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repository root). + +## Credits + +- Setting, notation, peeling, the DP / LP / Pencil / triple rules and the root-swap family: the author's **#2816**; Basis Lemma, direction list, Lemma S66 and the Parity Lemma: the author's **#2826**; both build on **#2338**, **#2277**, **#2724** (ours). The model is **#1224** (joaqcoo; one-sided nine-term decoders as overcomplete representations). **#2784** (ours) is cited for case (c). +- The gain law cited in the README is philippeVV's (Discussion #1587, follow-up 6). +- Tools: Python (standard library), `numpy`, `scipy` (`symlp.py`, as in #2816); a C compiler for `s6x.c` and `k3.c`. No SAT solver. +- No file is copied from another contributor. `checks/gen.py` and `checks/manifest_check.py` are copies of the author's files in #2826; `checks/dpX.py` and `checks/symlp.py` are copies of the author's files in #2816; all other scripts are the author's working-card scripts, with absolute paths removed where noted in `SOURCES.json`. +- `checks/gen3.py` and `checks/k3.c` are the independent second implementation (a separate working card of the author: own coordinates, labels, direction derivation, group, flat enumeration, qualifier test and refinement; no code shared with the first implementation). + +## New in this package + +Everything under `research/one-sided-excess-three/`: `README.md`, `verify.sh`, `SOURCES.json`, `MANIFEST.sha256`, `checks/`, `data/`, `evidence/logs`. diff --git a/research/one-sided-excess-three/README.md b/research/one-sided-excess-three/README.md new file mode 100644 index 0000000000..b8d8f987ca --- /dev/null +++ b/research/one-sided-excess-three/README.md @@ -0,0 +1,141 @@ +# Decoder floors, case (b): excess 3 is paid (≥ 64 with ≤ 4 non-full corrections; E8 lifts ≥ 68; no κ claim) + +**Scope: a research note, the follow-up to #2816 and #2826 (both ours). Every claim is a written proof plus exact finite computations that `verify.sh` re-runs (about 35–45 minutes, at most 3 processes at a time, each under `timeout 1200`, no SAT solver). No κ claim, no supplier word.** +Only `research/one-sided-excess-three/` is added; nothing existing is changed. + +Labels: **PROVEN** (written proof in this file, every finite input listed), **CHECKED** (an exact script re-run by `verify.sh`, assertion in `checks/check_logs.py`), **RECORDED** (a log shipped in `evidence/logs`, not re-run), +**INHERITED** (a statement of #2816 or #2826, cited from its text and not recomputed here), **OPEN**. + +## 0. Claims box (scope is part of the claim) + +Setting and notation are those of #2816 (P112 = the 112 non-frame lines of E8, dense F2-pairing of rank 9, Gram realisation, **case (b)**: factors `q_j ∈ col M`, factors `p_j` arbitrary; char 0; every number of terms `m`) and of #2826. `n_nf` = number of non-full corrected terms of the *normalised* decoder, as in #2816 §0 / §6. `Δ` = ε-free cost − 64 (decoder level), `Δ = Σ_b w(ρb) − 64` (lift level), as in #2816 §6–7. + +| # | Statement | Status | +|---|---|---| +| E1 | **The eight slack-3 multisets are dead.** None of `[7^5,6^5,2]`, `[7^5,6^5,1,1]`, `[7^4,6^6,3]`, `[7^4,6^6,1^3]`, `[7^9,4]`, `[7^9,3,1]` (all `d = 8`) and `[7^3,6^6,2]`, `[7^3,6^6,1,1]` (`d = 7`) occurs as the minimum-weight basis of `T = S_{≤7}`; with #2816 and #2826, **no `d ≥ 1` multiset of slack `cost(T) − 8d ≤ 3` occurs** | PROVEN from Lemma B + the finite statements E1a–E1c; **CHECKED by two independent implementations** (§3) | +| E1a | Two 6-dimensional label flats plus `s ≤ 2` lines: the qualifying directions span **≤ 4** dimensions of `R^8` (hence `< 7`) | CHECKED twice (§3.3) | +| E1b | Two 6-dimensional label flats plus a 3-dimensional label flat: span **≤ 7 < 8** (relaxed to four free lines; ≤ 7 on all pairs except 6), and on the 6 pairs where the relaxed span reaches 8 the exact third-flat refinement over all 161,420 three-dimensional label subspaces gives **≤ 4**. Both E1b multisets have `d = 8`, so `< 8` suffices. | CHECKED twice (§3.3) | +| E1c | A 7-dimensional and a 4-dimensional label flat: span **≤ 4** | CHECKED twice (§3.3) | +| E2 | **`d = 0` Carrier Lemma for `κ ≤ 3`.** If `ρS = 𝒞 ⊕ T`, `T = (ρS)_{≤7}`, `κ = cost_w(T) ≤ 3`, and `F` is a spanning family of nonzero vectors with `Σ_F w = 64 + Δ`, `Δ ≤ 7`, then at most `Δ` members of `F` are z-carrying | PROVEN (§4); finite inputs CHECKED (`carrier3.py`) | +| E3 | **`Δ ≤ 3 ⇒ n_nf ≤ Δ` (decoder level) and `Δ ≤ 3 ⇒ ρ_0 ≤ Δ` (lift level)** | PROVEN from E1 + E2 + INHERITED (§5) | +| E4 | **One-sided P112 decoders with `n_nf ≤ 4` non-full corrections (any number of full ones) cost ≥ 64**; in general corrected cost `≥ 64` for `n_nf ≤ 4` and `≥ 68 − n_nf` for `n_nf ≥ 4`, i.e. `≥ 64 − max(0, n_nf − 4) ≥ 60` (`n_nf ≤ 8`) — was `≥ 64 − max(0, n_nf − 3) ≥ 59` in #2826 | PROVEN from E3 | +| E5 | **Lift level:** every `S ⊇ 𝒞_{X_I}` has `cost_w(S) ≥ 64 + Δ + max(0, |I| − ρ_0) ≥ 64 + min(|I|, 4)`; every lift of the E8 root code (every E8/P120 decoder) has `cost_w ≥ 68`, and `≥ 72` unless the P112 restriction has `Δ ≥ 4`; gain-law form `|P120| − C(P120) ≤ 52` | PROVEN from E3 | + +**Tightness.** The root-swap family of #2816 §6 (exact `P·Y = C`, `rootswap.py` there) attains corrected cost exactly 64 for `n_nf = 1, 2, 3, 4`, so E4 (`≥ 64` for `n_nf ≤ 4`) cannot be improved at `n_nf = 4`. +**Not claimed / OPEN.** `Δ ≥ n_nf` for `n_nf ≥ 5` (equivalently the cases `Δ ≥ 4`); slack 4 at the `T`-level and `κ = 4` in the Carrier Lemma are not treated here. Two-sided decoders; case (c) (see #2784 for the A2 family); P104 and other punctured units; fields of positive characteristic (as in #2816). + +## 1. Overlap and credit + +Builds directly on **#2816** (setting, peeling, DP/LP/Pencil/triple rules, root-swap family) and **#2826** (Basis Lemma, direction list, Lemma S66, Parity Lemma, the `κ ≤ 2` Carrier Lemma), both ours; also on #2724 / #2338 / #2277 (ours), #2784 (ours, case (c)), #1224 (joaqcoo; the model). Credit: philippeVV (gain law, Discussion #1587 follow-up 6). No file is copied from another contributor. + +## 2. Setting, and what is inherited + +Notation of #2826 §2: `T = S_{≤7}`, minimum-weight basis `q_1..q_a` (weights `w_j ≤ 7`), `D = 𝒞 ∩ T`, `d = dim D`, `e = a − d`, `λ: T → T/D ≅ K^e`, `λ_j = λ(q_j)`; `Λ(V)` = P112 lines with label in the label subspace `V ⊆ F2^9`; `weight(p) = rank_F2 ℓ(supp p)`; `Off(h) = supp p_h`; `z_i = (1, f̄_i)`, `W_i = z_i^⊥`; a vector is **z-carrying** if the label span of its support contains some `z_i`. + +**INHERITED (cited, not recomputed here).** +* (#2816 §3.2) `|Off(h)| ≥ 53` for `h ≠ 0`, `= 53` for the 112 roots, `56` for the 8 frame directions, `≥ 70` otherwise; every codeword has weight ≥ 8, so every `λ_j ≠ 0`; weight 8 for `p_h` exactly when `h ∝ f_i`. +* (#2816 §3.3) flat caps `g(1..8) = 1, 2, 4, 8, 12, 20, 36, 64`. +* (#2816 §3.2) **Peeling**: `cost_w(S) = 8(s − a_7) + cost_w(T) + c_8`, `s − a_7 = (8 − d) + x`, `x ≥ 0`, so `Δ_w = (cost(T) − 8d) + 8x + c_8` with every term `≥ 0` (#2816 Theorem 1: `cost_w(T) ≥ 8d`). +* (#2816 §4 (C1)–(C3), (LP); §5.3; §8) the necessary conditions on the weight multiset of `T`: DP rules, quotient LP, **Pencil Lemma** (`e − 1` anchor pieces on ≤ 4 lines force `d ≤ 2`), the `e = 2` triple rule; circuit lemma. +* (#2826 §3–§4) **Lemma B** (Basis Lemma; its proof is repeated in §3.1 below), the **direction list** for `|Off| ≤ 80` (complete; rank-7 `E7/D7/E6+A1` directions of norm 2, 4, 6 and the 1120 `A2` pencils with generic `|Off| ∈ {78, 80}`), **Lemma S66 / S66+t** (two 6-flats: span ≤ 3), and the **Parity Lemma** (i), (ii). +* (#2816 §6) Lemma P, normalisation and Theorem A: corrected cost `= 64 + Δ − n_nf`; (#2816 §7) the lift-level identity `cost_w(S) = 64 + Δ + D`, the frame-rank bound `|I| ≤ ρ_0 + |B_+|`, and the definitions of `B_0`, `ρ_0`. + +## 3. The eight slack-3 multisets (E1) + +### 3.1 Lemma B and the kill criterion (PROVEN; as in #2826 §3, any `d`) + +**Lemma B.** Let `B` be any set of `e` pieces with `{λ_b : b ∈ B}` a basis of `K^e`, and `U_B := ∪_{b∈B} Λ(F_b)` (`F_b` = label span of `supp q_b`, `dim F_b = w_b`). Then there are **`d` linearly independent** directions `h_y` (one per non-basis piece `y ∉ B`) with `Off(h_y) ⊆ U_B ∪ Λ(F_y)`, `dim F_y = w_y ≤ 7`. +*Proof.* Write `λ_y = Σ_{b∈B} c_b λ_b`; then `v_y := q_y − Σ c_b q_b ∈ ker λ = D ⊆ 𝒞`, so `v_y = p_{h_y}` for a unique `h_y`, and `v_y ≠ 0` because the `q`'s are independent. `supp v_y ⊆ supp q_y ∪ ∪_B supp q_b`; lines of `supp q_y` have labels in `F_y`, lines of `supp q_b` lie in `Λ(F_b)`. The `v_y` (`y ∉ B`; there are `a − e = d` of them) have `q_y`-coefficient 1 in `v_y` and 0 in every `v_{y'}`, `y' ≠ y`, so they are linearly independent, and `p` is injective. ∎ + +**Kill criterion.** If `U_B ⊆ X ∪ L` (`X` a union of `Λ(·)` of label flats, `L` a set of `s` lines), the `d` directions `h_y` lie in `H := {h : rank_F2 ℓ(Off(h) ∖ (X ∪ L)) ≤ 7}`, since `ℓ(Off(h_y) ∖ U_B) ⊆ F_y` has rank ≤ 7. So if `dim span H < d` for every admissible `(X, L)`, the multiset is impossible. Replacing "one `L` for all `h`" by "an `L_h` with `|L_h| ≤ s` chosen separately for each `h`" only enlarges `H` (sound for a kill). + +**λ-independence of `B` (PROVEN).** Any `e` pieces whose total support has `< 53` lines are λ-independent: a dependency would give a nonzero codeword with `Off` inside their supports, but `|Off| ≥ 53` (#2816; the circuit lemma). + +### 3.2 The reduction to eight multisets (CHECKED once: `land3.py 3`) + +`checks/land3.py K` enumerates, for `d = 1..8` and slack `k = cost(T) − 8d ≤ K`, the weight multisets passing the DP rules (`dpX.py`, #2816 (C1)–(C3)), then applies in order: the quotient LP (`symlp.py`, #2816 (LP)); **Basis-kill** (`d ≥ 4` and some `e` pieces pack into two groups of total weight ≤ 6, plus at most one further 1-piece: #2826 §4, S66 / S66+t); **Pencil** (`d ≥ 3`, the `e − 1` smallest pieces have `Σ g ≤ 4`: #2816 §8); **E2-triple** (`e = 2` and at least 5 pieces of weight ≤ 6: #2816 §5.3). At `K = 3` it prints: no survivor at slack ≤ 2 (the six `d = 8` multisets of #2816 §9 are among the Basis-killed ones, #2826), and at slack 3 exactly + +| multiset | `d` | `e` | `B` (the `e` smallest pieces) | `\|X\| ≤` | cover `X ⊇ U_B` | `\|Off(h_y)\| ≤` | span needed `<` | +|---|---|---|---|---|---|---|---| +| `[7^5,6^5,2]` | 8 | 3 | {2,6,6} | 42 | 6-flat, 6-flat, 2 lines | 78 | 8 | +| `[7^5,6^5,1,1]` | 8 | 4 | {1,1,6,6} | 42 | 6-flat, 6-flat, 2 lines | 78 | 8 | +| `[7^3,6^6,2]` | 7 | 3 | {2,6,6} | 42 | 6-flat, 6-flat, 2 lines | 78 | 7 | +| `[7^3,6^6,1,1]` | 7 | 4 | {1,1,6,6} | 42 | 6-flat, 6-flat, 2 lines | 78 | 7 | +| `[7^4,6^6,3]` | 8 | 3 | {3,6,6} | 44 | 6-flat, 6-flat, 3-flat | 80 | 8 | +| `[7^4,6^6,1^3]` | 8 | 5 | {1,1,1,6,6} | 44 | 6-flat, 6-flat, 3-flat (spanned by the 3 lines) | 80 | 8 | +| `[7^9,4]` | 8 | 2 | {4,7} | 44 | 7-flat, 4-flat | 80 | 8 | +| `[7^9,3,1]` | 8 | 3 | {1,3,7} | 44 | 7-flat, 4-flat (spanned by the 3-piece and the line) | 80 | 8 | + +(`X` is the union of the `Λ(·)` of the covering flats; `|X|` is bounded by the flat caps `20 + 20 + 2`, `20 + 20 + 4`, `36 + 8`. Since `U_B ⊆ X` and `|X| ≤ 44 < 53`, `B` is λ-independent (§3.1). The bound on `|Off(h_y)|` is `|X| + g(7) = |X| + 36`.) +**What each stage rests on.** DP, LP, Pencil, triple rule: the written proofs and the finite inputs of #2816 (the code is that of #2816's `c66.py`/`land.py`, run with slack ≤ 3 and with the Basis-kill stage added); Basis-kill: S66 / S66+t of #2826. The **landscape itself is one implementation** (the DP/LP stages are the shared code of #2816); an error there could only keep a dead multiset in the list or remove a live one, and the removed ones are justified stage by stage by the cited statements. The independence below concerns the finite kills of the eight survivors. + +### 3.3 The finite statements E1a–E1c (CHECKED twice) + +For label flats `V_1, V_2` (dimension 6 or 7, 4), a set `X = Λ(V_1) ∪ Λ(V_2)` and `s ≥ 0`, let `H_s(V_1, V_2)` be the directions `h` of the list with `|Off(h)| ≤ lim` for which some set of at most `s` lines, chosen separately for each `h`, satisfies `rank_F2 ℓ(Off(h) ∖ X ∖ L_h) ≤ 7`; a pencil of directions (an `A2` plane, all members sharing one `Off` set) counts as 2 dimensions, correctly, because every direction with `|Off| ≤ 80` whose root system is `E6` is a member of exactly one pencil and has that pencil's generic `Off` (#2826 §4; all other members of the plane are among the finite directions), so it qualifies iff the generic set does. For the relaxed three-flat case the third flat is then enumerated exactly (below). + +| statement | multisets | what is run | bound (needed `<`) | +|---|---|---|---| +| E1a | `[7^5,6^5,2]`, `[7^5,6^5,1,1]` (`<8`); `[7^3,6^6,2]`, `[7^3,6^6,1,1]` (`<7`) | `(6,6)`, `s = 2`, `lim = 78`, all 159 orbit representatives of `V_1` against all 776,805 line sets of `V_2` | span **≤ 4**, ≤ 10 directions; rank histogram `1:14024 2:15950 3:1108 4:65` | +| E1b | `[7^4,6^6,3]`, `[7^4,6^6,1^3]` (`<8`) | `(6,6)`, `s = 4`, `lim = 80`, relaxed; on every pair with relaxed rank 8 (6 pairs) the third flat `V_3` over **all 161,420** three-dimensional label subspaces | relaxed histogram `1:319084 2:592591 3:24565 4:3405 5:543 6:144 7:36 8:6`; exact refinement **≤ 4** on all 6; hence span ≤ 7 < 8 everywhere | +| E1c | `[7^9,4]`, `[7^9,3,1]` (`<8`) | `(7,4)`, `s = 0`, `lim = 80`, 51 orbit representatives of the 7-flat | span **≤ 4**, ≤ 12 directions; `3:6 4:2` | +| controls | — | `(6,6)`, `s = 0`, `lim = 76`: span 3, 6 directions (= S66 of #2826); `(7,7)`, `s = 0`, `lim = 76`: **rank 8 on 152 pairs** | the test is not vacuous | + +(For E1b the pairs with relaxed rank ≤ 7 already give `< 8`, and the exact set is a subset of the relaxed one.) + +* **Implementation A** (`checks/s6x.c`, with `gen.py 80`, the generator of #2826): labels from the Bourbaki simple-root basis, directions = the primitive E8 vectors of norm ≤ 8 with `|Off| ≤ lim`, plus the 1120 A2 pencils, 12 generators of the group of order 172,032 (8 frame reflections and 4 permutations of the Hamming [8,4,4] code), orbit representatives by union–find over all flats, exact fraction-free integer real rank. A different program from `s66.c` of #2826: it adds the relaxed `s`-line test, pencil handling and the exact third-flat refinement. +* **Implementation B** (`checks/k3.c`, with `checks/gen3.py`; written separately by another card): standard `D8+` coordinates (doubled), labels = coordinates in its own `Z`-basis mod 2, its own direction/pencil derivation (120 / 1080 / 3360 finite directions and 1120 pencils, matching the theta series), its own group (derived, order 172,032, direction list verified invariant), its own flat enumeration (greedy-minimal dual bases), its own qualifier test (dual-pair counting: some `⟨w_1, w_2⟩` with `|R ∩ Z[w_1] ∩ Z[w_2]| ≥ |R| − s`), its own 128-bit exact rational rank, and its own third-flat refinement. The author of B had read the first card's theory notes and kernel before writing it, so what is shared is the mathematical reduction (Lemma B, the direction-list statement, the kill criterion), not code or coordinates. +* The two implementations agree on **every** histogram above, and on both controls; `check_logs.py` asserts the merged chunk results of both against the numbers in the table. + +**Proof of E1 (PROVEN).** For each row of §3.2: `B` is λ-independent (§3.1), so a basis of `K^e`; the cover of `U_B` is as in the table (a weight-`w` piece has its label span of dimension `w`, so its support lies in a `w`-flat; a `w`-flat is contained in a 6- or 7-flat, and `Λ` is monotone); Lemma B gives `d` independent directions in `H` with `|Off| ≤ lim`; E1a–E1c give `dim span H ≤ 7 < d` (≤ 4 for E1a and E1c, where `d` may be 7). Contradiction. ∎ + +### 3.4 What neither implementation re-audits + +Lemma B (proved in §3.1; its use for `d < 8` is the same proof), the completeness of the direction list for `|Off| ≤ 80` (proved in #2826 §4, finite inputs `gen.py` there; the pencil remark above is the only addition), the bookkeeping of `land3.py` (one implementation, §3.2), and the Parity and Carrier proofs (§4, written here; their finite inputs are re-run by `carrier3.py`). A reader who wants a second check of the landscape can read `land3.py` (45 lines) against the stage list in §3.2. + +## 4. The `d = 0` Carrier Lemma for `κ ≤ 3` (E2, PROVEN) + +**Parity Lemma (PROVEN; (i) as in #2826; (ii) in the form needed here, which is stronger than #2826's statement for pairwise non-orthogonal quadruples; (iii) is new).** Lines are E8 roots `r`; labels `ℓ = (1, r̄)`, `β(ℓ_a, ℓ_b) = 1 + ⟨r_a, r_b⟩ mod 2`; distinct lines have `⟨r_a, r_b⟩ ∈ {0, ±1}`, and `Q(x̄) := |x|²/2 mod 2` is well defined on `E8/2E8` with `Q(r̄) = Q(f̄_i) = 1`. +(i) Pairwise non-orthogonal lines have β-orthonormal labels, hence independent labels. +(ii) Four lines `a, b, c, d` with `ℓ_a + ℓ_b + ℓ_c + ℓ_d = 0` have `Σ ±r ∈ 2E8` for every choice of signs, so `⟨r_a, Σ⟩` is even; if `b, c, d` are non-orthogonal to `a` then `⟨r_a, Σ⟩ = 2 ± 1 ± 1 ± 1` is odd: contradiction. +(iii) Three pairwise non-orthogonal lines never have `ℓ_a + ℓ_b + ℓ_c = z_i`: that means `r̄_a + r̄_b + r̄_c = f̄_i`, but `Q(r̄_a + r̄_b + r̄_c) = (6 + 2(±1 ± 1 ± 1))/2 = 3 ± 1 ± 1 ± 1 ≡ 0 ≠ 1 = Q(f̄_i)`. +(CHECKED, `carrier3.py`: 25,088 pairwise non-orthogonal triples, none with label sum in `{z_i}`; 88,704 pairwise non-orthogonal quadruples, none with label sum 0; 24,276 quadruples of lines with label sum 0, none of which has a line non-orthogonal to the other three; control: 7,168 triples with label sum in `{z_i}` exist.) + +**Finite inputs of §4 (CHECKED, `carrier3.py`).** (a) `β(ℓ_s, ℓ_t) = 1 + ⟨r_s, r_t⟩ mod 2` on all 112 × 112 pairs, so `ℓ_s ∈ ℓ_t^⊥ ⇔ ⟨r_s, r_t⟩ = ±1`; the `z_i` are not labels of P112 lines and `β(z_i, z_j) = 1` for all `i, j` (so no `z` lies in a flat `W_j`). (b) For every root `r_t` (all 112): `|Off(r_t)| = 53`, label rank 9, `t` is a coloop, `span ℓ(Off(r_t) ∖ t) = W_t := ℓ_t^⊥` (rank 8), and every cocircuit of the 52 lines `Off(r_t) ∖ t` has size ≥ 5 (the minimum is 20): deleting at most 4 lines never lowers the rank. (c) For every frame direction `f_j` (all 8): `|Off| = 56`, label rank 8, label span `W_j`, every cocircuit of size ≥ 5 (minimum 24). + +**Lemma (κ ≤ 3).** Let `S'` be a space with `𝒞 ⊆ S'`, `S' = 𝒞 ⊕ T`, `T = S'_{≤7}`, `κ := cost_w(T) ≤ 3`, and `F` a family of nonzero vectors spanning `S'` with `Σ_F w = 64 + Δ`, `Δ ≤ 7`. Then the number of z-carrying members of `F` is at most `Δ`. + +*Proof.* **Step 0 (counts).** Every vector of weight ≤ 7 lies in `T`. Put `F_T := F ∩ T`, `F_8 := F ∖ T`; members of `F_8` have weight 8 or 9 (weights are ≤ 9) and are `p_h + τ` with `h ≠ 0`, `τ ∈ T`. `F_8` spans `S'/T ≅ 𝒞`, so `|F_8| ≥ 8`; if `F_T` does not span `T`, then `|F_8| ≥ 9`, `Σ_F w ≥ 72`, `Δ ≥ 8`. So `F_T` spans `T`, `|F_8| = 8`, and `Δ = Σ_{F_T} w + c_9`, `c_9` the number of weight-9 members of `F_8`. The 8 members of `F_8` are a basis of `S'/T`, so their directions `h` are independent. Also `Σ_{F_T} w ≥ κ` (a spanning set contains a basis). + +**Step 1 (weight-8 members are frame or root swaps).** `T` has a basis of pieces with weights summing to `κ ≤ 3`; by `g(1), g(2), g(3) = 1, 2, 4` we have `|supp T| ≤ 4`, with `|supp T| ≤ 3` unless `T = ⟨q⟩` for a 3-piece `q` with four lines (§ below). Let `v = p_h + τ ∈ F_8` have weight 8. `Off(h) ∖ supp τ ⊆ supp v`, which lies in a label flat of rank 8 (≤ 64 lines), so `|Off(h)| ≤ 68 < 70`: `h` is a root or a frame direction. +*Frame `h = f_j`.* `Off(f_j) ∖ supp τ` has rank 8 (c: deleting ≤ 4 lines keeps rank 8), so the flat of `v` is `W_j`, which contains no `z_i` (a): `v` is not z-carrying. +*Root `h = r_t`.* If `t ∉ supp τ`, `Off(r_t) ∖ supp τ` contains the coloop `t` and the rank-8 remainder (b), so `v` has weight 9: contradiction. So `t ∈ supp τ`, and `Off(r_t) ∖ supp τ ⊇ Off(r_t) ∖ ({t} ∪ L)` with `|L| ≤ 3` has rank 8 and spans `W_t` (b), so the flat of `v` is `W_t`. A line `s ∈ supp τ`, `s ≠ t`, either has `v(s) ≠ 0`, so `ℓ_s ∈ W_t`, i.e. `⟨r_s, r_t⟩ = ±1` (a); or `v(s) = 0`, so `p_h(s) ≠ 0` and `s ∈ Off(r_t)`, again `⟨r_s, r_t⟩ = ±1`. Hence: **a weight-8 root member is a *swap at `t`*: `t ∈ supp τ` and every other line of `supp τ` is non-orthogonal to `t`.** The directions `h` of the members of `F_8` are independent, so the swaps sit at distinct lines `t ∈ supp T`: their number `m` satisfies `m ≤ |supp T|`. + +**Step 2 (counting).** z-carrying members: `m_T` in `F_T`, at most `m` among the weight-8 members of `F_8`, at most `c_9` weight-9 members. Since `Δ = Σ_{F_T} w + c_9`, it is enough to show **`m_T + m ≤ Σ_{F_T} w`**. A z-carrying vector in `T` has weight ≥ 3: a flat spanned by ≤ 2 labels has as affine points (first coordinate 1) only those labels, and `z_i` is not a label (a); for weight 3 its support is three lines with `ℓ_a + ℓ_b + ℓ_c = z_i`. +* `κ ≤ 2`: `T` is spanned by ≤ 2 one-pieces or one 2-piece, `|supp T| ≤ κ`, `m_T = 0`, `m ≤ κ ≤ Σ_{F_T} w`. +* `κ = 3`, `dim T ≥ 2` (pieces `(2,1)` or `(1,1,1)`, so `|supp T| = 3`, `m ≤ 3`): if `m_T = 0`, `m ≤ 3 = κ ≤ Σ`. If `m_T ≥ 1`: either some member of `F_T` is not z-carrying, then `Σ ≥ 3 m_T + 1 ≥ m_T + m` (as `m ≤ 3 ≤ 2m_T + 1`), or all members are z-carrying, `m_T ≥ dim T ≥ 2` and `Σ ≥ 3 m_T ≥ m_T + 4 ≥ m_T + m`. +* `κ = 3`, `T = ⟨q⟩`, `q` of weight 3, all members of `F_T` multiples of `q`, each of weight 3. `supp q` has 3 or 4 lines (`g(3) = 4`). + - **4 lines**: the labels are the four affine points of a 3-dimensional label space, so they sum to 0 and no `z_i` is among its points: `q` is not z-carrying, `m_T = 0`. A swap at `a ∈ supp q` needs the other three lines non-orthogonal to `a`, which Parity (ii) forbids: `m = 0`. + - **3 lines, `q` z-carrying** (`ℓ_a + ℓ_b + ℓ_c = z_i`): `m_T = |F_T| ≥ 1`. Two swaps among `{a, b, c}` make them pairwise non-orthogonal (each swap makes the other two lines non-orthogonal to its own), contradicting Parity (iii): `m ≤ 1`, so `m_T + m ≤ 1 + m_T ≤ 3 m_T = Σ_{F_T} w`. + - **3 lines, not z-carrying**: `m_T = 0`, `m ≤ 3 = κ ≤ Σ`. ∎ + +(For `κ ≤ 2` this is the Carrier Lemma of #2826 §5; the extra cases `κ = 3` are the ones above.) + +## 5. Consequences (E3–E5) + +**Theorem Δ3 (PROVEN from E1 + E2 + INHERITED).** Let `S'` be the span of a family `F` of nonzero vectors with `Σ_F w = 64 + Δ`, `Δ ≤ 3`, such that `S' ⊇ 𝒞`; for a decoder `F` = the nonzero columns of `P`, `S' = col P`, `Σ_F w` = the ε-free cost; for a lift `F = {ρb ≠ 0}`, `S' = ρS`. Then at most `Δ` members of `F` are z-carrying. +*Proof.* `cost_w(S') ≤ Σ_F w`, so peeling gives `Δ ≥ (cost(T) − 8d) + 8x + c_8` with `T = S'_{≤7}`, `d = dim(𝒞 ∩ T)`. Hence the slack of `T` is ≤ 3 and `x = 0`. If `d ≥ 1` the weight multiset of a minimum basis of `T` has slack ≤ 3 and satisfies the necessary conditions of #2816, and is impossible: for slack ≤ 2 by #2816 and #2826, for slack 3 by E1. So `d = 0`, `cost_w(T) = κ ≤ 3`, `s' − a_7 = 8` and `S' = 𝒞 ⊕ T`. Apply the Lemma of §4. ∎ + +1. **E3, lift level.** The members of `B_0` (#2816 §7: drop 0 and `π_F b ≠ 0`) are z-carrying members of `F`, so `ρ_0 ≤ |B_0| ≤ Δ` when `Δ ≤ 3`. +2. **E3, decoder level.** The non-full corrected terms of the normalised decoder are columns `(f_i, U)` with `z_i ∈ U = ℓ-span of their support`, at most one per `i`: z-carrying members of `F`, so `n_nf ≤ Δ` when `Δ ≤ 3`. Equivalently `n_nf ≥ 4 ⇒ Δ ≥ 4`. +3. **E4 (one-sided P112 decoders).** Corrected cost `= 64 + Δ − n_nf` (#2816). If `Δ ≤ 3` then `n_nf ≤ Δ` and the cost is `≥ 64`; if `Δ ≥ 4` the cost is `≥ 68 − n_nf`. So `n_nf ≤ 4` gives `≥ 64`, and in all `≥ 64 − max(0, n_nf − 4) ≥ 60`. +4. **E5 (lift level).** `cost_w(S) = 64 + Δ + D ≥ 64 + Δ + max(0, |I| − ρ_0)` (#2816 §7). For `Δ ≤ 3` this is `≥ 64 + |I|`; for `Δ ≥ 4` it is `≥ 64 + Δ ≥ 68`. So `cost_w(S) ≥ 64 + min(|I|, 4)` for every `I`. For `I = [8]` (every lift of the E8 root code): `≥ 64 + 8 = 72` when `Δ ≤ 3`, and `≥ 68` when `Δ ≥ 4`; so `cost_w ≥ 68` always and `≥ 72` unless `Δ ≥ 4`; gain-law form `|P120| − C(P120) ≤ 120 − 68 = 52`. + +## 6. What remains OPEN (exactly) + +1. **`Δ ≥ n_nf` for `n_nf ≥ 5`**, i.e. corrected cost `≥ 64` with ≥ 5 non-full corrections; the root-swap family of #2816 §6 reaches exactly 64 for `n_nf ≤ 4` and has no member with `n_nf = 5`, so a proof for `n_nf = 5` would have to be exact on whatever replaces it. This note gives `Δ ≤ 3 ⇒ n_nf ≤ Δ` only. +2. Two-sided decoders; case (c); other units; positive characteristic (as in #2816). + +## 7. Reproduction + +`bash verify.sh [outdir]` (Python ≥ 3.11 with numpy ≥ 2.0 and scipy; `cc` with 128-bit integers; `nice -n 10`; at most 3 processes at a time, `timeout 1200` on every process, three fixed lanes for the chunked stages (one `wait` on the lanes), no wait loops). Step 0 checks `MANIFEST.sha256`; step 1 regenerates `data80.txt`, `gens.txt` (`gen.py 80`) and `data3.txt` (`gen3.py`) and compares them byte for byte with `data/`, runs `land3.py 3` and `carrier3.py`; step 2 compiles `s6x.c` and `k3.c`; step 3 runs the kills and controls of §3.3 in both implementations (implementation A: 24 chunks of reps for `(6,6)`, `s = 4` with the refinement, 3 chunks for `s = 2`; implementation B: 4 chunks for `s = 4`, 2 for `s = 2`); step 4 `checks/check_logs.py` prints one PASS/FAIL line per assertion above, including that the chunks of every run cover each orbit representative exactly once. +`evidence/logs` holds the logs of the run that produced the numbers above (RECORDED; 2300 s on a heavily loaded machine; `evidence/all.out.txt` is its assertion output: 25 PASS, 0 FAIL); `SOURCES.json` pins every shipped script to the working-card file it was copied from. diff --git a/research/one-sided-excess-three/SOURCES.json b/research/one-sided-excess-three/SOURCES.json new file mode 100644 index 0000000000..0705ecc3c2 --- /dev/null +++ b/research/one-sided-excess-three/SOURCES.json @@ -0,0 +1,75 @@ +{ + "description": "Pins for research/one-sided-excess-three. copies = shipped file and the file it was copied from (sha256 of both; the origin is named by PR number or working card, not by path). Differences: checks/land3.py reads dpX.py from its own directory instead of an absolute card path and has a usage comment; checks/gen.py is as shipped in #2826 (writes into the current directory). checks/carrier3.py and checks/check_logs.py, verify.sh are new. evidence/logs are the logs of the verify.sh run that produced the numbers in the README (RECORDED, not re-run). External: none pinned; #2816 and #2826 are cited from their statements.", + "copies": [ + { + "path": "checks/gen.py", + "origin": "#2826 checks/gen.py", + "sha256": "559fbeaa6718036c5c5a4a93918983886b6ed06b80118ea4bcaeaa8ed53f067d", + "origin_sha256": "559fbeaa6718036c5c5a4a93918983886b6ed06b80118ea4bcaeaa8ed53f067d", + "identical": true + }, + { + "path": "checks/manifest_check.py", + "origin": "#2826 checks/manifest_check.py", + "sha256": "012739ff3dc3421c187ca089b361c0b1d49f808908a5a7efdb0603c20f08ca71", + "origin_sha256": "012739ff3dc3421c187ca089b361c0b1d49f808908a5a7efdb0603c20f08ca71", + "identical": true + }, + { + "path": "checks/dpX.py", + "origin": "#2816 checks/dpX.py (identical to card OS-CHARGE2/dpX.py)", + "sha256": "5efbcae78dd105bc18c2418a49af74b5696db0e4c46882ba51ca32399dec299d", + "origin_sha256": "5efbcae78dd105bc18c2418a49af74b5696db0e4c46882ba51ca32399dec299d", + "identical": true + }, + { + "path": "checks/symlp.py", + "origin": "#2816 checks/symlp.py (identical to card OS-CHARGE2/symlp.py)", + "sha256": "8b4bcfa654f019c6500a5778acbf8011f23103a78e82c252dc64b9491928f477", + "origin_sha256": "8b4bcfa654f019c6500a5778acbf8011f23103a78e82c252dc64b9491928f477", + "identical": true + }, + { + "path": "checks/land3.py", + "origin": "card SIX land3.py", + "sha256": "42cfc785dab15af6c9c7f79279faaa9bde5fca7876b6b024f0279f0149ee3b54", + "origin_sha256": "bb0cc7b5a54c241e6859b3b5e1abf2a66f2beb336b184d6b8570170c070c3bc4", + "identical": false + }, + { + "path": "checks/s6x.c", + "origin": "card SIX s6x.c", + "sha256": "f2049dc411fbd6944ec422bb02ae8a1a790b3f62200df67a22e203cfeb50e657", + "origin_sha256": "f2049dc411fbd6944ec422bb02ae8a1a790b3f62200df67a22e203cfeb50e657", + "identical": true + }, + { + "path": "checks/gen3.py", + "origin": "card SIX3IND gen3.py", + "sha256": "d8f1b27865e18152513b02b594bc684eb3ec2649b484968c10855414c801e643", + "origin_sha256": "d8f1b27865e18152513b02b594bc684eb3ec2649b484968c10855414c801e643", + "identical": true + }, + { + "path": "checks/k3.c", + "origin": "card SIX3IND k3.c", + "sha256": "a445b4839a1a1d80504c80b0b3988122afc67139a5c1c266b1678dff4d451c67", + "origin_sha256": "a445b4839a1a1d80504c80b0b3988122afc67139a5c1c266b1678dff4d451c67", + "identical": true + }, + { + "path": "data/data80.txt", + "origin": "card SIX data80.txt (regenerated byte-identical by checks/gen.py 80)", + "sha256": "d23ad440471c3afd1a894b3439e29a05f498edfe2af33d7a667ca1d8f1d6b9c5", + "origin_sha256": "d23ad440471c3afd1a894b3439e29a05f498edfe2af33d7a667ca1d8f1d6b9c5", + "identical": true + }, + { + "path": "data/data3.txt", + "origin": "card SIX3IND data3.txt (regenerated byte-identical by checks/gen3.py)", + "sha256": "d9973d09f7c5e578e569d9d1cb3df246d8e5abcbd2d7a03e82f3cc6351a67864", + "origin_sha256": "d9973d09f7c5e578e569d9d1cb3df246d8e5abcbd2d7a03e82f3cc6351a67864", + "identical": true + } + ] +} \ No newline at end of file diff --git a/research/one-sided-excess-three/checks/carrier3.py b/research/one-sided-excess-three/checks/carrier3.py new file mode 100644 index 0000000000..a7360df67b --- /dev/null +++ b/research/one-sided-excess-three/checks/carrier3.py @@ -0,0 +1,97 @@ +# Finite inputs of the kappa <= 3 Carrier Lemma (README section 4) and of the Parity Lemma. usage: python carrier3.py data80.txt +# Reads the 112 labels, the 8 frame labels and the 112 line vectors (doubled E8 coordinates, true inner product = dot // 4) from the data file written by gen.py. +import sys, itertools +L = open(sys.argv[1]).read().split('\n') +LAB = list(map(int, L[0].split())); ZL = list(map(int, L[1].split())) +P = [tuple(map(int, L[2 + i].split())) for i in range(112)] +dot = lambda a, b: sum(x * y for x, y in zip(a, b)) // 4 +par = lambda x: bin(x).count('1') & 1 +frame = [] +for k in range(4): + for sg in (2, -2): + v = [0] * 8; v[2 * k] = 2; v[2 * k + 1] = sg; frame.append(tuple(v)) +assert len(LAB) == 112 and len(set(LAB)) == 112 and len(ZL) == 8 and len(set(ZL)) == 8 +# the form beta on F2^9 = F2 + E8/2E8, given by the Gram matrix of the Z-basis (simple roots of gen.py) mod 2 +simple = [(1,-1,-1,-1,-1,-1,-1,1),(2,2,0,0,0,0,0,0),(-2,2,0,0,0,0,0,0),(0,-2,2,0,0,0,0,0),(0,0,-2,2,0,0,0,0),(0,0,0,-2,2,0,0,0),(0,0,0,0,-2,2,0,0),(0,0,0,0,0,-2,2,0)] +G = [[dot(a, b) % 2 for b in simple] for a in simple] +def beta(u, v): + r = (u & 1) * (v & 1) + for i in range(8): + for j in range(8): + r ^= ((u >> (i + 1)) & 1) & ((v >> (j + 1)) & 1) & G[i][j] + return r & 1 +bad = 0 +ip = [[dot(P[s], P[t]) for t in range(112)] for s in range(112)] +# (1) beta(l_s, l_t) = 1 + mod 2 for every pair (including s = t); distinct lines have in {0, +-1} +ok1 = all(beta(LAB[s], LAB[t]) == (1 + ip[s][t]) % 2 for s in range(112) for t in range(112)) +ok2 = all(ip[s][t] in (0, 1, -1) for s in range(112) for t in range(112) if s != t) and all(ip[s][s] == 2 for s in range(112)) +print(('PASS' if ok1 and ok2 else 'FAIL') + ' beta(l_s,l_t) = 1 + mod 2 on all 112x112 pairs; distinct lines have inner product 0, +-1'); bad += not (ok1 and ok2) +# (2) frame labels +okz = all(beta(ZL[i], ZL[j]) == 1 for i in range(8) for j in range(8)) and not set(ZL) & set(LAB) +print(('PASS' if okz else 'FAIL') + ' frame labels z_i: beta(z_i,z_j) = 1 for all i,j (so z_i is not in the flat W_j = z_j^perp), and no z_i is the label of a P112 line'); bad += not okz +# (3) cocircuit sizes +def span_rank(vs): + bs = [] + for x in vs: + for b in bs: x = min(x, x ^ b) + if x: bs.append(x) + return len(bs) +def min_cocircuit(labs): + # smallest positive number of lines of `labs` outside a hyperplane (functional phi != 0 on F2^9): deleting fewer lines never lowers the rank + best = 10 ** 9 + for phi in range(1, 512): + c = sum(par(phi & x) for x in labs) + if 0 < c < best: best = c + return best +rt = [] +for t in range(112): + off = [s for s in range(112) if ip[s][t] != 0] + offt = [LAB[s] for s in off if s != t] + assert len(off) == 53 and span_rank([LAB[s] for s in off]) == 9 and span_rank(offt) == 8 + assert all(beta(LAB[t], x) == 0 for x in offt) # span(Off(r_t) minus t) = l_t^perp = W_t + assert [s for s in range(112) if beta(LAB[t], LAB[s]) == 0] == [s for s in off if s != t] # l_s in W_t <=> s in Off(r_t), s != t + rt.append(min_cocircuit(offt)) +okr = min(rt) >= 5 +print(('PASS' if okr else 'FAIL') + ' root r_t (all 112): |Off| = 53, label rank 9, t is a coloop, span(Off minus t) = W_t = l_t^perp contains exactly the labels of Off minus t; every cocircuit of the 52 other lines has size >= 5 (minimum %d): deleting <= 4 lines never lowers the rank' % min(rt)); bad += not okr +ft = [] +for j in range(8): + off = [s for s in range(112) if dot(P[s], frame[j]) != 0] + labs = [LAB[s] for s in off] + assert len(off) == 56 and span_rank(labs) == 8 and all(beta(ZL[j], x) == 0 for x in labs) + ft.append(min_cocircuit(labs)) +okf = min(ft) >= 5 +print(('PASS' if okf else 'FAIL') + ' frame direction f_j (all 8): |Off| = 56, label rank 8 = W_j; every cocircuit has size >= 5 (minimum %d)' % min(ft)); bad += not okf +# (4) Parity Lemma: pairwise non-orthogonal lines +adj = [sum(1 << t for t in range(112) if t != s and ip[s][t] != 0) for s in range(112)] +tri = quad = 0; tri_z = quad_0 = 0 +for a in range(112): + for b in range(a + 1, 112): + if not (adj[a] >> b) & 1: continue + cab = adj[a] & adj[b] + for c in range(b + 1, 112): + if not (cab >> c) & 1: continue + tri += 1; sm = LAB[a] ^ LAB[b] ^ LAB[c] + if sm in ZL: tri_z += 1 + cabc = cab & adj[c] + for d in range(c + 1, 112): + if (cabc >> d) & 1: + quad += 1 + if sm ^ LAB[d] == 0: quad_0 += 1 +okp = tri_z == 0 and quad_0 == 0 and tri > 0 and quad > 0 +print(('PASS' if okp else 'FAIL') + ' Parity Lemma: %d pairwise non-orthogonal triples, none with label sum in {z_i}; %d pairwise non-orthogonal quadruples, none with label sum 0' % (tri, quad)); bad += not okp +# Parity (ii), form used in the Carrier Lemma: no four lines with label sum 0 has a line non-orthogonal to the other three +from collections import defaultdict +px = defaultdict(list) +for a in range(112): + for b in range(a + 1, 112): px[LAB[a] ^ LAB[b]].append((a, b)) +quads = set() +for x, prs in px.items(): + for (a, b), (c, d) in itertools.combinations(prs, 2): + if len({a, b, c, d}) == 4: quads.add(tuple(sorted((a, b, c, d)))) +badq = [q for q in quads if any(all(ip[v][u] != 0 for u in q if u != v) for v in q)] +okq = len(quads) > 0 and not badq +print(('PASS' if okq else 'FAIL') + ' Parity (ii) as used in the Carrier Lemma: %d quadruples of lines with label sum 0, none has a line non-orthogonal to the other three' % len(quads)); bad += not okq +# control: the statement is about non-orthogonality, not vacuous: triples (not pairwise non-orthogonal) with label sum z_i exist +ctl = sum(1 for a, b, c in itertools.combinations(range(112), 3) if LAB[a] ^ LAB[b] ^ LAB[c] in ZL) +print(('PASS' if ctl > 0 else 'FAIL') + ' control: %d triples of P112 lines have label sum in {z_i} (necessarily with an orthogonal pair)' % ctl); bad += not ctl > 0 +print('carrier3: %d failing' % bad); sys.exit(1 if bad else 0) diff --git a/research/one-sided-excess-three/checks/check_logs.py b/research/one-sided-excess-three/checks/check_logs.py new file mode 100644 index 0000000000..99b603b0a9 --- /dev/null +++ b/research/one-sided-excess-three/checks/check_logs.py @@ -0,0 +1,73 @@ +# Step 4 of verify.sh: turns every CHECKED assertion of the README into a PASS/FAIL line. usage: python check_logs.py LOGDIR +import ast, os, re, sys +L = sys.argv[1] +def rd(n): + p = os.path.join(L, n) + return open(p).read() if os.path.isfile(p) else '' +bad = 0 +def chk(name, cond, detail=''): + global bad + print(('PASS ' if cond else 'FAIL ') + name + ((' [' + detail + ']') if detail else '')) + bad += (not cond) +# 1. data regeneration +c = rd('gen_cmp.log') +chk('data80.txt, gens.txt (gen.py 80) and data3.txt (gen3.py) regenerated byte-identical to data/', all(('IDENTICAL ' + f) in c for f in ('data80.txt', 'gens.txt', 'data3.txt')) and 'DIFFERENT' not in c) +g = rd('gen80.out'); g3 = rd('gen3.out') +chk('gen.py: group on lines of order 172032, generators linear on labels', 'group order on lines 172032' in g and 'gens ok, linear on labels' in g) +chk('gen3.py: 120 / 1080 / 3360 finite directions, 1120 A2 planes, group order 172032, direction list invariant', 'dirs: roots 120 n4 1080 n6 3360' in g3 and 'A2 planes 1120' in g3 and 'group order on lines 172032 (expect 172032)' in g3 and 'invariant under generators: OK' in g3) +# 2. landscape +exp = {(7, 3): [[7, 7, 7, 6, 6, 6, 6, 6, 6, 1, 1], [7, 7, 7, 6, 6, 6, 6, 6, 6, 2]], + (8, 3): [[7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 1, 1, 1], [7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 3], [7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 1, 1], + [7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 1], [7, 7, 7, 7, 7, 7, 7, 7, 7, 4]]} +got = {}; rows = 0 +for l in rd('land3.out').splitlines(): + m = re.match(r"^d (\d) slack (\d) (\{.*?\}) (\[.*\])$", l) + if m: + rows += 1; d, k = int(m.group(1)), int(m.group(2)); t = ast.literal_eval(m.group(3)); lst = ast.literal_eval(m.group(4)) + assert t['SURV'] == len(lst) or len(lst) <= 8 + if t['SURV']: got[(d, k)] = [x[1] for x in lst] +chk('land3.py 3: 32 rows (d = 1..8, slack 0..3); no survivor at slack <= 2; slack 3 survivors exactly the 8 multisets of the README (2 at d = 7, 6 at d = 8)', rows == 32 and got == exp, 'rows %d, survivors %s' % (rows, sorted((k, len(v)) for k, v in got.items()))) +# 3. carrier3 +t = rd('carrier3.out') +chk('carrier3.py: all finite inputs of the Carrier / Parity Lemmas pass (7 PASS lines, 0 failing)', t.count('PASS ') == 7 and 'FAIL' not in t and 'carrier3: 0 failing' in t, '%d PASS' % t.count('PASS ')) +# 4. the kills, both implementations +def histA(names): + reps, hist, mr, md, ref, nref, ok = [], [0] * 9, 0, 0, 0, 0, True + for n in names: + o = rd(n + '.out'); e = rd(n + '.err') + m = re.search(r'^OVERALL \S+ V1dim (\d+) V2dim (\d+) s (\d+) lim (\d+): max real rank (\d+), max #directions (\d+); rank histogram \(nonempty pairs\):((?: \d:\d+)+)$', o, re.M) + if not m: ok = False; continue + reps += [int(x) for x in re.findall(r'^rep (\d+) lines', o, re.M)] + for k, v in re.findall(r' (\d):(\d+)', m.group(7)): hist[int(k)] += int(v) + mr = max(mr, int(m.group(5))); md = max(md, int(m.group(6))) + r = re.search(r'^REFINE max exact rank (\d+)$', o, re.M); ref = max(ref, int(r.group(1)) if r else 0) + nref += len(re.findall(r'^REFINE rep ', o, re.M)) + return dict(ok=ok, reps=reps, hist=hist, maxrank=mr, maxdirs=md, refine=ref, nref=nref) +def histB(names): + reps, hist, mr, md, ref, np8, ok = [], [0] * 9, 0, 0, 0, 0, True + for n in names: + o = rd(n + '.out') + m = re.search(r'^RESULT dims (\d+) (\d+) s (\d+) lim (\d+) chunk (\d+)/(\d+): nreps (\d+), max relaxed rank (\d+), max #dirs (\d+), #pairs rank>=8: (\d+), refine max exact rank (\d+); hist((?: \d:\d+)+)$', o, re.M) + if not m: ok = False; continue + reps += [int(x) for x in re.findall(r'^rep (\d+) lines', o, re.M)] + for k, v in re.findall(r' (\d):(\d+)', m.group(12)): hist[int(k)] += int(v) + mr = max(mr, int(m.group(8))); md = max(md, int(m.group(9))); np8 += int(m.group(10)); ref = max(ref, int(m.group(11))) + return dict(ok=ok, reps=reps, hist=hist, maxrank=mr, maxdirs=md, refine=ref, nref=np8) +H = lambda s: [0] + [int(x) for x in re.findall(r'\d:(\d+)', s)] +cases = [ # name, A jobs, B jobs, nreps, (max rank, max dirs), histogram, exact-refinement max, #refined pairs + ('E1a (6,6) s=2 lim78 [4 multisets, need < 8 / < 7]', ['A_662_c%d' % i for i in range(3)], ['B_662_c%d' % i for i in range(2)], 159, (4, 10), H('1:14024 2:15950 3:1108 4:65 5:0 6:0 7:0 8:0'), None, None), + ('E1b (6,6) s=4 lim80 relaxed + exact third flat over 161,420 [2 multisets, need < 8]', ['A_664_c%d' % i for i in range(24)], ['B_664_c%d' % i for i in range(4)], 159, (8, 32), H('1:319084 2:592591 3:24565 4:3405 5:543 6:144 7:36 8:6'), 4, 6), + ('E1c (7,4) s=0 lim80 [2 multisets, need < 8]', ['A_740'], ['B_740'], 51, (4, 12), None, None, None), + ('control (6,6) s=0 lim76 = S66: span 3, 6 directions', ['A_660'], ['B_660'], 159, (3, 6), None, None, None), + ('control (7,7) s=0 lim76: rank 8 on 152 pairs (not vacuous)', ['A_ctl77'], ['B_ctl77'], 51, (8, 80), None, None, None)] +for name, an, bn, nrep, (mr, md), hist, ref, nref in cases: + A, B = histA(an), histB(bn) + cover = lambda r: sorted(r) == list(range(nrep)) + chk('%s: implementation A (s6x): all %d orbit reps covered once, max real rank %d' % (name, nrep, mr), A['ok'] and cover(A['reps']) and A['maxrank'] == mr and A['maxdirs'] == md, 'rank %s dirs %s' % (A['maxrank'], A['maxdirs'])) + chk('%s: implementation B (k3): all %d orbit reps covered once, max real rank %d' % (name, nrep, mr), B['ok'] and cover(B['reps']) and B['maxrank'] == mr and B['maxdirs'] == md, 'rank %s dirs %s' % (B['maxrank'], B['maxdirs'])) + chk('%s: A and B give the identical merged rank histogram%s' % (name, (' ' + str(hist[1:])) if hist else ''), A['ok'] and B['ok'] and A['hist'] == B['hist'] and (hist is None or A['hist'] == hist), str(A['hist'][1:])) + if ref is not None: + chk('%s: exact refinement: %d pairs with relaxed rank 8 refined, max exact rank %d (A and B)' % (name, nref, ref), A['refine'] == ref and B['refine'] == ref and A['nref'] == nref and B['nref'] == nref, 'A %s/%s B %s/%s' % (A['refine'], A['nref'], B['refine'], B['nref'])) +chk('control (7,7): both implementations find exactly 152 pairs of rank 8', histA(['A_ctl77'])['hist'][8] == 152 and histB(['B_ctl77'])['nref'] == 152) +chk('control (6,6) s=0: 0 pairs of rank 8 (A and B)', histA(['A_660'])['hist'][8] == 0 and histB(['B_660'])['nref'] == 0) +print('check_logs: %d failing' % bad); sys.exit(1 if bad else 0) diff --git a/research/one-sided-excess-three/checks/dpX.py b/research/one-sided-excess-three/checks/dpX.py new file mode 100644 index 0000000000..725cd30847 --- /dev/null +++ b/research/one-sided-excess-three/checks/dpX.py @@ -0,0 +1,48 @@ +# X_I = P112 ∪ {f_i : i∈I}: need eps-free cost(X_I) >= 64+|I|. Peel at 7: cost >= cost(T7) + 8(8-d). +# DP constraints (dp3 P112, all transfer to X_I since every X_I target contains the P112 target; NL=112+|I|): +# then symmetric LP (NL lines, E8 N_u, g) on survivors. +import sys +from symlp import lp +from collections import Counter +g={1:1,2:2,3:4,4:8,5:12,6:20,7:36}; G={1:1,2:2,3:4,4:8,5:12,6:20,7:32} +N={0:0,1:1,2:3,3:6,4:12,5:20,6:36} +def k1(ws): + W=sum(ws); sG=sum(G[w] for w in ws); sg=sum(g[w] for w in ws) + nf= W>=14 and sG>=56 + nr= W>=15 and sG>=53 and len(ws)>=3 and not (len(ws)==3 and max(ws)<=6) + no= W>=14 and sg>=70 + return nf or nr or no +def ok(ws,d,NL): + a=len(ws) + if a=2 and a=target: return + if i==len(Ws): + ws=sorted([w for w in Ws for _ in range(cnt[w])],reverse=True) + if ok(ws,d,NL): out.append((wt,ws)) + return + w=Ws[i] + for c in range(0,(target-wt)//w+1): + cnt[w]=c; rec(i+1,cnt,wt+c*w) + cnt[w]=0 + rec(0,{w:0 for w in Ws},0); return out +NE8=[0,1,3,6,12,20,36,63] +for I in [int(x) for x in sys.argv[1].split(',')]: + NL=112+I + for d in range(1,9): + surv=enum(d,8*d+I,NL) + need=NL-NE8[8-d] if d<8 else NL + bad=[] + for wt,ws in surv: + val,bd=lp(Counter(ws),codim=8-d,NL=NL) + if bd>=need: bad.append((wt,ws,round(val,2))) + print(f'I={I} d={d} DP-survivors={len(surv)} LP-survivors={len(bad)}',bad[:6],flush=True) diff --git a/research/one-sided-excess-three/checks/gen.py b/research/one-sided-excess-three/checks/gen.py new file mode 100644 index 0000000000..bded3a9249 --- /dev/null +++ b/research/one-sided-excess-three/checks/gen.py @@ -0,0 +1,145 @@ +# Regenerates data.txt (labels, frame labels, 112 line coordinates, direction list |Off|<=77) and gens.txt (orbit generators). +# Independent data generation (own coordinates, own labels, own direction list, own group/orbits). +# Coordinates doubled (integers). E8 = D8 ∪ D8+(1/2)^8, roots norm 2 -> doubled norm 8. +import itertools, numpy as np, sys, random +from fractions import Fraction +OUT='' # write into the current directory +LIM=int(sys.argv[1]) if len(sys.argv)>1 else 77 +DATA='data.txt' if LIM==77 else 'data%d.txt'%LIM +roots=[] +for i,j in itertools.combinations(range(8),2): + for si in (2,-2): + for sj in (2,-2): + v=[0]*8; v[i]=si; v[j]=sj; roots.append(tuple(v)) +for s in itertools.product((1,-1),repeat=8): + if s.count(-1)%2==0: roots.append(tuple(s)) +assert len(roots)==240 +def dot(a,b): return sum(x*y for x,y in zip(a,b))//4 # true inner product (doubled coords) +lines=sorted({max(r,tuple(-x for x in r)) for r in roots}); assert len(lines)==120 +frame=[] +for k in range(4): + a=[0]*8; a[2*k]=2; a[2*k+1]=2; frame.append(tuple(a)) + b=[0]*8; b[2*k]=2; b[2*k+1]=-2; frame.append(tuple(b)) +frame=[max(f,tuple(-x for x in f)) for f in frame] +for f,g in itertools.combinations(frame,2): assert dot(f,g)==0 +P=[l for l in lines if l not in frame]; assert len(P)==112 +# labels: coordinates of r in a Z-basis of E8, mod 2; basis = simple roots (Bourbaki, doubled) +simple=[(1,-1,-1,-1,-1,-1,-1,1),(2,2,0,0,0,0,0,0),(-2,2,0,0,0,0,0,0),(0,-2,2,0,0,0,0,0),(0,0,-2,2,0,0,0,0),(0,0,0,-2,2,0,0,0),(0,0,0,0,-2,2,0,0),(0,0,0,0,0,-2,2,0)] +M=np.array(simple,dtype=float).T +assert abs(abs(np.linalg.det(np.array([[dot(a,b) for b in simple] for a in simple],dtype=float)))-1)<1e-9 +def lab(r): + n=np.linalg.solve(M,np.array(r,dtype=float)); ni=np.rint(n).astype(int); assert np.allclose(n,ni) + x=1 + for k in range(8): x|=(int(ni[k])&1)<<(k+1) + return x +LAB=[lab(r) for r in P]; assert len(set(LAB))==112 +ZL=[lab(f) for f in frame] +# F2 rank of all labels =9 +def f2rank(vs): + bs=[] + for x in vs: + for b in bs: x=min(x,x^b) + if x: bs.append(x) + return len(bs) +assert f2rank(LAB)==9 +# directions: E8 vectors of norm <= 8 (doubled norm <=32), primitive up to sign +vecs=set() +rng2=range(-6,7,2); rng1=range(-5,6,2) +for v in itertools.product(rng2,repeat=8): + if 0 doubled coords even, sum(v)/2 even. half: v odd, sum(v/2) even. +def prim(v): + from math import gcd + g=0 + for x in v: g=gcd(g,abs(x)) + v=tuple(x//g for x in v) + return max(v,tuple(-x for x in v)) +dirs={} +for v in vecs: + p=prim(v); dirs.setdefault(p,v) +def off(h): return [t for t,r in enumerate(P) if sum(a*b for a,b in zip(r,h))!=0] +fin=[] +from collections import Counter +C=Counter() +for p,v in dirs.items(): + o=off(p) + if len(o)<=LIM: + nE8=sum(1 for l in lines if sum(a*b for a,b in zip(l,p))==0) + C[(sum(x*x for x in v)//4,nE8,len(o))]+=1; fin.append((p,o)) +print('finite directions |Off|<=77 by (norm,E8 lines perp,|Off|):',sorted(C.items())) +# pencils: A2 planes span(a,b), a.b=-1 ; generic Off = lines not perp to both +pen={} +for a,b in itertools.combinations(lines,2): + if abs(dot(a,b))==1: + perp=frozenset(t for t,r in enumerate(P) if dot(r,a)==0 and dot(r,b)==0) + key=frozenset(l for l in lines if dot(l,a)==0 and dot(l,b)==0) + pen.setdefault(key,(a,b,perp)) +pens=[] +CP=Counter() +for key,(a,b,perp) in pen.items(): + o=[t for t in range(112) if t not in perp] + CP[(len(key),len(o))]+=1 + if len(o)<=LIM: pens.append((a,b,o)) +print('A2 planes (E8 lines perp, generic |Off|):',sorted(CP.items())) +with open(OUT+DATA,'w') as f: + f.write(' '.join(map(str,LAB))+'\n') + f.write(' '.join(map(str,ZL))+'\n') + for r in P: f.write(' '.join(map(str,r))+'\n') + f.write('%d\n'%(len(fin)+len(pens))) + for p,o in fin: f.write('1 '+' '.join(map(str,p))+' : '+' '.join(map(str,o))+'\n') + for a,b,o in pens: f.write('2 '+' '.join(map(str,a))+' '+' '.join(map(str,b))+' : '+' '.join(map(str,o))+'\n') +print('wrote',len(fin),'finite',len(pens),'pencils') +# group: sign flips (reflections in frame roots) and coordinate-permutations of frame preserving supports +def refl(f): + return lambda r: tuple(x - (2*sum(a*b for a,b in zip(r,f))//sum(y*y for y in f))*y for x,y in zip(r,f)) +idx={r:t for t,r in enumerate(P)} +def lineperm(g): + out=[] + for r in P: + s=g(r); s=max(s,tuple(-x for x in s)); out.append(idx[s]) + return out +gens=[lineperm(refl(f)) for f in frame] +# permutation part: c-coordinates c_j = r.f_j ; map c -> c∘pi^{-1}; r = sum c_j f_j /2 +Fm=np.array(frame,dtype=float) +def cvec(r): return [dot(r,f) for f in frame] +supps={frozenset(j for j,c in enumerate(cvec(r)) if c) for r in P} +assert len(supps)==14 and all(len(s)==4 for s in supps) +auts=[pi for pi in itertools.permutations(range(8)) if all(frozenset(pi[j] for j in s) in supps for s in supps)] +print('Aut(Hamming) order',len(auts)) +random.seed(1) +def mk(pi): + def g(r): + c=cvec(r); c2=[0]*8 + for j in range(8): c2[pi[j]]=c[j] + v=sum(c2[j]*Fm[j] for j in range(8))/2 + vi=tuple(int(round(x)) for x in v); return vi + return g +for _ in range(4): gens.append(lineperm(mk(random.choice(auts)))) +# check group size generated on lines +import collections +def gsize(gens,limit=10**6): + I=tuple(range(112)); seen={I}; st=[I] + while st: + x=st.pop() + for g in gens: + y=tuple(g[i] for i in x) + if y not in seen: + seen.add(y); st.append(y) + if len(seen)>limit: return -1 + return len(seen) +print('group order on lines',gsize(gens)) +# label linearity of each generator: map must be induced by a linear map of F2^9 +for g in gens: + # solve linear map from a basis of labels + bs=[];imgs=[] + for t in range(112): + x=LAB[t]; y=LAB[g[t]]; xx=x; yy=y + for b,ib in zip(bs,imgs): + if (xx^b) only used to derive the frame-stabiliser, directions/pencils from scratch. +import itertools, numpy as np, random, sys +from math import gcd +random.seed(12345) +# E8 roots scaled by 2 +R=[] +for i,j in itertools.combinations(range(8),2): + for si in (2,-2): + for sj in (2,-2): + v=[0]*8; v[i]=si; v[j]=sj; R.append(tuple(v)) +for s in itertools.product((1,-1),repeat=8): + if s.count(-1)%2==0: R.append(tuple(s)) +R=np.array(R,dtype=np.int64); assert len(R)==240 +ip=lambda a,b: int(np.dot(a,b))//4 # true inner product +G=(R@R.T)//4 +assert set(np.unique(G))=={-2,-1,0,1,2} +def key(v): return tuple(int(x) for x in v) +# frame +F=[] +for k in range(4): + for sg in (1,-1): + v=[0]*8; v[2*k]=2; v[2*k+1]=2*sg; F.append(np.array(v)) +F=np.array(F); assert all(ip(F[a],F[b])==(2 if a==b else 0) for a in range(8) for b in range(8)) +Fk={key(f) for f in F}|{key(-f) for f in F} +lines=[]; seen=set() +for r in R: + if key(r) in Fk: continue + if key(-r) in seen: continue + seen.add(key(r)); lines.append(r) +lines=np.array(lines); assert len(lines)==112 +LI={key(r):i for i,r in enumerate(lines)} +for i,r in enumerate(lines): LI[key(-r)]=i +# labels via Z-basis coordinates +while True: + idx=random.sample(range(240),8); B=R[idx] + if abs(round(np.linalg.det(B.astype(float))))==256: break +Binv=np.linalg.inv(B.astype(float)) +LAB=[] +for r in lines: + x=r.astype(float)@Binv; xi=np.rint(x).astype(int); assert np.abs(x-xi).max()<1e-6 + lab=1 + for k in range(8): lab|=(int(xi[k])&1)<<(k+1) + LAB.append(lab) +assert len(set(LAB))==112 +# directions: roots (up to sign), n4, n6 from orthogonal sums +canon=lambda v: max(key(v),key(-np.array(v))) +dirs={} +for r in R: dirs[canon(r)]=1 +nr=len(dirs) +orth=[[j for j in range(240) if G[i,j]==0] for i in range(240)] +n4=set(); n6=set() +for i in range(240): + for j in orth[i]: + if j>i: n4.add(canon(R[i]+R[j])) + for k in orth[i]: + if k>j>i and G[j,k]==0: n6.add(canon(R[i]+R[j]+R[k])) +# sums of 2 orth roots give norm 4 only; 3 orth give norm 6 only (check) +nn=lambda v: int(np.dot(v,v))//4 +assert all(nn(np.array(v))==4 for v in n4) and all(nn(np.array(v))==6 for v in n6) +print('dirs: roots',nr,'n4',len(n4),'n6',len(n6),'(expect 120 1080 3360)'); assert (nr,len(n4),len(n6))==(120,1080,3360) +allv=[np.array(v) for v in dirs]+[np.array(v) for v in n4]+[np.array(v) for v in n6] +M=lines@np.array(allv).T # 112 x nd +offc=(M!=0).sum(axis=0) +LIM=80 +out=[] +for d,v in enumerate(allv): + if offc[d]<=LIM: + m=0 + for t in np.nonzero(M[:,d])[0]: m|=1< +Cset={tuple(c) for c in C}|{tuple(-c) for c in C} +supports={frozenset(np.nonzero(c)[0]) for c in C if np.count_nonzero(c)==4} +perms=[] +for pi in itertools.permutations(range(8)): + ok=all(frozenset(pi[j] for j in s) in supports for s in supports) + if ok: perms.append(pi) +print('support-preserving perms',len(perms),'(expect 1344)') +Cidx={tuple(c):i for i,c in enumerate(C)} +for i,c in enumerate(C): Cidx[tuple(-c)]=i +def act(sign,pi): + res=[] + for c in C: + c2=[0]*8 + for j in range(8): c2[pi[j]]=int(c[j])*sign[j] + res.append(Cidx[tuple(c2)]) + return res +ident=tuple(range(8)) +gens=[] +for j in range(8): + sg=[1]*8; sg[j]=-1; gens.append(act(sg,ident)) +for pi in random.sample(perms,6): gens.append(act([1]*8,pi)) +# closure to verify group order +gt=[tuple(g) for g in gens]; seenp={tuple(range(112))}; fr=[tuple(range(112))] +while fr: + nf=[] + for p in fr: + for g in gt: + q=tuple(g[x] for x in p) # compose + if q not in seenp: seenp.add(q); nf.append(q) + fr=nf +print('group order on lines',len(seenp),'(expect 172032)') +# invariance: each generator must permute direction Off sets among the list +offsets={o[3] for o in out} +def mapm(m,g): + r=0 + for t in range(112): + if m>>t&1: r|=1<>64,c)) +print('wrote data3.txt',len(out)) diff --git a/research/one-sided-excess-three/checks/k3.c b/research/one-sided-excess-three/checks/k3.c new file mode 100644 index 0000000000..b8088e9006 --- /dev/null +++ b/research/one-sided-excess-three/checks/k3.c @@ -0,0 +1,87 @@ +// SIX3IND kernel (independent of SIX/s6x.c). usage: k3 data3.txt A B s lim chunk nchunk [refine3] +// Pairs (V1,V2) of label flats of dims A,B (V1 up to frame-stabiliser orbit, V2 all). X = L(V1) u L(V2). +// h qualifies iff exists 7-flat G with |(Off(h)\X)\G| <= s (s=0: exact rank<=7; s>0: relaxed 'remove <=s lines per h'). +// Test via dual vectors: K={w1,w2,w1^w2} kills a set R of labels iff R in Z[w1]&Z[w2]; need |R&Z[w1]&Z[w2]|>=|R|-s. +// Flats enumerated as duals W (greedy-min basis canonical), L(V)=AND of Z[w], w in W. refine3: exact third 3-flat for relaxed rank>=8. +#include +#include +#include +typedef unsigned __int128 u128; typedef __int128 i128; typedef unsigned long long u64; +static int LAB[112]; static u128 Z[512]; +static int NGEN; static int GEN[32][112]; +#define MAXD 6000 +static int ND; static int kind[MAXD]; static long long V1v[MAXD][8], V2v[MAXD][8]; static u128 OFF[MAXD]; static int cap[MAXD]; +static inline int pc(u128 x){ return __builtin_popcountll((u64)x)+__builtin_popcountll((u64)(x>>64)); } +// ---- flats +static u128 *OUT; static long long NOUT, CAPOUT; +static void rec(int d,int k,int *span,int nspan,int last,u128 m){ + if(d==k){ if(m){ if(NOUT>=CAPOUT){ CAPOUT*=2; OUT=realloc(OUT,CAPOUT*sizeof(u128)); } OUT[NOUT++]=m; } return; } + for(int x=last+1;x<512;x++){ + int bad=0; for(int i=1;i yy); } +static u128 *flats(int dim,long long *n){ int k=9-dim; CAPOUT=1<<20; OUT=malloc(CAPOUT*sizeof(u128)); NOUT=0; int sp[1]={0}; u128 all=0; for(int t=0;t<112;t++) all|=((u128)1)<=need) cand[nc++]=w; + for(int a=0;a=need) return 1; } + return 0; } +// ---- exact rational rank (integer elimination, gcd-normalised, int128) +static i128 gabs(i128 a){ return a<0?-a:a; } +static i128 gg(i128 a,i128 b){ a=gabs(a); b=gabs(b); while(b){ i128 t=a%b; a=b; b=t; } return a; } +static int rankQ(int *lst,int n){ i128 Bm[8][8]; int piv[8]; int r=0; + for(int q=0;q<2*n && r<8;q++){ int h=lst[q/2]; if(q&1){ if(kind[h]!=2) continue; } + i128 v[8]; for(int k=0;k<8;k++) v[k]= (q&1)? V2v[h][k]:V1v[h][k]; + for(int j=0;j1) for(int k=0;k<8;k++) v[k]/=g; } + int p=-1; for(int k=0;k<8;k++) if(v[k]){ p=k; break; } if(p<0) continue; + for(int k=0;k<8;k++) Bm[r][k]=v[k]; piv[r]=p; r++; } + return r; } +// ---- mapping masks by generators +static u128 TB[32][14][256]; +static void mktab(){ for(int g=0;g>b)&1 && by*8+b<112) o|=((u128)1)<>(8*by))&255)]; return o; } +static long long fidx(u128 *A,long long n,u128 m){ long long lo=0,hi=n-1; while(lo<=hi){ long long mid=(lo+hi)/2; if(A[mid]==m) return mid; if(A[mid]8?atoi(argv[8]):0; + for(int i=0;i<112;i++) fscanf(f,"%d",&LAB[i]); + fscanf(f,"%d",&NGEN); for(int g=0;glim) continue; kind[ND]=kd; for(int k=0;k<8;k++){ V1v[ND][k]=a[k]; V2v[ND][k]=b[k]; } OFF[ND]=((u128)hi<<64)|lo; if(pc(OFF[ND])!=c){ fprintf(stderr,"off count mismatch\n"); return 1; } ND++; } + fclose(f); + for(int w=0;w<512;w++){ Z[w]=0; for(int t=0;t<112;t++) if(!(__builtin_popcount(w&LAB[t])&1)) Z[w]|=((u128)1)<b) b=c; } cap[h]=b; } + long long na,nb; u128 *FA=flats(A,&na); u128 *FAc=malloc(na*sizeof(u128)); memcpy(FAc,FA,na*sizeof(u128)); free(OUT); + u128 *FB; if(B==A){ FB=FAc; nb=na; } else { FB=flats(B,&nb); } + int gwB=0; for(long long j=0;jgwB) gwB=c; } + u128 *V3=NULL; long long n3=0; if(refine){ u128 *t=flats(3,&n3); V3=malloc(n3*sizeof(u128)); memcpy(V3,t,n3*sizeof(u128)); } + fprintf(stderr,"ND %d 7flats %lld flatsA %lld flatsB %lld gwB %d V3 %lld\n",ND,n7,na,nb,gwB,n3); + // orbits of V1 + uf=malloc(na*sizeof(int)); for(long long i=0;icap[act[a]]+s) continue; if(qual(r,s)) lst[n++]=act[a]; } + if(n>maxn) maxn=n; + if(n){ int rk=rankQ(lst,n); hist[rk]++; if(rk>vmax) vmax=rk; + if(rk>=8){ npairs8++; printf("RANK%d rep %d j %lld n %d\n",rk,ri,j,n); + if(refine){ int e=0; int bestq=-1; for(long long q=0;qcap[h]) continue; if(qual(r,0)) l2[m++]=h; } if(m){ int r2=rankQ(l2,m); if(r2>e){ e=r2; bestq=q; } } } + printf(" REFINE exact-with-3flat max rank %d (V3 idx %d)\n",e,bestq); if(e>refmax) refmax=e; } } } + } + if(vmax>overall) overall=vmax; printf("rep %d lines %d orbit %d active %d maxrank %d\n",ri,pc(X1),osz[reps[ri]],nact,vmax); fflush(stdout); + } + printf("RESULT dims %d %d s %d lim %d chunk %d/%d: nreps %d, max relaxed rank %d, max #dirs %d, #pairs rank>=8: %lld, refine max exact rank %d; hist",A,B,s,lim,ch,nch,nrep,overall,maxn,npairs8,refmax); + for(int r=1;r<=8;r++) printf(" %d:%lld",r,hist[r]); printf("\n"); + return 0; } diff --git a/research/one-sided-excess-three/checks/land3.py b/research/one-sided-excess-three/checks/land3.py new file mode 100644 index 0000000000..788079a09f --- /dev/null +++ b/research/one-sided-excess-three/checks/land3.py @@ -0,0 +1,45 @@ +# slack-k landscape (usage: python land3.py K) (P112, eps-free T-level): DP (dpX ok, NL=112) -> symmetric LP -> Basis-kill (S66+t) -> Pencil -> e=2 triple rule +import sys, itertools +import os +HERE=os.path.dirname(os.path.abspath(__file__)); sys.path.insert(0,HERE) +src=open(os.path.join(HERE,'dpX.py')).read().split("NE8=[0,1,3,6,12,20,36,63]")[0] +exec(src) +from symlp import lp +from math import comb +NE8=[0,1,3,6,12,20,36,63] +gg={1:1,2:2,3:4,4:8,5:12,6:20,7:36} +K=int(sys.argv[1]) +def packable(sub): + # sub: e weights; two bins of capacity 6 (span of union <= sum of dims) plus at most one extra 1-piece + sub=list(sub) + opts=[sub] + if 1 in sub: + s2=list(sub); s2.remove(1); opts.append(s2) + for s in opts: + n=len(s) + for mask in range(1<>i&1); b=sum(s)-a + if a<=6 and b<=6: return True + return False +def basis_kill(ws,d,e): + if d<4: return False + for sub in set(itertools.combinations(sorted(ws),e)): + if packable(sub): return True + return False +for d in range(1,9): + surv=enum(d,8*d+K+1,112); need=112-(NE8[8-d] if d<8 else 0) + from collections import Counter as Cn + tally=Cn(); left=[] + for wt,ws in surv: + k=wt-8*d + if k<0: continue + val,bd=lp(Counter(ws),codim=8-d,NL=112) + if bd=3 and e>=2 and sum(gg[w] for w in anchors)<=4: tally[(k,'PENCIL')]+=1; continue + if e==2 and comb(sum(1 for w in ws if w<=6),3)>8: tally[(k,'E2TRIPLE')]+=1; continue + tally[(k,'SURV')]+=1; left.append((k,ws,e)) + for k in range(K+1): + print('d',d,'slack',k,{t:tally[(k,t)] for t in ('LP','BASIS','PENCIL','E2TRIPLE','SURV')},[x for x in left if x[0]==k][:8],flush=True) diff --git a/research/one-sided-excess-three/checks/manifest_check.py b/research/one-sided-excess-three/checks/manifest_check.py new file mode 100644 index 0000000000..0c39981713 --- /dev/null +++ b/research/one-sided-excess-three/checks/manifest_check.py @@ -0,0 +1,12 @@ +# Step 0 of verify.sh: every line of MANIFEST.sha256 (" ") must match the file; the manifest must list every file of the package except itself. +import hashlib, os, sys +root = os.path.dirname(os.path.dirname(os.path.abspath(__file__))) +listed = {} +for l in open(os.path.join(root, 'MANIFEST.sha256')): + h, p = l.rstrip('\n').split(' ', 1); listed[p] = h +bad = [p for p, h in listed.items() if not os.path.isfile(os.path.join(root, p)) or hashlib.sha256(open(os.path.join(root, p), 'rb').read()).hexdigest() != h] +allf = {os.path.relpath(os.path.join(d, f), root) for d, _, fs in os.walk(root) for f in fs if '__pycache__' not in d and f != 'MANIFEST.sha256' and not f.endswith('.pyc')} +extra = sorted(allf - set(listed)) +print(('FAIL' if bad else 'PASS') + ' manifest: %d files hash-checked, %d mismatching %s' % (len(listed), len(bad), bad[:3])) +print(('FAIL' if extra else 'PASS') + ' manifest lists every package file (%d unlisted %s)' % (len(extra), extra[:3])) +sys.exit(1 if bad or extra else 0) diff --git a/research/one-sided-excess-three/checks/s6x.c b/research/one-sided-excess-three/checks/s6x.c new file mode 100644 index 0000000000..62a702148a --- /dev/null +++ b/research/one-sided-excess-three/checks/s6x.c @@ -0,0 +1,101 @@ +// SIX: Lemma S66 (exact). For every 6-dim label subspace V1 (orbit reps) and V2 (all), X = Λ(V1) ∪ Λ(V2) [∪ {t} in mode T]: +// H = {directions h : rank_F2 lab(Off(h) \ X) <= 7} [mode T: some single line t removed additionally, per h (superset)]. +// Report max real rank of span H. Directions: data.txt (|Off|<=77 complete list); mode 0 uses |Off|<=76. +#include +#include +#include +typedef unsigned __int128 u128; typedef __int128 i128; +int LAB[112]; int PC[112][8]; int ND; int hv[7000][8]; int hv2[7000][8]; int htyp[7000]; int hoff_n[7000]; u128 OFF[7000]; int cap[7000]; +int nd_use; +static inline int pc(u128 x){ return __builtin_popcountll((unsigned long long)x)+__builtin_popcountll((unsigned long long)(x>>64)); } +int f2rank_mask(u128 R){ int B[9]={0}; int r=0; for(int t=0;t<112;t++) if((R>>t)&1){ int x=LAB[t]; for(int k=8;k>=0;k--){ if(!((x>>k)&1)) continue; if(B[k]) x^=B[k]; else { B[k]=x; r++; break; } } } return r; } +// mode T: exists t in R with rank(R\t) <= 7 +int rank_minus_one_le7(u128 R){ int r=f2rank_mask(R); if(r<=7) return 1; if(r>8) return 0; for(int t=0;t<112;t++) if((R>>t)&1){ if(f2rank_mask(R&~(((u128)1)<1) for(int k=0;k<8;k++) v[k]/=g; } + int p=-1; for(int k=0;k<8;k++) if(v[k]){p=k;break;} if(p<0) continue; // also need to clear p in earlier rows? not needed for rank (echelon by distinct pivots) + // ensure pivots distinct: v reduced against all earlier pivots, so its first nonzero may still coincide with no earlier pivot? reduce until first nonzero not a pivot + int again=1; while(again){ again=0; for(int j=0;j1) for(int k=0;k<8;k++) v[k]/=g; again=1; } } } + p=-1; for(int k=0;k<8;k++) if(v[k]){p=k;break;} if(p<0) continue; + for(int k=0;k<8;k++) Bm[r][k]=v[k]; piv[r]=p; r++; if(r==8) return 8; } + return r; } +// subspaces +u128 *SUB; int NS=0; +int cmp128(const void*a,const void*b){ u128 x=*(u128*)a,y=*(u128*)b; return xy; } +int par(int x){ return __builtin_popcount(x)&1; } +int gens[16][112]; int NG=0; +u128 mapmask(u128 m,int g){ u128 o=0; for(int t=0;t<112;t++) if((m>>t)&1) o|=((u128)1)<cap[h]+s) return 0; int rk=f2rank_mask(r); if(rk<=7) return 1; if(s==0) return 0; + if(rk==8){ // coordinates in a basis of span(R); hyperplanes of span = nonzero functionals on F2^8 + int B[9]={0}; int bv[8]; int nb=0; int lst[112]; int nl=0; for(int t=0;t<112;t++) if((r>>t)&1){ lst[nl++]=t; } + // build basis with coordinate tracking + int piv[9]; int coordB[9]={0}; + for(int q=0;q=0;k2--){ if(!((x>>k2)&1)) continue; if(B[k2]){ x^=B[k2]; cx^=coordB[k2]; } else { B[k2]=x; coordB[k2]=cx^(1<=0;k2--){ if(!((x>>k2)&1)) continue; x^=B[k2]; cx^=coordB[k2]; } co[q]=cx; } + for(int phi=1;phi<256;phi++){ int bad=0; for(int q=0;qs) break; } if(bad<=s) return 1; } + return 0; } + int need=c-s; if(need>=THR){ int *L=GL[h]; for(int q=0;qcap[h]) continue; if(f2rank_mask(r)<=7) list[n++]=h; } + if(n){ int rk=realrank(list,n); if(rk>best) best=rk; } } + return best; } +int main(int argc,char**argv){ + const char*df=argv[1]; int adim=atoi(argv[2]), bdim=atoi(argv[3]), s=atoi(argv[4]), lim=atoi(argv[5]); + int gw[10]={0,1,2,4,8,12,20,36,64,112}; + FILE*f=fopen(df,"r"); for(int i=0;i<112;i++) fscanf(f,"%d",&LAB[i]); int z; for(int i=0;i<8;i++) fscanf(f,"%d",&z); + for(int i=0;i<112;i++) for(int k2=0;k2<8;k2++) fscanf(f,"%d",&PC[i][k2]); + int nn; fscanf(f,"%d",&nn); ND=0; + for(int i=0;ib) b=c; } cap[h]=b; + int tot=0; for(int c=THR;c<=112;c++) tot+=cnt[c]; GL[h]=malloc(sizeof(int)*(tot+1)); GC[h]=malloc(tot+1); GLn[h]=tot; + int pos[113]; int p=0; for(int c=112;c>=THR;c--){ pos[c]=p; p+=cnt[c]; } + for(int g=0;g=THR){ GL[h][pos[c]]=g; GC[h][pos[c]]=c; pos[c]++; } } } + int na_,nb_; u128 *A=enumsub(adim,&na_); u128 *Bs=enumsub(bdim,&nb_); SUB=A; NS=na_; + fprintf(stderr,"V1 line sets %d, V2 line sets %d\n",na_,nb_); + uf=malloc(sizeof(int)*NS); for(int i=0;i6){ char*p=argv[6]; while(*p){ only[nonly++]=strtol(p,&p,10); if(*p==',') p++; } } + if(argc>7){ RT=atoi(argv[7]); int c3; V3=enumsub(3,&c3); n3=c3; fprintf(stderr,"V3 line sets %d\n",n3); } + int overall=0; int maxcnt=0; long long hist[9]={0}; + int *act=malloc(sizeof(int)*ND); u128 *R1=malloc(sizeof(u128)*ND); + for(int ri=0;rimaxcnt) maxcnt=n; + if(n){ int rk=realrank(list,n); hist[rk]++; if(rk>vmax) vmax=rk; if(rk>=RT){ int e=refine(X1,X2,list,n); if(e>refmax) refmax=e; printf("REFINE rep %d j %d relaxed %d exact-with-3flat %d\n",ri,j,rk,e); fflush(stdout); } + if(rk>=7 && hist[rk]<=10){ printf("RANK%d rep %d j %d n %d :",rk,ri,j,n); for(int q=0;qoverall) overall=vmax; + printf("rep %d lines %d orbit %d active %d maxrank %d nfull %lld\n",ri,pc(X1),osz[reps[ri]],na,vmax,nfull); fflush(stdout); + } + printf("REFINE max exact rank %d\n",refmax); + printf("OVERALL %s V1dim %d V2dim %d s %d lim %d: max real rank %d, max #directions %d; rank histogram (nonempty pairs):",df,adim,bdim,s,lim,overall,maxcnt); + for(int r=1;r<=8;r++) printf(" %d:%lld",r,hist[r]); printf("\n"); +} diff --git a/research/one-sided-excess-three/checks/symlp.py b/research/one-sided-excess-three/checks/symlp.py new file mode 100644 index 0000000000..bc2fdce13a --- /dev/null +++ b/research/one-sided-excess-three/checks/symlp.py @@ -0,0 +1,55 @@ +# Independent symmetric LP (OS-CHARGE2). For a multiset of piece weights (counts n_w), max #lines coverable: +# vars x_s (per-subset value, s = type vector), constraints: +# (a) for each nonzero type u: sum_{0=1} C(n_w-1,s_w-1) prod_{w'!=w} C(n_w',s_w') x_s <= g(w) +# objective sum_s prod C(n_w,s_w) x_s. Symmetrisation is exact (LP invariant under prod Sym(n_w)). +# Returns LP value and an EXACT rational upper bound from a repaired dual certificate. +import itertools, numpy as np +from math import comb, prod +from fractions import Fraction +from scipy.optimize import linprog +import scipy.sparse as sp +g={1:1,2:2,3:4,4:8,5:12,6:20,7:36,8:64} +NE8=[0,1,3,6,12,20,36,63,120] +def Nq(u,codim,NL): + k=u+codim + return NL if k>=8 else min(NE8[k],NL) +def lp(counts,codim=0,NL=112,exact=True): + ws=[w for w in sorted(counts) if counts[w]>0]; n=[counts[w] for w in ws] + types=[t for t in itertools.product(*[range(c+1) for c in n]) if any(t)] + idx={t:i for i,t in enumerate(types)} + obj=np.array([prod(comb(n[i],t[i]) for i in range(len(n))) for t in types],float) + rows=[];cols=[];vals=[];b=[];R=0 + subs={} + for u in types: + su=sum(u) + for s in itertools.product(*[range(x+1) for x in u]): + if not any(s): continue + rows.append(R);cols.append(idx[s]);vals.append(prod(comb(u[i],s[i]) for i in range(len(n)))) + b.append(Nq(su,codim,NL)); R+=1 + for i,w in enumerate(ws): + for s in types: + if s[i]>=1: + rows.append(R);cols.append(idx[s]);vals.append(comb(n[i]-1,s[i]-1)*prod(comb(n[k],s[k]) for k in range(len(n)) if k!=i)) + b.append(g[w]); R+=1 + A=sp.csr_matrix((vals,(rows,cols)),shape=(R,len(types))) + res=linprog(-obj,A_ub=A,b_ub=b,bounds=(0,None),method='highs') + val=-res.fun + if not exact: return val,None + y=np.maximum(-res.ineqlin.marginals,0) + yq=[Fraction(int(np.ceil(x*1e7)),10**7) for x in y] + # exact column check, repair with the full-type constraint (row index of types[-1] = all n, coef = obj) + Acoo=A.tocoo(); colsum=[Fraction(0)]*len(types) + for r,c,vv in zip(Acoo.row,Acoo.col,Acoo.data): colsum[c]+=yq[r]*int(round(vv)) + full=idx[tuple(n)] + tfix=max([Fraction(0)]+[(int(obj[c])-colsum[c])/int(obj[c]) for c in range(len(types))]) + yq[full]+=tfix + bound=sum(yq[r]*b[r] for r in range(R)) + return val,bound +if __name__=='__main__': + from collections import Counter + for p in [[7]+[6]*9,[7]+[6]*9+[1],[7,7]+[6]*8,[7]+[6]*9+[1,1],[7]+[6]*9+[2],[7,7]+[6]*8+[1],[7,7,7]+[6]*7]: + print(p,lp(Counter(p))) + print('d7',lp(Counter([7]+[6]*8),codim=1)) + print('CONTROL [8]^8 d=8:',lp(Counter([8]*8))) + print('CONTROL [8]^8 d=7 (need 111):',lp(Counter([8]*8),codim=1)) diff --git a/research/one-sided-excess-three/data/data3.txt b/research/one-sided-excess-three/data/data3.txt new file mode 100644 index 0000000000..8a25029756 --- /dev/null +++ b/research/one-sided-excess-three/data/data3.txt @@ -0,0 +1,5697 @@ +399 43 507 95 369 213 377 221 65 485 121 477 459 111 447 27 309 145 317 153 5 417 61 409 347 255 339 247 107 463 83 503 303 139 295 131 31 443 39 387 149 305 173 265 157 313 165 257 327 219 483 475 491 467 235 375 353 345 97 509 105 501 205 245 277 301 21 393 29 385 185 129 151 267 51 11 59 3 315 167 379 323 123 487 115 495 215 239 249 357 93 101 85 109 341 201 141 273 41 17 33 25 289 189 171 147 427 55 419 63 263 319 +14 +13 12 15 14 17 16 19 18 21 20 23 22 1 0 3 2 5 4 7 6 9 8 11 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 111 110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 +3 2 1 0 4 5 6 7 8 9 10 11 15 14 13 12 16 17 18 19 20 21 22 23 33 32 35 34 37 36 39 38 25 24 27 26 29 28 31 30 40 41 42 43 44 45 46 47 72 73 74 75 76 77 78 79 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 48 49 50 51 52 53 54 55 104 105 106 107 108 109 110 111 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 80 81 82 83 84 85 86 87 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72 74 77 79 80 81 82 83 84 85 86 87 88 90 93 95 96 97 98 99 101 102 104 107 109 110 +1 1 1 1 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 19 21 22 23 25 29 31 32 33 35 36 43 44 45 46 48 55 57 58 59 60 67 71 73 74 75 76 83 85 86 87 88 89 90 91 95 97 98 99 101 105 107 108 109 111 +1 1 0 -1 1 -1 1 -1 0 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 24 25 26 27 28 31 32 33 34 35 36 38 39 41 42 44 45 46 47 48 50 51 53 54 56 57 59 60 62 63 65 66 68 70 71 73 74 76 77 78 79 80 82 83 85 86 88 89 91 92 94 95 97 98 100 102 104 105 106 108 110 +1 0 0 1 0 -1 -2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 24 26 27 32 33 35 36 37 38 39 42 43 44 45 46 47 50 51 52 53 56 57 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 78 79 82 83 84 85 88 89 90 91 92 93 96 97 98 99 100 102 103 108 109 111 +1 1 -1 1 -3 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 12 13 15 17 20 21 22 23 24 25 26 27 28 29 32 34 38 39 41 42 43 44 45 48 49 51 53 54 55 56 57 58 59 60 61 63 64 66 67 68 70 71 74 75 76 77 78 80 81 86 87 89 90 91 92 93 96 97 99 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104 106 107 108 109 110 +1 0 1 -1 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 100 111 +1 0 1 0 0 -1 2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 40 41 44 45 46 47 48 49 52 53 54 55 56 57 60 61 62 63 64 65 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 102 103 108 109 +1 3 1 -3 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 28 30 32 33 34 35 36 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 +1 1 3 -1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 37 40 41 43 46 49 52 53 55 56 57 58 59 61 64 65 67 68 69 70 71 72 74 75 76 77 78 79 80 81 82 83 84 86 87 90 92 93 94 95 96 98 99 100 102 104 106 108 110 +1 1 1 1 1 0 1 -1 0 : 0 1 2 4 7 8 10 11 12 14 15 16 18 19 20 22 23 26 28 29 30 32 33 34 35 36 37 39 40 41 43 45 46 49 50 53 54 57 58 60 62 63 64 66 67 69 70 73 74 76 78 79 80 82 83 84 86 87 88 90 91 92 93 94 95 96 97 98 99 102 104 105 106 108 109 110 111 +1 1 3 3 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 68 69 71 73 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 105 107 111 +1 2 0 -1 0 0 0 1 0 : 0 3 4 7 10 13 16 17 18 19 20 22 23 24 28 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 55 57 59 61 63 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 87 89 91 93 95 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 0 -1 2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 24 26 27 32 33 35 36 37 38 39 40 41 44 45 46 47 48 49 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 86 87 88 89 90 91 94 95 96 97 98 99 100 102 103 108 109 111 +1 1 0 1 1 1 -1 0 1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 27 29 30 32 33 34 35 37 38 39 41 43 45 47 48 49 51 53 55 56 57 59 60 61 63 64 65 66 67 68 70 71 72 74 76 78 80 81 82 84 86 88 89 90 92 93 94 96 97 98 99 103 104 106 107 109 110 111 +1 1 1 0 -1 1 0 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 18 19 20 21 23 24 25 27 29 31 32 33 35 36 37 40 41 43 44 45 46 48 49 54 55 57 58 59 60 62 63 66 67 68 69 71 72 73 74 75 76 77 80 81 83 85 86 87 88 89 90 91 94 95 97 98 99 100 101 103 105 107 108 109 111 +1 1 1 1 1 -3 -3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 26 27 28 29 32 33 34 35 36 37 39 41 42 43 44 45 50 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 86 88 90 91 92 93 94 95 96 97 99 102 103 104 105 108 109 110 111 +1 1 0 0 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 39 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 89 90 91 92 99 100 101 106 107 108 109 111 +1 1 1 3 3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 30 33 34 35 36 37 38 39 40 41 42 43 47 48 55 56 60 61 62 63 64 65 66 67 68 69 70 71 73 74 75 76 80 81 82 84 88 89 90 92 93 94 95 96 97 98 99 100 101 103 104 106 109 110 111 +1 0 2 0 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 43 44 45 46 47 49 51 52 53 54 55 57 59 60 61 62 63 65 67 68 70 72 73 74 75 76 78 80 81 82 83 84 86 88 89 90 91 92 94 96 97 98 99 102 104 107 109 +1 0 1 1 0 0 0 0 -2 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 39 41 42 45 46 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 88 91 92 95 97 98 100 105 106 111 +1 0 0 2 0 -1 0 0 -1 : 1 2 4 6 7 8 11 12 15 16 17 18 19 20 21 22 23 24 26 29 30 33 35 36 39 40 41 42 43 45 46 48 49 50 51 52 53 54 55 57 58 60 61 62 63 64 67 69 70 72 73 74 75 76 79 80 81 82 83 84 85 86 87 88 91 92 93 94 95 97 98 100 102 105 106 109 111 +1 1 1 1 -1 3 1 1 -3 : 1 2 3 4 5 7 8 9 10 11 12 15 16 19 20 21 22 23 25 26 29 30 31 32 33 35 36 39 40 43 44 45 46 48 49 50 53 54 55 57 58 59 60 63 64 67 69 70 71 73 74 75 76 79 80 83 84 85 86 88 89 90 91 93 94 95 97 98 99 101 102 105 106 107 108 109 111 +1 1 -1 3 1 3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 17 18 19 20 21 22 23 24 25 26 27 29 31 33 35 36 37 38 39 42 44 45 47 48 50 51 54 56 57 58 59 60 62 63 64 65 66 67 68 69 70 71 73 76 77 78 79 82 85 88 89 90 91 94 96 97 98 99 100 102 104 106 108 109 110 111 +1 1 1 2 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 3 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 18 19 20 22 23 24 26 28 29 31 32 34 35 36 37 39 40 42 43 45 47 48 49 51 52 53 54 56 57 58 59 60 62 64 65 66 69 71 72 73 75 77 78 79 81 83 84 86 88 89 90 92 94 95 96 98 100 101 103 104 106 107 109 111 +1 1 1 1 -1 1 3 -3 1 : 0 1 2 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 25 27 28 30 31 32 33 35 37 38 41 42 44 45 46 47 49 50 53 54 56 57 58 59 61 62 65 66 69 70 72 73 74 75 77 78 81 82 84 85 86 87 88 90 91 93 94 96 97 98 99 101 103 104 106 107 108 109 111 +1 1 -1 3 -1 -1 -3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 18 19 20 21 23 24 27 28 29 32 33 34 35 36 37 38 41 42 43 45 46 47 50 51 52 53 54 55 56 57 59 60 61 63 64 65 69 70 71 74 75 78 79 80 82 83 84 85 87 88 89 92 93 96 97 98 100 101 102 103 106 107 108 111 +1 1 1 1 1 1 1 3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 37 38 39 40 41 44 45 50 51 52 53 58 59 62 63 64 65 66 67 68 69 74 75 78 79 80 81 82 83 86 87 88 89 90 91 92 93 94 95 96 97 99 104 105 106 107 108 109 110 111 +1 1 -1 -1 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 25 26 27 28 29 30 31 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 64 65 66 67 72 73 74 75 80 81 82 83 84 85 86 87 92 93 94 95 100 101 103 104 105 106 107 108 109 110 +1 1 1 -1 3 -3 1 -1 -1 : 0 1 4 5 6 7 8 9 10 11 12 13 14 16 17 20 21 23 24 25 26 28 29 32 33 34 38 40 41 42 43 44 45 46 47 50 53 56 57 58 59 60 61 62 63 65 68 70 71 72 73 75 76 77 78 79 80 82 83 86 88 89 90 91 92 93 94 95 98 100 101 102 104 105 108 109 110 +1 0 0 0 1 0 0 -1 -2 : 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 19 20 21 25 28 29 30 31 34 36 38 39 40 41 42 44 45 47 49 50 51 52 53 54 56 58 59 61 62 63 64 65 67 68 69 70 72 74 75 77 78 79 80 81 83 84 86 87 88 89 90 92 93 95 97 98 99 101 104 105 106 107 110 +1 0 1 0 1 0 -1 1 0 : 0 1 2 4 7 8 9 11 12 13 15 17 18 21 22 24 26 27 29 30 31 33 34 35 36 38 39 40 42 43 45 46 49 50 52 54 55 56 58 59 61 62 65 66 69 70 73 74 76 77 79 80 81 83 85 86 89 90 92 93 95 96 97 99 101 103 104 107 108 110 +1 3 -1 -3 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 26 28 29 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 79 80 81 82 83 86 89 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 -3 1 1 -3 1 : 0 2 3 4 6 7 8 9 11 12 13 14 15 18 20 21 22 23 25 28 30 31 32 33 34 35 36 37 38 40 42 44 45 47 49 51 52 54 56 58 59 61 63 65 66 67 68 70 72 74 75 77 79 81 82 83 84 86 87 88 89 90 91 93 94 95 96 97 98 101 104 106 107 108 109 110 111 +1 1 -1 0 0 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 34 35 36 37 38 39 40 41 42 43 45 48 49 51 53 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 86 89 92 93 94 95 96 97 98 99 100 101 103 106 107 109 110 111 +1 1 0 -1 0 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 47 49 50 51 52 53 54 55 56 57 58 59 60 67 71 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 110 +1 1 -1 -1 1 -1 3 3 -1 : 1 2 3 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 25 27 28 30 31 32 33 35 36 37 38 39 40 43 45 46 47 48 49 50 51 52 55 56 59 60 61 62 63 64 67 68 71 72 75 76 77 78 79 80 83 84 87 88 89 90 91 92 95 96 99 100 102 103 104 105 107 108 110 +1 0 1 1 0 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 25 26 29 31 32 34 35 36 40 41 42 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 0 0 0 2 0 1 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 26 28 31 33 36 38 40 41 42 43 44 46 48 49 50 51 52 54 56 57 58 59 60 62 64 65 66 67 68 70 72 73 74 75 76 78 80 81 82 83 84 86 88 89 90 91 92 94 96 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 2 -1 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 39 41 42 45 46 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 88 91 92 95 97 98 100 105 106 111 +1 1 0 0 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 40 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 111 +1 1 -1 0 0 0 0 1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 28 30 32 33 34 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 55 57 58 59 61 62 63 64 65 67 70 71 72 73 76 77 82 83 84 85 90 91 94 95 96 97 100 101 102 103 105 107 108 109 110 111 +1 1 1 0 0 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 28 29 30 31 32 33 34 35 36 37 42 43 44 45 50 51 52 53 58 59 60 61 66 67 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 100 101 104 105 106 107 108 109 110 111 +1 0 0 2 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 16 17 18 19 20 21 22 23 24 27 28 31 32 35 37 38 39 41 42 43 45 46 47 49 50 51 52 53 54 56 57 58 60 61 62 64 65 66 69 70 71 73 74 75 77 78 79 81 82 83 84 85 86 88 89 90 92 93 94 96 97 98 100 103 104 107 108 111 +1 0 0 1 -2 -1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 26 33 34 35 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 64 65 66 67 68 69 70 71 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 100 101 102 109 110 111 +1 0 0 2 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 17 18 19 20 21 22 23 24 26 28 31 33 35 36 37 38 39 41 43 44 45 46 47 49 51 52 54 56 57 58 59 60 62 64 65 66 67 68 69 70 71 73 75 76 77 78 79 81 83 84 86 88 89 90 91 92 94 96 97 98 99 100 102 104 107 109 111 +1 1 0 0 0 0 -2 -1 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 27 28 31 32 36 37 39 40 41 43 44 45 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 69 71 72 73 75 76 77 79 80 81 83 84 85 87 88 89 91 92 93 95 96 97 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 3 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 24 25 26 30 31 32 33 35 39 40 41 42 43 44 48 49 50 51 52 53 54 55 59 60 61 62 63 64 69 70 71 72 73 74 79 80 81 82 83 84 85 86 87 89 90 91 92 93 94 95 99 100 101 102 106 107 108 109 111 +1 1 1 -1 -3 3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 19 21 22 23 24 25 26 27 28 30 33 34 36 40 41 42 43 44 45 46 47 48 55 56 57 58 59 60 61 62 63 67 68 69 70 72 73 74 75 77 78 79 80 81 82 84 88 89 90 91 92 93 94 95 96 100 101 102 103 104 106 109 110 +1 1 -3 1 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 25 26 27 29 30 31 32 33 34 35 36 38 40 41 42 44 46 47 48 50 52 53 54 56 57 58 59 60 62 64 65 66 69 71 72 73 75 77 78 79 81 83 84 85 87 88 90 91 93 95 96 97 99 101 103 104 106 107 109 111 +1 1 1 1 -1 -3 -1 3 -1 : 0 2 3 4 5 6 8 10 12 13 14 15 16 17 18 19 21 23 25 26 27 28 29 31 33 35 37 39 40 42 45 46 47 48 50 51 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 84 85 86 87 89 90 91 92 93 95 96 97 98 101 102 103 104 105 107 109 111 +1 1 -3 -1 1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 44 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 72 73 74 75 76 77 78 81 82 83 87 88 89 90 91 92 96 97 98 99 100 102 103 104 105 109 110 +1 0 0 0 1 1 1 -1 0 : 0 1 2 4 5 6 10 11 12 14 15 16 17 18 21 22 23 25 26 27 28 31 32 33 34 36 37 39 41 42 45 46 48 50 51 52 53 55 57 58 61 62 64 66 67 68 69 71 73 74 77 78 80 82 83 84 85 87 89 90 93 94 96 98 99 101 102 103 104 107 108 109 110 +1 0 1 0 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 26 30 31 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 88 93 94 95 99 101 102 103 104 105 106 107 108 109 110 +1 1 3 -1 1 -1 1 1 3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 25 26 27 28 30 31 32 33 34 35 37 38 39 40 43 44 45 46 49 50 51 52 55 56 57 58 61 62 63 64 67 69 70 71 72 75 76 77 78 79 81 82 83 84 87 88 89 90 93 94 95 96 99 100 102 105 106 107 108 110 +1 1 1 1 -1 -1 1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 18 19 20 21 22 25 26 28 29 30 31 32 35 38 39 40 41 44 45 48 49 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 84 85 86 87 88 89 90 91 92 93 94 95 98 99 101 102 104 105 106 107 108 111 +1 1 -1 1 -1 -1 1 1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 27 28 29 30 33 34 36 39 40 41 42 44 45 46 49 50 51 53 54 55 56 59 60 63 64 65 66 68 69 70 73 74 75 77 78 79 80 83 84 87 88 89 90 92 93 94 97 98 99 101 102 105 106 107 108 111 +1 1 -1 -3 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 27 28 30 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 55 56 60 64 65 66 68 69 70 71 73 74 75 77 78 79 83 84 88 89 90 92 93 94 96 97 98 99 100 101 102 105 107 108 111 +1 0 1 0 0 1 0 0 0 : 4 5 6 7 8 15 16 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 52 53 54 55 60 61 62 63 72 73 74 75 80 81 82 83 88 89 90 91 96 97 98 99 102 109 +1 1 -1 1 1 1 1 0 0 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 36 37 42 43 46 47 48 49 50 51 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 76 77 82 83 84 85 90 91 94 95 96 97 98 99 104 105 106 107 108 109 110 111 +1 3 -1 1 -1 -1 1 1 -3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 27 28 29 30 33 34 37 38 39 40 43 44 47 48 49 50 52 53 54 55 57 58 59 61 62 63 64 67 68 71 72 73 74 76 77 78 81 82 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 1 1 3 -3 -1 1 1 : 0 1 4 5 6 7 8 9 10 11 12 13 14 16 17 20 21 23 25 26 27 30 31 33 34 35 38 40 41 42 43 44 45 46 47 50 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 84 85 87 88 90 91 92 93 94 95 96 97 99 101 102 103 106 107 109 110 111 +1 1 0 0 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 63 64 69 70 71 75 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 106 107 108 111 +1 3 1 1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 18 20 22 23 28 30 32 33 34 35 37 42 46 48 50 51 54 56 58 59 60 62 63 64 65 66 67 70 72 74 75 76 78 79 80 81 82 83 84 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 0 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 24 25 27 28 30 33 34 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 61 62 63 67 68 69 70 71 72 73 74 75 76 80 81 82 84 85 86 87 88 89 90 91 95 96 100 102 103 104 105 106 107 108 109 111 +1 1 1 -1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 17 20 21 23 24 26 28 29 32 34 38 41 44 46 47 50 53 56 57 59 62 65 68 70 71 74 76 77 78 79 80 82 83 86 89 92 94 95 98 100 102 104 105 108 110 +1 0 0 0 1 0 0 2 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 18 19 20 21 25 28 29 30 31 34 36 37 38 40 42 43 45 46 47 48 49 51 52 54 55 56 57 58 60 61 63 65 66 67 68 70 71 72 73 74 76 77 79 81 82 83 84 85 86 88 90 91 93 94 95 96 97 99 101 104 105 106 107 110 +1 1 1 0 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 18 21 24 25 26 27 28 29 30 32 33 35 36 38 40 42 45 47 49 51 52 54 56 58 61 63 65 67 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 100 101 102 103 104 105 106 108 109 111 +1 1 -1 -3 1 -1 1 3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 18 19 20 22 23 24 25 27 28 30 31 33 35 37 38 39 41 43 44 45 46 47 49 50 51 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50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 -1 1 -1 0 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 27 28 29 31 33 37 39 40 41 43 45 46 47 49 51 53 54 55 57 59 60 61 62 63 65 66 67 68 69 71 72 73 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 108 109 110 111 +1 0 1 0 -1 0 1 1 0 : 1 2 3 4 7 8 9 10 11 12 15 17 18 21 22 24 25 26 29 30 31 32 33 35 36 39 40 43 44 45 46 48 49 50 52 55 56 59 60 61 62 64 65 66 69 70 71 73 74 75 76 79 80 83 85 86 87 89 90 91 92 95 96 99 101 103 104 107 108 110 +1 1 -1 -1 -1 -1 0 0 -1 : 1 2 4 6 7 9 10 12 13 14 15 17 18 20 21 22 23 27 28 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 52 53 54 55 57 58 61 62 65 66 68 69 70 71 73 74 77 78 81 82 85 86 89 90 93 94 96 97 98 99 100 101 102 103 104 105 107 108 +1 1 1 -1 -1 -1 -3 -3 -1 : 1 2 3 4 6 7 9 10 12 13 14 15 17 18 20 21 22 23 24 25 26 27 28 29 31 32 36 37 38 39 40 43 44 47 48 51 52 55 56 59 60 63 64 65 66 67 68 69 70 72 73 74 75 76 77 78 79 80 83 84 85 86 87 88 91 92 95 96 99 100 101 102 103 104 105 107 108 +1 0 0 0 0 2 -1 0 1 : 0 1 3 4 5 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 37 38 39 40 41 42 44 46 47 48 49 51 52 54 55 56 57 59 61 62 63 64 65 66 68 70 71 72 73 75 77 78 79 80 81 82 85 86 87 88 89 90 92 94 95 96 97 99 102 103 105 106 108 109 +1 1 -1 1 1 0 -1 1 0 : 0 1 2 4 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 32 33 37 38 41 42 44 45 47 48 49 51 52 53 55 56 57 59 60 61 62 63 64 65 66 67 68 70 71 72 74 75 77 78 81 82 85 86 89 90 92 93 95 96 97 99 102 103 105 106 107 109 110 111 +1 1 -3 1 -1 -1 -3 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 24 25 26 28 29 30 31 32 33 34 35 36 37 38 40 41 44 45 48 49 51 52 53 54 55 56 57 58 60 61 62 64 65 68 70 71 74 75 78 79 81 82 83 84 85 87 88 90 91 92 94 95 98 99 101 102 103 104 105 108 111 +1 1 -1 3 1 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 18 19 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86 87 88 89 90 91 94 96 98 99 101 104 106 108 109 111 +1 1 -1 0 1 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 17 22 24 25 26 28 29 30 31 32 33 35 36 37 40 41 44 45 46 47 48 49 50 51 52 53 56 57 60 61 62 63 64 65 66 67 70 71 74 75 76 77 80 81 86 87 90 91 92 93 96 97 100 102 103 104 105 106 107 109 110 111 +1 1 1 -1 -1 -1 -1 0 0 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 36 37 38 39 40 41 44 45 50 51 52 53 58 59 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 84 85 86 87 88 89 92 93 98 99 100 101 102 103 104 105 106 107 +1 0 1 1 1 -1 -1 1 0 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 26 27 29 30 31 34 35 36 38 39 40 41 42 43 45 46 48 50 51 53 54 56 58 59 60 61 63 65 66 69 70 72 74 75 76 77 79 81 82 84 85 87 89 90 92 93 94 95 96 97 99 100 101 102 103 104 107 108 109 110 111 +1 1 1 1 -1 -1 -3 -3 1 : 1 2 3 4 5 7 9 10 11 13 14 15 16 17 18 20 21 22 25 26 27 28 30 31 32 35 36 39 40 43 44 47 48 49 50 51 52 53 54 55 56 59 60 63 64 67 68 69 70 71 72 75 76 79 80 83 84 85 86 88 89 90 91 92 93 94 95 96 99 101 102 103 104 106 107 108 111 +1 0 1 1 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 16 17 18 19 20 22 23 25 26 27 28 29 30 32 33 35 37 39 41 43 44 45 46 47 48 49 50 51 52 54 56 58 61 63 65 67 68 70 72 74 77 79 81 83 84 85 86 87 88 89 90 91 92 94 96 98 100 101 104 107 110 111 +1 1 -1 -3 1 1 1 -1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 18 20 21 22 23 24 25 26 27 29 30 31 35 37 38 40 42 43 44 46 47 48 49 50 51 53 54 56 58 59 60 62 63 64 65 67 68 69 71 73 74 77 78 80 82 83 84 85 87 89 90 93 94 96 98 99 100 104 105 106 108 109 110 111 +1 1 0 1 -1 0 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 44 45 46 47 51 52 53 54 55 56 57 58 60 61 62 63 64 68 72 73 74 75 79 80 81 82 83 84 85 86 88 89 90 91 92 96 97 98 99 101 102 103 104 105 109 111 +1 0 0 1 1 1 0 0 -1 : 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 24 25 26 29 30 33 34 35 36 37 38 39 41 42 45 46 49 50 53 54 57 58 61 62 64 65 66 67 68 69 70 71 72 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87 88 89 90 91 92 93 94 95 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 3 1 -1 -3 -1 : 0 2 3 4 5 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 29 31 33 34 37 39 40 41 43 44 46 48 49 50 53 54 55 57 59 60 62 63 64 66 68 69 71 72 74 75 76 77 78 80 81 82 83 85 87 88 89 91 92 94 96 97 98 100 101 103 104 105 107 109 110 +1 1 -1 -1 1 -3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 35 36 37 38 39 40 44 45 46 47 51 53 54 55 56 57 58 60 61 62 63 64 69 70 71 72 73 74 76 77 78 79 80 87 88 89 90 91 93 94 95 96 97 98 100 102 106 107 108 109 110 +1 0 1 -2 0 0 0 1 0 : 0 3 4 7 10 13 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 37 39 41 43 45 47 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 88 90 92 94 96 98 100 104 107 111 +1 3 -1 -1 1 -1 1 -1 3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 25 27 29 30 31 33 35 36 38 39 41 42 44 45 46 47 48 50 51 53 54 56 57 59 60 62 63 65 66 69 70 72 73 75 76 78 79 81 82 84 85 87 88 90 91 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 0 1 1 1 1 1 1 : 2 3 6 7 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 44 51 52 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 0 0 -2 0 1 : 0 1 2 3 5 6 9 11 12 14 16 17 18 20 21 22 23 24 27 29 30 32 35 36 38 39 41 42 43 45 46 47 48 50 51 52 53 55 56 57 58 60 61 62 64 65 67 69 70 71 72 74 75 76 78 79 81 82 83 84 85 86 88 89 91 92 93 95 96 97 98 100 103 105 106 108 111 +1 1 2 0 0 -1 0 0 0 : 4 5 6 7 8 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 40 41 42 43 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 0 -1 -1 0 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 18 19 20 21 23 24 27 28 29 32 33 34 35 36 37 38 39 41 42 43 45 46 47 50 51 52 53 54 55 56 57 59 60 61 63 64 65 69 70 71 74 75 78 79 80 82 83 84 85 87 88 89 92 93 96 97 98 100 101 102 103 106 107 108 111 +1 1 1 3 3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 29 31 33 34 35 36 37 38 39 40 41 42 43 46 49 54 57 60 61 62 63 64 65 66 67 68 69 70 71 72 74 75 77 80 81 83 85 88 89 91 92 93 94 95 96 97 98 99 100 101 103 105 107 109 110 111 +1 1 -1 -1 -1 -1 -1 1 3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 28 29 30 32 33 34 35 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 67 69 70 72 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 95 97 98 100 101 102 103 105 106 107 +1 0 1 1 1 1 0 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 27 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 50 51 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 86 87 89 90 91 93 94 95 96 97 98 99 100 101 102 104 105 106 107 109 110 111 +1 1 0 -1 -1 -1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 52 53 54 55 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 84 85 86 87 96 97 98 99 100 101 102 103 104 105 106 107 108 +1 1 0 0 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 60 61 63 65 69 74 76 77 79 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 103 106 107 110 111 +1 1 -1 -3 -1 -1 1 -1 -3 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 20 21 22 23 24 27 29 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 49 50 52 53 55 56 58 59 60 62 63 65 66 68 70 71 73 74 77 78 80 81 83 84 86 87 89 90 93 94 96 97 99 100 101 102 104 105 106 108 111 +1 0 1 0 0 1 -1 0 1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 24 25 27 28 30 31 33 34 35 37 38 39 41 43 44 46 47 48 50 52 54 55 56 58 61 62 63 65 67 69 71 72 73 75 76 78 80 81 82 84 86 88 89 90 93 95 96 97 99 102 103 105 106 108 109 +1 1 1 3 -1 3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 17 18 19 20 21 22 23 24 25 26 29 31 32 33 35 36 37 38 39 43 44 45 46 47 48 55 56 57 58 59 60 64 65 66 67 68 69 70 73 74 75 76 77 78 79 83 85 86 87 88 89 90 91 95 96 97 98 99 100 101 102 105 107 108 109 111 +1 0 0 0 2 0 -1 1 0 : 0 1 2 4 7 8 9 10 11 12 13 14 15 17 18 21 22 25 27 28 31 32 34 36 38 39 40 42 43 44 45 47 48 49 51 52 54 55 56 58 59 60 61 63 64 65 67 68 70 71 72 74 75 76 77 79 80 81 83 84 86 87 88 90 91 92 93 95 96 97 99 101 103 104 107 108 110 +1 1 -2 0 0 0 0 1 0 : 0 3 4 7 10 13 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 101 102 103 105 106 107 108 109 110 111 +1 3 -1 -1 -1 -1 1 1 3 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 27 28 29 30 33 34 35 36 37 38 39 41 42 43 45 46 47 48 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 87 88 89 90 92 93 94 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 -1 1 1 -1 -1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 27 28 29 30 33 34 36 37 38 41 42 43 45 46 47 48 51 52 55 56 57 58 60 61 62 65 66 67 69 70 71 72 75 76 79 80 81 82 84 85 86 89 90 91 93 94 95 96 99 100 103 104 105 106 109 110 +1 1 -3 -1 1 3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 40 41 42 43 44 45 46 48 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 71 72 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 100 102 103 104 106 109 110 +1 0 1 -1 1 -1 0 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 26 27 28 30 32 34 36 37 40 41 43 44 45 46 48 49 52 53 55 56 57 58 59 60 61 64 65 67 68 69 70 72 73 76 77 78 79 80 81 82 84 85 88 89 91 92 93 94 96 97 100 101 102 104 105 106 107 109 110 111 +1 1 1 1 -1 -3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 25 26 27 28 29 32 33 35 38 39 40 41 45 46 47 48 49 51 52 54 55 56 57 58 62 63 64 65 68 70 71 72 73 74 78 79 80 81 84 85 86 87 89 90 91 92 94 95 96 97 98 101 102 103 104 105 108 109 111 +1 1 -1 1 -1 -1 -1 -3 -3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 24 28 29 30 31 32 33 34 36 37 38 39 40 41 44 45 50 51 52 54 55 56 57 58 59 60 61 62 63 64 65 68 69 74 75 78 79 80 81 82 83 84 85 86 87 88 89 92 93 98 99 101 102 103 104 105 106 107 111 +1 1 3 1 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 45 46 47 51 53 54 55 59 63 64 68 72 73 74 76 77 78 80 81 82 83 84 85 86 88 89 90 91 92 93 94 95 96 97 98 99 103 104 105 109 110 111 +1 0 0 1 0 -2 0 0 -1 : 1 2 4 5 6 7 8 11 12 15 16 17 18 19 21 22 23 24 26 29 30 33 35 37 38 40 41 42 43 44 47 48 49 50 51 52 53 54 55 56 59 60 61 62 63 65 66 68 71 72 73 74 75 77 78 80 81 82 83 84 85 86 87 89 90 92 93 94 95 96 99 100 102 105 106 109 111 +1 1 3 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 37 40 41 43 44 45 47 48 49 50 51 54 57 61 64 65 67 68 69 70 71 72 74 75 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 98 99 101 102 104 106 108 111 +1 1 -1 -1 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 18 19 22 23 25 28 29 32 33 35 36 37 39 41 44 45 46 47 48 49 51 53 58 60 61 63 65 69 74 76 77 79 81 86 88 90 91 93 98 100 102 103 106 107 110 +1 1 1 1 -3 1 -1 -3 -1 : 0 2 3 4 5 7 8 9 11 12 13 14 15 17 18 19 21 23 25 27 28 29 31 33 34 35 36 38 39 40 42 45 46 47 49 51 52 54 56 57 58 61 63 64 65 67 68 70 72 73 74 77 79 80 81 83 84 85 86 88 89 90 91 92 93 95 96 98 99 101 103 104 105 107 109 110 111 +1 1 0 1 0 -1 0 0 1 : 1 2 4 5 7 8 11 12 15 16 17 18 20 21 22 24 26 29 30 33 35 36 39 40 43 45 46 49 50 52 53 54 55 56 59 60 61 62 63 65 66 69 70 73 74 76 79 80 83 84 85 86 87 89 90 92 93 94 95 96 99 101 102 103 104 106 107 108 110 111 +1 1 -1 1 -1 1 -3 3 -1 : 0 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 24 26 27 28 30 31 32 34 37 38 40 41 42 43 45 46 49 50 52 53 54 55 56 57 59 61 62 64 65 66 67 69 70 73 74 76 77 78 79 81 82 85 86 88 89 90 91 93 94 97 98 101 103 104 105 107 108 109 111 +1 1 1 0 0 0 0 0 -2 : 1 2 5 6 11 12 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 71 73 74 77 78 80 83 85 86 88 91 92 95 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -1 1 -1 3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24 25 27 28 29 30 31 33 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 68 69 70 71 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 94 95 96 97 100 101 103 104 105 106 107 109 +1 3 -1 -1 -1 1 -1 -1 -3 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 26 29 30 31 32 34 35 36 37 38 40 41 42 43 44 47 48 49 50 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 85 86 87 88 91 92 93 94 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +1 1 -1 -1 1 -1 -3 -1 -3 : 0 2 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 25 27 29 30 31 32 33 35 36 37 38 39 40 42 44 45 47 48 49 50 51 52 54 57 59 60 61 62 63 64 66 68 70 73 75 76 77 78 79 80 82 85 87 88 89 90 91 92 94 97 99 100 102 103 104 105 106 108 110 +1 3 1 -3 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 51 53 58 62 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 -3 1 -1 1 -1 3 -1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 24 25 26 27 28 29 30 32 33 34 35 37 39 40 41 43 45 46 47 49 51 52 53 55 56 57 58 59 61 63 64 65 67 68 70 72 73 74 76 78 79 80 82 84 85 86 89 90 91 92 94 96 97 98 101 103 104 105 107 109 111 +1 1 0 0 0 1 -1 1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 37 38 40 41 43 45 46 48 49 51 53 54 56 57 59 61 62 64 65 67 69 70 72 73 75 77 78 80 81 83 85 86 88 89 91 93 94 96 97 99 100 101 103 105 106 107 109 110 111 +1 3 -1 -3 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 25 27 29 31 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 60 62 63 66 68 69 70 71 72 74 75 76 77 78 79 80 81 82 83 85 88 89 91 94 97 100 101 102 103 104 105 106 107 108 109 110 +1 1 -2 1 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 -1 0 -1 0 -1 : 0 2 3 5 6 8 10 12 13 14 15 17 19 20 22 25 27 29 30 32 34 36 37 38 40 41 43 44 46 49 51 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 84 85 86 88 89 91 92 94 97 99 100 101 102 103 104 105 107 109 111 +1 1 1 -1 -1 1 -3 1 -3 : 0 2 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 37 39 40 41 42 43 44 46 49 51 52 54 57 59 60 61 62 63 64 66 68 69 70 71 72 73 74 77 79 80 81 82 83 85 87 88 89 90 91 92 94 97 99 100 101 103 105 106 107 108 109 +1 1 -3 -1 1 -3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 41 44 45 46 47 48 49 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 82 83 86 88 89 90 91 93 96 97 98 99 100 102 103 106 107 109 110 +1 1 -1 3 1 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 18 19 21 22 23 24 25 28 29 30 32 33 35 36 37 39 41 42 44 46 47 48 49 51 52 53 55 57 58 60 61 62 63 64 65 67 69 70 72 74 75 76 77 79 81 82 85 86 88 90 91 92 93 95 97 98 100 102 103 105 106 107 110 111 +1 1 -1 1 0 -1 -1 1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 16 17 19 20 21 24 25 28 29 30 32 33 34 36 37 39 41 42 44 45 47 49 50 52 53 54 55 56 57 59 60 61 62 63 64 65 67 69 70 72 74 75 77 78 80 82 83 84 85 87 89 90 92 93 95 97 98 101 102 103 105 106 107 110 111 +1 3 1 -1 -1 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 27 29 31 32 33 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 61 62 63 64 65 66 68 69 71 72 73 74 75 76 77 80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 0 0 2 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 32 34 35 38 39 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 64 65 70 71 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 96 97 100 101 103 108 110 111 +1 1 1 1 -1 3 -1 3 1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 17 18 20 21 23 25 26 27 28 30 31 33 35 36 38 41 43 44 46 47 49 50 51 52 53 54 56 57 59 60 62 65 67 68 69 70 72 73 75 76 78 81 83 85 86 87 88 89 90 91 92 93 94 96 97 99 101 102 103 104 106 107 109 111 +1 1 0 0 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 61 64 65 67 70 73 77 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 103 105 107 109 110 111 +1 1 -1 -1 0 -1 0 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 15 17 19 21 22 23 25 27 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 50 51 52 53 54 56 57 60 62 63 66 67 68 69 70 72 73 76 78 79 82 83 84 85 88 89 91 94 95 97 98 99 100 101 102 103 104 106 108 110 +1 1 1 0 1 -1 0 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 18 19 20 21 23 24 26 27 28 30 32 34 35 36 37 40 41 43 44 45 46 48 49 54 55 57 58 59 60 62 63 66 67 68 69 70 72 73 76 77 78 79 80 81 82 84 86 87 90 91 92 93 94 95 96 98 99 100 102 103 104 106 108 110 111 +1 1 1 1 1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 26 27 30 31 32 33 34 35 36 37 38 40 42 43 44 45 50 51 52 53 58 59 60 61 63 65 66 67 68 69 74 75 76 77 79 81 82 83 84 85 87 89 90 91 92 93 94 95 96 97 98 99 102 103 106 107 108 109 110 111 +1 1 3 1 -1 -3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 24 25 26 27 28 29 30 31 32 34 35 36 40 41 42 43 47 48 49 50 51 52 53 54 57 58 59 60 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 88 89 90 92 93 94 95 96 101 102 103 104 106 109 111 +1 1 -1 1 -1 3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 26 30 31 32 33 34 39 40 41 42 43 45 46 47 48 49 50 52 56 57 58 59 63 64 65 66 67 69 70 71 72 73 74 76 77 78 79 80 87 88 89 90 91 93 94 95 96 97 98 101 102 103 104 105 109 111 +1 1 0 0 -1 0 0 -2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 25 28 31 34 36 38 40 42 44 45 46 47 48 49 50 51 52 54 56 58 60 61 62 63 64 65 66 67 68 70 72 74 76 77 78 79 80 81 82 83 84 86 88 90 92 93 94 95 96 97 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80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 103 105 107 108 109 +1 1 -3 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 44 45 46 47 48 49 50 52 53 54 55 56 57 58 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 79 81 82 83 87 89 90 91 92 99 102 103 104 105 110 111 +1 0 0 1 1 0 0 0 2 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 34 35 37 38 40 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 63 65 66 68 71 73 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 94 96 99 100 101 105 106 110 111 +1 3 1 -1 -1 -1 1 1 -3 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 24 25 26 29 30 31 32 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 65 66 67 68 69 70 71 73 74 75 77 78 79 80 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 2 0 -1 1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 3 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 55 58 62 65 68 70 71 74 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 104 105 108 111 +1 1 1 -1 1 -3 1 1 3 : 1 2 3 4 5 7 8 11 12 13 14 15 16 17 18 19 20 23 24 26 29 30 31 32 33 34 36 39 40 43 45 46 47 49 50 51 52 53 54 56 57 58 60 63 64 67 69 70 71 73 74 75 76 77 78 79 80 81 82 84 87 88 91 93 94 95 97 98 99 100 102 105 106 107 108 109 110 +1 1 0 0 1 0 1 0 -1 : 0 1 3 5 6 8 10 11 13 14 15 17 19 20 22 25 27 29 30 32 34 36 38 41 43 44 46 47 49 50 51 53 55 56 58 61 62 63 64 66 67 69 71 72 74 77 78 79 80 82 83 84 86 89 91 92 94 95 97 98 99 100 102 104 105 107 108 109 110 111 +1 0 1 -1 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 16 17 19 20 21 23 24 25 26 28 29 30 32 33 34 37 38 41 42 45 46 49 50 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 85 86 89 90 93 94 97 98 100 103 104 107 108 111 +1 1 0 -2 0 0 -1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 22 23 24 27 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 55 58 59 62 63 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 87 90 91 94 95 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 1 1 1 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 25 27 28 29 31 32 33 35 36 39 40 43 44 45 46 47 48 51 52 55 56 57 58 59 60 63 64 67 68 71 72 73 74 75 76 79 80 83 84 85 86 87 88 89 90 91 92 95 96 97 98 99 101 103 104 105 107 108 109 111 +1 1 1 1 -1 1 0 0 1 : 1 2 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 25 27 28 30 31 32 33 35 37 38 41 42 44 45 46 47 49 50 53 54 56 57 58 59 61 62 65 66 69 70 72 73 74 75 77 78 81 82 84 85 86 87 88 89 90 91 93 94 96 97 98 99 101 103 104 106 107 108 109 111 +1 1 3 -1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 40 42 45 46 47 48 49 50 52 54 56 58 59 60 61 62 64 66 68 69 71 73 75 76 77 78 79 80 81 83 85 87 89 90 91 92 93 95 97 99 100 102 103 104 105 107 110 +1 1 -1 -1 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 17 18 20 21 23 25 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 49 50 51 52 54 55 56 58 61 62 63 65 67 68 70 71 72 74 77 78 79 81 83 84 86 88 89 90 93 95 96 97 99 100 101 102 104 105 107 108 110 +1 1 0 1 1 1 -1 0 -1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 27 29 30 32 33 34 35 36 38 39 40 42 44 46 48 49 50 52 54 56 57 58 60 61 62 64 65 66 67 69 70 71 73 75 77 79 80 81 83 85 87 88 89 91 92 93 95 96 97 98 99 103 104 105 107 109 110 111 +1 0 1 1 0 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 25 28 29 32 33 34 35 36 37 39 41 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 69 74 76 77 78 79 80 81 82 83 86 88 90 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 0 1 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 32 34 35 36 37 40 41 46 47 50 51 52 53 54 55 56 57 58 59 60 61 64 65 68 69 72 73 78 79 82 83 84 85 86 87 88 89 90 91 92 93 96 97 101 102 103 104 105 106 107 109 111 +1 1 1 -1 1 -3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 26 28 30 32 33 34 36 38 39 40 41 43 44 45 46 47 49 54 56 57 58 59 60 62 63 64 65 67 68 69 70 71 73 76 77 78 79 82 84 86 87 88 89 91 92 93 94 95 97 100 102 104 106 108 109 110 +1 3 1 1 1 3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 26 28 29 32 33 34 35 36 37 39 40 42 43 45 48 49 50 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 86 88 89 90 91 92 94 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 1 0 -1 1 0 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 23 24 25 27 30 31 32 33 35 38 39 41 42 43 44 46 47 50 51 52 53 56 57 59 60 61 62 64 65 69 70 71 72 73 74 75 78 79 81 82 83 84 85 87 88 89 90 91 92 93 96 97 99 100 101 103 106 107 108 109 111 +1 0 1 1 1 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 26 27 28 29 30 34 35 37 38 39 40 41 42 43 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 92 93 94 95 96 97 98 100 101 102 103 104 107 108 109 110 111 +1 1 0 0 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 57 58 59 60 67 71 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 111 +1 1 1 -3 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 29 32 33 34 35 36 37 38 39 40 41 42 43 45 50 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 80 82 83 86 88 90 91 92 93 94 95 96 97 99 100 101 104 105 108 109 110 111 +1 0 0 0 1 0 -2 -1 0 : 0 1 2 3 4 7 8 9 10 11 12 14 15 17 18 21 22 25 27 28 31 32 34 36 38 39 40 42 43 44 45 47 48 49 51 52 54 55 56 58 59 60 61 63 64 65 67 68 70 71 72 74 75 76 77 79 80 81 83 84 86 87 88 90 91 92 93 95 96 97 99 101 103 104 107 108 110 +1 1 -1 -3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 59 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 87 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105 111 +1 3 -1 1 -1 1 -3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 26 27 29 31 32 34 36 37 40 41 42 44 45 47 48 49 52 53 54 56 57 58 59 60 61 64 65 66 68 69 71 72 73 76 78 79 80 81 83 84 85 88 89 90 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 -1 -3 -1 1 -3 : 0 1 2 4 6 7 8 10 11 12 14 15 16 18 19 20 22 23 26 28 29 30 32 33 34 35 36 37 38 39 40 42 43 44 45 47 48 49 51 52 53 55 56 57 59 61 62 65 66 68 69 71 72 73 75 77 78 81 82 85 86 89 90 92 94 95 96 98 99 100 101 102 103 105 106 107 109 +1 2 0 0 0 0 -1 0 -1 : 0 2 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 36 37 38 40 41 43 44 45 47 48 49 50 52 53 55 56 57 58 60 61 62 64 65 67 68 69 71 72 73 74 76 77 78 80 81 83 84 85 86 88 89 91 92 93 95 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 1 1 1 3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 36 38 40 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 63 65 67 68 70 71 72 73 75 76 77 79 81 83 84 85 87 89 91 93 95 97 98 99 104 105 107 108 109 110 111 +1 1 3 1 -1 1 3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 43 44 45 46 48 49 52 53 55 56 58 59 60 61 64 65 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 91 94 95 97 98 99 101 103 105 107 108 109 111 +1 1 1 3 -1 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 20 22 23 24 25 28 30 31 32 33 35 37 39 41 42 43 44 45 47 49 51 52 54 56 58 59 60 61 62 64 66 69 70 71 72 73 74 77 79 81 82 83 84 86 87 88 89 90 91 92 94 96 98 99 100 101 104 106 107 108 109 111 +1 3 3 1 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 20 21 24 25 26 27 28 29 30 31 32 33 34 35 38 40 42 43 45 50 53 58 60 61 63 65 68 69 70 71 72 73 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 0 0 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 64 65 67 70 73 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 94 97 100 101 103 105 107 109 110 111 +1 1 -3 -3 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 64 68 75 76 77 78 80 84 85 86 87 88 89 90 91 93 94 95 96 97 98 99 100 102 103 104 105 110 111 +1 0 0 0 1 -1 1 1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 21 22 23 25 26 27 28 31 32 33 34 36 39 40 41 42 45 46 47 48 51 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 84 87 88 89 90 93 94 95 96 99 101 102 103 104 107 108 109 110 +1 1 0 -1 0 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 26 27 28 29 30 31 32 33 35 39 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 106 107 108 109 110 +1 0 1 0 1 1 1 -1 1 : 0 2 4 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1 -1 -1 -3 -1 1 1 3 : 1 2 3 4 5 6 8 9 10 11 13 14 15 17 18 19 20 23 25 27 28 29 30 33 34 35 36 37 38 39 41 42 43 44 45 46 49 50 51 53 54 55 56 59 61 62 63 64 67 69 70 71 72 75 77 78 79 80 83 84 87 88 89 90 92 95 96 97 98 100 101 102 105 106 107 108 110 +1 3 -1 -1 -3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 25 27 28 29 33 34 35 36 37 38 39 40 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 87 89 90 91 92 96 97 98 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 0 0 0 0 1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 28 29 32 33 34 35 36 37 39 41 42 43 45 46 47 48 49 51 53 54 55 56 57 59 60 61 63 65 66 67 68 69 74 75 78 79 80 81 86 87 88 89 92 93 98 99 100 101 102 103 106 107 108 109 110 111 +1 1 1 1 0 1 -1 1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 17 19 20 21 23 25 27 29 30 31 33 34 35 36 38 39 41 42 44 46 47 49 50 53 54 56 57 59 61 62 64 65 67 69 70 72 73 75 77 78 80 81 83 84 85 87 88 89 90 91 92 93 95 96 97 98 99 101 103 105 106 107 109 110 111 +1 3 1 1 -1 1 1 -1 3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 25 28 29 30 32 33 35 36 37 39 41 42 44 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 69 70 72 74 75 76 77 79 81 82 84 86 87 88 89 90 91 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 0 0 0 -1 1 0 : 0 1 2 4 7 9 10 13 14 17 18 21 22 24 25 26 27 29 30 31 33 34 35 37 38 41 42 45 46 49 50 53 54 57 58 61 62 65 66 68 69 71 72 73 75 76 77 79 80 81 83 84 85 87 88 89 91 92 93 95 96 97 99 100 101 102 103 105 106 107 109 110 111 +1 3 -1 -1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 20 21 22 23 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 53 54 55 56 57 58 60 61 62 64 68 69 70 71 72 73 74 76 77 78 80 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 1 1 0 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 18 19 20 21 23 25 26 28 29 30 31 33 34 36 38 39 42 43 46 47 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 86 87 90 91 94 95 97 98 99 101 102 104 105 106 107 109 110 +1 1 0 1 0 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 60 61 63 65 69 74 76 77 78 79 80 81 82 83 84 85 87 89 92 93 94 95 96 97 98 99 101 102 103 106 107 110 111 +1 1 -1 -1 -3 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 18 19 20 22 23 25 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 46 47 48 49 51 52 53 55 57 58 60 61 63 65 66 68 69 71 73 74 76 77 79 81 82 85 86 88 90 91 93 94 96 98 99 100 101 102 103 105 106 107 110 +1 1 1 0 0 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 30 32 33 34 35 37 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 66 70 72 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 94 96 98 99 100 101 104 106 108 109 110 111 +1 1 0 1 1 0 1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 27 32 34 35 36 37 40 41 46 47 50 51 54 55 58 59 60 61 62 63 64 65 66 67 68 69 72 73 78 79 82 83 86 87 90 91 92 93 94 95 96 97 98 99 102 104 105 106 107 108 109 110 111 +1 1 1 -1 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 17 19 21 22 24 25 27 28 30 32 33 34 36 37 40 41 42 46 47 48 50 51 52 53 55 56 57 61 62 63 66 67 68 69 70 72 73 74 75 76 78 79 80 81 82 83 84 85 88 89 90 94 95 96 98 99 100 101 103 104 106 108 109 110 +1 1 0 1 0 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 63 65 66 67 68 75 76 77 78 79 80 81 82 83 87 89 90 91 92 93 94 95 96 97 98 99 101 106 107 108 109 110 111 +1 1 -1 -1 0 0 -1 0 0 : 0 1 2 3 9 14 16 18 19 20 21 22 23 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 56 57 60 61 64 65 68 69 72 73 76 77 80 81 86 87 90 91 94 95 98 99 100 101 102 103 104 105 106 107 109 110 +1 3 -1 -1 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 26 27 28 29 33 34 35 36 37 38 39 41 42 43 44 45 46 47 51 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 88 93 94 95 96 97 98 100 101 102 103 104 105 106 107 108 110 111 +1 0 0 0 0 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 36 37 38 39 40 41 42 43 44 51 52 59 60 61 62 63 64 65 66 67 68 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 99 102 103 104 105 106 107 108 109 +1 0 1 0 0 0 -1 -2 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 27 28 29 30 31 33 34 35 36 37 39 40 41 43 44 45 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 84 86 87 88 90 91 92 94 95 96 98 99 103 104 107 108 +1 1 3 -1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 47 48 52 53 54 56 57 58 59 60 64 65 66 68 69 70 71 73 74 75 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 97 98 99 100 102 105 107 108 110 +1 0 0 2 0 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 26 27 32 33 35 36 37 38 39 40 41 44 45 46 47 48 49 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 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49 51 52 54 56 57 58 59 61 63 64 66 68 69 70 71 73 75 76 78 79 80 81 82 83 85 87 88 90 92 93 94 95 97 99 100 102 103 105 106 107 108 110 +1 3 1 -1 -1 -3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 26 28 30 32 33 36 37 38 39 42 44 45 46 47 49 52 53 54 55 57 60 62 63 64 65 67 68 69 70 71 72 74 75 76 77 78 79 82 84 85 86 87 90 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +1 1 1 -1 -1 -3 3 1 -1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 22 23 24 25 26 27 29 31 32 33 37 38 39 40 41 43 46 47 48 49 54 55 56 57 60 62 63 64 65 66 68 69 70 71 72 74 75 77 78 79 80 81 83 85 86 87 88 89 91 94 95 96 97 100 101 102 103 105 107 108 109 +1 3 -1 -1 1 1 3 1 1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 25 26 27 28 29 32 35 38 39 41 42 43 45 46 47 48 49 50 51 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 84 85 87 88 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 -2 0 0 0 1 0 : 0 3 4 7 10 13 16 17 18 19 20 21 22 23 24 28 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 56 58 60 62 64 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 88 90 92 94 96 98 100 101 102 103 105 106 107 108 109 110 111 +1 0 1 0 1 0 1 -1 0 : 0 1 2 4 7 8 10 11 12 14 15 17 18 21 22 24 26 28 29 30 32 33 34 35 36 37 39 40 41 43 45 46 49 50 52 53 55 56 57 59 61 62 65 66 69 70 73 74 76 78 79 80 82 83 85 86 89 90 92 94 95 96 98 99 101 103 104 107 108 110 +1 2 0 0 0 0 -1 0 1 : 0 1 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 36 37 39 40 41 42 44 45 46 48 49 51 52 53 54 56 57 59 60 61 63 64 65 66 68 69 70 72 73 75 76 77 79 80 81 82 84 85 87 88 89 90 92 93 94 96 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -1 -3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 23 25 26 27 28 30 32 33 35 36 37 42 43 44 45 47 49 50 51 52 53 54 56 58 59 60 61 66 67 68 69 70 72 74 75 76 77 82 83 84 85 86 87 88 89 91 92 93 94 96 98 99 101 102 103 104 106 108 109 111 +1 0 0 1 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 85 88 89 91 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -3 1 -3 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 14 15 16 17 19 21 22 24 25 27 28 30 32 33 34 36 37 40 41 42 46 47 48 50 51 52 53 55 56 57 61 62 63 66 67 68 69 70 72 73 74 75 76 78 79 80 81 83 84 85 88 89 90 94 95 96 98 99 100 101 103 104 106 108 109 110 +1 1 -1 1 -1 0 1 0 -1 : 0 1 3 5 6 8 9 10 12 13 15 16 18 19 21 22 23 24 26 27 28 30 31 33 34 37 38 39 40 42 43 45 47 48 50 52 53 54 55 56 57 58 59 61 62 63 64 66 67 69 71 72 74 76 77 79 80 81 82 85 86 87 88 90 91 93 95 96 98 101 102 104 105 107 108 109 111 +1 0 1 0 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 25 27 28 29 33 35 39 40 45 46 47 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 72 73 74 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 3 1 1 -3 -1 -1 1 -1 : 0 2 4 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0 0 0 1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 29 31 32 33 34 35 36 37 42 43 46 47 48 49 54 55 56 57 60 61 66 67 68 69 71 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 92 93 95 97 98 99 100 101 102 103 105 107 108 109 110 111 +1 0 1 1 -1 -1 0 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 25 26 27 29 31 32 35 36 37 40 41 42 44 45 46 48 49 50 51 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 84 85 86 87 88 89 91 92 93 95 96 97 100 101 102 104 105 106 107 109 110 111 +1 1 -1 0 -1 0 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 24 26 27 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 50 52 54 55 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 100 101 102 104 105 108 109 111 +1 1 0 1 1 -1 -1 0 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 26 27 29 30 32 33 34 35 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 60 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 84 85 87 89 91 92 93 94 95 96 97 99 102 103 104 106 107 110 111 +1 1 1 3 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 34 35 36 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 72 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 96 100 101 102 103 104 106 110 111 +1 1 0 1 0 0 0 -2 0 : 0 3 4 7 10 13 16 17 18 19 20 21 22 23 24 28 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 56 58 60 62 64 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 88 90 92 94 96 98 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 1 0 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 24 25 27 28 29 30 31 32 34 35 38 40 41 42 43 44 46 47 48 49 50 51 53 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 80 82 83 84 85 86 87 89 92 93 94 95 98 100 102 104 105 108 109 110 +1 1 -1 -3 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 17 18 19 20 22 23 24 27 28 29 31 33 34 35 36 37 38 39 41 42 43 45 46 47 49 51 52 53 55 56 58 59 60 62 63 64 66 69 70 71 73 75 77 79 80 81 83 84 86 87 88 90 92 94 96 97 98 100 101 102 104 106 107 108 111 +1 1 -1 3 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 27 30 31 33 34 35 38 41 45 48 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 66 67 69 72 73 75 76 77 79 80 81 82 83 84 85 86 87 88 90 91 92 94 95 98 100 101 102 104 105 108 111 +1 1 1 1 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 20 21 22 25 26 30 31 32 35 39 40 44 48 49 50 53 54 55 59 63 64 69 70 71 75 79 80 84 85 86 87 89 90 91 93 94 95 99 101 102 106 107 108 111 +1 1 0 0 0 -1 0 -1 -1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 38 40 41 44 46 47 50 51 52 54 55 58 59 60 61 62 64 65 68 70 71 74 75 76 77 78 80 81 84 85 86 88 89 92 94 95 98 99 100 101 102 103 104 105 108 110 111 +1 1 -1 -1 -3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 25 27 28 30 33 34 35 36 37 38 39 40 41 42 43 47 48 52 53 54 55 57 58 59 60 64 65 66 68 69 70 71 73 74 75 76 80 81 82 85 86 87 91 92 93 94 96 97 98 99 100 101 102 105 107 108 110 +1 1 0 -1 0 0 1 1 0 : 1 2 3 4 7 9 10 13 14 16 17 18 19 20 23 24 27 28 31 32 35 37 38 39 41 42 43 45 46 47 49 50 51 52 55 56 59 60 63 64 67 69 70 71 73 74 75 77 78 79 81 82 83 84 87 88 91 92 95 96 99 100 101 102 105 106 107 108 109 110 +1 1 -1 0 -1 0 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 17 18 19 20 21 22 24 26 28 30 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 49 52 53 55 56 57 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 82 85 88 89 90 91 94 96 97 98 99 100 101 102 103 105 107 109 111 +1 3 3 -1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 38 41 45 48 49 51 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 1 1 -1 1 3 1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 26 27 28 29 30 32 33 34 35 37 39 40 41 43 45 46 47 49 51 53 54 55 57 59 60 61 62 63 65 66 67 68 70 72 73 74 76 78 79 80 82 84 86 87 88 90 92 93 95 96 98 99 102 104 106 107 108 110 111 +1 1 1 1 1 3 1 -3 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18 19 20 21 22 23 24 25 26 28 30 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 61 64 65 67 68 69 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 1 -1 -3 3 1 : 0 1 2 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 26 27 28 30 31 32 34 35 37 38 40 41 42 43 45 46 49 50 53 54 57 58 60 61 62 63 65 66 69 70 73 74 76 77 78 79 81 82 84 85 86 87 89 90 92 93 95 96 97 98 99 102 103 104 106 107 108 110 111 +1 1 1 1 -3 3 1 1 -1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 19 21 22 23 25 26 29 31 32 33 34 35 36 40 41 42 43 44 45 46 47 48 55 56 57 58 59 60 61 62 63 67 71 72 73 74 75 76 77 78 79 83 85 86 87 88 89 90 91 92 93 94 97 98 99 101 102 105 107 108 109 110 111 +1 1 -3 -1 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 26 27 28 29 30 32 33 34 35 37 38 39 40 41 42 43 45 47 49 50 51 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 75 76 78 80 82 83 84 86 88 90 91 92 93 94 96 98 100 101 104 105 107 108 109 +1 1 3 -1 -1 3 -1 -1 1 : 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27 29 30 31 35 36 37 39 41 42 45 46 48 50 51 52 53 55 57 58 61 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 82 84 86 87 88 89 91 92 93 95 97 98 100 101 102 103 105 106 107 111 +1 0 0 1 0 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 13 14 15 16 17 18 19 20 24 26 27 28 31 32 33 35 36 39 41 42 43 44 47 49 50 51 52 53 54 56 59 60 61 62 64 67 68 71 73 74 75 76 79 81 82 83 84 85 86 88 91 92 93 94 96 99 100 102 103 104 107 108 109 111 +1 1 1 -1 1 0 1 0 -1 : 0 1 3 5 6 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 38 41 43 44 46 47 49 50 51 52 53 54 56 57 59 60 62 65 67 68 70 71 73 74 75 76 77 78 79 80 81 82 83 84 86 89 91 92 94 95 97 98 99 100 102 104 105 107 108 109 110 +1 1 -1 -1 -1 -1 1 3 3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 39 40 41 42 43 44 45 46 47 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 86 87 88 89 92 93 96 97 98 99 100 101 102 104 105 106 107 108 +1 3 -1 1 -1 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 26 27 28 30 32 34 36 37 40 41 43 44 45 46 48 49 52 53 55 56 57 58 59 60 61 64 65 67 68 69 70 72 73 77 78 79 80 81 82 84 85 88 89 91 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 -1 -1 1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 86 87 88 89 92 93 96 97 98 99 100 101 102 104 105 106 107 108 +1 1 0 1 0 0 0 1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 20 21 22 23 24 28 29 30 31 35 38 39 40 41 44 45 50 51 53 54 55 56 57 59 60 61 63 65 66 67 68 69 74 75 78 79 80 81 84 85 87 89 90 91 93 94 95 96 97 99 101 102 103 106 107 108 109 110 111 +1 1 1 1 -3 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 12 14 15 16 17 18 19 21 25 26 27 28 29 31 34 35 37 39 41 42 43 44 46 48 50 51 52 53 55 57 59 60 61 62 64 66 68 69 71 73 75 76 77 78 80 82 84 85 86 87 88 89 91 93 94 95 96 97 98 101 102 103 104 105 107 110 111 +1 1 1 -1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 18 19 22 23 24 25 26 27 30 31 36 37 39 41 45 50 53 58 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 84 85 87 89 93 98 100 101 102 103 106 107 +1 0 1 -1 0 0 0 0 -2 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 56 59 60 63 65 66 68 71 73 74 77 78 80 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 105 106 111 +1 1 3 1 -1 1 3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 42 44 45 47 48 49 52 53 54 57 58 59 60 61 64 65 66 70 71 72 74 75 77 78 79 82 83 84 86 87 88 89 90 91 94 95 96 98 99 101 103 104 106 108 109 111 +1 1 -1 1 3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 39 41 42 43 44 45 46 47 48 49 50 52 59 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 76 77 78 80 87 89 90 91 92 93 94 95 96 97 98 101 102 103 104 105 110 111 +1 1 -1 0 1 0 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 17 18 19 20 21 22 24 25 26 27 28 30 33 35 36 37 38 39 43 44 45 46 47 49 50 51 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 88 89 90 91 95 96 97 98 99 100 102 105 107 108 109 110 111 +1 3 -1 1 -3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 64 68 69 70 71 72 73 74 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +1 3 -1 1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 25 28 30 32 33 34 37 42 44 45 46 47 48 49 50 51 52 53 55 57 60 61 62 63 64 65 66 67 70 72 74 75 76 77 78 79 80 81 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 0 0 2 1 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 45 47 49 51 52 54 56 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 79 81 83 84 86 88 90 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 1 3 1 3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 24 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2 3 5 6 7 11 12 13 14 15 16 17 18 19 21 22 23 24 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 105 106 111 +1 1 1 -1 0 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 34 36 37 38 40 43 44 45 46 48 51 52 55 57 58 59 60 63 65 66 67 68 69 70 71 72 73 74 76 77 78 79 80 81 82 84 85 86 88 91 92 93 94 96 99 100 101 102 103 104 105 106 110 +1 1 -1 -1 1 -1 1 -3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 25 27 28 29 30 31 33 35 36 37 38 39 42 43 44 45 46 48 49 50 51 54 55 56 57 60 61 62 63 66 67 70 71 72 73 76 77 78 79 82 83 84 85 88 89 90 91 94 95 96 97 100 102 104 105 106 107 108 110 +1 1 -3 -1 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 27 28 29 30 31 33 34 35 36 37 38 39 41 42 43 45 46 47 50 51 53 54 55 58 59 62 63 64 66 67 68 70 71 72 73 75 76 77 79 80 81 84 85 87 88 89 92 93 96 97 98 100 101 102 103 106 107 108 +1 1 -1 3 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 29 31 32 33 34 35 36 43 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 71 73 74 75 77 78 79 80 81 82 83 84 85 86 87 88 89 90 92 93 94 96 100 101 102 103 104 106 111 +1 1 1 -1 -3 1 1 -1 -3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 16 17 19 20 21 24 25 28 29 30 32 33 34 37 38 40 42 43 45 46 48 50 51 52 53 55 57 58 60 61 63 65 66 68 70 71 72 73 74 75 76 78 79 80 81 83 85 86 88 90 91 93 94 96 98 99 100 101 104 105 106 108 109 110 +1 1 -1 -1 -1 -3 1 -3 -1 : 0 1 3 5 6 7 8 9 10 12 13 15 16 17 18 20 21 23 26 27 28 30 31 33 34 35 36 37 38 39 40 41 42 44 46 47 49 50 51 52 54 55 57 58 59 60 62 65 67 68 70 71 73 74 75 76 78 81 83 84 86 89 91 92 93 94 96 97 99 100 101 102 104 105 107 108 109 +1 0 0 0 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 18 21 23 26 28 31 33 37 39 40 42 45 47 48 50 53 55 56 58 61 63 64 66 69 71 72 74 77 79 80 82 85 87 88 90 93 95 96 98 102 104 107 109 +1 1 -1 1 -1 -3 -1 3 1 : 0 1 3 4 5 6 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 37 39 40 41 42 45 47 48 50 52 53 54 55 57 58 59 60 61 63 64 65 66 69 71 72 74 77 78 79 80 82 83 84 85 87 88 89 90 93 95 96 98 101 102 103 104 106 107 109 111 +1 0 0 0 2 1 0 -1 0 : 0 3 4 5 6 8 9 10 11 12 13 14 15 16 18 21 23 25 26 28 31 33 34 36 37 38 39 41 43 44 46 48 49 50 51 52 53 54 55 57 59 60 62 64 65 66 67 68 69 70 71 73 75 76 78 80 81 82 83 84 85 86 87 89 91 92 94 96 97 98 99 101 102 104 107 109 110 +1 3 1 3 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 35 38 41 45 48 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 66 67 68 70 71 74 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 3 3 -1 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 43 47 48 55 56 60 64 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 -1 3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 35 39 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 106 107 108 109 110 +1 1 1 0 1 -1 -1 1 0 : 0 1 2 4 5 6 8 9 11 12 13 16 17 18 21 22 23 24 26 27 29 30 31 34 35 37 38 40 42 43 44 45 47 49 50 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 77 78 79 80 81 83 84 85 87 89 90 92 93 94 95 96 97 99 100 102 103 105 106 107 110 111 +1 0 2 0 -1 0 0 1 0 : 0 3 4 7 8 9 10 11 12 14 15 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 38 40 42 44 45 46 47 48 49 50 51 52 54 56 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 79 81 83 84 85 86 87 88 89 90 91 93 95 97 99 101 104 107 110 +1 3 -1 -1 1 1 3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 25 26 27 30 31 32 35 38 39 40 42 43 44 46 47 48 49 50 51 53 54 55 58 59 62 63 64 66 67 69 70 71 74 75 78 79 80 82 83 84 85 86 89 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 1 -1 -1 -1 1 -3 3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 24 25 26 28 29 30 31 32 36 37 38 39 42 43 46 47 48 49 54 55 56 57 60 61 64 65 66 67 68 69 70 72 73 74 75 76 77 78 79 82 83 84 85 86 87 90 91 94 95 96 97 100 101 102 104 105 106 107 108 +1 3 1 -1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 25 27 30 31 33 34 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 63 64 65 66 67 69 72 73 75 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 0 2 0 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 17 18 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 43 44 45 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 84 86 87 88 90 91 92 94 95 96 98 99 103 104 107 108 +1 1 -3 3 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 43 44 45 46 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 78 79 80 81 82 83 84 91 92 93 94 96 100 102 103 104 106 110 111 +1 1 -1 1 -1 -1 1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 18 19 20 21 22 24 27 28 29 30 31 33 34 36 37 38 39 42 43 46 47 48 49 52 53 54 55 56 57 58 59 60 61 62 63 66 67 70 71 72 73 76 77 80 81 82 83 84 85 86 87 90 91 94 95 96 97 101 102 104 105 106 107 108 111 +1 0 1 1 0 -1 0 0 1 : 1 2 4 5 7 8 11 12 15 16 17 18 20 21 22 25 26 27 28 30 31 32 34 35 37 38 40 41 42 43 44 47 48 49 50 51 53 54 57 58 60 63 64 67 69 70 73 74 76 79 80 83 84 85 86 87 89 90 92 93 94 95 96 99 100 102 105 106 109 111 +1 0 1 0 -2 0 0 1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 24 25 26 27 29 30 31 32 33 34 35 37 39 41 43 44 45 46 47 48 49 50 51 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 101 104 107 110 +1 1 -1 1 1 3 -3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 24 25 26 27 30 31 32 33 38 39 40 41 44 46 47 48 49 50 52 54 55 56 57 58 60 61 63 64 65 66 67 69 70 71 72 73 75 78 79 80 81 86 87 88 89 92 94 95 96 97 98 102 103 104 105 108 109 110 111 +1 1 1 1 1 -1 1 3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 26 28 29 30 31 32 34 35 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 70 71 72 73 76 77 78 79 82 83 84 85 86 87 90 91 92 93 95 96 97 98 99 102 104 105 106 107 108 110 111 +1 3 3 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 39 40 45 46 47 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 3 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 76 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 105 107 108 109 110 111 +1 1 1 -1 0 0 1 1 -1 : 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18 20 23 24 25 26 29 31 32 33 34 36 37 38 39 43 47 48 49 50 51 52 53 54 55 56 60 64 65 66 67 68 69 70 71 73 74 75 77 78 79 80 81 82 83 84 85 86 87 91 95 96 97 98 99 100 101 102 105 107 108 109 110 +1 1 1 -1 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 36 37 38 40 43 45 46 47 48 49 50 53 54 55 56 57 58 60 63 65 66 67 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 93 94 95 96 97 98 100 101 105 106 107 108 109 +1 2 0 -1 0 0 0 0 1 : 1 2 5 6 11 12 16 17 18 19 21 22 23 24 29 30 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 56 59 60 63 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 89 90 93 94 96 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 25 29 31 32 33 34 35 36 43 44 45 46 47 48 49 50 51 55 57 58 59 60 61 62 63 64 65 66 71 73 74 75 76 77 78 79 80 81 82 85 86 87 88 89 90 91 92 93 94 96 100 101 102 103 104 106 110 +1 3 1 1 3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 84 86 87 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 1 -1 3 -1 3 : 0 2 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 25 27 29 30 31 32 33 35 36 37 38 39 40 42 45 46 47 48 49 50 51 52 54 57 59 60 61 62 63 64 66 68 70 73 75 76 77 78 79 80 82 85 87 88 89 90 91 92 94 97 99 100 102 103 104 105 106 108 110 +1 1 -1 1 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 69 71 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 96 98 104 105 107 108 109 110 111 +1 1 0 0 0 1 1 0 -1 : 0 1 3 4 5 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 36 38 40 42 43 45 47 49 50 51 53 55 57 58 59 60 62 64 66 67 69 71 73 74 75 76 78 80 82 83 84 86 88 90 91 93 95 97 98 99 100 101 104 105 107 108 109 110 111 +1 1 0 1 1 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 14 15 16 17 18 19 20 22 23 24 25 28 31 34 35 37 39 41 43 44 46 48 50 52 54 56 58 60 61 62 63 64 65 66 67 69 71 73 75 76 78 80 82 84 86 88 90 92 93 94 95 96 97 98 99 102 103 104 105 106 108 109 110 111 +1 1 0 1 -1 1 1 0 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 25 26 27 29 30 32 33 34 35 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 58 59 60 62 64 66 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 91 93 95 97 98 99 101 104 105 107 108 109 111 +1 1 -1 -3 3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 40 44 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 64 68 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 110 111 +1 0 0 1 0 1 -1 0 -1 : 0 2 3 4 5 7 8 9 11 12 14 15 17 18 19 21 23 24 26 27 29 30 32 33 35 36 38 39 40 42 45 46 47 49 51 52 54 56 57 58 61 63 64 65 67 69 70 71 73 75 76 78 79 80 82 85 87 88 89 91 92 94 96 97 98 100 102 103 105 106 108 109 111 +1 0 1 1 0 0 1 1 0 : 1 2 3 4 7 9 10 13 14 16 19 20 21 22 23 25 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 45 46 48 49 50 52 55 56 59 60 63 64 67 68 71 72 75 76 79 80 83 85 86 87 89 90 91 93 94 95 97 98 99 100 103 104 107 108 111 +1 0 2 0 -1 0 0 0 -1 : 1 2 5 6 8 9 10 12 13 14 15 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 39 41 42 44 45 46 47 48 49 50 51 53 54 56 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 78 80 83 84 85 86 87 88 89 90 91 92 95 97 98 101 105 106 110 +1 1 1 -3 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 19 21 22 23 24 25 27 28 29 30 33 35 36 39 40 41 42 45 46 47 48 51 52 55 56 57 58 61 62 63 64 67 68 69 70 72 73 74 75 76 79 80 81 82 84 85 86 89 90 91 92 95 96 97 98 100 101 103 104 105 106 109 111 +1 1 -1 0 0 0 2 0 0 : 0 1 2 3 9 14 17 22 24 25 26 27 28 29 30 31 32 33 34 35 38 39 42 43 46 47 50 51 54 55 58 59 62 63 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -1 1 1 -1 1 -3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 27 28 30 31 33 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 62 63 64 66 67 68 69 70 73 74 75 76 78 80 81 82 84 86 88 89 90 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 0 0 0 1 -1 1 0 1 : 0 2 3 4 5 7 8 10 12 13 14 16 17 19 20 22 23 25 26 27 29 30 32 33 34 37 39 40 41 43 45 46 47 49 51 52 54 56 57 58 60 62 63 64 66 68 70 72 73 74 76 78 79 80 82 85 87 88 89 91 93 94 95 97 99 101 102 103 105 106 108 109 110 +1 0 0 1 0 -1 1 1 0 : 1 2 3 4 5 6 8 9 10 13 14 15 16 19 20 21 22 24 26 27 28 31 32 33 35 36 39 40 41 42 44 47 48 49 50 53 54 55 56 59 61 62 63 64 67 68 71 72 73 74 76 79 80 81 82 85 86 87 88 91 93 94 95 96 99 100 102 103 104 107 108 109 111 +1 1 -3 1 1 1 1 -1 3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 28 29 31 32 33 34 35 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 66 67 68 69 71 73 74 77 78 80 82 83 85 86 88 90 91 92 94 95 96 97 99 104 105 106 108 109 110 111 +1 1 -3 -1 -3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 49 52 53 54 55 56 57 58 59 61 66 68 69 71 73 76 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 101 102 103 105 107 110 +1 1 -1 -1 -1 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 26 27 28 30 31 34 35 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 61 62 63 64 65 66 68 69 70 72 74 77 78 79 80 81 82 85 86 87 88 89 90 93 95 97 98 99 100 101 104 105 107 108 109 +1 1 0 -1 0 -1 0 1 0 : 0 3 4 5 6 8 10 13 15 17 18 19 20 22 23 24 26 28 31 33 35 36 37 38 39 41 43 44 45 46 47 49 51 53 55 56 58 61 63 64 66 68 69 70 71 73 75 76 77 78 79 81 83 85 87 88 90 93 95 96 98 100 101 102 103 105 106 107 108 110 +1 3 -1 1 1 1 3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 27 28 30 32 36 38 39 42 43 46 47 49 50 51 54 55 57 58 59 61 62 63 64 65 66 67 68 69 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 3 -1 -1 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 27 28 29 31 33 34 35 36 37 38 39 41 42 43 45 46 47 49 51 53 54 55 57 59 61 63 64 65 67 69 70 71 73 75 77 79 80 81 83 85 87 88 89 91 92 93 95 96 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 -1 3 -3 -1 1 1 : 0 1 4 5 6 7 8 9 10 11 12 13 14 16 18 19 22 23 25 26 28 29 32 33 34 35 36 37 39 40 42 43 44 45 46 47 48 49 51 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 86 88 89 90 91 92 93 94 95 98 100 101 102 103 106 107 109 110 +1 3 -1 -1 3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 25 27 29 31 33 34 35 36 38 39 42 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 1 0 0 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 34 35 36 37 42 43 44 45 50 51 52 53 58 59 60 61 66 67 68 69 70 71 72 73 76 77 78 79 80 81 84 85 86 87 88 89 92 93 94 95 96 97 100 101 102 103 104 105 106 107 110 111 +1 1 -1 -1 1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 19 21 22 23 25 26 27 29 31 32 33 35 36 38 39 40 41 42 44 45 46 47 48 49 50 51 54 55 56 57 60 62 63 64 65 66 70 71 72 73 76 78 79 80 81 82 85 86 87 88 89 91 94 95 96 97 100 102 103 104 106 108 109 110 +1 1 -1 1 -1 1 1 -1 3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 26 27 29 30 31 34 36 37 39 41 42 44 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 68 70 71 72 73 75 77 78 80 82 83 84 85 87 89 90 92 94 95 96 97 99 101 104 105 106 108 109 111 +1 1 -1 -1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 19 21 22 23 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 52 53 54 56 60 67 68 69 70 72 76 83 84 91 95 97 98 99 100 101 102 103 104 106 +1 1 1 -1 -1 0 1 1 0 : 1 2 3 4 7 8 9 10 11 12 15 16 17 18 19 20 23 24 25 26 29 30 31 32 33 37 38 39 41 42 43 44 47 48 51 52 55 56 59 60 61 62 64 65 66 68 69 70 71 72 73 74 75 77 78 79 81 82 83 85 86 87 89 90 91 92 95 96 99 100 101 102 105 106 107 108 109 +1 1 1 -1 -1 -3 1 3 -1 : 0 1 3 4 5 6 8 9 10 12 13 15 16 17 18 20 21 23 24 25 26 28 29 31 32 33 37 38 39 40 42 43 45 47 48 50 53 55 56 58 60 61 63 64 65 66 68 69 70 71 72 73 75 77 78 79 80 82 83 85 86 87 88 90 91 93 95 96 98 100 101 102 104 105 107 108 109 +1 1 -1 1 1 -3 1 1 3 : 1 2 3 4 5 7 8 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 33 36 39 40 43 45 46 47 49 50 51 53 54 55 57 58 59 60 61 62 63 64 65 66 68 69 70 72 73 74 76 79 80 83 84 87 88 91 93 94 95 97 98 99 102 105 106 107 108 109 110 111 +1 3 1 1 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 35 36 39 41 42 43 45 46 47 48 49 50 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 85 86 87 88 89 90 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 0 0 1 0 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 17 18 19 20 21 22 25 27 28 29 30 31 32 34 37 40 41 42 43 46 48 49 50 51 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 85 88 89 90 91 94 96 97 98 99 101 103 104 105 106 107 108 110 +1 1 -1 1 -3 1 -1 3 -1 : 0 2 3 4 5 7 8 9 10 11 12 14 15 17 18 19 21 23 24 25 26 28 30 31 32 34 37 39 40 41 43 44 46 48 49 50 52 53 55 56 57 58 59 60 61 62 65 66 67 69 70 71 73 75 76 78 79 80 82 85 87 88 89 91 92 94 96 97 98 101 103 104 105 107 109 110 111 +1 1 -1 -3 1 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 20 21 22 23 24 25 29 30 31 32 33 35 36 37 38 40 43 44 45 46 47 48 49 50 52 53 54 56 59 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 84 87 89 90 91 92 93 94 96 99 100 102 103 104 105 106 110 111 +1 0 1 -1 1 0 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 26 30 31 32 33 34 36 37 38 39 40 44 45 46 47 51 52 53 54 55 56 57 58 60 61 62 63 64 68 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 88 92 93 94 95 99 100 101 103 104 105 106 107 108 110 111 +1 1 1 -1 1 1 -1 -3 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 27 28 30 31 33 34 36 37 39 40 42 43 44 46 47 48 50 53 55 56 57 59 60 61 63 64 66 67 68 70 71 72 74 76 78 80 81 82 84 85 87 88 90 91 92 94 95 96 98 100 103 104 106 107 109 110 +1 1 -1 1 3 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 24 25 29 30 31 32 33 34 36 37 38 40 43 44 45 46 48 51 53 54 55 56 57 58 60 61 62 63 64 65 66 68 71 73 74 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98 99 100 101 102 103 104 105 108 111 +1 1 0 0 0 0 1 1 1 : 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 39 40 41 42 43 44 45 46 47 51 52 53 54 55 59 63 64 65 66 67 68 69 70 71 75 79 80 81 82 83 87 88 89 90 91 92 93 94 95 99 100 101 102 106 107 108 109 110 111 +1 1 1 -1 -1 1 -1 -3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24 25 27 28 29 30 31 33 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 68 69 70 71 72 74 75 76 77 80 81 82 83 84 85 88 89 90 91 94 95 96 97 100 101 103 104 105 106 107 109 +1 1 -1 0 -2 0 0 0 0 : 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 -1 -3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 35 37 38 39 43 44 45 46 48 49 50 51 55 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 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110 +1 1 1 -1 -3 -1 -1 1 3 : 0 1 2 4 5 6 8 9 10 11 13 14 15 18 19 20 22 23 24 25 26 27 29 30 31 34 36 37 39 41 42 44 45 47 49 50 53 54 56 58 59 61 62 64 66 67 68 69 70 71 72 73 75 76 78 79 80 81 83 84 85 87 89 90 92 93 95 97 98 100 101 102 103 105 106 107 110 +1 1 -1 1 -3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 25 28 30 32 33 34 36 37 38 39 40 41 43 46 48 50 51 52 53 54 55 56 57 58 59 61 66 68 69 71 73 76 78 79 80 81 82 83 84 85 86 87 88 89 91 94 96 98 99 101 102 103 105 107 110 111 +1 1 1 -1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 28 29 31 32 36 38 40 41 42 44 45 46 49 50 51 52 53 54 57 58 59 61 62 63 65 67 68 70 71 72 74 76 78 80 81 82 84 86 88 89 90 92 93 94 97 98 99 100 101 102 104 105 107 108 +1 1 3 -1 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 27 28 29 30 31 32 34 35 37 38 39 40 41 42 47 48 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 71 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 105 107 108 109 +1 0 1 -2 0 -1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 102 109 111 +1 3 1 1 -1 -1 1 1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 25 26 29 30 31 32 35 36 39 40 41 42 44 45 46 49 50 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 85 86 87 89 90 91 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 1 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 25 27 30 31 32 33 35 36 37 39 40 42 43 44 45 48 49 51 52 54 55 58 59 60 61 63 64 66 67 68 70 71 74 75 76 77 79 80 82 83 86 87 89 90 91 92 94 95 98 99 101 103 106 107 108 109 111 +1 1 0 0 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 37 38 39 41 43 44 46 47 48 50 52 54 55 56 58 61 62 63 65 67 68 70 71 72 74 77 78 79 81 83 85 86 87 89 91 92 94 95 96 98 100 101 102 104 105 107 108 110 111 +1 1 -3 -1 1 1 1 3 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 25 26 27 28 29 30 32 33 34 35 37 39 41 42 43 45 46 47 48 49 50 51 52 53 55 57 59 61 63 65 66 67 68 70 72 74 75 76 78 79 80 81 83 84 85 86 88 90 92 94 96 98 99 100 104 106 107 108 109 110 +1 1 1 -1 0 0 1 1 1 : 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18 19 23 24 25 26 30 31 32 33 34 39 40 41 42 43 44 45 46 47 51 52 56 57 58 59 60 61 62 63 64 69 70 71 72 73 74 75 76 77 78 79 81 82 83 87 88 89 90 91 92 93 94 95 99 100 101 102 106 107 108 109 110 +1 2 0 -1 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 24 29 30 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 55 57 58 61 62 64 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 88 91 92 95 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 -1 0 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 29 31 32 33 36 37 38 39 43 44 45 46 47 48 52 53 54 55 56 60 61 62 63 64 65 66 68 69 70 71 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 103 104 105 106 107 108 110 111 +1 1 0 0 0 -2 0 -1 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 26 28 31 33 36 37 38 39 41 43 44 45 46 47 49 51 52 53 54 55 57 59 60 61 62 63 65 67 68 69 70 71 73 75 76 77 78 79 81 83 84 85 86 87 89 91 92 93 94 95 97 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 0 -2 0 -1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 26 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 0 2 0 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 44 45 46 48 49 51 52 53 54 56 57 59 60 61 63 64 65 66 68 70 71 73 74 75 77 78 79 80 82 83 85 86 87 88 90 91 92 94 95 97 98 99 103 105 106 108 +1 1 -1 1 -1 -1 3 -3 1 : 0 1 2 4 5 7 9 10 11 13 14 15 16 17 18 20 21 22 24 27 28 29 31 32 33 34 36 37 38 39 41 42 45 46 49 50 52 54 55 56 57 58 59 60 61 62 63 65 66 69 70 73 74 77 78 80 81 82 83 84 85 86 87 89 90 93 94 97 98 101 102 103 104 106 107 108 111 +1 1 1 -1 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 28 29 31 37 39 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 64 66 68 69 71 73 75 77 79 81 82 83 85 87 89 90 91 93 94 95 96 97 98 100 101 102 103 104 105 107 +1 1 0 0 0 1 1 0 1 : 0 2 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 37 39 41 42 43 44 46 48 50 51 52 54 56 58 59 61 63 65 66 67 68 70 72 74 75 77 79 81 82 83 85 87 89 90 91 92 94 96 98 99 100 101 104 106 107 108 109 110 111 +1 1 -3 -1 -1 3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 40 41 42 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 68 69 71 72 74 75 76 77 78 79 82 84 85 86 87 90 92 93 94 95 97 100 101 102 104 106 108 109 +1 1 1 1 -1 0 1 0 1 : 0 2 3 5 6 8 9 10 11 13 15 16 18 20 21 22 23 25 26 28 30 31 32 33 35 37 39 40 42 44 45 47 48 49 50 53 54 55 56 58 59 61 63 64 66 69 70 71 72 74 75 77 79 80 82 84 85 86 87 88 89 90 91 93 94 95 96 98 99 101 102 104 106 107 108 109 111 +1 0 1 -1 0 2 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 109 111 +1 1 -3 -1 1 -1 1 1 -3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 25 26 27 28 30 31 32 33 34 35 37 38 39 40 43 44 45 46 47 49 50 51 52 55 56 57 58 61 62 63 64 67 69 70 71 72 75 76 77 78 81 82 83 84 87 88 89 90 93 94 95 96 99 100 102 105 106 107 108 110 +1 1 1 1 3 -1 1 -1 3 : 0 1 2 5 6 7 8 9 10 12 13 14 15 16 18 19 20 22 25 26 28 29 30 32 34 35 37 38 40 41 43 45 46 48 49 51 52 54 55 57 58 60 62 63 65 66 68 70 71 73 74 76 78 79 81 82 84 85 87 88 90 91 92 93 94 95 96 98 99 101 102 104 105 106 108 110 111 +1 1 1 0 -1 0 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 17 18 19 20 21 22 24 25 26 28 30 32 33 35 36 37 38 39 42 44 45 46 47 49 54 56 57 58 59 61 64 65 66 67 68 69 70 71 72 74 75 76 77 78 79 82 84 86 87 88 89 90 91 94 96 97 98 99 100 101 102 104 106 108 109 111 +1 1 3 1 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 47 48 52 53 54 56 57 58 59 61 62 63 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 96 97 98 99 101 102 105 107 108 110 111 +1 3 1 1 1 -3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 26 29 31 32 33 34 35 37 38 39 40 41 42 44 45 46 47 48 52 53 54 55 56 60 61 62 63 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 0 1 2 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 110 111 +1 1 -1 -1 0 1 -1 -1 0 : 1 2 3 4 5 6 8 9 10 13 14 15 16 19 20 21 22 25 26 29 30 31 32 34 35 36 37 38 40 41 42 43 44 45 46 48 49 50 51 52 55 56 57 58 60 63 64 65 66 68 71 72 73 74 76 79 80 81 82 85 86 87 88 91 93 94 95 96 99 100 101 103 104 105 106 109 110 +1 1 3 1 -3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 24 25 26 27 28 29 30 31 32 33 35 39 40 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 64 65 66 67 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 93 94 95 99 101 102 106 107 108 110 111 +1 1 -3 1 -1 -1 -1 3 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 25 26 27 28 29 30 32 33 34 35 36 37 39 41 43 45 47 49 50 51 52 53 54 55 56 57 59 60 61 63 65 67 68 69 70 72 74 76 78 80 82 83 85 86 87 88 89 90 92 93 94 96 98 101 102 103 104 106 107 111 +1 0 2 -1 0 0 -1 0 0 : 0 1 2 3 9 14 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 38 39 42 43 46 47 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 88 89 92 93 96 97 100 103 108 111 +1 1 -1 -1 1 1 -1 3 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 25 26 28 29 31 32 35 37 38 39 41 43 45 47 48 49 51 52 53 54 57 58 59 61 62 63 65 67 68 69 70 73 74 75 77 78 79 81 83 84 86 88 89 90 92 93 94 97 98 99 100 103 104 106 107 109 110 +1 1 3 1 -1 3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 43 44 45 46 47 48 52 53 54 57 58 59 60 61 62 63 67 71 72 73 74 75 76 80 81 82 83 85 86 87 88 89 90 91 95 96 97 98 99 101 102 105 107 108 109 111 +1 0 1 0 0 0 1 2 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 28 29 30 31 32 33 34 35 36 38 39 40 42 43 44 46 47 48 50 51 52 54 55 56 58 59 60 62 63 64 66 67 68 69 71 72 73 75 76 77 79 80 81 83 84 85 87 88 89 91 92 93 95 96 97 99 103 104 107 108 +1 0 1 -1 0 -1 0 1 0 : 0 3 4 5 6 8 10 13 15 17 18 19 20 22 23 24 25 26 27 29 30 31 32 34 37 39 40 42 45 47 48 50 52 54 56 57 58 59 60 62 64 65 66 67 68 69 70 71 73 75 76 77 78 79 81 83 85 87 88 90 93 95 96 98 100 102 104 107 109 111 +1 0 0 0 0 2 0 -1 -1 : 0 1 2 3 4 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 39 40 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 63 64 66 67 69 70 71 72 73 74 76 77 79 80 82 83 84 85 87 88 90 91 93 94 95 96 97 98 102 104 105 106 107 109 +1 1 -1 -1 1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 25 26 27 30 31 32 33 35 36 37 38 40 42 43 44 45 46 47 48 49 50 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 87 89 90 91 92 93 98 99 100 102 103 104 105 108 109 110 +1 1 -1 -3 -3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 49 52 53 55 57 60 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 82 85 90 92 93 94 95 96 97 98 99 100 101 102 103 105 107 110 111 +1 1 3 1 1 1 1 1 3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 40 43 44 47 49 50 51 52 55 57 58 59 61 62 63 64 65 66 68 69 70 72 75 76 79 81 82 83 84 87 89 90 91 93 94 95 96 97 98 99 105 106 107 108 109 110 111 +1 0 0 1 -1 2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 109 110 111 +1 0 0 0 1 0 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 17 18 19 20 21 22 25 27 28 29 30 31 32 34 36 37 38 39 41 44 45 46 47 50 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 84 85 86 87 89 92 93 94 95 98 101 103 104 105 106 107 108 110 +1 1 1 1 0 -1 1 -1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 16 18 19 20 22 25 26 28 29 30 32 34 35 37 38 40 41 43 45 46 48 49 51 52 54 55 57 58 60 62 63 65 66 68 70 71 73 74 76 78 79 81 82 84 85 86 87 88 90 91 92 93 94 95 96 98 99 101 102 104 105 106 108 110 111 +1 0 0 1 0 -2 0 1 0 : 0 3 4 5 6 7 8 10 13 15 16 17 19 20 21 22 23 24 26 28 31 33 35 37 39 40 41 42 43 45 47 48 49 50 51 52 53 54 55 56 58 60 61 62 63 64 66 69 71 72 73 74 75 77 79 80 81 82 83 84 85 86 87 88 90 92 93 94 95 96 98 100 102 104 107 109 111 +1 1 1 -1 -1 -1 0 -1 0 : 0 3 5 6 7 9 11 12 13 14 15 17 19 20 21 22 23 24 25 26 27 28 29 30 32 36 37 38 39 40 42 44 46 49 51 52 54 57 59 61 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 82 84 85 86 87 88 90 92 94 97 99 100 101 102 103 104 105 106 108 +1 0 2 1 0 0 -1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 55 58 59 62 63 66 67 68 69 72 73 76 77 80 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 103 108 111 +1 1 -1 -1 1 0 1 0 1 : 0 2 3 5 6 8 10 12 13 14 15 16 17 18 19 21 23 25 26 27 28 29 31 33 35 36 38 39 41 42 43 44 45 46 47 48 49 50 51 52 54 57 59 60 62 63 65 66 67 68 70 73 75 76 78 79 81 82 83 84 85 86 88 89 91 92 94 97 99 100 102 104 106 107 108 109 110 +1 1 0 -1 -1 -1 0 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 28 29 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 50 51 52 54 55 58 59 62 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 84 85 86 88 89 92 93 96 97 99 100 101 102 103 104 105 108 +1 0 0 2 1 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 27 32 34 35 36 37 38 39 40 41 42 43 46 47 50 51 52 53 56 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 79 82 83 84 85 88 89 92 93 94 95 96 97 98 99 100 101 103 108 110 111 +1 1 0 -1 0 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 45 48 49 51 52 53 54 55 56 57 58 59 62 65 69 72 73 75 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 101 103 106 107 109 110 +1 1 -1 1 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 17 18 20 22 23 24 25 26 27 29 31 32 34 36 37 40 41 42 46 47 48 50 51 52 53 54 56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 73 77 78 79 82 83 84 85 88 89 90 94 95 96 98 99 101 103 104 106 108 109 110 111 +1 1 1 3 -1 -3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 18 19 20 21 22 24 25 26 28 29 32 33 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 68 70 71 72 73 75 78 80 81 82 83 84 85 86 87 88 90 91 92 93 94 95 98 100 101 102 104 105 108 109 111 +1 0 1 0 0 -1 0 -2 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 41 43 44 45 46 47 49 51 52 53 54 55 57 59 60 61 62 63 65 67 68 70 72 73 74 75 76 78 80 81 82 83 84 86 88 89 90 91 92 94 96 97 98 99 102 104 107 109 +1 1 -2 0 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 -1 -1 -3 -1 -1 3 : 1 2 3 4 5 7 8 11 12 13 14 15 16 19 20 21 22 23 26 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 48 49 50 52 53 54 56 57 58 60 63 64 67 68 69 70 72 73 74 76 79 80 83 84 87 88 91 93 94 95 97 98 99 100 101 102 103 104 105 106 109 +1 1 1 -3 -1 -1 1 1 -3 : 1 2 3 4 5 6 9 10 11 12 15 16 17 18 20 21 22 23 24 25 26 29 30 31 32 35 37 38 39 40 43 44 47 48 49 50 53 54 55 56 59 60 63 64 65 66 68 69 70 71 73 74 75 77 78 79 80 83 84 85 86 89 90 91 93 94 95 96 99 100 101 102 105 106 107 108 111 +1 3 1 -1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 24 26 27 28 29 31 34 37 39 41 42 43 44 45 47 49 51 53 54 55 56 57 58 61 63 65 66 67 68 69 71 73 75 76 77 78 79 80 81 83 85 87 89 90 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 1 0 0 0 -2 0 1 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 30 31 32 33 34 35 36 38 39 41 42 43 45 46 47 48 50 51 53 54 55 56 58 59 60 62 63 65 66 67 68 69 71 72 73 74 76 77 78 80 81 83 84 85 86 88 89 91 92 93 95 96 97 98 103 105 106 108 +1 2 0 1 0 1 0 0 0 : 4 5 6 7 8 15 17 18 19 20 21 22 23 24 26 33 35 40 41 42 43 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 0 0 0 -1 0 : 0 3 4 7 10 13 18 21 28 31 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 -1 -1 3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 26 28 30 32 33 37 40 41 42 43 44 45 47 48 50 51 52 53 55 56 58 59 60 61 62 63 66 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 98 99 100 101 102 104 106 108 109 +1 0 0 1 0 0 0 -1 2 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 20 22 23 24 28 29 30 31 35 36 37 38 40 42 43 44 46 47 48 49 50 53 54 55 56 57 59 60 61 63 65 66 67 68 70 71 72 73 74 76 77 78 80 82 83 84 85 87 89 90 91 93 94 95 96 97 99 100 104 105 106 107 111 +1 1 -1 -3 -1 -1 -1 -3 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 21 22 23 24 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 50 52 54 55 56 57 59 60 61 63 65 67 68 69 70 72 74 76 78 80 82 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 104 106 107 111 +1 1 -3 -1 -1 -1 -3 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 48 49 52 53 55 56 57 60 61 64 65 66 68 69 70 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 103 105 107 108 +1 0 1 1 -1 1 0 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 25 27 28 30 32 33 35 37 38 39 42 43 44 45 46 47 49 50 51 54 55 56 58 59 61 62 63 66 67 70 71 72 74 75 77 78 79 82 83 84 86 87 88 89 90 91 94 95 96 98 99 100 101 102 104 105 106 107 109 110 111 +1 3 -1 1 1 1 3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 29 31 32 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 66 67 68 69 70 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -3 -1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 48 50 52 54 55 56 58 60 62 64 65 66 68 69 70 73 74 75 77 78 79 81 83 85 86 87 89 91 93 95 96 97 99 100 101 102 104 105 107 108 +1 1 -1 3 1 1 -1 3 1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 21 22 23 24 25 26 28 29 31 32 35 36 38 40 41 42 44 45 46 49 50 51 53 55 56 57 59 60 61 63 64 65 66 67 68 70 71 72 74 76 78 80 81 82 85 86 87 89 91 93 95 96 97 99 100 103 104 106 107 109 110 111 +1 1 1 0 0 -1 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108 110 111 +1 0 1 0 0 -1 -1 0 -1 : 0 2 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 24 25 26 27 28 29 31 34 35 37 39 41 42 43 44 46 48 50 51 52 54 56 58 59 61 63 65 66 67 68 69 71 73 75 76 77 78 80 82 84 85 86 88 90 92 93 95 97 99 102 103 105 106 108 109 +1 1 -1 1 0 -1 1 0 1 : 0 2 3 4 5 7 8 9 11 12 14 15 16 18 20 21 22 24 25 27 28 29 31 33 34 36 38 39 40 42 45 46 47 49 51 52 53 54 55 56 58 59 60 61 62 63 65 66 67 68 70 72 73 74 77 79 80 81 83 84 86 87 88 90 93 94 95 97 99 101 102 104 106 107 108 110 111 +1 1 -1 -1 -1 0 -1 0 1 : 0 1 3 5 6 8 10 11 13 14 15 16 18 19 21 22 23 26 28 29 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 49 51 52 53 54 56 57 59 60 62 65 67 68 69 70 72 73 75 76 78 81 83 84 86 89 91 92 94 95 97 98 99 100 101 102 103 104 106 107 109 +1 1 1 1 3 1 -1 3 -1 : 0 2 3 4 5 7 8 9 11 12 13 14 15 17 18 19 21 23 25 27 28 29 31 33 34 35 36 38 39 40 42 45 46 47 49 51 52 54 56 57 58 61 63 64 65 67 68 70 72 73 74 77 79 80 81 83 84 85 86 89 90 91 92 93 95 96 97 98 99 101 103 104 105 107 109 110 111 +1 1 -1 0 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 17 22 24 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 48 49 52 53 54 55 56 57 58 59 60 61 64 65 68 69 72 73 78 79 82 83 84 85 88 89 94 95 98 99 100 101 102 103 104 105 106 107 109 111 +1 0 0 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 39 41 42 43 44 51 52 59 60 61 62 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 -1 -1 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 28 29 31 32 33 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 61 62 63 64 65 66 68 70 71 72 73 74 75 76 78 80 82 83 84 86 88 90 91 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 0 0 1 0 1 0 1 -1 : 0 1 2 3 5 7 8 10 11 12 13 15 17 19 21 22 23 24 26 28 29 30 31 33 35 36 38 39 42 43 44 45 46 48 49 54 55 57 58 59 60 61 64 65 67 68 69 70 72 73 76 78 79 82 83 84 85 88 89 91 94 95 97 98 99 100 102 104 105 106 107 109 111 +1 1 1 -1 3 1 1 -1 3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 16 17 19 20 21 24 25 28 29 30 32 33 34 37 38 40 42 43 45 46 48 50 51 52 53 55 57 58 60 61 63 65 66 68 70 71 72 73 75 76 78 79 80 81 82 83 85 86 88 90 91 93 94 96 98 99 100 101 104 105 106 108 109 110 +1 0 1 0 0 1 0 2 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 24 25 27 28 29 30 31 32 33 34 35 36 38 40 41 42 43 44 46 48 49 50 51 52 54 56 57 58 59 60 62 64 65 66 67 68 69 70 71 73 75 76 77 78 79 81 83 84 85 86 87 89 91 92 93 94 95 97 99 102 104 107 109 +1 1 1 -1 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 28 30 31 32 37 39 40 41 43 44 45 47 48 50 51 52 53 55 56 58 59 60 62 63 64 66 69 70 71 73 75 77 79 80 81 83 85 87 88 89 91 92 93 95 96 98 99 100 101 102 104 106 107 108 +1 1 1 -3 1 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 24 26 27 28 29 33 34 35 39 40 41 42 43 44 48 49 50 51 52 53 54 55 59 60 61 62 63 64 68 72 73 74 75 76 77 78 80 81 82 83 84 85 86 87 88 93 94 95 96 97 98 100 102 103 104 105 109 110 111 +1 1 -1 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 27 29 31 33 34 36 38 39 42 46 49 52 53 54 55 56 58 59 60 62 63 66 70 73 77 80 81 83 84 86 87 90 94 97 101 102 104 106 108 111 +1 1 -3 -1 -1 1 -1 3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 26 27 28 29 30 32 33 34 35 36 37 39 40 41 42 43 45 47 48 49 51 53 55 56 57 59 61 62 63 65 67 68 69 70 73 74 75 76 78 80 81 82 84 86 88 89 90 92 94 95 96 98 100 101 103 104 106 107 109 +1 1 3 1 1 1 3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 65 66 67 69 70 71 74 75 78 79 80 82 83 86 87 88 90 91 92 94 95 96 97 98 99 103 104 105 108 109 110 111 +1 1 0 0 0 -1 0 0 -2 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 26 29 30 33 37 38 40 41 42 43 44 47 48 49 50 51 52 55 56 57 58 59 61 62 64 65 66 67 68 71 72 73 74 75 77 78 80 81 82 83 85 86 88 89 90 91 92 95 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 3 1 1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 25 26 27 28 29 35 36 37 38 40 44 51 52 53 54 55 56 57 58 60 61 62 64 68 69 70 71 72 73 74 76 77 78 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 0 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 46 48 50 51 52 53 54 55 56 57 58 59 61 66 70 72 74 75 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 101 104 106 108 109 110 +1 1 -3 3 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 37 42 44 45 47 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 80 81 82 83 85 90 92 93 95 97 100 102 103 105 107 110 111 +1 1 -1 3 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 34 35 36 37 38 39 40 42 43 45 48 49 51 53 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 86 89 92 93 94 95 96 97 98 99 100 101 103 106 107 109 110 111 +1 3 1 -3 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 26 27 28 30 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 55 57 58 59 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 -1 1 -1 3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 25 27 28 29 30 31 33 35 38 39 40 41 44 45 46 47 50 51 52 53 56 57 58 59 62 63 64 65 68 69 72 73 74 75 78 79 80 81 84 85 86 87 89 90 91 92 93 96 97 98 99 101 103 104 105 106 107 109 111 +1 0 0 0 1 0 2 0 1 : 0 1 2 3 5 6 8 9 10 12 13 14 15 17 19 20 22 25 27 29 30 32 34 36 37 39 40 41 42 44 46 47 49 50 51 52 53 54 56 57 59 61 62 63 64 66 67 68 69 70 72 73 75 77 78 79 80 82 83 84 85 87 88 89 90 92 94 95 97 98 99 101 103 105 106 108 110 +1 3 -1 1 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 26 27 28 29 32 34 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 59 62 63 65 66 67 68 70 71 74 75 76 77 79 80 82 83 86 87 89 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 1 1 1 -1 1 1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 26 29 30 31 32 34 35 37 38 39 40 43 44 45 46 49 50 51 52 53 54 57 58 59 60 63 64 65 66 68 69 70 73 74 75 76 79 80 81 82 84 87 88 89 90 93 94 95 96 99 102 105 106 107 108 110 111 +1 1 1 -1 -1 3 1 1 3 : 1 2 3 4 6 7 8 9 10 11 12 15 16 17 18 19 20 23 24 25 26 29 30 31 32 33 37 38 39 41 42 43 44 47 48 51 52 55 56 59 60 61 62 64 65 66 68 69 70 72 73 74 75 77 78 79 81 82 83 85 86 87 89 90 91 92 95 96 99 100 101 102 105 106 107 108 109 +1 1 1 1 -1 -3 -1 1 -3 : 0 1 2 4 6 7 8 10 11 12 14 15 16 17 19 20 21 23 25 26 27 29 30 31 33 35 37 38 41 42 44 46 47 48 50 51 52 53 55 56 57 59 61 62 65 66 68 69 71 72 73 75 77 78 81 82 84 85 86 87 88 90 91 92 93 95 96 97 99 101 102 103 105 106 107 109 111 +1 1 -1 -1 1 -1 3 1 -3 : 0 1 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 25 27 28 29 30 32 33 35 36 37 38 39 41 43 44 46 47 48 49 50 51 53 55 56 58 60 61 62 63 65 67 69 71 72 74 76 77 78 79 81 83 84 86 88 89 90 91 93 95 96 98 100 102 103 105 106 107 108 110 +1 3 1 -3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 1 -3 1 -3 -1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 18 19 21 22 23 24 25 26 27 28 30 31 33 36 38 41 43 44 46 47 49 50 51 52 54 55 57 58 59 60 61 62 63 64 65 66 68 69 70 72 73 75 76 78 81 83 84 86 89 91 92 94 95 97 98 99 102 104 105 107 108 109 110 111 +1 1 -3 1 1 1 -1 3 1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 27 28 29 30 32 33 34 35 37 38 39 41 43 45 47 48 49 51 53 55 56 57 59 60 61 63 64 65 66 67 68 70 71 72 74 76 78 80 81 82 84 86 88 89 90 92 93 94 97 98 99 103 104 106 107 109 110 111 +1 1 0 0 1 -1 0 -1 0 : 0 3 5 6 7 8 9 10 11 12 14 16 18 21 23 25 26 28 31 33 34 36 38 41 43 44 45 46 47 48 50 52 54 57 59 60 61 62 63 64 66 68 70 73 75 76 77 78 79 80 82 84 86 89 91 92 93 94 95 96 98 100 102 103 104 105 106 108 110 111 +1 1 1 3 1 -1 3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 18 19 20 21 22 23 24 26 27 29 31 32 34 35 36 37 40 41 42 44 45 47 48 49 54 55 56 58 59 61 62 63 66 67 68 69 71 72 73 76 78 79 80 81 83 85 86 87 90 91 92 93 94 95 97 98 99 100 102 103 105 107 108 110 111 +1 3 -1 -1 1 -1 1 1 -3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 25 27 28 29 30 33 35 37 38 39 40 43 44 45 46 47 49 50 51 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 84 85 86 89 90 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 -1 -3 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 19 20 22 23 24 25 28 29 31 32 33 35 36 37 39 41 43 44 45 46 47 48 49 51 52 53 54 56 58 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 84 86 88 90 91 92 93 94 96 98 100 102 103 104 106 107 110 111 +1 1 1 3 1 -1 3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 18 19 20 21 22 23 24 26 27 28 30 32 34 35 36 37 40 41 43 44 45 46 48 49 54 55 57 58 59 60 62 63 66 67 68 69 70 72 73 77 78 79 80 81 82 84 86 87 90 91 92 93 94 95 96 98 99 100 102 103 104 106 108 110 111 +1 0 1 -1 0 0 0 1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 22 23 24 25 26 27 30 31 32 33 34 38 39 40 41 44 45 50 51 52 54 55 56 57 58 60 61 62 64 66 67 69 70 71 72 73 75 76 77 79 81 82 83 86 87 88 89 92 93 98 99 100 104 105 106 107 111 +1 1 1 1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 18 20 22 26 28 30 32 34 35 37 40 41 43 46 49 54 57 60 62 63 66 70 73 76 78 79 82 84 86 87 90 92 93 94 95 96 98 99 102 104 106 108 110 111 +1 1 0 1 1 0 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 44 45 46 47 51 52 53 54 55 59 60 61 62 63 65 66 67 68 72 73 74 75 79 80 81 82 83 87 88 89 90 91 93 94 95 96 97 98 99 102 106 107 108 109 110 111 +1 1 -1 1 -3 1 1 -3 -1 : 0 1 3 4 5 7 8 9 11 12 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 38 40 42 43 45 47 49 50 51 52 54 55 56 57 58 59 61 62 63 64 65 66 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 101 104 105 107 108 109 110 111 +1 3 1 1 1 -3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 26 28 30 32 33 34 35 36 38 39 40 41 43 44 45 46 47 49 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 85 86 87 90 92 93 94 95 96 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 0 0 1 1 0 0 0 -2 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 34 35 36 39 41 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 62 64 67 69 70 72 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 95 97 98 100 101 105 106 110 111 +1 0 1 1 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 16 17 18 19 20 23 25 26 27 28 29 30 33 34 35 37 38 39 41 42 43 45 46 47 49 50 51 52 55 56 59 60 63 64 67 68 71 72 75 76 79 80 83 84 85 86 88 89 90 92 93 94 96 97 98 100 103 104 107 108 111 +1 1 0 -1 1 0 0 0 -1 : 1 2 5 6 8 9 10 11 13 14 15 16 17 18 20 21 22 23 24 25 29 30 34 35 37 38 40 43 44 45 46 47 48 49 50 51 53 54 56 59 61 62 64 67 68 71 73 74 76 77 78 79 80 81 82 83 84 87 89 90 92 95 97 98 100 102 103 104 105 107 108 109 110 +1 0 1 -1 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 27 28 29 30 31 32 33 34 36 37 38 39 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 96 97 98 99 100 101 102 109 110 111 +1 1 -1 1 1 -1 -1 -3 3 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 24 25 28 29 30 31 32 33 36 37 42 43 44 45 46 47 48 49 52 53 54 55 56 57 60 62 63 64 65 66 67 70 71 72 73 74 75 76 77 82 83 84 85 90 91 92 93 94 95 96 97 102 103 104 105 106 107 110 111 +1 1 -1 -1 -1 -1 1 3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 27 28 30 31 33 34 35 37 38 39 41 43 45 47 48 49 51 53 55 56 57 59 60 61 63 64 66 67 69 71 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 96 98 100 101 102 104 105 107 108 +1 3 -1 1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 24 25 26 28 29 32 34 38 41 44 45 46 47 48 49 50 51 53 56 57 59 60 61 62 63 64 65 66 67 68 70 71 74 76 77 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 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17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 37 38 40 43 44 47 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 89 90 93 94 96 99 100 105 106 111 +1 1 -1 1 -3 -1 -1 1 3 : 0 1 2 4 5 6 8 9 10 11 13 14 15 16 17 19 20 21 24 25 28 29 30 32 33 34 36 37 39 41 42 44 45 47 49 50 52 53 54 55 56 57 59 60 62 63 64 65 67 69 70 72 74 75 77 78 80 82 83 84 85 87 89 90 92 93 95 97 98 101 102 103 105 106 107 110 111 +1 1 1 -1 -3 -1 3 -1 1 : 0 1 2 3 5 7 8 9 10 11 12 13 15 17 19 21 22 23 24 25 26 27 28 30 32 34 36 38 39 42 43 44 45 46 48 49 54 55 57 58 59 60 61 64 65 67 68 69 70 71 72 74 75 77 78 79 80 81 82 84 86 87 90 91 92 93 94 96 97 100 101 102 103 104 106 108 110 +1 1 0 -1 1 0 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 25 27 28 29 30 31 32 34 35 39 40 41 42 43 45 46 47 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 88 92 93 94 95 99 100 102 106 107 108 109 110 +1 1 1 -3 -3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 34 35 36 37 38 39 40 41 42 43 46 49 54 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 82 84 86 87 90 92 93 95 96 97 98 99 100 101 102 104 106 108 110 111 +1 1 1 -1 -3 1 -1 -3 1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 16 18 19 21 22 24 25 27 28 30 31 33 34 36 38 40 41 42 45 47 48 49 51 52 54 55 56 58 61 62 63 65 67 68 69 70 72 73 74 75 76 77 79 80 82 83 84 86 88 89 90 93 95 96 97 99 100 101 103 104 106 107 109 110 +1 1 -1 1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 20 21 24 28 29 32 33 34 36 37 39 41 45 50 52 53 54 55 56 57 59 60 61 63 65 69 74 78 80 82 83 84 85 87 89 93 98 101 102 103 106 107 111 +1 1 -1 -3 -3 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 30 31 33 34 35 36 37 38 39 40 41 42 43 44 46 47 50 52 54 55 58 60 61 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 86 89 92 93 94 95 96 97 98 99 100 101 102 104 105 108 110 111 +1 1 1 1 0 1 1 0 1 : 0 2 3 4 6 7 8 9 11 12 14 15 18 20 21 22 23 25 28 30 31 32 33 34 35 36 37 38 40 42 44 45 47 49 51 52 54 56 58 59 61 63 65 66 67 68 70 72 74 75 77 79 81 82 83 84 86 87 88 89 90 91 93 94 95 96 97 98 99 101 104 106 107 108 109 110 111 +1 1 3 1 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 35 36 43 44 45 46 47 48 49 50 51 52 53 54 56 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 96 101 102 103 104 106 110 111 +1 1 -3 -1 1 1 -1 3 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 25 26 27 28 29 30 32 33 34 35 37 39 40 41 43 44 45 47 48 49 50 51 53 54 55 57 59 61 63 64 65 67 68 70 72 73 74 76 77 78 81 82 83 84 86 87 88 90 92 94 96 97 98 100 103 104 105 107 109 110 +1 0 0 1 0 0 0 2 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 20 21 22 23 24 28 29 30 31 35 36 38 39 40 41 42 44 45 46 48 50 51 52 53 55 57 58 59 61 62 63 64 65 67 68 69 70 72 74 75 76 78 79 80 81 82 85 86 87 88 89 91 92 93 95 97 98 99 100 104 105 106 107 111 +1 1 3 1 -1 3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 44 45 46 47 51 53 54 55 56 57 58 60 61 62 63 64 68 72 73 74 75 79 80 81 82 83 84 85 86 88 89 90 91 92 96 97 98 99 101 102 103 104 105 109 111 +1 1 -3 -1 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 27 28 29 30 32 33 34 35 36 37 38 39 41 42 43 45 46 47 49 51 53 54 55 57 59 61 63 64 65 67 68 69 71 72 74 75 76 78 79 80 82 84 86 87 88 90 92 94 96 97 98 100 101 102 104 106 107 108 +1 1 -1 -1 3 -1 -3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 12 13 15 17 20 21 22 23 25 27 30 31 32 33 34 35 36 37 39 40 42 43 44 45 46 47 48 49 50 52 54 55 58 59 60 61 62 64 65 68 70 71 74 75 76 77 78 80 81 86 87 89 90 91 92 93 96 97 99 100 101 102 103 104 105 108 110 +1 1 -1 -3 -1 1 -3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 22 23 24 26 27 30 31 32 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 54 55 56 57 59 62 63 64 66 67 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 101 103 104 105 108 109 111 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1 0 0 -1 1 -1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 17 19 21 23 24 27 28 29 30 31 32 35 36 37 38 39 42 46 48 49 50 51 52 53 54 55 57 61 64 65 66 67 70 72 73 74 75 76 77 78 79 82 85 88 89 90 91 92 93 94 95 97 100 103 104 105 106 107 108 111 +1 0 1 1 -1 -1 -1 0 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 25 26 27 28 30 31 35 36 38 40 42 43 44 46 47 48 49 50 51 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 85 86 87 88 89 90 92 93 94 96 98 100 101 102 103 105 106 108 109 110 111 +1 1 1 -1 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 37 38 39 40 41 42 45 47 49 50 51 52 53 54 56 58 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 93 95 97 98 99 100 102 103 104 106 107 110 +1 1 3 1 1 1 -1 -1 3 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 24 25 26 27 28 30 31 32 33 34 35 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 65 66 67 69 70 71 72 75 76 79 80 81 82 84 87 88 89 90 92 93 94 96 97 98 99 103 104 105 106 109 110 111 +1 1 3 1 1 -1 3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 42 44 45 47 48 49 52 53 55 56 57 60 62 63 64 65 67 70 71 72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 95 97 98 99 102 103 105 107 108 110 111 +1 1 1 1 1 1 1 1 1 : 2 3 6 7 12 13 14 15 20 21 22 23 30 31 32 33 34 35 36 37 38 40 44 51 52 59 63 65 66 67 68 75 79 81 82 83 87 89 90 91 93 94 95 96 97 98 99 106 107 108 109 110 111 +1 1 0 1 0 0 0 0 2 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 24 29 30 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 56 59 60 63 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 89 90 93 94 96 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 0 1 1 0 : 1 2 3 4 7 8 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 33 36 39 40 43 45 46 47 49 50 51 53 54 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 73 74 76 79 80 83 84 87 88 91 93 94 95 97 98 99 102 105 106 107 108 109 110 111 +1 1 1 1 3 -1 -3 1 1 : 0 1 2 3 4 5 8 9 10 11 12 13 15 16 17 20 21 22 25 26 27 30 31 32 34 35 38 39 40 42 43 44 45 48 49 50 53 54 55 58 59 60 61 63 64 65 69 70 71 74 75 76 77 79 80 81 84 85 86 89 90 91 92 93 94 95 96 97 99 101 102 103 106 107 108 110 111 +1 0 0 1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 73 74 75 76 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 0 -2 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 33 34 35 36 37 40 41 42 43 44 45 48 49 50 51 52 53 56 57 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 78 79 82 83 84 85 86 87 90 91 92 93 94 95 98 99 102 103 108 109 +1 0 1 -1 -1 0 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 26 30 31 32 33 39 40 41 42 43 44 48 49 50 51 52 56 57 58 59 60 61 62 64 65 66 67 69 70 71 72 73 74 75 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 1 3 1 -1 1 -3 1 : 0 2 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1 -1 0 1 0 -1 : 0 1 3 5 6 8 9 10 12 13 15 16 18 19 21 22 23 25 26 28 29 31 32 33 35 36 38 41 43 44 45 46 48 49 51 52 54 55 57 58 59 60 62 65 67 68 70 71 73 74 75 76 78 81 83 84 85 86 87 88 89 90 91 92 94 95 97 98 99 101 102 104 105 107 108 109 111 +1 1 1 3 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 18 20 21 22 23 24 26 27 29 30 31 34 35 37 38 40 42 43 44 45 47 49 50 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 78 79 80 81 83 84 85 87 89 90 92 93 94 95 96 97 99 100 102 103 105 106 107 110 111 +1 1 3 3 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 69 72 73 75 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 103 106 107 109 111 +1 1 1 1 3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 25 26 27 28 30 34 35 37 38 39 40 41 42 43 44 45 46 48 55 57 58 59 60 61 62 63 64 65 66 71 73 74 75 76 77 78 79 80 81 82 84 91 92 93 94 95 96 97 98 99 101 102 103 104 106 110 111 +1 1 0 0 0 1 -1 -1 0 : 1 2 3 4 5 6 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 39 40 41 42 44 47 48 49 50 52 55 56 57 58 60 63 64 65 66 68 71 72 73 74 76 79 80 81 82 84 87 88 89 90 92 95 96 97 98 100 101 103 104 105 106 109 110 111 +1 1 1 0 0 0 1 0 1 : 0 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 28 30 31 32 33 34 35 37 39 40 42 44 46 49 51 52 54 57 59 61 63 64 66 69 70 71 72 74 75 76 78 79 81 82 83 84 86 87 89 90 91 93 94 95 96 98 99 100 101 102 104 106 107 108 109 110 111 +1 1 3 1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 52 53 55 57 61 66 70 72 74 75 76 78 79 80 81 82 83 84 86 87 88 89 90 91 92 93 94 95 96 97 98 99 104 106 108 109 110 111 +1 1 -3 -1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 63 65 66 67 68 72 73 74 79 80 84 85 86 88 89 90 91 92 96 97 98 100 102 106 107 108 110 +1 1 1 0 -1 0 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 24 25 26 28 29 32 33 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 68 70 71 72 73 74 75 78 80 81 82 83 84 85 86 87 88 90 91 92 93 94 95 98 100 101 102 104 105 108 109 111 +1 0 0 1 0 0 0 -1 0 : 0 3 4 7 10 13 16 17 18 19 20 22 23 24 28 31 35 37 39 41 43 45 47 49 51 52 54 56 58 60 62 64 66 69 71 73 75 77 79 81 83 84 86 88 90 92 94 96 98 100 104 107 111 +1 1 -3 -1 3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 24 25 26 27 28 29 30 31 32 33 35 38 40 42 43 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 75 78 80 82 83 84 85 86 87 88 89 90 91 93 98 100 101 104 105 108 109 110 +1 0 0 2 0 1 0 1 0 : 0 3 5 6 7 8 10 13 15 16 17 18 19 20 21 22 23 24 26 28 31 33 35 36 37 38 39 40 42 44 45 46 47 48 50 53 55 56 57 58 59 61 63 64 65 66 67 68 69 70 71 72 74 76 77 78 79 80 82 85 87 88 89 90 91 93 95 96 97 98 99 100 102 104 107 109 111 +1 1 1 -3 1 -3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 17 18 19 20 21 22 23 24 26 30 31 32 33 34 35 36 37 38 39 40 44 45 46 47 51 52 56 57 58 59 63 64 65 66 67 68 69 70 71 75 76 77 78 79 81 82 83 87 88 89 90 91 93 94 95 96 97 98 100 102 106 107 108 109 110 111 +1 0 1 1 -1 0 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 25 26 28 30 32 33 35 37 40 41 42 43 44 45 47 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 84 86 87 88 89 90 91 94 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -1 1 3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 25 26 27 29 31 33 35 37 40 41 42 43 46 48 49 50 51 52 53 55 56 58 59 61 64 65 66 67 68 69 71 72 74 75 77 80 81 82 83 84 85 86 87 90 92 93 95 96 98 99 100 102 104 106 108 109 110 +1 1 1 -1 -1 -1 -3 3 1 : 0 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 24 25 26 27 28 30 31 32 36 37 38 39 41 42 45 46 49 50 53 54 57 58 61 62 64 65 66 67 68 69 71 72 73 74 75 76 77 78 79 81 82 84 85 86 87 89 90 93 94 97 98 100 101 102 103 104 106 107 108 +1 1 1 -1 1 1 1 -1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 28 29 30 32 33 34 36 38 39 40 41 43 44 45 47 49 50 53 54 56 58 59 60 62 63 64 65 67 68 69 71 73 74 77 78 80 82 83 84 86 87 88 89 91 92 93 95 97 98 100 104 105 106 108 109 110 +1 3 1 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 25 26 28 30 32 35 36 38 39 42 46 49 52 53 54 55 56 58 59 60 62 63 66 68 69 70 71 72 74 75 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 1 -2 0 1 : 0 1 2 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 36 38 39 40 41 43 45 46 47 48 49 50 53 54 55 56 57 58 60 62 63 64 65 67 69 70 71 72 73 74 76 78 79 80 81 83 84 86 87 88 89 91 93 94 95 96 97 98 102 103 105 106 108 109 +1 0 0 0 0 2 0 -1 1 : 0 1 2 3 4 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 37 38 39 40 41 42 44 45 47 48 50 51 52 53 55 56 58 59 61 62 63 64 65 66 68 69 71 72 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 95 96 98 99 102 104 105 106 107 109 +1 0 0 0 0 0 1 -2 1 : 0 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 37 38 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 65 66 67 69 70 71 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 96 97 98 103 104 105 106 107 108 +1 1 1 -3 -1 -1 -3 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 32 35 36 37 38 40 41 44 45 48 49 51 52 54 55 58 59 62 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 84 85 87 88 90 91 92 94 95 98 99 100 101 102 103 104 105 108 111 +1 1 1 1 -1 -1 3 1 3 : 0 2 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 25 26 27 29 30 31 32 35 37 39 40 42 44 46 48 49 50 51 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 84 86 87 88 89 90 91 92 93 94 95 97 99 101 102 103 105 106 107 108 111 +1 1 0 0 0 -1 0 0 0 : 4 5 6 7 8 15 16 23 26 33 36 37 38 39 44 45 46 47 52 53 54 55 60 61 62 63 68 69 70 71 76 77 78 79 84 85 86 87 92 93 94 95 100 101 102 103 104 105 106 107 108 110 111 +1 0 1 1 1 0 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 26 28 29 32 33 34 35 36 37 39 40 41 42 43 45 48 49 50 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 86 88 89 90 91 92 94 95 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -1 1 0 1 0 -1 : 0 1 3 5 6 8 10 11 13 14 15 16 17 18 20 21 23 25 26 27 28 30 31 33 35 37 38 39 40 42 43 44 45 46 47 48 49 50 51 53 55 56 58 61 62 63 64 66 67 69 71 72 74 77 78 79 80 82 83 84 85 87 88 89 90 93 95 96 98 100 102 104 105 107 108 109 110 +1 1 0 -1 -1 -1 0 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 28 29 30 31 33 34 35 36 37 38 39 40 41 42 44 45 46 48 49 52 53 54 56 57 60 61 64 65 67 68 69 70 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 103 104 106 108 +1 0 0 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 -1 1 -3 1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 27 28 29 31 33 36 37 38 41 42 43 44 46 48 49 50 52 54 56 57 58 60 62 63 64 66 69 70 71 73 75 76 77 78 81 82 83 84 85 86 89 90 91 92 94 96 97 98 102 104 106 107 108 110 111 +1 0 1 0 -1 -1 0 -1 0 : 0 3 5 6 7 9 11 12 13 14 15 16 18 21 23 24 25 26 27 28 29 30 32 35 36 38 41 43 45 47 48 49 50 51 52 54 57 59 61 63 64 65 66 67 68 69 70 71 72 74 76 78 81 83 84 85 86 87 88 90 92 94 97 99 101 102 104 107 109 110 +1 1 -1 1 0 1 0 -1 -1 : 0 1 2 3 4 5 8 10 11 12 13 15 17 18 19 22 23 24 25 26 27 30 31 32 34 38 39 40 42 43 44 45 48 49 50 52 54 55 56 57 58 59 60 61 62 64 65 66 67 69 70 71 74 75 76 77 79 80 81 86 87 88 90 91 92 93 96 97 98 101 103 104 105 108 109 110 111 +1 1 1 -1 -1 -1 1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 24 25 26 28 29 30 31 32 36 37 38 39 42 43 46 47 48 49 54 55 56 57 60 61 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 82 83 84 85 86 87 90 91 94 95 96 97 100 101 102 104 105 106 107 108 +1 0 0 0 0 1 1 0 -2 : 0 1 2 3 4 5 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 36 38 39 40 41 43 45 46 47 48 49 50 53 54 55 56 57 58 60 62 63 64 65 67 69 70 71 72 73 74 76 78 79 80 81 83 84 86 87 88 89 91 93 94 95 96 97 98 102 103 105 106 108 109 +1 1 -1 -1 -3 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 12 14 15 18 20 21 22 23 25 28 30 31 32 33 34 35 36 37 38 39 40 41 43 45 46 47 48 49 50 52 53 55 57 59 60 61 62 64 66 68 69 71 73 75 76 77 78 80 82 85 87 89 90 91 92 94 96 98 99 100 101 102 103 104 105 107 110 +1 0 1 0 -2 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 24 25 26 28 29 30 31 32 33 34 35 38 39 42 43 44 45 46 47 48 49 50 51 54 55 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 101 103 108 110 +1 3 -1 1 3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 24 25 26 30 31 32 34 39 40 44 45 46 47 48 49 50 51 52 56 57 58 60 61 62 63 64 65 66 67 69 70 71 75 76 77 78 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 3 -1 3 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 26 27 30 31 34 35 38 40 42 43 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 84 85 86 87 88 89 90 91 92 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 2 1 0 0 1 0 : 0 3 4 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 44 46 48 50 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 85 87 89 91 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 1 -3 -1 -1 3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 27 28 29 30 31 32 34 35 37 38 39 40 41 42 43 47 48 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 105 107 108 109 +1 1 -1 1 0 1 0 1 -1 : 0 1 2 3 5 7 8 10 11 12 13 15 17 19 21 22 23 24 25 26 27 28 30 32 34 36 37 40 41 43 46 47 49 50 51 52 53 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 72 73 76 78 79 82 83 84 85 88 89 91 94 95 97 98 99 101 103 105 107 108 109 110 111 +1 1 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1 -3 3 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 37 42 46 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 83 85 90 94 96 98 99 100 104 106 108 109 110 111 +1 3 1 -3 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 26 30 31 32 34 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 +1 0 0 1 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 24 25 26 28 31 33 34 35 37 39 40 42 44 46 48 49 50 51 52 53 54 55 57 59 61 63 64 66 69 71 72 74 76 78 80 81 82 83 84 85 86 87 89 91 93 95 96 98 100 101 102 104 107 109 110 111 +1 1 -1 1 3 -3 1 -1 -1 : 0 1 4 5 6 7 8 9 10 11 12 13 14 16 18 19 22 23 24 25 26 27 30 31 33 34 38 40 41 42 43 44 45 46 47 50 52 54 55 56 57 59 60 61 62 63 64 66 67 69 72 73 74 75 76 77 78 79 81 86 88 89 90 91 92 93 94 95 98 101 102 104 105 108 109 110 111 +1 0 0 0 1 -1 0 0 -2 : 1 2 4 5 6 7 8 9 10 11 12 13 14 16 19 20 23 25 26 29 30 33 34 36 37 38 39 41 42 44 47 48 49 50 51 52 53 54 55 56 59 61 62 64 65 66 67 68 69 70 71 72 75 77 78 80 81 82 83 84 85 86 87 89 90 92 95 96 97 98 99 101 102 105 106 109 110 +1 0 1 0 0 0 2 0 1 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 30 31 32 33 34 35 36 37 39 40 41 42 44 45 46 48 49 51 52 53 54 56 57 59 60 61 63 64 65 66 68 70 71 73 74 75 77 78 79 80 82 83 85 86 87 88 90 91 92 94 95 97 98 99 103 105 106 108 +1 1 3 1 -1 3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 42 44 45 46 47 49 52 53 55 56 58 59 60 61 62 63 66 70 72 73 74 75 77 80 81 82 83 84 86 87 88 89 90 91 94 96 97 98 99 101 102 104 106 108 109 111 +1 3 1 1 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 17 18 19 23 27 28 29 33 34 35 39 40 44 48 49 50 52 56 57 58 60 61 62 64 65 66 67 68 72 73 74 76 77 78 80 81 82 83 84 85 86 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 0 -1 0 -1 : 0 2 3 5 6 8 10 12 13 14 15 16 18 20 21 22 23 26 28 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 48 49 50 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 85 87 88 90 93 94 95 96 98 99 100 101 102 103 104 105 107 109 +1 1 0 0 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 40 41 42 46 47 48 50 51 54 55 56 58 59 60 61 64 65 66 70 71 72 74 75 76 77 80 81 82 84 85 88 89 90 94 95 96 98 99 100 101 103 104 106 108 109 110 111 +1 1 -1 -3 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 52 53 54 56 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 100 101 102 103 104 106 110 111 +1 1 -1 1 0 1 1 -1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 18 19 20 22 23 24 25 26 27 29 30 31 34 37 38 40 42 43 45 46 48 50 51 52 54 55 56 57 58 59 60 62 63 64 65 66 67 68 69 71 73 74 76 77 79 81 82 85 86 88 90 91 93 94 96 98 99 101 104 105 106 108 109 110 111 +1 1 -1 -1 -3 -1 3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 12 13 15 17 20 21 22 23 25 27 30 31 32 33 34 35 36 37 38 39 40 42 43 45 46 47 48 49 50 52 54 55 58 59 60 61 62 64 65 68 70 71 74 75 76 77 78 80 81 86 87 89 90 91 92 93 96 97 99 100 101 102 103 104 105 108 110 +1 2 0 0 1 0 0 0 1 : 1 2 5 6 8 9 10 12 13 14 15 19 20 25 29 30 34 36 39 41 42 44 45 46 47 48 49 50 51 53 54 56 59 60 61 62 63 64 65 66 67 69 70 72 75 76 77 78 79 80 81 82 83 84 87 89 90 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 1 1 -1 0 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 27 28 30 31 33 34 37 38 39 41 43 45 47 48 49 51 52 53 54 55 57 58 59 61 62 63 65 67 69 71 72 73 75 76 77 79 80 81 82 83 85 86 87 89 91 93 95 96 97 99 100 101 102 103 105 106 108 109 110 111 +1 1 -1 1 3 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 10 11 12 14 15 16 17 18 20 21 24 25 28 29 31 32 33 34 36 37 39 41 43 44 45 46 48 50 52 54 55 56 57 59 60 61 62 63 64 65 66 69 71 73 74 75 76 78 80 82 83 84 85 87 89 91 92 93 94 96 98 101 102 103 104 106 107 110 111 +1 1 -1 1 -3 -3 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 15 16 17 20 21 23 24 25 26 28 29 32 33 34 36 37 38 39 41 45 48 49 50 51 52 53 54 55 56 57 59 60 61 63 64 66 67 68 69 70 71 74 78 80 81 82 83 84 85 86 87 89 93 96 97 98 99 101 102 103 106 107 109 110 111 +1 0 0 0 1 0 -1 0 2 : 0 1 2 3 5 6 8 9 10 11 12 13 15 17 19 20 22 25 27 29 30 32 34 36 37 38 40 41 43 45 46 47 48 50 51 52 53 55 56 57 58 60 62 63 65 66 67 68 69 71 72 73 74 76 78 79 81 82 83 84 85 86 88 89 91 93 94 95 96 98 99 101 103 105 106 108 110 +1 1 -1 -3 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 19 20 22 23 24 26 27 28 30 31 34 35 37 38 39 40 41 42 43 45 47 49 50 51 52 54 55 56 57 59 60 62 64 66 67 69 71 73 74 75 76 77 79 81 83 84 86 88 90 91 92 93 94 96 98 100 101 104 105 107 108 109 111 +1 1 -1 1 3 1 3 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 14 15 17 18 20 22 23 24 25 26 27 29 31 32 34 36 37 40 41 42 46 47 48 50 51 52 53 54 57 58 59 60 62 63 64 65 66 67 68 69 71 72 73 77 78 79 82 83 84 85 88 89 90 94 95 96 98 99 101 103 104 106 108 109 110 111 +1 1 -3 1 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 59 60 63 65 66 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 92 95 97 98 99 101 105 106 107 108 109 111 +1 1 1 3 1 -1 -1 -3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 20 22 23 24 26 27 28 29 31 34 35 37 39 41 42 43 44 45 47 49 51 52 54 56 58 59 60 61 62 64 66 68 69 71 73 75 76 78 79 80 81 83 84 85 86 88 90 92 93 94 95 96 97 98 100 102 103 104 105 107 110 111 +1 1 1 1 1 -3 1 3 -1 : 0 1 3 4 5 6 8 10 11 13 14 15 16 18 19 21 22 23 26 28 29 31 32 33 34 35 36 37 39 40 41 42 45 47 48 50 53 55 56 58 61 62 63 64 66 67 69 71 72 74 77 78 79 80 82 83 85 86 87 88 90 91 92 93 94 95 96 97 99 102 104 105 107 108 109 110 111 +1 1 -3 -1 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 47 51 52 53 54 55 59 60 61 62 63 64 69 70 71 72 73 74 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 102 106 107 108 109 +1 0 1 0 0 1 -1 1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 24 25 27 29 30 31 33 34 35 36 38 39 41 42 44 46 47 49 50 52 54 55 57 58 60 62 63 65 66 69 70 72 73 75 77 78 80 81 83 85 86 88 89 91 93 94 96 97 99 102 103 104 107 108 109 +1 3 -1 1 1 -3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 24 25 26 27 30 31 33 36 37 38 39 41 44 45 46 47 50 52 53 54 55 58 60 61 62 63 64 66 67 68 70 71 72 73 75 76 77 78 79 81 84 85 86 87 89 92 93 94 95 98 100 101 102 103 104 105 106 107 108 110 111 +1 0 1 0 1 0 0 2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 24 26 27 28 29 30 31 32 33 34 35 36 38 40 42 44 45 46 47 48 49 50 51 52 54 56 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 79 81 83 84 85 86 87 88 89 90 91 93 95 97 99 101 104 107 110 +1 0 1 -1 -1 -1 1 1 0 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 24 25 26 29 30 31 32 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 64 65 66 67 68 69 70 71 73 74 75 77 78 79 80 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 107 108 109 110 111 +1 1 -1 1 -1 -1 1 -1 -3 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 24 27 29 30 31 33 34 37 38 40 41 43 44 45 47 48 50 51 52 54 55 57 58 61 62 64 65 67 68 69 71 72 74 75 76 78 79 81 82 85 86 88 89 91 92 93 95 96 98 99 101 102 104 105 106 108 111 +1 1 -3 1 -1 1 -1 1 -3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 24 25 26 27 28 30 31 32 33 34 35 37 38 40 41 43 44 46 47 49 50 52 53 55 56 57 58 59 61 62 64 65 67 69 70 72 73 75 76 78 79 81 82 84 85 87 88 90 91 93 94 96 97 99 101 103 105 106 107 109 111 +1 3 1 1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 20 21 22 23 25 30 31 32 33 35 39 41 42 43 44 51 53 54 55 56 57 58 59 63 65 66 67 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 0 0 0 -1 0 : 0 3 4 7 10 13 16 17 19 20 21 22 23 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 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81 82 84 85 86 87 88 89 90 91 93 94 96 99 100 101 102 103 104 105 107 108 109 110 111 +1 1 0 0 0 0 -1 0 0 : 0 1 2 3 9 14 17 22 27 32 36 37 40 41 44 45 48 49 52 53 56 57 60 61 64 65 68 69 72 73 76 77 80 81 84 85 88 89 92 93 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 1 1 3 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 11 12 13 15 17 19 21 22 23 25 27 29 31 32 33 34 35 36 38 39 42 43 44 45 46 48 49 54 55 57 58 59 60 61 64 65 67 70 71 73 74 75 76 77 80 81 83 85 86 87 88 89 90 92 93 95 96 97 98 99 101 103 105 107 108 109 110 111 +1 1 1 -3 -1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 33 35 36 37 38 39 40 44 45 46 47 51 52 56 57 58 59 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 79 80 84 85 86 89 90 91 92 96 97 98 99 100 101 102 103 104 105 109 111 +1 0 1 -1 1 1 -1 -1 0 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 27 28 29 30 33 34 37 38 39 40 43 44 47 48 49 50 52 53 54 55 57 58 59 61 62 63 64 67 68 71 72 73 74 76 77 78 80 81 82 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 107 108 109 110 111 +1 0 2 0 1 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 17 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 46 47 50 51 52 53 54 55 56 57 58 59 62 63 66 67 68 69 72 73 76 77 78 79 80 81 82 83 84 85 88 89 92 93 94 95 96 97 98 99 101 103 108 110 +1 1 -1 3 -3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 29 31 33 34 35 36 38 39 42 44 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 62 63 66 70 73 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 94 97 100 101 102 104 106 108 110 111 +1 1 3 -3 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 38 40 42 43 45 50 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 88 90 91 93 98 100 101 104 105 108 109 111 +1 1 0 2 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 24 29 30 35 36 39 41 42 45 46 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 72 75 76 79 81 82 84 85 86 87 88 89 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77 78 79 80 81 82 83 84 85 88 89 91 92 93 95 96 97 98 99 100 103 105 107 108 109 110 111 +1 0 1 1 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 17 18 19 20 21 23 25 27 28 29 30 31 33 34 35 36 37 38 39 42 43 44 45 46 47 50 51 54 55 56 57 62 63 64 65 70 71 72 73 78 79 80 81 84 85 88 89 90 91 92 93 96 97 98 99 100 102 103 108 109 111 +1 3 1 1 -1 3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 25 26 27 30 31 33 35 38 40 41 42 43 44 46 47 48 49 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 84 85 87 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 3 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 34 35 38 40 42 43 44 45 46 47 48 49 51 52 53 54 55 56 57 58 59 62 64 66 67 69 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 98 100 101 104 105 108 109 110 111 +1 1 1 -1 1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 24 26 27 28 29 32 33 34 38 39 40 41 44 46 47 48 49 50 53 54 55 56 57 59 62 63 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66 67 68 71 72 73 74 77 78 79 80 83 85 86 87 88 91 92 93 94 95 97 98 99 102 105 106 107 108 110 111 +1 3 1 -3 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 26 27 29 31 34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 54 56 58 59 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 90 92 93 95 97 100 101 102 103 104 105 106 107 108 109 110 +1 2 0 0 0 0 0 1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 28 29 30 31 37 38 39 40 41 43 44 45 47 49 50 51 52 53 55 57 58 59 61 62 63 64 65 67 68 69 71 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 92 93 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 1 -1 -3 1 -3 : 0 2 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 24 26 27 29 30 31 32 34 37 39 40 42 44 45 46 47 49 51 52 54 56 57 58 59 61 63 64 66 68 69 70 71 73 75 76 77 78 80 81 82 83 85 87 88 90 92 93 94 95 97 99 100 102 103 105 106 107 108 110 +1 1 1 -3 -1 1 -3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 16 18 19 20 21 22 23 24 25 27 28 30 32 33 35 36 37 40 41 42 44 45 47 48 49 54 55 56 58 59 61 62 63 66 67 68 69 70 72 73 74 75 76 77 80 81 82 84 86 87 88 89 91 94 95 96 98 99 100 101 103 104 106 108 109 111 +1 3 -1 1 1 1 -3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 27 30 31 32 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 64 65 66 67 68 70 71 72 73 75 76 77 79 80 81 84 85 87 88 89 92 93 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +1 0 0 1 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 17 20 21 23 24 27 28 29 30 31 32 35 38 40 41 42 43 44 45 46 47 50 53 56 57 58 59 60 61 62 63 65 68 69 70 71 74 78 80 81 82 83 84 85 86 87 89 93 96 97 98 99 100 103 104 105 106 107 108 111 +1 1 -1 0 1 1 -1 0 1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 22 23 24 25 26 28 29 31 32 35 36 38 40 41 42 44 45 46 48 49 50 51 53 55 56 57 59 60 61 63 64 65 66 67 68 70 71 72 74 76 78 80 81 82 85 86 87 89 91 93 95 96 97 99 100 103 104 106 107 109 110 111 +1 1 -1 -1 1 3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 25 26 27 28 30 33 35 36 40 41 42 43 47 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103 105 107 108 109 110 111 +1 1 1 -3 1 -1 3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 18 19 20 21 23 24 26 27 30 31 32 34 35 38 39 40 42 43 45 46 47 50 51 52 53 56 57 58 60 61 63 64 65 69 70 71 74 75 76 77 78 79 81 82 83 84 85 87 88 89 92 94 95 96 97 99 100 102 103 106 107 108 110 111 +1 1 1 0 0 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 34 35 36 37 38 39 40 41 42 43 46 49 54 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 79 82 84 86 87 90 92 93 94 95 96 97 98 99 100 101 102 104 106 108 110 111 +1 1 3 -1 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 40 43 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 68 69 70 72 75 76 77 78 79 80 81 82 84 87 89 90 91 92 93 94 96 99 100 102 103 104 105 106 110 +1 1 0 0 0 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 37 38 40 43 44 45 46 48 51 52 53 54 56 59 60 61 62 64 67 68 69 70 72 75 76 77 78 80 83 84 85 86 88 91 92 93 94 96 99 100 101 102 103 104 105 106 110 111 +1 1 -1 -1 3 3 1 1 1 : 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 34 35 36 37 38 41 42 43 45 46 47 48 49 50 51 52 53 54 55 59 63 64 65 66 67 68 69 70 71 75 79 80 81 82 83 84 85 86 87 88 92 96 97 98 99 100 101 102 106 107 108 109 110 +1 2 1 0 0 0 0 0 1 : 1 2 5 6 11 12 19 20 24 25 26 27 28 30 31 32 33 34 35 36 39 41 42 45 46 48 51 53 54 56 59 60 63 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 1 0 0 1 0 1 : 0 2 3 5 6 9 11 12 14 16 18 20 21 22 23 25 26 28 30 31 32 33 34 35 36 37 38 40 41 43 44 45 47 48 49 50 52 54 57 59 61 63 64 66 68 70 73 75 77 79 80 82 84 86 87 89 90 91 93 94 95 96 98 99 100 103 105 106 108 111 +1 1 -3 1 1 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 42 44 45 47 48 49 52 53 55 56 57 60 61 62 63 64 65 67 70 71 72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 97 98 99 102 103 105 107 108 110 111 +1 1 -1 -1 3 -1 1 3 -1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 17 18 20 21 23 25 27 28 30 31 33 34 35 36 37 39 40 42 43 44 45 46 47 49 50 51 52 54 55 56 58 61 62 63 65 67 68 70 71 72 74 77 78 79 81 83 84 86 88 89 90 93 95 96 97 99 100 101 102 104 105 107 108 110 +1 1 0 -1 -1 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 16 17 18 19 20 21 23 24 25 27 32 34 35 36 37 38 39 40 41 42 43 46 47 50 51 54 55 58 59 60 61 64 65 68 69 70 71 72 73 74 75 78 79 82 83 86 87 90 91 92 93 96 97 100 101 102 104 105 106 107 108 109 +1 0 1 1 0 0 0 -1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 22 23 25 26 27 28 29 32 33 34 35 36 37 39 41 42 43 45 46 47 48 49 51 52 53 58 59 62 63 64 65 68 69 74 75 78 79 80 81 84 85 86 88 90 91 92 94 95 96 97 98 100 104 105 106 107 111 +1 1 0 1 0 0 1 1 0 : 1 2 3 4 7 9 10 13 14 16 19 20 21 22 23 24 27 28 31 32 35 36 39 40 43 44 47 48 51 53 54 55 57 58 59 61 62 63 65 66 67 68 71 72 75 76 79 80 83 85 86 87 89 90 91 93 94 95 97 98 99 101 102 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99 100 101 102 103 104 106 108 111 +1 3 1 -1 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 27 29 31 33 34 37 40 41 43 44 45 47 48 49 50 51 54 57 61 64 65 67 68 69 71 72 73 74 75 76 77 78 79 80 81 82 83 85 88 89 91 92 93 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -3 3 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 34 35 38 41 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 62 65 68 70 71 74 76 77 78 79 80 81 82 83 84 85 87 88 89 90 91 92 94 95 98 100 101 102 104 105 108 110 111 +1 0 0 1 0 0 2 1 0 : 0 1 2 3 4 7 9 10 13 14 16 17 19 20 21 22 23 24 27 28 31 32 35 36 37 39 40 41 43 44 45 47 48 49 51 52 54 55 56 58 59 60 62 63 64 66 67 68 69 71 72 73 75 76 77 79 80 81 83 84 86 87 88 90 91 92 94 95 96 98 99 100 103 104 107 108 111 +1 0 0 1 0 0 0 -2 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 21 22 23 24 28 29 30 31 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 54 56 58 59 60 62 63 64 65 66 68 69 71 73 74 75 77 78 79 80 81 83 84 86 87 88 89 90 92 93 94 96 98 99 100 104 105 106 107 111 +1 1 -1 -1 -1 1 -1 1 -3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 26 28 29 30 32 34 35 37 38 40 41 43 44 46 47 49 50 52 54 55 57 58 60 61 63 64 66 67 68 70 71 73 74 76 77 79 80 82 83 84 85 87 88 90 91 93 94 96 97 99 100 101 103 105 106 107 109 +1 1 -1 1 1 1 -1 1 -3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 28 29 30 32 36 37 39 40 42 43 44 46 47 49 50 52 54 55 57 58 61 62 64 65 67 69 70 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 97 98 103 105 106 107 109 110 111 +1 1 0 -1 0 0 0 -2 0 : 0 3 4 7 10 13 16 17 18 19 20 21 22 23 24 28 31 35 36 38 40 42 44 46 48 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 72 74 76 78 80 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 +1 3 1 -1 1 -1 3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 26 27 28 29 32 34 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 62 63 65 66 67 68 70 71 74 75 76 77 78 79 80 82 83 86 87 89 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 2 0 0 0 0 1 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 24 29 30 35 37 38 40 43 44 47 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 71 73 74 77 78 80 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 -1 -1 1 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 25 28 29 30 31 32 33 35 36 37 38 39 40 41 44 45 46 47 48 49 50 51 52 53 58 59 60 61 62 63 64 65 68 69 74 75 76 77 78 79 80 81 86 87 88 89 90 91 92 93 98 99 100 102 103 104 105 106 107 110 +1 1 0 1 0 0 -1 0 -1 : 0 2 3 5 6 9 11 12 14 16 17 18 19 21 23 24 27 29 30 32 35 37 39 40 42 44 46 49 51 52 53 55 56 57 58 60 61 62 64 65 67 68 70 73 75 77 79 80 82 84 85 86 88 89 91 92 93 95 96 97 98 101 102 103 104 105 107 109 110 111 +1 1 -1 -1 -1 1 -3 -1 -3 : 0 2 3 4 5 6 8 9 11 12 13 14 16 17 19 20 21 22 26 27 29 30 31 32 34 35 36 37 38 39 40 41 43 44 46 48 49 50 51 52 54 56 57 58 59 61 63 64 66 68 70 72 73 74 75 77 79 80 82 85 87 88 90 92 93 94 95 97 99 100 101 103 104 105 106 108 109 +1 1 -1 0 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 18 21 24 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 48 50 52 53 54 55 56 57 58 59 60 62 64 66 68 70 72 74 77 79 81 83 84 86 88 90 93 95 97 99 100 101 102 103 104 105 106 108 109 111 +1 1 -1 -1 1 3 -1 -3 1 : 0 1 3 4 5 6 8 9 10 12 13 15 16 18 19 21 22 23 25 26 28 29 31 32 33 35 36 37 39 40 41 42 44 46 47 48 49 50 51 53 55 56 58 60 61 63 64 65 66 69 71 72 74 76 77 79 80 81 82 85 86 87 88 90 91 93 95 96 98 100 102 103 104 106 107 109 110 +1 1 1 1 1 -3 3 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 19 21 22 23 26 27 29 31 32 33 34 35 36 38 39 40 41 42 46 47 48 49 54 55 56 57 61 62 63 64 65 67 70 71 72 73 77 78 79 80 81 83 85 86 87 88 89 91 92 93 94 95 96 98 99 102 103 105 107 108 109 110 111 +1 1 1 -1 1 -1 -3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 24 26 27 30 31 32 34 36 37 38 41 42 43 44 45 48 49 50 53 54 55 58 59 60 61 62 65 66 67 68 69 72 73 74 76 77 79 80 81 84 85 86 89 90 91 92 93 96 97 98 100 102 103 106 107 108 110 +1 0 1 0 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 28 29 32 33 34 35 36 37 39 41 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 3 1 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 24 25 26 27 28 30 31 32 33 34 35 36 37 38 40 43 44 47 49 50 51 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 84 85 86 87 88 89 90 92 93 94 96 99 101 102 103 104 105 106 111 +1 1 -3 -3 1 1 1 1 1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 63 65 66 67 68 75 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 106 107 108 109 110 111 +1 1 -1 0 1 1 -1 0 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 17 19 20 22 23 24 25 26 28 30 31 32 35 37 39 40 41 43 44 45 47 48 49 50 51 52 54 56 57 58 60 61 62 64 65 66 67 69 70 71 73 75 77 79 80 81 83 84 86 87 88 90 92 94 96 97 98 100 103 104 105 107 109 110 111 +1 1 1 1 -1 -1 -1 3 -3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 35 36 37 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 66 67 68 69 70 71 72 73 76 77 82 83 85 86 87 88 89 90 91 92 93 94 95 96 97 101 102 103 104 105 106 107 111 +1 3 -1 3 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 35 38 41 45 48 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 71 74 78 81 84 85 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 26 27 28 30 31 32 34 35 36 37 38 39 40 41 42 43 44 47 48 49 50 51 52 55 56 57 58 59 60 63 64 67 68 71 72 73 74 75 76 79 80 83 84 87 88 91 92 93 94 95 96 99 100 101 103 104 105 107 108 109 +1 1 1 -1 1 -1 -3 -1 3 : 0 1 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 24 26 27 28 29 30 32 34 36 38 41 43 44 45 46 47 48 50 53 55 56 57 58 59 60 62 65 67 68 69 70 71 72 74 76 77 79 80 81 82 83 84 86 89 91 92 93 94 95 96 98 100 102 103 104 105 106 108 110 +1 3 3 -1 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 43 47 49 50 51 52 53 54 56 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 17 20 21 23 24 25 26 28 29 32 38 41 45 48 49 51 53 56 57 59 60 61 63 64 65 66 67 68 70 71 74 78 81 86 89 93 96 97 99 103 106 107 109 110 111 +1 1 -3 -3 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 57 58 59 60 67 71 73 74 75 76 83 84 85 86 87 88 89 90 92 93 94 95 96 97 98 99 100 101 105 107 108 109 111 +1 3 -1 -1 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 87 89 90 91 93 94 95 96 97 98 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 0 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 17 22 24 25 26 27 28 29 30 31 33 35 36 37 40 41 46 47 50 51 52 53 56 57 62 63 66 67 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 100 101 102 103 104 105 106 107 109 111 +1 1 -1 1 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 28 30 31 32 33 34 37 39 41 42 43 45 46 47 48 49 50 52 53 55 57 59 61 63 65 66 67 69 70 71 72 73 74 76 77 78 80 82 85 87 89 90 91 93 94 95 96 97 98 101 102 103 104 105 107 111 +1 1 1 0 0 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 29 32 33 34 35 36 37 38 39 40 41 42 43 45 50 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 80 82 83 86 88 90 91 92 93 94 95 96 97 98 99 100 101 104 105 108 109 110 111 +1 3 -3 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 72 73 74 79 80 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 1 -3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 61 62 63 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 96 97 98 99 101 102 105 107 108 110 111 +1 0 1 0 0 1 0 0 -2 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 27 28 29 30 31 32 33 34 35 36 39 40 41 42 43 45 46 48 49 50 51 53 54 56 57 58 59 60 63 64 65 66 67 68 69 70 71 73 74 76 77 78 79 80 83 84 85 86 87 88 91 92 93 94 95 97 98 102 105 106 109 +1 1 0 1 0 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 26 27 28 29 30 31 32 33 35 36 43 44 45 46 47 48 49 50 51 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 95 97 98 99 101 105 107 108 109 110 111 +1 1 1 -1 0 1 0 -1 -1 : 0 1 2 3 4 5 8 10 11 12 13 15 16 17 20 21 22 24 25 27 28 29 32 33 34 38 39 40 42 43 44 45 48 49 50 53 54 55 58 59 60 61 63 64 65 68 70 71 72 73 74 75 76 77 78 80 81 82 83 86 87 88 90 91 92 93 96 97 98 100 101 103 104 105 108 109 110 +1 1 -1 -1 -1 3 -1 3 1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 18 19 21 22 23 26 28 29 31 32 33 34 35 37 38 39 40 41 42 43 44 45 46 48 49 51 52 53 54 56 57 59 60 62 65 67 68 69 70 72 73 75 76 78 81 83 84 86 89 91 92 94 95 97 98 99 100 101 102 103 104 106 107 109 +1 1 1 1 0 1 1 -1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 18 19 20 22 23 25 28 29 30 32 33 34 35 36 37 39 41 42 44 45 47 49 50 53 54 56 58 59 61 62 64 66 67 69 70 72 74 75 77 78 80 82 83 84 86 87 88 89 90 91 92 94 95 96 97 98 99 101 104 105 106 108 109 110 111 +1 0 0 0 0 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 36 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 102 103 104 105 106 107 108 109 +1 3 -1 -3 1 1 1 1 1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 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13 15 16 18 19 20 22 24 25 26 27 28 29 31 32 33 34 35 36 38 39 41 42 45 46 48 49 51 52 53 54 55 56 58 59 60 62 63 65 66 68 70 71 73 74 77 78 80 81 83 84 85 87 88 90 91 92 94 95 97 98 101 102 104 105 106 108 111 +1 1 0 0 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 25 34 36 37 38 39 40 41 42 43 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 -3 -1 -3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 17 18 19 20 21 22 23 24 26 28 30 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 49 52 53 55 56 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 82 85 88 89 90 91 94 96 97 98 99 100 101 102 103 105 107 109 111 +1 3 1 1 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 25 28 29 31 32 33 35 36 37 39 41 43 44 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 0 1 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 0 1 -1 -1 0 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 22 23 24 25 28 30 31 32 33 35 36 37 38 40 42 44 45 46 47 48 49 50 52 53 55 57 59 60 61 62 63 64 65 67 68 70 72 74 75 76 77 78 80 82 85 87 89 90 91 92 93 95 97 99 100 102 103 104 105 107 110 111 +1 1 -1 0 -1 1 0 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 23 24 26 27 30 31 32 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 54 55 56 57 58 59 62 63 64 66 67 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 101 103 104 105 108 109 111 +1 1 3 -1 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 43 44 45 46 48 52 53 54 56 60 61 62 63 64 65 66 68 69 70 71 72 73 74 75 77 78 79 80 81 82 83 85 86 87 88 89 90 91 95 97 98 99 100 101 105 107 108 109 +1 1 0 1 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 35 52 53 54 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46 47 48 49 52 53 58 59 60 61 62 63 64 65 68 69 74 75 76 77 78 79 80 81 84 85 90 91 92 93 94 95 96 97 100 102 103 104 105 106 107 110 111 +1 1 0 1 -1 -1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 26 33 34 35 36 37 38 39 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 68 69 70 71 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 101 102 103 104 105 106 107 108 111 +1 1 -3 -1 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 51 52 53 55 57 59 61 63 65 66 67 69 70 71 72 73 74 76 77 78 80 82 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 107 +1 3 1 1 -1 1 -3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 25 27 30 31 32 33 35 36 37 38 40 41 45 46 47 48 49 50 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 84 85 87 88 89 90 91 92 93 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +1 3 -1 1 -1 1 -1 1 -3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 24 26 28 29 30 32 34 37 38 40 41 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52 53 55 56 57 58 60 61 62 64 65 67 69 70 71 72 74 75 76 78 79 81 82 83 84 85 86 88 89 91 92 93 95 96 97 98 100 103 105 106 108 111 +1 3 -1 -1 1 -1 1 3 -1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 25 27 28 30 31 33 35 37 38 39 41 43 44 45 46 47 49 50 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 84 85 87 88 90 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 -1 3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 25 27 28 29 33 34 35 39 40 44 45 46 47 48 49 50 51 52 56 57 58 60 61 62 63 65 66 67 68 72 73 74 76 77 78 79 81 82 83 84 85 86 88 89 90 91 93 94 95 99 100 101 102 106 107 108 110 +1 3 -1 3 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 30 31 32 35 39 40 44 48 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 75 79 80 84 85 86 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 0 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 26 27 28 29 30 31 32 33 35 36 38 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83 84 87 89 90 92 95 97 98 101 105 106 110 +1 3 -1 3 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 37 42 46 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 73 77 82 84 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 1 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 62 64 66 67 69 74 76 77 78 79 80 81 82 83 86 88 90 91 92 93 94 95 96 97 99 101 104 105 108 109 110 111 +1 3 -1 1 1 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 27 28 30 32 33 36 37 40 41 42 44 45 47 48 49 52 53 55 56 57 60 61 62 63 64 65 67 68 69 70 73 74 75 76 77 80 81 82 84 85 88 89 90 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 1 -3 1 1 -3 : 1 2 3 4 6 7 8 11 12 13 14 15 16 17 18 19 20 23 25 26 27 28 29 30 33 35 37 38 39 41 42 43 44 45 46 47 48 49 50 52 55 56 59 61 62 63 65 66 67 68 71 72 75 77 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14 15 17 18 19 20 21 22 23 24 25 26 33 34 35 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 100 101 102 109 110 111 +1 0 2 0 0 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 44 45 46 47 48 49 52 53 54 55 56 57 60 61 62 63 64 65 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 102 103 108 109 +1 1 -1 0 1 -1 -1 0 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 22 23 24 25 28 29 31 32 33 35 36 37 39 41 43 44 45 46 47 48 49 51 52 53 54 56 58 60 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 84 86 88 90 91 92 93 94 96 98 100 102 103 104 106 107 110 111 +1 1 3 -1 -1 -1 1 3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 27 29 30 31 32 33 34 35 36 37 39 40 42 43 44 46 47 48 50 52 54 55 56 58 60 62 64 65 66 68 69 70 71 73 74 75 77 78 79 81 83 85 86 87 89 91 93 95 96 97 99 100 101 102 104 105 107 108 +1 1 1 -1 -3 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 24 25 29 30 31 32 33 34 36 39 41 42 43 44 47 49 50 51 52 53 54 56 59 60 61 62 64 67 69 70 71 72 73 74 75 77 78 79 80 81 82 84 87 89 90 91 92 95 97 98 99 100 101 105 106 107 108 109 110 +1 1 1 -1 -1 1 3 1 3 : 0 2 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 37 39 40 41 42 43 44 46 49 51 52 54 57 59 60 61 62 63 64 66 68 69 70 71 72 74 75 77 79 80 81 82 83 85 87 88 89 90 91 92 94 97 99 100 101 103 105 106 107 108 109 +1 0 0 0 1 0 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 25 27 28 29 30 31 32 34 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 101 103 104 105 106 107 108 110 +1 0 1 -1 0 0 -1 0 1 : 0 1 3 5 6 9 11 12 14 16 18 19 21 22 23 24 25 26 27 28 30 31 33 34 36 38 41 43 45 47 48 50 52 54 55 57 58 59 61 62 63 64 66 67 68 69 70 72 73 75 76 77 79 80 81 82 84 86 89 91 93 95 96 98 100 103 105 106 108 111 +1 1 -1 3 -1 -1 -1 -1 -3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 21 22 23 24 29 30 31 32 33 34 35 37 38 39 40 41 42 44 45 46 48 51 52 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 105 106 111 +1 0 0 1 0 0 1 0 0 : 0 1 2 3 9 14 16 18 19 20 21 22 23 24 27 32 35 36 37 40 41 44 45 48 49 54 55 58 59 62 63 66 67 68 69 72 73 76 77 80 81 86 87 90 91 94 95 98 99 100 103 108 111 +1 1 -1 -1 1 1 -1 1 3 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 25 26 28 29 30 32 35 36 38 39 41 42 45 46 48 49 51 52 53 55 56 58 59 60 62 63 65 66 68 69 71 72 74 75 76 78 79 81 82 85 86 88 89 91 92 93 95 96 98 99 100 103 105 106 107 109 110 +1 3 -1 -1 -1 3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 26 27 29 31 33 34 35 36 38 39 40 41 42 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 0 1 1 1 -1 -1 0 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 24 25 26 27 28 31 32 33 34 35 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 64 65 66 67 69 70 71 72 75 76 79 80 81 82 84 87 88 89 90 92 93 94 96 97 98 99 103 104 105 106 109 110 111 +1 3 -1 1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 17 20 21 23 24 26 28 29 32 34 36 37 39 40 41 42 43 45 48 49 51 52 53 54 55 56 57 58 59 60 61 63 64 65 66 67 69 72 73 75 78 81 84 85 87 88 89 90 91 93 96 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -3 -1 1 3 -1 : 0 1 3 4 6 7 8 9 10 11 12 14 15 16 18 19 21 22 24 25 27 28 30 31 33 34 37 38 39 41 43 44 46 47 48 50 52 53 54 55 57 58 59 60 61 63 64 66 67 69 71 72 73 75 76 78 80 81 82 85 86 87 89 91 92 94 95 96 98 101 102 104 105 107 108 110 111 +1 1 -1 0 0 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 34 35 38 40 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 62 64 66 67 69 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 98 100 101 104 105 108 109 110 111 +1 1 0 0 -1 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 22 23 25 26 27 32 33 34 38 39 40 41 42 43 44 45 50 51 54 55 56 57 58 59 60 61 66 67 70 71 72 73 74 75 76 77 82 83 86 87 88 89 90 91 92 93 98 99 100 101 104 105 106 107 108 109 111 +1 0 1 0 1 0 0 0 2 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 24 26 27 28 29 30 31 32 33 34 35 37 38 40 43 44 45 46 47 48 49 50 51 52 55 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 79 81 82 84 85 86 87 88 89 90 91 93 94 96 99 101 105 106 110 +1 3 -1 1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 25 28 30 31 32 33 37 39 41 42 43 44 45 47 49 51 52 53 55 57 59 60 61 62 63 64 65 67 69 70 71 72 73 74 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -3 1 -3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 60 62 63 66 70 73 76 77 78 79 80 81 82 83 84 86 87 90 92 93 95 96 97 98 99 101 102 104 106 108 110 111 +1 1 -1 -1 3 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 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0 : 0 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 37 39 40 41 42 43 44 46 49 51 52 54 57 59 60 61 62 63 64 66 68 69 70 71 72 73 74 75 77 79 80 81 82 83 85 87 88 89 90 91 92 94 97 99 100 101 103 105 106 107 108 109 +1 1 0 1 0 -2 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 26 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 101 102 103 104 105 106 107 108 109 110 111 +1 3 3 -1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 47 48 55 56 61 62 63 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 1 -1 1 0 -1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 26 28 29 31 32 34 36 38 40 41 42 44 46 47 48 50 52 53 54 56 57 58 59 60 62 64 65 66 68 70 71 72 74 76 77 78 79 80 82 83 84 86 88 89 90 92 94 95 96 98 100 101 102 103 105 106 108 109 110 111 +1 0 1 1 0 -1 0 1 0 : 0 3 4 5 6 8 10 13 15 16 17 19 20 21 22 25 26 27 29 30 31 32 34 35 36 38 40 41 42 43 44 46 48 49 50 51 53 55 56 58 61 63 64 66 69 71 72 74 77 79 80 82 84 85 86 87 89 91 92 93 94 95 97 99 100 102 104 107 109 111 +1 1 0 0 1 0 -2 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 25 27 32 34 36 37 38 39 40 41 42 43 44 45 48 49 52 53 54 55 56 57 58 59 60 61 64 65 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 100 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 1 1 -1 0 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 25 26 27 29 30 32 33 34 35 36 38 40 41 42 44 45 46 48 49 50 51 52 54 55 56 58 60 62 64 65 66 69 71 72 73 75 76 77 79 80 81 82 83 85 86 87 89 91 93 95 96 97 99 100 103 104 106 107 109 110 +1 1 -1 1 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 18 19 21 22 24 25 27 28 30 31 33 34 37 38 39 41 43 44 46 47 48 50 52 53 54 55 57 58 59 60 61 62 63 64 66 67 69 71 72 73 75 76 78 80 81 82 85 86 87 89 91 92 94 95 96 98 101 102 104 105 107 108 110 111 +1 0 0 1 0 1 0 1 1 : 0 1 2 3 6 7 8 10 11 12 13 15 17 20 21 22 23 24 26 28 29 30 31 33 35 36 37 38 40 41 44 46 47 50 51 52 53 56 57 59 62 63 65 66 67 68 70 71 74 75 76 77 78 80 81 86 87 89 90 91 92 93 96 97 99 100 102 104 105 106 107 109 111 +1 1 1 -1 1 -1 3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 26 27 28 30 32 34 37 38 39 40 41 42 46 47 49 50 51 52 53 54 56 57 61 62 63 64 65 66 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 94 95 97 98 99 100 102 103 104 106 108 110 +1 1 -1 -1 -1 -3 -1 3 -1 : 0 2 3 4 5 6 8 10 12 13 14 15 16 18 20 21 22 23 26 28 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 47 48 49 50 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 85 87 88 90 93 94 95 96 98 99 100 101 102 103 104 105 107 109 +1 1 1 1 1 -1 3 3 -1 : 1 2 3 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 26 27 28 29 31 32 34 35 36 39 40 41 42 43 44 47 48 51 52 55 56 59 60 61 62 63 64 67 68 71 72 75 76 77 78 79 80 83 84 85 86 87 88 91 93 94 95 96 97 98 99 102 103 104 105 107 108 110 111 +1 1 0 0 -2 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 25 27 32 34 36 37 38 39 40 41 42 43 44 45 48 49 52 53 54 55 56 57 58 59 60 61 64 65 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 100 101 102 104 105 106 107 108 109 110 111 +1 0 0 1 -1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 24 25 28 29 30 31 34 35 38 39 40 41 44 46 47 48 49 50 53 54 55 56 57 59 62 63 64 65 68 69 74 75 76 77 78 80 82 83 84 85 87 89 90 91 92 93 98 99 100 101 104 105 106 107 110 111 +1 3 -1 3 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 25 27 30 31 33 35 38 41 44 46 47 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 72 73 75 78 81 84 85 86 87 88 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -3 -3 -1 -1 1 : 1 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 20 23 25 26 27 28 30 33 34 35 36 37 38 39 43 47 48 49 50 51 52 53 54 55 56 60 64 65 66 67 68 69 70 71 72 76 80 81 82 83 84 85 86 87 88 89 90 92 93 94 97 98 99 101 102 103 104 106 109 110 111 +1 1 -1 3 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 22 23 24 26 27 28 29 32 34 35 36 37 39 40 42 43 44 45 48 49 51 53 54 55 56 57 58 59 62 63 65 66 67 68 69 72 73 75 76 77 78 80 81 86 87 89 90 91 92 94 95 98 99 100 101 103 106 107 108 109 111 +1 1 1 1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 25 27 30 31 33 34 35 36 37 38 39 40 42 43 45 48 49 51 52 54 55 58 60 61 63 64 65 66 67 68 70 71 74 76 77 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 101 103 106 107 109 110 111 +1 0 1 -1 1 1 1 -1 0 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 28 29 30 32 33 34 36 37 39 41 42 45 46 48 50 51 52 53 54 55 56 57 59 60 61 63 65 66 69 70 72 74 75 76 78 79 80 81 82 83 84 85 87 89 90 93 94 96 98 99 100 101 102 103 104 107 108 109 110 111 +1 0 1 0 2 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 24 25 26 27 28 29 30 31 33 34 35 36 37 38 39 40 41 42 43 44 45 48 49 52 53 54 55 56 57 58 59 60 61 64 65 70 71 74 75 76 77 78 79 80 81 82 83 86 87 90 91 92 93 94 95 96 97 98 99 101 103 108 110 +1 1 3 1 3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 58 59 61 64 65 67 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 97 98 99 101 103 105 107 109 110 111 +1 3 1 -1 1 1 -1 1 3 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 24 27 29 30 31 33 34 36 38 39 41 42 45 46 48 49 51 52 53 55 56 58 59 60 62 63 65 66 69 70 72 73 75 76 77 79 80 81 82 83 84 86 87 89 90 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 1 1 -1 -1 -1 -1 0 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 35 36 39 41 42 43 45 46 47 48 49 50 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 85 86 87 88 89 90 92 93 94 96 99 100 101 102 103 104 107 108 109 110 111 +1 3 1 -3 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 25 26 29 31 32 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 55 56 60 64 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 91 95 96 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 20 21 22 23 24 26 27 28 29 34 39 41 42 43 44 51 53 54 55 56 57 58 59 63 65 66 67 68 75 76 77 78 80 87 89 90 91 92 99 101 106 107 108 109 111 +1 1 -1 -1 1 1 1 3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 35 38 39 40 41 42 43 44 45 46 47 48 49 51 52 53 58 59 62 63 64 65 66 67 68 69 74 75 78 79 80 81 82 83 84 85 86 87 88 89 92 93 98 99 100 104 105 106 107 108 109 110 +1 0 1 -1 1 0 0 0 -1 : 1 2 5 6 8 9 10 11 13 14 15 16 17 18 20 21 22 23 24 26 27 28 29 31 32 33 34 36 39 41 42 44 47 49 50 52 53 54 55 56 57 58 59 60 63 65 66 68 71 73 74 76 77 78 79 80 81 82 83 84 87 89 90 92 95 97 98 100 101 105 106 110 111 +1 3 -1 1 -1 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 24 26 27 28 29 31 34 37 39 41 42 43 44 45 47 49 51 53 54 55 56 57 58 59 61 63 65 66 67 68 69 71 73 75 76 78 79 80 81 83 85 87 89 90 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 1 1 1 -3 1 3 : 0 1 3 5 6 7 9 11 12 13 14 15 17 19 20 21 22 23 24 25 26 27 28 29 30 32 36 38 41 43 45 47 48 49 50 51 53 55 56 57 58 59 60 61 62 63 64 65 66 68 69 70 71 72 74 76 78 81 83 84 86 89 91 93 95 96 97 98 99 103 105 106 107 108 109 110 111 +1 1 -1 1 1 -3 1 3 1 : 0 2 3 4 5 6 8 10 12 13 14 15 16 18 20 21 22 23 24 25 26 27 28 29 31 33 37 39 40 42 45 46 47 48 50 51 53 54 55 56 58 59 60 61 62 63 64 65 67 68 69 71 72 73 74 77 79 80 82 85 87 88 90 93 94 95 96 98 99 102 104 106 107 108 109 110 111 +1 1 -1 1 3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 24 25 27 29 31 33 34 37 40 41 43 44 45 46 47 48 50 51 54 57 60 61 62 63 64 65 66 67 68 69 71 72 73 74 75 76 78 79 82 85 88 89 91 92 93 94 95 96 98 99 101 102 104 106 108 110 111 +1 1 1 -1 1 3 1 -1 3 : 0 1 2 4 6 7 8 10 11 12 14 15 16 17 19 20 21 23 24 26 28 29 30 32 33 34 37 38 41 42 44 46 47 48 50 51 52 53 55 56 57 59 61 62 65 66 68 70 71 72 74 75 76 77 79 80 81 82 83 85 86 89 90 92 94 95 96 98 99 100 102 104 105 106 108 109 110 +1 1 -1 -1 -3 -1 -3 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 14 15 17 19 21 22 23 25 27 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 47 48 50 51 52 53 54 56 57 60 62 63 66 67 68 69 70 72 73 76 78 79 82 83 84 85 88 89 91 94 95 97 98 99 100 101 102 103 104 106 108 110 +1 1 1 0 -1 -1 -1 0 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 22 23 24 25 26 27 28 30 31 35 36 37 39 41 43 45 47 49 50 51 52 53 54 56 58 60 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 83 84 85 86 87 88 89 90 92 93 94 96 98 100 101 102 103 104 106 107 111 +1 1 -1 -1 0 -1 -1 1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 18 19 20 22 23 25 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 51 52 53 55 57 58 60 61 63 65 66 68 69 71 73 74 76 77 79 81 82 85 86 88 90 91 93 94 96 98 99 100 101 102 103 105 106 107 110 +1 1 -1 3 -1 3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 23 24 26 27 30 31 33 34 35 36 37 39 40 42 43 44 45 46 47 50 52 54 55 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 100 101 102 104 105 108 109 111 +1 1 0 0 0 0 1 2 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 27 28 31 32 36 37 39 40 41 43 44 45 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 69 71 72 73 75 76 77 79 80 81 83 84 85 87 88 89 91 92 93 95 96 97 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -1 3 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 20 21 22 23 24 26 27 28 29 30 34 35 37 38 39 40 41 42 44 47 49 50 51 53 54 55 56 57 58 59 60 63 65 66 67 68 71 73 74 75 76 77 78 80 83 84 87 89 90 91 92 93 94 96 99 100 101 105 106 107 108 109 111 +1 0 1 1 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 105 106 108 109 110 111 +1 1 -3 1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 24 25 26 27 28 29 30 31 32 33 35 38 41 44 45 46 47 48 49 50 51 53 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 84 85 86 87 88 90 91 93 96 97 99 101 103 106 107 109 110 111 +1 0 0 0 2 -1 0 1 0 : 0 3 4 5 6 8 9 10 11 12 13 14 15 16 18 21 23 25 26 28 31 33 34 36 38 40 41 42 43 44 45 46 47 49 51 52 54 56 57 58 59 60 61 62 63 65 67 68 70 72 73 74 75 76 77 78 79 81 83 84 86 88 89 90 91 92 93 94 95 97 99 101 102 104 107 109 110 +1 1 -1 -1 3 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 11 12 13 15 16 17 18 20 22 25 26 27 28 30 32 34 35 37 38 39 40 41 42 44 45 47 48 49 50 51 54 55 57 58 59 60 61 64 65 67 70 71 73 74 75 76 77 80 81 83 84 86 87 90 91 92 93 94 96 97 100 101 103 105 107 108 109 110 +1 0 0 1 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 100 101 110 111 +1 1 -1 1 -1 1 -1 3 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 26 28 29 31 32 34 37 38 39 41 43 44 45 46 49 50 51 53 55 56 57 59 61 62 63 65 67 68 69 70 73 74 75 76 78 80 81 82 85 86 87 89 91 92 93 94 97 98 99 101 103 104 106 107 109 111 +1 1 1 3 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 26 28 29 32 34 35 36 37 39 40 41 42 43 45 48 49 51 52 54 55 58 60 61 62 63 64 66 67 69 72 73 75 78 81 84 85 86 87 88 90 91 92 93 94 95 96 97 98 99 100 102 104 105 108 110 111 +1 0 2 0 0 -1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 40 41 42 43 44 45 48 49 50 51 52 53 56 57 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 78 79 82 83 84 85 86 87 90 91 92 93 94 95 98 99 102 103 108 109 +1 0 1 1 1 0 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 26 27 29 31 33 34 35 36 38 39 40 41 42 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 -1 1 1 1 3 1 -3 : 0 1 3 5 6 7 9 11 12 13 14 15 17 19 20 21 22 23 24 25 26 27 28 29 30 32 36 38 41 43 45 47 48 49 50 51 53 55 56 57 58 59 60 61 62 63 64 66 67 68 69 70 71 72 74 76 78 81 83 84 86 89 91 93 95 96 97 98 99 103 105 106 107 108 109 110 111 +1 3 -3 -1 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 67 68 69 71 73 77 82 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 -1 3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 24 25 26 27 28 29 30 31 32 33 35 37 40 41 43 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 68 69 70 71 72 74 75 77 80 81 83 84 85 86 87 88 89 90 91 94 97 100 101 103 105 107 109 110 +1 3 -3 1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 73 77 82 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 3 1 -1 1 3 : 0 1 2 5 6 7 8 9 10 12 13 14 15 17 19 20 21 23 24 25 26 28 29 30 32 34 37 38 40 41 43 45 46 48 49 51 52 53 55 56 58 59 60 61 63 64 65 66 67 68 70 71 73 74 76 78 79 81 82 85 86 88 89 91 93 94 96 97 99 101 103 105 106 107 109 110 111 +1 0 1 0 0 0 0 -1 -2 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 28 29 30 32 33 34 35 36 38 39 40 41 42 44 45 46 48 50 51 52 53 54 56 58 59 60 62 63 64 65 66 68 69 71 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 92 93 95 97 98 99 104 105 106 107 +1 1 -3 1 1 1 1 3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 99 104 105 107 108 109 110 111 +1 3 1 -1 1 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 26 27 28 29 33 34 39 40 41 42 43 44 48 49 50 51 53 54 55 56 57 58 63 64 65 66 67 68 72 73 74 75 76 77 78 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 3 1 1 3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 50 51 54 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 73 76 77 80 81 83 84 86 87 90 91 94 95 97 98 99 100 103 105 107 108 109 110 111 +1 0 1 0 1 0 -2 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 24 26 27 28 29 30 31 32 33 34 35 38 39 42 43 44 45 46 47 48 49 50 51 54 55 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 101 103 108 110 +1 1 0 0 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 68 69 71 73 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 105 107 111 +1 1 1 1 1 3 -3 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 19 21 22 23 26 27 29 31 32 33 34 35 36 38 39 40 41 42 46 47 48 49 54 55 56 57 61 62 63 64 65 67 70 71 72 73 77 78 79 80 81 83 85 86 87 88 89 91 92 93 94 96 97 98 99 102 103 105 107 108 109 110 111 +1 1 1 1 0 1 1 0 -1 : 0 1 3 4 5 7 8 9 11 12 14 15 18 19 21 22 23 25 28 29 31 32 33 34 35 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 69 71 73 74 75 76 78 80 82 83 85 86 87 88 89 90 91 92 94 95 96 97 98 99 101 104 105 107 108 109 110 111 +1 1 -3 1 1 1 3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 28 29 30 31 33 34 35 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 66 67 68 69 71 72 73 76 77 80 81 82 84 85 88 89 90 92 93 94 97 98 99 103 104 106 108 109 110 111 +1 0 1 0 0 -2 0 1 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 29 30 31 32 33 34 35 37 39 40 41 42 43 45 47 48 49 50 51 53 55 56 57 58 59 61 63 64 65 66 67 68 69 70 71 72 74 76 77 78 79 80 82 84 85 86 87 88 90 92 93 94 95 96 98 102 104 107 109 +1 1 1 0 0 0 -1 0 -1 : 0 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 29 31 33 34 35 37 39 40 42 44 46 49 51 52 54 57 59 61 63 64 66 68 69 71 72 73 74 76 77 78 80 81 83 84 85 86 88 89 91 92 93 95 96 97 98 100 101 102 103 104 105 107 109 110 111 +1 0 1 1 -1 -1 -1 0 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 51 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 84 85 86 87 88 89 91 92 93 95 97 99 100 101 102 103 105 106 108 109 110 111 +1 0 1 0 -1 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 17 22 23 24 25 27 28 29 30 31 33 35 38 39 40 41 44 45 46 47 50 51 54 55 56 57 60 61 62 63 66 67 68 69 72 73 74 75 78 79 80 81 84 85 88 89 90 91 94 95 96 97 101 102 103 108 109 110 +1 1 1 -1 -3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 24 25 27 28 29 33 34 36 37 38 40 41 42 43 45 46 47 51 52 56 57 58 60 61 62 63 65 66 67 68 69 70 71 72 73 74 75 79 80 84 85 86 88 89 90 91 93 94 95 99 100 101 103 104 105 109 110 +1 0 0 2 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 16 17 18 19 20 21 22 23 24 27 28 31 32 35 36 37 39 40 41 43 44 45 47 48 49 51 52 54 55 56 58 59 60 62 63 64 66 67 68 69 71 72 73 75 76 77 79 80 81 83 84 86 87 88 90 91 92 94 95 96 98 99 100 103 104 107 108 111 +1 1 1 1 -1 1 -3 -1 -3 : 0 2 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 25 27 28 29 30 32 33 35 37 39 40 42 44 45 46 47 49 51 52 54 56 57 58 59 61 63 64 66 68 70 72 73 74 75 77 79 80 82 84 85 86 87 88 89 91 92 94 96 97 98 99 101 103 104 105 106 108 109 111 +1 1 1 1 0 1 0 1 1 : 0 1 2 3 6 7 8 10 11 12 13 15 17 20 21 22 23 25 27 30 31 32 33 34 35 36 37 38 40 41 44 46 47 50 51 52 53 56 57 59 62 63 65 66 67 68 69 72 73 75 78 79 81 82 83 84 85 87 88 89 90 91 93 94 95 96 97 98 99 101 103 106 107 108 109 110 111 +1 0 0 0 2 0 -1 -1 0 : 1 2 3 4 7 8 9 10 11 12 13 14 15 17 18 21 22 25 27 28 31 32 34 37 38 39 41 42 43 44 45 46 48 49 50 53 54 55 57 58 59 60 61 62 64 65 66 69 70 71 73 74 75 76 77 78 80 81 82 85 86 87 89 90 91 92 93 94 96 97 98 101 103 104 107 108 110 +1 1 0 -1 1 0 1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 32 34 35 38 39 42 43 44 45 46 47 48 49 50 51 52 53 56 57 62 63 66 67 70 71 74 75 76 77 78 79 80 81 82 83 84 85 88 89 94 95 98 99 100 102 104 105 106 107 108 109 110 +1 0 0 0 1 1 -1 0 1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 22 23 25 26 27 29 30 32 33 34 37 38 39 41 43 45 47 48 49 51 52 54 55 56 58 60 62 64 65 66 68 70 71 72 74 76 78 80 81 82 85 86 87 89 91 93 95 96 97 99 101 102 103 105 106 108 109 110 +1 1 1 1 -1 -1 1 3 3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 18 19 20 21 22 25 26 28 29 30 31 32 35 38 39 40 41 44 45 48 49 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 84 85 87 88 89 90 91 92 93 94 95 98 99 101 102 104 105 106 107 108 111 +1 1 1 -1 -1 1 3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 27 28 30 32 33 37 38 39 42 43 44 45 46 49 50 51 52 53 54 57 58 59 60 61 64 65 66 70 71 72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 97 98 99 100 101 103 104 106 108 109 +1 3 -1 1 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 26 27 28 30 33 34 36 37 38 39 43 44 45 46 47 48 52 53 54 55 57 58 59 60 61 62 63 67 68 69 70 71 72 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +1 1 0 -1 1 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 31 32 33 34 35 36 37 38 40 43 44 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 68 69 70 72 75 76 77 78 79 80 81 82 84 87 89 90 91 92 93 94 96 99 100 102 103 104 105 106 110 +1 1 3 -1 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 24 25 26 27 28 30 31 32 33 34 35 36 37 38 41 42 43 44 47 48 49 50 52 55 56 57 58 61 62 63 64 67 68 69 70 72 73 74 75 76 79 80 81 82 84 87 88 89 90 93 94 95 96 99 100 101 103 104 105 106 109 +1 1 -1 1 -1 -1 -3 -3 -1 : 1 2 3 4 6 7 9 10 12 13 14 15 16 17 18 19 21 22 24 27 28 30 31 32 33 34 36 37 38 39 40 43 44 47 48 51 52 53 54 56 57 58 59 60 61 62 63 64 67 68 71 72 75 76 79 80 81 82 83 84 85 86 87 88 91 92 95 96 99 101 102 103 104 105 107 108 111 +1 0 1 0 0 2 0 0 -1 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 29 31 32 33 34 35 36 37 38 39 40 43 44 45 46 47 49 50 52 53 54 55 57 58 60 61 62 63 64 67 69 70 72 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 93 94 96 97 98 99 102 105 106 109 +1 1 0 -1 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 16 17 19 20 21 23 24 27 28 31 32 35 36 38 39 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65 66 67 71 73 74 75 77 78 79 80 81 82 83 84 91 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 25 28 30 32 33 34 35 37 42 44 45 46 47 48 49 50 51 54 56 58 59 60 61 62 63 64 65 67 70 72 74 75 76 77 78 79 80 81 83 84 86 87 88 89 90 91 92 93 95 97 100 101 102 103 105 107 110 +1 0 1 0 0 2 0 0 1 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 39 41 42 44 45 46 47 48 51 52 53 54 55 56 59 60 61 62 63 65 66 68 71 72 73 74 75 77 78 80 81 82 83 85 86 88 89 90 91 92 95 96 97 98 99 102 105 106 109 +1 1 -1 1 -3 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 24 25 29 30 31 32 33 34 36 37 38 40 43 44 45 46 48 51 52 53 54 55 56 57 58 61 62 63 64 65 66 68 71 73 74 75 76 79 81 82 83 84 85 86 88 91 92 93 94 96 99 101 102 103 104 105 106 110 111 +1 1 0 0 1 -1 0 0 -1 : 1 2 4 6 7 8 9 10 11 13 14 16 19 20 23 25 26 29 30 33 34 37 38 41 42 44 45 46 47 49 50 52 55 56 59 60 61 62 63 64 67 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32 33 34 35 36 37 38 39 40 43 44 47 48 51 52 55 56 59 60 63 64 65 66 67 68 71 72 75 76 79 80 81 82 83 84 87 88 89 90 91 92 93 94 95 96 97 98 99 103 104 106 107 108 109 110 111 +1 3 -1 1 1 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 24 25 28 29 30 32 33 37 38 40 42 43 44 45 47 49 50 52 53 55 57 58 60 61 62 63 64 65 67 68 70 71 72 73 75 77 78 80 82 83 85 86 88 90 91 92 93 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 1 3 -1 1 -3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 20 21 23 24 25 27 30 31 32 33 35 38 39 41 42 43 44 46 47 50 51 52 53 56 57 59 60 61 62 64 65 69 70 71 72 73 74 78 79 81 82 83 84 85 87 88 89 90 91 92 93 96 97 99 100 101 103 106 107 108 109 111 +1 1 -1 3 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 21 22 23 24 25 28 30 31 32 33 35 36 37 38 40 42 45 46 47 48 49 50 52 53 55 57 59 60 61 62 63 64 65 67 68 70 72 74 75 76 77 78 80 82 85 87 89 90 91 92 93 95 97 99 100 102 103 104 105 107 110 111 +1 1 -1 1 -1 0 -1 -1 0 : 1 2 3 4 7 8 11 12 13 14 15 16 17 18 19 20 23 24 26 29 30 31 32 33 34 36 37 38 40 41 42 44 47 48 51 52 53 54 55 56 57 58 59 60 61 62 64 65 66 68 71 72 75 77 78 79 81 82 83 84 85 86 88 89 90 92 95 96 99 101 102 103 104 105 106 109 111 +1 1 1 -3 1 -1 1 -3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 19 20 21 22 23 24 26 28 29 31 32 34 35 36 38 40 41 42 44 46 47 48 50 53 55 56 57 59 61 62 63 65 67 68 70 71 72 74 76 77 78 79 80 82 83 85 86 87 89 91 92 93 94 97 98 99 100 102 104 105 107 108 110 111 +1 1 -1 -3 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 30 31 32 35 36 37 38 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 63 64 68 72 73 74 76 77 78 80 81 82 83 84 85 86 87 89 90 91 93 94 95 99 100 103 104 105 109 110 111 +1 1 -1 -1 3 -1 1 1 -3 : 1 2 3 4 5 6 8 9 10 11 13 14 15 17 18 19 20 23 25 27 28 29 30 33 34 35 36 37 38 41 42 43 44 45 46 47 49 50 51 53 54 55 56 59 61 62 63 64 67 69 70 71 72 75 77 78 79 80 83 84 87 88 89 90 92 95 96 97 98 100 101 102 105 106 107 108 110 +1 1 3 3 1 1 1 -1 -1 : 0 1 4 5 10 11 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0 : 0 3 4 5 6 7 8 10 13 15 16 17 18 19 20 22 23 24 26 28 31 33 35 36 37 38 39 40 42 44 45 46 47 48 50 53 55 56 57 58 59 61 63 64 65 66 67 68 69 70 71 72 74 76 77 78 79 80 82 85 87 88 89 90 91 93 95 96 97 98 99 100 102 104 107 109 111 +1 1 1 0 0 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 30 31 33 34 35 38 41 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 62 65 69 72 73 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 96 97 99 100 101 103 106 107 109 110 111 +1 1 -1 -3 1 3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 18 19 20 21 22 24 25 26 27 30 31 33 35 38 40 41 42 43 44 46 47 48 49 50 51 52 53 54 55 58 60 61 63 64 66 67 69 72 73 74 75 78 80 81 82 83 84 85 86 87 89 92 93 94 95 98 100 102 104 105 108 109 110 111 +1 0 1 1 -1 1 1 0 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 25 28 29 31 32 33 35 36 37 39 41 43 44 45 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 91 93 95 97 98 99 100 101 102 103 105 106 108 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90 91 92 93 94 95 96 97 100 102 103 104 105 106 107 110 +1 0 0 0 0 1 -2 -1 0 : 0 1 2 3 4 5 6 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 38 39 40 41 43 44 46 47 48 49 51 52 54 55 56 57 59 60 62 63 64 65 67 68 70 71 72 73 75 76 78 79 80 81 83 84 86 87 88 89 91 92 94 95 96 97 99 102 103 104 107 108 109 +1 1 1 3 1 -1 -3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 18 19 20 21 23 24 26 27 30 31 32 34 35 38 39 40 42 43 45 46 47 50 51 52 53 56 57 58 60 61 63 64 65 69 70 71 74 75 76 77 78 81 82 83 84 85 87 88 89 92 93 94 95 96 97 99 100 102 103 106 107 108 110 111 +1 3 -3 1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 84 88 89 90 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -1 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 29 31 32 33 34 36 37 38 39 40 41 42 44 45 46 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 68 69 70 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69 71 73 74 75 77 78 79 80 81 82 83 84 86 88 90 91 92 94 95 96 97 99 100 104 105 107 108 109 110 111 +1 0 1 0 1 1 0 -1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 18 21 23 24 27 28 29 30 32 33 34 35 36 37 38 39 41 43 45 47 48 50 52 53 54 55 57 59 61 63 64 66 69 71 72 74 76 78 80 81 82 83 85 87 88 90 92 94 96 97 98 99 101 102 104 107 109 110 +1 1 1 -1 0 -1 -1 0 1 : 0 1 3 4 5 7 8 9 11 12 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 68 69 70 71 72 73 75 76 77 78 79 80 81 82 84 85 87 89 91 92 93 94 96 98 100 101 102 103 104 106 107 110 +1 0 2 0 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 41 42 43 45 46 47 49 50 51 53 54 55 57 58 59 61 62 63 65 66 67 68 69 70 72 73 74 76 77 78 80 81 82 84 85 86 88 89 90 92 93 94 96 97 98 103 104 107 108 +1 1 -1 1 0 1 1 0 -1 : 0 1 3 4 5 7 8 9 11 12 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 38 40 42 43 45 47 49 50 51 52 54 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 101 104 105 107 108 109 110 111 +1 1 -3 1 3 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 25 26 27 28 29 30 31 32 33 35 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 84 85 87 88 89 90 91 92 94 95 98 101 102 104 105 108 110 111 +1 3 -1 -1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 19 21 22 23 25 29 31 32 33 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 52 53 54 56 60 61 62 63 64 65 66 68 69 70 72 76 77 78 79 80 81 82 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 25 26 27 30 31 32 35 38 39 40 42 43 44 46 47 48 49 51 53 54 55 58 59 62 63 64 66 67 69 70 71 74 75 78 79 80 82 83 84 85 86 87 89 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -1 1 1 -1 -3 -3 1 : 1 2 3 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 24 25 27 28 29 31 32 33 36 39 40 43 44 45 46 47 48 51 52 53 54 55 56 59 60 61 62 64 65 66 67 68 71 72 73 74 75 76 79 80 83 84 87 88 91 92 93 94 95 96 99 102 103 104 106 107 108 110 111 +1 1 -3 1 -1 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 43 44 45 46 48 49 52 53 55 56 57 58 59 60 61 64 65 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 94 95 97 98 99 101 103 105 107 108 109 111 +1 1 0 -1 -1 1 0 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 24 25 26 28 29 30 31 33 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 53 56 57 58 60 61 63 64 65 68 70 71 72 73 74 75 78 79 80 82 83 86 87 88 90 91 93 94 95 98 99 100 101 103 104 105 108 109 +1 1 3 -1 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 42 46 48 50 51 54 56 58 59 60 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 83 84 85 86 87 88 89 91 92 93 95 97 100 101 102 103 105 107 +1 1 1 1 -3 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 16 17 19 20 21 25 26 27 29 30 31 34 35 37 38 40 42 43 45 46 48 50 51 52 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81 82 84 85 86 87 88 89 90 91 95 96 100 101 102 103 104 105 106 107 108 109 111 +1 1 1 -1 1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 26 27 28 29 33 34 36 37 38 41 42 43 44 45 46 47 51 52 56 57 58 59 60 61 62 65 66 67 68 69 70 71 75 76 77 78 79 80 84 85 86 89 90 91 92 93 94 95 99 100 102 103 104 105 109 110 +1 1 0 1 1 1 1 -1 0 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 28 31 32 33 34 35 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 66 67 68 69 71 73 74 77 78 80 82 83 85 86 88 90 91 92 94 95 96 97 98 99 104 105 106 108 109 110 111 +1 1 -1 -1 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 25 29 30 31 32 33 35 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 60 63 65 66 67 69 70 71 72 73 74 76 79 81 82 83 84 85 86 88 91 93 94 95 96 97 98 100 102 103 104 105 106 110 +1 1 3 1 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 41 44 45 48 49 50 52 54 55 56 57 59 60 61 63 64 65 69 70 71 74 75 78 79 80 82 83 84 85 86 87 89 90 91 93 94 95 98 99 101 102 103 106 107 108 111 +1 0 1 0 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 27 29 31 33 34 35 36 38 39 42 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 26 29 31 32 34 36 40 41 42 47 48 52 53 54 56 57 58 59 60 64 65 66 71 72 77 78 79 83 84 88 89 90 95 96 101 103 104 106 109 111 +1 0 0 1 -1 -1 0 0 -1 : 1 2 4 6 7 9 10 12 13 14 15 16 17 18 19 21 22 24 25 26 29 30 33 34 35 37 38 41 42 45 46 48 49 50 51 52 53 54 55 57 58 61 62 65 66 68 71 72 75 76 79 80 81 82 83 84 85 86 87 88 91 92 95 96 99 100 101 102 105 106 109 110 111 +1 1 1 0 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 17 18 21 22 24 25 26 28 29 30 32 33 34 35 37 38 41 42 45 46 49 50 53 54 57 58 61 62 65 66 68 70 71 72 74 75 76 78 79 80 82 83 84 86 87 88 90 91 92 94 95 96 98 99 100 101 102 104 105 106 108 109 110 111 +1 0 1 0 0 0 2 -1 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 27 28 29 30 32 33 34 35 36 37 38 40 41 42 44 45 46 48 49 50 52 53 54 56 57 58 60 61 62 64 65 66 69 70 71 73 74 75 77 78 79 81 82 83 85 86 87 89 90 91 93 94 95 97 98 99 103 104 107 108 +1 3 -1 1 3 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 25 27 30 31 33 34 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 62 63 64 65 66 67 69 72 73 75 76 77 78 79 80 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 28 29 31 32 33 34 37 38 39 40 41 42 44 45 46 48 50 53 55 57 58 59 61 62 63 64 65 66 68 69 70 72 74 76 78 80 82 83 85 86 87 88 89 90 92 93 94 96 98 100 104 105 107 108 109 110 +1 1 1 -1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 26 30 31 32 34 39 40 45 46 47 51 52 56 57 58 63 64 69 70 71 75 76 77 78 79 81 82 83 87 88 93 94 95 99 100 102 106 107 108 110 +1 1 1 -1 -1 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24 25 27 28 29 30 31 33 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 68 69 70 71 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 94 95 96 97 100 101 103 104 105 106 107 109 +1 1 0 0 0 1 0 0 2 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 26 29 30 33 36 37 38 39 41 42 44 45 46 47 48 51 52 53 54 55 56 59 60 61 62 63 65 66 68 69 70 71 72 75 76 77 78 79 81 82 84 85 86 87 89 90 92 93 94 95 96 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 -3 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 36 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 70 72 74 75 76 78 79 80 81 82 83 84 85 86 87 88 89 91 92 93 95 97 100 104 106 108 109 110 111 +1 0 1 -1 0 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 25 26 28 30 32 34 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 61 64 65 67 68 69 70 71 72 73 74 75 76 78 79 82 84 85 86 87 88 89 90 91 94 97 100 102 103 104 105 106 107 108 109 111 +1 1 -1 -1 0 -1 1 1 0 : 1 2 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93 94 96 98 100 101 104 105 107 108 109 111 +1 3 1 1 1 1 3 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 27 30 31 32 33 34 35 36 37 39 40 42 43 44 46 47 50 51 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 86 87 89 90 91 93 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 0 1 -1 0 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 34 36 37 42 43 44 45 50 51 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 84 85 90 91 92 93 98 99 100 102 103 108 109 111 +1 1 1 -3 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 25 29 31 32 33 35 37 38 39 40 41 42 43 47 49 50 51 52 53 54 56 60 61 62 63 64 65 66 68 69 70 71 72 73 74 75 77 78 79 80 81 82 83 84 91 92 93 94 96 100 101 105 107 108 109 111 +1 1 0 -1 -1 -1 -1 1 0 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 28 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 50 52 53 55 57 58 61 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 105 106 107 +1 1 -1 0 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 22 23 24 25 26 27 28 30 31 35 36 38 40 42 43 44 46 47 48 49 50 51 53 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 74 76 78 80 82 83 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 111 +1 3 -1 -1 -1 3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 26 28 29 32 33 34 35 36 37 39 40 41 42 43 45 48 49 50 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 86 88 89 90 91 92 94 95 96 97 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 0 1 1 0 1 : 0 2 3 4 6 7 8 9 11 12 14 15 16 17 18 19 21 25 26 27 28 29 31 34 35 36 38 39 40 41 42 43 45 46 47 48 49 50 51 52 54 56 58 59 61 63 65 66 67 68 70 72 74 75 77 79 81 82 83 84 85 86 88 90 92 93 95 97 99 100 101 104 106 107 108 109 110 +1 3 1 -1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 25 26 27 29 31 34 37 42 44 45 46 47 48 49 50 51 54 56 58 59 60 61 62 63 64 65 67 68 69 71 73 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 1 1 -1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 17 22 23 24 27 28 29 30 31 33 34 35 36 37 38 39 42 43 46 47 48 49 52 53 54 55 58 59 62 63 64 65 70 71 72 73 76 77 80 81 82 83 86 87 88 89 92 93 96 97 98 99 101 102 103 108 109 110 +1 0 1 -1 -1 1 -1 -1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 24 25 27 28 29 30 33 36 39 40 41 42 45 46 47 48 51 53 54 55 56 59 60 61 62 63 65 66 67 68 69 70 72 73 74 75 76 79 80 81 82 84 87 88 89 90 93 94 95 96 99 100 101 102 103 104 107 108 109 110 111 +1 0 1 -1 0 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 24 25 26 28 29 32 34 38 41 44 45 46 47 48 49 50 51 53 56 57 59 60 61 62 63 64 65 66 67 68 70 71 74 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 0 1 -1 0 0 1 0 : 0 3 4 7 8 9 10 11 12 14 15 16 17 19 20 21 22 23 24 25 28 31 34 35 37 39 41 43 44 46 48 50 52 53 54 55 56 57 58 59 61 63 65 67 69 71 73 75 76 78 80 82 84 85 86 87 88 89 90 91 93 95 97 99 101 102 103 105 106 107 108 109 111 +1 1 -1 -1 1 0 -1 0 1 : 0 1 3 5 6 8 9 10 12 13 15 16 18 19 21 22 23 25 26 28 29 31 32 33 35 36 37 39 40 41 42 44 45 46 47 48 49 50 51 53 55 56 58 60 61 63 64 65 66 69 71 72 74 76 77 79 80 81 82 85 86 87 88 90 91 93 95 96 98 100 102 103 104 106 107 109 110 +1 0 0 0 0 2 -1 1 0 : 0 1 2 4 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 38 39 40 41 43 44 46 47 48 49 51 52 54 55 56 57 59 60 62 63 64 65 67 68 70 71 72 73 75 76 78 79 80 81 83 84 86 87 88 89 91 92 94 95 96 97 99 102 103 104 107 108 109 +1 1 1 -1 1 -3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 19 21 22 23 24 26 27 28 30 32 33 34 36 37 42 43 44 45 46 48 50 51 52 53 55 57 58 59 60 61 66 67 68 69 70 72 74 75 76 77 78 79 80 81 83 84 85 90 91 92 93 94 96 98 99 100 102 103 104 106 108 109 110 +1 1 -1 1 1 -3 -1 1 -3 : 0 1 2 4 6 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 32 33 37 38 41 42 44 45 47 48 49 51 52 53 55 56 57 59 60 61 62 63 64 66 67 68 70 71 72 74 75 77 78 81 82 85 86 89 90 92 93 95 96 97 99 102 103 105 106 107 109 110 111 +1 1 -3 -1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 17 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 43 44 45 46 47 48 49 50 51 52 54 55 58 60 61 62 63 64 66 67 69 72 73 75 78 81 84 85 87 88 89 90 91 93 96 97 99 100 102 104 105 108 110 +1 1 -1 1 1 0 -1 0 1 : 0 1 3 5 6 8 9 10 12 13 15 16 17 18 20 21 23 24 25 26 28 29 31 32 33 36 38 41 43 44 45 46 48 49 51 52 53 54 56 57 59 60 61 62 63 64 65 66 67 68 70 71 73 74 75 76 78 81 83 84 86 89 91 92 93 94 96 97 99 102 103 104 106 107 109 110 111 +1 1 1 1 1 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 26 27 28 29 33 34 35 36 37 38 39 40 45 46 47 48 49 50 53 54 55 56 57 58 63 64 65 66 67 69 70 71 72 73 74 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 102 103 104 105 109 110 111 +1 1 -1 -3 -1 -1 3 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 20 21 23 24 27 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 50 51 53 54 55 56 57 58 60 61 62 64 65 68 70 71 74 75 78 79 81 82 83 84 85 86 88 89 92 93 96 97 99 100 101 102 103 104 105 108 111 +1 1 0 1 -1 1 -1 0 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 25 26 27 29 30 32 33 34 35 36 38 40 41 42 44 46 47 48 50 52 53 54 56 57 58 59 60 62 64 65 66 69 71 72 73 75 77 78 79 81 83 84 85 87 88 89 90 91 93 95 96 97 99 101 103 104 106 107 109 111 +1 1 -1 0 0 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 52 53 54 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 100 101 102 103 104 106 110 111 +1 1 -1 -1 0 -1 0 0 0 : 4 5 6 7 8 15 17 18 19 20 21 22 23 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 68 69 70 71 76 77 78 79 88 89 90 91 96 97 98 99 100 101 102 103 104 105 106 107 108 110 +1 2 -1 0 0 0 0 -1 0 : 0 3 4 7 10 13 18 21 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 -3 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 36 37 38 39 40 41 42 43 45 46 47 48 49 50 51 52 59 60 61 62 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 -3 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 30 31 35 36 38 40 42 43 44 46 47 48 49 50 51 53 55 57 58 59 61 62 63 64 65 66 68 69 70 72 74 76 78 80 82 83 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 111 +1 1 0 0 0 0 2 0 1 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 37 38 39 40 42 43 44 46 47 49 50 51 52 54 55 57 58 59 61 62 63 64 66 67 68 70 71 73 74 75 77 78 79 80 82 83 85 86 87 88 90 91 92 94 95 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 3 1 1 1 -1 1 -3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 27 28 29 31 32 33 34 35 36 38 39 41 42 45 46 48 49 51 53 54 56 57 59 60 61 63 64 66 67 68 70 71 73 74 77 78 80 81 83 85 86 88 89 91 92 93 95 96 97 98 99 103 105 106 107 109 110 111 +1 0 1 0 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 26 28 29 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 92 94 95 98 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 1 1 -3 3 -1 : 0 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 27 28 29 31 32 33 34 35 36 37 38 39 41 42 45 46 49 50 53 54 57 58 61 62 64 65 66 67 69 70 73 74 77 78 80 81 82 83 85 86 88 89 90 91 92 93 94 95 96 97 99 103 104 105 107 108 109 110 111 +1 1 -1 -1 3 1 1 1 3 : 1 2 3 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 34 35 37 38 39 40 41 42 45 46 47 48 49 50 51 52 55 57 58 59 60 63 65 66 67 68 71 73 74 75 76 79 81 82 83 84 85 86 88 91 92 93 94 96 99 100 101 105 106 107 108 109 110 +1 1 1 -1 -3 1 -1 3 -1 : 0 2 3 4 5 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 29 31 33 34 37 39 40 41 43 44 46 48 49 50 53 54 55 57 59 60 62 63 64 66 68 69 71 72 73 74 75 76 77 78 81 82 83 85 87 88 89 91 92 94 96 97 98 100 101 103 104 105 107 109 110 +1 3 -1 -3 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 28 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 83 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 -1 -1 -1 -1 3 1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 69 71 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 96 98 100 101 102 103 104 106 107 +1 3 -1 3 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 28 29 32 33 34 35 36 37 39 41 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -1 3 -1 -1 3 : 1 2 3 4 6 7 8 11 12 13 14 15 16 17 18 19 20 23 24 26 29 30 31 32 33 34 36 37 38 40 41 42 44 47 48 51 53 54 55 56 57 58 59 60 61 62 64 65 66 68 71 72 75 77 78 79 81 82 83 84 85 86 88 89 90 92 95 96 99 101 102 103 104 105 106 109 111 +1 1 -1 -1 1 -3 -1 3 1 : 0 1 3 4 5 6 8 9 10 12 13 15 16 18 19 21 22 23 25 26 28 29 31 32 33 35 36 37 39 40 41 42 44 45 46 47 49 50 51 53 55 56 58 60 61 63 64 65 66 69 71 72 74 76 77 79 80 81 82 85 86 87 88 90 91 93 95 96 98 100 102 103 104 106 107 109 110 +1 1 -1 -3 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 25 28 30 32 33 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 54 56 58 59 61 66 68 69 71 73 76 77 78 79 80 81 83 84 86 87 88 89 90 91 94 96 98 99 100 102 103 105 107 110 111 +1 1 -3 -1 -1 1 -1 -3 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 26 27 29 30 31 32 33 34 35 36 37 38 40 41 42 43 44 46 48 49 50 52 54 56 57 58 60 62 63 64 66 68 69 71 72 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 103 104 105 107 109 +1 3 -1 1 -3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 63 65 66 67 69 70 71 72 73 74 75 76 77 78 80 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 0 0 -1 -1 0 -1 0 : 0 3 5 6 7 9 11 12 13 14 15 16 18 21 23 25 26 28 31 33 34 36 37 38 39 40 42 44 46 49 51 52 53 54 55 56 58 60 62 65 67 68 69 70 71 72 74 76 78 81 83 84 85 86 87 88 90 92 94 97 99 100 101 102 103 104 105 106 108 111 +1 1 1 1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 25 26 27 29 31 34 35 36 38 39 40 41 42 43 44 45 47 49 54 56 58 59 60 61 62 63 64 65 67 70 72 74 75 76 77 78 79 80 81 83 85 90 92 93 94 95 96 97 98 99 101 102 103 105 107 110 111 +1 1 0 -1 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 25 26 27 29 30 32 33 34 35 36 38 40 42 43 44 46 47 48 49 50 51 52 53 54 56 58 60 62 64 66 67 69 71 73 74 75 77 78 79 80 81 82 83 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 +1 1 -3 1 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 26 27 28 29 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 60 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 93 94 95 96 97 98 102 103 104 105 106 110 111 +1 1 -1 -3 1 -1 -3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 22 23 24 25 27 30 31 32 33 35 36 37 38 40 41 44 45 46 47 48 49 50 52 54 55 58 59 60 61 63 64 66 67 68 69 72 73 75 76 77 78 80 81 86 87 89 90 91 92 94 95 98 99 100 102 103 104 105 108 110 111 +1 1 -3 1 -1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 44 45 46 47 51 52 53 54 55 56 57 58 60 61 62 63 64 68 72 73 74 75 79 80 81 82 83 84 85 86 89 90 91 92 96 97 98 99 101 102 103 104 105 109 111 +1 1 3 -1 1 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 25 26 27 28 29 30 31 33 34 35 37 38 39 42 43 44 45 46 49 50 51 54 55 56 58 59 61 62 63 66 67 68 69 71 72 73 76 77 78 79 80 81 83 84 85 88 89 90 92 93 95 96 97 100 102 103 105 107 108 110 +1 1 0 0 0 0 0 2 1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 28 29 30 31 37 38 39 40 41 43 44 45 47 49 50 51 52 53 55 57 58 59 61 62 63 64 65 67 68 69 71 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 92 93 95 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 3 1 -1 1 3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 26 28 30 32 33 34 37 40 41 42 43 46 48 49 50 51 52 53 55 56 58 59 61 64 65 66 67 70 72 73 74 75 76 78 79 80 81 82 83 85 88 89 90 91 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 0 1 1 -1 -1 1 1 0 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 25 26 29 30 31 32 35 36 39 40 41 42 44 45 46 48 49 50 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 85 86 87 89 90 91 93 94 95 96 99 100 101 102 103 104 107 108 109 110 111 +1 3 3 1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 38 41 45 48 49 51 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -3 -3 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 15 16 18 19 22 23 24 25 26 27 30 31 33 34 36 37 38 39 41 45 48 49 50 51 52 53 54 55 58 62 64 65 66 67 68 69 70 71 72 73 75 76 77 79 80 82 83 84 85 86 87 89 93 96 97 98 99 100 101 102 103 106 107 109 110 +1 1 0 0 -1 2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 25 26 33 34 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 64 65 66 67 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 1 1 0 -1 0 -1 -1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 17 18 19 22 25 26 27 28 29 32 34 35 38 39 41 42 43 44 45 48 49 51 52 54 55 58 59 60 61 62 64 65 68 70 71 74 75 76 77 78 80 81 84 85 86 87 88 90 91 92 93 94 95 96 97 98 101 102 103 104 105 108 110 111 +1 1 3 -1 -3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 35 39 41 42 43 44 45 46 47 48 49 50 52 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 106 107 108 109 110 +1 1 1 3 1 1 -3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 18 19 20 21 23 24 27 28 30 32 33 34 35 37 38 39 42 43 46 47 48 50 51 52 53 55 56 57 60 61 64 65 66 70 71 72 74 75 76 78 79 80 81 83 84 85 88 89 90 92 93 94 96 97 98 99 100 103 104 106 108 109 110 111 +1 1 1 -1 -1 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 24 25 28 29 30 31 32 33 38 39 40 41 42 43 44 45 50 51 52 53 58 59 60 61 62 63 64 65 68 69 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 92 93 98 99 100 101 104 105 106 107 108 109 +1 1 1 -3 1 -3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 17 18 19 20 21 22 23 24 26 27 29 31 33 34 35 36 37 38 39 42 44 45 46 47 49 54 56 57 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 80 81 83 85 88 89 90 91 92 93 95 96 98 99 100 102 103 105 107 109 110 111 +1 3 1 -1 -1 -1 3 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 29 31 32 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 67 68 69 70 71 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 0 1 1 -1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 17 22 23 25 26 27 32 33 34 38 39 40 41 44 45 48 49 50 51 54 55 56 57 60 61 64 65 66 67 70 71 72 73 76 77 80 81 82 83 86 87 88 89 92 93 96 97 98 99 100 103 104 105 106 107 109 110 111 +1 1 -3 -1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 47 48 49 50 51 53 54 55 56 57 58 59 63 65 66 67 68 75 76 77 78 80 84 85 86 88 92 93 94 95 96 97 98 100 101 106 107 108 109 +1 1 1 3 -3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 33 34 35 39 40 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 63 64 68 72 73 74 76 77 78 79 81 82 83 84 85 86 87 88 89 90 91 92 96 97 98 100 101 103 104 105 109 110 111 +1 1 -1 0 -1 -1 -1 -1 0 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 21 22 23 24 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 52 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 105 106 111 +1 1 -1 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 24 25 27 28 29 33 39 40 45 46 47 51 53 54 55 59 60 61 62 63 65 66 67 68 72 73 74 79 80 87 88 93 94 95 99 102 106 107 108 110 111 +1 0 1 1 1 1 -1 -1 0 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 27 28 29 30 33 34 35 36 37 38 39 41 42 43 45 46 47 48 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 87 88 89 90 92 93 94 96 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 -1 -1 -1 -1 -3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 27 28 29 32 33 34 35 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 65 66 67 68 69 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 98 99 100 101 102 103 106 107 108 +1 1 0 -1 1 0 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 41 44 45 46 47 48 49 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 102 103 106 107 109 110 +1 1 -1 1 -1 -3 1 -3 1 : 0 2 3 5 6 7 8 9 10 11 13 15 16 18 20 21 22 23 24 26 27 28 29 31 33 34 36 38 39 41 42 43 44 46 49 51 52 53 54 55 56 57 58 60 62 63 65 66 67 68 70 73 75 76 77 78 80 81 83 84 86 87 89 90 91 92 94 97 99 101 102 104 106 107 108 109 111 +1 1 1 1 3 -1 3 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 14 15 16 17 18 20 22 25 26 27 28 30 32 34 35 36 37 40 41 43 46 47 49 50 51 52 53 54 56 57 60 62 63 66 67 68 69 70 72 73 76 78 79 82 83 85 86 87 88 89 90 92 93 94 95 96 98 99 101 102 103 104 106 108 110 111 +1 1 1 -1 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 24 25 27 28 29 30 31 32 33 34 40 41 42 43 48 49 50 51 52 53 54 55 60 61 62 63 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 101 103 104 105 106 107 108 109 110 +1 3 1 -1 3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 24 25 26 30 31 32 34 39 40 44 45 46 47 48 49 50 51 52 56 57 58 60 61 62 63 65 66 67 69 70 71 75 76 77 78 79 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 0 0 1 0 2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 36 37 39 40 41 42 44 45 46 48 49 51 52 53 54 56 57 59 60 61 63 64 65 66 68 69 70 72 73 75 76 77 79 80 81 82 84 85 87 88 89 90 92 93 94 96 97 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 -1 -1 1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 24 25 26 33 34 35 36 37 38 39 40 41 42 43 48 49 50 51 56 57 58 59 60 61 62 63 68 69 70 71 72 73 74 75 80 81 82 83 88 89 90 91 92 93 94 95 100 101 103 104 105 106 107 108 109 +1 1 -1 0 1 -1 0 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 18 19 20 21 23 24 25 27 28 30 32 33 35 37 38 39 42 43 44 45 46 47 49 50 51 52 53 55 56 57 60 61 62 63 64 65 67 70 71 72 74 75 77 78 79 82 83 84 85 88 89 90 92 93 95 96 97 100 102 103 105 107 108 110 111 +1 0 0 0 0 1 1 2 0 : 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 38 39 40 41 43 44 46 47 48 49 51 52 54 55 56 57 59 60 62 63 64 65 67 68 70 71 72 73 75 76 78 79 80 81 83 84 86 87 88 89 91 92 94 95 96 97 99 102 103 104 107 108 109 +1 0 0 1 1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 24 25 28 29 30 31 34 35 36 37 38 40 42 43 44 45 50 51 52 53 58 59 60 61 63 65 66 67 68 70 71 72 73 74 78 79 80 81 86 87 88 89 93 94 95 96 97 99 100 101 104 105 106 107 110 111 +1 1 -1 -1 -3 1 -1 -3 -1 : 0 2 3 4 5 7 8 9 11 12 13 14 15 16 18 20 21 22 25 26 28 30 31 32 34 35 36 37 38 40 41 42 43 44 45 47 48 50 51 52 54 56 57 58 61 63 64 65 67 68 70 72 73 74 77 79 80 81 83 84 86 87 88 90 93 94 95 97 99 100 101 103 104 105 107 109 110 +1 1 1 1 1 3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 26 28 30 32 33 34 35 36 37 38 39 42 44 45 47 48 50 51 52 53 55 56 58 59 61 64 65 66 67 68 69 71 72 74 75 77 80 81 82 83 85 88 89 90 91 94 96 97 98 99 102 104 106 108 109 110 111 +1 1 -3 1 1 -3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 43 44 45 46 47 48 52 53 54 55 56 60 61 62 63 64 65 66 71 72 73 74 75 76 80 81 82 83 84 88 89 90 91 92 93 94 97 98 99 102 103 104 106 109 110 111 +1 1 0 -1 0 0 -1 0 1 : 0 1 3 5 6 9 11 12 14 16 18 19 21 22 23 24 27 29 30 32 35 36 37 39 40 41 42 44 45 46 48 49 51 53 55 56 58 60 62 65 67 68 69 70 72 73 75 76 77 79 80 81 82 84 86 89 91 93 95 96 98 100 101 102 103 104 106 107 109 110 +1 1 1 -1 -1 -1 3 -3 1 : 0 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 24 25 26 27 28 30 31 32 36 37 38 39 41 42 45 46 49 50 53 54 57 58 61 62 64 65 66 67 68 70 71 72 73 74 75 76 77 78 79 81 82 84 85 86 87 89 90 93 94 97 98 100 101 102 103 104 106 107 108 +1 1 1 1 -3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 25 26 29 31 32 34 35 37 38 39 43 44 45 46 48 49 50 51 52 53 54 55 57 58 59 60 64 65 66 68 69 70 71 73 74 75 76 80 81 82 84 85 86 87 88 89 90 91 95 96 101 102 105 107 108 110 111 +1 0 0 1 -1 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 32 33 34 35 36 37 42 43 44 45 46 47 48 49 54 55 56 57 58 59 60 61 66 67 68 69 74 75 76 77 78 79 80 81 86 87 88 89 90 91 92 93 98 99 100 101 102 103 108 109 110 111 +1 1 -1 -1 0 -1 1 -1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 17 19 20 21 23 25 27 29 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 48 50 51 52 54 55 57 58 60 62 63 65 66 68 70 71 73 74 76 78 79 81 82 85 86 88 89 91 93 94 96 97 99 100 101 102 104 105 106 108 110 +1 1 0 1 -1 0 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 25 27 28 29 30 31 32 34 35 37 40 41 42 43 46 48 49 50 51 52 53 55 56 57 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 82 84 85 86 87 88 89 91 92 93 94 95 97 101 102 103 105 107 109 111 +1 1 3 1 -1 -1 -1 -3 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 25 26 27 28 29 30 32 33 34 35 36 37 39 41 43 45 47 49 50 51 52 54 55 56 57 59 60 61 63 65 67 68 69 70 72 74 76 78 80 82 83 84 85 86 87 88 89 90 92 93 94 96 98 101 102 103 104 106 107 111 +1 1 1 3 -1 -3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 19 20 21 22 24 25 26 27 28 30 33 35 36 40 41 42 43 47 48 49 50 51 52 53 54 55 56 60 61 62 63 67 68 69 70 73 74 75 76 80 81 82 83 84 85 86 87 88 89 90 92 93 94 95 96 100 101 102 103 104 106 109 111 +1 1 1 -1 -3 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 12 14 15 16 17 18 19 21 24 25 28 30 31 32 33 34 37 39 41 42 43 44 46 48 50 51 52 53 55 57 59 60 61 62 64 66 69 70 71 72 73 74 75 76 78 79 80 81 83 85 87 89 90 91 92 94 96 98 99 100 101 104 106 107 108 109 110 +1 1 -1 -1 -1 1 -3 -3 -1 : 1 2 3 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 26 27 28 30 31 32 34 35 36 37 38 39 40 41 42 44 47 48 49 50 51 52 55 56 57 58 59 60 63 64 67 68 71 72 73 74 75 76 79 80 83 84 87 88 91 92 93 94 95 96 99 100 101 103 104 105 107 108 109 +1 1 -3 1 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 25 26 27 28 29 30 31 33 34 35 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 59 62 63 65 66 67 68 69 72 73 75 76 77 78 80 81 84 85 87 88 90 91 92 93 96 97 99 101 103 106 107 108 109 111 +1 1 -1 0 1 -1 1 -1 0 : 0 1 2 5 6 7 8 10 11 12 14 16 17 18 21 22 23 24 25 27 29 30 31 33 35 36 38 39 41 42 44 45 46 47 48 50 51 52 54 55 57 58 60 61 62 63 64 66 67 69 70 72 73 75 76 78 79 81 82 85 86 88 89 91 92 94 95 97 98 100 102 104 105 106 108 110 111 +1 0 0 0 1 0 -2 0 -1 : 0 1 2 3 5 6 8 9 10 11 13 14 15 17 19 20 22 25 27 29 30 32 34 37 38 39 40 42 43 44 45 46 48 49 51 52 54 55 57 58 59 60 61 63 64 65 66 68 70 71 73 74 75 76 77 79 80 81 82 85 86 87 88 90 91 92 93 94 96 97 99 101 103 105 106 108 110 +1 1 1 -1 -1 1 3 3 1 : 1 2 3 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 24 25 27 28 30 31 32 33 36 39 40 41 42 43 44 47 48 51 52 55 56 59 60 61 62 63 64 67 68 69 70 71 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 92 95 96 99 100 101 103 104 106 107 108 109 +1 3 1 -1 -1 -1 1 3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 28 29 31 32 37 38 39 41 43 45 47 48 49 51 53 55 56 57 59 60 61 63 64 66 67 68 69 70 71 73 74 75 77 78 79 81 83 85 86 87 89 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 20 25 26 27 28 30 35 36 43 47 49 50 51 52 53 54 56 60 67 68 69 70 72 76 83 84 85 86 87 88 89 90 92 93 94 96 101 102 103 104 106 111 +1 1 0 1 -1 -1 0 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 24 25 26 28 29 30 31 33 34 35 36 37 38 40 41 44 45 48 49 51 52 53 54 55 56 57 58 60 61 62 64 65 68 70 71 74 75 78 79 81 82 83 84 85 86 87 88 90 91 92 94 95 98 99 101 102 103 104 105 108 111 +1 1 -1 -1 0 1 0 1 1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 17 18 19 22 25 26 27 28 29 32 34 35 36 37 39 40 41 42 43 45 46 47 48 49 50 51 52 53 56 57 59 62 63 65 66 67 68 69 72 73 75 78 79 81 82 83 84 85 86 88 89 92 94 95 98 99 100 101 103 106 107 108 109 110 +1 3 1 -1 -1 -1 -1 1 3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 29 30 31 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 67 68 69 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 3 -1 1 -3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 25 26 28 30 32 34 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 61 64 65 67 68 69 71 72 73 74 75 76 78 79 82 84 85 86 87 88 89 90 91 94 97 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 0 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 28 29 30 31 32 34 35 36 37 40 41 42 43 44 45 48 49 50 51 52 53 56 57 58 59 60 61 64 65 66 67 70 71 72 73 78 79 80 81 86 87 88 89 94 95 96 97 100 101 103 104 105 106 107 109 110 111 +1 1 -1 3 1 -1 3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 22 23 24 25 27 28 29 32 33 35 36 37 39 40 41 44 46 47 48 49 51 53 54 55 58 59 60 61 62 63 65 66 67 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 102 103 106 107 108 110 111 +1 0 1 0 0 0 0 0 -1 : 1 2 5 6 11 12 19 20 24 25 26 27 28 29 31 32 33 34 35 36 39 41 42 45 46 48 51 53 54 56 59 60 63 65 66 68 71 73 74 77 78 80 83 85 86 88 91 92 95 97 98 105 106 +1 3 -1 -1 1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 25 26 30 31 32 33 35 36 37 38 39 40 44 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 89 90 91 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 1 -1 1 1 -3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 24 27 28 30 32 33 34 36 38 39 40 41 43 44 45 47 48 49 54 55 56 58 59 60 62 63 64 65 67 68 69 71 72 73 76 77 80 81 82 84 86 87 88 89 91 92 93 95 96 97 100 103 104 106 108 109 110 +1 1 -1 0 0 0 0 2 0 : 0 3 4 7 10 13 18 21 24 25 26 27 28 29 30 31 32 33 34 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 -1 1 1 -3 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 27 28 29 30 33 34 35 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 65 66 67 68 71 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 96 99 100 101 102 105 106 107 108 +1 1 1 0 -1 0 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 17 18 19 20 21 22 24 25 26 27 28 29 33 35 36 37 38 39 40 44 45 46 47 51 52 56 57 58 59 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 79 80 84 85 86 88 89 90 91 92 96 97 98 99 100 101 102 103 104 105 109 111 +1 0 0 1 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 18 19 21 22 24 26 27 29 30 32 33 35 36 38 40 41 42 45 47 48 49 51 52 54 55 56 58 61 62 63 65 67 69 71 72 73 75 76 78 80 81 82 85 86 87 89 91 92 94 95 96 98 100 102 103 105 106 108 109 111 +1 1 -1 1 3 -3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 24 25 26 29 31 32 33 34 36 40 41 42 43 44 45 46 47 48 52 53 54 57 58 59 60 61 62 63 64 65 66 71 72 73 74 75 76 77 78 79 83 84 88 89 90 91 92 93 94 95 96 101 102 103 104 106 109 110 111 +1 1 1 1 1 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 26 27 29 31 32 34 35 37 38 39 42 43 44 45 46 49 50 51 52 53 54 57 58 59 60 61 64 65 66 68 69 70 73 74 75 76 77 80 81 82 84 85 88 89 90 92 93 95 96 97 102 103 105 107 108 110 111 +1 1 -1 -1 0 0 -1 1 -1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 18 20 22 23 25 26 28 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 48 49 50 51 52 53 54 55 57 61 64 65 66 67 68 69 70 71 73 77 80 81 82 83 84 85 86 87 90 94 96 97 98 99 100 101 102 103 105 107 109 110 +1 0 0 1 0 0 -2 -1 0 : 0 1 2 3 4 7 9 10 13 14 16 17 18 19 20 22 23 24 27 28 31 32 35 36 38 39 40 42 43 44 46 47 48 50 51 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 84 85 87 88 89 91 92 93 95 96 97 99 100 103 104 107 108 111 +1 1 -1 1 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 24 26 27 28 30 31 32 34 37 38 40 41 42 43 45 46 49 50 52 53 54 55 56 57 58 59 61 62 64 65 66 67 69 70 73 74 76 77 78 79 81 82 85 86 88 89 90 91 93 94 97 98 101 103 104 105 107 108 109 111 +1 1 1 -1 1 -1 1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 24 26 28 29 30 31 32 34 38 39 40 41 44 45 46 47 50 51 52 53 56 57 58 59 62 63 64 65 68 69 70 71 74 75 76 77 78 79 80 81 82 83 86 87 88 89 92 93 94 95 98 99 100 102 104 105 106 107 108 110 +1 1 1 0 -1 1 -1 -1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 21 22 23 24 25 27 28 29 30 33 35 36 39 40 41 42 45 46 47 48 51 52 55 56 57 58 61 62 63 64 67 68 69 70 72 73 74 75 76 79 80 81 82 84 85 86 88 89 90 91 92 95 96 97 98 100 101 103 104 105 106 109 111 +1 0 0 0 0 1 0 1 -2 : 0 1 2 3 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 39 40 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 63 64 66 67 69 70 71 72 73 74 76 77 79 80 82 83 84 85 87 88 90 91 93 94 95 96 97 98 102 104 105 106 107 109 +1 0 0 0 0 0 1 2 -1 : 0 1 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 37 39 40 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 63 64 66 67 68 70 71 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 96 97 99 103 104 105 106 107 108 +1 3 3 -1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 43 44 45 46 48 55 57 58 59 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 0 1 1 1 0 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 19 20 22 23 24 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 51 52 54 56 58 59 60 62 63 64 65 66 67 68 69 71 73 75 77 79 81 82 83 84 85 86 88 90 92 94 96 98 99 100 104 106 107 108 109 110 111 +1 1 3 -1 1 3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 41 44 46 47 48 49 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 102 103 106 107 109 110 +1 1 -3 1 1 -1 1 -3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 26 27 29 30 31 32 33 34 35 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 62 63 64 66 67 69 71 72 73 75 77 78 79 81 83 85 86 87 89 91 92 93 94 97 98 99 102 104 105 107 108 110 111 +1 1 1 -1 -1 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 25 28 30 31 32 33 36 37 38 40 42 45 46 47 48 49 50 53 54 55 56 57 58 61 63 65 66 67 68 70 72 74 75 76 77 78 80 82 84 85 86 88 90 93 94 95 96 97 98 100 101 104 106 107 108 109 +1 1 1 1 -1 -1 -1 1 3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 25 26 27 29 30 31 35 36 38 39 40 41 43 44 45 47 49 50 53 54 56 58 59 60 62 63 64 65 67 69 70 72 74 75 76 78 79 80 81 83 84 85 87 89 90 93 94 96 98 99 101 102 103 105 106 107 111 +1 1 -1 -1 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 27 28 29 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 51 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 85 87 88 90 92 94 96 97 98 99 100 101 102 103 105 106 107 108 +1 1 -1 -1 1 0 -1 0 -1 : 0 2 3 5 6 8 9 10 11 13 15 16 18 20 21 22 23 25 26 28 30 31 32 33 35 36 37 38 40 41 43 44 45 46 47 48 49 50 51 52 54 57 59 60 61 62 64 65 67 68 70 73 75 76 77 78 80 81 83 84 86 87 89 90 91 92 94 97 99 100 102 103 104 105 107 109 110 +1 1 -1 0 0 0 0 -1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 30 31 32 33 34 35 36 37 38 40 42 43 44 46 47 48 49 50 52 54 55 56 57 58 60 61 62 64 66 67 68 69 74 75 78 79 80 81 86 87 88 89 92 93 98 99 100 101 102 103 104 105 108 109 110 111 +1 1 3 1 -1 -1 -1 1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 25 26 27 28 29 31 32 33 34 35 36 37 39 41 42 45 46 48 50 51 52 54 55 56 57 59 60 61 63 65 66 68 69 71 73 74 77 78 80 82 83 84 85 86 87 88 89 91 92 93 95 97 98 101 102 103 105 106 107 111 +1 1 -1 -1 -1 -3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 26 28 29 32 33 34 35 36 37 38 39 41 44 45 46 47 50 52 53 54 55 58 60 61 63 64 66 67 68 69 70 71 74 76 77 79 80 82 83 84 85 87 88 90 91 93 96 97 98 99 100 101 102 103 106 107 109 +1 1 -1 1 1 0 -1 0 -1 : 0 2 3 5 6 8 9 10 11 13 15 16 17 18 19 21 23 24 25 26 28 30 31 32 33 37 39 40 42 44 45 47 48 49 50 52 53 55 56 57 58 60 61 62 63 64 65 66 67 69 70 71 72 74 75 77 79 80 82 85 87 88 90 92 93 95 96 97 98 102 103 104 105 107 109 110 111 +1 0 0 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 43 47 49 50 51 52 53 54 56 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 24 25 26 28 29 31 32 34 35 36 38 40 41 42 45 47 48 49 51 53 55 56 57 59 60 62 64 65 66 68 70 71 72 74 77 78 79 81 83 85 86 87 89 91 92 94 95 96 98 102 103 105 106 108 109 +1 3 -1 1 -1 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 58 59 60 62 64 66 67 68 69 70 72 74 77 78 79 80 81 82 84 86 88 90 91 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 0 2 -1 0 -1 0 0 0 : 4 5 6 7 8 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 41 42 43 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 100 102 109 111 +1 1 -1 0 0 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 40 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 64 68 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 110 111 +1 1 -1 -1 -1 -3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 19 21 22 23 26 27 29 31 32 33 34 35 36 37 38 39 40 41 43 44 45 46 48 50 51 52 53 54 56 58 59 60 61 66 67 68 69 70 72 74 75 76 77 82 83 84 85 90 91 92 93 95 97 98 99 100 101 102 103 104 106 108 109 +1 1 -1 -1 1 1 3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 25 26 27 29 31 32 35 37 38 39 42 43 46 47 48 50 51 52 53 54 57 58 59 61 62 63 66 67 68 69 70 73 74 75 77 78 79 82 83 84 85 88 89 90 92 93 94 97 98 99 100 103 104 106 108 109 110 +1 0 0 0 1 1 1 1 0 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 21 22 23 25 26 27 28 31 32 33 34 36 37 38 40 43 44 47 49 50 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 101 102 103 104 107 108 109 110 +1 1 1 0 -1 -1 -1 0 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 19 20 22 23 24 25 26 27 28 29 31 35 36 37 38 40 42 44 46 48 50 51 52 53 55 57 59 61 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 82 84 85 86 87 88 89 91 92 93 95 97 99 100 101 102 103 104 105 107 111 +1 0 1 0 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 26 28 30 32 34 35 37 40 41 43 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 1 -1 0 1 0 : 0 3 4 5 6 8 9 11 12 13 14 16 17 19 20 21 22 26 27 29 30 31 32 34 35 36 38 40 41 42 43 45 47 48 50 53 55 56 58 60 61 62 63 65 67 69 71 72 74 76 77 78 79 81 83 84 85 86 87 89 91 92 93 94 95 96 97 98 99 102 103 105 106 107 108 110 111 +1 1 -1 -3 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 21 22 23 24 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 48 50 52 53 54 57 58 59 61 62 63 65 67 68 70 71 72 74 76 78 80 81 82 85 86 87 89 91 93 95 96 97 99 100 101 102 104 105 107 108 111 +1 1 -1 -1 3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 25 26 27 28 30 34 35 36 43 44 45 46 47 48 49 50 51 52 53 54 56 61 62 63 64 65 66 67 68 69 70 72 77 78 79 80 81 82 83 84 85 86 87 88 89 90 95 97 98 99 100 101 105 107 108 109 110 +1 0 0 1 2 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 44 46 48 50 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 85 87 89 91 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 0 1 1 -1 0 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 35 39 40 41 42 43 45 46 47 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 84 85 86 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 0 0 1 1 1 1 0 0 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 32 33 34 35 36 37 38 39 40 41 44 45 50 51 52 53 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 82 83 84 85 90 91 94 95 96 97 98 99 100 101 102 103 108 109 110 111 +1 1 -1 1 -1 1 -1 -3 -1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 24 26 28 30 31 32 34 36 38 39 40 42 44 45 47 48 50 51 52 54 56 57 58 60 62 63 64 66 68 69 71 72 74 75 77 79 80 81 83 84 86 87 88 90 92 93 95 96 98 99 101 103 104 105 107 109 111 +1 1 -1 -1 1 1 0 0 1 : 1 2 4 6 7 9 10 12 13 14 15 16 17 18 19 21 22 25 26 27 28 29 31 32 35 36 39 40 41 42 43 44 45 46 47 48 49 50 51 52 55 56 59 60 63 64 65 66 67 68 71 72 75 76 79 80 81 82 83 84 85 86 87 88 91 92 95 96 99 100 103 104 106 107 108 109 110 +1 3 3 -1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 39 40 45 46 47 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 1 -1 -3 -1 -3 : 0 2 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 26 27 28 29 30 32 34 35 37 39 40 41 42 43 44 46 49 51 52 54 57 59 60 61 62 63 64 66 68 70 73 75 76 77 78 79 80 82 84 85 86 87 88 90 92 93 95 96 97 98 99 102 103 104 105 106 108 110 111 +1 0 1 0 1 -1 0 -1 0 : 0 3 5 6 7 8 9 10 11 12 14 16 18 21 23 24 26 27 28 29 30 32 34 35 37 39 40 41 42 43 44 46 49 51 53 55 56 57 58 59 60 62 65 67 68 70 73 75 76 77 78 79 80 82 84 86 89 91 92 93 94 95 96 98 101 102 104 107 109 110 +1 3 1 3 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 37 42 46 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 67 68 69 71 73 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 0 2 -1 1 : 0 1 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 37 38 39 40 41 42 44 45 46 49 50 51 52 53 54 57 58 59 61 62 63 64 65 66 68 69 70 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 97 98 99 103 104 105 106 107 108 +1 3 -1 1 -1 3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 24 26 29 31 32 33 34 36 40 41 42 43 47 48 49 50 51 52 53 54 56 57 58 59 60 64 65 66 67 71 72 73 74 75 77 78 79 80 81 82 84 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 0 1 -1 0 1 0 1 0 : 0 3 5 6 7 8 10 13 15 16 17 18 19 20 22 24 25 27 29 30 31 32 33 34 36 38 41 43 44 46 49 51 52 53 54 55 56 58 60 61 62 63 64 66 69 71 72 73 74 75 77 79 80 81 82 83 84 86 89 91 92 94 97 99 100 102 104 107 109 111 +1 0 0 0 0 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109 110 111 +1 1 -1 0 1 -1 0 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 23 24 25 27 28 29 32 33 35 36 37 39 40 41 44 45 46 47 48 49 51 53 54 55 58 59 60 61 62 63 65 66 67 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 102 103 106 107 108 110 111 +1 2 0 1 0 0 0 1 0 : 0 3 4 7 10 13 16 17 19 20 21 22 23 24 28 31 35 37 39 41 43 45 47 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 71 73 75 77 79 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 2 0 -1 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 24 26 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -3 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 25 27 28 29 33 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 52 56 57 58 63 64 69 70 71 75 76 77 78 79 81 82 83 84 85 86 88 89 90 91 92 96 97 98 100 102 106 107 108 110 111 +1 1 3 1 -1 3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 41 44 45 46 47 50 52 54 55 56 57 59 60 61 62 63 65 69 72 73 74 75 78 80 81 82 83 84 85 87 88 89 90 91 93 96 97 98 99 101 102 103 106 107 109 111 +1 1 1 3 1 1 -3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 19 20 21 23 24 27 29 31 32 33 34 35 36 38 39 42 43 46 47 49 50 51 52 53 54 56 57 60 61 64 65 67 70 71 73 74 75 77 78 79 80 81 82 84 85 88 89 91 92 93 95 96 97 98 99 100 103 105 107 108 109 110 111 +1 1 1 1 -1 1 0 1 0 : 0 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 25 27 29 30 31 32 33 35 36 38 41 43 44 45 46 47 48 50 53 55 56 57 58 59 60 62 65 67 69 71 72 73 74 75 76 78 81 83 84 85 86 87 88 89 90 91 93 95 96 97 98 99 101 103 105 106 107 108 109 111 +1 1 -1 1 3 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 12 13 14 16 20 21 22 23 24 25 26 27 28 29 33 34 39 40 41 42 43 44 45 46 47 51 53 54 55 56 57 58 60 61 62 63 65 66 67 68 72 73 74 75 76 77 78 79 80 87 88 89 90 91 92 93 94 95 99 101 102 106 107 108 109 110 111 +1 1 0 1 -1 0 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 41 44 45 46 47 50 52 53 54 55 56 57 59 60 61 62 63 65 69 72 73 74 75 78 80 81 82 83 84 85 87 88 89 90 91 93 96 97 98 99 101 102 103 106 107 109 111 +1 1 3 1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 17 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 50 52 54 55 58 62 65 69 72 73 75 76 77 79 80 81 82 83 84 85 87 88 89 90 91 92 93 94 95 96 97 98 99 103 106 107 109 110 111 +1 1 1 1 -1 1 -1 1 -3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 25 27 29 30 31 33 35 36 37 39 40 42 43 45 46 48 49 51 52 54 55 57 58 60 61 63 64 66 67 68 70 71 73 74 76 77 79 80 82 83 85 86 88 89 91 92 94 95 97 98 101 103 105 106 107 109 111 +1 0 0 0 1 0 -2 0 1 : 0 1 2 3 5 6 8 9 10 12 13 14 15 17 19 20 22 25 27 29 30 32 34 36 38 39 41 42 43 44 45 47 48 49 50 53 54 55 56 58 59 60 61 62 64 65 67 69 70 71 72 74 75 76 77 78 80 81 83 84 86 87 89 90 91 92 93 95 96 97 98 101 103 105 106 108 110 +1 3 1 -1 -1 -1 3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 27 28 30 32 36 38 39 42 43 46 47 49 50 51 54 55 57 58 59 61 62 63 64 65 66 68 69 70 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 3 -1 1 -3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 25 26 27 28 29 30 31 32 34 35 37 40 41 42 43 44 45 47 48 50 51 54 56 57 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 80 81 83 84 85 86 87 90 92 93 94 95 97 100 102 103 105 107 109 110 +1 1 3 1 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 39 40 41 42 43 44 48 49 50 51 53 54 55 56 57 58 63 64 65 66 67 68 69 70 71 75 76 77 78 79 80 84 85 86 87 89 90 91 92 93 94 95 99 101 102 106 107 108 109 111 +1 1 -1 0 0 2 0 0 0 : 4 5 6 7 8 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 40 41 42 43 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 1 -1 3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 26 28 29 30 31 32 34 35 36 37 38 39 41 42 43 44 45 48 49 50 51 52 53 56 57 58 59 62 63 64 65 68 69 72 73 74 75 78 79 80 81 86 87 88 89 92 93 94 95 98 99 100 101 103 104 105 106 107 109 +1 1 -1 1 1 1 -1 3 3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 24 25 26 28 29 30 31 32 38 39 40 41 44 45 48 49 50 51 52 53 56 57 58 59 60 61 62 63 65 66 67 68 69 70 71 74 75 78 79 80 81 86 87 88 89 92 93 96 97 98 99 103 104 105 106 107 109 110 111 +1 1 3 -1 -1 1 -1 3 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 26 27 29 30 31 32 33 34 35 36 37 38 41 42 43 44 46 48 49 50 52 54 56 57 58 60 62 63 64 66 68 69 71 72 73 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 103 104 105 107 109 +1 0 1 0 1 0 1 0 -1 : 0 1 3 5 6 8 10 11 13 14 15 17 19 20 22 24 26 28 29 31 32 33 34 35 36 37 39 40 41 42 45 47 48 50 52 53 54 56 57 59 60 62 65 67 69 71 72 74 77 78 79 80 82 83 84 86 89 91 92 94 95 97 98 99 101 103 105 106 108 110 +1 1 1 -1 1 -1 1 1 -3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 26 29 30 31 32 34 36 37 38 41 42 43 44 47 48 49 50 53 54 55 56 59 60 61 62 65 66 67 68 71 72 73 74 77 78 79 80 83 84 85 86 89 90 91 92 95 96 97 98 100 102 105 106 107 108 110 +1 0 1 -1 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 16 19 20 21 22 23 24 25 26 27 28 29 30 33 34 36 39 40 43 44 47 48 51 53 54 55 57 58 59 61 62 63 65 66 67 68 69 70 72 73 74 76 77 78 80 81 82 84 87 88 91 92 95 96 99 100 103 104 107 108 111 +1 3 -1 1 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 18 19 22 23 24 25 26 27 30 31 38 40 42 43 44 46 47 48 49 50 51 52 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 0 0 1 1 1 : 2 3 4 5 6 7 9 10 11 12 13 14 16 20 21 22 23 24 27 28 29 30 31 32 35 36 37 38 39 40 44 48 49 50 51 52 53 54 55 59 63 64 65 66 67 68 72 73 74 75 76 77 78 79 80 87 88 89 90 91 92 93 94 95 99 100 103 104 105 106 107 108 111 +1 1 -1 -1 -3 -1 1 3 1 : 0 2 3 4 5 7 8 9 10 11 12 14 15 17 18 19 21 23 25 27 28 29 31 33 34 35 36 37 38 39 41 42 43 44 45 47 48 50 51 53 54 55 57 59 60 62 63 64 66 69 70 71 73 75 76 78 79 80 82 85 87 88 89 91 92 94 96 97 98 100 101 102 104 106 107 108 110 +1 1 3 -1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 38 41 44 46 47 50 52 54 55 58 60 61 62 63 64 66 67 68 69 70 71 72 73 74 75 76 77 79 80 81 82 83 84 85 87 88 89 90 91 93 96 97 99 100 101 103 106 107 109 +1 1 -1 1 -1 0 1 -1 0 : 0 1 2 4 7 8 9 11 12 13 15 16 18 19 20 22 23 24 26 27 29 30 31 33 34 36 38 39 40 42 43 45 46 49 50 52 53 54 55 56 57 58 59 60 62 63 64 66 67 69 70 73 74 76 77 79 80 81 83 84 86 87 88 90 91 93 94 97 98 101 102 104 105 106 108 109 111 +1 1 1 -1 1 -3 -1 -3 1 : 0 1 3 5 6 7 8 9 10 12 13 15 16 18 19 21 22 23 24 26 27 28 30 31 33 34 36 38 41 43 44 45 46 48 49 51 52 54 55 57 58 59 60 62 65 67 68 69 70 72 73 75 76 77 78 79 80 82 83 84 86 89 91 92 93 94 96 97 99 100 102 103 104 106 107 109 110 +1 1 1 1 3 -1 3 1 -1 : 0 1 2 3 4 6 8 10 11 12 13 14 15 16 17 19 21 22 25 26 27 29 31 32 34 35 36 37 40 41 42 46 47 48 50 51 52 53 55 56 57 61 62 63 66 67 68 69 71 72 73 77 78 79 82 83 84 86 87 88 89 91 92 93 94 95 97 98 99 101 102 103 105 107 108 110 111 +1 1 -1 1 1 -1 1 -1 3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 27 29 30 31 33 36 37 39 40 42 43 45 46 48 49 51 53 54 56 57 59 60 62 63 65 66 68 70 71 73 74 76 77 79 80 82 83 84 85 87 88 90 91 93 94 96 97 99 102 104 105 106 108 110 111 +1 1 0 -1 0 0 1 0 1 : 0 2 3 5 6 9 11 12 14 16 17 18 19 21 23 24 27 29 30 32 35 36 38 39 41 42 43 45 46 47 48 50 51 52 54 57 59 61 63 64 66 69 70 71 72 74 75 76 78 79 81 82 83 85 87 88 90 92 94 97 99 100 101 102 104 106 107 108 109 110 +1 1 -3 -1 1 1 3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 25 26 27 28 29 30 31 33 34 35 38 39 40 42 43 44 46 47 48 49 50 51 53 54 55 58 59 62 63 64 66 67 68 69 72 73 74 76 77 78 81 82 83 84 85 87 88 89 92 93 96 97 98 100 103 104 105 108 109 110 +1 0 0 0 1 1 0 2 0 : 0 3 4 5 6 7 9 10 11 12 13 14 15 16 18 21 23 25 26 28 31 33 34 36 38 40 41 42 43 44 45 46 47 49 51 52 54 56 57 58 59 60 61 62 63 65 67 68 70 72 73 74 75 76 77 78 79 81 83 84 86 88 89 90 91 92 93 94 95 97 99 101 102 104 107 109 110 +1 1 0 0 1 0 0 -2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 25 28 31 34 36 37 38 39 40 41 42 43 44 46 48 50 52 53 54 55 56 57 58 59 60 62 64 66 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 100 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 -3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 24 25 26 27 30 31 32 33 38 39 40 41 44 46 47 48 49 50 52 54 55 56 57 58 60 61 62 63 65 66 67 69 70 71 72 73 75 78 79 80 81 86 87 88 89 92 94 95 96 97 98 102 103 104 105 108 109 110 111 +1 0 2 0 -1 1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 101 102 109 110 +1 1 -1 -1 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 18 19 22 23 25 26 28 29 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 51 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 86 88 89 90 91 92 93 94 95 98 100 101 102 103 106 107 109 110 +1 1 -1 1 1 1 3 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 27 28 29 32 36 37 39 40 42 43 44 46 47 50 51 52 54 55 58 59 62 63 65 66 67 68 69 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 98 99 103 106 107 108 109 110 111 +1 1 -1 -1 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 26 28 29 31 32 34 35 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 63 64 66 67 68 70 71 72 74 76 77 79 80 82 83 84 85 87 88 90 91 93 95 96 97 99 100 101 103 104 106 107 109 +1 1 1 1 -3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 25 26 28 30 32 34 35 36 38 39 42 44 45 47 48 49 50 51 52 53 54 55 56 58 59 61 64 65 67 68 69 70 71 72 74 75 77 80 81 83 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86 87 90 91 94 95 97 98 99 101 102 103 104 106 108 111 +1 0 0 0 0 0 1 2 1 : 0 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 38 39 40 41 43 44 45 47 48 50 51 52 53 55 56 58 59 60 62 63 64 65 67 68 69 71 72 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 95 96 98 99 103 104 105 106 107 108 +1 1 -1 -1 3 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 19 20 21 22 23 25 29 30 31 32 33 34 35 37 38 39 40 41 42 44 45 46 47 48 49 50 52 53 54 56 59 60 61 62 64 67 68 69 70 72 75 76 77 78 80 83 84 87 89 90 91 92 95 97 98 99 100 101 102 103 104 105 106 110 +1 3 -1 -1 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 25 28 29 31 32 33 35 36 37 39 41 43 44 45 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 1 -1 -1 1 -3 -3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 18 19 20 21 22 25 26 28 29 30 31 32 35 38 39 40 41 44 45 48 49 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 84 85 86 88 89 90 91 92 93 94 95 98 99 101 102 104 105 106 107 108 111 +1 1 -1 0 0 0 0 -1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 29 31 32 33 34 35 36 38 39 40 41 42 44 45 46 48 50 51 52 53 54 56 58 59 60 62 63 64 65 66 70 71 72 73 76 77 82 83 84 85 90 91 94 95 96 97 100 101 102 103 104 106 108 109 110 111 +1 0 0 1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 79 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -1 -1 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 28 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 51 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 85 87 89 90 91 93 94 95 96 97 98 100 101 102 103 105 106 107 108 109 110 111 +1 0 0 0 1 1 0 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 18 19 20 21 23 25 26 28 29 30 31 33 34 36 37 39 40 41 44 45 48 49 50 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1 1 -1 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 36 39 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 84 87 89 90 91 93 94 95 96 97 98 100 101 102 103 104 105 106 +1 0 0 0 0 0 2 -1 -1 : 0 1 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 37 38 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 65 66 67 69 70 71 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 96 97 98 103 104 105 106 107 108 +1 0 1 1 0 -1 0 -1 0 : 0 3 5 6 7 8 10 13 15 16 17 18 19 20 22 25 26 27 28 29 30 32 34 35 37 39 40 41 42 43 45 47 48 49 50 51 52 54 57 59 60 62 65 67 68 70 73 75 76 78 81 83 84 85 86 87 88 90 92 93 94 95 96 98 100 102 104 107 109 111 +1 0 1 0 0 0 1 1 1 : 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 24 25 26 30 31 32 33 34 35 36 37 38 39 40 44 48 49 50 51 52 56 57 58 59 60 61 62 63 64 68 69 70 71 75 79 80 81 82 83 87 88 89 90 91 92 93 94 95 99 103 104 105 106 107 108 +1 0 0 0 0 0 0 1 -1 : 0 1 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15 17 18 19 20 21 22 23 24 26 29 30 33 35 37 38 40 41 42 43 44 47 48 49 50 51 52 53 54 55 56 59 60 61 62 63 65 66 68 71 72 73 74 75 77 78 80 81 82 83 84 85 86 87 89 90 92 93 94 95 96 99 100 102 105 106 109 111 +1 1 -1 0 1 1 0 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 18 19 20 21 23 24 25 26 27 29 31 32 35 36 37 40 41 42 44 45 46 48 49 50 51 54 55 56 58 59 60 62 63 64 65 66 67 68 69 71 72 73 76 77 80 81 82 85 86 87 90 91 94 95 96 98 99 100 103 104 106 108 109 110 111 +1 1 0 0 2 1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 25 26 33 34 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 0 -1 1 1 0 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 25 26 28 29 30 31 33 34 35 38 39 40 42 43 44 46 47 48 49 50 51 53 54 55 58 59 62 63 64 66 67 68 69 72 73 74 76 77 78 80 81 82 83 84 85 87 88 89 92 93 96 97 98 100 103 104 105 108 109 110 +1 3 -1 -1 1 3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 25 26 28 30 32 33 35 37 40 41 42 43 44 45 47 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 84 86 87 88 89 91 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 1 1 -3 1 -3 : 0 2 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 25 26 27 28 29 30 32 35 37 39 40 41 42 43 44 45 46 47 48 49 50 52 54 57 59 61 63 64 65 66 67 68 70 73 75 77 79 80 81 82 83 84 85 86 87 88 90 92 94 97 99 100 103 105 106 107 108 109 110 +1 1 1 0 0 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 34 35 36 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 72 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 96 100 101 102 103 104 106 110 111 +1 1 1 -1 1 1 -1 3 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 27 28 29 31 33 34 36 37 38 41 42 43 45 46 47 49 51 52 54 56 57 58 60 61 62 65 66 67 69 70 71 73 75 77 79 80 81 83 84 85 86 89 90 91 93 94 95 97 99 100 103 104 105 107 109 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97 99 100 102 103 104 105 107 110 111 +1 0 1 0 -1 0 -1 0 1 : 0 1 3 5 6 8 10 11 13 14 15 17 19 20 22 24 25 26 27 28 30 31 33 35 36 38 41 43 44 46 47 49 50 51 53 55 56 58 61 62 63 64 66 67 68 69 70 72 73 75 76 78 81 83 84 85 87 88 89 90 93 95 96 98 101 103 105 106 108 110 +1 1 1 -1 -3 -1 -3 1 1 : 0 1 2 3 4 5 8 10 11 12 13 14 15 17 18 19 22 23 24 25 26 27 30 31 32 34 36 37 39 40 41 45 46 47 50 51 52 53 56 57 58 62 63 64 66 67 68 69 70 71 72 73 75 76 77 78 81 82 83 84 85 87 88 89 93 94 95 98 99 100 101 102 103 106 107 108 110 +1 1 -1 -1 1 -1 1 3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 25 27 28 29 30 31 33 35 36 37 38 39 42 43 44 45 47 48 49 50 51 54 55 56 57 60 61 62 63 66 67 70 71 72 73 76 77 78 79 82 83 84 85 88 89 90 91 94 95 96 97 100 102 104 105 106 107 108 110 +1 1 0 0 0 0 1 0 -2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 36 37 38 40 41 43 44 45 47 48 49 50 52 53 55 56 57 58 60 61 62 64 65 67 68 69 71 72 73 74 76 77 78 80 81 83 84 85 86 88 89 91 92 93 95 96 97 98 100 101 102 104 105 106 107 108 109 110 111 +1 1 3 1 3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 63 65 66 67 68 75 76 77 78 79 80 81 82 83 87 89 90 91 92 93 94 95 96 97 98 99 101 106 107 108 109 110 111 +1 3 -1 -1 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 27 28 29 32 33 34 35 36 37 38 39 41 42 43 45 46 47 50 51 53 54 55 58 59 62 63 64 66 67 69 70 71 74 75 78 79 80 82 83 86 87 88 90 91 92 94 95 96 97 99 100 101 102 104 105 106 107 108 109 110 111 +1 0 0 1 -1 0 0 -2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 45 47 49 51 52 54 56 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 79 81 83 84 86 88 90 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 1 0 0 0 0 0 1 -2 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 28 29 30 31 36 37 38 40 42 43 44 46 47 48 49 50 52 54 55 56 57 58 60 61 62 64 66 67 68 70 71 72 73 74 76 77 78 80 82 83 84 85 86 88 90 91 92 94 95 96 97 98 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 -3 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 34 35 37 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 66 68 69 71 73 76 77 78 79 80 81 82 83 84 86 87 88 89 90 91 92 93 95 97 100 101 102 103 105 107 110 111 +1 1 1 -2 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 0 -1 -1 0 1 : 0 1 3 4 5 7 8 9 11 12 14 15 18 19 21 22 23 25 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 51 52 53 54 56 58 60 61 63 65 67 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 100 101 102 103 104 106 107 110 +1 1 0 0 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 69 72 73 75 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 103 106 107 109 111 +1 3 1 -3 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 27 30 31 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 93 96 97 99 100 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 -1 -3 -1 -3 1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 17 18 20 21 23 25 26 27 28 30 31 33 35 36 38 41 43 44 46 47 49 50 51 52 53 54 56 57 59 60 62 65 67 68 69 70 72 73 75 76 78 81 83 84 85 86 87 88 90 91 92 93 94 96 97 99 101 102 103 104 106 107 109 111 +1 0 0 1 0 -1 0 -1 -1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 17 18 19 22 24 26 28 29 30 31 33 35 38 39 41 42 43 44 45 48 49 51 52 54 55 58 59 60 61 62 64 65 68 69 72 73 75 78 79 81 82 83 84 85 86 88 89 92 94 95 98 99 100 102 104 105 106 107 109 111 +1 0 0 1 1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 22 23 24 25 28 29 30 31 34 35 37 38 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9 11 12 14 15 17 18 20 21 23 24 25 26 28 29 31 32 34 36 38 40 41 42 45 47 48 49 51 52 53 54 56 57 58 59 60 61 63 64 65 66 67 68 70 71 72 74 77 78 79 81 83 84 86 88 89 90 93 95 96 97 99 101 103 104 106 107 109 110 111 +1 1 -1 -3 -1 -3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 23 24 26 27 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 50 52 54 55 56 57 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 100 101 102 104 105 108 109 111 +1 1 1 0 0 0 0 2 0 : 0 3 4 7 10 13 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 -1 1 -3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 34 35 39 40 41 42 43 45 46 47 48 49 50 52 56 57 58 59 63 64 65 66 67 68 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 88 92 93 94 95 99 100 102 106 107 108 109 110 +1 0 1 1 -1 1 0 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 25 27 30 31 32 33 35 36 37 38 40 41 44 45 46 47 48 49 50 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 84 85 87 88 89 90 91 92 93 96 97 99 100 101 102 104 105 106 107 109 110 111 +1 1 1 -1 -3 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 11 12 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 68 69 70 71 72 73 75 77 78 79 80 81 82 84 85 87 89 91 92 93 94 96 98 100 101 102 103 104 106 107 110 +1 1 0 -1 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 16 17 18 20 21 23 24 27 29 30 32 35 37 38 39 40 42 43 44 46 47 49 50 51 53 55 56 58 60 62 65 67 68 70 71 73 74 75 77 78 79 80 82 83 84 86 89 91 93 95 96 98 100 101 102 104 105 107 108 109 110 +1 1 1 1 0 1 -1 -1 0 : 1 2 3 4 5 6 8 9 10 13 14 15 17 18 19 20 23 25 27 28 29 30 33 34 35 37 38 39 40 43 45 46 47 48 51 52 55 56 57 58 60 63 64 65 66 68 71 72 73 74 76 79 80 81 82 84 85 86 88 89 90 91 92 93 94 96 97 98 99 101 103 104 105 106 109 110 111 +1 1 1 -3 1 1 1 1 -3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 20 21 22 23 24 29 30 31 32 33 34 35 36 37 38 40 43 44 47 49 50 51 52 53 54 56 59 60 63 65 66 67 68 71 73 74 75 77 78 79 80 81 82 83 84 87 89 90 91 93 94 95 96 97 98 100 105 106 107 108 109 110 111 +1 1 -1 -3 -3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 34 35 36 37 38 39 40 41 42 43 47 49 50 51 55 57 58 59 60 61 62 63 64 65 66 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 110 111 +1 1 1 -1 1 -3 3 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 24 26 27 30 31 32 33 34 38 39 40 41 45 46 47 48 49 51 52 54 55 56 57 58 62 63 64 65 69 70 71 72 73 75 76 77 78 79 80 82 83 86 87 88 89 93 94 95 96 97 99 100 102 103 106 107 108 109 110 +1 3 -3 1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 79 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -1 3 -3 1 -1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 22 23 24 25 26 27 29 31 32 33 37 38 39 40 41 43 46 47 48 49 54 55 56 57 60 62 63 64 65 66 68 69 70 72 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 94 95 96 97 100 101 102 103 105 107 108 109 +1 0 0 0 1 1 -1 1 0 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 21 22 23 25 26 27 28 31 32 33 34 36 38 39 41 42 45 46 48 49 51 52 54 55 57 58 61 62 64 65 67 68 70 71 73 74 77 78 80 81 83 84 86 87 89 90 93 94 96 97 99 101 102 103 104 107 108 109 110 +1 3 -3 -1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 60 61 62 63 64 65 66 67 68 75 76 77 78 80 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -3 -1 3 1 -1 : 0 1 2 3 4 6 8 9 10 11 12 13 15 16 17 19 21 22 24 25 27 28 30 32 33 34 37 38 39 42 43 44 45 47 48 49 52 53 54 55 57 58 59 60 62 63 64 65 67 70 71 72 74 75 76 77 80 81 82 85 86 87 90 91 92 93 95 96 97 101 102 103 105 107 108 110 111 +1 1 0 -1 -1 1 1 0 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 25 26 27 29 30 32 33 34 35 36 38 39 40 41 42 43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 69 70 71 72 73 74 75 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 +1 1 -1 -1 1 1 1 1 1 : 2 3 6 7 12 13 14 15 16 17 18 19 25 26 27 28 29 35 39 41 42 43 45 46 47 48 49 50 51 52 59 63 65 66 67 68 75 79 81 82 83 84 85 86 88 92 99 100 106 107 108 109 110 +1 0 0 0 0 1 0 1 2 : 0 1 2 3 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 37 38 39 40 41 42 44 45 47 48 50 51 52 53 55 56 58 59 61 62 63 64 65 66 68 69 71 72 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 95 96 98 99 102 104 105 106 107 109 +1 1 3 -1 1 -3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 40 41 42 43 44 45 46 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 71 72 76 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 100 102 103 104 106 109 110 +1 1 -1 -1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 17 20 21 23 27 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 50 52 54 55 58 62 65 68 70 71 74 78 81 86 89 93 96 97 99 100 101 102 104 105 108 +1 1 1 -1 -1 -1 -1 3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 36 37 38 39 40 41 44 45 50 51 52 53 58 59 62 63 64 65 66 67 69 70 71 72 73 74 75 76 77 78 79 80 81 84 85 86 87 88 89 92 93 98 99 100 101 102 103 104 105 106 107 +1 1 1 1 -1 -1 1 -3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 25 26 28 30 31 32 35 36 37 38 41 42 43 45 46 47 49 51 52 54 56 57 58 60 61 62 65 66 67 68 70 72 73 74 76 77 78 81 82 83 84 86 87 88 90 92 94 96 97 98 101 102 104 106 107 108 111 +1 0 1 1 1 -1 1 1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 26 29 30 31 32 34 35 36 37 38 40 41 42 43 44 47 48 49 50 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 85 86 87 88 91 92 93 94 95 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 0 0 1 0 -1 0 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 15 16 17 18 20 22 24 26 28 29 30 31 33 35 36 37 40 41 43 46 47 49 50 51 52 53 54 56 57 60 62 63 66 67 70 71 73 74 75 76 77 80 81 83 84 86 87 90 91 92 93 94 96 97 100 102 104 105 106 107 109 111 +1 1 -3 -1 1 1 -1 -3 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 25 26 27 29 30 31 32 33 34 35 36 38 40 41 42 44 45 46 48 49 50 51 52 54 55 56 58 60 62 64 65 66 69 71 72 73 75 76 77 79 80 82 83 85 86 87 89 91 93 95 96 97 99 100 103 104 106 107 109 110 +1 1 1 -1 1 3 -1 -3 -1 : 0 2 3 4 5 6 8 9 10 11 13 15 16 18 20 21 22 23 24 26 27 28 29 31 33 34 37 39 40 42 44 45 47 48 49 50 53 54 55 56 58 59 61 63 64 66 68 69 71 72 73 74 76 78 79 80 81 82 83 85 87 88 90 92 93 95 96 97 98 100 102 103 104 105 107 109 110 +1 0 0 0 1 1 0 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 18 19 20 21 23 25 26 28 29 30 31 33 34 37 38 39 42 43 46 47 48 50 51 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 85 86 87 90 91 94 95 96 98 99 101 102 104 105 106 107 109 110 +1 0 0 2 1 0 0 0 1 : 1 2 5 6 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 34 35 36 37 38 39 40 41 42 43 44 47 49 50 53 54 56 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 78 80 83 84 87 89 90 92 93 94 95 96 97 98 99 100 101 105 106 110 111 +1 1 -1 -1 -3 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 11 12 13 14 15 18 19 21 22 23 25 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 46 47 48 49 51 52 53 54 56 58 60 61 63 65 67 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 100 101 102 103 104 106 107 110 +1 1 -1 -1 1 0 0 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 23 25 26 27 28 30 32 33 35 37 38 39 40 41 43 44 45 46 47 48 49 50 51 54 55 56 57 61 62 63 64 65 67 70 71 72 73 77 78 79 80 81 83 84 86 87 88 89 90 94 95 96 97 100 102 103 105 107 108 109 110 +1 0 0 0 0 1 0 -2 -1 : 0 1 2 3 4 5 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 37 38 39 40 41 42 44 45 47 48 50 51 52 53 55 56 58 59 61 62 63 64 65 66 68 69 71 72 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 95 96 98 99 102 104 105 106 107 109 +1 1 -1 -1 1 1 -1 3 -3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 18 19 20 21 22 25 26 28 29 30 31 32 35 36 37 40 41 42 43 44 45 46 47 49 50 51 54 55 56 57 60 61 64 65 66 67 70 71 72 73 76 77 80 81 82 83 84 85 86 87 90 91 94 95 96 97 100 103 104 105 106 107 109 110 +1 1 2 0 0 0 1 0 0 : 0 1 2 3 9 14 17 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 40 41 44 45 48 49 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 0 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 56 57 58 63 64 68 72 73 74 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 103 104 105 109 111 +1 0 0 0 0 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 37 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 66 68 69 70 71 72 73 74 75 77 82 85 90 92 93 94 95 96 97 98 99 102 103 104 105 106 107 108 109 +1 1 1 1 1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 22 23 26 27 28 30 32 33 34 35 37 38 39 40 41 43 46 47 48 49 54 55 56 57 60 62 63 64 65 66 70 71 72 73 76 78 79 80 81 82 84 86 87 88 89 90 92 93 94 95 96 97 98 99 102 103 104 106 108 109 110 111 +1 0 0 1 0 -1 -1 1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 16 17 19 20 21 24 26 27 28 31 32 33 35 37 38 40 42 43 45 46 48 50 51 52 53 55 57 58 60 61 63 65 66 69 70 72 74 75 77 78 80 82 83 84 85 87 89 90 92 93 95 97 98 100 102 103 104 107 108 109 111 +1 3 1 1 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 19 21 22 23 29 31 32 33 34 35 36 43 47 49 50 51 55 57 58 59 61 62 63 64 65 66 67 71 73 74 75 77 78 79 80 81 82 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 25 26 27 30 31 32 33 35 38 39 40 41 44 46 47 48 49 50 53 54 55 56 57 59 62 63 64 65 69 70 71 72 73 75 78 79 80 81 84 85 86 87 88 89 90 91 93 94 95 96 97 99 101 102 103 106 107 108 109 111 +1 3 1 3 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 28 29 32 33 34 35 36 37 39 41 45 50 52 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 -2 0 0 0 -1 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 24 25 26 27 28 29 31 32 33 34 35 37 38 40 43 44 45 46 47 48 49 50 51 52 55 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 79 81 82 84 85 86 87 88 89 90 91 93 94 96 99 101 105 106 110 +1 1 1 1 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 17 19 21 23 27 29 31 33 34 35 36 38 39 42 46 49 54 57 61 64 65 67 70 73 77 80 81 83 85 88 89 91 92 93 95 96 97 98 99 103 105 107 109 110 111 +1 3 1 1 -1 -1 3 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 25 26 27 28 29 32 35 38 39 41 42 43 45 46 47 48 49 50 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 84 85 86 87 88 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 0 1 0 0 0 1 1 -1 : 1 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 24 25 26 29 31 32 33 34 35 36 40 41 42 43 44 45 46 47 48 52 53 54 55 56 60 64 65 66 67 71 72 73 74 75 76 77 78 79 83 84 85 86 87 91 95 96 97 98 99 103 104 105 106 107 108 +1 1 -1 -1 1 -1 1 -1 -3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 25 27 29 30 31 33 35 37 38 40 41 43 44 46 47 49 50 52 53 55 56 58 59 61 62 64 65 67 68 69 71 72 74 75 77 78 80 81 83 84 86 87 89 90 92 93 95 96 98 99 100 102 104 105 106 108 110 +1 1 -1 -1 -1 -3 1 3 1 : 0 2 3 4 5 6 8 9 10 11 13 15 16 17 18 19 21 23 26 27 28 29 31 33 34 35 36 37 38 39 40 41 43 45 46 47 48 50 51 53 54 55 56 58 59 61 63 64 66 69 70 71 72 74 75 77 79 80 82 85 87 88 90 92 93 95 96 97 98 100 101 102 104 106 107 108 109 +1 1 -1 1 -3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 25 26 27 28 30 34 37 38 39 40 41 42 43 44 45 46 48 52 53 54 55 56 57 58 59 60 67 71 73 74 75 76 77 78 79 80 81 82 85 86 87 88 89 90 91 92 93 94 96 101 105 107 108 109 110 111 +1 1 -3 3 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 39 41 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 89 93 98 100 101 102 103 106 107 111 +1 1 0 0 0 1 1 1 0 : 1 2 3 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 39 41 42 43 44 47 49 50 51 52 55 57 58 59 60 63 65 66 67 68 71 73 74 75 76 79 81 82 83 84 87 89 90 91 92 95 97 98 99 100 101 105 106 107 108 109 110 111 +1 1 1 -3 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 19 20 21 22 23 24 25 27 28 30 31 33 35 36 38 40 41 42 44 46 47 48 50 53 55 56 57 59 61 62 63 65 67 68 69 70 72 73 74 75 76 78 80 81 82 84 85 87 88 90 91 93 95 96 97 99 100 101 103 104 106 107 109 111 +1 1 -1 -1 1 -1 -3 -3 -1 : 1 2 3 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 25 27 28 30 31 32 33 35 36 37 38 39 40 43 44 45 46 48 49 50 51 52 55 56 59 60 61 62 63 64 67 68 71 72 75 76 77 78 79 80 83 84 87 88 89 90 91 92 95 96 99 100 102 103 104 105 107 108 110 +1 1 1 3 1 3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 17 18 19 20 21 22 23 24 26 28 29 32 33 34 35 36 37 38 39 41 44 45 46 47 50 53 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 79 80 82 83 86 88 89 90 91 92 94 95 96 97 98 99 100 102 104 105 108 109 110 111 +1 1 -1 3 3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 31 32 33 34 35 37 38 39 40 41 42 43 44 45 46 48 52 53 54 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 100 101 102 103 104 106 110 111 +1 1 1 -1 -1 3 1 -1 -3 : 0 1 2 4 5 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 32 33 36 38 39 40 42 43 45 46 49 50 53 54 57 58 60 61 63 64 65 67 68 69 71 72 73 74 75 76 78 79 80 82 83 84 86 87 88 90 91 93 94 97 98 100 101 102 104 105 106 108 109 +1 1 0 0 0 1 0 0 -2 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 26 29 30 33 36 37 38 39 40 43 44 45 46 47 49 50 52 53 54 55 57 58 60 61 62 63 64 67 68 69 70 71 73 74 76 77 78 79 80 83 84 85 86 87 88 91 92 93 94 95 97 98 100 101 103 104 105 106 107 108 109 110 111 +1 0 0 0 1 0 -2 1 0 : 0 1 2 3 4 7 8 9 11 12 13 14 15 17 18 21 22 25 27 28 31 32 34 37 38 39 41 42 43 44 45 46 48 49 50 53 54 55 57 58 59 60 61 62 64 65 66 69 70 71 73 74 75 76 77 78 80 81 82 85 86 87 89 90 91 92 93 94 96 97 98 101 103 104 107 108 110 +1 3 -3 1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -3 -1 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 0 2 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 42 43 44 45 46 47 50 51 52 53 54 55 58 59 60 61 62 63 66 67 68 69 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 92 93 96 97 98 99 102 103 108 109 +1 1 0 -1 1 1 0 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 24 25 26 28 29 30 31 33 34 35 36 37 40 41 42 44 45 46 48 49 50 51 52 53 55 56 57 60 61 64 65 66 70 71 72 74 75 76 78 79 80 81 82 83 85 86 87 90 91 94 95 96 98 99 100 103 104 106 108 109 110 +1 1 0 0 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 37 38 39 41 45 48 49 50 51 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 84 85 86 87 89 93 96 97 98 99 100 101 102 103 106 107 109 110 111 +1 1 3 1 1 1 1 3 1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 54 56 58 59 60 62 63 64 65 67 68 69 71 73 75 77 79 81 82 83 85 87 89 90 91 93 94 95 96 97 98 99 104 106 107 108 109 110 111 +1 1 -1 -1 -3 1 3 1 -1 : 0 1 2 3 5 7 8 9 10 11 12 13 15 16 17 18 20 22 25 26 27 28 30 32 34 35 37 38 39 40 41 42 43 44 45 47 48 50 51 54 55 57 58 59 60 61 64 65 67 70 71 73 74 75 76 77 80 81 83 84 86 87 90 91 92 93 94 96 97 100 101 103 105 107 108 109 110 +1 1 -1 1 1 0 1 0 1 : 0 2 3 5 6 8 10 12 13 14 15 16 18 20 21 22 23 24 25 26 27 28 29 31 33 37 39 40 42 45 46 47 48 50 51 53 54 55 56 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73 74 77 79 80 82 85 87 88 90 93 94 95 96 98 99 102 104 106 107 108 109 110 111 +1 1 1 0 0 -1 0 0 1 : 1 2 4 5 7 8 11 12 15 16 19 20 23 24 25 26 27 28 30 31 32 34 35 36 39 40 43 45 46 49 50 53 54 57 58 60 63 64 67 68 69 70 71 72 75 76 77 78 79 81 82 84 85 86 87 89 90 92 93 94 95 96 99 100 101 102 103 104 106 107 108 110 111 +1 3 1 1 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 19 21 26 27 29 31 34 35 37 42 44 45 47 49 52 53 55 57 60 61 62 63 64 65 67 68 69 71 73 76 77 78 79 80 81 83 84 85 86 87 88 89 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 1 0 -1 0 : 0 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 24 25 26 27 29 30 31 32 37 39 40 42 44 46 48 49 50 51 52 54 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 73 75 77 79 80 82 85 87 88 90 92 94 96 97 98 99 103 104 105 106 108 109 110 111 +1 3 1 -1 1 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 59 60 62 64 66 67 68 69 70 72 74 76 77 78 79 80 81 82 84 86 88 90 91 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 -3 -1 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 25 26 27 28 29 31 32 33 34 35 36 37 39 41 42 44 45 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 78 79 80 81 83 85 86 88 90 91 92 93 95 97 98 100 102 103 105 106 107 110 +1 1 1 -3 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 20 21 23 24 25 27 30 31 32 33 35 38 39 41 42 43 44 46 47 50 51 52 53 56 57 59 60 61 62 64 65 69 70 71 72 73 74 75 78 79 81 82 83 84 85 87 88 90 91 92 93 96 97 99 100 101 103 106 107 108 109 111 +1 1 3 1 3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 51 53 54 55 56 57 58 59 60 61 62 64 68 75 76 77 78 79 80 81 82 83 84 85 86 88 92 93 94 95 96 97 98 99 101 102 103 104 105 110 111 +1 0 1 0 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 26 27 28 29 34 35 39 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 76 77 78 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 0 0 0 0 0 1 0 : 0 3 4 7 10 13 18 21 28 31 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 -1 0 -1 -1 0 -1 : 0 2 3 4 6 7 8 9 11 12 14 15 18 20 21 22 23 25 28 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 52 53 55 57 59 60 61 62 64 66 68 69 71 73 75 76 77 78 80 82 85 87 89 90 91 92 94 96 98 99 100 101 102 103 104 105 107 110 +1 1 -1 -1 1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 25 26 27 28 29 32 33 35 36 37 39 41 42 43 44 45 46 47 48 49 50 51 52 53 58 59 60 61 63 65 66 67 68 69 74 75 76 77 79 81 82 83 84 85 86 88 90 91 92 93 98 99 100 102 103 106 107 108 109 110 +1 1 1 -1 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 24 25 27 28 29 31 32 33 37 38 40 41 42 43 45 46 49 50 53 54 57 58 60 61 62 63 65 66 68 69 70 71 72 73 74 75 77 78 80 81 82 83 85 86 88 89 90 91 93 94 97 98 100 101 103 104 105 107 108 109 +1 1 1 -3 1 3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 18 19 20 21 22 24 26 27 30 31 33 34 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 81 82 83 84 85 86 87 89 92 94 95 96 97 99 100 102 103 106 107 109 110 111 +1 1 1 -3 -1 3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 18 19 20 21 22 24 25 26 28 29 32 33 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 68 70 71 72 73 74 75 78 80 81 82 83 84 85 87 88 90 91 92 93 94 95 98 100 101 102 104 105 108 109 111 +1 1 -1 -1 -1 1 3 -3 1 : 0 1 2 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 26 27 28 29 31 32 34 35 36 37 38 39 40 42 43 45 46 48 49 50 51 53 54 56 57 58 59 61 62 65 66 69 70 72 73 74 75 77 78 81 82 85 86 89 90 92 93 94 95 97 98 100 101 103 104 106 107 108 109 +1 1 1 1 -1 -3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 25 26 27 30 31 33 35 36 37 39 40 42 43 45 48 49 50 51 52 53 54 55 58 60 61 63 64 66 67 68 69 70 71 74 76 77 79 80 82 83 84 85 86 87 89 92 93 94 95 98 101 102 103 106 107 109 111 +1 2 0 0 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 37 38 39 40 42 43 44 46 47 49 50 51 52 54 55 57 58 59 61 62 63 64 66 67 68 70 71 73 74 75 77 78 79 80 82 83 85 86 87 88 90 91 92 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -1 -3 1 -1 -3 : 0 1 2 4 6 7 8 9 11 12 13 15 16 18 19 20 22 23 25 26 28 29 30 32 33 35 37 38 41 42 44 45 47 48 49 51 52 54 55 56 58 59 61 62 65 66 68 70 71 72 74 75 77 78 81 82 84 85 86 87 88 89 91 92 94 95 96 98 99 101 102 104 105 106 108 109 111 +1 1 -1 -1 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 16 17 19 21 26 27 29 31 34 35 36 38 39 40 41 42 43 46 48 50 51 54 56 58 59 61 66 70 72 74 75 77 82 85 90 92 93 95 97 100 101 104 106 108 109 +1 1 -1 1 -1 0 -1 0 1 : 0 1 3 5 6 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 37 39 40 41 42 45 47 48 50 52 53 54 55 56 57 58 59 60 61 63 64 65 66 69 71 72 74 77 78 79 80 82 83 84 85 87 88 89 90 93 95 96 98 101 102 103 104 106 107 109 111 +1 1 3 1 1 1 -3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 28 29 30 31 33 34 35 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 67 68 69 71 72 73 76 77 80 81 82 84 85 88 89 90 92 93 94 96 97 98 99 103 104 106 108 109 110 111 +1 3 1 3 1 1 1 1 1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 30 31 32 33 34 35 36 37 38 40 44 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 -1 -3 -3 1 : 1 2 3 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 27 28 29 31 32 33 34 35 36 37 38 40 41 42 43 44 45 46 47 48 51 52 53 54 55 56 59 60 63 64 67 68 69 70 71 72 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81 82 85 86 87 89 90 91 93 94 95 97 98 99 100 103 104 107 108 111 +1 1 -1 0 -1 0 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 17 18 19 20 21 22 24 26 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 52 53 54 56 57 58 59 60 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 88 89 90 91 95 96 97 98 99 100 101 102 103 104 106 109 111 +1 1 0 1 1 1 -1 1 0 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 27 28 31 32 33 34 35 36 38 39 41 42 45 46 48 49 51 53 54 56 57 59 60 61 63 64 65 66 67 68 70 71 73 74 77 78 80 81 83 85 86 88 89 91 92 93 95 96 97 98 99 103 105 106 107 109 110 111 +1 2 0 0 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 17 18 21 22 27 28 31 32 36 37 38 40 41 42 44 45 46 48 49 50 52 53 54 56 57 58 60 61 62 64 65 66 68 69 70 72 73 74 76 77 78 80 81 82 84 85 86 88 89 90 92 93 94 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 0 1 1 1 0 : 1 2 3 5 6 7 8 9 10 13 14 15 19 20 21 22 23 25 29 30 31 32 33 34 35 36 37 38 40 43 44 45 46 48 51 52 55 57 58 59 60 63 65 66 67 68 71 73 74 75 76 79 81 82 83 85 86 87 88 89 90 91 93 94 95 96 97 98 99 101 105 106 107 108 109 110 111 +1 1 -1 -1 1 3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 19 21 22 23 25 26 27 29 31 32 33 35 36 38 39 40 41 42 44 45 47 48 49 50 51 54 55 56 57 60 62 63 64 65 66 70 71 72 73 76 78 79 80 81 82 85 86 87 88 89 91 94 95 96 97 100 102 103 104 106 108 109 110 +1 1 -1 -1 -1 -3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 26 27 30 31 32 33 34 35 36 37 38 39 41 42 43 44 46 47 48 49 50 52 54 55 56 57 58 62 63 64 65 68 70 71 72 73 74 78 79 80 81 86 87 88 89 93 94 95 96 97 99 100 101 102 103 104 105 108 109 +1 0 2 0 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 92 93 94 95 96 97 98 99 101 102 109 110 +1 1 1 -1 -3 -1 1 3 -1 : 0 1 3 4 6 7 8 9 10 11 12 14 15 17 18 20 21 23 24 25 26 28 29 31 32 34 37 38 39 41 43 44 46 47 48 50 53 55 56 57 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55 56 58 59 60 62 63 64 66 67 68 70 71 72 74 75 76 78 79 80 82 83 84 86 87 88 90 91 92 94 95 96 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 1 1 1 0 1 0 0 0 : 4 5 6 7 8 15 17 18 19 20 21 22 23 25 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 56 57 58 59 64 65 66 67 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 1 2 0 -1 : 0 1 2 3 4 5 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 36 37 38 41 42 43 44 45 47 48 50 51 52 53 55 56 58 59 60 61 62 65 66 67 68 69 71 72 74 75 76 77 78 81 82 83 84 85 86 89 90 91 92 93 95 96 98 99 102 103 105 106 108 109 +1 1 1 3 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 21 22 23 24 26 27 28 30 31 34 35 36 38 40 42 43 44 45 46 48 50 53 55 57 58 59 60 61 63 65 67 68 69 70 72 74 77 78 79 80 81 82 84 85 87 89 91 92 93 94 95 96 97 99 100 102 103 104 106 107 110 111 +1 1 1 1 1 -3 -1 1 3 : 0 1 2 4 5 7 8 9 11 12 13 15 16 17 19 20 21 23 26 27 29 30 31 33 34 35 36 38 39 40 42 43 45 46 49 50 53 54 57 58 60 61 63 64 65 67 69 70 73 74 76 77 79 80 81 83 84 85 87 88 89 91 92 93 94 95 96 98 99 102 103 105 106 107 109 110 111 +1 1 -1 1 -3 -1 1 -1 3 : 0 1 2 5 6 7 8 9 10 11 13 14 15 16 18 19 20 22 24 25 27 29 30 31 33 34 36 38 39 41 42 44 46 47 49 50 52 53 54 55 56 58 59 60 61 63 64 66 67 69 70 72 73 75 77 78 80 81 83 84 86 87 89 90 92 94 95 97 98 101 102 104 105 106 108 110 111 +1 1 0 0 2 0 0 0 -1 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 25 29 30 34 36 39 41 42 44 45 46 47 48 49 50 51 53 54 56 59 60 61 62 63 64 65 66 67 69 70 72 75 76 77 78 79 80 81 82 83 84 87 89 90 92 93 94 95 96 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +1 1 1 -1 1 -1 -1 3 -3 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 26 27 28 29 30 31 34 36 37 42 43 44 45 46 47 48 49 54 55 56 57 58 59 60 61 66 67 68 69 70 71 72 73 77 78 79 80 81 82 83 84 85 90 91 92 93 94 95 96 97 100 102 103 104 105 106 107 110 +1 0 0 1 -1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 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47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 75 79 80 87 88 92 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -3 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 27 28 30 33 34 35 36 40 41 42 44 45 46 48 49 50 51 52 53 54 55 57 58 59 61 62 63 67 68 69 70 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 91 95 96 100 103 104 106 109 110 111 +1 1 1 -1 3 1 -3 -1 -1 : 0 1 2 3 4 5 8 9 10 11 12 13 15 16 17 20 21 22 24 25 27 28 29 32 33 34 38 39 40 42 43 44 45 48 49 50 53 54 55 58 59 60 61 63 64 65 68 70 71 72 73 75 76 77 78 80 81 82 83 86 87 88 90 91 92 93 96 97 98 100 101 103 104 105 108 109 110 +1 1 1 1 -1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 35 36 37 38 41 42 43 44 48 49 50 51 52 53 54 55 59 60 61 62 65 66 67 68 69 70 71 75 76 77 78 81 82 83 84 85 86 87 88 92 93 94 95 99 101 102 103 104 105 109 111 +1 1 1 1 3 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 11 12 14 15 18 19 21 22 23 25 28 29 31 32 33 34 35 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 69 71 73 74 75 76 78 80 82 83 85 86 87 88 89 90 92 94 95 96 97 98 99 101 104 105 107 108 109 110 111 +1 1 1 -1 -1 3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 19 21 22 23 24 25 26 27 28 30 32 33 36 38 39 40 41 42 46 47 48 49 54 55 56 57 61 62 63 64 65 67 68 69 71 72 73 74 75 76 78 79 80 81 82 84 86 87 88 89 90 94 95 96 97 100 101 102 103 104 106 108 109 +1 1 1 1 1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 26 27 28 29 32 33 34 35 36 37 39 41 42 43 44 45 50 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 86 88 90 91 92 93 94 95 96 97 98 99 102 103 104 105 108 109 110 111 +1 3 1 1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 20 26 27 28 30 34 35 36 43 44 45 46 48 52 53 54 56 60 61 62 63 64 65 66 68 69 70 72 76 77 78 79 80 81 82 84 85 86 87 88 89 90 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 -1 -1 3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 30 33 36 40 41 42 43 47 48 49 50 51 55 56 57 58 59 61 62 63 64 65 66 68 69 70 72 73 74 75 76 80 81 82 83 84 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 0 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 30 31 33 34 35 37 38 39 40 42 43 44 46 47 49 50 51 52 54 55 57 58 59 61 62 63 64 66 67 69 71 72 74 76 78 81 83 84 86 89 91 93 95 96 98 100 101 102 104 105 107 108 109 110 111 +1 1 1 0 0 1 0 1 0 : 0 3 5 6 7 8 10 13 15 16 18 21 23 24 25 27 29 30 31 32 33 34 35 36 38 41 43 44 46 49 51 52 54 57 59 60 62 65 67 69 71 72 73 74 75 77 79 80 81 82 83 85 87 88 89 90 91 93 95 96 97 98 99 100 101 103 105 106 107 108 109 110 111 +1 1 1 3 1 -1 1 3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 19 20 21 22 23 24 26 28 29 31 32 34 35 36 38 40 41 42 44 46 47 48 50 53 55 56 57 59 61 62 63 65 67 68 70 71 72 74 76 77 79 80 82 83 85 86 87 89 91 92 93 94 95 97 98 99 100 102 104 105 107 108 110 111 +1 1 1 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 17 18 19 23 25 27 28 29 33 35 39 40 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43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 69 70 71 72 73 74 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 +1 1 1 1 -1 0 1 -1 0 : 0 1 2 4 7 8 9 11 12 13 15 16 18 19 20 22 23 25 26 28 29 30 32 33 35 37 38 41 42 44 45 47 48 49 51 52 54 55 56 58 59 61 62 65 66 68 70 71 72 74 75 77 78 81 82 84 85 86 87 88 89 90 91 92 94 95 96 98 99 101 102 104 105 106 108 109 111 +1 1 0 1 1 0 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 42 44 45 46 47 49 52 53 54 55 57 60 61 62 63 64 65 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 97 98 99 102 103 105 107 109 110 111 +1 1 1 -1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 30 31 32 33 39 41 42 43 44 51 52 59 60 61 62 64 69 70 71 72 73 74 75 79 81 82 83 87 89 90 91 92 99 100 101 106 107 108 109 +1 2 0 -1 0 0 1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 24 27 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 55 58 59 62 63 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 87 90 91 94 95 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 1 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 24 25 26 27 28 30 31 32 33 34 35 37 38 40 42 43 44 45 47 49 50 52 53 55 57 58 60 62 63 64 65 67 69 70 72 74 75 76 77 79 81 82 84 85 87 89 90 92 93 94 95 96 97 99 102 103 105 106 107 110 111 +1 1 -1 -1 -3 3 -1 1 1 : 0 1 4 5 6 7 8 9 10 11 12 13 14 16 18 19 22 23 25 26 28 29 32 33 34 35 36 37 39 40 41 42 43 44 46 47 48 49 51 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 86 88 89 90 91 92 93 94 95 98 100 101 102 103 106 107 109 110 +1 1 1 -1 1 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 26 27 28 29 30 31 34 36 37 42 43 44 45 46 47 48 49 54 55 56 57 58 59 60 61 66 67 68 69 70 71 72 73 76 77 78 79 80 81 82 83 84 85 90 91 92 93 94 95 96 97 100 102 103 104 105 106 107 110 +1 0 1 0 0 -2 0 -1 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 32 33 34 35 36 38 40 41 42 43 44 46 48 49 50 51 52 54 56 57 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50 51 52 53 54 56 61 62 63 64 65 66 67 68 69 70 72 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 101 105 107 108 109 110 111 +1 1 3 3 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 55 56 60 64 65 66 71 72 76 80 81 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 103 104 106 109 110 111 +1 0 1 0 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 26 27 28 30 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 57 58 59 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 96 101 102 103 104 105 106 107 108 109 110 +1 0 1 0 0 0 -1 0 0 : 0 1 2 3 9 14 17 22 24 25 26 27 28 29 30 31 33 34 35 38 39 42 43 46 47 50 51 54 55 58 59 62 63 66 67 68 69 72 73 76 77 80 81 84 85 88 89 92 93 96 97 103 108 +1 1 3 -1 1 1 1 -3 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 25 26 27 28 29 30 32 33 34 35 37 39 41 42 43 45 46 47 48 49 50 52 53 55 57 59 61 63 65 66 67 68 70 72 74 75 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85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 0 2 0 1 0 0 1 0 : 0 3 4 7 8 9 11 12 13 14 15 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 48 50 52 53 54 55 56 57 58 59 60 62 64 66 69 71 73 75 76 77 78 79 80 81 82 83 85 87 89 91 92 93 94 95 96 97 98 99 101 104 107 110 +1 3 1 1 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 25 29 30 31 32 33 35 36 37 38 40 43 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 91 92 95 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +1 1 0 0 0 1 0 1 1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 38 39 41 42 43 44 45 48 49 51 52 53 56 57 59 62 63 65 66 67 68 69 72 73 75 78 79 81 82 83 86 87 89 90 91 92 93 96 97 99 100 101 103 106 107 108 109 110 111 +1 1 -1 1 -1 -1 -3 -1 -3 : 0 2 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 24 27 29 30 31 32 33 34 36 37 38 39 40 42 44 46 49 51 52 53 55 56 57 58 59 60 61 62 63 64 66 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34 35 36 38 39 40 41 42 43 44 45 46 49 50 51 54 55 56 58 59 60 61 64 65 66 70 71 72 74 75 76 77 80 81 82 85 86 87 90 91 92 93 95 96 97 100 101 103 104 106 108 109 110 +1 1 -1 0 -1 0 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 17 18 19 20 21 22 24 26 27 28 30 33 34 35 37 38 39 40 41 42 43 47 48 49 50 51 52 53 54 55 57 58 59 60 61 62 63 67 71 72 73 74 75 76 80 81 82 83 84 85 86 87 91 92 93 94 95 96 100 101 102 105 107 108 109 111 +1 0 1 0 0 -1 0 0 0 : 4 5 6 7 8 15 16 23 24 25 26 27 28 29 30 31 32 34 35 40 41 42 43 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 76 77 78 79 84 85 86 87 92 93 94 95 102 109 +1 0 0 0 1 -1 0 2 0 : 0 3 4 5 6 7 8 9 10 11 12 13 14 16 18 21 23 25 26 28 31 33 34 36 37 38 39 40 42 45 47 48 49 50 51 52 53 54 55 56 58 61 63 64 65 66 67 68 69 70 71 72 74 77 79 80 81 82 83 84 85 86 87 88 90 93 95 96 97 98 99 101 102 104 107 109 110 +1 0 0 2 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 31 34 35 37 39 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 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69 70 71 72 73 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 43 44 48 49 50 52 56 57 58 63 64 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 89 90 91 92 93 94 95 96 97 98 99 102 106 107 108 110 111 +1 1 -1 -1 -1 -1 -1 -1 -3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 40 43 44 47 49 50 51 52 55 57 58 59 61 62 63 64 65 66 68 71 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 96 99 100 101 102 103 104 105 106 +1 1 -1 1 1 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 37 38 39 40 41 42 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 68 69 70 72 75 77 78 79 80 81 82 85 86 87 88 89 90 92 95 97 98 99 102 103 104 105 106 110 111 +1 0 0 1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 72 73 75 78 81 86 89 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 71 73 74 75 77 78 79 80 81 82 83 84 91 95 97 98 99 101 102 103 104 106 111 +1 3 -1 3 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 35 36 43 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 76 83 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 1 2 0 1 : 0 1 2 3 4 6 7 8 9 11 12 14 15 16 17 19 20 22 23 26 27 29 30 32 33 36 37 39 40 42 43 44 45 46 49 50 51 52 53 54 57 58 59 60 61 63 64 66 67 68 69 70 73 74 75 76 77 79 80 82 83 84 85 87 88 90 91 92 93 94 97 98 99 102 103 105 106 108 109 +1 1 3 -1 -1 1 1 -1 -3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 24 25 26 27 28 29 31 32 33 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72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 95 97 98 99 102 103 105 107 108 110 111 +1 1 3 -1 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 24 25 26 27 28 29 30 31 32 33 35 38 40 42 43 44 45 46 47 48 49 51 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 80 82 83 84 85 86 87 88 89 90 91 93 98 100 101 104 105 108 109 110 +1 1 1 -1 1 3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 26 27 29 31 33 34 36 38 39 40 41 43 46 48 49 50 51 52 53 54 55 57 60 62 63 64 65 67 70 72 73 74 75 77 80 81 82 83 84 86 87 88 89 91 94 96 97 98 99 100 102 103 105 107 109 110 +1 1 1 0 -1 0 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 17 18 19 20 21 22 24 25 26 27 28 30 33 35 36 40 41 42 43 47 48 49 50 51 52 53 54 55 56 60 61 62 63 67 68 69 70 72 73 74 75 76 80 81 82 83 84 85 86 87 88 89 90 92 93 94 95 96 100 101 102 103 104 106 109 111 +1 1 1 1 1 1 3 -3 -1 : 0 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 27 28 29 31 32 33 34 35 36 37 38 39 41 42 45 46 49 50 53 54 57 58 61 62 64 65 66 67 69 70 73 74 77 78 80 81 82 83 85 86 88 89 90 91 92 93 94 95 96 98 99 103 104 105 107 108 109 110 111 +1 1 3 1 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 42 44 45 46 47 48 50 51 54 57 60 62 63 66 68 69 71 72 73 74 75 77 80 81 83 84 85 86 87 88 89 90 91 92 93 95 96 97 98 99 101 103 105 107 109 111 +1 1 2 0 0 0 0 -1 0 : 0 3 4 7 10 13 18 21 24 25 26 27 28 29 30 31 32 33 34 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 -1 1 0 0 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 23 24 26 27 29 31 32 33 34 36 37 42 43 44 45 47 49 50 51 52 53 54 56 58 59 60 61 66 67 68 69 71 73 74 75 76 77 78 79 80 81 82 83 84 85 90 91 92 93 95 97 98 99 100 102 103 105 107 108 109 110 +1 1 -1 -1 -1 -1 3 1 3 : 0 2 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 27 28 29 30 32 33 34 35 36 38 39 40 41 42 43 44 45 46 47 49 51 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 85 87 88 90 92 94 96 97 98 99 100 101 102 103 105 106 107 108 +1 1 1 1 0 0 -1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 25 26 27 28 29 30 31 33 34 35 38 39 42 43 46 47 50 51 52 53 56 57 60 61 64 65 68 69 72 73 76 77 80 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 109 110 111 +1 1 0 1 1 -1 1 -1 0 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 26 27 28 31 32 33 34 35 37 38 40 41 43 44 46 47 49 50 52 54 55 57 58 60 61 62 63 64 66 67 69 70 72 73 75 76 78 79 81 82 84 86 87 89 90 92 93 94 95 96 98 99 102 104 105 106 108 110 111 +1 1 0 0 -1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 18 19 20 21 25 28 29 30 31 34 36 38 39 40 41 42 46 47 48 49 52 53 54 56 58 59 60 61 66 67 68 69 70 72 74 75 76 77 82 83 84 86 87 88 89 90 94 95 96 97 100 101 102 103 104 106 108 109 111 +1 1 -3 1 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 37 40 41 43 44 45 47 48 49 50 51 52 53 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 74 75 76 78 79 82 84 86 87 90 94 97 103 105 107 109 110 111 +1 3 -1 -1 1 1 -3 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 25 26 27 29 31 32 35 36 37 40 41 42 44 45 46 48 49 50 51 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 84 86 87 88 89 91 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 0 1 1 -1 1 1 1 0 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 25 29 30 31 32 33 35 36 37 38 40 43 44 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 91 92 95 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 -1 -1 1 -3 3 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 23 25 26 27 28 30 32 33 35 37 38 39 40 41 43 44 45 46 47 48 50 51 54 55 56 57 61 62 63 64 65 67 70 71 72 73 77 78 79 80 81 83 84 86 87 88 89 90 94 95 96 97 100 102 103 105 107 108 109 110 +1 1 1 3 -1 -3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 18 19 20 21 22 24 25 26 27 29 31 33 35 37 40 41 42 43 46 48 49 50 51 52 53 54 55 57 60 61 62 63 66 68 69 71 72 74 75 77 80 81 82 83 84 85 86 87 88 89 91 92 93 94 95 97 100 101 102 103 105 107 109 111 +1 1 0 -1 -1 0 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 42 43 44 45 46 47 50 52 53 54 55 58 60 61 62 63 65 68 70 71 72 73 74 75 78 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 101 102 104 105 108 109 +1 0 0 0 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 26 27 32 33 38 39 40 41 46 47 48 49 54 55 56 57 62 63 64 65 70 71 72 73 78 79 80 81 86 87 88 89 94 95 96 97 102 103 108 109 +1 1 -1 -1 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 26 27 28 29 32 34 35 38 39 41 42 43 44 46 47 50 51 52 54 55 58 59 60 61 63 64 66 67 68 70 71 74 75 76 77 79 80 82 83 84 85 87 88 90 91 92 93 96 97 99 100 101 103 106 107 108 109 +1 1 0 -1 -1 0 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 41 43 44 45 46 47 49 52 53 54 55 57 60 61 62 63 66 68 69 71 72 73 74 75 77 80 81 82 83 85 88 89 90 91 94 96 97 98 99 100 101 102 103 105 107 109 +1 1 1 -1 1 -3 1 -3 -1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 38 41 43 44 46 47 49 50 51 52 53 54 56 57 59 60 62 65 67 68 70 71 73 74 75 76 77 78 79 80 81 82 84 86 89 91 92 94 95 97 98 99 100 102 104 105 107 108 109 110 +1 0 0 0 2 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 25 26 27 32 33 34 36 37 38 39 42 43 44 45 48 49 50 51 52 53 54 55 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 80 81 82 83 84 85 86 87 90 91 92 93 96 97 98 99 101 102 103 108 109 110 +1 1 -1 1 1 3 -1 1 3 : 0 1 2 4 6 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 32 33 37 38 41 42 44 45 47 48 49 51 52 53 55 56 57 59 60 62 63 64 65 66 67 68 70 71 72 74 75 77 78 81 82 85 86 89 90 92 93 95 96 97 99 102 103 105 106 107 109 110 111 +1 1 -3 -1 -1 1 -1 1 3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 26 27 28 29 31 32 33 34 35 36 37 39 40 41 42 43 45 46 48 49 51 53 54 56 57 59 60 62 63 65 66 68 69 71 72 74 75 77 78 80 81 83 85 86 88 89 91 92 94 95 97 98 100 101 103 105 106 107 109 +1 1 1 -1 0 -1 0 1 1 : 0 1 2 3 4 5 8 10 11 12 13 15 17 18 19 22 23 24 25 26 27 30 31 32 34 36 37 39 40 41 45 46 47 50 51 52 53 56 57 58 62 63 64 66 67 68 69 70 71 72 73 75 76 77 78 79 81 82 83 84 85 87 88 89 93 94 95 98 99 100 101 102 103 106 107 108 110 +1 1 -3 1 1 1 1 1 1 : 2 3 6 7 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 39 41 42 43 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 84 85 86 88 92 99 106 107 108 109 110 111 +1 3 1 1 -1 1 3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 25 27 29 31 32 33 35 36 38 39 42 43 44 45 47 48 50 51 54 55 57 58 59 60 62 63 66 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -1 -1 1 -1 -3 1 3 : 0 1 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 25 27 28 29 30 32 33 35 36 37 38 39 41 43 44 45 46 48 49 50 51 53 55 56 58 60 61 62 63 65 67 69 71 72 74 76 77 78 79 81 83 84 86 88 89 90 91 93 95 96 98 100 102 103 105 106 107 108 110 +1 1 -1 1 -1 1 -1 -3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 24 26 28 29 30 31 32 34 36 37 40 41 42 43 46 47 48 49 52 53 54 55 56 58 59 60 61 64 65 66 67 70 71 72 73 76 77 78 79 82 83 84 85 88 89 90 91 94 95 96 97 101 103 104 105 106 107 109 111 +1 3 -1 1 1 1 1 -3 1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 28 29 31 36 37 38 40 42 44 46 48 50 51 52 54 56 58 59 60 62 63 64 65 66 67 69 70 71 72 73 74 76 77 78 80 82 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 -1 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 18 20 22 23 24 26 27 29 31 34 37 42 44 45 47 49 54 56 58 59 61 66 68 69 71 73 76 77 78 79 80 81 83 85 90 92 93 95 97 100 102 103 105 107 110 +1 3 -1 -1 -1 1 -3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 26 27 30 31 32 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 53 56 57 58 60 61 63 64 65 68 69 72 73 74 76 77 79 80 81 84 85 87 88 89 92 94 95 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 3 -1 1 -1 1 -3 : 0 1 2 5 6 7 8 10 11 12 14 16 17 18 19 21 22 23 24 26 28 29 30 32 34 35 36 37 39 40 42 43 45 46 48 49 51 52 53 55 56 57 58 59 61 62 64 65 67 69 70 72 73 75 76 78 79 81 82 85 86 88 89 91 92 94 95 97 98 100 101 103 105 106 107 109 111 +1 0 0 1 -2 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 32 34 35 36 37 40 41 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 62 63 66 67 68 69 72 73 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 94 95 98 99 100 101 103 108 110 111 +1 1 1 1 1 1 3 3 1 : 1 2 3 4 6 7 9 10 12 13 14 15 17 18 20 21 22 23 27 28 30 31 32 33 34 35 36 37 38 39 40 43 44 47 48 51 52 55 56 59 60 63 64 65 66 67 68 71 72 75 76 79 80 81 82 83 84 87 88 89 90 91 92 93 94 95 97 98 99 103 104 106 107 108 109 110 111 +1 3 1 1 -1 -3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 25 26 27 29 31 33 35 36 37 38 39 42 44 45 47 48 50 51 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 85 86 87 88 89 91 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 1 3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 34 36 37 38 40 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 79 81 82 83 84 85 86 88 93 94 95 96 97 98 99 101 106 107 108 109 110 111 +1 0 0 0 1 -1 0 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 23 25 26 28 29 30 31 33 34 38 39 40 42 43 45 46 47 50 51 52 53 56 57 58 60 61 63 64 65 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 101 102 104 105 106 107 109 110 +1 0 1 1 0 0 -1 0 -1 : 0 2 3 5 6 9 11 12 14 16 17 18 19 21 23 25 26 27 28 29 31 33 34 35 36 38 39 41 42 43 45 46 47 48 50 51 52 54 57 59 61 63 64 66 68 70 73 75 77 79 80 82 84 85 86 88 89 91 92 93 95 96 97 98 100 103 105 106 108 111 +1 0 1 0 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 18 21 23 24 25 26 27 29 30 31 32 35 37 39 40 42 44 46 48 49 50 51 53 55 56 58 60 62 64 65 66 67 68 69 70 71 73 75 77 79 80 82 84 85 86 87 89 91 93 95 96 98 101 102 104 107 109 110 +1 0 0 2 0 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 26 27 32 33 35 38 39 40 41 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 62 63 64 65 70 71 72 73 74 75 78 79 80 81 82 83 84 85 86 87 88 89 92 93 94 95 96 97 100 102 103 108 109 111 +1 1 -1 -1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 19 21 22 25 26 29 31 32 35 36 40 41 42 44 45 46 48 49 50 51 55 56 60 64 65 66 71 72 76 80 81 82 85 86 87 91 95 96 100 103 104 106 109 110 +1 1 1 1 -1 -3 -1 -1 3 : 1 2 3 4 5 7 8 11 12 13 14 15 16 17 18 19 20 23 25 26 27 28 29 30 33 35 36 39 40 43 45 46 47 49 50 51 52 53 54 56 57 58 60 63 64 67 68 69 70 72 73 74 76 79 80 83 84 85 86 87 89 90 91 92 93 94 96 97 98 101 102 103 104 105 106 109 111 +1 1 1 3 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 30 32 35 36 38 39 42 43 46 47 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 71 72 74 75 76 78 79 82 83 84 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 106 108 111 +1 1 3 -1 1 -1 3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 41 44 46 47 48 49 51 52 53 56 57 58 60 61 63 64 65 69 70 71 74 75 76 77 78 79 81 82 83 86 87 88 90 91 93 94 95 98 99 100 102 103 106 107 108 110 +1 1 1 1 0 -1 1 0 1 : 0 2 3 4 5 7 8 9 11 12 14 15 16 18 20 21 22 25 26 28 30 31 32 34 35 37 39 40 41 43 44 46 48 49 50 53 54 55 57 59 60 62 63 64 66 69 70 71 73 75 76 78 79 80 82 84 85 86 87 89 90 91 92 93 94 95 96 98 99 101 102 104 106 107 108 110 111 +1 1 -1 3 1 1 1 1 -3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 35 36 39 41 42 43 45 46 47 48 49 50 52 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 100 105 106 107 108 109 110 111 +1 0 0 1 -1 -1 0 -1 0 : 0 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 24 25 26 28 31 33 34 35 36 38 41 43 45 47 48 49 50 51 52 53 54 55 56 58 60 62 65 67 68 70 73 75 77 79 80 81 82 83 84 85 86 87 88 90 92 94 97 99 100 101 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94 95 99 100 101 102 103 104 105 109 110 +1 1 0 0 2 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 25 27 32 34 36 37 40 41 44 45 46 47 48 49 50 51 52 53 56 57 60 61 62 63 64 65 66 67 68 69 72 73 76 77 78 79 80 81 82 83 84 85 88 89 92 93 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 1 -1 1 3 1 3 -1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 38 41 43 44 46 47 49 50 51 52 53 54 56 57 59 60 62 65 67 68 70 71 73 74 75 76 77 79 80 81 82 83 84 86 89 91 92 94 95 97 98 99 100 102 104 105 107 108 109 110 +1 1 -1 -1 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 20 21 25 26 27 30 31 35 38 40 42 43 44 46 47 48 49 50 51 53 58 62 64 66 67 69 74 78 80 82 83 84 85 87 89 93 98 100 104 105 108 109 110 +1 3 1 -1 1 -3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 26 30 31 32 33 34 36 37 38 39 40 44 45 46 47 51 53 54 55 56 57 58 60 61 62 63 64 68 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 88 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +1 3 -3 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 3 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 25 26 27 28 29 30 34 35 36 39 41 42 43 44 47 49 50 51 52 53 54 56 59 60 61 62 64 67 68 69 70 72 75 76 77 78 80 83 85 86 87 88 89 90 92 93 94 95 96 97 98 101 102 103 104 105 106 110 111 +1 1 -1 -1 3 -1 1 -1 3 : 0 1 2 5 6 7 8 9 10 12 13 14 15 17 19 20 21 23 25 27 29 30 31 33 34 35 36 37 39 40 42 43 44 45 46 47 48 50 51 52 54 55 57 58 60 62 63 65 66 68 70 71 73 74 76 78 79 81 82 85 86 88 89 91 93 94 96 97 99 100 101 102 104 105 106 108 110 +1 0 1 1 1 0 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 26 30 31 32 33 34 35 36 37 38 40 41 42 43 44 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 87 88 89 90 91 93 94 95 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 1 -3 -1 1 3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 18 19 20 21 23 24 25 27 28 29 32 33 35 38 39 40 42 43 45 46 47 50 51 52 53 56 57 58 60 61 63 64 65 68 70 71 72 73 74 75 78 79 80 82 83 84 85 86 89 90 91 92 93 96 97 98 100 101 103 104 105 108 109 111 +1 1 1 0 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 27 28 29 30 31 33 34 35 38 39 40 41 46 47 48 49 54 55 56 57 62 63 64 65 68 69 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 92 93 96 97 98 99 100 101 103 104 105 106 107 109 110 111 +1 3 -3 1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 73 74 75 76 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 1 0 -1 1 0 : 0 1 2 4 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 27 28 31 32 34 35 36 38 39 40 42 43 45 46 49 50 53 54 57 58 60 61 63 64 65 67 68 70 71 72 74 75 77 78 81 82 85 86 89 90 92 93 95 96 97 99 100 101 103 104 107 108 110 111 +1 1 3 -1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 26 27 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 47 49 52 53 54 55 56 57 58 59 61 66 68 69 71 73 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 101 102 103 105 107 110 +1 0 1 -1 0 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 25 27 30 31 33 34 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 62 63 64 65 66 67 69 72 73 75 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 0 1 1 1 1 0 1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 29 30 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 54 56 58 59 60 62 63 64 65 66 67 68 69 71 73 75 77 79 81 82 83 85 87 89 90 91 93 94 95 96 97 98 99 104 106 107 108 109 110 111 +1 1 -3 -1 1 1 -1 -1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 25 26 27 28 29 31 32 33 34 35 36 39 40 41 42 44 45 46 48 49 50 51 53 54 55 56 59 60 63 64 65 66 68 71 72 73 74 76 77 78 81 82 83 85 86 87 88 91 92 95 96 97 98 100 103 104 105 106 109 110 +1 1 1 -1 1 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 26 27 28 29 30 34 37 38 39 40 41 42 44 47 49 50 51 52 53 54 56 59 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 92 95 97 98 99 100 102 103 104 105 106 110 +1 1 1 -1 -1 0 -1 -1 0 : 1 2 3 4 7 8 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 33 36 37 38 40 41 42 44 47 48 51 52 55 56 59 61 62 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 80 81 82 84 85 86 88 89 90 92 95 96 99 100 101 102 103 104 105 106 109 +1 1 3 -1 1 -1 1 -3 -1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 25 26 27 28 29 30 32 33 34 35 37 38 39 41 43 44 45 46 49 50 51 53 55 56 57 59 61 62 63 65 67 68 70 71 72 74 76 77 78 79 80 82 83 84 86 88 89 90 92 94 95 96 98 100 102 104 105 107 108 110 +1 2 -1 0 0 0 -1 0 0 : 0 1 2 3 9 14 17 22 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 72 73 76 77 80 81 84 85 88 89 92 93 96 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 1 1 1 0 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 28 29 30 31 33 34 35 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 64 65 66 67 69 70 71 74 75 78 79 80 82 83 86 87 88 90 91 92 94 95 96 97 98 99 103 104 105 108 109 110 111 +1 1 1 -1 3 3 1 1 -1 : 1 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 20 23 24 25 26 29 31 32 33 34 36 37 38 39 43 47 48 49 50 51 52 53 54 55 56 60 64 65 66 67 68 69 70 73 74 75 77 78 79 80 81 82 83 84 85 86 87 91 95 96 97 98 99 100 101 102 105 107 108 109 110 +1 1 3 1 -1 1 -1 -3 -1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 24 25 26 27 28 29 30 32 33 34 35 37 39 40 41 43 45 46 47 49 51 52 53 55 56 58 59 61 63 64 65 67 68 70 72 73 74 76 78 79 80 82 84 85 86 88 89 90 91 92 94 96 97 98 101 103 104 105 107 109 111 +1 0 0 0 1 0 -1 2 0 : 0 1 2 3 4 7 8 9 10 11 12 13 15 17 18 21 22 25 27 28 31 32 34 36 37 38 40 41 42 45 46 47 49 50 51 52 53 54 56 57 58 61 62 63 65 66 67 68 69 70 72 73 74 77 78 79 81 82 83 84 85 86 88 89 90 93 94 95 97 98 99 101 103 104 107 108 110 +1 1 0 -1 1 1 1 -1 0 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 25 26 27 28 31 32 33 34 35 37 38 40 42 43 44 46 47 48 49 50 51 52 53 55 57 58 61 62 64 66 67 69 70 72 74 75 76 78 79 80 81 82 83 84 85 87 89 90 93 94 96 98 99 100 104 105 106 108 109 110 +1 1 -1 -3 -1 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 21 22 23 24 26 27 28 29 31 34 35 36 38 39 40 41 42 43 44 46 48 50 51 53 54 55 56 57 58 61 63 65 66 67 68 70 72 74 75 76 77 78 80 82 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 111 +1 0 0 1 0 0 1 1 -1 : 1 3 4 5 6 7 9 10 11 12 13 14 16 19 21 22 23 24 27 28 29 30 31 32 35 36 40 41 42 43 44 45 46 47 48 55 56 57 58 59 60 61 62 63 67 68 69 70 71 72 76 80 81 82 83 84 85 86 87 91 95 96 97 98 99 100 103 104 105 106 107 108 111 +1 1 -1 -1 -3 -1 1 -3 -1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 17 18 20 21 23 25 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 49 50 51 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62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 84 85 86 87 88 89 92 93 94 95 96 97 102 103 108 109 +1 1 -3 1 -1 3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 25 26 27 28 29 30 31 32 34 35 38 40 41 42 43 45 48 49 50 51 52 54 55 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 81 84 85 87 88 90 91 92 93 94 95 98 101 102 104 105 108 109 111 +1 1 0 1 1 -1 0 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 24 25 26 28 29 30 31 33 34 35 38 39 40 42 43 45 46 47 50 51 53 54 55 58 59 60 61 62 63 65 66 67 68 69 72 73 74 76 77 79 80 81 84 85 87 88 89 92 93 94 95 96 97 99 102 103 106 107 108 110 111 +1 1 -1 -1 -1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 26 27 28 29 32 33 34 35 36 37 38 39 40 41 42 43 45 46 47 48 49 51 53 54 55 56 57 59 62 63 64 65 69 70 71 72 73 75 78 79 80 81 86 87 88 89 92 94 95 96 97 98 100 101 102 103 106 107 108 109 +1 1 -1 -1 -1 1 -1 -3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 26 28 29 30 31 32 34 35 36 37 38 39 40 42 43 44 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81 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 3 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 21 22 23 24 25 29 30 31 32 33 35 36 39 41 42 43 44 45 46 48 51 52 55 57 58 59 60 61 62 64 67 69 70 71 72 73 74 76 79 81 82 83 85 86 87 88 89 90 91 92 95 97 98 99 100 101 105 106 107 108 109 111 +1 3 1 -1 -1 -1 -1 3 1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 68 69 70 71 72 73 75 76 77 79 81 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 1 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 25 27 28 30 31 33 35 36 37 39 40 42 43 45 47 48 49 51 52 54 55 56 58 60 61 63 64 66 67 68 70 71 72 74 76 77 79 80 82 83 84 86 88 89 90 92 94 95 96 98 101 103 104 106 107 109 111 +1 1 1 3 -3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 31 32 33 34 35 36 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 67 71 73 74 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21 22 24 25 26 28 29 30 32 33 35 37 38 41 42 44 45 47 48 49 51 53 54 57 58 60 61 63 64 65 67 68 70 71 72 74 75 77 78 81 82 84 86 87 88 90 91 93 94 97 98 101 103 104 107 108 110 +1 1 1 -1 -1 -1 -3 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 29 31 32 36 37 40 41 42 44 45 46 49 50 51 52 53 54 57 58 59 61 62 63 66 67 68 69 71 72 73 76 77 80 81 82 84 85 88 89 90 92 93 94 97 98 99 100 101 102 103 105 107 108 +1 1 1 1 -1 -1 -1 3 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 25 26 27 28 30 31 35 37 38 39 40 41 42 44 45 46 48 50 53 55 57 58 59 61 62 63 64 65 66 69 71 73 74 75 77 78 79 80 81 82 84 85 87 89 91 93 95 97 98 99 101 102 103 104 106 107 111 +1 0 1 1 -1 0 0 1 0 : 0 3 4 7 8 9 10 11 12 14 15 16 17 19 20 21 22 23 25 26 27 29 30 31 32 33 35 36 38 40 42 44 45 46 47 48 49 50 51 53 55 57 59 60 62 64 66 69 71 73 75 76 78 80 82 84 85 86 87 88 89 90 91 93 95 97 99 100 101 104 107 110 111 +1 1 -1 -1 -1 3 -1 -3 -1 : 0 2 3 4 5 6 8 10 12 13 14 15 16 18 20 21 22 23 26 28 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 47 48 49 50 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 85 87 88 90 93 94 95 96 98 99 100 101 102 103 104 105 107 109 +1 1 -1 1 1 3 -1 -3 -1 : 0 2 3 4 5 6 8 9 10 11 13 15 16 17 18 19 21 23 24 25 26 28 30 31 32 33 37 39 40 42 44 45 47 48 49 50 52 53 55 56 57 58 60 62 63 64 65 66 67 69 70 71 72 74 75 77 79 80 82 85 87 88 90 92 93 95 96 97 98 102 103 104 105 107 109 110 111 +1 0 0 1 2 0 0 0 -1 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 19 21 22 23 24 25 29 30 34 35 36 37 38 39 40 41 42 43 44 47 49 50 53 54 56 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 78 80 83 84 87 89 90 92 93 94 95 96 97 98 99 100 101 105 106 110 111 +1 1 -1 -3 -1 1 -1 -3 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 17 19 20 21 22 23 24 26 28 30 31 32 34 35 36 37 38 40 41 42 43 44 46 48 49 50 52 53 55 56 58 59 61 63 64 65 67 68 70 72 73 74 76 78 79 80 82 85 87 88 89 91 93 94 95 97 99 100 101 103 104 105 107 109 111 +1 1 1 -1 -1 -3 -1 -3 -1 : 0 2 3 5 6 7 8 10 12 13 14 15 16 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106 107 109 110 111 +1 1 -1 3 1 1 1 -1 3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 18 20 21 22 23 24 25 26 27 29 30 31 35 37 38 40 42 43 44 46 47 48 49 51 53 54 56 58 59 60 62 63 64 65 66 67 68 69 71 73 74 77 78 80 82 83 84 85 87 89 90 93 94 96 98 99 100 104 105 106 108 109 110 111 +1 1 1 1 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 25 26 29 31 32 33 35 37 38 39 40 41 42 47 48 49 50 51 52 53 54 55 56 61 62 63 64 65 66 68 69 70 71 72 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 101 102 105 107 108 109 111 +1 3 -3 -1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 56 57 58 59 60 61 62 63 64 65 66 67 71 72 76 80 81 82 85 86 87 91 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 38 40 42 43 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 88 90 91 93 98 100 101 104 105 108 109 111 +1 0 1 -1 -1 1 0 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 27 29 31 32 33 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 60 61 62 63 64 65 66 68 69 71 72 73 74 75 76 77 80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 102 104 105 106 107 109 110 111 +1 1 1 -1 -1 -3 1 -3 1 : 0 2 3 5 6 7 8 9 10 11 13 15 16 17 18 19 21 23 24 25 26 28 30 31 32 33 36 38 39 41 42 43 44 46 49 51 52 54 57 59 60 61 62 64 65 67 68 69 70 71 72 73 74 76 78 79 81 82 83 84 86 87 89 90 91 92 94 97 99 100 101 102 104 106 107 108 109 +1 0 0 0 1 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 14 15 18 21 25 28 31 34 37 39 41 43 44 46 48 50 53 55 57 59 60 62 64 66 69 71 73 75 76 78 80 82 85 87 89 91 92 94 96 98 101 104 107 110 +1 1 -1 1 -1 1 -3 -1 3 : 0 1 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 24 26 27 29 30 31 32 34 36 38 40 41 42 43 45 47 48 50 52 53 54 55 56 57 59 60 62 64 65 66 67 69 71 72 74 76 77 78 79 81 83 84 86 88 89 90 91 93 95 96 98 101 103 104 105 106 108 109 111 +1 1 0 0 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102 109 110 +1 1 1 3 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 36 37 38 40 44 45 46 47 48 49 50 53 54 55 56 57 58 59 63 65 66 67 68 75 76 77 78 80 84 85 86 87 88 89 90 91 93 94 95 96 97 98 99 100 101 106 107 108 109 111 +1 1 1 1 1 1 -1 1 3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 27 29 30 31 33 34 35 37 38 40 41 43 44 45 47 48 50 51 52 53 55 56 58 59 60 62 63 65 66 68 69 71 72 74 75 76 78 79 81 82 84 86 87 89 90 93 94 96 97 99 103 105 106 107 109 110 111 +1 1 3 -1 1 1 1 -1 3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 25 26 27 28 30 31 32 33 34 35 37 38 40 42 43 44 46 47 48 49 51 52 53 55 57 58 61 62 64 66 67 69 70 72 74 75 76 78 79 80 81 82 83 84 85 87 89 90 93 94 96 98 99 100 104 105 106 108 109 110 +1 1 1 1 1 0 -1 0 1 : 0 1 3 5 6 8 9 10 12 13 15 16 17 18 20 21 23 26 27 28 30 31 33 34 35 37 38 39 40 42 43 45 47 48 50 53 55 56 58 60 61 63 64 65 66 69 71 72 74 76 77 79 80 81 82 84 85 87 88 89 90 92 93 94 95 96 97 98 99 102 103 104 106 107 109 110 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106 107 110 111 +1 1 -1 1 -1 1 -3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 26 27 28 29 32 34 36 37 38 40 41 45 46 47 48 49 50 52 53 56 57 59 60 61 62 64 65 69 70 71 72 73 74 78 79 81 82 83 84 85 86 88 89 93 94 95 96 97 98 101 103 106 107 108 109 111 +1 1 3 -3 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 39 40 44 48 49 50 52 53 54 55 56 57 58 59 60 61 62 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 88 92 96 97 98 100 103 104 105 109 110 111 +1 3 -1 -1 1 1 -1 1 -3 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 25 26 28 29 30 32 35 37 38 40 41 43 44 45 47 48 49 50 51 52 54 55 57 58 61 62 64 65 67 68 70 71 73 74 77 78 80 81 83 84 85 87 88 90 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 3 -1 -1 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 25 29 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 52 53 54 55 56 57 58 59 60 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 95 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 3 -1 1 -1 3 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 17 19 20 21 22 23 24 26 28 30 31 32 34 35 36 37 38 41 42 43 44 46 48 49 50 52 53 55 56 57 58 59 61 63 64 65 67 68 70 72 73 74 76 78 79 80 82 85 87 88 89 91 93 94 95 97 99 100 101 103 104 105 107 109 111 +1 0 1 1 1 0 0 0 -1 : 1 2 5 6 8 9 10 11 13 14 15 16 17 18 19 21 22 23 26 27 28 29 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 51 53 54 56 59 61 62 64 67 69 70 72 75 77 78 80 83 85 86 88 91 92 93 94 95 96 97 98 99 100 101 105 106 110 111 +1 0 0 1 0 0 1 -2 0 : 0 1 2 3 4 7 9 10 13 14 16 18 19 20 21 22 23 24 27 28 31 32 35 37 38 39 41 42 43 45 46 47 49 50 51 52 53 54 56 57 58 60 61 62 64 65 66 69 70 71 73 74 75 77 78 79 81 82 83 84 85 86 88 89 90 92 93 94 96 97 98 100 103 104 107 108 111 +1 1 -1 1 1 -1 1 3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24 25 27 28 29 30 31 33 38 39 40 41 44 45 46 47 50 51 52 53 54 55 58 59 60 61 63 64 65 66 67 68 69 72 73 74 75 78 79 80 81 86 87 88 89 92 93 94 95 98 99 102 104 105 106 107 108 110 111 +1 1 3 1 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 59 60 62 64 66 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 91 93 95 97 98 99 101 104 105 107 108 109 111 +1 1 1 0 0 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 51 52 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 81 82 83 87 89 90 91 92 93 94 95 96 97 98 99 100 101 106 107 108 109 110 111 +1 3 -1 1 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 26 28 29 31 32 34 36 38 40 41 42 44 46 47 48 50 52 53 54 56 57 58 59 60 62 64 65 66 68 70 71 72 74 76 77 79 80 82 83 84 86 88 89 90 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 3 -1 -1 1 -1 3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 25 27 29 31 32 33 35 36 38 39 42 43 44 45 46 47 48 50 51 54 55 57 58 59 60 62 63 66 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 1 3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 26 27 30 31 32 34 35 38 39 40 42 43 45 46 47 50 51 53 54 55 58 59 60 61 62 65 66 67 69 70 71 74 75 76 77 78 81 82 83 84 85 86 89 90 91 92 93 96 97 98 100 101 103 104 105 108 109 +1 1 -1 0 -1 -1 1 0 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 22 23 24 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 48 50 52 53 54 55 57 58 59 61 62 63 65 67 68 70 71 72 74 76 78 80 81 82 85 86 87 89 91 93 95 96 97 99 100 101 102 104 105 107 108 111 +1 1 -1 -3 1 1 -1 3 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 17 18 19 20 22 23 24 25 26 28 30 31 32 35 37 39 40 41 43 44 45 47 48 49 50 51 52 54 56 57 58 60 61 62 65 66 67 69 70 71 73 75 77 79 80 81 83 84 86 87 88 90 92 94 96 97 98 100 103 104 105 107 109 110 111 +1 0 0 0 0 1 0 2 -1 : 0 1 2 3 4 5 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 38 41 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 62 65 66 67 68 70 71 72 73 75 76 77 78 81 82 83 84 85 86 89 90 91 92 94 95 96 97 99 102 104 105 106 107 109 +1 0 0 0 0 2 0 1 1 : 0 1 2 3 4 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 37 38 41 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 62 65 66 67 68 70 71 72 73 75 76 77 78 81 82 83 84 85 86 89 90 91 92 94 95 96 97 99 102 104 105 106 107 109 +1 1 1 0 -1 1 1 0 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 22 23 24 25 28 30 31 32 33 35 37 39 41 42 43 44 45 47 49 51 52 54 56 58 59 60 61 62 64 66 69 70 71 72 73 74 75 77 79 81 82 83 84 86 87 88 89 90 91 92 94 96 98 99 100 101 104 106 107 108 109 111 +1 3 1 1 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 25 26 29 31 32 34 35 36 40 41 42 44 45 46 47 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 1 0 -1 0 1 : 0 1 3 5 6 8 9 10 12 13 15 16 18 19 21 22 23 24 26 27 28 30 31 33 34 36 38 41 43 44 45 46 48 49 51 52 54 55 57 58 59 60 62 65 67 68 69 70 72 73 75 76 77 78 79 80 81 82 83 84 86 89 91 92 93 94 96 97 99 100 102 103 104 106 107 109 110 +1 1 1 1 -3 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 25 26 27 28 29 30 34 35 36 39 41 42 43 44 47 49 50 51 52 53 54 56 59 60 61 62 64 67 68 69 70 72 75 76 77 78 80 83 84 85 86 87 88 89 90 93 94 95 96 97 98 101 102 103 104 105 106 110 111 +1 1 1 -1 1 -1 3 -1 -3 : 0 1 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 24 26 27 28 29 30 32 34 36 38 41 43 44 45 46 47 48 50 53 55 56 57 58 59 60 62 65 67 68 69 70 71 72 74 77 78 79 80 81 82 83 84 86 89 91 92 93 94 95 96 98 100 102 103 104 105 106 108 110 +1 3 -1 -1 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 25 27 28 30 33 34 35 37 38 39 43 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 84 88 89 90 92 93 94 95 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 1 1 -1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 38 39 42 43 46 47 48 49 54 55 56 57 60 61 64 65 66 67 70 71 72 73 76 77 80 81 82 83 84 85 88 89 90 91 92 93 94 95 96 97 98 99 103 104 105 106 107 109 110 111 +1 1 -1 -3 -3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 34 35 36 37 38 39 40 41 42 43 46 48 50 51 54 56 58 59 60 61 62 63 64 65 67 68 69 70 71 72 73 74 75 77 82 85 90 92 93 94 95 96 97 98 99 100 101 104 106 108 109 110 111 +1 1 3 1 1 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 26 27 28 29 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 92 93 94 95 96 97 98 102 103 104 105 106 110 111 +1 0 0 1 2 0 0 0 1 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 29 30 34 35 36 37 38 39 40 41 42 43 45 46 48 51 52 55 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 79 81 82 85 86 88 91 92 93 94 95 96 97 98 99 100 101 105 106 110 111 +1 1 1 1 1 1 -1 3 -3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 38 39 42 43 46 47 48 49 54 55 56 57 60 61 64 65 66 67 70 71 72 73 76 77 80 81 82 83 84 85 88 89 90 91 92 93 94 95 97 98 99 103 104 105 106 107 109 110 111 +1 1 3 -1 -1 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 25 26 27 29 30 31 32 33 34 35 36 38 39 40 41 43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 69 70 71 72 73 74 75 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 +1 1 -1 1 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 26 27 28 29 30 34 36 37 38 40 43 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 69 70 71 72 73 74 76 79 81 82 83 84 85 86 88 91 93 94 95 96 97 98 101 105 106 107 108 109 111 +1 1 0 1 0 1 0 0 1 : 1 2 4 6 7 8 11 12 15 17 18 20 21 22 23 24 26 29 30 33 35 37 38 41 42 44 47 48 51 53 54 56 57 58 59 60 63 64 65 66 67 68 71 72 75 77 78 81 82 84 87 88 89 90 91 93 94 96 97 98 99 101 103 104 106 107 108 109 110 111 +1 1 1 -1 -1 1 0 0 1 : 1 2 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 24 25 27 28 30 31 32 33 36 39 40 41 42 43 44 47 48 51 52 55 56 59 60 61 62 63 64 67 68 69 70 71 72 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 92 95 96 99 100 101 103 104 106 107 108 109 +1 1 -1 3 1 -3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 18 19 20 21 22 24 25 26 27 30 31 33 35 38 40 41 42 43 44 46 47 48 49 51 52 53 54 55 58 60 61 62 63 64 66 67 69 72 73 74 75 78 80 81 82 83 84 85 86 87 89 92 93 94 95 98 100 102 104 105 108 109 110 111 +1 1 -1 1 -1 1 -1 3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 24 26 28 29 30 31 32 34 36 37 40 41 42 43 46 47 48 49 52 53 54 55 57 58 59 60 61 64 65 66 67 70 71 72 73 76 77 78 79 82 83 84 85 88 89 90 91 94 95 96 97 101 103 104 105 106 107 109 111 +1 1 1 -1 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 27 28 30 32 36 37 40 41 43 44 45 47 48 50 51 52 53 55 56 58 59 60 62 63 66 67 68 69 70 72 73 76 77 80 81 83 84 85 88 89 91 92 93 95 96 98 99 100 101 102 103 104 106 108 +1 1 -1 1 -3 1 -1 -3 1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 17 18 20 21 23 24 25 26 28 29 31 32 34 36 38 40 41 42 45 47 48 49 51 52 53 54 56 57 58 59 60 61 63 64 66 67 68 70 71 72 74 77 78 79 81 83 84 86 88 89 90 93 95 96 97 99 101 103 104 106 107 109 110 111 +1 0 0 1 -1 0 0 2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 44 46 48 50 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 85 87 89 91 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 1 3 1 1 -3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 24 25 26 27 28 29 30 31 32 34 35 38 40 41 42 43 45 48 49 50 51 53 56 57 58 59 60 61 63 64 66 67 68 69 70 71 74 76 77 78 79 81 84 85 86 87 89 92 93 94 95 96 97 99 102 103 106 107 109 110 111 +1 0 0 0 1 2 1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 22 23 25 26 27 32 33 34 36 37 38 39 42 43 44 45 48 49 50 51 52 53 54 55 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 80 81 82 83 84 85 86 87 90 91 92 93 96 97 98 99 101 102 103 108 109 110 +1 1 0 -1 -1 -1 0 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 28 29 30 31 33 34 35 36 37 38 39 40 41 43 44 45 47 48 49 52 53 55 56 57 60 61 64 65 66 68 69 70 71 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 103 105 107 108 +1 1 1 1 0 0 1 -1 1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 18 20 22 23 25 26 28 30 32 33 34 35 37 40 41 42 43 44 45 46 47 49 54 56 57 58 59 60 61 62 63 66 70 72 73 74 75 76 77 78 79 82 84 86 87 88 89 90 91 92 93 94 95 96 98 99 101 102 104 106 108 109 110 111 +1 1 -3 -1 -3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 47 49 50 51 52 53 54 55 56 57 58 59 60 67 71 73 74 75 76 77 78 79 80 81 82 84 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 110 +1 3 1 -1 -3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 36 37 38 39 40 41 42 43 44 51 53 54 55 56 57 58 59 60 61 62 64 68 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 0 0 -1 0 -2 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 25 27 32 34 36 37 40 41 44 45 46 47 48 49 50 51 52 53 56 57 60 61 62 63 64 65 66 67 68 69 72 73 76 77 78 79 80 81 82 83 84 85 88 89 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 1 1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 92 93 94 95 96 97 98 99 102 103 104 105 106 107 108 109 110 111 +1 3 1 -1 -1 1 -1 -3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 27 28 30 31 33 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 63 64 66 67 68 69 70 72 73 74 75 76 78 80 81 82 84 86 88 89 90 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 -3 -1 1 3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 24 25 26 27 28 29 30 31 32 34 35 38 40 41 42 43 44 46 47 48 49 50 51 53 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 79 80 82 83 84 85 86 87 89 92 93 94 95 98 100 102 104 105 108 109 110 +1 1 1 0 -1 -1 -1 1 0 : 0 1 2 4 5 6 10 11 12 14 15 16 17 18 21 22 23 24 25 26 27 29 30 31 35 36 37 39 41 42 45 46 48 50 51 52 53 55 57 58 61 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 82 84 85 86 87 88 89 91 92 93 95 97 98 100 101 102 103 105 106 107 111 +1 3 -1 -1 3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 34 35 39 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 75 76 77 78 79 80 81 82 83 84 85 86 88 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 -3 -3 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 62 64 66 67 69 74 78 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 99 100 104 105 108 109 110 111 +1 1 -1 3 -1 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 21 22 23 24 26 27 28 29 31 34 35 36 38 39 40 41 43 44 46 48 50 51 53 54 55 56 57 58 59 61 63 65 66 67 68 70 72 74 75 76 77 78 80 82 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 111 +1 3 1 -1 3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 25 28 30 32 33 34 37 42 44 45 46 47 48 49 50 51 52 53 55 57 60 62 63 64 65 66 67 70 72 74 75 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 0 0 1 -1 -1 : 0 1 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 38 40 41 42 43 44 45 46 47 50 52 53 54 55 58 62 64 65 66 67 68 69 70 71 74 78 80 81 82 83 86 88 89 90 91 92 93 94 95 98 100 101 102 104 105 108 109 110 111 +1 0 1 1 1 1 1 -1 0 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 50 52 53 55 57 58 61 62 64 66 67 68 69 71 73 74 77 78 80 82 83 85 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 1 -3 -1 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 21 22 23 24 25 28 29 31 32 33 35 36 38 40 42 43 44 45 46 48 50 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 74 75 76 78 80 82 83 85 86 87 88 89 90 93 95 97 98 99 100 101 104 105 107 108 109 111 +1 0 0 1 -1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 24 25 28 29 30 31 34 35 38 39 40 41 45 46 47 48 49 51 52 54 55 56 57 58 62 63 64 65 68 69 74 75 76 77 79 81 82 83 84 85 86 88 90 91 92 93 98 99 100 101 104 105 106 107 110 111 +1 3 1 1 1 3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 26 27 29 31 33 34 35 36 38 39 40 41 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 -1 -3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 24 25 27 30 31 32 33 36 37 39 40 42 43 44 45 48 49 51 52 53 56 57 59 60 61 62 64 65 68 70 71 74 75 76 77 79 80 82 83 84 85 87 88 90 91 92 93 96 97 99 102 103 104 105 108 110 111 +1 1 -1 1 3 1 -1 3 1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 17 18 20 21 23 24 25 26 28 29 31 32 34 36 38 40 41 42 45 47 48 49 51 52 53 54 57 58 59 60 61 63 64 65 66 67 68 70 71 72 74 77 78 79 81 83 84 86 88 89 90 93 95 96 97 99 101 103 104 106 107 109 110 111 +1 1 -1 1 -1 1 3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 26 27 29 31 32 34 37 38 39 42 43 44 45 46 49 50 51 54 55 56 58 59 61 62 63 66 67 68 69 70 73 74 75 76 77 80 81 82 85 86 87 90 91 92 93 94 97 98 99 101 103 104 106 108 109 111 +1 1 1 -1 -1 1 3 -1 -3 : 0 1 3 4 5 6 8 9 11 12 13 14 16 17 19 20 21 22 24 25 27 28 29 30 32 33 36 38 40 41 42 43 45 47 48 50 53 55 56 58 60 61 62 63 65 67 68 69 70 71 73 74 75 76 78 80 81 82 83 84 86 88 89 90 91 93 95 96 98 100 101 103 104 105 106 108 109 +1 1 1 3 -1 1 3 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 16 18 19 20 21 22 23 24 25 27 28 30 32 33 35 36 37 40 41 42 44 45 47 48 49 54 55 56 58 59 61 62 63 66 67 68 69 70 73 74 75 76 77 80 81 82 84 86 87 88 89 90 91 94 95 96 98 99 100 101 103 104 106 108 109 111 +1 1 -1 0 0 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 49 52 53 55 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 82 85 90 92 93 94 95 96 97 98 99 100 101 102 103 105 107 110 111 +1 3 1 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 26 30 31 32 34 35 39 40 45 46 47 51 53 54 55 59 60 61 62 63 65 66 67 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 25 26 28 29 31 32 35 36 38 40 41 42 44 45 46 49 50 51 52 54 55 56 58 60 62 64 65 66 68 70 71 72 74 76 78 80 81 82 84 85 86 87 88 90 91 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 0 -2 0 0 0 -1 0 : 0 3 4 7 10 13 16 17 18 19 20 21 22 23 24 28 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 55 57 59 61 63 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 87 89 91 93 95 97 99 100 101 102 103 104 105 106 108 109 110 111 +1 0 0 0 1 0 0 -1 2 : 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 19 20 21 25 28 29 30 31 34 36 37 38 40 42 43 45 46 47 48 49 51 52 54 55 56 57 58 60 61 63 65 66 67 68 70 71 72 73 74 76 77 79 81 82 83 84 85 86 88 90 91 93 94 95 96 97 99 101 104 105 106 107 110 +1 3 -1 -1 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 27 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 49 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 85 88 89 91 92 93 95 96 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 3 3 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 43 47 48 55 56 60 64 65 66 68 69 70 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 1 0 1 1 0 : 1 2 3 4 7 8 11 12 13 14 15 17 18 21 22 24 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 47 48 51 52 53 54 56 57 58 60 63 64 67 68 71 72 75 77 78 79 81 82 83 84 87 88 91 93 94 95 97 98 99 101 103 104 107 108 110 +1 1 -3 1 -1 -1 1 1 -3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 25 26 27 28 30 31 32 33 34 35 37 38 39 40 43 44 47 48 49 50 52 53 54 55 57 58 59 61 62 63 64 67 69 70 71 72 75 76 79 80 81 82 84 85 86 89 90 91 93 94 95 96 99 101 102 105 106 107 108 111 +1 1 3 1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 25 26 27 28 29 30 32 33 34 35 37 38 39 41 43 45 47 48 49 51 52 53 54 57 58 59 61 62 63 65 67 68 70 71 72 74 76 78 80 81 82 84 85 86 87 88 90 91 92 94 95 96 98 101 102 104 105 107 108 111 +1 0 0 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 39 40 45 46 47 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -3 -1 1 1 3 : 1 2 3 4 5 6 8 9 10 11 13 14 15 16 19 20 21 22 25 26 29 30 31 32 34 35 36 39 40 41 42 44 47 48 49 50 53 54 55 56 59 61 62 63 64 67 69 70 71 72 75 77 78 79 80 83 84 85 86 87 89 90 91 92 93 94 97 98 99 101 102 105 106 107 108 110 111 +1 0 0 2 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 16 17 18 19 20 21 22 23 24 27 29 30 32 35 36 37 39 40 41 42 44 45 46 48 49 51 52 54 55 57 58 59 61 62 63 64 66 67 68 69 70 72 73 75 76 77 79 80 81 82 85 86 87 88 90 91 92 94 95 97 98 99 100 103 105 106 108 111 +1 1 1 3 1 1 -1 -1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 17 18 20 21 22 23 24 27 28 29 30 33 34 35 37 38 39 40 43 44 47 48 49 50 53 54 55 56 59 60 63 64 65 66 68 71 72 73 74 76 77 78 81 82 83 84 87 88 89 90 92 93 94 96 97 98 99 100 103 104 105 106 109 110 111 +1 1 0 -1 1 0 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 43 44 45 46 47 49 50 51 52 53 54 55 56 60 61 62 63 67 71 72 73 74 75 77 78 79 80 81 82 83 84 88 89 90 91 95 96 97 98 99 100 102 105 107 108 109 110 +1 0 0 1 -1 1 0 0 1 : 1 2 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 24 25 26 29 30 33 34 35 37 38 41 42 44 45 46 47 49 50 53 54 56 57 58 59 61 62 65 66 68 71 72 75 76 77 78 79 80 83 84 87 88 89 90 91 92 95 96 99 100 101 102 105 106 109 110 111 +1 1 3 -1 -1 -1 -1 1 3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 28 30 31 32 33 34 35 36 38 39 40 41 43 44 45 47 49 50 52 53 55 57 58 61 62 64 66 67 68 69 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 105 106 107 +1 0 0 0 1 -1 2 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 22 23 25 26 27 32 33 34 36 37 38 39 40 41 46 47 48 49 50 51 52 53 54 55 56 57 62 63 64 65 66 67 68 69 70 71 72 73 78 79 80 81 82 83 84 85 86 87 88 89 94 95 96 97 98 99 101 102 103 108 109 110 +1 1 -1 -3 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 18 19 20 21 23 24 27 28 29 32 33 34 35 36 37 38 39 41 42 43 45 46 47 50 51 52 54 55 56 57 59 60 61 63 64 65 69 70 71 74 75 78 79 80 82 83 84 85 87 88 89 92 93 96 97 98 100 101 102 103 106 107 108 111 +1 3 -1 -1 3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 84 86 87 90 92 93 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 3 -1 -3 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 64 68 69 70 71 72 73 74 76 77 78 79 80 81 82 83 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 +1 2 0 1 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 19 21 22 23 24 29 30 35 37 38 40 43 44 47 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 71 73 74 77 78 80 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 0 0 1 0 0 1 : 1 2 4 6 7 8 11 12 15 16 19 20 23 24 25 27 28 30 31 32 33 34 35 37 38 41 42 44 47 48 51 52 55 56 59 61 62 65 66 69 70 72 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 93 94 96 97 98 99 100 101 103 104 106 107 108 109 110 111 +1 1 1 -1 3 -1 3 1 1 : 0 1 2 3 4 5 8 10 11 12 13 14 15 17 18 19 22 23 24 25 26 27 30 31 32 34 36 37 39 40 41 45 46 47 50 51 52 53 56 57 58 62 63 64 66 67 68 70 71 72 73 75 76 77 78 79 81 82 83 84 85 87 88 89 93 94 95 98 99 100 101 102 103 106 107 108 110 +1 1 -1 3 1 -1 3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 22 23 24 25 27 30 31 32 33 35 36 37 38 40 41 45 46 47 48 49 50 52 54 55 58 59 60 61 62 63 64 66 67 68 69 72 73 75 76 77 78 80 81 86 87 89 90 91 92 94 95 98 99 100 102 103 104 105 108 110 111 +1 1 0 -1 -1 1 1 1 0 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 26 27 28 31 32 33 34 35 37 38 39 40 41 42 43 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 69 70 71 72 73 74 75 76 79 81 82 83 84 87 89 90 91 92 93 94 96 99 100 101 105 106 107 108 109 +1 1 -1 1 -1 1 1 -3 -3 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 26 27 28 29 30 31 34 38 39 40 41 42 43 44 45 50 51 52 53 54 55 56 57 58 62 63 64 65 66 67 68 69 74 75 76 77 78 79 80 81 86 87 88 89 90 91 92 93 98 99 101 104 105 106 107 108 109 111 +1 0 0 1 -1 0 0 0 2 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 34 35 36 37 38 39 40 41 42 43 44 47 49 50 53 54 56 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 78 80 83 84 87 89 90 92 93 94 95 96 97 98 99 100 101 105 106 110 111 +1 1 0 1 1 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 26 27 28 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 60 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 92 93 94 95 96 97 98 102 103 104 105 106 110 111 +1 0 0 0 0 1 0 2 1 : 0 1 2 3 4 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 38 39 40 41 43 44 45 46 49 50 51 52 53 54 57 58 59 60 62 63 64 65 67 68 69 70 73 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 94 97 98 99 102 104 105 106 107 109 +1 1 0 -1 -1 0 0 1 0 : 0 3 4 7 8 9 10 11 12 14 15 16 17 18 19 20 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 45 47 49 51 53 55 57 59 60 62 64 66 68 69 70 71 72 73 74 75 77 79 81 83 85 87 89 91 92 94 96 98 100 101 102 103 105 106 107 108 109 +1 0 0 0 0 2 0 1 -1 : 0 1 2 3 4 5 6 7 8 10 11 12 13 15 16 18 19 20 21 23 26 28 29 30 31 33 36 38 39 40 41 43 44 45 46 49 50 51 52 53 54 57 58 59 60 62 63 64 65 67 68 69 70 73 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 94 97 98 99 102 104 105 106 107 109 +1 1 1 0 -1 1 1 0 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 22 23 24 25 28 29 31 32 33 35 36 38 40 42 43 44 45 46 48 50 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 74 75 76 78 80 82 83 85 86 87 88 89 90 91 93 95 97 98 99 100 101 104 105 107 108 109 111 +1 0 1 0 1 2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 101 102 109 110 +1 1 1 1 -3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 34 35 36 37 38 40 45 46 47 48 49 50 51 52 53 54 55 56 57 58 63 65 66 67 68 69 70 71 72 73 74 79 81 82 83 84 85 86 87 88 89 90 91 92 99 101 102 103 104 105 110 111 +1 1 1 3 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 21 22 23 24 25 28 29 31 32 33 35 36 38 40 42 43 44 45 46 48 50 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 75 76 78 80 82 83 85 86 87 88 89 90 91 93 95 97 98 99 100 101 104 105 107 108 109 111 +1 1 -1 1 -3 -1 1 -3 1 : 0 2 3 4 5 7 8 9 11 12 13 14 15 16 18 20 21 22 24 25 27 28 29 31 33 34 36 38 39 40 42 45 46 47 49 51 52 53 54 55 56 58 59 60 61 62 65 66 67 68 70 72 73 74 77 79 80 81 83 84 86 87 88 90 93 94 95 97 99 101 102 104 106 107 108 110 111 +1 3 -1 -1 1 -3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 25 26 27 29 31 33 35 36 37 38 39 42 44 45 46 47 48 50 51 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 86 87 88 89 91 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 1 1 1 0 0 1 : 1 2 4 6 7 9 10 12 13 14 15 17 18 20 21 22 23 24 25 26 27 28 29 31 32 37 38 41 42 45 46 48 49 50 51 53 54 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 73 74 77 78 81 82 85 86 89 90 93 94 96 97 98 99 103 104 106 107 108 109 110 111 +1 3 1 -1 3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 24 25 27 28 29 33 34 39 40 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 64 65 66 67 68 72 73 74 76 77 78 79 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -3 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 12 14 15 18 20 21 22 23 24 25 26 27 28 29 31 34 37 39 41 42 43 44 46 48 50 51 53 54 55 56 57 58 59 60 62 63 64 65 67 68 69 71 73 75 76 77 78 80 82 85 87 89 90 91 92 94 96 98 99 101 104 106 107 108 109 110 111 +1 1 1 -3 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 20 22 23 24 26 27 28 29 31 34 35 37 39 41 42 43 44 45 47 49 51 52 54 56 58 59 60 61 62 64 66 68 69 71 73 75 76 77 78 79 80 81 83 84 85 86 88 90 93 94 95 96 97 98 100 102 103 104 105 107 110 111 +1 1 -1 0 -1 1 1 0 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 19 20 22 23 24 26 27 28 30 31 34 35 37 38 39 40 41 42 43 45 47 49 50 51 52 54 55 56 57 58 59 60 62 64 66 67 69 71 73 74 75 76 77 79 81 83 84 86 88 90 91 92 93 94 96 98 100 101 104 105 107 108 109 111 +1 1 1 -1 0 -1 -1 1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 18 19 20 22 23 24 25 26 27 29 30 31 34 36 37 39 41 42 44 45 47 49 50 53 54 56 58 59 61 62 64 66 67 68 69 70 71 72 73 75 76 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67 68 69 72 73 74 78 79 80 82 83 84 85 87 88 89 93 94 95 98 99 101 102 103 106 107 108 110 111 +1 0 1 -1 -2 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 110 111 +1 1 -1 1 -1 -1 3 1 -3 : 0 1 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 24 27 28 29 30 32 33 34 36 37 38 39 41 43 45 47 48 50 52 54 55 56 57 58 59 60 61 62 63 65 67 69 71 72 74 76 78 80 81 82 83 84 85 86 87 89 91 93 95 96 98 101 102 103 105 106 107 108 111 +1 1 0 1 0 1 0 1 0 : 0 3 5 6 7 8 10 13 15 17 19 20 21 22 23 24 26 28 31 33 35 36 38 41 43 44 46 49 51 53 55 56 57 58 59 61 63 64 65 66 67 68 70 73 75 76 78 81 83 85 87 88 89 90 91 93 95 96 97 98 99 101 103 105 106 107 108 109 110 111 +1 1 0 1 1 0 0 1 0 : 0 3 4 7 8 9 11 12 13 14 15 16 17 19 20 21 22 23 24 25 28 31 34 35 36 38 40 42 45 47 49 51 53 55 57 59 60 61 62 63 64 65 66 67 68 70 72 74 77 79 81 83 85 87 89 91 92 93 94 95 96 97 98 99 102 103 105 106 107 108 109 110 111 +1 0 1 0 0 -1 0 0 2 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 40 43 44 45 46 47 49 50 52 53 54 55 57 58 60 61 62 63 64 67 69 70 72 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 93 94 96 97 98 99 102 105 106 109 +1 3 -1 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 27 28 30 33 37 38 39 43 44 45 46 47 49 50 51 52 53 54 55 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 85 86 87 91 92 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 1 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 26 27 28 29 30 34 35 37 38 39 40 41 42 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 92 93 94 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 0 2 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 26 33 35 36 37 38 39 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 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72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 1 -1 -1 0 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 85 86 87 88 89 90 92 93 94 96 97 100 101 102 104 105 106 107 109 110 111 +1 1 -1 1 -3 -1 -3 -1 -1 : 0 1 2 3 6 7 8 10 11 12 13 14 15 16 17 18 19 22 24 25 27 30 31 32 33 34 36 37 38 40 41 44 46 47 50 51 52 53 54 55 56 57 58 60 61 63 64 66 67 68 69 72 73 75 78 79 81 82 83 84 85 86 88 89 92 94 95 98 99 101 102 103 104 105 108 110 111 +1 1 1 -1 -1 -3 -1 1 3 : 0 1 2 4 5 7 8 10 11 12 14 15 16 18 19 20 22 23 24 25 26 27 29 30 31 33 36 37 39 40 41 43 45 46 49 50 53 54 57 58 60 62 63 64 66 67 68 69 70 71 72 74 75 76 77 79 80 81 83 84 85 87 88 89 91 93 94 97 98 100 101 102 103 105 106 107 109 +1 1 3 1 -1 -3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 25 26 27 28 29 30 31 32 34 35 37 40 41 42 43 46 48 49 50 51 52 53 55 56 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 82 84 85 86 87 88 89 91 92 93 94 95 97 101 102 103 105 107 109 111 +1 1 -1 1 -1 3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 26 27 29 31 33 34 37 40 41 42 43 44 45 47 48 50 51 54 56 57 58 59 61 64 65 66 67 68 69 71 72 74 75 76 77 78 79 82 85 88 89 90 91 92 93 95 96 98 99 101 102 104 106 108 109 111 +1 1 -1 1 1 1 0 0 -1 : 1 2 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 24 25 26 27 28 30 31 32 36 39 40 43 44 47 48 49 50 51 52 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 75 76 79 80 83 84 87 88 91 92 95 96 97 98 99 103 104 105 107 108 109 110 111 +1 0 1 -1 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 17 19 20 21 22 24 25 27 28 29 30 32 33 34 37 39 40 42 45 47 48 50 52 53 54 55 57 59 60 61 62 63 65 67 68 70 72 73 74 75 76 78 80 81 82 83 85 87 88 90 93 95 96 98 100 102 104 107 109 111 +1 3 -1 1 -3 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 24 25 28 29 32 33 34 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 60 61 63 65 68 69 70 71 72 73 75 78 80 82 83 84 85 86 87 88 89 90 91 93 98 100 101 102 103 104 105 106 107 108 109 111 +1 1 1 -1 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 24 25 26 27 28 29 31 32 33 34 37 38 40 43 44 47 49 50 53 54 56 59 60 63 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 88 91 92 95 97 98 100 101 102 103 104 105 107 108 109 110 +1 1 3 3 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 63 64 69 70 71 75 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 106 107 108 111 +1 1 -1 1 -3 1 3 -1 -1 : 0 1 2 3 4 5 8 9 10 11 12 13 15 17 18 19 22 23 24 25 26 27 30 31 32 34 38 39 40 42 43 44 45 48 49 50 52 54 55 56 57 58 59 60 61 62 65 66 67 69 70 71 74 75 76 77 79 80 81 86 87 88 90 91 92 93 96 97 98 101 103 104 105 108 109 110 111 +1 1 1 1 0 -1 0 1 -1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 17 19 21 22 25 26 27 29 31 32 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1 1 -3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 24 27 29 31 32 33 34 37 38 39 40 41 42 44 45 46 48 49 54 55 57 58 59 61 62 63 64 65 66 68 69 70 72 73 76 77 80 81 83 85 86 87 88 89 90 92 93 94 96 97 100 103 105 107 108 109 110 +1 0 0 1 -1 0 -1 1 0 : 0 1 2 4 7 8 10 11 12 14 15 16 17 19 20 21 23 24 25 27 28 31 32 34 35 37 38 41 42 44 46 47 48 50 51 52 53 55 56 57 59 61 62 65 66 69 70 73 74 76 78 79 80 82 83 84 85 87 88 89 91 93 94 97 98 100 101 103 104 107 108 110 111 +1 1 1 -1 3 1 3 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 14 15 16 17 19 21 22 24 25 27 28 30 32 33 34 36 37 40 41 42 46 47 48 50 51 52 53 55 56 57 61 62 63 66 67 68 69 70 73 74 75 76 78 79 80 81 82 83 84 85 88 89 90 94 95 96 98 99 100 101 103 104 106 108 109 110 +1 1 -1 0 -1 -1 1 -1 0 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 21 22 23 24 27 29 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 49 50 52 53 54 55 56 58 59 60 62 63 65 66 68 70 71 73 74 77 78 80 81 83 84 86 87 89 90 93 94 96 97 99 100 101 102 104 105 106 108 111 +1 0 0 2 0 0 1 0 1 : 0 2 3 5 6 9 11 12 14 16 17 18 19 20 21 22 23 24 27 29 30 32 35 36 37 38 40 41 43 44 45 47 48 49 50 53 54 55 56 58 59 60 62 63 65 66 67 68 69 71 72 73 74 76 77 78 80 81 83 84 86 87 89 90 91 93 94 95 96 98 99 100 103 105 106 108 111 +1 1 3 3 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 55 57 58 59 60 67 71 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 111 +1 0 1 1 -1 1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 25 27 28 29 30 31 32 33 35 36 37 38 39 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 72 73 74 75 76 77 78 79 84 85 86 87 88 89 90 91 96 97 98 99 100 101 102 109 110 111 +1 0 0 1 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 24 25 26 29 30 33 34 35 36 39 40 43 44 45 46 47 48 51 52 55 56 57 58 59 60 63 64 67 69 70 73 74 76 77 78 79 81 82 85 86 88 89 90 91 93 94 97 98 100 101 102 105 106 109 110 111 +1 3 1 -1 3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 25 29 31 32 33 34 36 43 44 45 46 47 48 49 50 51 52 53 54 56 61 62 63 64 65 66 67 71 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 1 3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 26 27 28 30 33 34 35 37 38 39 40 41 42 47 48 49 50 51 55 56 57 58 59 60 64 65 66 67 71 72 73 74 75 76 80 81 82 83 84 88 89 90 91 92 93 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 3 1 -1 1 -1 1 -1 -3 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 24 26 28 29 30 32 34 37 38 40 41 43 44 46 47 49 50 52 53 55 56 58 59 61 62 64 65 67 68 70 71 73 74 76 77 78 79 80 82 83 85 86 88 89 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 1 3 -1 1 3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 18 19 20 21 22 23 24 25 27 29 31 32 33 35 36 37 40 41 43 44 45 46 48 49 54 55 57 58 59 60 62 63 66 67 68 69 71 72 74 75 76 77 80 81 83 85 86 87 88 89 90 91 94 95 97 98 99 100 101 103 105 107 108 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99 102 104 107 109 +1 1 -1 -1 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 +1 1 -1 1 -3 3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 24 25 26 29 31 32 33 34 36 40 41 42 43 44 45 46 47 48 52 53 54 56 57 58 59 61 62 63 64 65 66 71 72 73 74 75 76 77 78 79 83 84 88 89 90 91 92 93 94 95 96 101 102 103 104 106 109 110 111 +1 1 -1 1 -3 -1 -1 -3 -1 : 0 2 3 4 6 7 8 9 11 12 13 14 15 16 17 18 19 21 24 25 28 30 31 32 33 34 36 37 38 40 42 44 45 47 49 51 52 53 54 55 56 57 58 60 62 63 64 65 67 68 70 72 74 75 77 79 81 82 83 84 85 86 88 90 92 93 95 97 99 101 102 103 104 105 107 110 111 +1 3 1 -1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 26 29 31 32 34 37 38 39 43 44 45 46 47 49 50 51 55 56 61 62 63 67 68 69 70 71 73 74 75 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -3 1 1 -1 1 3 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 19 21 22 23 24 27 29 30 31 33 34 35 36 38 39 41 42 45 46 48 49 51 52 54 55 57 58 61 62 64 65 67 69 70 72 73 75 76 77 79 80 81 82 83 85 86 88 89 91 92 93 95 96 98 99 100 103 105 106 107 109 110 111 +1 1 1 -1 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 26 30 31 32 33 36 37 38 39 40 45 46 47 48 49 50 53 54 55 56 57 58 63 64 65 66 67 68 69 70 71 75 76 77 78 79 80 84 85 86 87 88 93 94 95 96 97 98 100 101 102 106 107 108 109 +1 3 -1 -1 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 25 28 29 30 32 33 35 36 37 39 41 42 44 45 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 69 70 72 74 75 76 77 79 81 82 84 86 87 88 89 91 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 0 1 -1 0 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 43 44 45 46 47 48 52 53 54 55 57 58 59 60 61 62 63 67 71 72 73 74 75 76 80 81 82 83 85 86 87 88 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69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 96 100 102 103 104 106 110 111 +1 1 -1 0 -1 1 1 0 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 19 20 22 23 24 26 27 28 29 31 34 35 36 38 39 40 41 42 43 44 46 48 50 51 53 54 55 56 57 58 59 61 63 65 66 67 68 70 72 74 75 76 77 78 80 82 85 87 89 90 91 92 93 95 97 99 100 101 104 106 107 108 109 111 +1 3 3 -1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 39 41 45 50 53 58 62 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 28 29 31 32 33 37 38 39 40 41 42 45 47 49 50 51 53 55 57 58 59 60 61 63 65 67 68 69 70 72 74 77 78 79 80 81 82 85 86 87 88 89 90 93 95 97 98 99 102 103 104 106 107 110 111 +1 1 -1 -1 1 -3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 25 26 27 30 31 33 35 36 37 38 39 41 44 45 46 47 50 52 54 55 56 57 59 60 61 62 63 65 68 70 71 72 73 75 76 77 78 79 81 86 88 89 90 91 92 94 95 96 97 99 100 102 104 105 108 109 110 +1 0 1 -1 1 -1 -1 0 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 58 59 60 62 64 66 67 68 69 70 72 74 76 77 78 79 80 81 82 84 86 88 90 91 92 93 94 96 98 100 101 102 103 105 106 108 109 110 111 +1 0 0 1 0 -1 0 2 0 : 0 3 4 5 6 7 8 10 13 15 16 17 18 19 20 21 22 24 26 28 31 33 35 36 37 38 39 40 42 44 45 46 47 48 50 53 55 56 57 58 59 61 63 64 65 66 67 68 69 70 71 72 74 76 77 78 79 80 82 85 87 88 89 90 91 93 95 96 97 98 99 100 102 104 107 109 111 +1 3 -1 -1 3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 25 26 29 31 32 34 35 36 40 41 42 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 1 -3 -1 3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 24 25 26 30 31 32 33 35 39 40 41 42 43 44 48 49 50 51 52 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36 37 39 41 42 43 45 46 47 48 49 51 52 54 55 56 57 58 60 61 62 64 66 67 69 70 71 72 73 75 76 77 79 81 82 83 84 85 86 88 90 91 92 94 95 96 97 98 100 104 105 106 107 111 +1 1 -1 3 3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 34 35 36 37 38 39 40 41 43 46 48 50 51 54 56 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 82 85 90 92 93 94 95 96 97 98 99 100 101 104 106 108 109 110 111 +1 3 -1 1 1 1 1 -1 3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 29 30 31 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 66 67 68 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 2 0 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 42 43 44 45 46 47 50 51 52 53 54 55 58 59 60 61 62 63 66 67 68 69 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 92 93 96 97 98 99 102 103 108 109 +1 1 1 0 -1 1 1 -1 0 : 0 1 2 4 5 6 8 9 11 12 13 16 17 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14 15 16 17 18 19 21 22 25 26 27 28 29 31 32 35 37 38 41 42 45 46 48 49 50 51 52 53 54 55 57 58 61 62 65 66 68 69 70 71 73 74 77 78 81 82 84 86 87 88 89 90 91 92 93 94 95 97 98 101 102 103 104 105 107 108 111 +1 1 1 1 -1 1 1 3 -3 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 25 28 29 30 31 32 33 35 36 37 42 43 44 45 46 47 48 49 54 55 56 57 58 59 60 61 66 67 70 71 72 73 74 75 76 77 82 83 84 85 86 87 88 89 91 94 95 96 97 98 99 101 104 105 106 107 108 109 111 +1 1 -1 1 0 0 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18 19 23 24 25 26 30 31 32 33 34 36 37 38 39 40 44 48 49 50 51 52 53 54 55 56 57 58 60 61 62 64 65 66 67 68 69 70 71 75 79 80 81 82 83 84 85 86 87 88 92 96 97 98 99 101 102 103 104 105 109 110 111 +1 1 1 1 1 1 -1 -3 3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 38 39 42 43 46 47 48 49 54 55 56 57 60 61 64 65 66 67 70 71 72 73 76 77 80 81 82 83 84 85 88 89 90 91 92 93 94 95 96 98 99 103 104 105 106 107 109 110 111 +1 0 1 0 1 0 0 1 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33 35 38 39 40 41 44 46 47 48 49 50 52 53 58 59 60 61 62 64 66 67 69 70 71 72 73 75 78 79 80 81 84 85 87 89 90 91 92 93 98 99 101 104 105 106 107 110 +1 0 1 -1 1 -1 0 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 26 27 29 31 32 34 36 37 40 41 42 44 45 47 48 49 52 53 54 56 57 58 59 60 61 64 65 66 68 69 71 72 73 76 77 78 79 80 81 83 84 85 88 89 90 92 93 95 96 97 100 101 102 104 105 106 107 109 110 111 +1 1 -1 3 3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 30 31 32 34 35 36 37 38 39 41 42 43 44 48 49 50 52 56 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 80 87 88 92 93 94 95 96 97 98 99 100 101 103 104 105 109 110 111 +1 1 -1 -1 -1 -3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 26 27 29 31 33 34 35 36 37 38 39 42 44 45 46 47 49 52 53 54 55 57 60 62 63 64 65 67 68 69 70 71 73 76 78 79 80 81 83 84 86 87 88 89 91 94 96 97 98 99 100 101 102 104 106 108 109 +1 1 1 3 3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 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109 110 111 +1 1 1 1 -1 1 -3 -3 -1 : 1 2 3 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 25 27 28 29 31 32 33 35 36 39 40 43 44 45 46 47 48 51 52 55 56 57 58 59 60 63 64 67 68 71 72 73 74 75 76 79 80 83 84 85 86 87 88 89 90 92 95 96 97 98 99 101 103 104 105 107 108 109 111 +1 0 0 0 0 1 2 1 0 : 0 1 2 3 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 37 39 40 42 43 44 45 47 48 50 51 52 53 55 56 58 59 60 61 63 64 66 67 68 69 71 72 74 75 76 77 79 80 82 83 84 85 87 88 90 91 92 93 95 96 98 99 102 103 104 107 108 109 +1 1 1 1 -3 -1 -3 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 14 15 16 17 18 20 22 25 26 27 28 30 32 34 35 36 37 40 41 43 46 47 49 50 51 52 53 54 56 57 60 62 63 66 67 68 69 70 72 73 76 78 79 82 83 84 85 86 87 88 89 90 92 93 95 96 98 99 101 102 103 104 106 108 110 111 +1 0 1 0 -2 -1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 101 102 109 110 +1 1 -1 -1 -1 -1 3 3 1 : 1 2 3 4 5 7 9 10 11 13 14 15 17 18 19 21 22 23 27 28 29 31 32 33 34 35 37 38 39 40 41 42 43 44 45 46 47 48 51 52 53 54 55 56 59 60 63 64 67 68 69 70 71 72 75 76 79 80 83 84 87 88 91 92 95 96 97 98 99 100 101 102 103 104 106 107 108 +1 1 1 0 -1 1 -1 1 0 : 0 1 2 5 6 7 8 10 11 12 14 16 17 18 21 22 23 24 25 27 29 30 31 33 35 37 38 40 41 43 44 46 47 49 50 53 54 56 57 59 60 62 63 65 66 68 69 71 72 73 74 75 77 78 80 81 83 84 85 87 88 89 90 91 93 94 96 97 99 100 101 103 105 106 107 109 111 +1 0 1 -1 1 0 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 26 27 30 31 33 34 38 40 41 42 43 45 48 49 50 51 52 54 55 56 57 58 59 62 64 65 66 67 69 72 73 74 75 76 77 79 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 1 -3 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 35 36 37 38 39 40 41 42 44 45 46 48 55 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 84 91 95 97 98 99 100 101 102 103 104 106 111 +1 1 1 -3 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 27 29 31 33 34 35 37 40 41 43 44 45 47 48 49 50 51 52 53 54 55 56 58 59 60 62 63 66 68 69 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 87 90 94 97 100 103 105 107 109 110 111 +1 1 -3 -1 -1 -1 1 -1 -3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 49 50 52 54 55 57 58 61 62 64 65 67 68 69 71 72 74 75 76 78 79 81 82 84 86 87 89 90 93 94 96 97 99 100 101 102 104 105 106 108 +1 1 0 1 -1 0 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 25 27 28 29 30 31 32 34 35 39 40 41 42 43 44 48 49 50 51 53 54 55 56 57 58 59 63 64 65 66 67 68 69 70 71 75 76 77 78 79 80 84 85 86 87 89 90 91 92 93 94 95 99 101 102 106 107 108 109 111 +1 1 1 -1 1 -3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 24 26 27 28 29 32 33 34 38 39 40 41 44 46 47 48 49 50 53 54 55 56 57 59 62 63 64 65 68 70 71 72 73 74 76 77 78 79 81 82 83 86 87 88 89 92 94 95 96 97 98 100 102 103 104 105 108 109 110 +1 1 -1 3 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 27 28 29 33 34 35 39 40 44 48 49 50 52 53 54 55 56 57 58 59 60 61 62 63 65 66 67 68 72 73 74 76 77 78 80 81 82 83 84 85 86 87 89 90 91 93 94 95 99 100 101 102 106 107 108 111 +1 0 1 -1 0 0 0 -1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 19 21 22 23 24 25 26 27 28 30 32 33 34 36 37 42 43 46 47 48 49 52 53 55 57 58 59 61 62 63 64 65 67 68 69 70 72 74 75 76 78 79 80 81 82 84 85 90 91 94 95 96 97 100 104 105 106 107 111 +1 1 -1 -3 1 1 -1 -1 3 : 1 2 3 4 5 6 9 10 11 12 15 16 17 18 19 21 22 23 24 25 26 29 30 31 32 35 36 39 40 41 42 44 45 46 48 49 50 51 52 55 56 57 58 60 61 62 65 66 67 69 70 71 72 75 76 79 80 81 82 85 86 87 88 91 92 95 96 97 98 100 103 104 105 106 109 110 111 +1 1 -1 1 0 -1 0 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 15 16 17 18 20 22 24 25 27 29 31 32 33 34 36 38 39 42 43 44 45 46 48 49 52 53 54 55 56 58 59 60 61 62 63 64 65 66 70 71 73 74 75 76 77 80 81 83 84 86 87 90 91 92 93 94 96 97 101 102 103 104 106 108 110 111 +1 1 0 -1 1 -1 -1 0 -1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 24 25 26 27 29 30 32 33 34 35 36 37 38 40 42 44 45 46 47 48 49 50 52 54 56 58 59 60 61 62 64 66 68 69 71 73 75 76 77 78 79 80 81 83 85 87 89 90 91 92 93 95 97 99 100 102 103 104 105 107 110 +1 1 -1 3 1 -1 1 3 1 : 0 2 3 4 5 7 8 10 12 13 14 16 17 19 20 21 22 23 24 25 27 28 29 31 33 35 36 38 39 40 42 44 45 47 48 50 51 53 54 55 57 59 60 61 62 63 65 66 67 68 70 72 73 74 76 78 79 80 82 85 87 88 89 91 93 94 95 97 99 100 102 104 106 107 108 110 111 +1 1 0 0 -1 1 0 1 0 : 0 3 5 6 7 8 9 10 11 12 14 16 18 21 23 25 26 28 31 33 34 37 39 40 41 42 43 44 46 49 51 53 55 56 57 58 59 60 62 65 67 69 71 72 73 74 75 76 78 81 83 85 87 88 89 90 91 92 94 97 99 100 101 103 105 106 107 108 109 111 +1 1 1 0 1 0 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 17 18 19 20 21 22 24 26 27 29 31 33 34 35 36 37 38 39 42 44 45 46 47 49 54 56 57 58 59 61 64 65 66 67 68 69 70 71 73 76 77 78 79 80 81 83 85 88 89 90 91 92 93 95 96 97 98 99 100 102 103 105 107 109 110 111 +1 1 3 1 1 -3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 40 41 42 43 47 48 49 50 51 55 56 57 58 59 61 62 63 64 65 66 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 95 97 98 99 102 105 107 108 109 110 111 +1 1 1 -1 3 1 3 1 -1 : 0 1 2 3 5 7 8 10 11 12 13 14 15 16 17 18 20 22 24 25 27 29 31 32 33 34 36 37 40 41 43 46 47 49 50 51 52 53 54 56 57 60 62 63 66 67 68 69 71 72 74 75 77 78 79 80 81 82 83 84 85 88 89 91 94 95 97 98 99 100 101 103 105 107 108 109 110 +1 2 0 1 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 36 37 38 39 40 41 42 43 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 3 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 54 56 58 59 61 66 70 72 74 75 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 104 106 108 109 111 +1 1 3 -1 -1 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 42 43 44 45 48 49 51 52 53 56 57 59 60 61 62 64 65 69 70 71 72 73 74 75 78 79 81 82 83 86 87 89 90 91 92 94 95 98 99 100 101 103 106 107 108 109 +1 1 -1 0 0 -2 0 0 0 : 4 5 6 7 8 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 52 53 54 55 60 61 62 63 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 -1 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 25 26 27 29 30 31 32 33 34 35 36 38 40 42 43 44 46 47 48 49 50 51 52 53 54 56 58 60 62 64 66 67 69 71 73 74 75 77 78 79 80 81 82 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 +1 1 -3 -1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 50 51 52 53 54 55 56 58 59 60 62 63 66 70 73 77 80 81 83 85 88 89 91 92 93 95 96 97 98 99 100 101 102 104 106 108 +1 1 -1 -3 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 26 27 30 31 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 53 58 60 61 63 65 68 70 71 72 73 74 75 78 80 82 83 84 85 87 89 92 93 94 95 96 97 99 100 101 104 105 108 109 111 +1 1 1 0 0 1 0 0 -1 : 1 2 4 5 7 8 11 12 15 16 19 20 23 24 25 27 28 29 31 32 33 34 35 36 39 40 43 45 46 49 50 53 54 57 58 60 63 64 67 68 71 72 73 74 75 77 78 80 81 82 83 85 86 88 89 90 91 92 95 96 97 98 99 100 101 103 104 105 107 108 109 110 111 +1 0 0 2 0 0 0 -1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 20 21 22 23 24 28 29 30 31 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 54 56 58 59 60 62 63 64 65 66 68 69 71 73 74 75 77 78 79 80 81 83 84 86 87 88 89 90 92 93 94 96 98 99 100 104 105 106 107 111 +1 1 0 0 0 0 -1 -1 1 : 1 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 40 41 42 43 44 45 46 47 48 52 53 54 55 56 60 64 65 66 67 68 69 70 71 72 76 80 81 82 83 84 88 89 90 91 92 93 94 95 96 100 101 102 103 104 106 109 110 111 +1 0 1 1 0 0 -1 0 1 : 0 1 3 5 6 9 11 12 14 16 17 18 20 21 23 25 26 27 28 30 31 33 34 35 37 38 39 40 42 43 44 46 47 49 50 51 53 55 56 58 60 62 65 67 69 71 72 74 76 78 81 83 84 85 87 88 89 90 92 93 94 96 97 99 100 103 105 106 108 111 +1 3 3 -1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 19 21 24 25 26 27 28 29 30 31 32 33 34 35 37 42 46 48 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 1 1 -1 -1 -3 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 25 26 29 30 31 32 35 37 38 39 40 43 44 47 48 49 50 52 53 54 57 58 59 61 62 63 64 67 68 69 70 73 74 75 77 78 79 80 83 84 87 88 89 90 92 93 94 97 98 99 100 103 104 105 106 109 110 +1 1 -1 1 -1 3 -1 -3 1 : 0 1 3 4 5 6 8 10 11 13 14 15 16 17 18 20 21 23 24 26 28 29 31 32 33 34 36 37 39 40 41 42 45 47 48 50 52 54 55 56 57 58 59 60 61 63 64 65 66 69 71 72 74 77 78 79 80 82 83 84 85 87 88 89 90 93 95 96 98 101 102 103 104 106 107 109 111 +1 1 0 0 2 0 0 1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 25 28 31 34 36 38 40 42 44 45 46 47 48 49 50 51 52 54 56 58 60 61 62 63 64 65 66 67 68 70 72 74 76 77 78 79 80 81 82 83 84 86 88 90 92 93 94 95 96 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 -1 1 -3 -1 -1 3 : 1 2 3 4 5 7 8 9 10 11 12 15 16 19 20 21 22 23 24 26 27 28 29 30 33 34 36 39 40 43 44 45 46 48 49 50 53 54 55 57 58 59 60 63 64 67 68 69 70 72 73 74 76 77 78 79 81 82 83 84 87 88 91 92 93 94 96 97 98 100 102 103 104 105 106 109 110 +1 3 1 -1 -3 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 25 26 27 30 31 34 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 59 62 64 66 67 68 69 70 71 72 73 74 75 76 77 79 81 84 85 86 87 88 89 90 91 93 98 100 101 102 103 104 105 106 107 108 109 111 +1 0 1 0 0 2 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 33 34 35 36 37 38 39 40 41 44 45 46 47 48 49 52 53 54 55 56 57 60 61 62 63 64 65 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 102 103 108 109 +1 1 -1 -1 1 -3 1 -3 1 : 0 2 3 5 6 7 8 10 12 13 14 15 16 17 18 19 21 23 25 26 27 28 29 31 33 35 36 38 39 41 42 43 44 45 46 47 48 49 50 52 54 57 59 60 62 63 65 66 67 68 70 73 75 76 78 79 81 82 83 84 85 86 88 89 91 92 94 97 99 100 102 104 106 107 108 109 110 +1 0 1 0 -1 0 0 1 -1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 25 26 27 29 31 32 33 35 36 37 42 43 44 45 46 48 50 51 54 55 56 57 60 62 63 64 65 66 68 69 71 73 74 75 76 77 82 83 85 86 87 88 89 91 94 95 96 97 101 104 105 106 107 110 +1 3 1 1 -1 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 25 26 30 31 32 33 35 36 37 38 39 40 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 89 90 91 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 0 -1 0 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 26 27 28 29 30 31 32 33 35 36 37 39 41 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 79 81 84 85 86 87 88 89 90 91 93 98 100 101 102 103 106 107 110 +1 0 1 0 0 -2 0 0 1 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 30 31 32 33 34 35 36 39 40 41 42 43 45 46 48 49 50 51 53 54 56 57 58 59 60 63 64 65 66 67 68 69 70 71 73 74 76 77 78 79 80 83 84 85 86 87 88 91 92 93 94 95 97 98 102 105 106 109 +1 1 -3 -1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 53 54 55 56 57 58 60 61 62 64 68 75 79 81 82 83 87 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 105 +1 1 1 -1 1 1 1 -3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 24 28 29 30 31 32 33 34 36 37 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 66 67 70 71 72 73 74 75 76 77 78 79 80 81 82 84 85 90 91 94 95 96 97 98 99 100 104 105 106 107 108 109 110 +1 1 1 1 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 17 18 20 22 23 25 27 28 30 32 33 34 35 37 38 39 42 43 44 45 47 48 49 54 55 56 58 59 60 61 64 65 66 70 71 72 74 75 76 77 80 81 82 84 86 87 88 89 90 91 92 93 94 96 97 98 99 101 103 104 106 108 109 110 111 +1 1 -1 3 1 3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 30 33 35 36 37 38 39 43 44 45 46 49 50 51 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 88 89 90 91 95 96 97 98 99 100 102 105 107 108 109 110 111 +1 1 1 -3 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 35 36 37 38 39 40 42 43 44 46 47 50 53 56 57 59 60 61 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 82 83 86 89 93 96 97 99 100 101 102 104 105 108 111 +1 0 1 1 1 0 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 26 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 52 53 54 55 56 60 61 62 63 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 95 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 3 1 1 3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 44 45 46 47 51 52 53 54 55 59 60 61 62 65 66 67 68 72 73 74 75 79 80 81 82 83 87 88 89 90 91 93 94 95 96 97 98 99 102 106 107 108 109 110 111 +1 0 1 0 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 89 90 91 92 99 101 102 103 104 105 106 107 108 109 110 +1 3 1 3 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 25 29 31 32 33 35 36 43 44 45 46 48 52 53 54 55 56 57 58 59 61 62 63 64 65 66 67 71 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 -1 3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 27 29 31 32 33 34 35 36 38 39 42 43 46 47 49 50 51 54 55 57 58 59 61 62 63 64 65 66 70 71 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 106 108 +1 0 2 0 0 0 0 -1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 55 57 58 59 61 62 63 64 65 67 68 69 70 72 74 75 76 78 79 80 81 82 84 86 87 88 89 90 92 93 94 96 98 99 104 105 106 107 +1 1 0 1 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 29 30 32 33 34 35 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 98 99 104 105 107 108 109 110 111 +1 0 0 1 0 2 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 23 24 26 27 32 33 35 36 37 38 39 40 41 44 45 46 47 48 49 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 86 87 88 89 90 91 94 95 96 97 98 99 100 102 103 108 109 111 +1 1 1 0 -1 -1 0 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 18 19 20 21 23 24 25 26 27 30 31 32 35 36 37 39 40 41 44 45 48 49 50 53 54 55 58 59 62 63 64 66 67 68 69 70 71 72 73 75 76 77 79 80 81 84 85 86 87 89 90 91 93 94 95 98 99 100 101 102 103 106 107 108 111 +1 0 2 1 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 110 111 +1 1 1 -3 3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 33 34 35 39 40 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 63 64 68 72 73 74 76 77 78 79 80 81 82 83 84 85 86 87 89 90 91 92 96 97 98 100 101 103 104 105 109 110 111 +1 1 -3 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 44 45 46 48 49 50 51 52 53 54 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 73 74 75 77 78 79 83 85 86 87 91 95 96 103 104 106 109 110 111 +1 3 -1 -1 -1 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 26 27 28 29 31 34 35 36 38 39 40 41 42 43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 68 70 72 74 75 76 77 78 80 82 84 85 86 88 90 93 94 95 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +1 0 1 2 0 -1 0 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: 0 1 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 27 28 29 30 32 33 34 35 36 37 38 39 41 43 45 47 48 50 53 55 56 58 60 62 64 65 66 67 69 71 72 74 76 78 80 81 82 83 84 86 88 89 90 91 92 93 94 95 96 97 99 103 104 105 106 108 109 110 111 +1 1 -1 1 -1 3 -1 3 -1 : 0 2 3 5 6 7 8 10 12 13 14 15 16 17 18 19 21 23 24 26 28 30 31 32 33 34 36 37 38 40 41 43 44 46 49 51 53 54 55 56 57 58 59 60 61 62 64 65 67 68 70 73 75 76 78 79 81 82 83 84 85 86 88 89 91 92 94 97 99 101 102 103 104 105 107 109 111 +1 1 1 -1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 27 28 30 33 36 40 41 42 47 48 55 56 61 62 63 67 68 69 70 72 73 74 75 76 80 81 82 84 88 89 90 95 96 100 101 103 104 106 109 +1 1 1 -1 3 -1 -3 -1 1 : 0 1 2 3 5 7 8 9 10 11 12 13 15 17 19 21 22 23 24 25 26 27 28 30 32 34 36 38 39 42 43 44 45 46 48 49 54 55 57 58 59 60 61 64 65 67 68 69 71 72 74 75 76 77 78 79 80 81 82 84 86 87 90 91 92 93 94 96 97 100 101 102 103 104 106 108 110 +1 1 -3 1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 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109 110 111 +1 0 1 0 -1 -1 1 0 0 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 16 17 22 23 24 25 26 28 29 30 31 32 35 38 39 40 41 44 45 48 49 50 51 54 55 56 57 60 61 64 65 66 67 68 69 70 71 74 75 78 79 80 81 84 85 86 87 90 91 94 95 96 97 101 102 103 108 109 110 +1 1 -1 1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 27 28 30 31 33 34 36 38 40 41 42 44 45 46 49 50 51 52 54 55 56 58 60 62 64 65 66 68 69 70 73 74 75 77 78 79 81 83 84 86 88 89 90 92 93 94 97 98 99 101 102 104 105 107 108 111 +1 3 -1 -3 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 25 28 29 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 60 61 63 65 68 69 70 71 72 73 75 76 77 78 79 80 81 82 83 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 -1 -1 -1 -1 -3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 44 45 46 47 48 49 52 53 54 55 56 57 60 61 66 67 68 69 70 71 72 73 76 77 82 83 84 85 90 91 94 95 96 97 98 99 100 101 102 103 104 105 106 107 +1 1 0 0 0 -1 0 2 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 26 28 31 33 37 39 40 41 42 43 45 47 48 49 50 51 53 55 56 57 58 59 61 63 64 65 66 67 69 71 72 73 74 75 77 79 80 81 82 83 85 87 88 89 90 91 93 95 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 0 1 -1 1 0 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 26 27 29 31 33 34 36 37 38 39 42 44 45 46 47 49 52 53 54 55 56 58 59 60 61 62 63 66 68 69 70 71 73 76 77 78 79 80 81 83 84 85 86 87 90 92 93 94 95 97 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -3 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 20 22 23 24 28 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 51 53 54 55 56 57 58 60 61 62 64 66 68 69 71 73 75 77 79 81 82 83 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 107 111 +1 1 -3 1 1 1 -1 1 3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 27 28 29 31 32 33 34 35 36 38 39 41 42 45 46 48 49 51 53 54 56 57 59 60 61 63 64 65 66 67 68 70 71 73 74 77 78 80 81 83 85 86 88 89 91 92 93 95 96 98 99 103 105 106 107 109 110 111 +1 0 1 0 0 1 -2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 27 28 29 30 31 32 33 34 35 38 39 40 41 42 43 46 47 48 49 50 51 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 76 77 78 79 80 81 84 85 86 87 88 89 92 93 94 95 96 97 102 103 108 109 +1 1 -1 1 1 -3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 30 33 37 38 39 40 41 42 44 45 46 47 48 52 53 54 55 56 60 61 62 63 67 71 72 73 74 75 77 78 79 80 81 82 85 86 87 88 89 90 92 93 94 95 96 102 105 107 108 109 110 111 +1 1 -1 3 1 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 17 18 19 20 21 22 23 24 25 26 30 31 32 33 35 36 37 38 39 40 45 46 47 48 49 50 52 56 57 58 59 60 61 62 64 65 66 67 68 69 70 71 75 76 77 78 79 80 87 88 89 90 91 92 96 97 98 99 100 102 103 104 105 109 110 111 +1 1 -1 -3 1 1 -1 1 -3 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 20 21 22 23 24 25 26 28 29 30 32 35 37 38 40 41 43 44 45 47 48 49 50 51 53 54 56 57 59 60 61 63 64 66 67 68 70 71 73 74 77 78 80 81 83 84 86 87 89 90 93 94 96 97 99 100 103 105 106 107 109 110 111 +1 0 1 -1 0 0 0 -1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 20 21 22 23 24 25 26 27 28 29 32 33 34 38 39 40 41 44 45 50 51 53 54 55 56 57 59 60 61 63 65 66 67 68 70 71 72 73 74 76 77 78 80 82 83 86 87 88 89 92 93 98 99 100 104 105 106 107 111 +1 1 1 -1 0 0 -1 -1 1 : 1 3 4 5 6 7 9 10 11 12 13 14 16 19 21 22 23 24 25 26 27 28 30 33 34 36 40 41 42 43 44 45 46 47 48 55 56 57 58 59 60 61 62 63 67 68 69 70 72 73 74 75 76 77 78 79 80 81 82 84 88 89 90 91 92 93 94 95 96 100 101 102 103 104 106 109 110 +1 1 0 -2 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 -1 1 -1 -3 1 1 -3 : 1 2 3 4 6 7 8 9 10 11 12 15 16 19 20 21 22 23 24 26 27 28 29 30 33 34 37 38 39 41 42 43 44 47 48 51 52 53 54 55 56 57 58 61 62 63 65 66 67 68 71 72 75 76 77 78 80 81 82 85 86 87 89 90 91 92 95 96 99 101 102 105 106 107 108 109 111 +1 1 0 -1 1 -1 -1 0 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 25 26 27 29 30 32 33 34 35 36 37 39 41 43 44 45 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 68 69 70 72 74 76 77 78 79 80 81 82 84 86 88 90 91 92 93 94 96 98 100 102 103 104 106 107 110 +1 1 -1 -3 1 1 1 3 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 51 52 54 56 58 59 60 62 63 64 65 67 68 69 71 73 75 77 79 81 82 83 84 85 86 88 90 92 94 96 98 99 100 104 106 107 108 109 110 111 +1 1 0 1 -1 0 0 0 1 : 1 2 5 6 8 9 10 11 13 14 15 16 17 18 20 21 22 23 24 25 29 30 34 35 36 39 41 42 44 47 49 50 52 53 54 55 56 57 58 59 60 63 65 66 69 70 72 75 77 78 80 83 84 85 86 87 88 89 90 91 93 94 96 99 101 102 103 104 106 107 108 109 111 +1 1 -1 -1 -3 3 1 1 -1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 20 23 25 26 27 28 30 33 34 35 37 38 39 40 41 42 43 44 45 46 49 50 51 55 56 57 58 59 60 61 62 63 67 71 72 73 74 75 76 77 78 79 83 84 88 89 90 91 92 93 94 95 96 100 101 102 105 107 108 109 110 +1 1 1 0 1 0 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 24 26 27 30 31 33 34 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 81 82 83 84 85 86 87 89 92 93 94 95 96 97 99 100 102 103 106 107 109 110 111 +1 3 -1 1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 18 19 22 24 27 30 31 33 34 36 37 38 39 40 42 43 44 46 47 50 52 53 54 55 56 57 58 59 60 61 62 63 64 66 67 68 70 71 74 78 81 84 85 86 87 88 90 91 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 1 3 3 1 -1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 19 21 22 23 24 25 26 27 28 30 32 33 36 37 42 43 44 45 47 49 50 51 52 53 55 57 58 59 60 62 63 64 65 66 67 68 69 70 72 74 75 76 77 82 83 84 85 90 91 92 93 95 97 98 99 102 103 105 107 108 109 110 111 +1 1 -3 -1 -1 1 3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 26 27 28 29 30 31 33 34 35 37 38 39 40 41 42 43 46 47 49 50 51 54 55 57 58 59 60 62 63 66 67 68 69 71 72 74 75 76 77 80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 103 105 107 108 109 +1 3 -1 -1 -3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 25 26 27 29 31 34 35 36 37 38 39 40 41 42 43 46 48 50 51 52 53 54 55 56 57 58 59 61 66 68 69 70 71 72 73 74 75 77 82 84 86 87 88 89 90 91 92 93 95 97 100 101 102 103 104 105 106 107 108 109 111 +1 0 1 -1 1 1 -1 1 0 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 24 27 29 30 31 33 34 36 38 39 41 42 45 46 48 49 51 52 53 54 55 56 58 59 60 62 63 65 66 69 70 72 73 75 76 77 79 80 81 82 83 84 86 87 89 90 93 94 96 97 99 100 101 102 103 104 107 108 109 110 111 +1 1 -1 -1 -1 -1 -1 -3 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 28 30 31 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 54 56 58 59 60 62 63 64 65 67 68 70 72 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 95 97 99 100 101 102 103 104 105 107 +1 3 -1 -1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 26 27 28 29 34 35 36 37 38 39 40 41 42 43 45 46 47 48 49 50 51 53 54 55 56 57 58 59 63 65 66 67 69 70 71 72 73 74 75 79 81 82 83 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 0 0 1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 25 26 27 28 29 30 31 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 55 58 59 62 63 66 67 70 71 74 75 78 79 82 83 84 85 88 89 92 93 96 97 100 101 102 104 105 106 107 108 109 110 +1 1 1 -1 1 -3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 26 27 30 31 33 34 36 37 39 40 42 43 44 45 46 47 50 53 56 57 58 59 60 61 63 64 66 67 68 69 70 71 74 76 77 78 79 81 84 85 87 88 90 91 92 93 94 95 98 100 102 103 106 107 109 110 +1 1 0 1 -1 -1 -1 0 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 25 26 27 29 30 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 53 54 55 56 57 58 60 61 62 64 66 68 69 71 73 75 77 79 81 82 83 84 85 86 87 88 89 91 92 93 95 97 99 101 102 103 104 105 107 111 +1 1 1 -3 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 36 37 38 39 40 41 43 44 45 47 49 54 56 58 59 60 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 83 85 90 94 96 98 99 100 101 102 103 105 107 111 +1 3 3 1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 17 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 38 41 44 46 47 50 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 3 -1 -1 -1 3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 28 29 30 31 32 33 34 35 37 38 39 40 41 42 44 45 46 48 49 52 53 54 56 57 60 61 64 65 67 68 69 70 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 103 104 106 108 +1 3 -1 -1 -1 1 -1 3 1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 26 28 29 31 32 34 35 36 37 39 40 41 42 43 45 47 48 49 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 85 86 87 89 91 92 93 94 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 3 1 1 -1 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 25 28 30 31 32 33 35 36 37 38 40 42 45 46 47 48 49 50 52 54 56 58 59 60 61 62 64 66 68 70 72 74 75 76 77 78 80 82 84 86 87 88 89 90 91 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 0 -2 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 26 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 100 101 103 104 105 106 107 108 109 110 111 +1 1 -3 -1 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 35 37 38 39 43 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 68 69 70 72 73 74 75 77 78 79 83 84 85 86 87 88 89 90 91 95 96 100 101 102 105 107 108 110 +1 1 1 1 1 -3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 26 30 31 32 33 34 35 39 40 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 63 64 69 70 71 72 73 74 76 77 78 79 80 84 85 86 87 88 92 93 94 95 99 102 106 107 108 109 110 111 +1 3 1 -1 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 29 31 32 33 36 37 38 39 43 44 45 46 47 48 52 53 54 55 56 61 62 63 64 65 66 68 69 70 71 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 0 0 -1 0 1 0 : 0 3 4 5 6 8 10 13 15 16 18 21 23 24 25 27 28 29 30 32 33 34 35 36 37 38 39 41 43 44 45 46 47 49 51 52 53 54 55 57 59 60 61 62 63 65 67 69 71 72 74 77 79 80 82 85 87 88 90 93 95 96 98 100 101 102 103 105 106 107 108 110 111 +1 1 -1 -1 -1 -1 1 -3 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 27 28 29 31 33 34 35 36 38 39 40 42 44 46 48 49 50 52 54 56 57 58 60 61 62 65 66 67 68 70 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 97 99 100 101 102 104 106 107 108 +1 1 -1 -3 1 -1 1 -1 3 : 0 1 2 5 6 7 8 10 11 12 14 16 17 18 19 21 22 23 24 25 27 29 30 31 33 35 36 38 39 41 42 44 45 46 47 48 50 51 52 54 55 57 58 60 61 63 64 66 67 69 70 72 73 75 76 78 79 81 82 85 86 88 89 91 92 94 95 97 98 100 102 104 105 106 108 110 111 +1 0 1 -1 0 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 25 26 27 29 31 34 37 42 44 45 46 47 48 49 50 51 54 56 58 59 60 61 62 63 64 65 66 67 68 69 71 73 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 -1 -3 1 -1 3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 18 19 20 21 23 24 25 27 28 30 32 33 35 37 38 39 42 43 44 45 46 47 49 50 51 52 53 55 56 57 60 62 63 64 65 67 70 71 72 74 75 77 78 79 82 83 84 85 88 89 90 92 93 95 96 97 100 102 103 105 107 108 110 111 +1 1 0 1 1 -1 1 0 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 26 27 29 30 32 33 34 35 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 62 63 64 66 67 69 71 72 73 75 77 78 79 81 83 85 86 87 89 91 92 93 94 95 97 98 99 102 104 105 107 108 110 111 +1 1 0 -1 0 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 47 49 52 53 54 55 56 57 58 59 61 66 68 69 71 73 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 101 102 103 105 107 110 +1 1 1 1 0 0 1 0 0 : 0 1 2 3 9 14 16 18 19 20 21 22 23 25 26 28 29 30 31 32 33 34 35 36 37 40 41 44 45 48 49 54 55 58 59 62 63 66 67 70 71 74 75 78 79 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 104 105 106 107 108 109 110 111 +1 1 -1 1 1 3 1 3 -1 : 0 1 3 5 6 7 8 10 11 13 14 15 16 18 19 21 22 23 24 25 26 27 28 30 31 33 36 38 41 43 44 46 47 49 50 51 52 54 55 57 58 59 60 61 63 64 65 66 67 68 69 70 72 73 75 76 78 81 83 84 86 89 91 92 94 95 97 98 99 102 104 105 107 108 109 110 111 +1 3 -1 -1 -1 -1 1 -3 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 48 50 52 54 55 56 58 60 62 64 65 66 68 70 71 72 74 76 78 80 81 82 84 86 88 89 90 92 93 94 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 0 1 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 17 18 19 20 21 23 24 26 27 32 33 35 38 39 40 41 46 47 48 49 52 53 56 57 58 59 60 61 64 65 66 67 70 71 72 73 78 79 80 81 84 85 88 89 90 91 92 93 96 97 98 99 101 103 104 105 106 107 109 110 111 +1 1 -1 1 1 -3 -1 -3 1 : 0 1 3 5 6 7 8 9 10 12 13 15 16 17 18 20 21 23 24 25 26 28 29 31 32 33 36 38 41 43 44 45 46 48 49 51 52 53 54 56 57 59 60 61 62 63 64 66 67 68 70 71 73 74 75 76 78 81 83 84 86 89 91 92 93 94 96 97 99 102 103 104 106 107 109 110 111 +1 1 1 3 -1 -1 3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 18 19 20 21 22 23 24 25 26 27 30 31 32 35 36 37 39 40 41 44 45 48 49 50 53 54 55 58 59 62 63 64 66 67 68 70 71 72 73 75 76 77 79 80 81 84 85 86 87 89 90 91 93 94 95 98 99 100 101 102 103 106 107 108 111 +1 1 -1 1 -1 -3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 26 28 30 32 33 34 36 37 38 39 42 44 45 47 48 50 51 52 53 54 55 57 60 61 62 63 66 68 69 71 72 74 75 77 80 81 82 83 84 85 86 87 90 92 93 95 96 98 99 101 102 103 105 107 109 111 +1 1 1 -3 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 21 22 23 24 25 29 30 31 32 33 35 36 39 41 42 43 44 45 46 48 51 52 55 57 58 59 60 61 62 64 67 69 70 71 72 73 74 75 76 79 81 82 83 85 86 87 88 89 90 92 95 97 98 99 100 101 105 106 107 108 109 111 +1 1 1 -1 -3 -3 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 33 34 36 37 38 39 40 44 48 49 50 51 52 53 54 55 59 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 81 82 83 84 85 86 87 88 92 96 97 98 99 100 101 102 103 104 105 109 110 +1 0 0 0 0 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 36 37 38 39 40 41 42 43 47 48 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 95 96 102 103 104 105 106 107 108 109 +1 1 0 -1 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 27 32 34 35 36 37 38 39 40 41 42 43 44 45 48 49 52 53 56 57 62 63 66 67 68 69 70 71 72 73 74 75 76 77 80 81 84 85 88 89 94 95 98 99 100 101 102 103 104 105 106 107 109 +1 1 -3 -1 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 52 53 54 56 59 60 63 65 66 67 69 70 71 72 73 74 76 77 78 80 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 105 106 +1 3 1 -1 1 -1 1 1 3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 26 29 30 31 32 34 36 39 40 41 42 45 46 47 48 51 52 53 54 57 58 59 60 63 64 65 66 69 70 71 72 75 76 77 78 79 81 82 83 84 87 88 89 90 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 1 0 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 25 29 31 32 33 35 36 43 44 45 46 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 25 26 27 30 31 34 36 37 39 41 44 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 75 78 80 82 83 84 85 87 89 92 94 95 96 97 98 99 101 104 105 108 109 110 111 +1 3 -1 1 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 20 21 22 24 27 28 29 33 34 36 37 38 39 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 60 61 62 63 65 66 67 69 70 71 75 79 80 84 85 86 87 89 90 91 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 0 0 -2 0 0 0 : 4 5 6 7 8 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 76 77 78 79 84 85 86 87 92 93 94 95 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 1 -1 -3 3 1 : 0 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 25 27 28 29 31 32 33 35 36 37 38 39 41 42 44 45 47 48 49 50 51 53 54 57 58 60 61 62 63 65 66 69 70 73 74 76 77 78 79 81 82 85 86 88 89 90 91 93 94 97 98 100 102 103 104 106 107 108 110 +1 3 -1 1 1 3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 24 25 26 28 29 32 33 38 40 41 42 43 45 48 49 50 51 53 56 57 58 59 60 61 63 64 65 66 67 68 70 71 72 73 75 78 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 3 -1 -1 1 -3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 25 26 28 29 32 33 35 36 37 38 39 41 44 45 46 47 48 49 51 52 53 54 55 58 60 61 62 63 65 68 69 70 71 74 76 77 78 79 81 84 85 87 88 90 91 92 93 94 95 98 100 101 102 103 104 105 106 107 108 110 111 +1 1 1 1 3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 25 28 30 32 33 34 35 36 37 38 39 40 41 43 46 48 50 51 52 53 55 57 60 62 63 64 65 66 67 68 69 71 73 76 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 101 104 106 108 109 110 111 +1 1 1 0 -1 -1 0 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 16 18 19 20 21 23 24 25 26 27 29 31 32 35 37 38 39 42 43 46 47 48 50 51 52 53 55 56 57 60 61 64 65 66 68 69 70 71 73 74 75 77 78 79 82 83 84 85 86 87 88 89 91 92 93 95 96 97 100 101 102 103 105 107 108 111 +1 3 -1 1 -1 -1 -1 3 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 28 29 31 32 33 34 36 37 39 41 43 45 47 49 50 51 52 53 54 55 56 57 59 60 61 63 65 67 69 71 73 74 75 77 78 79 80 81 82 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 3 -1 -1 1 -3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 17 18 19 20 22 23 24 27 28 29 31 33 34 35 36 37 38 41 42 43 45 46 47 49 51 52 53 54 55 56 58 59 60 62 63 64 66 69 70 71 73 75 77 79 80 81 83 84 86 87 88 90 92 94 96 97 98 100 101 102 104 106 107 108 111 +1 0 1 1 0 0 0 1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 20 21 22 23 25 26 27 30 31 32 33 34 35 36 37 38 40 42 43 44 46 47 48 49 50 52 53 58 59 62 63 64 65 68 69 74 75 78 79 80 81 84 85 87 89 90 91 93 94 95 96 97 99 100 104 105 106 107 111 +1 1 -3 -1 1 -1 -3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 41 44 45 46 47 48 49 51 52 53 56 57 58 60 61 63 64 65 69 70 71 74 75 76 77 78 81 82 83 86 87 88 90 91 93 94 95 98 99 100 102 103 106 107 108 110 +1 0 0 1 -1 0 1 0 1 : 0 2 3 5 6 8 9 10 11 13 15 16 18 20 21 22 23 24 25 27 29 30 32 34 35 37 39 40 42 44 45 47 48 49 50 53 54 55 56 58 59 61 63 64 66 68 70 73 75 76 77 78 80 81 83 84 86 87 89 90 91 92 94 97 99 100 101 103 105 106 108 110 111 +1 1 -1 1 3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 25 26 28 30 32 34 36 38 39 42 44 45 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 68 69 70 71 72 74 75 77 80 81 83 84 86 87 90 92 93 95 96 97 98 99 101 103 105 107 109 110 111 +1 1 -1 0 0 0 -2 0 0 : 0 1 2 3 9 14 17 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 40 41 44 45 48 49 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -3 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 18 19 21 22 23 24 25 28 29 30 32 33 35 36 37 39 41 42 44 45 46 47 48 49 51 52 53 55 57 58 60 62 63 64 65 67 69 70 72 74 75 76 77 79 81 82 85 86 88 90 91 92 93 95 97 98 100 102 103 105 106 107 110 111 +1 1 -3 1 1 -1 -3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 60 61 62 63 64 65 66 70 71 73 74 75 76 78 79 82 83 84 86 87 90 91 92 93 95 96 98 99 102 103 104 106 108 110 111 +1 1 -1 1 1 1 3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 27 30 31 32 36 37 38 41 42 43 45 46 47 50 51 53 54 55 58 59 62 63 64 66 67 68 69 72 73 74 76 77 78 81 82 83 84 85 86 89 90 91 93 94 95 98 99 103 104 105 108 109 110 111 +1 1 -1 -1 1 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 25 28 29 30 32 33 35 37 38 40 42 43 44 45 47 49 50 52 54 55 56 57 59 61 62 64 66 67 68 70 71 72 73 75 77 78 80 82 83 84 85 87 89 90 92 94 95 96 97 99 100 102 103 105 106 107 110 +1 1 1 -1 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 25 26 27 28 30 34 36 37 38 39 40 41 42 47 49 50 51 52 53 54 56 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 95 97 98 99 100 101 102 103 104 106 110 +1 1 -1 -1 -3 1 -1 3 1 : 0 1 3 4 6 7 8 9 10 11 12 14 15 16 18 19 21 22 25 26 28 29 31 32 34 35 36 37 39 40 41 42 43 44 45 46 49 50 51 53 55 56 57 59 60 62 64 65 66 69 71 72 73 75 76 78 80 81 82 85 86 87 89 91 92 94 95 96 98 100 101 103 104 106 107 109 110 +1 1 1 0 -1 -1 0 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 18 19 20 21 23 24 25 26 27 28 30 32 35 36 38 39 42 43 46 47 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 71 72 74 75 76 78 79 82 83 84 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 106 108 111 +1 0 1 0 -1 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 18 19 20 21 24 25 26 27 28 30 32 33 35 36 37 42 43 44 45 47 49 50 51 54 55 56 57 61 62 63 64 65 67 68 69 70 72 74 75 76 77 82 83 84 86 87 88 89 90 94 95 96 97 101 104 105 106 107 110 +1 0 1 0 0 0 2 1 0 : 0 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 27 29 30 31 32 33 34 35 36 37 39 40 41 43 44 45 47 48 49 51 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 84 86 87 88 90 91 92 94 95 96 98 99 103 104 107 108 +1 3 -3 -1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 85 88 89 91 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -3 1 1 3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 18 19 20 21 23 24 25 26 27 30 31 32 35 38 39 40 42 43 44 46 47 48 49 50 51 52 53 56 57 58 60 61 62 65 66 67 69 70 71 74 75 78 79 80 82 83 84 85 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107 108 109 110 +1 1 -1 1 1 -1 -3 -1 3 : 0 1 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 36 38 41 43 44 45 46 47 48 50 52 53 54 55 56 58 60 61 63 64 65 66 67 69 71 72 73 74 75 76 78 81 83 84 86 89 91 92 93 94 95 96 98 102 103 104 105 106 108 110 111 +1 1 1 -1 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 29 31 32 37 38 39 43 47 48 55 56 60 64 65 66 68 69 70 71 73 74 75 77 78 79 83 85 86 87 91 95 96 100 101 102 105 107 108 +1 1 1 0 1 0 1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 17 22 24 26 28 29 30 31 32 33 34 35 36 37 40 41 46 47 50 51 52 53 56 57 62 63 66 67 70 71 74 75 76 77 78 79 80 81 82 83 86 87 90 91 92 93 94 95 96 97 98 99 100 102 104 105 106 107 108 109 110 111 +1 1 -1 1 -1 1 3 -1 -3 : 0 1 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 24 26 27 29 30 31 32 34 36 38 40 41 42 43 45 47 48 50 52 53 54 55 57 58 59 60 62 64 65 66 67 69 71 72 74 76 77 78 79 81 83 84 86 88 89 90 91 93 95 96 98 101 103 104 105 106 108 109 111 +1 0 1 -1 0 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 29 31 32 34 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 60 64 65 66 68 69 70 71 72 73 74 75 77 78 79 83 84 85 86 87 88 89 90 91 95 96 100 102 103 104 105 106 107 108 109 111 +1 1 -1 3 1 1 1 3 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 30 31 35 36 38 40 42 43 44 46 47 48 49 51 53 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 74 76 78 80 82 83 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 111 +1 2 0 0 0 -1 0 0 1 : 1 2 4 5 7 8 11 12 15 16 19 20 23 26 29 30 33 36 37 38 39 41 42 44 45 46 47 48 51 52 53 54 55 56 59 60 61 62 63 65 66 68 69 70 71 72 75 76 77 78 79 81 82 84 85 86 87 89 90 92 93 94 95 96 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 0 1 0 0 1 : 1 2 4 6 7 8 11 12 15 16 17 18 19 21 22 24 25 27 28 30 31 32 33 34 37 38 41 42 44 47 48 51 52 53 54 55 57 58 60 61 62 63 64 67 69 70 72 73 74 75 76 79 80 81 82 83 85 86 89 90 92 95 96 99 100 102 105 106 109 111 +1 1 3 1 -1 1 -3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 24 25 26 27 28 29 30 31 33 34 35 38 39 40 42 43 45 46 47 50 51 52 54 55 56 57 59 62 63 64 66 67 68 69 72 73 74 76 77 79 80 81 84 85 86 88 89 90 91 92 93 96 97 98 101 103 104 105 108 109 111 +1 1 -1 3 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 19 20 21 22 24 26 27 28 30 33 34 35 37 38 39 40 41 42 47 48 49 50 51 52 53 54 55 57 58 59 60 61 62 63 67 71 72 73 74 75 76 80 81 82 83 84 85 86 87 91 92 93 94 95 96 100 101 102 105 107 108 109 111 +1 1 -1 1 1 -3 -1 -1 3 : 1 2 3 4 5 7 8 9 10 11 12 15 16 17 18 19 20 23 24 25 26 29 30 31 32 33 36 39 40 43 44 45 46 48 49 50 52 53 54 56 57 58 60 61 62 63 65 66 67 69 70 71 73 74 75 76 79 80 83 84 87 88 91 92 93 94 96 97 98 102 103 104 105 106 109 110 111 +1 1 -1 0 0 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 29 32 33 34 35 36 37 39 41 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 63 65 69 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 98 100 101 102 103 106 107 110 111 +1 0 1 -1 -1 -1 -1 -1 0 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 36 37 38 40 43 44 47 49 50 51 52 55 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 1 -1 -3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 25 26 27 29 31 34 36 37 38 39 40 41 43 46 48 50 51 52 53 55 57 60 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 82 84 85 86 87 88 89 91 94 96 98 99 100 101 102 103 105 107 110 +1 1 -1 1 3 -1 -3 1 -1 : 0 1 2 3 4 6 8 9 10 11 12 13 15 16 17 19 21 22 24 25 27 28 30 32 33 34 37 38 39 42 43 44 45 47 48 49 52 53 54 57 58 59 60 61 62 63 64 65 67 70 71 72 74 75 76 77 80 81 82 85 86 87 90 91 92 93 95 96 97 101 102 103 105 107 108 110 111 +1 3 -1 1 1 1 -3 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 27 28 29 32 36 37 38 40 41 44 45 48 49 51 52 53 56 57 59 60 61 63 64 65 66 67 69 70 71 72 73 74 76 77 78 80 81 84 85 86 88 89 92 93 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +1 0 1 0 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 62 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 89 93 98 101 102 103 104 105 106 107 108 109 110 +1 3 -1 1 -1 3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 26 27 30 31 33 34 38 40 41 42 43 45 48 49 50 51 52 54 55 56 57 58 59 62 64 65 66 67 69 72 73 74 75 76 77 79 80 82 83 86 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 1 1 -1 1 -1 -3 -3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 25 27 28 29 30 31 33 35 38 39 40 41 44 45 46 47 50 51 52 53 56 57 58 59 62 63 64 65 68 69 72 73 74 75 78 79 80 81 84 85 86 87 88 90 91 92 93 96 97 98 99 101 103 104 105 106 107 109 111 +1 0 0 1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 84 88 89 90 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 1 1 0 0 -1 : 1 2 4 5 7 9 10 11 13 14 15 16 19 20 23 24 27 28 29 31 32 33 34 35 36 37 38 39 41 42 45 46 49 50 52 53 54 55 56 59 60 63 64 67 69 70 73 74 77 78 80 81 82 83 84 87 88 91 92 95 96 97 98 99 101 102 105 106 109 110 +1 1 1 1 -3 1 -3 1 1 : 0 1 2 3 6 7 8 10 11 12 13 14 15 17 20 21 22 23 25 27 30 31 32 33 34 35 36 37 38 40 41 44 46 47 50 51 52 53 56 57 59 62 63 65 66 67 68 69 72 73 75 78 79 81 82 83 84 85 87 88 89 90 91 93 94 95 96 97 98 101 103 106 107 108 109 110 111 +1 2 0 1 0 0 0 -1 0 : 0 3 4 7 10 13 16 17 18 19 20 22 23 24 28 31 35 36 38 40 42 44 46 48 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 72 74 76 78 80 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 -1 -3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 80 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 1 -3 -1 -3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 17 18 19 20 21 22 23 24 25 26 27 30 31 33 35 36 37 38 39 41 44 45 46 47 50 53 56 57 58 59 62 64 65 66 67 68 69 70 71 72 73 75 76 77 78 79 81 84 85 87 88 90 91 93 96 97 98 99 100 101 102 103 106 107 109 111 +1 0 1 0 2 0 0 0 1 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 24 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 51 52 53 54 55 56 57 58 59 60 63 65 66 68 71 73 74 76 77 78 79 80 81 82 83 85 86 88 91 92 93 94 95 96 97 98 99 101 105 106 110 +1 1 1 1 1 -1 3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 26 27 30 31 32 34 35 36 37 39 40 41 44 46 47 48 49 51 52 54 55 56 57 59 62 63 64 66 67 68 70 71 72 73 75 78 79 80 82 83 86 87 88 90 91 93 94 95 98 99 102 103 106 107 108 110 111 +1 2 0 1 0 0 0 0 1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 24 29 30 35 36 39 41 42 45 46 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 72 75 76 79 81 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 0 -1 -1 0 1 : 0 1 3 4 5 7 8 9 11 12 14 15 16 17 18 20 21 24 26 27 29 30 32 33 35 36 38 40 42 43 45 47 49 50 51 52 53 54 56 58 60 61 63 65 67 69 71 73 74 75 76 78 80 82 83 84 85 87 89 91 92 93 94 96 98 100 102 103 105 106 108 109 111 +1 1 1 -1 3 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 10 11 12 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 68 70 71 72 73 75 76 77 78 79 80 81 82 84 85 87 89 91 92 93 94 96 98 100 101 102 103 104 106 107 110 +1 1 1 0 0 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 33 34 35 39 40 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 63 64 68 72 73 74 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 96 97 98 100 101 103 104 105 109 110 111 +1 1 1 -1 1 1 0 0 -1 : 1 2 4 5 7 9 10 11 13 14 15 16 17 18 20 21 22 24 27 28 29 31 32 33 34 36 39 40 43 44 47 48 49 50 51 52 53 54 55 56 59 60 63 64 67 68 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 88 91 92 95 96 97 98 99 100 103 104 105 107 108 109 110 +1 1 -3 -1 -1 -1 -1 -3 1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 68 70 71 72 73 75 76 77 79 81 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 104 106 107 +1 2 0 -1 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -3 -1 -1 -3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 18 19 20 21 22 23 24 25 26 27 30 31 32 35 36 37 39 40 41 44 45 48 49 50 53 54 55 58 59 62 63 64 66 67 68 69 70 71 72 73 75 76 77 79 80 81 84 85 86 89 90 91 93 94 95 98 99 100 101 102 103 106 107 108 111 +1 0 1 -1 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 28 29 31 32 33 34 36 37 39 41 43 45 47 49 50 51 52 53 54 55 56 57 59 60 61 63 65 67 69 71 73 74 75 77 78 79 80 81 82 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 108 109 110 111 +1 0 1 0 0 1 0 -1 -1 : 0 1 2 3 4 5 8 10 11 12 13 15 16 18 19 20 21 23 24 25 27 28 29 32 33 34 35 36 37 39 40 41 45 46 47 50 51 53 54 55 58 59 60 61 63 64 65 68 69 72 73 74 78 79 80 82 83 86 87 88 90 91 92 93 96 97 98 102 104 105 106 107 109 +1 1 1 1 1 1 -1 -1 -3 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 27 28 29 30 33 34 35 36 39 40 41 42 44 45 46 49 50 51 52 53 54 57 58 59 61 62 63 64 67 68 69 70 73 74 75 77 78 79 80 83 85 86 87 88 91 92 95 96 97 98 103 104 105 106 109 110 111 +1 1 0 1 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 48 49 50 51 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 80 81 82 83 88 89 90 91 92 93 94 95 96 97 98 99 103 104 105 106 107 108 109 110 111 +1 1 3 -1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 43 45 48 49 51 52 53 54 55 56 57 58 59 62 65 69 72 73 75 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 101 103 106 107 109 110 +1 1 -1 -1 1 -3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 25 26 29 31 32 33 35 36 37 38 39 43 44 45 46 47 48 52 53 54 57 58 59 60 61 62 63 67 68 69 70 73 74 75 76 77 78 79 83 84 88 89 90 91 92 93 94 97 98 99 100 102 103 104 106 109 110 +1 1 1 -1 -1 1 -1 1 3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 27 29 30 31 33 36 38 39 41 42 44 45 47 48 50 51 52 53 55 56 58 59 61 62 64 65 67 69 70 72 73 75 76 78 79 81 82 84 86 87 89 90 92 93 95 96 98 99 100 101 103 105 106 107 109 +1 0 0 1 0 0 1 2 0 : 0 1 2 3 4 7 9 10 13 14 16 18 19 20 21 22 23 24 27 28 31 32 35 36 38 39 40 42 43 44 46 47 48 50 51 52 53 55 56 57 59 60 61 63 64 65 67 68 70 71 72 74 75 76 78 79 80 82 83 84 85 87 88 89 91 92 93 95 96 97 99 100 103 104 107 108 111 +1 1 -1 0 1 -1 0 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 23 24 25 27 30 31 32 33 35 36 37 38 40 41 44 45 46 47 48 49 50 52 54 55 58 59 60 61 62 63 64 66 67 68 69 72 73 75 76 77 78 80 81 86 87 89 90 91 92 94 95 98 99 100 102 103 104 105 108 110 111 +1 0 2 0 -1 -1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 84 85 86 87 88 89 90 91 92 93 94 95 101 102 109 110 +1 1 3 -1 -1 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 26 27 28 29 30 32 33 34 35 37 38 39 40 41 42 45 47 49 50 51 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 74 75 76 78 80 82 83 84 86 88 90 91 92 93 94 96 98 100 101 104 105 107 108 109 +1 1 -1 1 -1 3 1 1 3 : 1 2 3 4 6 7 8 9 10 11 12 15 16 19 20 21 22 23 24 26 27 28 29 30 33 34 37 38 39 41 42 43 44 47 48 51 52 53 54 56 57 58 59 61 62 63 65 66 67 68 71 72 75 76 77 78 80 81 82 85 86 87 89 90 91 92 95 96 99 101 102 105 106 107 108 109 111 +1 1 -1 -1 -1 3 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 26 28 30 32 33 34 35 37 40 41 42 43 46 48 49 50 51 54 56 57 58 59 60 62 63 64 65 67 70 72 73 74 75 76 78 79 80 81 83 84 86 87 88 89 91 92 93 94 95 97 100 101 102 103 105 107 109 +1 0 1 0 0 0 1 0 0 : 0 1 2 3 9 14 17 22 24 25 26 28 29 30 31 32 33 34 35 36 37 40 41 44 45 48 49 52 53 56 57 60 61 64 65 70 71 74 75 78 79 82 83 86 87 90 91 94 95 98 99 103 108 +1 1 1 1 3 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 25 26 28 29 32 34 35 36 37 39 40 41 42 43 44 46 47 50 53 56 57 59 60 61 62 63 64 66 67 69 72 73 75 76 77 78 79 80 82 83 86 89 92 93 94 95 96 97 98 99 101 102 104 105 108 110 111 +1 1 1 1 3 -1 -1 1 3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 16 17 19 20 21 25 26 27 29 30 31 34 35 37 38 40 42 43 45 46 48 50 51 52 53 55 57 58 60 61 63 65 66 68 69 71 73 74 76 77 79 81 82 84 86 87 88 89 91 92 93 94 95 96 97 99 101 102 103 105 106 107 110 111 +1 3 1 1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 18 19 22 26 28 29 32 34 35 38 41 44 46 47 50 52 54 55 58 60 61 62 63 64 66 67 68 70 71 74 76 77 78 79 80 82 83 84 85 86 87 88 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 0 0 1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 24 25 26 28 29 30 31 32 33 34 38 39 42 43 46 47 50 51 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 87 90 91 94 95 98 99 100 101 102 104 105 106 107 108 109 110 +1 1 -1 -1 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 17 19 21 22 25 26 27 29 31 32 34 35 36 38 39 40 41 42 43 44 45 46 48 49 50 51 54 55 56 58 59 60 61 64 65 66 70 71 72 74 75 76 77 80 81 82 85 86 87 90 91 92 93 95 96 97 100 101 103 104 106 108 109 110 +1 1 -1 1 -3 -3 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 30 31 32 33 34 36 37 38 39 40 44 48 49 50 51 52 53 54 55 56 57 58 60 61 62 65 66 67 68 69 70 71 75 79 80 81 82 83 84 85 86 87 88 92 96 97 98 99 101 102 103 104 105 109 110 111 +1 1 1 0 -1 1 -1 0 1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 19 20 22 23 24 25 27 28 30 31 33 35 36 38 40 41 42 44 46 47 48 50 53 55 56 57 59 61 62 63 65 67 68 69 70 72 73 74 75 76 78 80 81 82 84 85 87 88 89 90 91 93 95 96 97 99 100 101 103 104 106 107 109 111 +1 1 1 -1 3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 25 26 28 30 32 34 37 40 41 43 44 45 46 47 48 50 51 52 53 55 56 57 58 59 60 62 63 66 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 98 99 100 101 102 104 106 108 110 +1 1 1 3 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 25 26 29 31 32 35 36 40 41 42 44 45 46 48 49 50 51 52 53 54 55 57 58 59 61 62 63 67 71 72 76 80 81 82 84 85 86 87 88 89 90 91 92 93 94 95 97 98 99 100 101 102 105 107 108 111 +1 1 -3 -1 -1 3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 24 25 26 27 28 29 30 31 32 34 35 36 37 39 40 41 42 43 45 48 49 50 51 53 56 57 58 59 62 64 65 66 67 68 70 71 72 73 75 76 77 78 79 81 84 85 86 87 89 92 93 94 95 98 100 101 102 103 106 107 109 +1 0 0 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 72 73 74 79 80 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 1 1 -1 0 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 26 28 29 30 31 33 34 35 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 60 61 62 63 64 65 66 70 71 73 74 75 76 78 79 82 83 84 86 87 90 91 92 93 94 95 96 98 99 102 103 104 106 108 110 111 +1 0 1 0 0 0 0 2 1 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 28 30 31 32 33 34 35 36 38 39 40 41 42 44 45 46 48 50 51 52 53 54 56 58 59 60 62 63 64 65 66 68 69 71 73 74 75 77 78 79 80 81 83 85 86 87 88 89 91 92 93 95 97 98 99 104 105 106 107 +1 3 1 1 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 18 19 22 23 25 28 29 32 33 35 38 40 42 43 45 50 52 54 55 56 57 58 59 62 64 66 67 68 70 71 72 73 74 75 78 80 82 83 84 85 86 87 88 89 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 16 18 19 22 24 27 30 31 33 34 38 41 45 48 49 51 52 54 55 58 62 65 69 72 73 75 76 77 79 80 81 82 83 86 89 93 96 97 99 100 103 106 107 109 110 +1 0 0 1 1 -1 0 -1 0 : 0 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 26 28 31 33 34 35 37 39 40 41 42 43 44 46 49 51 52 54 57 59 60 61 62 63 64 66 69 71 72 73 74 75 76 78 81 83 84 86 89 91 92 93 94 95 96 98 100 101 102 104 107 109 110 111 +1 0 2 1 0 0 0 0 1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 55 57 58 61 62 64 67 69 70 72 75 76 79 81 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 105 106 111 +1 1 1 1 1 1 -3 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 27 30 31 32 33 34 35 38 39 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 64 65 69 70 71 72 73 74 76 77 78 80 81 84 85 86 88 89 92 93 96 97 99 103 106 107 108 109 110 111 +1 1 1 1 1 -1 -3 -3 -1 : 1 2 3 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 26 27 28 29 31 32 34 35 36 39 40 41 42 43 44 47 48 51 52 55 56 59 60 61 62 63 64 67 68 71 72 75 76 77 78 79 80 83 84 85 86 87 88 91 92 93 94 96 97 98 99 102 103 104 105 107 108 110 111 +1 1 -1 -1 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 26 27 28 29 30 34 35 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 61 62 63 64 65 66 68 69 70 72 75 77 78 79 80 81 82 85 86 87 88 89 90 92 95 97 98 99 100 101 105 106 107 108 109 +1 0 1 -2 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 100 101 110 111 +1 1 -1 1 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 25 29 31 32 33 34 36 37 38 39 40 41 42 47 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 72 77 78 79 80 81 82 83 84 85 86 87 88 89 90 95 97 98 99 101 102 103 104 106 110 111 +1 1 3 -1 -1 -3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 26 27 28 29 30 31 32 34 35 36 38 39 40 41 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 68 69 70 71 72 74 75 76 77 78 79 82 84 85 86 87 90 92 93 94 95 97 100 101 102 104 106 108 109 +1 1 -3 1 1 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 26 27 29 30 31 32 33 34 35 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 60 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 84 85 87 89 91 92 94 95 96 97 99 102 103 104 106 107 110 111 +1 1 -1 -1 1 1 0 -1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 25 26 27 29 30 31 32 35 36 38 40 41 42 43 44 45 46 47 48 49 50 51 53 55 56 58 60 62 64 65 66 67 69 71 72 74 76 78 80 81 82 83 84 85 86 87 89 91 93 95 96 98 100 103 104 105 106 108 109 110 +1 1 1 1 -1 1 -3 1 3 : 0 1 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 25 27 29 30 31 32 33 35 36 38 41 43 44 45 46 47 48 50 53 55 56 57 58 59 60 62 65 67 69 71 72 73 74 75 76 78 81 83 84 85 86 87 88 89 90 93 95 96 97 98 99 101 103 105 106 107 108 109 111 +1 3 -1 -1 1 3 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 35 39 40 41 42 43 45 46 47 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 84 85 86 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 0 2 0 1 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 14 15 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 47 49 51 52 53 54 55 56 57 58 59 61 63 65 67 68 70 72 74 76 77 78 79 80 81 82 83 84 86 88 90 92 93 94 95 96 97 98 99 101 104 107 110 +1 1 0 1 0 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 24 26 27 28 29 30 31 32 33 35 39 40 44 45 46 47 48 49 50 51 52 56 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 92 96 97 98 101 103 104 105 109 110 111 +1 1 1 -3 -1 -1 1 3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 18 19 20 22 23 24 25 26 28 29 31 32 35 37 38 39 41 43 45 47 48 49 51 52 54 55 56 58 60 62 64 65 66 68 69 70 71 73 74 75 77 78 79 81 83 84 85 87 88 90 91 92 94 95 96 98 100 101 102 104 105 107 108 111 +1 0 0 1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 17 18 21 22 27 28 31 32 37 38 41 42 45 46 49 50 53 54 57 58 61 62 65 66 69 70 73 74 77 78 81 82 85 86 89 90 93 94 97 98 103 104 107 108 +1 0 1 -1 0 1 0 0 -1 : 1 2 4 5 7 8 11 12 15 16 17 18 20 21 22 24 25 27 28 29 31 32 33 34 36 39 40 43 45 46 49 50 52 53 54 55 56 59 60 61 62 63 65 66 68 71 72 73 74 75 77 78 80 81 82 83 84 87 88 91 93 94 97 98 100 102 105 106 109 111 +1 1 1 -1 -3 1 3 1 1 : 0 1 2 3 6 7 8 9 10 11 12 13 15 16 17 18 19 22 24 25 27 30 31 32 33 34 38 39 41 42 43 44 45 48 49 51 52 54 55 58 59 60 61 62 64 65 69 70 71 72 73 74 75 76 77 79 80 82 83 86 87 89 90 91 92 93 96 97 99 100 101 103 106 107 108 109 110 +1 1 1 0 0 -1 0 -1 0 : 0 3 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 32 34 35 36 38 41 43 44 46 49 51 52 54 57 59 60 62 65 67 68 69 70 71 72 74 76 77 78 79 80 82 84 85 86 87 88 90 92 93 94 95 96 98 100 101 102 103 104 105 106 108 110 111 +1 0 1 0 0 0 1 0 2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 28 29 30 31 32 33 34 35 37 38 39 40 42 43 44 46 47 49 50 51 52 54 55 57 58 59 61 62 63 64 66 67 68 69 70 72 73 75 76 77 79 80 81 82 84 85 87 88 89 90 92 93 94 96 97 99 103 105 106 108 +1 1 -1 1 1 -1 3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 27 29 31 32 33 37 38 39 40 41 42 46 47 49 50 51 54 55 57 58 59 60 62 63 66 67 68 69 70 72 73 77 78 79 80 81 82 85 86 87 88 89 90 94 95 97 98 99 102 103 104 106 108 110 111 +1 3 -1 1 1 -3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 29 31 32 33 36 37 38 39 43 44 45 46 47 48 52 53 54 55 56 60 61 62 63 64 65 66 68 69 70 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +1 1 1 3 -1 -1 1 -1 -3 : 0 1 2 5 6 7 9 11 12 13 15 16 17 18 19 21 22 23 24 25 26 28 29 30 32 35 36 38 39 41 42 45 46 48 49 51 52 54 55 57 58 61 62 64 65 67 68 69 71 72 74 75 76 78 79 81 82 84 85 86 87 88 90 91 92 94 95 97 98 100 101 102 104 105 106 108 111 +1 0 1 -1 0 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 64 68 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 102 103 104 105 106 107 108 109 111 +1 3 1 1 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 84 85 86 87 88 89 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 1 1 -1 1 -3 3 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 26 28 29 30 31 32 34 35 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 70 71 72 73 76 77 78 79 82 83 84 85 86 87 90 91 92 93 94 96 97 98 99 102 104 105 106 107 108 110 111 +1 1 1 1 3 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 11 12 13 14 16 19 21 22 23 25 26 29 31 32 33 34 35 36 40 41 42 43 44 45 46 47 48 55 56 57 58 59 60 61 62 63 67 71 72 73 74 75 76 77 78 79 83 85 86 87 88 89 90 92 93 94 95 97 98 99 101 102 105 107 108 109 110 111 +1 0 1 0 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 37 42 46 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 73 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 3 1 1 3 -1 : 0 1 3 4 5 7 8 9 11 12 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 34 36 38 40 42 43 45 47 49 50 51 52 54 55 56 57 59 61 62 63 64 65 66 67 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 101 104 105 107 108 109 110 111 +1 3 1 1 -1 -1 -3 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 25 26 27 29 31 32 35 36 37 40 41 42 44 45 46 49 50 51 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 84 85 86 87 88 89 91 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 -1 3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 26 27 28 29 33 34 35 39 40 41 42 43 44 48 49 50 51 52 56 57 58 59 60 61 62 65 66 67 68 72 73 74 75 76 77 78 81 82 83 84 85 86 89 90 91 92 93 94 95 99 100 101 102 106 107 108 109 +1 1 1 1 1 1 1 1 -3 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 29 30 31 32 33 34 35 36 39 41 42 43 45 46 47 48 49 50 53 54 55 56 57 58 60 61 62 64 67 69 70 71 72 73 74 76 77 78 80 83 84 85 86 88 91 92 95 97 98 99 105 106 107 108 109 110 111 +1 0 1 -1 -1 -1 0 1 1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 27 30 31 32 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 64 65 66 67 68 69 70 71 72 73 75 76 77 79 80 81 84 85 87 88 89 92 93 96 97 98 100 101 102 104 105 106 107 109 110 111 +1 1 -1 1 -1 -1 -3 1 3 : 0 1 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 24 27 28 29 30 32 33 34 36 37 38 39 41 43 45 47 48 50 52 53 54 56 57 58 59 60 61 62 63 65 67 69 71 72 74 76 78 80 81 82 83 84 85 86 87 89 91 93 95 96 98 101 102 103 105 106 107 108 111 +1 1 0 -1 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 17 19 20 21 22 24 26 28 31 33 35 36 38 40 41 42 43 44 46 48 49 50 51 53 55 56 58 61 63 64 66 68 70 72 73 74 75 76 78 80 81 82 83 85 87 88 90 93 95 96 98 100 101 103 104 105 106 108 109 110 +1 1 0 0 1 0 -1 1 0 : 0 1 2 4 7 8 9 11 12 13 15 17 18 21 22 25 27 28 31 32 34 37 38 41 42 44 45 47 48 49 51 53 54 57 58 60 61 63 64 65 67 69 70 73 74 76 77 79 80 81 83 85 86 89 90 92 93 95 96 97 99 100 102 103 105 106 107 109 110 111 +1 1 0 0 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 60 62 63 66 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 104 106 108 110 111 +1 1 -1 3 -1 -3 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 18 19 20 21 22 24 26 27 29 31 33 34 35 36 38 39 40 41 43 46 48 49 50 51 52 53 54 55 56 58 59 60 61 62 63 66 70 72 73 74 75 77 80 81 82 83 84 85 86 87 90 92 93 94 95 97 100 101 102 104 106 108 109 111 +1 1 3 3 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 48 49 50 51 54 57 60 62 63 66 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 104 106 108 110 111 +1 0 1 -1 1 0 1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 17 18 19 20 21 23 24 26 28 29 30 31 32 33 34 36 37 40 41 46 47 50 51 52 53 54 55 56 57 58 59 60 61 64 65 70 71 74 75 76 77 78 79 80 81 82 83 84 85 88 89 94 95 98 99 100 101 103 108 110 111 +1 1 -3 -1 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 49 52 53 54 56 57 60 61 64 65 67 68 69 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 103 104 106 108 +1 0 1 -1 1 1 1 0 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 28 30 31 32 33 34 36 37 38 40 42 44 46 48 50 51 52 53 54 55 56 57 58 60 61 62 64 66 68 70 72 74 75 76 78 79 80 81 82 83 84 85 86 88 90 92 94 96 98 99 100 101 102 103 105 106 108 109 110 111 +1 0 1 0 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 18 19 20 21 23 24 25 27 28 30 32 33 34 35 37 38 39 42 43 44 45 47 48 49 52 53 55 56 57 61 62 63 66 67 70 71 72 74 75 76 77 80 81 82 84 85 88 89 90 94 95 96 98 99 102 104 105 106 107 109 +1 1 3 -1 1 1 -3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 25 26 27 28 29 30 31 33 34 35 38 39 40 42 43 44 46 47 48 49 51 53 54 55 58 59 62 63 64 66 67 68 69 72 73 74 76 77 78 80 81 82 83 84 85 87 88 89 92 93 96 97 98 100 103 104 105 108 109 110 +1 1 1 1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 26 27 28 29 31 34 35 36 37 38 40 42 45 46 47 48 49 50 53 54 55 56 57 58 61 63 65 66 67 69 70 71 72 73 74 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 102 103 104 105 107 110 111 +1 1 0 1 -1 -1 1 -1 0 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 24 25 26 27 28 31 32 33 34 35 36 38 39 41 42 45 46 48 49 51 52 53 54 55 56 58 59 60 62 63 65 66 68 70 71 73 74 77 78 80 81 83 84 85 86 87 88 90 91 92 94 95 97 98 101 102 104 105 106 108 111 +1 1 -1 0 1 -1 0 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 18 19 20 21 23 24 25 27 29 31 32 33 35 36 38 39 42 43 44 45 46 47 48 50 51 52 53 54 56 57 60 61 62 63 64 65 66 70 71 73 74 75 76 78 79 82 83 84 85 88 89 91 92 93 94 96 97 100 102 103 104 106 108 110 111 +1 1 1 1 3 1 -3 -1 1 : 0 1 2 3 4 6 8 9 10 11 12 13 15 17 18 20 22 23 25 27 28 30 32 33 34 35 37 38 39 42 43 44 45 47 48 49 54 55 56 58 59 60 61 64 65 66 70 71 72 74 75 76 77 80 81 82 84 86 87 88 89 91 92 93 94 96 97 98 99 101 103 104 106 108 109 110 111 +1 0 1 0 1 0 0 -2 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 24 26 27 28 29 30 31 32 33 34 35 37 39 41 43 44 45 46 47 48 49 50 51 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 101 104 107 110 +1 1 1 3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 35 39 41 42 43 45 46 47 48 49 50 51 52 53 54 55 56 57 58 60 61 62 64 68 75 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 101 102 103 104 105 111 +1 1 1 -1 1 1 0 1 0 : 0 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 24 27 29 30 31 32 33 34 36 38 41 43 45 47 48 49 50 51 52 53 54 55 56 58 60 62 65 67 69 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 89 91 93 95 96 97 98 99 100 103 105 106 107 108 109 110 +1 1 1 -1 1 1 1 3 -3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 24 28 29 30 31 32 33 34 36 37 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 66 67 70 71 72 73 74 75 76 77 78 79 80 81 83 84 85 90 91 94 95 96 97 98 99 100 104 105 106 107 108 109 110 +1 3 1 1 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 25 26 28 30 31 32 35 37 39 40 41 43 44 45 47 48 50 51 53 54 55 57 59 61 63 64 65 67 69 70 71 73 75 77 79 80 81 83 84 85 86 87 89 90 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 -1 3 -3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 23 24 25 26 30 31 32 33 34 39 40 41 42 43 44 45 46 47 51 52 56 57 58 59 60 61 62 63 64 69 70 71 72 73 74 76 77 78 79 81 82 83 87 88 89 90 91 92 93 94 95 99 100 101 102 106 107 108 109 110 +1 1 -1 0 0 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 30 31 33 34 35 36 37 38 39 40 41 42 43 44 46 47 50 52 54 55 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 86 89 92 93 94 95 96 97 98 99 100 101 102 104 105 108 110 111 +1 0 1 -1 0 0 -1 1 0 : 0 1 2 4 7 9 10 13 14 16 18 19 20 22 23 24 25 26 27 29 30 31 33 34 37 38 41 42 45 46 49 50 52 54 55 56 58 59 60 62 63 64 66 67 68 69 71 72 73 75 76 77 79 80 81 83 85 86 89 90 93 94 97 98 100 103 104 107 108 111 +1 1 1 -1 -3 3 -1 1 -1 : 0 2 4 5 6 7 8 9 10 11 12 13 14 16 18 20 22 23 24 25 26 27 29 31 33 34 37 40 41 42 43 44 45 46 47 49 54 56 57 58 59 60 61 62 63 66 68 69 71 72 73 74 75 76 78 79 80 81 83 85 88 89 90 91 92 93 94 95 97 100 101 102 103 105 107 109 110 +1 1 -1 -1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 16 20 21 22 26 30 31 32 34 35 36 37 38 40 41 42 43 44 48 49 50 52 56 57 58 63 64 68 72 73 74 79 80 87 88 93 94 95 99 100 101 103 104 105 109 +1 3 -1 -1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 19 21 25 26 27 29 31 35 36 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 56 58 59 60 62 63 64 65 66 67 70 72 74 75 76 78 79 80 81 82 83 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 18 19 20 21 24 26 27 30 31 32 33 34 35 36 37 38 40 42 43 44 45 50 51 52 54 55 56 57 58 62 63 64 65 68 69 74 75 76 77 79 81 82 83 86 87 88 89 93 94 95 96 97 99 101 104 105 106 107 110 +1 0 1 -1 -1 -1 0 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 27 28 29 32 36 37 38 40 41 44 45 48 49 51 52 53 56 57 59 60 61 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 84 85 86 88 89 92 93 96 97 99 100 101 102 104 105 106 107 109 110 111 +1 1 -1 1 -3 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 34 36 39 41 42 43 44 47 49 50 51 53 54 55 56 57 58 59 61 62 63 64 65 66 68 69 70 72 75 76 77 78 80 83 84 87 89 90 91 92 95 97 98 99 101 105 106 107 108 109 110 111 +1 3 1 1 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 -1 -3 1 -1 -3 : 0 1 2 4 6 7 8 9 11 12 13 15 16 17 19 20 21 23 26 27 29 30 31 33 34 35 36 37 38 39 40 41 43 44 46 47 48 50 51 52 54 55 56 58 59 61 62 65 66 68 70 71 72 74 75 77 78 81 82 85 86 89 90 92 93 95 96 97 99 100 101 102 104 105 106 108 109 +1 0 0 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 47 48 55 56 61 62 63 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -1 -3 3 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 25 26 27 30 31 32 33 35 38 39 40 41 44 46 47 48 49 50 53 54 55 56 57 59 62 63 64 65 69 70 71 72 73 75 78 79 80 81 84 85 86 87 88 90 91 93 94 95 96 97 99 101 102 103 106 107 108 109 111 +1 1 0 0 1 2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 25 26 33 34 36 37 38 39 40 41 42 43 48 49 50 51 52 53 54 55 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 0 0 0 0 1 0 0 0 : 4 5 6 7 8 15 16 23 26 33 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 102 109 +1 1 -1 -1 1 3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 25 26 27 30 31 32 33 35 36 37 38 40 42 43 45 46 47 48 49 50 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 87 89 90 91 92 93 98 99 100 102 103 104 105 108 109 110 +1 1 1 -1 1 0 -1 -1 0 : 1 2 3 4 7 8 9 10 11 12 15 16 19 20 21 22 23 24 26 27 28 29 30 33 34 36 39 40 43 44 45 46 48 49 50 53 54 55 57 58 59 60 63 64 67 68 69 70 72 73 74 76 77 78 79 80 81 82 83 84 87 88 91 92 93 94 96 97 98 100 102 103 104 105 106 109 110 +1 1 1 1 3 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 23 25 26 27 28 29 33 34 35 39 40 41 42 43 44 45 46 47 51 52 56 57 58 59 60 61 62 63 64 68 72 73 74 75 76 77 78 79 80 84 85 86 89 90 91 92 93 94 95 96 97 98 101 102 103 104 105 109 110 111 +1 0 0 1 1 0 -1 0 -1 : 0 2 3 5 6 8 9 10 11 13 15 16 17 18 19 21 23 24 25 27 29 30 32 34 35 36 38 39 41 42 43 44 46 49 51 52 54 57 59 60 61 62 64 65 67 69 70 71 72 74 75 77 79 80 82 85 87 88 90 92 93 95 96 97 98 100 101 103 105 106 108 110 111 +1 3 -1 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 29 31 32 36 40 41 42 44 45 46 48 49 50 51 52 53 54 56 57 58 59 60 61 62 63 64 65 66 67 71 72 76 80 81 82 84 88 89 90 92 93 94 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -1 -3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 30 33 36 37 38 39 43 44 45 46 49 50 51 52 53 54 57 58 59 60 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 97 98 99 100 101 102 103 104 106 109 +1 1 -1 -1 3 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 25 26 28 29 32 34 35 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 63 64 65 66 67 68 70 71 74 76 77 79 80 81 82 83 84 85 86 87 88 90 91 93 96 97 99 100 101 103 106 107 109 110 +1 1 1 -1 0 -1 1 0 -1 : 0 1 3 4 6 7 8 9 11 12 14 15 17 18 20 21 23 24 25 26 28 29 31 32 34 37 38 39 41 43 44 46 47 48 50 53 55 56 57 59 60 62 64 65 66 68 69 70 71 73 74 75 76 77 78 79 80 82 83 85 86 87 89 91 92 94 95 96 98 100 101 102 104 105 107 108 110 +1 1 0 1 0 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 60 64 65 66 71 72 76 77 78 79 80 81 82 83 84 88 89 90 92 93 94 95 96 97 98 99 101 103 104 106 109 110 111 +1 0 0 1 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 19 21 24 25 26 27 28 29 30 31 32 33 34 35 37 42 46 48 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 1 -3 -3 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 26 27 30 31 32 33 34 35 36 37 38 40 42 43 44 45 50 51 52 53 58 59 60 61 63 65 66 67 68 69 74 75 76 77 79 81 82 83 84 85 87 89 90 91 92 93 94 95 96 97 98 102 103 106 107 108 109 110 111 +1 1 -1 -3 -1 -1 -1 1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 18 20 21 22 23 24 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 50 52 54 55 56 57 59 60 61 63 65 66 68 69 71 73 74 77 78 80 82 83 84 85 87 89 90 93 94 96 98 99 100 101 102 103 105 106 107 111 +1 1 1 3 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 35 37 40 41 43 44 45 47 48 49 50 51 52 53 54 55 56 58 59 60 62 63 66 70 73 77 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 98 99 100 101 102 104 106 108 111 +1 3 -1 3 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 26 28 30 32 34 35 37 40 41 43 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 0 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 25 29 31 32 33 34 36 43 44 45 46 47 48 49 50 51 52 53 54 56 60 61 62 63 64 65 66 67 71 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 1 -1 1 1 3 1 1 -3 : 1 2 3 4 5 7 8 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 33 36 39 40 43 45 46 47 49 50 51 53 54 55 57 58 59 60 61 62 64 65 66 67 68 69 70 72 73 74 76 79 80 83 84 87 88 91 93 94 95 97 98 99 102 105 106 107 108 109 110 111 +1 1 -1 1 1 -1 0 -1 0 : 0 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 36 38 41 43 44 45 46 47 48 50 52 53 54 55 56 58 60 61 62 63 64 65 66 67 69 71 72 73 74 75 76 78 81 83 84 86 89 91 92 93 94 95 96 98 102 103 104 105 106 108 110 111 +1 0 1 1 -2 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 100 101 110 111 +1 1 1 1 1 -1 1 -3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 26 28 29 31 32 34 35 37 38 39 41 43 44 45 46 49 50 51 52 53 54 57 58 59 60 62 64 65 66 68 69 70 73 74 75 76 78 80 81 82 84 86 88 89 90 92 94 95 96 98 102 104 105 107 108 110 111 +1 0 0 1 0 1 0 -1 1 : 0 1 2 3 4 6 8 10 11 12 13 15 17 18 20 22 23 24 26 28 29 30 31 33 35 37 38 39 42 43 44 45 47 48 49 54 55 56 58 59 60 61 64 65 66 68 69 71 72 73 77 78 79 82 83 84 85 88 89 90 94 95 96 98 99 100 102 104 105 106 107 109 111 +1 1 1 1 -1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 25 26 27 28 29 32 33 35 38 39 40 41 45 46 47 48 49 51 52 54 55 56 57 58 62 63 64 65 68 70 71 72 73 74 78 79 80 81 84 85 86 87 88 89 90 91 92 94 95 96 97 98 101 102 103 104 105 108 109 111 +1 1 0 -1 -1 -1 1 0 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 27 29 30 32 33 34 35 36 37 38 39 41 42 43 45 46 47 49 51 53 54 55 57 59 61 63 64 65 67 68 69 70 71 72 74 75 76 78 79 80 82 84 86 87 88 90 92 94 96 97 98 100 101 102 104 106 107 108 +1 1 0 -1 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 24 25 26 33 34 35 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 64 65 66 67 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 96 97 98 99 100 103 104 105 106 107 108 109 110 +1 0 0 0 2 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 25 26 27 32 33 34 36 37 38 39 40 41 46 47 48 49 50 51 52 53 54 55 56 57 62 63 64 65 66 67 68 69 70 71 72 73 78 79 80 81 82 83 84 85 86 87 88 89 94 95 96 97 98 99 101 102 103 108 109 110 +1 1 -1 -1 1 -1 -1 -3 -3 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 25 28 29 30 31 32 33 35 36 37 38 39 40 41 44 46 47 48 49 50 51 52 53 58 59 60 61 62 63 64 65 68 69 74 75 76 77 78 79 80 81 86 87 88 89 90 91 92 93 98 99 100 102 103 104 105 106 107 110 +1 0 1 -1 -1 -1 0 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 29 31 32 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 66 67 68 69 70 71 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 104 105 106 107 109 110 111 +1 1 0 0 0 0 -1 0 2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 27 29 30 32 36 38 39 41 42 43 45 46 47 48 50 51 53 54 55 56 58 59 60 62 63 65 66 67 69 70 71 72 74 75 76 78 79 81 82 83 84 86 87 89 90 91 93 94 95 96 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 1 -1 -1 -3 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 24 27 28 30 32 33 34 36 37 40 41 42 44 45 46 49 50 51 52 53 55 56 57 60 61 64 65 66 68 69 70 73 74 75 77 78 79 82 83 84 85 88 89 90 92 93 94 97 98 99 101 102 103 105 107 108 111 +1 1 1 1 3 -3 1 -1 1 : 0 2 4 5 6 7 8 9 10 11 12 13 14 16 18 20 22 23 25 26 28 30 32 33 34 35 37 40 41 42 43 44 45 46 47 49 54 56 57 58 59 60 61 62 63 66 70 72 73 74 75 76 77 78 79 82 84 86 87 88 89 91 92 93 94 95 96 98 99 101 102 104 106 108 109 110 111 +1 1 -1 1 1 -1 3 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 27 28 30 32 33 36 38 39 40 41 43 46 47 48 50 51 54 55 56 58 59 61 62 63 66 67 68 69 71 72 73 76 78 79 80 81 83 84 86 87 88 89 91 94 95 96 98 99 102 103 105 107 108 110 111 +1 0 1 0 -1 0 -2 0 0 : 0 1 2 3 8 9 10 11 12 13 14 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14 15 16 17 18 19 21 22 25 26 27 28 29 31 32 35 37 38 41 42 45 46 48 49 50 51 52 53 54 55 57 58 61 62 65 66 68 69 70 71 73 74 77 78 81 82 84 85 87 88 89 90 91 92 93 94 95 97 98 101 102 103 104 105 107 108 111 +1 0 1 1 1 1 1 1 0 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 87 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 3 3 1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 37 40 41 43 46 49 54 57 60 62 63 66 68 69 70 71 72 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 3 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 26 27 30 31 34 35 38 40 42 43 45 50 52 53 54 55 56 57 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 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104 105 108 109 110 +1 1 0 1 0 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 26 27 28 29 30 31 32 33 35 36 43 44 45 46 47 48 49 50 51 52 53 54 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 96 101 102 103 104 106 110 111 +1 0 1 0 0 -2 0 0 -1 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 29 31 32 33 34 35 37 38 40 41 42 43 44 47 48 49 50 51 52 55 56 57 58 59 61 62 64 65 66 67 68 69 70 71 72 75 76 77 78 79 81 82 84 85 86 87 89 90 92 93 94 95 96 99 102 105 106 109 +1 1 3 1 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 98 99 104 105 107 108 109 110 111 +1 1 1 1 0 1 0 -1 -1 : 0 1 2 3 4 5 8 10 11 12 13 15 17 18 19 22 23 25 27 28 29 32 33 34 35 36 37 39 40 41 45 46 47 50 51 52 53 56 57 58 62 63 64 66 67 68 69 72 73 74 78 79 80 82 83 84 85 86 88 89 90 91 92 94 95 96 97 98 99 101 103 104 105 108 109 110 111 +1 1 1 -1 -1 0 -1 0 1 : 0 1 3 5 6 8 10 11 13 14 15 16 18 19 21 22 23 24 25 26 27 28 30 31 33 36 37 39 40 41 42 45 47 48 50 53 55 56 58 61 62 63 64 66 67 68 69 70 71 72 73 74 75 76 77 79 80 81 82 84 85 87 88 89 90 93 95 96 98 100 101 102 103 104 106 107 109 +1 0 0 1 1 0 -1 0 1 : 0 1 3 5 6 8 9 10 12 13 15 16 17 18 20 21 23 24 25 27 29 30 32 34 35 37 38 39 40 42 43 45 47 48 50 53 55 56 58 60 61 63 64 65 66 68 70 71 73 74 75 76 78 81 83 84 86 89 91 92 93 94 96 97 99 100 101 103 105 106 108 110 111 +1 1 1 0 1 1 1 0 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 19 20 22 23 24 28 29 31 32 33 34 35 36 37 39 41 43 45 47 49 50 51 52 53 54 56 58 60 62 64 66 67 69 71 73 74 75 77 78 79 80 81 82 83 84 86 88 90 91 92 94 95 96 97 98 99 100 104 105 107 108 109 110 111 +1 1 -1 3 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 39 41 42 43 44 51 52 53 54 55 56 57 58 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 79 81 82 83 84 85 86 88 92 93 94 95 96 97 98 100 102 103 104 105 110 111 +1 1 1 -1 0 -1 1 0 1 : 0 2 3 4 5 7 8 9 11 12 14 15 17 18 19 21 23 24 25 26 28 30 31 32 34 36 38 39 40 42 45 46 47 49 51 52 54 56 57 58 61 63 64 65 67 68 69 70 71 72 74 75 76 77 78 79 81 82 83 84 86 87 88 90 93 94 95 97 99 100 101 102 104 106 107 108 110 +1 1 -1 1 1 -1 3 -1 -3 : 0 1 3 5 6 7 8 9 10 11 12 14 16 17 18 19 20 22 24 25 27 29 30 31 32 33 36 38 41 43 44 45 46 47 48 50 52 53 54 55 56 58 61 62 63 64 65 66 67 69 71 72 73 74 75 76 78 81 83 84 86 89 91 92 93 94 95 96 98 102 103 104 105 106 108 110 111 +1 0 1 1 1 -1 1 -1 0 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 26 28 29 30 32 34 35 36 37 39 40 41 42 43 45 46 48 49 51 53 54 56 57 59 60 62 63 65 66 69 70 72 73 75 76 78 79 81 82 84 86 87 89 90 92 93 94 95 96 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 -1 -3 1 1 1 1 3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 35 36 39 41 42 43 45 46 47 48 49 50 51 52 55 57 58 59 61 62 63 64 65 66 68 69 70 72 75 76 79 81 82 83 84 85 86 88 91 92 95 97 98 99 100 105 106 107 108 109 110 111 +1 1 1 -1 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 18 19 22 23 24 25 26 27 30 31 33 34 36 37 38 39 41 45 48 49 50 51 52 53 54 55 58 62 64 65 66 67 68 69 70 71 72 73 75 76 77 79 80 81 82 83 84 85 86 87 89 93 96 97 98 99 100 101 102 103 106 107 109 110 +1 0 0 1 0 -1 0 1 1 : 0 1 2 3 4 5 8 10 11 12 13 15 16 17 20 21 22 24 26 28 29 30 31 33 35 38 39 40 42 43 44 45 48 49 50 53 54 55 58 59 60 61 63 64 65 68 69 72 73 74 78 79 80 82 83 84 85 87 88 89 93 94 95 98 99 100 102 104 105 106 107 109 111 +1 1 1 1 3 1 1 1 3 : 1 2 3 5 6 7 8 9 10 12 13 14 15 19 20 21 22 23 25 29 30 31 32 33 34 35 36 37 38 40 43 44 45 46 48 51 52 55 57 58 59 60 63 65 66 67 68 71 73 74 75 76 79 81 82 83 85 86 87 88 89 90 93 94 95 96 97 98 99 101 105 106 107 108 109 110 111 +1 0 1 0 0 0 1 0 -2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 28 29 30 31 32 33 34 35 36 38 39 41 42 43 45 46 47 48 50 51 53 54 55 56 58 59 60 62 63 65 66 67 68 69 71 72 73 74 76 77 78 80 81 83 84 85 86 88 89 91 92 93 95 96 97 98 103 105 106 108 +1 1 -1 1 1 -1 -1 1 3 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 24 25 28 29 30 32 33 36 38 39 40 41 43 45 46 48 50 51 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 78 79 80 81 83 84 86 87 88 89 91 93 94 96 98 99 102 103 105 106 107 110 111 +1 3 1 3 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 25 28 30 32 33 35 37 42 44 45 47 49 52 53 54 55 56 57 58 59 60 62 63 64 65 66 67 70 72 74 75 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 1 -1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 68 69 70 71 76 77 78 79 80 81 82 83 88 89 90 91 92 93 94 95 100 102 103 104 105 106 107 108 110 +1 0 0 0 2 -1 0 -1 0 : 0 3 5 6 7 8 9 10 11 12 13 14 15 16 18 21 23 25 26 28 31 33 34 37 39 40 41 42 43 44 45 46 47 48 50 53 55 56 57 58 59 60 61 62 63 64 66 69 71 72 73 74 75 76 77 78 79 80 82 85 87 88 89 90 91 92 93 94 95 96 98 101 102 104 107 109 110 +1 1 -1 1 0 0 0 1 0 : 0 3 4 7 10 13 16 17 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 37 39 41 43 45 47 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 72 74 76 78 80 82 85 87 89 91 93 95 97 99 101 102 103 105 106 107 108 109 110 111 +1 1 0 0 1 0 0 0 2 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 25 29 30 34 36 37 38 39 40 41 42 43 45 46 48 51 52 53 54 55 56 57 58 59 60 63 65 66 68 69 70 71 72 73 74 75 76 79 81 82 84 85 86 87 88 89 90 91 93 94 96 99 100 102 103 104 105 106 107 108 109 110 111 +1 3 1 -1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 17 20 21 23 24 25 26 28 29 32 36 37 38 39 40 42 43 44 46 47 50 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 82 83 84 85 86 87 88 90 91 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 3 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 26 27 28 29 34 35 39 41 42 43 44 51 52 53 54 55 56 57 58 60 61 62 63 64 65 66 67 68 75 76 77 78 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 0 1 0 2 0 : 0 3 4 5 6 7 8 10 13 15 17 18 19 20 21 22 23 24 26 28 31 33 35 36 38 40 41 42 43 44 46 48 49 50 51 52 53 54 55 57 59 60 61 62 63 65 67 68 70 72 73 74 75 76 78 80 81 82 83 84 85 86 87 89 91 92 93 94 95 97 99 100 102 104 107 109 111 +1 1 0 0 1 0 -1 -1 0 : 1 2 3 4 7 8 9 10 11 12 15 17 18 21 22 25 27 28 31 32 34 36 39 40 43 44 45 46 48 49 50 52 55 56 59 60 61 62 64 65 66 68 71 72 75 76 77 78 80 81 82 84 87 88 91 92 93 94 96 97 98 100 102 103 104 105 106 109 110 111 +1 1 -1 -1 3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 25 26 30 31 32 34 35 39 40 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 64 65 66 67 69 70 71 75 76 77 78 80 81 82 83 84 85 86 87 89 90 91 92 96 97 98 100 101 103 104 105 109 110 +1 0 0 0 1 -2 0 0 -1 : 1 2 4 5 6 7 8 9 10 11 13 14 15 16 19 20 23 25 26 29 30 33 34 37 38 40 41 42 43 44 45 46 47 48 51 52 55 56 57 58 59 60 61 62 63 65 66 68 71 72 73 74 75 76 77 78 79 81 82 85 86 88 89 90 91 92 93 94 95 96 99 101 102 105 106 109 110 +1 0 1 0 -1 0 -1 -1 0 : 1 2 3 4 7 8 11 12 13 14 15 17 18 21 22 24 25 26 27 28 29 30 33 35 36 39 40 43 45 46 47 49 50 51 52 55 56 59 61 62 63 65 66 67 68 69 70 72 73 74 76 79 80 83 84 85 86 88 89 90 92 95 96 99 101 103 104 107 108 110 +1 1 3 1 -1 1 1 -1 3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 25 26 27 28 30 31 32 33 34 35 37 38 40 42 43 44 45 47 49 50 52 54 55 56 57 59 61 62 64 66 67 69 70 72 74 75 76 77 79 81 82 84 86 87 88 89 90 91 93 94 96 98 99 101 104 105 106 108 109 111 +1 0 1 1 1 -1 0 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 26 27 29 31 32 34 35 36 38 39 40 41 42 43 46 47 48 50 51 54 55 56 58 59 61 62 63 66 67 70 71 72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 95 97 98 99 100 101 102 104 105 106 107 109 110 111 +1 1 1 1 1 0 1 1 0 : 1 2 3 4 7 8 11 12 13 14 15 16 19 20 21 22 23 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 47 48 51 52 55 56 59 61 62 63 65 66 67 68 71 72 75 77 78 79 81 82 83 85 86 87 89 90 91 92 93 94 95 96 97 98 99 102 105 106 107 108 109 110 111 +1 1 -1 1 -1 3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 11 13 14 15 16 17 18 20 22 23 24 26 27 29 31 32 33 34 36 38 39 40 41 42 46 47 48 49 52 53 55 56 57 58 59 60 62 63 64 65 66 70 71 72 73 77 78 79 80 81 83 84 86 87 88 89 90 94 95 96 97 101 102 103 104 106 108 109 111 +1 1 3 -1 1 1 1 3 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 25 26 27 29 30 31 32 33 34 35 36 38 40 42 43 44 46 47 48 49 51 52 53 54 56 58 60 62 64 66 67 69 71 73 74 75 77 78 79 80 81 82 83 84 85 87 89 91 93 95 97 98 99 100 104 105 107 108 109 110 +1 1 1 3 -1 -1 -1 -1 3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 35 36 37 38 40 43 44 47 49 50 51 52 53 54 56 59 60 63 65 66 67 69 70 71 72 73 74 76 77 78 80 83 84 85 86 87 88 89 90 92 93 94 96 99 100 101 102 103 104 105 106 111 +1 0 1 0 1 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 22 23 24 26 27 28 29 30 31 34 35 38 39 40 41 42 43 44 45 50 51 54 55 56 57 58 59 60 61 66 67 68 69 74 75 76 77 78 79 80 81 84 85 90 91 92 93 94 95 96 97 101 102 103 108 109 110 +1 1 1 1 -1 -3 1 -3 -1 : 0 1 3 5 6 7 8 9 10 12 13 15 16 18 19 21 22 23 25 26 28 29 31 32 33 35 36 38 41 43 44 45 46 48 49 51 52 54 55 57 58 59 60 62 65 67 68 70 71 73 74 75 76 78 81 83 84 85 86 87 88 89 90 92 94 95 97 98 99 101 102 104 105 107 108 109 111 +1 1 1 -1 0 0 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 16 20 21 22 23 24 25 26 27 28 29 33 34 36 37 38 39 40 44 48 49 50 51 52 53 54 55 59 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 82 83 84 85 86 87 88 92 96 97 98 99 100 101 102 103 104 105 109 110 +1 1 -3 1 -1 -1 -1 -1 -3 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 24 25 26 27 28 30 31 32 33 34 35 36 37 38 40 43 44 47 49 50 51 52 53 54 55 56 57 58 60 61 62 64 67 68 69 70 72 75 76 79 81 82 83 85 86 87 88 89 90 92 93 94 96 99 101 102 103 104 105 106 111 +1 0 1 1 1 0 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 26 27 28 29 33 34 35 36 37 38 39 41 42 43 44 45 46 47 51 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 88 92 93 94 95 96 97 98 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -1 -3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 25 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 63 65 66 67 68 69 70 71 72 73 74 79 81 82 83 84 85 86 88 93 94 95 96 97 98 99 100 101 102 103 104 105 110 +1 0 1 -1 -1 1 1 1 0 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 60 61 62 63 64 65 66 69 70 71 72 73 74 75 76 79 81 82 83 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 107 108 109 110 111 +1 1 -1 -1 -1 -3 1 1 3 : 1 2 3 4 5 7 8 9 10 11 12 15 16 17 18 19 20 23 26 27 28 29 30 33 34 35 36 37 38 39 40 41 42 45 46 47 49 50 51 53 54 55 57 58 59 60 63 64 67 69 70 71 73 74 75 76 79 80 83 84 87 88 91 92 93 94 96 97 98 100 101 102 105 106 107 108 109 +1 1 3 -1 3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 40 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 63 64 69 70 71 75 76 77 78 79 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 101 102 106 107 108 110 +1 1 -1 1 1 1 -1 -3 1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 28 29 31 32 36 37 39 40 42 43 44 46 47 48 50 52 54 55 56 58 60 62 64 65 66 69 71 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 96 98 103 104 106 107 109 110 111 +1 0 2 0 -1 0 -1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 17 22 24 25 26 27 28 29 30 31 32 33 34 35 38 39 42 43 44 45 46 47 48 49 50 51 54 55 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 81 84 85 86 87 88 89 90 91 92 93 96 97 101 103 108 110 +1 3 1 1 1 -1 -1 -3 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 26 27 28 29 31 34 35 36 38 39 40 41 43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 68 70 72 74 75 76 77 78 80 82 84 85 86 88 90 92 93 94 95 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 -1 3 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 25 27 29 31 33 35 37 40 41 43 46 49 52 53 54 55 56 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73 74 75 77 80 81 83 84 86 87 90 92 93 94 95 96 98 99 100 102 104 106 108 110 111 +1 1 -1 -1 3 3 -1 -1 1 : 1 3 4 5 6 7 9 10 11 12 13 14 15 16 19 21 22 23 25 26 29 31 32 33 34 35 37 38 39 40 41 42 44 45 46 48 49 50 51 52 53 54 55 56 60 64 65 66 67 68 69 70 71 72 76 80 81 82 83 84 85 86 87 91 95 96 97 98 99 100 101 102 103 104 106 109 110 +1 1 1 -1 1 0 1 1 0 : 1 2 3 4 7 8 11 12 13 14 15 16 17 18 19 20 23 24 26 29 30 31 32 33 34 36 39 40 43 45 46 47 49 50 51 52 53 54 56 57 58 60 63 64 67 69 70 71 73 74 75 76 77 78 79 80 81 82 83 84 87 88 91 93 94 95 97 98 99 100 102 105 106 107 108 109 110 +1 1 3 1 -1 1 -1 -1 -3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 25 26 27 28 29 31 32 33 34 35 36 39 40 41 42 45 46 47 48 51 52 53 54 57 58 59 60 63 64 65 66 68 71 72 73 74 77 78 79 80 83 84 85 86 88 89 90 91 92 95 96 97 98 101 103 104 105 106 109 111 +1 0 1 0 0 -1 0 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 15 16 18 19 20 21 23 24 25 26 27 28 30 32 34 35 36 37 40 41 43 46 47 49 50 51 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66 67 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 0 -1 1 1 -1 -1 0 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 25 26 27 28 31 32 33 34 35 36 39 40 41 42 44 45 46 48 49 50 51 53 54 55 56 59 60 63 64 65 66 68 71 72 73 74 76 77 78 80 81 82 83 85 86 87 88 91 92 95 96 97 98 100 103 104 105 106 109 110 +1 3 -1 -1 -1 -3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 26 27 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 50 52 53 54 55 58 60 61 62 63 65 68 69 70 71 74 76 77 78 79 81 84 85 86 87 89 92 94 95 96 97 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 -1 -3 1 1 -1 3 : 0 1 2 4 5 6 8 9 10 11 13 14 15 16 17 19 20 21 25 26 27 29 30 31 34 35 36 38 39 40 41 42 43 44 46 47 48 49 51 53 54 56 58 59 61 62 64 66 67 69 70 72 74 75 77 78 80 82 83 84 85 87 89 90 92 93 95 97 98 100 101 104 105 106 108 109 110 +1 1 1 1 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 25 27 28 29 30 33 35 36 37 38 41 42 43 44 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45 46 49 50 52 53 55 56 57 59 60 61 63 64 65 67 69 70 73 74 77 78 81 82 84 85 87 88 89 91 92 93 95 96 97 99 101 102 103 105 106 107 109 110 111 +1 1 -1 -1 1 3 1 3 1 : 0 2 3 5 6 7 8 10 12 13 14 15 16 17 18 19 21 23 25 26 27 28 29 31 33 35 36 38 39 41 42 43 44 45 47 48 49 50 51 52 54 57 59 60 62 63 65 66 67 68 70 73 75 76 78 79 81 82 83 84 85 86 88 89 91 92 94 97 99 100 102 104 106 107 108 109 110 +1 1 0 -1 0 0 0 -1 1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 19 21 22 23 24 28 29 30 31 35 36 38 39 40 41 42 44 45 46 48 50 51 54 55 56 57 60 61 66 67 68 69 70 72 74 75 76 78 79 80 81 82 84 85 90 91 94 95 96 97 100 101 102 103 104 106 108 109 110 +1 1 1 -1 -1 -1 -1 -3 -3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 36 37 38 39 40 41 44 45 50 51 52 53 58 59 62 63 64 65 66 67 68 70 71 72 73 74 75 76 77 78 79 80 81 84 85 86 87 88 89 92 93 98 99 100 101 102 103 104 105 106 107 +1 1 0 -1 1 1 0 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 24 25 26 28 29 30 31 33 34 35 36 37 40 41 43 44 45 47 48 49 50 51 52 53 54 56 57 60 61 64 65 67 70 71 73 74 75 77 78 79 80 81 82 83 84 86 87 90 91 94 95 97 98 99 100 103 105 107 108 109 110 +1 1 -3 1 -1 -1 1 -3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 25 26 27 29 30 31 32 33 34 35 36 38 39 40 42 44 46 48 49 50 52 53 54 55 56 58 59 60 62 63 64 66 69 70 71 73 75 77 79 80 81 83 84 85 86 89 90 91 93 94 95 97 99 101 102 104 106 107 108 111 +1 1 1 1 -3 1 1 -1 3 : 0 1 2 4 5 6 8 9 10 11 13 14 15 18 19 20 22 23 25 28 29 30 32 33 34 35 36 37 39 41 42 44 45 47 49 50 53 54 56 58 59 61 62 64 66 67 69 70 72 74 75 77 78 80 82 83 84 86 87 88 89 90 91 92 94 95 96 97 99 101 104 105 106 108 109 110 111 +1 0 1 0 -1 0 0 0 0 : 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 35 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 101 110 +1 1 1 -1 -1 0 -1 0 -1 : 0 2 3 5 6 8 10 12 13 14 15 16 18 20 21 22 23 24 25 26 27 28 29 31 33 36 37 38 40 41 43 44 46 49 51 52 54 57 59 60 62 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 80 81 83 84 85 86 88 89 91 92 94 97 99 100 101 102 103 104 105 107 109 +1 3 3 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 47 48 55 56 61 62 63 67 68 69 70 71 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 0 1 1 1 0 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 19 20 22 23 24 28 30 31 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 53 55 57 59 61 63 65 66 67 68 70 72 74 75 76 78 79 80 81 82 83 85 87 89 90 91 93 94 95 96 97 98 99 100 104 106 107 108 109 110 111 +1 1 1 -1 3 1 -1 1 3 : 0 1 2 5 6 7 8 9 10 12 13 14 15 16 18 19 20 22 24 25 27 29 30 31 33 34 37 38 40 41 43 45 46 48 49 51 52 54 55 57 58 60 62 63 65 66 68 69 71 72 74 75 76 77 79 80 81 82 83 85 86 88 89 91 93 94 96 97 99 100 101 103 105 106 107 109 110 +1 1 -1 3 3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 33 34 35 36 37 38 40 41 42 43 45 46 47 51 53 54 55 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 79 80 87 88 92 93 94 95 96 97 98 99 100 101 102 106 107 108 110 111 +1 0 1 0 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 24 25 26 27 30 31 33 34 35 38 40 41 42 43 44 45 46 47 50 52 53 54 55 58 62 64 65 66 67 69 72 73 74 75 76 77 78 79 81 84 85 86 87 89 93 96 97 98 99 103 104 105 106 107 108 +1 1 1 1 -1 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 17 18 19 20 21 23 25 27 28 29 30 31 33 35 38 39 40 41 44 45 46 47 50 51 52 53 56 57 58 59 62 63 64 65 68 69 72 73 74 75 78 79 80 81 84 85 86 87 88 89 90 91 92 93 96 97 98 99 101 103 104 105 106 107 109 111 +1 1 1 -1 0 0 -1 1 -1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 18 20 22 23 24 25 26 27 29 31 33 34 37 40 41 42 43 44 45 46 47 49 54 56 57 58 59 60 61 62 63 66 68 69 71 72 73 74 75 76 77 78 79 80 81 83 85 88 89 90 91 92 93 94 95 97 100 101 102 103 105 107 109 110 +1 0 2 0 0 1 0 0 1 : 1 2 4 6 7 8 11 12 15 16 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 43 44 45 46 47 49 50 52 53 54 55 57 58 60 61 62 63 64 67 69 70 72 73 74 75 76 79 80 81 82 83 84 87 88 89 90 91 93 94 96 97 98 99 102 105 106 109 +1 0 0 1 0 -1 0 1 -1 : 0 1 2 3 4 6 8 10 11 12 13 15 16 17 19 21 22 24 26 28 29 30 31 33 35 36 37 40 41 42 46 47 48 50 51 52 53 55 56 57 61 62 63 66 67 70 71 72 74 75 76 77 80 81 82 85 86 87 90 91 92 93 95 96 97 100 102 104 105 106 107 109 111 +1 1 0 0 0 2 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 26 27 32 33 38 39 40 41 42 43 46 47 48 49 50 51 54 55 56 57 58 59 62 63 64 65 66 67 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 0 0 0 0 -1 : 1 2 5 6 11 12 16 17 18 20 21 22 23 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 55 57 58 61 62 64 67 68 71 73 74 77 78 80 83 84 87 89 90 93 94 96 99 100 101 102 103 104 105 107 108 109 110 +1 3 -1 -3 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 62 64 66 67 68 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 -1 1 1 -3 -1 3 : 0 1 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 25 26 27 29 30 31 32 35 36 38 40 41 42 43 44 45 46 47 48 49 51 53 55 56 58 60 62 64 65 66 67 69 71 72 74 76 78 80 81 82 83 84 85 86 87 89 91 93 95 96 98 100 103 104 105 106 108 109 110 +1 1 1 0 1 0 0 0 -1 : 1 2 5 6 8 9 10 11 13 14 15 19 20 24 26 27 28 29 31 32 33 34 35 36 39 41 42 44 47 49 50 53 54 56 59 61 62 64 67 68 71 73 74 76 77 78 79 80 81 82 83 85 86 88 91 92 93 94 95 96 97 98 99 100 102 103 104 105 107 108 109 110 111 +1 3 -1 1 -1 -1 -1 -3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 24 28 30 31 32 33 34 36 37 38 40 42 44 46 48 50 51 52 53 54 55 56 57 58 60 61 62 64 66 68 70 72 74 75 76 78 79 80 81 83 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 -1 0 1 -1 1 0 : 0 1 2 5 6 7 8 9 10 13 14 15 16 18 19 20 22 24 25 27 29 30 31 33 34 37 38 40 41 43 45 46 48 49 51 52 54 55 57 58 60 62 63 65 66 68 69 71 72 73 74 75 76 77 79 80 81 82 83 85 86 88 89 91 93 94 96 97 99 100 101 103 105 106 107 109 110 +1 0 2 0 0 1 0 1 0 : 0 3 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 44 45 46 47 48 50 52 53 54 55 56 58 60 61 62 63 64 66 69 71 72 73 74 75 77 79 80 81 82 83 85 87 88 89 90 91 93 95 96 97 98 99 102 104 107 109 +1 0 0 1 0 0 0 0 0 : 16 17 18 19 20 21 22 23 24 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 111 +1 1 -1 3 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 20 21 22 23 24 25 29 30 31 32 33 35 36 37 38 40 43 45 46 47 48 49 50 52 53 54 56 59 60 61 62 63 64 65 66 68 71 73 74 75 76 77 78 80 83 84 87 89 90 91 92 93 94 96 99 100 102 103 104 105 106 110 111 +1 1 1 1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 17 20 21 23 25 27 30 31 33 35 38 41 44 46 47 50 53 56 57 59 62 65 69 72 73 75 78 81 84 85 87 88 89 90 91 93 96 97 99 101 103 106 107 109 111 +1 1 1 -1 -1 -3 1 -1 3 : 0 1 2 4 5 7 8 9 11 12 13 15 16 17 19 20 21 23 24 25 26 28 29 30 32 33 36 38 39 40 42 43 45 46 49 50 53 54 57 58 60 61 63 64 65 67 68 69 70 71 72 73 75 76 78 79 80 82 83 84 86 87 88 90 91 93 94 97 98 100 101 102 104 105 106 108 109 +1 3 1 -1 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 61 62 63 64 65 66 69 70 71 72 73 74 75 76 79 81 82 83 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 0 0 0 1 -2 0 0 1 : 1 2 4 5 6 7 8 9 10 12 13 14 15 16 19 20 23 25 26 29 30 33 34 36 39 40 41 42 43 44 45 46 47 49 50 53 54 56 57 58 59 60 61 62 63 64 67 69 70 72 73 74 75 76 77 78 79 80 83 84 87 88 89 90 91 92 93 94 95 97 98 101 102 105 106 109 110 +1 0 1 1 1 -1 0 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 26 27 30 31 32 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 53 56 57 58 60 61 63 64 65 68 69 72 73 74 76 77 79 80 81 84 85 87 88 89 92 93 94 95 96 97 99 100 101 102 104 105 106 107 109 110 111 +1 1 1 0 -1 -1 0 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 18 19 20 21 23 24 25 26 27 28 29 32 35 36 37 38 40 41 44 45 48 49 51 52 54 55 58 59 62 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 84 85 86 87 88 90 91 92 94 95 98 99 100 101 102 103 104 105 108 111 +1 0 1 -1 -1 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 16 17 18 19 20 21 23 24 25 26 28 29 30 31 32 33 38 39 42 43 44 45 48 49 52 53 56 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 79 82 83 86 87 90 91 92 93 96 97 100 101 103 108 110 111 +1 0 1 0 -1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 18 19 20 21 24 25 26 27 28 29 32 33 35 38 39 40 41 45 46 47 48 49 51 52 53 58 59 60 61 63 65 66 67 68 70 71 72 73 74 78 79 80 81 84 85 86 88 90 91 92 93 98 99 101 104 105 106 107 110 +1 1 -1 -3 3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 29 31 32 34 35 36 40 41 42 44 45 46 47 48 49 50 51 52 53 54 55 57 58 59 60 64 65 66 71 72 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 95 96 100 101 103 104 106 109 110 111 +1 1 3 1 -3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 35 37 42 44 45 46 47 48 49 50 51 54 56 58 59 60 61 62 63 64 65 67 68 69 70 71 72 73 74 75 77 82 84 85 86 87 88 89 90 91 94 96 98 99 101 104 106 108 109 110 111 +1 1 -1 -1 -3 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 25 27 29 31 33 34 35 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 58 59 61 64 65 67 68 69 70 71 72 74 75 77 80 81 83 84 86 87 90 92 93 95 96 97 98 99 100 101 102 104 106 108 110 +1 1 1 3 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 29 31 32 34 35 36 37 38 39 40 41 42 43 47 48 55 56 60 61 62 63 64 65 66 67 68 69 70 72 73 74 75 77 78 79 83 85 86 87 91 92 93 94 95 96 97 98 99 100 101 102 105 107 108 110 111 +1 3 -3 -1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 84 88 89 90 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 2 0 1 0 0 0 -1 : 1 2 5 6 8 9 10 11 13 14 15 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 46 48 51 52 53 54 55 56 57 58 59 60 63 65 66 68 71 73 74 76 77 78 79 80 81 82 83 85 86 88 91 92 93 94 95 96 97 98 99 101 105 106 110 +1 3 1 1 1 -1 1 3 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 26 28 29 31 32 34 35 36 37 39 40 42 43 45 47 48 49 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 85 86 87 89 91 92 93 94 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 3 1 1 -1 -1 3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 26 27 29 30 31 32 33 34 35 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 61 62 63 64 65 66 69 71 73 74 75 76 77 79 81 83 84 85 87 89 91 92 93 94 95 96 97 99 102 103 104 106 107 110 111 +1 3 -1 1 -1 -1 3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 24 27 29 31 32 33 34 36 38 39 42 43 46 47 49 50 51 52 53 54 55 56 58 59 60 62 63 66 67 70 71 73 74 75 77 78 79 80 81 82 84 86 87 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 -1 1 -3 -3 : 0 1 2 3 4 5 6 7 9 10 11 12 13 15 17 18 19 20 21 23 27 28 29 30 31 33 34 35 36 37 38 40 41 42 43 44 45 46 47 50 51 52 53 54 55 58 59 62 63 64 65 68 69 70 71 74 75 78 79 80 81 86 87 88 89 92 93 96 97 98 99 100 101 102 104 105 106 107 108 +1 3 -1 -1 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 20 21 26 27 30 31 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 52 54 55 56 57 58 59 62 64 66 67 68 70 71 72 73 74 75 78 80 82 83 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -3 1 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 76 80 81 82 85 86 87 91 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 -1 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109 110 +1 0 1 0 0 0 0 1 2 : 0 1 2 3 4 5 6 7 10 11 12 13 18 19 20 21 24 25 26 27 29 30 31 32 33 34 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 55 57 58 59 61 62 63 64 65 67 68 69 70 72 74 75 76 78 79 80 81 82 84 86 87 88 89 90 92 93 94 96 98 99 104 105 106 107 +1 1 1 -3 -1 3 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 19 20 21 22 24 25 26 27 28 30 33 35 36 40 41 42 43 47 48 49 50 51 52 53 54 55 56 60 61 62 63 67 68 69 70 72 73 74 75 76 80 81 82 83 85 86 87 88 89 90 92 93 94 95 96 100 101 102 103 104 106 109 111 +1 3 1 -1 -1 1 3 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 24 25 27 28 29 32 33 38 39 40 42 43 45 46 47 50 51 53 54 55 58 59 60 61 62 65 66 67 68 70 71 72 73 74 75 78 79 80 82 83 86 87 88 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +1 3 1 -1 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 26 27 28 29 30 34 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 60 63 65 66 67 68 69 70 72 75 76 77 78 79 80 81 82 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 -1 1 0 0 -1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 23 24 25 26 28 29 30 31 32 33 34 36 37 40 41 44 45 48 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 71 74 75 78 79 82 83 84 85 88 89 92 93 96 97 101 102 103 104 105 106 107 109 110 111 +1 0 1 0 0 -1 0 -1 -1 : 0 1 2 3 6 7 8 10 11 12 13 15 16 18 19 20 21 23 24 25 26 27 28 29 32 34 35 38 39 41 42 43 44 45 48 49 51 52 53 56 57 59 62 63 65 66 67 68 70 71 74 75 76 77 78 80 81 84 85 86 88 89 92 94 95 98 99 102 104 105 106 107 109 +1 1 -1 -1 1 -3 -3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 20 21 22 23 25 26 27 30 31 32 33 35 36 37 38 40 42 43 44 45 46 47 48 49 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 87 89 90 91 92 93 98 99 100 102 103 104 105 108 109 110 +1 1 -1 -1 1 -3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 25 26 28 30 32 33 35 36 37 38 39 42 44 45 46 47 49 52 53 55 56 58 59 60 61 62 63 66 68 69 71 72 74 75 76 77 78 79 82 85 88 89 90 91 92 93 95 96 98 99 100 102 103 105 107 109 110 +1 1 1 1 1 3 1 1 3 : 1 2 3 4 6 7 8 11 12 13 14 15 16 19 20 21 22 23 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 47 48 51 52 55 56 59 61 62 63 65 66 67 68 71 72 75 77 78 79 81 82 83 85 86 87 89 90 91 92 93 94 96 97 98 99 102 105 106 107 108 109 110 111 +1 3 1 -1 1 1 -1 3 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 27 28 30 31 33 34 37 38 39 41 43 45 47 48 49 51 52 53 54 57 58 59 61 62 63 65 67 69 71 72 73 75 76 77 79 80 81 82 83 85 86 87 89 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 0 0 2 0 1 0 -1 : 0 1 3 5 6 8 9 10 11 12 13 14 15 17 19 20 22 25 27 29 30 32 34 36 37 39 40 41 42 44 46 47 49 50 51 52 53 54 56 57 59 61 62 63 64 66 67 68 69 70 72 73 75 77 78 79 80 82 83 84 85 87 88 89 90 92 94 95 97 98 99 101 103 105 106 108 110 +1 1 -1 1 1 3 -3 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 32 33 38 39 40 41 45 46 47 48 49 51 53 54 55 56 57 59 60 61 62 64 65 66 67 68 70 71 72 73 74 78 79 80 81 86 87 88 89 93 94 95 96 97 99 102 103 106 107 108 109 110 111 +1 0 0 1 1 -1 1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 18 19 20 21 22 24 25 26 27 32 33 34 35 36 37 40 41 42 43 46 47 48 49 54 55 56 57 60 61 62 63 66 67 68 69 72 73 74 75 78 79 80 81 86 87 88 89 92 93 94 95 98 99 100 101 102 103 108 109 110 111 +1 1 -1 1 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 17 20 21 23 24 25 26 28 29 32 33 34 36 37 38 39 41 45 48 49 50 51 52 53 54 55 56 57 59 60 61 63 64 65 66 67 68 69 70 71 74 78 80 81 82 83 84 85 86 87 89 93 96 97 98 99 101 102 103 106 107 109 110 111 +1 3 -1 1 1 -1 -3 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 27 29 31 32 33 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 60 61 62 63 64 65 66 68 69 71 72 74 75 76 77 80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 -1 -1 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 25 26 27 30 31 34 35 36 37 38 39 40 41 42 43 45 50 52 54 55 56 57 58 59 60 61 63 65 68 70 71 72 73 74 75 76 77 79 81 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41 42 43 44 45 47 48 49 50 51 52 54 56 57 58 61 63 64 65 67 68 70 72 73 74 77 79 80 81 83 84 86 87 88 90 93 94 95 97 99 100 101 103 104 105 107 109 110 +1 0 1 0 0 0 -1 1 -1 : 0 2 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 24 25 26 27 29 31 33 34 35 36 37 38 39 42 46 48 49 50 51 54 56 57 58 59 60 61 62 63 66 68 69 70 71 73 77 80 81 82 83 85 88 89 90 91 92 93 94 95 97 103 104 105 106 107 108 +1 1 1 1 1 3 3 -1 -1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 26 27 28 29 32 33 34 35 36 37 39 41 42 43 44 45 50 51 52 53 58 59 60 61 62 64 66 67 68 69 74 75 76 77 78 80 82 83 84 85 86 88 90 91 93 94 95 96 97 98 99 102 103 104 105 108 109 110 111 +1 1 -3 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 43 44 45 46 47 49 50 51 52 53 54 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 73 74 75 76 80 81 82 84 88 89 90 95 96 102 105 107 108 110 111 +1 1 0 -1 0 -1 0 -1 0 : 0 3 5 6 7 8 10 13 15 17 19 20 21 22 23 24 26 28 31 33 35 36 37 38 39 40 42 44 45 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74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 101 103 104 105 108 109 111 +1 1 -3 1 1 1 -3 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 64 65 66 67 69 70 71 74 75 78 79 80 82 83 86 87 88 90 91 92 94 95 96 97 99 103 104 105 108 109 110 111 +1 3 -1 1 -3 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 25 26 27 30 31 34 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 62 64 66 67 68 70 71 72 73 74 75 76 77 79 81 84 85 86 87 88 89 90 91 93 98 100 101 102 103 104 105 106 107 108 109 111 +1 0 1 0 -1 0 0 0 -2 : 1 2 5 6 8 9 10 11 12 13 14 15 19 20 24 25 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 45 46 48 51 52 53 54 55 56 57 58 59 60 63 65 66 68 71 73 74 76 77 78 79 80 81 82 83 85 86 88 91 92 93 94 95 96 97 98 99 101 105 106 110 +1 3 1 1 -1 -1 -1 1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 25 26 27 29 30 31 35 37 38 40 42 43 44 46 47 48 49 51 52 53 55 57 58 61 62 64 66 67 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37 38 40 43 44 45 46 47 48 49 50 51 52 55 57 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 79 81 82 84 85 86 87 88 89 90 91 93 94 96 99 101 105 106 110 +1 0 0 1 0 2 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 18 19 20 21 22 23 24 26 27 32 33 35 36 37 38 39 42 43 44 45 46 47 50 51 52 53 56 57 58 59 60 61 64 65 66 67 68 69 70 71 74 75 76 77 78 79 82 83 84 85 88 89 90 91 92 93 96 97 98 99 100 102 103 108 109 111 +1 0 0 1 2 0 0 1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 28 31 34 35 36 37 38 39 40 41 42 43 45 47 49 51 52 54 56 58 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 79 81 83 84 86 88 90 92 93 94 95 96 97 98 99 100 101 104 107 110 111 +1 0 1 0 0 0 -1 0 2 : 0 1 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 27 28 29 30 31 33 34 35 36 37 38 40 41 43 44 45 47 48 49 50 52 53 55 56 57 58 60 61 62 64 65 67 69 70 71 72 74 75 76 78 79 81 82 83 84 86 87 89 90 91 93 94 95 96 98 99 103 105 106 108 +1 1 1 0 0 0 1 1 0 : 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 29 30 31 32 33 34 35 36 39 40 43 44 47 48 51 52 55 56 59 60 63 64 67 69 70 71 73 74 75 77 78 79 81 82 83 85 86 87 89 90 91 93 94 95 97 98 99 100 101 102 105 106 107 108 109 110 111 +1 0 1 0 1 1 0 0 1 : 1 2 4 6 7 9 10 12 13 14 15 16 19 20 23 24 27 28 30 31 32 33 34 35 36 37 38 39 40 43 44 47 48 51 52 53 54 55 57 58 61 62 65 66 68 71 72 75 76 79 80 81 82 83 85 86 89 90 93 94 96 97 98 99 101 102 105 106 109 110 +1 1 3 1 -3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 43 44 45 46 47 48 49 50 51 55 57 58 59 60 61 62 63 64 65 66 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 95 97 98 99 101 105 107 108 109 110 111 +1 0 0 0 2 0 1 0 1 : 0 2 3 5 6 8 9 10 11 12 13 14 15 17 19 20 22 25 27 29 30 32 34 36 37 38 40 41 43 45 46 47 48 50 51 52 53 55 56 57 58 60 62 63 65 66 67 68 69 71 72 73 74 76 78 79 81 82 83 84 85 86 88 89 91 93 94 95 96 98 99 101 103 105 106 108 110 +1 1 -1 0 0 1 0 -1 0 : 0 3 4 5 6 8 10 13 15 16 18 21 23 24 25 26 27 29 30 31 32 34 35 36 38 40 41 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32 34 36 37 38 40 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 63 64 68 72 73 74 76 77 78 79 81 82 83 84 85 86 88 89 90 91 93 94 95 99 101 103 104 105 109 110 111 +1 1 1 -1 1 1 -3 -1 -3 : 0 2 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 24 27 28 29 30 32 33 34 37 39 40 42 44 46 48 49 50 51 52 53 54 55 57 59 61 63 64 66 68 70 72 73 74 75 76 77 78 79 80 81 83 85 87 88 90 92 94 96 97 98 99 100 103 104 105 106 108 109 110 +1 0 0 0 1 -1 -1 -1 0 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 21 22 23 25 26 27 28 31 32 33 34 36 39 41 42 43 44 45 46 48 51 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 84 87 89 90 91 92 93 94 96 99 101 102 103 104 107 108 109 110 +1 0 0 1 0 -1 -1 0 -1 : 0 2 3 4 6 7 8 9 11 12 14 15 16 17 18 19 21 24 26 27 29 30 32 33 35 37 39 41 42 43 44 46 48 50 51 52 53 55 57 59 60 61 62 64 66 68 70 72 74 75 77 79 81 82 83 84 85 86 88 90 92 93 95 97 99 100 102 103 105 106 108 109 111 +1 0 1 1 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 52 53 54 55 64 65 66 67 68 69 70 71 80 81 82 83 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 109 110 111 +1 1 1 0 0 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 30 33 34 35 36 37 38 39 40 41 42 43 47 48 55 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 80 81 82 84 88 89 90 92 93 94 95 96 97 98 99 100 101 103 104 106 109 110 111 +1 1 1 -1 -3 -3 1 -1 1 : 0 2 4 5 6 7 9 10 11 12 13 14 15 16 17 19 21 23 24 25 26 28 30 32 33 34 36 37 38 39 42 46 48 49 50 51 52 53 54 55 57 61 64 65 66 67 68 69 70 71 72 74 75 76 78 79 80 81 83 84 85 86 87 90 94 96 97 98 99 100 101 102 104 106 108 109 110 +1 1 1 -3 -1 -3 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 17 18 19 20 21 22 23 24 25 26 29 31 32 33 35 36 37 38 39 43 44 45 46 47 48 55 56 57 58 59 60 64 65 66 67 68 69 70 71 73 74 75 76 77 78 79 83 85 86 87 88 89 90 95 96 97 98 99 100 101 102 105 107 108 109 111 +1 0 1 0 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 101 102 103 104 105 106 107 108 109 110 +1 1 1 -3 1 3 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 18 19 20 21 22 24 26 28 30 32 33 34 35 37 40 41 42 43 46 48 49 50 51 52 53 54 55 57 60 61 62 63 66 70 72 73 74 75 76 78 79 80 81 82 83 84 85 86 87 90 92 93 95 96 98 99 100 102 104 106 108 109 110 111 +1 3 -1 1 -1 -1 1 -3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 27 28 29 31 33 34 36 38 39 40 42 44 46 48 49 50 52 53 54 55 56 58 59 60 62 63 64 66 68 70 72 73 74 76 77 78 81 82 83 84 86 87 88 90 92 94 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 -1 -1 -3 1 1 -3 1 : 0 2 3 4 6 7 8 9 11 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 34 35 36 38 39 40 41 42 43 45 46 47 48 49 50 52 54 56 58 59 61 63 65 66 67 68 70 72 74 75 77 79 81 82 83 84 85 86 88 90 92 93 95 97 99 100 101 104 106 107 108 109 110 +1 0 0 0 1 0 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 17 18 19 20 21 22 25 27 28 29 30 31 32 34 36 40 41 42 43 47 48 49 50 51 52 53 54 55 56 60 61 62 63 67 68 69 70 71 72 76 77 78 79 83 84 88 89 90 91 95 96 97 98 99 101 103 104 105 106 107 108 110 +1 1 1 -1 3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 24 25 27 28 30 33 34 37 38 39 43 44 45 46 48 49 50 51 52 53 54 55 57 58 59 60 64 65 66 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 96 97 98 99 100 101 103 104 106 109 110 +1 1 1 -3 1 -3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 17 18 19 20 21 22 23 24 26 28 29 32 33 34 35 36 37 38 39 41 44 45 46 47 50 53 56 57 58 59 62 64 65 66 67 68 69 70 71 74 76 77 78 79 80 82 83 86 88 89 90 91 92 94 95 96 97 99 100 102 104 105 108 109 110 111 +1 3 -3 -1 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 62 63 64 65 66 67 71 73 74 75 76 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 3 -1 1 3 : 0 1 2 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0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 32 34 35 36 37 38 39 40 41 42 43 46 47 50 51 52 53 56 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 79 82 83 84 85 88 89 92 93 94 95 96 97 98 99 100 101 103 108 110 111 +1 1 1 1 0 0 -1 1 1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 17 20 21 23 25 26 27 30 31 33 34 35 38 40 41 42 43 44 45 46 47 50 53 56 57 58 59 60 61 62 63 65 69 72 73 74 75 76 77 78 79 81 84 85 87 88 89 90 91 92 93 94 95 96 97 99 101 102 103 106 107 109 110 111 +1 1 -1 1 -1 1 3 1 3 : 0 2 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 24 26 27 28 29 30 32 34 37 39 40 41 42 43 44 46 49 51 52 53 54 55 56 58 59 61 63 64 65 66 67 68 70 73 75 76 77 78 79 80 82 85 87 88 89 90 91 92 94 97 99 101 103 105 106 107 108 109 111 +1 1 -1 -1 3 1 -1 -3 1 : 0 1 3 4 6 7 8 9 10 11 12 14 15 16 18 19 21 22 25 26 28 29 31 32 34 35 36 37 39 40 42 43 44 45 46 48 49 50 51 53 55 56 57 59 60 62 64 65 66 69 71 72 73 75 76 78 80 81 82 85 86 87 89 91 92 94 95 96 98 100 101 103 104 106 107 109 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97 98 102 103 104 105 108 110 111 +1 3 1 -1 -3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 29 31 32 34 36 37 38 39 40 41 42 43 47 48 52 53 54 55 57 58 59 60 64 65 66 68 69 70 71 72 73 74 75 77 78 79 83 84 85 86 87 88 89 90 91 95 96 100 101 102 103 104 105 106 107 108 109 111 +1 1 2 0 0 0 0 1 0 : 0 3 4 7 10 13 18 21 24 25 26 27 28 29 30 31 32 33 34 35 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 3 1 1 -3 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 25 26 27 28 30 34 35 36 37 38 39 40 41 42 47 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 111 +1 1 3 1 1 1 -3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 27 28 29 30 31 33 34 35 36 38 39 42 43 46 47 49 50 51 54 55 57 58 59 61 62 63 64 65 66 68 69 70 72 73 76 77 80 81 83 84 85 88 89 91 92 93 95 96 97 98 99 103 105 107 108 109 110 111 +1 1 1 1 1 -1 -1 -3 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 26 27 28 30 31 34 35 36 37 39 41 43 44 46 47 48 49 51 52 54 55 56 57 59 60 62 64 66 67 68 70 71 72 73 75 76 78 80 82 83 84 86 88 90 91 92 93 94 96 98 102 103 104 106 107 110 111 +1 0 0 0 0 2 1 1 0 : 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 37 38 41 42 43 44 45 46 49 50 51 52 53 54 57 58 59 60 61 62 65 66 67 68 69 70 73 74 75 76 77 78 81 82 83 84 85 86 89 90 91 92 93 94 97 98 99 102 103 104 107 108 109 +1 3 1 -1 -1 -1 1 -1 3 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 28 29 30 32 36 38 39 41 42 45 46 48 49 51 53 54 56 57 59 60 61 63 64 66 67 68 69 70 71 72 74 75 76 78 79 81 82 84 86 87 89 90 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 1 -3 1 -1 1 3 : 0 1 2 5 6 7 8 9 10 11 13 14 15 17 19 20 21 23 25 27 29 30 31 33 34 35 36 38 39 41 42 44 46 47 49 50 53 54 56 57 59 61 62 64 65 67 69 70 72 73 75 77 78 80 81 83 84 85 87 88 89 90 91 92 93 95 96 98 99 101 103 105 106 107 109 110 111 +1 1 0 0 -1 0 0 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 18 19 20 21 25 28 29 30 31 34 36 37 39 41 42 43 44 45 50 51 53 54 55 56 57 59 62 63 64 65 69 70 71 72 73 75 78 79 80 81 84 85 87 89 90 91 92 93 98 99 100 101 102 103 106 107 108 109 111 +1 1 1 -1 1 1 3 1 -3 : 0 1 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 24 27 29 30 31 32 33 34 36 38 41 43 45 47 48 49 50 51 52 53 54 55 56 58 60 62 65 67 69 71 72 73 74 75 76 77 78 79 80 82 83 84 86 89 91 93 95 96 97 98 99 100 103 105 106 107 108 109 110 +1 1 -1 3 1 3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 17 18 19 20 21 22 23 24 25 26 28 29 32 33 35 36 37 38 39 41 44 46 47 48 49 51 53 56 57 58 59 60 61 63 64 65 66 67 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 100 102 103 106 107 109 110 111 +1 1 1 -1 -1 -1 -3 1 3 : 0 1 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 24 25 26 27 29 30 31 32 36 37 38 39 41 43 45 47 48 50 53 55 56 58 60 62 64 65 66 67 68 69 70 72 73 74 75 76 77 78 79 81 83 84 85 86 87 89 91 93 95 96 98 100 101 102 103 105 106 107 108 +1 1 1 0 0 0 0 0 0 : 24 25 26 27 28 29 30 31 32 33 34 35 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 -2 0 0 0 1 : 1 2 5 6 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 29 30 34 35 36 39 41 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 61 62 64 67 69 70 72 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 95 97 98 100 101 105 106 110 111 +1 1 1 1 -3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 25 27 28 30 33 34 35 36 40 41 42 44 45 46 47 49 50 51 52 53 54 56 57 58 59 61 62 63 67 68 69 70 72 73 74 75 77 78 79 83 84 85 86 87 88 89 90 91 95 96 101 103 104 106 109 110 111 +1 1 -1 -1 1 1 3 -3 -1 : 0 1 2 4 5 7 9 10 11 13 14 15 16 17 18 20 21 22 25 26 27 28 30 31 32 35 37 38 40 41 42 43 44 45 46 47 48 50 51 53 54 57 58 61 62 64 65 66 67 69 70 73 74 77 78 80 81 82 83 84 85 86 87 89 90 93 94 97 98 100 103 104 105 107 108 109 110 +1 1 -1 1 0 0 1 -1 -1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 18 19 22 23 24 25 26 27 30 31 33 34 38 40 41 42 43 44 45 46 47 50 52 54 55 56 57 58 59 60 61 62 63 64 66 67 69 72 73 74 75 76 77 78 79 81 86 88 89 90 91 92 93 94 95 98 101 102 104 105 108 109 110 111 +1 1 -1 -3 1 -1 1 1 -3 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 20 21 22 23 24 25 27 28 29 30 33 35 37 38 39 40 43 44 45 46 47 49 50 51 53 54 55 56 59 60 61 62 65 66 67 68 71 72 73 74 77 78 79 80 83 84 87 88 89 90 93 94 95 96 99 100 102 105 106 107 108 110 111 +1 0 1 0 0 -1 -2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 42 43 44 45 46 47 50 51 52 53 54 55 58 59 60 61 62 63 66 67 68 69 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 92 93 96 97 98 99 102 103 108 109 +1 1 -1 -3 1 -1 -3 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 18 19 20 21 22 23 24 25 27 28 29 32 33 35 36 37 39 40 41 44 45 46 47 48 49 51 53 54 55 58 59 60 61 62 65 66 67 68 69 72 73 74 76 77 79 80 81 86 87 88 90 91 93 94 95 98 99 100 102 103 106 107 108 110 111 +1 1 1 1 -1 -1 0 0 -1 : 1 2 4 6 7 9 10 12 13 14 15 16 17 18 19 21 22 25 26 27 28 29 31 32 35 37 38 41 42 45 46 48 49 50 51 52 53 54 55 57 58 61 62 65 66 68 69 70 71 73 74 77 78 81 82 84 85 86 87 88 89 90 91 92 93 94 95 97 98 101 102 103 104 105 107 108 111 +1 1 0 -2 1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 100 102 103 104 105 106 107 108 109 110 111 +1 3 -1 -1 1 1 -1 3 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 25 26 28 30 31 32 35 37 39 40 41 43 44 45 47 48 49 50 51 53 54 55 57 59 61 63 64 65 67 69 70 71 73 75 77 79 80 81 83 84 85 86 89 90 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 3 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 20 21 22 23 24 26 29 30 31 32 34 35 36 37 38 41 42 43 44 47 48 49 50 52 53 54 56 57 58 59 60 63 64 65 66 68 71 72 73 74 77 78 79 80 83 84 87 88 89 90 93 94 95 96 99 100 101 103 104 105 106 109 111 +1 1 -3 -1 -1 -1 -1 1 -3 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 28 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 50 52 53 55 57 58 61 62 64 66 67 68 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 105 106 107 +1 3 1 1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 17 20 21 23 27 30 31 33 34 35 38 41 45 48 49 51 53 56 57 59 60 61 63 64 65 66 67 69 72 73 75 76 77 79 80 81 82 83 84 85 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 2 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 109 110 111 +1 1 0 0 -1 -2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 25 26 33 34 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 76 77 78 79 80 81 82 83 84 85 86 87 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +1 3 1 -1 1 -1 1 3 1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 24 26 28 30 31 32 34 37 39 40 41 43 45 46 47 49 51 52 53 55 56 58 59 61 63 64 65 67 69 70 71 73 75 76 77 78 79 81 82 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 0 1 1 2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 33 34 35 36 37 38 39 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 64 65 66 67 68 69 70 71 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 96 97 98 99 100 101 102 109 110 111 +1 1 1 -1 3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 36 37 38 40 45 46 47 48 49 50 51 52 53 54 55 56 57 58 63 65 66 67 68 75 76 77 78 79 80 81 82 83 84 85 86 88 93 94 95 96 97 98 99 100 101 106 107 108 109 110 +1 0 1 -1 0 -1 0 0 1 : 1 2 4 5 7 8 11 12 15 17 18 19 21 22 23 24 25 26 27 28 30 31 32 34 36 39 40 43 45 46 49 50 52 55 56 57 58 59 61 62 64 65 66 67 68 69 70 71 72 75 76 77 78 79 81 82 84 87 88 91 93 94 97 98 100 102 105 106 109 111 +1 0 1 0 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 35 36 43 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 +1 1 1 1 -3 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 23 25 26 27 28 29 33 34 35 39 40 41 42 43 44 45 46 47 51 52 56 57 58 59 60 61 62 63 64 68 72 73 74 75 76 77 78 79 80 84 85 86 88 89 90 91 93 94 95 96 97 98 101 102 103 104 105 109 110 111 +1 1 -3 1 1 3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 40 41 42 43 47 48 49 50 51 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 97 98 99 102 105 107 108 109 110 111 +1 0 1 0 0 0 1 -1 -1 : 0 1 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 24 25 26 28 29 32 33 34 35 36 37 38 39 41 45 48 49 50 51 53 56 57 58 59 60 61 62 63 65 68 69 70 71 74 78 80 81 82 83 86 88 89 90 91 92 93 94 95 98 103 104 105 106 107 108 +1 1 1 1 -3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 25 30 31 32 33 34 35 39 41 42 43 44 45 46 47 48 49 50 53 54 55 56 57 58 59 60 61 62 64 69 70 71 72 73 74 75 76 77 78 80 84 85 86 87 88 89 90 91 92 99 101 106 107 108 109 110 111 +1 0 0 1 0 0 0 1 0 : 0 3 4 7 10 13 16 17 19 20 21 22 23 24 28 31 35 36 38 40 42 44 46 48 50 53 55 57 59 61 63 65 67 68 70 72 74 76 78 80 82 85 87 89 91 93 95 97 99 100 104 107 111 +1 1 -1 -1 1 -1 3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 25 27 30 31 32 33 35 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 62 63 65 66 67 69 70 71 72 73 74 78 79 81 82 83 84 85 86 88 89 93 94 95 96 97 98 100 102 103 104 105 108 110 +1 1 0 0 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 18 21 23 25 26 28 31 33 34 36 37 38 39 41 43 45 47 48 50 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 84 85 86 87 89 91 93 95 96 98 100 101 102 103 105 106 107 108 111 +1 0 0 0 1 0 1 2 0 : 0 1 2 3 4 7 8 10 11 12 13 14 15 17 18 21 22 25 27 28 31 32 34 36 38 39 40 42 43 44 45 47 48 49 51 52 54 55 56 58 59 60 61 63 64 65 67 68 70 71 72 74 75 76 77 79 80 81 83 84 86 87 88 90 91 92 93 95 96 97 99 101 103 104 107 108 110 +1 0 0 0 1 0 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 17 18 19 20 21 22 25 27 28 29 30 31 32 34 36 37 38 39 40 44 45 46 47 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 84 85 86 87 88 92 93 94 95 99 101 103 104 105 106 107 108 110 +1 1 3 1 -1 -1 1 3 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 25 26 27 29 30 31 32 33 34 35 36 38 39 40 42 44 46 48 49 50 52 53 55 56 58 59 60 62 63 64 66 69 70 71 73 75 77 79 80 81 83 84 85 86 87 89 90 91 93 94 95 97 99 101 102 104 106 107 108 111 +1 2 0 0 0 1 1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 26 27 32 33 38 39 40 41 42 43 46 47 48 49 50 51 54 55 56 57 58 59 62 63 64 65 66 67 70 71 72 73 74 75 78 79 80 81 82 83 86 87 88 89 90 91 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 -1 -1 1 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 24 25 27 28 29 30 31 32 33 40 41 42 43 44 45 46 47 52 53 54 55 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 80 81 82 83 88 89 90 91 92 93 94 95 100 101 102 109 110 111 +1 1 1 1 -1 -1 -3 -1 3 : 0 1 3 5 6 7 9 11 12 13 14 15 16 17 18 19 20 22 25 26 27 28 29 30 32 35 36 38 41 43 45 47 48 49 50 51 52 53 54 55 56 58 60 62 65 67 68 69 70 71 72 74 76 78 81 83 84 85 87 88 89 90 91 92 93 94 95 96 98 101 102 103 104 105 106 108 111 +1 1 -1 3 -3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 50 51 52 53 54 55 56 57 58 59 61 64 65 67 70 73 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 94 97 100 101 103 105 107 109 110 111 +1 1 1 -1 3 3 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 33 34 36 37 38 39 40 44 48 49 50 51 52 53 54 55 59 63 64 65 66 67 69 70 71 72 73 74 76 77 78 80 81 82 83 84 85 86 87 88 92 96 97 98 99 100 101 102 103 104 105 109 110 +1 0 1 0 1 -2 0 0 0 : 4 5 6 7 8 9 10 11 12 13 14 15 16 23 24 26 27 28 29 30 31 32 33 34 35 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 84 85 86 87 88 89 90 91 92 93 94 95 101 102 109 110 +1 1 0 1 0 0 1 0 1 : 0 2 3 5 6 9 11 12 14 16 18 20 21 22 23 24 27 29 30 32 35 37 39 40 42 44 46 49 51 53 54 55 56 58 59 60 62 63 65 66 67 68 70 73 75 77 79 80 82 84 86 87 89 90 91 93 94 95 96 98 99 101 102 104 106 107 108 109 110 111 +1 3 1 -3 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 26 28 29 32 34 35 36 37 38 39 40 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 1 3 3 -1 -1 -1 : 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 30 31 32 33 34 36 37 38 39 40 44 48 49 50 51 53 54 55 56 57 58 60 61 62 64 65 66 67 68 69 70 71 75 79 80 81 82 83 84 85 86 87 88 92 96 97 98 99 101 102 103 104 105 109 110 111 +1 0 1 -1 0 -2 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 76 77 78 79 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 109 111 +1 0 0 1 0 0 -1 0 2 : 0 1 2 3 5 6 9 11 12 14 16 17 18 19 20 21 23 24 27 29 30 32 35 36 37 38 40 41 43 44 45 47 48 49 50 53 54 55 56 58 59 60 62 63 65 66 67 68 69 71 72 73 74 76 77 78 80 81 83 84 86 87 89 90 91 93 94 95 96 98 99 100 103 105 106 108 111 +1 1 -1 -3 -1 3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 24 26 30 31 32 33 34 35 36 37 38 40 41 42 43 44 48 49 50 51 53 54 55 56 57 58 60 61 62 63 64 68 72 73 74 75 79 80 81 82 83 84 85 86 87 88 92 93 94 95 99 100 101 102 103 104 105 109 111 +1 0 0 0 1 0 1 -2 0 : 0 1 2 3 4 7 8 10 11 12 13 14 15 17 18 21 22 25 27 28 31 32 34 37 38 39 41 42 43 44 45 46 48 49 50 53 54 55 57 58 59 60 61 62 64 65 66 69 70 71 73 74 75 76 77 78 80 81 82 85 86 87 89 90 91 92 93 94 96 97 98 101 103 104 107 108 110 +1 0 1 0 2 0 0 1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 45 47 49 51 52 53 54 55 56 57 58 59 61 63 65 67 68 70 72 74 76 77 78 79 80 81 82 83 84 86 88 90 92 93 94 95 96 97 98 99 101 104 107 110 +1 0 1 1 1 1 -1 1 0 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 27 29 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 49 50 52 54 55 57 58 61 62 64 65 67 68 70 71 73 74 77 78 80 81 83 85 86 88 89 91 92 93 95 96 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 3 -1 -1 1 1 1 -1 -3 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 25 26 27 29 30 31 35 37 38 40 42 43 44 46 47 48 49 50 51 52 53 55 57 58 61 62 64 66 67 68 69 71 73 74 77 78 80 82 83 84 86 87 88 89 91 92 93 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 1 0 0 0 -2 0 1 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 26 28 31 33 36 37 38 39 40 42 44 45 46 47 48 50 52 53 54 55 56 58 60 61 62 63 64 66 68 69 70 71 72 74 76 77 78 79 80 82 84 85 86 87 88 90 92 93 94 95 96 98 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 -1 1 -3 -1 1 3 : 0 1 2 4 5 7 8 9 11 12 13 15 16 18 19 20 22 23 25 26 28 29 30 32 33 35 36 37 39 40 41 43 44 45 46 47 48 50 51 53 54 57 58 60 61 63 64 65 67 69 70 73 74 76 77 79 80 81 83 84 86 87 88 90 91 93 94 97 98 100 102 103 105 106 107 109 110 +1 1 -1 1 -1 1 -3 1 -3 : 0 2 3 5 6 7 8 9 10 11 12 14 17 19 20 21 22 23 24 26 27 28 29 30 32 34 37 39 40 41 42 43 44 46 49 51 52 53 54 55 56 57 58 61 63 64 65 66 67 68 70 73 75 76 77 78 79 80 82 85 87 88 89 90 91 92 94 97 99 101 103 105 106 107 108 109 111 +1 0 0 1 0 0 2 0 -1 : 0 1 2 3 5 6 9 11 12 14 16 17 18 19 21 22 23 24 27 29 30 32 35 36 37 38 40 41 43 44 45 47 48 49 50 53 54 55 56 58 59 60 62 63 65 66 67 68 69 71 72 73 74 76 77 78 80 81 83 84 86 87 89 90 91 93 94 95 96 98 99 100 103 105 106 108 111 +1 3 -3 -1 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 16 17 19 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 62 63 64 65 66 67 70 72 74 75 77 82 85 90 92 93 95 97 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 -1 1 0 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 25 27 28 29 30 31 32 34 35 36 40 41 42 43 44 45 46 48 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 71 72 76 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 100 102 103 104 106 109 110 +1 3 -1 -1 1 3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 25 26 27 30 31 33 35 38 40 41 42 43 44 46 47 48 49 50 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 84 85 87 88 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 3 1 -3 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 25 28 29 32 33 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 51 53 58 60 61 63 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 +1 1 -1 0 1 -1 1 1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 21 22 23 24 25 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103 104 105 106 109 110 111 +1 1 -1 1 -3 -1 -3 1 1 : 0 1 2 3 4 5 8 10 11 12 13 14 15 16 17 20 21 22 24 25 27 28 29 32 33 34 36 37 39 40 41 45 46 47 50 51 52 53 54 55 56 57 59 60 61 62 65 66 67 68 69 72 73 74 78 79 80 82 83 84 85 87 88 89 93 94 95 98 99 101 102 103 106 107 108 110 111 +1 1 1 -1 1 3 3 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 19 21 22 23 24 26 27 28 30 32 33 34 36 37 42 43 44 45 46 48 50 51 52 53 55 57 58 59 60 61 66 67 68 69 70 72 74 75 77 78 79 80 81 82 83 84 85 90 91 92 93 94 96 98 99 100 102 103 104 106 108 109 110 +1 1 -1 1 1 -1 3 1 3 : 0 2 3 4 5 6 8 9 11 12 13 14 16 17 19 20 21 22 24 25 27 28 29 30 32 33 37 39 40 42 44 45 46 47 49 51 52 53 54 55 57 59 60 62 63 64 65 66 67 68 70 72 73 74 75 77 79 80 82 85 87 88 90 92 93 94 95 97 99 102 103 105 106 107 108 110 111 +1 1 1 -1 1 3 -1 3 1 : 0 1 3 5 6 7 8 9 10 12 13 15 16 18 19 21 22 23 24 26 27 28 30 31 33 34 36 38 41 43 44 45 46 48 49 51 52 54 55 57 58 59 60 62 65 67 68 69 70 72 73 75 77 78 79 80 81 82 83 84 86 89 91 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91 92 94 97 99 100 102 103 104 105 107 109 110 +1 1 1 -1 -3 -1 1 1 -3 : 1 2 3 4 5 6 8 9 10 12 13 14 15 17 18 19 20 23 24 25 26 29 30 31 32 34 37 38 39 40 43 45 46 47 48 51 52 55 56 57 58 60 63 64 65 66 68 69 70 71 73 74 75 76 77 78 81 82 83 85 86 87 88 91 93 94 95 96 99 100 101 102 105 106 107 108 110 +1 0 1 1 -1 0 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 25 26 27 29 31 33 35 36 37 38 39 42 44 45 46 47 48 50 51 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 85 86 87 88 89 91 92 93 94 95 97 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -3 -1 -1 -3 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 18 19 20 21 22 23 24 27 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 49 52 53 55 56 58 59 60 62 63 66 67 68 69 70 72 73 76 77 80 81 83 84 86 87 90 91 94 95 97 98 99 100 101 102 103 104 106 108 111 +1 1 1 -1 0 1 -1 -1 0 : 1 2 3 4 5 6 8 9 10 13 14 15 16 19 20 21 22 24 25 27 28 29 30 33 34 36 39 40 41 42 44 47 48 49 50 53 54 55 56 59 61 62 63 64 67 68 69 70 72 73 74 75 76 77 78 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81 82 83 85 86 88 89 91 92 93 95 96 97 98 99 100 103 105 106 107 109 110 111 +1 1 -1 1 3 1 1 -3 1 : 0 2 3 4 6 7 8 9 10 11 12 14 15 18 20 21 22 23 24 25 26 27 28 29 31 34 37 39 41 42 43 44 46 48 50 51 53 54 55 56 57 58 60 62 63 64 65 66 67 68 69 71 73 75 76 77 78 80 82 85 87 89 90 91 92 94 96 98 99 101 104 106 107 108 109 110 111 +1 0 0 0 2 0 0 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 25 28 29 30 31 34 37 38 39 40 41 43 44 45 46 48 50 51 52 53 55 57 58 59 60 62 63 64 65 66 68 69 71 73 74 75 76 78 79 80 81 82 85 86 87 88 89 91 92 93 94 96 98 99 101 104 105 106 107 110 +1 1 -1 0 -1 1 -1 -1 0 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 21 22 23 24 26 29 30 31 32 34 35 36 37 38 40 41 42 43 44 47 48 49 50 52 53 54 56 57 58 59 60 63 64 65 66 68 71 72 73 74 77 78 79 80 83 84 87 88 89 90 93 94 95 96 99 100 101 103 104 105 106 109 111 +1 0 1 0 -1 -1 -1 0 0 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 35 36 37 42 43 46 47 48 49 50 51 52 53 58 59 62 63 64 65 66 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36 40 41 42 44 45 46 47 49 50 51 52 53 54 55 56 57 58 59 60 64 65 66 71 72 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 95 96 100 101 103 104 106 109 110 111 +1 1 1 -3 -3 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 30 33 34 35 36 37 38 39 40 41 42 43 47 48 55 56 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 80 81 82 84 88 89 90 92 93 94 95 97 98 99 100 101 103 104 106 109 110 111 +1 1 0 -1 1 0 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 44 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 72 73 74 75 76 77 78 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 102 103 104 105 109 110 +1 0 1 -1 1 1 1 1 0 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 24 29 30 31 32 33 34 36 37 38 40 43 44 47 49 50 51 52 53 54 55 56 57 58 60 61 62 64 67 68 71 73 74 75 77 78 79 80 81 82 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 107 108 109 110 111 +1 1 3 3 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 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111 +1 3 -1 -1 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 26 27 28 29 30 34 35 37 38 39 40 41 42 43 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 93 94 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 3 -1 -1 -3 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 25 26 30 31 32 34 35 36 37 38 39 40 41 42 43 44 48 49 50 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 88 89 90 91 93 94 95 99 100 101 102 103 104 105 106 107 108 109 111 +1 1 -3 1 -3 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 61 64 65 67 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 98 99 101 103 105 107 109 110 111 +1 0 1 -1 1 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 16 18 19 20 21 22 23 24 26 27 28 29 30 31 33 34 38 39 42 43 44 45 48 49 52 53 54 55 56 57 58 59 62 63 66 67 68 69 72 73 76 77 78 79 80 81 82 83 86 87 90 91 92 93 96 97 100 101 103 108 110 111 +1 1 -1 1 3 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 34 36 39 41 42 43 44 47 49 50 51 53 54 55 56 57 58 61 62 63 64 65 66 67 68 69 70 72 75 76 77 78 80 83 84 87 89 90 91 92 95 97 98 99 101 105 106 107 108 109 110 111 +1 1 -1 1 -3 -3 1 -1 1 : 0 2 4 5 6 7 9 10 11 12 13 14 15 16 18 20 22 23 24 25 26 27 29 31 33 34 36 37 38 39 42 46 48 49 50 51 52 53 54 55 56 58 59 60 62 63 64 65 67 68 69 70 71 73 77 80 81 82 83 84 85 86 87 90 94 96 97 98 99 101 102 104 106 108 109 110 111 +1 3 -1 1 -1 -1 -3 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 27 28 29 32 33 34 36 37 39 40 41 44 45 48 49 50 52 53 54 55 56 57 59 60 61 63 64 65 68 69 72 73 74 76 77 78 81 82 83 84 85 87 88 89 92 93 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +1 0 2 0 0 -1 0 -1 0 : 0 3 5 6 7 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 31 32 33 34 35 37 39 40 41 42 43 45 47 48 49 50 51 53 55 56 57 58 59 61 63 64 65 66 67 68 69 70 71 72 74 76 77 78 79 80 82 84 85 86 87 88 90 92 93 94 95 96 98 102 104 107 109 +1 1 0 -1 0 0 0 0 2 : 1 2 5 6 11 12 16 17 18 19 20 21 22 23 24 29 30 35 36 39 41 42 45 46 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 72 75 76 79 81 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 +1 0 1 1 0 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 25 27 28 29 33 34 35 36 37 38 39 40 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 92 96 97 98 100 102 103 104 105 106 107 108 109 111 +1 1 0 -1 1 -1 -1 1 0 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 25 26 27 28 31 32 33 34 35 36 37 39 41 42 44 45 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 77 78 79 80 81 83 85 86 88 90 91 92 93 95 97 98 100 102 103 105 106 107 110 +1 3 -1 1 3 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 25 26 27 28 30 34 36 43 44 45 46 47 48 49 50 51 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 -1 1 0 0 -1 : 1 2 4 5 7 8 9 10 12 13 14 16 19 20 23 25 26 29 30 33 34 37 38 40 41 42 43 45 46 49 50 52 55 56 57 58 59 60 63 64 67 68 71 72 73 74 75 76 79 80 83 85 86 88 89 90 91 93 94 97 98 100 101 103 104 105 107 108 109 111 +1 1 1 1 1 -3 1 1 -3 : 1 2 3 4 6 7 8 11 12 13 14 15 16 19 20 21 22 23 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 47 48 51 52 55 56 59 61 62 63 65 66 67 68 71 72 75 77 78 79 81 82 83 85 86 87 89 90 91 92 93 94 95 96 97 98 102 105 106 107 108 109 110 111 +1 1 -1 -1 0 0 1 -1 1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 17 19 21 23 25 26 27 29 31 33 34 35 36 38 39 40 41 42 43 44 45 46 47 48 50 51 54 56 57 58 59 60 61 62 63 66 70 72 73 74 75 76 77 78 79 82 85 88 89 90 91 92 93 94 95 97 100 101 102 104 106 108 109 110 +1 1 1 -1 -1 -3 -3 1 1 : 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 22 23 24 25 26 27 30 31 32 33 36 37 39 41 42 43 44 45 50 51 52 53 58 59 60 61 62 64 66 67 68 69 70 71 72 73 74 76 77 79 81 82 83 84 85 87 89 90 91 92 93 98 99 100 101 102 103 106 107 108 109 +1 1 -1 1 -1 -3 -1 1 3 : 0 1 2 4 5 7 8 10 11 12 14 15 16 17 19 20 21 23 24 26 28 29 30 32 33 34 36 37 39 40 41 43 45 46 49 50 52 53 54 55 56 58 59 60 61 63 64 65 67 69 70 73 74 76 78 79 80 82 83 84 85 87 88 89 91 93 94 97 98 101 102 103 105 106 107 109 111 +1 1 1 1 -1 -1 -1 -3 3 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 35 36 37 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 66 67 68 69 70 71 72 73 76 77 82 83 84 86 87 88 89 90 91 92 93 94 95 96 97 101 102 103 104 105 106 107 111 +1 1 1 3 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 26 27 29 31 34 35 36 38 39 40 41 42 43 46 48 50 51 52 53 55 57 60 61 62 63 64 65 67 70 72 74 75 77 82 84 85 86 87 88 89 91 92 93 94 95 96 97 98 99 100 102 103 105 107 110 111 +1 1 1 3 -1 3 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 33 35 36 37 38 39 40 44 45 46 47 51 52 56 57 58 59 63 64 65 66 67 69 70 71 72 73 74 76 77 78 79 80 84 85 86 88 89 90 91 92 96 97 98 99 100 101 102 103 104 105 109 111 +1 1 1 0 1 0 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 17 18 19 20 21 22 24 26 27 28 29 33 34 35 39 40 41 42 43 44 48 49 50 51 52 53 54 55 59 60 61 62 63 64 68 72 73 74 75 76 77 78 80 81 82 83 84 85 86 87 88 92 93 94 95 96 97 98 100 102 103 104 105 109 110 111 +1 1 -1 -1 0 0 0 1 0 : 0 3 4 7 10 13 16 17 18 19 20 22 23 25 26 27 28 29 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 84 86 88 90 92 94 96 98 100 101 102 103 105 106 107 108 109 110 +1 1 -3 -1 1 -3 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 43 44 45 46 47 49 50 51 52 53 54 55 56 60 61 62 63 67 71 72 73 74 75 77 78 79 80 81 82 84 88 89 90 91 95 96 97 98 99 100 102 105 107 108 109 110 +1 1 0 0 0 -1 0 -2 0 : 0 3 4 5 6 7 8 10 13 15 16 18 21 23 26 28 31 33 36 38 40 41 42 43 44 46 48 49 50 51 52 54 56 57 58 59 60 62 64 65 66 67 68 70 72 73 74 75 76 78 80 81 82 83 84 86 88 89 90 91 92 94 96 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +1 1 -1 1 3 1 1 -1 3 : 0 1 2 4 5 6 8 9 10 12 13 14 15 18 19 20 22 23 24 25 26 27 29 30 31 34 37 38 40 42 43 45 46 48 50 51 52 54 55 56 57 59 60 62 63 64 65 66 67 68 69 71 73 74 76 77 79 81 82 85 86 88 90 91 93 94 96 98 99 101 104 105 106 108 109 110 111 +1 1 1 -1 1 0 1 -1 0 : 0 1 2 4 7 8 10 11 12 14 15 16 17 19 20 21 23 24 26 28 29 30 32 33 34 37 38 41 42 44 46 47 48 50 51 52 53 55 56 57 59 61 62 65 66 68 70 71 72 74 75 76 77 78 79 80 81 82 83 85 86 89 90 92 94 95 96 98 99 100 102 104 105 106 108 109 110 +1 1 1 0 -1 1 0 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 16 18 19 20 21 23 24 25 27 28 30 32 33 35 36 37 40 41 42 44 45 47 48 49 54 55 56 58 59 61 62 63 66 67 68 69 70 72 73 74 75 76 77 80 81 82 84 86 87 88 89 90 91 94 95 96 98 99 100 101 103 104 106 108 109 111 +1 1 -1 -1 3 1 1 -3 -1 : 0 1 3 4 5 7 8 9 10 11 12 14 15 16 17 18 20 21 25 26 27 28 30 31 34 35 37 38 39 40 41 42 44 46 47 48 49 50 51 53 55 57 58 59 60 62 64 66 67 69 71 73 74 75 76 78 80 82 83 84 85 87 89 91 92 93 94 96 98 100 101 104 105 107 108 109 110 +1 1 1 1 3 1 1 -1 -3 : 0 1 2 4 5 6 8 9 10 11 13 14 15 18 19 20 22 23 25 28 29 30 32 33 34 35 36 37 39 41 42 44 45 47 49 50 53 54 56 58 59 61 62 64 66 67 69 70 72 74 75 77 78 80 82 83 84 86 87 88 89 91 92 94 95 96 97 98 99 101 104 105 106 108 109 110 111 +1 1 1 1 3 -1 -1 3 1 : 0 1 3 4 5 7 8 9 11 12 13 14 15 16 17 18 20 21 25 26 27 28 30 31 34 35 36 38 40 42 43 45 47 49 50 51 52 53 54 56 58 60 61 63 65 67 68 69 70 72 74 76 77 79 81 83 85 86 87 88 89 90 92 93 94 95 96 97 99 101 102 103 104 106 107 110 111 +1 1 0 -1 0 -1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 18 19 20 21 22 23 24 26 27 32 33 35 36 37 38 39 40 41 44 45 46 47 48 49 52 53 58 59 60 61 66 67 68 69 70 71 72 73 76 77 78 79 80 81 84 85 90 91 92 93 98 99 100 101 102 103 104 105 106 107 110 +1 1 1 0 0 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 30 31 32 34 35 39 40 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 63 64 69 70 71 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 93 94 95 99 100 101 102 106 107 108 110 111 +1 3 -1 1 1 1 1 3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 67 68 70 71 72 73 75 76 77 79 81 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 1 1 0 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 84 86 87 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 111 +1 0 0 1 -1 0 1 -1 0 : 0 1 2 4 7 8 9 11 12 13 15 16 18 19 20 22 23 24 25 27 28 31 32 34 35 37 38 41 42 44 45 47 48 49 51 52 54 55 56 58 59 61 62 65 66 69 70 73 74 76 77 79 80 81 83 84 86 87 88 90 91 93 94 97 98 100 101 103 104 107 108 110 111 +1 1 -1 3 -1 -1 -1 -3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 20 22 23 24 28 30 31 32 33 34 35 36 38 39 40 41 43 44 45 47 49 51 52 53 54 55 56 57 58 60 61 62 64 66 68 69 71 73 75 77 79 81 82 83 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 107 111 +1 1 1 0 -1 -1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 35 36 37 38 39 48 49 50 51 52 53 54 55 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 84 85 86 87 88 89 90 91 92 93 94 95 100 101 102 103 104 105 106 107 108 111 +1 1 0 -1 -1 0 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 27 28 29 30 31 32 34 35 36 37 38 39 40 41 42 44 45 46 47 48 52 53 54 55 56 60 61 62 63 67 68 69 70 72 73 74 75 76 80 81 82 83 84 88 89 90 91 95 96 97 98 99 100 101 102 103 104 106 109 +1 1 0 0 2 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 25 28 31 34 37 39 41 43 44 45 46 47 48 49 50 51 53 55 57 59 60 61 62 63 64 65 66 67 69 71 73 75 76 77 78 79 80 81 82 83 85 87 89 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 -1 -3 -1 -1 -1 -3 : 1 2 3 5 6 7 8 9 10 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 34 36 37 38 40 43 44 45 46 48 51 52 55 57 58 59 60 63 65 66 67 68 69 70 71 72 73 74 77 78 79 80 81 82 84 85 86 88 91 92 93 94 96 99 100 101 102 103 104 105 106 110 +1 1 1 1 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 25 26 27 29 30 31 32 35 37 39 40 42 44 46 48 49 50 51 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 84 85 86 87 88 89 90 91 92 93 94 95 97 99 101 102 103 105 106 107 108 111 +1 1 -1 3 -1 1 -3 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 19 20 21 23 24 26 27 28 30 32 34 35 37 38 39 40 41 42 46 47 49 50 51 52 53 55 56 57 58 59 60 61 64 65 67 70 71 73 74 75 76 78 79 82 83 84 85 88 89 91 92 93 94 96 97 100 101 103 105 107 108 109 111 +1 1 -3 1 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 25 26 27 28 29 31 32 33 34 35 36 39 40 41 42 45 46 47 48 51 52 53 54 56 57 58 59 60 63 64 65 66 68 71 72 73 74 77 78 79 80 83 84 85 86 89 90 91 92 95 96 97 98 101 103 104 105 106 109 111 +1 1 -3 1 3 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 25 26 27 28 29 30 31 32 33 35 37 42 44 45 46 47 48 49 50 51 52 53 55 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 77 82 84 86 87 88 89 90 91 92 93 95 97 101 102 103 105 107 110 111 +1 1 -1 -1 1 3 -1 1 -3 : 0 1 2 4 5 7 8 9 11 12 13 15 16 18 19 20 22 23 25 26 28 29 30 32 33 35 36 37 39 40 41 43 44 46 47 48 49 50 51 53 54 57 58 60 61 63 64 65 67 69 70 73 74 76 77 79 80 81 83 84 86 87 88 90 91 93 94 97 98 100 102 103 105 106 107 109 110 +1 1 -3 3 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 38 39 42 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 87 90 94 97 100 101 102 104 106 108 111 +1 1 1 3 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 25 27 29 31 33 35 36 38 39 42 44 45 46 47 48 50 51 52 53 55 56 57 58 59 61 64 65 67 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 95 96 97 98 99 100 101 103 105 107 109 111 +1 1 1 -1 -1 3 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 24 25 26 27 30 31 33 38 40 41 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 62 63 65 69 72 73 74 75 78 80 81 82 83 86 88 89 90 91 92 94 95 96 97 99 100 101 102 103 106 107 109 +1 1 -1 -1 3 -1 -3 1 1 : 0 1 2 3 4 5 8 9 10 11 12 13 15 17 18 19 22 23 25 27 28 29 32 33 34 35 36 37 38 41 42 43 44 45 46 47 48 49 51 53 54 55 58 59 60 61 63 64 65 69 70 71 74 75 76 77 79 80 81 86 87 88 90 91 92 93 96 97 98 100 101 102 103 106 107 108 110 +1 1 0 1 1 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 16 17 18 19 20 21 23 24 25 27 32 34 35 38 39 42 43 44 45 48 49 52 53 56 57 60 61 62 63 64 65 66 67 70 71 74 75 76 77 80 81 84 85 88 89 92 93 94 95 96 97 98 99 102 103 104 105 106 107 109 110 111 +1 1 0 1 -1 1 0 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 25 26 28 29 30 31 33 34 35 36 37 40 41 43 44 45 46 48 49 52 53 55 56 57 58 59 60 61 64 65 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 91 94 95 97 98 99 101 103 105 107 108 109 111 +1 1 1 1 -1 -1 -1 -3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 35 36 38 39 40 41 43 44 45 47 49 51 52 54 56 58 59 60 62 63 64 65 67 68 70 72 74 75 76 78 79 80 81 83 84 85 86 88 90 92 94 96 98 99 101 102 103 104 105 107 111 +1 1 1 1 3 -1 -3 -1 -1 : 0 1 2 3 6 7 8 9 10 11 12 13 15 16 17 18 19 22 25 26 27 28 29 32 34 35 38 39 41 42 43 44 45 48 49 51 52 54 55 58 59 60 61 62 64 65 68 70 71 74 75 76 77 78 80 81 84 85 87 88 90 91 92 93 94 95 96 97 98 101 102 103 104 105 108 110 111 +1 1 0 0 -2 0 0 1 0 : 0 3 4 7 8 9 10 11 12 13 14 15 18 21 25 28 31 34 36 37 38 39 40 41 42 43 44 46 48 50 52 53 54 55 56 57 58 59 60 62 64 66 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 100 101 102 103 105 106 107 108 109 110 111 +1 1 1 -1 -1 -1 3 1 -3 : 0 1 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 24 25 26 27 29 30 31 32 36 37 38 39 41 43 45 47 48 50 53 55 56 58 60 62 64 65 66 67 68 70 71 72 73 74 75 76 77 78 79 81 83 84 85 86 87 89 91 93 95 96 98 100 101 102 103 105 106 107 108 +1 1 1 1 1 -3 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 26 28 29 32 33 34 35 38 40 41 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 62 63 65 68 70 71 72 73 75 76 77 78 79 81 84 85 86 87 89 92 93 94 95 98 102 104 105 108 109 110 111 +1 1 1 -1 -1 1 -3 3 -1 : 0 1 2 4 5 7 8 9 10 12 13 14 16 17 18 20 21 22 24 25 27 28 29 31 32 33 37 38 40 41 42 43 45 46 49 50 53 54 57 58 60 61 62 63 65 66 68 69 70 71 72 73 75 77 78 80 81 82 83 85 86 88 89 90 91 93 94 97 98 100 101 103 104 105 107 108 109 +1 2 0 0 0 1 -1 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 26 27 32 33 36 37 40 41 42 43 44 45 48 49 50 51 52 53 56 57 58 59 60 61 64 65 66 67 68 69 72 73 74 75 76 77 80 81 82 83 84 85 88 89 90 91 92 93 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 24 26 27 30 31 32 33 34 36 37 38 40 42 43 44 45 50 51 52 53 54 55 56 57 58 59 60 61 62 64 66 67 68 69 74 75 76 77 79 81 82 83 84 85 86 88 90 91 92 93 98 99 101 102 103 104 105 108 109 111 +1 0 1 2 0 0 1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 55 58 59 62 63 66 67 68 69 72 73 76 77 80 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 103 108 111 +1 1 -1 -1 1 -1 -1 3 -1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 25 28 30 31 32 33 35 37 39 41 42 43 44 45 47 49 51 53 54 55 56 57 58 61 63 65 66 67 69 70 71 72 73 74 77 79 81 82 83 84 85 86 88 90 93 94 95 96 97 98 100 102 103 104 105 107 110 +1 1 -1 -1 0 0 1 -1 -1 : 0 1 4 5 6 7 9 10 11 12 13 14 16 17 20 21 23 25 26 27 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 48 49 50 51 52 53 54 55 58 62 64 65 66 67 68 69 70 71 74 78 80 81 82 83 84 85 86 87 89 93 96 97 98 99 100 101 102 104 105 108 109 110 +1 1 -3 3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 40 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 111 +1 1 -1 3 -3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 40 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 64 68 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 110 111 +1 0 0 1 0 1 1 0 -1 : 0 1 3 4 5 7 8 9 11 12 14 15 18 19 21 22 23 24 26 27 29 30 32 33 35 36 37 39 41 43 44 45 46 48 50 53 55 57 58 59 60 62 64 66 67 68 69 70 72 74 76 77 79 81 83 84 86 88 90 91 93 95 97 98 99 100 102 103 105 106 108 109 111 +1 1 -3 -3 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 55 58 62 65 68 70 71 74 78 81 84 85 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 104 105 108 111 +1 1 0 0 1 0 1 -1 0 : 0 1 2 4 7 8 10 11 12 14 15 17 18 21 22 25 27 28 31 32 34 37 38 41 42 44 46 47 48 50 51 53 54 57 58 60 62 63 64 66 67 69 70 73 74 76 78 79 80 82 83 85 86 89 90 92 94 95 96 98 99 100 102 104 105 106 108 109 110 111 +1 0 2 -1 0 1 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 102 109 111 +1 1 0 0 0 -2 0 0 -1 : 1 2 4 5 6 7 8 11 12 15 16 19 20 23 26 29 30 33 36 37 38 39 41 42 44 45 46 47 48 51 52 53 54 55 56 59 60 61 62 63 65 66 68 69 70 71 72 75 76 77 78 79 81 82 84 85 86 87 89 90 92 93 94 95 96 99 100 101 102 103 104 105 107 108 109 110 111 +1 1 1 1 -1 -1 -3 1 -3 : 0 2 3 4 5 6 9 10 11 12 14 15 16 17 19 20 21 22 25 26 27 29 30 31 32 35 37 39 40 42 44 46 48 49 50 51 52 53 54 55 57 59 61 63 64 66 68 69 70 71 73 75 77 79 80 82 84 85 86 88 89 90 91 92 93 94 95 97 99 101 102 103 105 106 107 108 111 +1 1 -1 -1 1 -3 -1 -3 -1 : 0 2 3 5 6 7 8 9 10 11 13 15 16 18 20 21 22 23 25 26 28 30 31 32 33 35 36 37 38 40 41 43 44 45 46 47 48 50 51 52 54 57 59 60 61 62 64 65 67 68 70 73 75 76 77 78 80 81 83 84 86 87 89 90 91 92 94 97 99 100 102 103 104 105 107 109 110 +1 1 -1 1 1 -3 -3 -1 1 : 0 1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 22 23 24 25 26 27 29 31 32 33 36 37 42 43 44 45 46 48 50 51 52 53 54 56 58 59 60 61 62 63 64 65 67 68 69 71 73 74 75 76 77 82 83 84 85 90 91 92 93 94 96 98 99 102 103 104 106 108 109 110 111 +1 0 1 1 0 1 0 0 -1 : 1 2 4 5 7 8 11 12 15 17 18 19 21 22 23 25 27 28 29 31 32 33 34 35 36 37 38 39 41 42 44 45 46 47 48 51 53 54 57 58 60 63 64 67 69 70 73 74 76 79 80 83 85 86 88 89 90 91 92 95 96 97 98 99 100 102 105 106 109 111 +1 0 0 2 1 0 1 0 0 : 0 1 2 3 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 27 32 34 35 36 37 38 39 40 41 42 43 44 45 48 49 54 55 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 81 86 87 90 91 92 93 94 95 96 97 98 99 100 101 103 108 110 111 +1 1 -1 3 -1 -1 1 3 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 17 19 20 21 22 23 24 27 28 30 31 33 34 35 36 37 39 40 42 43 44 46 47 48 50 52 53 54 55 57 58 59 61 62 63 65 67 68 70 71 72 74 76 78 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111 +1 3 1 1 -3 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 25 26 30 31 32 34 35 36 37 38 39 41 42 43 44 48 49 50 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 93 94 95 99 100 101 102 103 104 105 106 107 108 109 111 +1 2 0 0 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 18 21 25 28 31 34 36 37 38 39 40 41 42 43 44 46 48 50 52 53 54 55 56 57 58 59 60 62 64 66 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 1 -1 1 -1 3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 26 28 29 30 32 34 35 36 37 39 40 42 43 45 46 48 49 51 53 54 56 57 59 60 62 63 65 66 69 70 72 73 75 76 78 79 81 82 84 86 87 89 90 92 93 94 95 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +1 3 -1 -1 -1 -1 -1 -3 1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 99 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79 80 82 83 84 85 86 88 89 92 94 95 98 99 100 101 102 103 104 105 108 110 +1 1 1 1 1 1 -3 1 -3 : 0 2 3 5 6 7 9 11 12 13 14 15 17 19 20 21 22 23 27 29 30 31 32 33 34 35 36 37 38 39 40 42 44 46 49 51 52 54 57 59 61 63 64 65 66 67 68 70 73 75 77 79 80 81 82 83 85 87 88 89 90 91 92 93 94 95 96 97 98 103 105 106 107 108 109 110 111 +1 1 1 1 -1 3 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 25 26 28 29 32 33 35 36 37 39 40 42 43 44 45 46 47 50 53 56 57 58 59 60 61 63 64 66 67 69 72 73 74 75 76 77 79 80 82 83 86 88 89 90 91 93 96 97 98 99 101 102 104 105 108 109 111 +1 1 0 0 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 36 43 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 91 95 97 98 99 100 105 107 108 109 110 111 +1 1 -1 0 1 0 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 17 18 19 20 21 22 24 25 26 27 29 31 33 35 36 37 38 39 42 44 45 46 47 48 50 51 54 56 57 58 59 60 62 63 64 65 66 67 68 69 70 71 73 76 77 78 79 82 85 88 89 90 91 94 96 97 98 99 100 102 104 106 108 109 110 111 +1 1 1 -1 0 0 1 -1 1 : 0 2 4 5 6 7 9 10 11 12 13 14 16 17 19 21 23 24 25 26 28 30 32 33 34 36 37 38 39 42 46 48 49 50 51 52 53 54 55 57 61 64 65 66 67 68 69 70 71 72 74 75 76 78 79 80 81 82 83 84 85 86 87 90 94 96 97 98 99 100 101 102 104 106 108 109 110 +1 1 1 -1 1 -1 0 0 -1 : 1 2 4 6 7 8 9 10 11 13 14 17 18 20 21 22 23 24 26 27 28 29 31 32 34 37 38 41 42 44 45 46 47 49 50 53 54 56 57 58 59 61 62 65 66 68 69 70 71 73 74 76 77 78 79 80 81 82 83 85 86 89 90 92 93 94 95 97 98 100 102 103 104 105 107 108 110 +1 1 -1 0 0 0 -1 0 -1 : 0 2 3 5 6 9 11 12 14 17 19 20 22 24 25 26 28 30 31 32 33 34 35 36 37 38 40 41 43 44 45 47 48 49 50 52 53 55 56 57 58 60 61 62 64 65 67 68 70 73 75 77 79 80 82 85 87 88 90 92 94 97 99 100 101 102 103 104 105 107 109 110 111 +1 1 -1 -1 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 26 29 30 31 32 34 35 36 39 40 41 42 45 46 47 48 51 53 54 55 56 59 60 61 62 65 66 67 69 70 71 72 75 76 77 78 81 82 83 84 85 86 89 90 91 92 95 96 97 98 100 101 103 104 105 106 109 +1 1 -1 0 1 1 0 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 18 19 20 21 23 24 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 49 50 51 54 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 73 76 77 80 81 83 84 86 87 90 91 94 95 97 98 99 100 103 105 107 108 109 110 111 +1 1 -1 -3 1 3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 18 19 20 21 22 24 25 26 28 30 32 33 35 37 40 41 42 43 44 45 47 48 49 50 51 52 53 54 55 57 60 62 63 64 65 67 70 72 73 74 75 77 80 81 82 83 84 85 86 87 90 92 93 94 95 97 100 102 103 105 107 109 110 111 +1 1 -1 -1 -1 1 1 3 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 26 27 28 29 31 34 35 37 39 41 42 43 44 45 47 49 51 52 53 55 57 59 60 62 63 64 65 67 68 69 71 73 75 76 78 79 80 81 83 84 86 87 88 89 91 92 94 96 98 99 100 101 104 106 107 108 109 +1 2 0 0 1 1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 23 25 26 33 34 40 41 42 43 44 45 46 47 48 49 50 51 56 57 58 59 60 61 62 63 64 65 66 67 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 3 3 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 34 35 36 37 38 39 40 41 42 43 44 51 52 59 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 76 77 78 80 84 85 86 88 92 93 94 95 96 97 98 99 100 101 102 103 104 105 110 111 +1 3 -1 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 30 31 32 33 36 37 38 40 44 45 46 47 48 49 50 52 53 54 55 56 57 58 60 61 62 63 64 65 66 67 68 75 76 77 78 80 84 85 86 88 92 93 94 95 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 2 1 0 0 0 -1 0 0 : 0 1 2 3 9 14 17 22 24 25 26 27 28 29 30 31 33 34 35 36 37 40 41 44 45 48 49 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 0 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 43 47 48 55 56 60 64 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 1 -3 1 -1 -1 -3 : 1 2 3 4 5 6 8 9 10 12 13 14 15 17 18 19 20 23 25 27 28 29 30 33 34 35 37 38 39 40 43 45 46 47 48 51 52 55 56 57 58 60 63 64 65 66 68 71 72 73 74 76 79 80 81 82 84 85 86 88 89 90 91 92 93 94 97 98 99 101 103 104 105 106 109 110 111 +1 1 -3 1 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 40 41 42 43 46 48 50 51 52 53 54 55 56 57 58 59 60 62 63 64 65 66 67 68 69 71 73 76 77 78 79 80 81 83 85 90 92 93 95 97 101 104 106 108 109 111 +1 1 0 1 1 1 0 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 28 29 30 31 33 34 35 36 37 38 40 41 44 45 48 49 51 52 53 56 57 59 60 61 63 64 65 66 67 68 70 71 74 75 78 79 81 82 83 86 87 89 90 91 93 94 95 96 97 98 99 103 106 107 108 109 110 111 +1 0 0 0 0 2 1 -1 0 : 0 1 2 4 5 6 7 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 36 37 39 40 42 43 44 45 47 48 50 51 52 53 55 56 58 59 60 61 63 64 66 67 68 69 71 72 74 75 76 77 79 80 82 83 84 85 87 88 90 91 92 93 95 96 98 99 102 103 104 107 108 109 +1 1 -1 0 -1 1 1 -1 0 : 0 1 2 4 5 6 8 9 11 12 13 16 17 18 21 22 23 24 26 27 29 30 31 34 35 36 38 39 40 41 42 43 45 46 48 50 51 52 54 55 56 57 58 59 61 62 64 66 67 69 70 72 74 75 76 77 79 81 82 85 86 88 90 91 92 93 95 97 98 100 101 104 105 106 108 109 111 +1 1 1 -1 -1 -1 0 1 0 : 0 3 4 5 6 9 10 11 12 14 15 17 18 19 20 22 23 24 25 26 27 29 30 31 32 36 37 38 39 41 43 45 47 48 50 53 55 56 58 60 62 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 81 83 84 85 86 87 89 91 93 95 96 98 100 101 102 103 105 106 107 108 +1 3 -1 1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 18 20 22 24 25 27 29 31 33 36 38 39 42 44 45 46 47 48 50 51 52 53 54 55 56 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 84 86 87 90 92 93 94 95 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 0 -1 0 2 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 24 25 26 27 28 29 30 31 32 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33 36 38 39 41 42 43 44 46 49 51 52 54 57 59 60 61 62 64 65 67 68 69 71 72 73 74 75 76 78 79 81 82 83 84 86 87 89 90 91 92 94 97 99 100 101 102 104 106 107 108 109 +1 3 1 -1 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 20 21 24 28 29 32 33 34 38 40 42 43 44 46 47 48 49 50 51 53 58 62 64 66 67 68 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 -1 0 0 -1 -1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 20 21 22 23 26 27 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 46 47 48 49 50 52 54 55 56 57 58 62 63 64 65 68 70 71 72 73 74 78 79 80 81 86 87 88 89 93 94 95 96 97 99 100 101 102 103 104 105 108 109 +1 0 0 1 0 0 0 1 2 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 19 20 21 22 23 24 28 29 30 31 35 37 38 39 40 41 43 44 45 47 49 50 51 52 53 54 56 58 59 60 62 63 64 65 66 68 69 71 73 74 75 77 78 79 80 81 83 84 86 87 88 89 90 92 93 94 96 98 99 100 104 105 106 107 111 +1 1 0 0 1 -1 1 0 0 : 0 1 2 3 4 5 6 7 8 10 11 12 13 14 16 17 22 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99 100 102 103 105 107 108 109 110 111 +1 1 1 -1 1 -1 0 0 1 : 1 2 4 5 7 8 9 10 12 13 14 17 18 19 21 22 23 24 26 27 28 30 31 32 34 36 39 40 43 44 45 46 47 48 51 52 55 56 57 58 59 60 63 64 67 68 69 70 71 72 75 76 77 78 79 80 81 82 83 84 87 88 91 92 93 94 95 96 99 100 102 103 104 106 107 108 110 +1 0 0 1 -1 0 -1 0 -1 : 0 2 3 5 6 8 10 12 13 14 15 16 17 18 19 21 23 24 25 27 29 30 32 34 35 37 39 40 42 45 46 47 48 50 51 52 53 55 56 57 58 61 63 64 66 68 70 73 75 76 78 79 81 82 83 84 85 86 88 89 91 92 94 97 99 100 101 103 105 106 108 110 111 +1 3 1 -1 -1 3 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 26 30 31 32 33 39 40 41 42 43 44 48 49 50 51 52 56 57 58 59 60 61 62 65 66 67 69 70 71 72 73 74 75 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 0 1 -1 1 1 1 0 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 59 60 63 65 66 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 91 92 95 97 98 99 101 105 106 107 108 109 111 +1 3 -1 1 -1 1 -1 -1 3 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 26 29 30 31 32 34 36 39 40 41 42 45 46 47 48 51 52 53 54 56 57 58 59 60 63 64 65 66 69 70 71 72 75 76 77 78 81 82 83 84 87 88 89 90 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 3 -1 1 -1 -1 1 -3 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 25 26 27 28 29 31 32 33 34 35 36 37 39 41 42 44 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 68 69 71 73 74 76 77 78 79 80 81 83 85 86 88 90 91 92 93 95 97 98 100 102 103 105 106 107 110 +1 1 -1 0 0 0 -1 -1 0 : 1 2 3 4 7 9 10 13 14 17 18 21 22 24 25 26 29 30 31 32 33 34 35 36 37 38 40 41 42 44 45 46 48 49 50 52 53 54 56 57 58 60 61 62 64 65 66 68 71 72 75 76 79 80 83 84 87 88 91 92 95 96 99 100 101 102 103 104 105 106 109 110 111 +1 3 3 -1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 42 46 49 54 57 61 64 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 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85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 -1 1 1 -1 1 3 1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 27 28 29 31 33 37 39 40 41 43 45 46 47 49 51 53 54 55 57 59 60 61 62 63 65 66 67 68 69 71 72 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -3 1 -3 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 63 65 66 67 68 75 76 77 78 79 80 81 82 83 87 89 90 91 92 93 94 95 96 97 98 101 106 107 108 109 110 111 +1 1 -1 0 0 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 34 35 36 37 38 39 40 41 42 43 47 49 50 51 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 83 84 91 92 93 94 95 96 97 98 99 100 101 105 107 108 109 110 111 +1 0 1 1 -1 0 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 25 26 30 31 32 33 35 36 37 38 39 40 44 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 89 90 91 92 93 94 95 99 100 101 103 104 105 106 107 108 110 111 +1 0 0 1 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 75 79 80 87 88 92 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 1 -1 0 1 -1 0 1 : 0 1 3 4 6 7 8 9 11 12 14 15 16 18 19 21 22 24 25 27 28 30 31 33 34 36 38 40 41 42 45 47 48 49 51 52 54 55 56 58 61 62 63 65 67 68 69 70 72 73 74 75 76 77 79 80 81 82 83 84 86 88 89 90 93 95 96 97 99 100 101 103 104 106 107 109 110 +1 1 0 -1 -1 0 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 27 28 29 30 31 32 34 35 37 38 39 40 41 42 43 47 48 49 50 51 55 56 57 58 59 60 64 65 66 67 68 69 70 71 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 105 107 108 109 +1 1 1 -3 1 1 1 -3 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 19 20 21 22 23 24 28 30 31 32 33 34 35 36 37 38 40 42 44 46 48 50 51 52 53 55 57 59 61 63 65 66 67 68 70 72 74 75 76 78 79 80 81 82 83 85 87 89 90 91 93 94 95 96 97 98 100 104 106 107 108 109 110 111 +1 3 -1 3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 30 31 32 33 34 35 36 37 38 40 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 101 102 103 104 105 106 107 108 109 110 111 +1 2 1 0 0 1 0 0 0 : 4 5 6 7 8 15 16 23 24 25 27 28 29 30 31 32 33 34 35 40 41 42 43 48 49 50 51 56 57 58 59 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -3 1 3 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 19 20 21 22 24 25 26 29 31 32 33 35 36 40 41 42 43 44 45 46 48 49 50 51 52 53 54 55 56 61 62 63 64 65 66 71 72 73 74 75 76 80 81 82 83 84 85 86 87 91 92 93 94 95 96 100 102 103 104 106 109 110 111 +1 1 -1 0 -1 1 -1 0 1 : 0 1 3 4 6 7 8 10 11 13 14 16 17 19 20 22 23 24 26 28 29 31 32 34 35 36 37 39 40 41 42 43 45 47 48 49 51 52 53 54 56 57 58 59 60 62 64 65 66 69 71 72 73 75 77 78 79 81 83 84 86 88 89 90 92 94 95 96 98 100 101 103 104 106 107 109 111 +1 3 1 3 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 27 29 31 33 34 35 36 38 39 42 46 49 52 53 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 3 -1 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 26 30 31 32 34 36 37 38 40 41 42 43 44 48 49 50 52 53 54 55 56 57 58 59 60 61 62 64 65 66 67 68 72 73 74 79 80 84 85 86 88 89 90 91 92 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 1 -1 1 1 3 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 36 37 39 41 43 44 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 68 70 71 72 73 75 76 78 80 82 83 84 85 87 89 91 92 94 95 96 97 99 101 104 105 107 108 109 111 +1 1 -3 1 3 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 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83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 3 1 1 1 1 1 -3 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 1 1 -1 3 -1 -3 -1 : 0 2 3 4 5 6 8 10 12 13 14 15 16 17 18 19 21 23 25 26 27 28 29 31 33 35 37 39 40 42 45 46 47 48 50 51 52 53 55 56 57 58 61 63 64 66 68 69 71 72 73 74 77 79 80 82 84 86 87 88 89 90 91 92 93 95 96 97 98 101 102 103 104 105 107 109 111 +1 0 1 1 -1 0 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 25 26 29 31 32 33 35 36 40 41 42 43 44 45 46 48 49 50 51 55 56 57 58 59 60 64 65 66 67 71 72 73 74 75 76 80 81 82 83 85 86 87 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 110 111 +1 1 -1 -1 1 3 3 1 1 : 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 22 23 25 26 27 28 29 32 33 35 36 37 39 41 42 43 44 46 47 48 49 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31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 56 59 60 63 65 66 68 71 73 74 77 78 80 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 105 106 111 +1 0 1 -1 0 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 24 25 28 29 32 33 34 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 60 61 63 65 68 69 70 71 72 73 74 75 78 80 82 83 84 85 86 87 88 89 90 91 93 98 100 102 103 104 105 106 107 108 109 111 +1 1 1 -1 -3 -1 1 -3 1 : 0 2 3 4 5 7 8 9 11 12 13 14 15 17 18 19 21 23 24 25 26 28 30 31 32 34 36 38 39 40 42 45 46 47 49 51 52 54 56 57 58 61 63 64 65 67 68 69 70 71 72 74 75 76 77 78 81 82 83 84 86 87 88 90 93 94 95 97 99 100 101 102 104 106 107 108 110 +1 3 1 -1 -1 1 -1 3 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 27 28 29 31 33 37 39 40 41 43 45 46 47 49 51 53 54 55 57 59 60 61 62 65 66 67 68 69 71 72 73 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 1 -1 0 -1 -1 1 1 0 : 1 2 3 4 5 6 9 10 11 12 15 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88 90 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +1 1 -3 1 1 1 -1 -3 -1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 27 29 30 31 32 33 34 35 36 38 39 40 42 44 46 48 49 50 52 54 56 57 58 60 61 62 64 65 66 67 69 70 71 73 75 77 79 80 81 83 85 87 88 89 91 92 93 95 96 98 99 103 104 105 107 109 110 111 +1 1 1 -3 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 26 28 30 32 34 35 36 38 39 42 44 45 46 47 48 50 51 52 53 55 56 57 58 59 61 64 65 67 68 69 70 71 72 74 75 76 77 78 79 80 81 82 83 85 88 89 91 94 97 100 102 104 106 108 110 111 +1 1 -1 1 1 -1 3 -3 -1 : 0 1 2 4 6 7 8 9 10 11 13 14 16 17 18 19 21 22 24 25 27 28 30 31 32 33 37 38 41 42 44 45 46 47 49 50 52 53 54 55 57 58 60 62 63 64 65 66 67 69 70 72 73 74 75 77 78 81 82 85 86 89 90 92 93 94 95 97 98 102 103 104 105 107 108 110 111 +1 3 -1 -1 -1 1 -3 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 26 27 28 29 32 34 35 36 37 39 40 41 42 43 44 45 48 49 51 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 84 85 86 88 89 93 94 95 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +1 1 1 3 1 -3 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 18 19 20 21 22 24 26 27 30 31 33 34 35 38 40 41 42 43 45 48 49 50 51 52 53 54 55 58 60 61 62 63 65 69 72 73 74 75 76 77 79 80 82 83 84 85 86 87 89 92 93 94 95 96 97 99 100 102 103 106 107 109 110 111 +1 1 0 1 -1 1 0 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 25 26 28 29 30 31 33 34 35 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 59 62 63 65 66 67 68 69 72 73 75 76 77 78 80 81 84 85 87 88 89 90 91 92 93 96 97 99 101 103 106 107 108 109 111 +1 1 1 -1 3 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 29 31 32 34 36 40 41 42 44 45 46 47 49 50 51 52 53 54 56 57 58 59 61 62 63 67 71 72 76 77 78 79 80 81 82 83 84 88 89 90 92 93 94 95 97 98 99 100 101 102 105 107 108 110 +1 1 -1 1 1 0 -1 -1 0 : 1 2 3 4 7 8 9 10 11 12 15 16 17 18 19 20 23 24 25 26 29 30 31 32 33 36 39 40 43 44 45 46 48 49 50 52 53 54 56 57 58 60 61 62 63 64 65 66 67 69 70 71 73 74 75 76 79 80 83 84 87 88 91 92 93 94 96 97 98 102 103 104 105 106 109 110 111 +1 1 0 -1 0 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 46 48 52 53 54 55 56 57 58 59 60 67 68 69 70 72 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 101 102 103 104 106 110 +1 1 -1 -1 3 -1 1 -3 1 : 0 2 3 4 5 7 8 9 10 11 12 14 15 17 18 19 21 23 25 27 28 29 31 33 34 35 36 37 38 41 42 43 44 45 46 47 48 50 51 53 54 55 57 59 60 62 63 64 66 69 70 71 73 75 76 78 79 80 82 85 87 88 89 91 92 94 96 97 98 100 101 102 104 106 107 108 110 +1 0 0 2 0 1 0 0 1 : 1 2 4 6 7 8 11 12 15 16 17 18 19 20 21 22 23 24 26 29 30 33 35 36 37 38 39 40 43 44 45 46 47 49 50 53 54 56 57 58 59 60 63 64 65 66 67 68 69 70 71 73 74 76 77 78 79 80 83 84 87 88 89 90 91 93 94 96 97 98 99 100 102 105 106 109 111 +1 1 -3 -3 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 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36 37 38 39 41 44 45 46 47 48 49 51 53 56 57 58 59 60 61 63 64 65 66 67 68 69 70 71 74 76 77 78 79 81 86 88 89 90 91 93 96 97 98 99 100 102 103 106 107 109 110 111 +1 1 0 -1 -1 -1 -1 0 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 51 52 53 55 57 59 61 63 65 66 67 68 69 70 71 72 73 74 76 77 78 80 82 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 107 +1 1 -1 0 -1 -1 0 0 0 : 4 5 6 7 9 10 11 12 13 14 15 16 23 24 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 68 69 70 71 80 81 82 83 84 85 86 87 96 97 98 99 100 101 102 103 104 105 106 107 108 111 +1 1 -3 1 1 -3 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 42 44 45 46 47 49 52 53 54 55 57 60 61 62 63 64 65 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 98 99 102 103 105 107 109 110 111 +1 1 1 -3 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 26 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44 46 48 50 51 53 54 55 56 57 58 60 61 62 64 66 68 69 71 73 75 77 79 81 82 83 84 85 86 87 88 89 91 92 93 95 97 99 101 102 103 104 105 107 111 +1 1 -1 -1 3 -1 3 -1 1 : 0 1 2 3 5 7 8 10 11 12 13 14 15 17 19 21 22 23 25 27 29 31 32 33 34 35 37 38 39 40 41 42 44 45 46 47 48 50 51 52 53 54 56 57 60 62 63 66 67 68 69 70 72 73 76 78 79 82 83 84 85 88 89 91 94 95 97 98 99 100 101 102 103 104 106 108 110 +1 3 -1 -1 3 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 25 28 29 32 33 34 35 36 37 39 41 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 69 74 76 77 78 79 80 81 82 83 86 88 90 91 92 93 94 95 96 97 99 100 102 103 104 105 106 107 108 109 110 111 +1 3 -1 3 1 -1 -1 1 -1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 25 28 30 32 33 35 37 42 44 45 47 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 72 74 75 77 82 84 85 86 87 88 89 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +1 1 -3 -1 1 1 1 1 -1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 57 58 59 61 62 63 64 65 66 67 68 69 70 72 76 83 84 85 86 87 88 89 90 92 93 94 96 100 105 107 108 109 110 +1 1 -1 1 -1 -1 0 0 1 : 1 2 4 5 7 9 10 11 13 14 15 16 17 18 20 21 22 24 27 28 29 31 32 33 34 36 37 38 39 41 42 45 46 49 50 52 53 54 55 56 57 58 59 60 61 62 63 65 66 69 70 73 74 77 78 80 81 82 83 84 85 86 87 89 90 93 94 97 98 101 102 103 104 106 107 108 111 +1 1 1 -3 1 -1 1 1 3 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 19 21 22 23 24 26 29 30 31 32 34 35 36 39 40 41 42 45 46 47 48 51 52 55 56 57 58 61 62 63 64 67 69 70 71 72 75 76 77 78 79 81 82 83 85 86 87 88 91 92 93 94 97 98 99 100 102 105 106 107 108 110 111 +1 3 -1 -1 1 1 -3 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +1 1 1 -1 0 1 -1 0 -1 : 0 2 3 4 5 7 8 9 11 12 14 15 16 18 20 21 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1 : 0 1 2 3 4 5 6 7 9 10 11 12 13 14 17 18 19 20 21 22 27 28 29 30 31 32 36 37 39 40 42 43 44 46 47 48 49 51 52 54 55 56 57 59 60 61 63 64 66 67 68 70 71 72 73 75 76 77 79 80 82 83 84 85 87 88 90 91 92 94 95 96 97 99 103 104 105 106 107 108 +1 1 -1 0 1 0 0 -1 0 : 0 3 4 7 8 9 10 11 12 14 15 18 21 24 25 26 27 29 30 31 32 33 35 36 38 40 42 44 45 46 47 48 49 50 51 52 54 56 58 60 61 62 63 64 65 66 67 69 71 73 75 76 78 80 82 85 87 89 91 92 94 96 98 100 102 103 104 105 106 108 109 110 111 +1 3 -1 -1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 17 18 19 23 25 27 28 29 33 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 63 65 66 67 69 70 71 75 76 77 78 79 81 82 83 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 0 0 0 1 -2 0 0 : 0 1 2 3 4 5 6 7 8 9 14 15 16 17 22 23 26 27 32 33 36 37 38 39 40 41 44 45 46 47 48 49 52 53 54 55 56 57 60 61 62 63 64 65 68 69 70 71 72 73 76 77 78 79 80 81 84 85 86 87 88 89 92 93 94 95 96 97 100 101 103 104 105 106 107 108 109 110 111 +1 1 1 3 -1 -1 -1 3 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 31 35 36 37 38 40 42 44 46 48 50 51 52 53 55 57 59 61 63 65 66 67 69 70 71 72 73 74 76 77 78 80 82 84 85 86 87 88 89 91 92 93 95 97 99 100 101 102 103 104 105 107 111 +1 1 1 -1 3 -1 1 1 3 : 1 2 3 4 5 6 8 9 10 12 13 14 15 17 18 19 20 23 24 25 26 29 30 31 32 34 37 38 39 40 43 45 46 47 48 51 52 55 56 57 58 60 63 64 65 66 68 69 70 73 74 75 76 77 78 79 81 82 83 85 86 87 88 91 93 94 95 96 99 100 101 102 105 106 107 108 110 +1 3 -1 -1 1 1 1 3 1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 51 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 84 86 87 88 89 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +1 0 0 0 2 1 0 0 -1 : 1 2 4 5 7 8 9 10 11 12 13 14 15 16 19 20 23 25 26 29 30 33 34 36 37 38 39 41 42 44 47 48 49 50 51 52 53 54 55 56 59 61 62 64 65 66 67 68 69 70 71 72 75 77 78 80 81 82 83 84 85 86 87 89 90 92 95 96 97 98 99 101 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101 103 104 106 107 109 110 111 +1 1 1 -1 1 1 1 0 0 : 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 24 28 29 30 31 32 33 34 36 37 42 43 46 47 48 49 50 51 52 53 54 55 56 57 60 61 66 67 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 90 91 94 95 96 97 98 99 100 104 105 106 107 108 109 110 +1 1 3 -3 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 38 41 44 46 47 50 52 53 54 55 56 57 58 59 60 61 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 92 94 95 98 100 102 104 105 108 110 111 +1 0 2 0 0 -1 0 1 0 : 0 3 4 5 6 8 10 13 15 16 18 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 40 41 42 43 44 46 48 49 50 51 52 54 56 57 58 59 60 62 64 65 66 67 68 69 70 71 73 75 76 77 78 79 81 83 84 85 86 87 89 91 92 93 94 95 97 99 102 104 107 109 +1 0 0 0 1 -1 0 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 18 19 20 21 23 25 26 28 29 30 31 33 34 38 39 41 42 43 44 46 47 50 51 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 86 87 89 90 91 92 94 95 98 99 101 102 104 105 106 107 109 110 +1 0 2 1 0 1 0 0 0 : 4 5 6 7 8 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 60 61 62 63 72 73 74 75 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 102 109 111 +1 1 -3 -3 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 56 60 64 65 66 71 72 76 80 81 82 84 85 86 87 88 89 90 91 92 93 94 95 97 98 99 100 103 104 106 109 110 111 +1 0 1 0 1 0 -1 -1 0 : 1 2 3 4 7 8 9 10 11 12 15 17 18 21 22 24 26 27 28 29 30 33 34 35 37 38 39 41 42 43 44 47 48 51 53 54 55 57 58 59 60 63 64 67 68 71 72 75 76 77 78 80 81 82 84 87 88 91 92 93 94 96 97 98 101 103 104 107 108 110 +1 0 1 -1 0 0 1 0 -1 : 0 1 3 5 6 9 11 12 14 16 17 18 20 21 23 24 25 26 28 29 31 32 33 34 36 38 41 43 45 47 48 50 52 53 54 56 57 59 60 61 63 64 65 66 68 70 71 73 74 75 77 78 79 80 82 83 84 86 89 91 93 95 96 98 100 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93 98 100 101 102 103 104 105 106 107 108 109 111 +1 1 3 1 -1 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 31 32 33 34 35 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 60 63 65 66 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 91 92 95 97 98 99 101 105 106 107 108 109 111 +1 1 1 -1 3 1 1 1 -3 : 1 2 3 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 24 25 29 30 31 32 33 34 36 39 41 42 43 44 47 49 50 51 52 53 54 56 59 60 61 62 64 67 69 70 71 72 73 74 77 78 79 80 81 82 83 84 87 89 90 91 92 95 97 98 99 100 101 105 106 107 108 109 110 +1 0 2 0 -1 0 0 -1 0 : 0 3 4 7 8 9 11 12 13 14 15 18 21 24 25 26 27 28 29 30 31 32 33 34 35 37 39 41 43 44 45 46 47 48 49 50 51 53 55 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 78 80 82 84 85 86 87 88 89 90 91 92 94 96 98 101 104 107 110 +1 1 0 1 0 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 24 26 27 28 29 30 31 32 33 35 38 41 44 45 46 47 48 49 50 51 53 56 57 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 81 84 85 86 87 88 89 90 91 93 96 97 99 101 103 106 107 109 110 111 +1 3 -1 1 1 -1 1 -1 -3 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 27 29 30 31 33 37 38 40 41 43 44 46 47 49 50 52 54 55 57 58 60 61 62 63 64 66 67 68 69 71 72 74 75 77 78 80 81 83 85 86 88 89 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +1 0 0 0 2 1 0 0 1 : 1 2 4 6 7 8 9 10 11 12 13 14 15 16 19 20 23 25 26 29 30 33 34 36 37 38 39 40 43 45 46 48 49 50 51 52 53 54 55 57 58 60 63 64 65 66 67 68 69 70 71 73 74 76 79 80 81 82 83 84 85 86 87 88 91 93 94 96 97 98 99 101 102 105 106 109 110 +1 0 1 1 0 0 1 -1 0 : 0 1 2 4 7 9 10 13 14 16 18 19 20 22 23 25 26 28 29 30 32 33 34 35 36 37 39 40 41 43 44 45 47 48 49 51 53 54 57 58 61 62 65 66 69 70 73 74 77 78 81 82 84 86 87 88 90 91 92 94 95 96 98 99 100 103 104 107 108 111 +1 1 -1 1 -1 -1 0 0 -1 : 1 2 4 6 7 9 10 12 13 14 15 16 17 18 19 21 22 24 27 28 30 31 32 33 34 36 37 38 39 40 43 44 47 48 51 52 53 54 55 56 57 58 59 60 61 62 63 64 67 68 71 72 75 76 79 80 81 82 83 84 85 86 87 88 91 92 95 96 99 101 102 103 104 105 107 108 111 +1 1 1 3 1 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 24 26 27 28 29 33 34 35 39 40 41 42 43 44 48 49 50 51 52 53 54 55 59 60 61 62 63 64 68 72 73 74 75 76 77 78 81 82 83 84 85 86 87 88 92 93 94 95 96 97 98 100 102 103 104 105 109 110 111 +1 1 0 0 -2 0 -1 0 0 : 0 1 2 3 8 9 10 11 12 13 14 15 17 22 25 27 32 34 36 37 38 39 40 41 42 43 46 47 50 51 52 53 54 55 56 57 58 59 62 63 66 67 68 69 70 71 72 73 74 75 78 79 82 83 84 85 86 87 88 89 90 91 94 95 98 99 100 101 102 103 104 105 106 107 109 110 111 +1 0 1 -1 -1 0 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 24 25 26 27 30 31 33 36 37 38 39 41 44 45 46 47 50 52 53 54 55 58 60 61 62 63 64 66 67 68 69 70 71 72 73 75 76 77 78 79 81 84 85 86 87 89 92 93 94 95 98 100 101 103 104 105 106 107 108 110 111 +1 1 0 -1 0 -1 0 0 -1 : 1 2 4 6 7 8 11 12 15 17 18 20 21 22 23 24 26 29 30 33 35 36 37 38 39 40 43 44 45 46 47 49 50 52 55 56 59 61 62 65 66 68 69 70 71 73 74 76 77 78 79 80 83 85 86 89 90 92 95 96 99 100 101 102 103 104 105 107 108 110 +1 1 0 0 0 1 1 -1 0 : 0 1 2 4 5 6 8 9 10 13 14 15 16 17 18 21 22 23 26 27 28 31 32 33 37 38 40 42 43 45 46 48 50 51 53 54 56 58 59 61 62 64 66 67 69 70 72 74 75 77 78 80 82 83 85 86 88 90 91 93 94 96 98 99 100 101 104 105 106 108 109 110 111 +1 3 -1 1 1 3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 26 30 31 32 33 39 40 41 42 43 44 48 49 50 51 52 56 57 58 59 60 61 62 64 65 66 67 69 70 71 72 73 74 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +1 1 1 3 -1 1 -1 -1 -3 : 1 2 3 4 5 6 8 11 12 13 14 16 17 18 19 21 22 23 24 25 27 28 29 30 33 35 36 39 40 41 42 45 46 47 48 51 52 55 56 57 58 61 62 63 64 67 68 69 70 73 74 75 76 79 80 81 82 84 85 86 88 89 90 91 92 95 96 97 98 100 101 103 104 105 106 109 111 +1 0 1 1 -1 1 -1 0 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 25 27 28 30 31 33 35 37 38 39 41 43 44 45 46 47 49 50 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 84 85 87 88 89 90 91 93 95 96 97 99 100 101 102 103 105 106 108 109 110 111 +1 1 -1 3 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 26 27 28 30 34 35 36 43 44 45 46 48 52 53 54 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 72 76 77 78 79 80 81 82 85 86 87 88 89 90 91 95 97 98 99 100 101 105 107 108 109 111 +1 1 1 -1 1 0 0 0 0 : 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 +1 3 -1 1 -1 1 1 1 3 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 26 27 28 29 30 34 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 59 60 63 65 66 67 68 69 70 72 75 77 78 79 80 81 82 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 -1 -1 3 -3 1 -1 1 : 0 2 4 5 6 7 8 9 10 11 12 13 14 16 17 19 21 23 25 26 27 29 31 33 34 35 36 38 39 40 41 43 44 45 46 47 48 50 51 54 56 57 58 59 60 61 62 63 66 70 72 73 74 75 76 77 78 79 82 85 88 89 90 91 92 93 94 95 97 100 101 102 104 106 108 109 110 +1 1 0 1 0 0 -2 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 22 23 24 27 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 88 89 92 93 96 97 101 102 103 104 105 106 107 108 109 110 111 +1 0 1 1 0 2 0 0 0 : 4 5 6 7 8 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 44 45 46 47 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 88 89 90 91 96 97 98 99 100 102 109 111 +1 1 0 -2 0 0 1 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 22 23 24 27 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 56 57 60 61 64 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 88 89 92 93 96 97 100 101 102 104 105 106 107 108 109 110 111 +1 1 0 1 0 0 0 -1 -1 : 0 1 2 3 4 5 6 7 10 11 12 13 16 17 18 19 22 23 24 28 29 30 31 35 38 39 40 41 44 45 50 51 52 54 55 56 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49 51 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 85 86 87 88 89 90 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +1 1 -1 -3 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 26 28 30 32 34 35 36 37 38 39 40 41 42 43 44 45 47 48 49 50 51 54 57 60 62 63 66 68 69 71 72 73 74 75 77 80 81 83 84 86 87 90 92 93 94 95 96 98 99 100 101 103 105 107 109 111 +1 1 0 1 0 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 61 64 65 67 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 97 98 99 101 103 105 107 109 110 111 +1 0 2 0 -1 0 1 0 0 : 0 1 2 3 8 9 10 11 12 13 15 17 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 40 41 44 45 46 47 48 49 50 51 52 53 56 57 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 78 79 82 83 84 85 86 87 88 89 90 91 94 95 98 99 101 103 108 110 +1 1 3 -3 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 36 37 38 40 44 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 111 +1 1 3 1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 43 45 48 49 51 53 56 57 59 62 65 68 70 71 74 76 77 78 79 80 82 83 84 85 86 87 88 90 91 92 93 94 95 96 97 98 99 102 104 105 108 110 111 +1 1 0 -1 0 0 -2 0 0 : 0 1 2 3 9 14 16 17 18 19 20 21 22 23 24 27 32 35 36 37 40 41 44 45 48 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 72 73 76 77 80 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 +1 3 -1 1 1 -1 -1 -1 3 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 60 61 62 63 64 65 66 69 70 71 72 73 74 76 79 81 82 83 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +1 1 1 -1 1 -1 0 1 0 : 0 3 4 5 6 8 9 11 12 13 14 17 18 19 20 22 23 24 26 27 29 30 31 32 34 37 39 40 42 44 45 46 47 49 51 52 54 56 57 58 59 61 63 64 66 68 69 70 71 73 75 76 77 78 79 80 81 82 83 85 87 88 90 92 93 94 95 97 99 100 102 103 105 106 107 108 110 +1 1 1 0 0 0 0 0 2 : 1 2 5 6 11 12 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 72 75 76 79 81 82 84 87 89 90 93 94 96 99 100 101 102 103 104 105 106 107 108 109 110 111 +1 1 -1 -1 3 -3 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 12 13 14 16 20 21 22 23 25 26 30 31 32 33 34 35 36 37 38 41 42 43 44 45 46 47 48 49 50 52 56 57 58 59 60 61 62 63 64 68 72 73 74 75 76 77 78 79 80 87 88 89 90 91 92 93 94 95 99 100 101 102 103 104 105 109 110 +1 1 1 1 -3 -1 1 -3 -1 : 0 1 3 4 6 7 8 9 11 12 13 14 15 16 18 19 21 22 25 26 28 29 31 32 34 35 36 38 40 41 42 45 47 48 49 51 52 54 55 56 58 61 62 63 65 67 68 70 71 72 74 77 78 79 81 83 84 85 86 87 88 90 91 92 93 94 97 98 99 101 102 104 105 107 108 110 111 +1 1 0 -1 0 -1 0 0 1 : 1 2 4 5 7 8 11 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32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 48 52 53 54 55 56 57 58 59 60 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 95 97 98 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 -1 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 26 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 52 53 54 55 56 60 61 62 63 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 91 92 93 94 95 97 98 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 -1 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 27 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 49 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 85 88 89 91 92 93 95 96 97 98 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 -1 -1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 28 29 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 50 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 48 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 87 89 90 91 93 94 95 96 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 73 77 82 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 28 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 90 94 96 98 99 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 25 28 30 32 33 34 35 36 37 38 39 40 41 42 43 44 45 47 49 52 53 54 55 56 57 58 59 61 66 68 69 70 71 72 73 74 75 77 82 84 85 86 87 88 89 90 91 94 96 98 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 -1 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 26 28 30 32 33 34 35 36 37 38 39 40 41 43 44 45 46 47 49 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 85 86 87 90 92 93 94 95 96 98 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 27 28 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 48 49 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 84 85 88 89 90 92 93 94 96 97 98 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 -1 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 28 29 30 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 50 52 53 55 57 58 61 62 64 66 67 68 69 71 73 74 77 78 80 82 83 85 86 88 90 91 92 94 95 96 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 1 1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 28 30 31 32 33 34 35 36 37 38 39 40 41 43 44 45 47 49 51 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 85 87 89 90 91 93 94 95 96 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 17 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 71 74 78 81 86 89 93 96 97 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 -1 1 1 -1 1 1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 27 30 31 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 93 96 97 99 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 25 27 30 31 33 34 35 36 37 38 39 40 41 42 43 44 46 47 50 52 53 54 55 56 57 58 59 62 65 68 69 70 71 72 73 74 75 78 81 84 85 86 87 88 89 90 91 93 96 97 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 26 27 30 31 33 34 35 36 37 38 39 40 42 43 44 45 46 47 50 52 53 54 55 58 60 61 62 63 65 68 69 70 71 74 76 77 78 79 81 84 85 86 87 89 92 93 94 95 96 97 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 1 -1 -1 1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 27 28 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 48 50 52 54 55 56 58 60 62 64 65 66 68 70 71 72 74 76 78 80 81 82 84 86 88 89 90 92 93 94 96 97 98 99 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 27 29 30 31 33 34 35 36 37 38 39 40 42 43 44 46 47 49 50 52 54 55 57 58 61 62 64 65 67 68 70 71 73 74 77 78 80 81 83 85 86 88 89 91 92 93 95 96 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 -1 -1 1 1 1 1 1 1 1 1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 27 30 31 32 33 34 35 36 37 38 39 40 42 43 44 46 47 50 51 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 86 87 89 90 91 93 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 75 79 80 87 88 92 96 97 98 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 27 28 29 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 59 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 88 92 96 97 98 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 -1 1 1 1 1 1 1 -1 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 25 27 28 29 33 34 35 36 37 38 39 40 41 42 43 45 46 47 51 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 92 96 97 98 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 -1 1 1 1 1 1 1 1 -1 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 26 27 28 29 33 34 35 36 37 38 39 41 42 43 44 45 46 47 51 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 88 92 93 94 95 96 97 98 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 1 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 27 28 29 30 33 34 35 36 37 38 39 41 42 43 45 46 47 48 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 87 88 89 90 92 93 94 96 97 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 1 -1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 27 28 29 31 33 34 35 36 37 38 39 41 42 43 45 46 47 49 51 53 54 55 57 59 61 63 64 65 67 69 70 71 73 75 77 79 80 81 83 85 87 88 89 91 92 93 95 96 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 1 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 27 28 29 32 33 34 35 36 37 38 39 41 42 43 45 46 47 50 51 53 54 55 58 59 62 63 64 66 67 69 70 71 74 75 78 79 80 82 83 86 87 88 90 91 92 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 72 73 74 79 80 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 -1 1 -1 1 1 1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 26 30 31 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 88 93 94 95 99 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 25 26 30 31 32 34 35 36 37 38 39 40 41 42 43 44 48 49 50 52 53 54 55 56 57 58 59 63 64 68 69 70 71 72 73 74 75 79 80 84 85 86 87 88 89 90 91 93 94 95 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 -1 1 1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 26 27 30 31 32 34 35 36 37 38 40 41 42 43 44 45 48 49 50 52 53 56 57 58 60 61 63 64 65 68 69 72 73 74 76 77 79 80 81 84 85 87 88 89 92 93 94 95 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 26 28 30 31 32 34 35 36 37 38 40 41 42 43 44 46 48 49 50 52 54 56 57 58 60 62 63 64 66 68 70 72 73 74 76 78 79 80 82 84 86 87 88 90 92 93 94 95 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 1 1 -1 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 26 29 30 31 32 34 35 36 37 38 40 41 42 43 44 47 48 49 50 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 85 86 87 88 91 92 93 94 95 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 1 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 26 30 31 32 33 34 35 36 37 38 40 41 42 43 44 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 87 88 89 90 91 93 94 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 72 73 75 78 81 86 89 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 1 1 1 1 -1 1 -1 1 -1 -1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 26 28 29 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 89 92 94 95 98 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 1 -1 1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 25 26 28 29 32 34 35 36 37 38 39 40 41 42 43 45 48 49 51 52 53 54 55 56 57 58 59 62 65 68 69 70 71 72 73 74 75 78 81 84 85 86 87 88 89 90 91 92 94 95 98 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 -1 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 26 27 28 29 32 34 35 36 37 39 40 41 42 43 44 45 48 49 51 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 84 85 86 88 89 92 93 94 95 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 1 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 26 28 29 30 32 34 35 36 37 39 40 41 42 43 45 46 48 49 51 53 54 56 57 59 60 62 63 65 66 69 70 72 73 75 76 78 79 81 82 84 86 87 89 90 92 93 94 95 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 1 1 -1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 26 28 29 31 32 34 35 36 37 39 40 41 42 43 45 47 48 49 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 85 86 87 89 91 92 93 94 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 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55 56 57 58 59 61 66 68 69 70 71 72 73 74 75 77 82 84 85 86 87 88 89 90 91 92 93 95 97 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 -1 -1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 26 27 28 29 31 34 35 36 38 39 40 41 42 43 44 46 48 50 51 52 54 56 58 59 60 61 62 64 66 68 70 72 74 75 76 77 78 80 82 84 85 86 88 90 92 93 94 95 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 1 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 26 27 29 30 31 34 35 36 38 39 40 41 42 43 45 46 48 50 51 53 54 56 58 59 60 61 63 65 66 69 70 72 74 75 76 77 79 81 82 84 85 87 89 90 92 93 94 95 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 -1 1 1 1 1 1 -1 1 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 26 27 29 31 32 34 35 36 38 39 40 41 42 43 46 47 48 50 51 54 55 56 58 59 61 62 63 66 67 70 71 72 74 75 77 78 79 82 83 85 86 87 90 91 92 93 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 -1 1 1 1 1 1 1 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 26 27 29 31 33 34 35 36 38 39 40 41 42 43 46 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 85 88 89 90 91 92 93 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 1 -1 1 -1 1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 73 74 75 76 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 1 -1 1 1 -1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 26 27 28 30 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 57 58 59 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 -1 1 1 1 -1 1 1 1 -1 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 25 26 27 28 30 34 35 36 37 38 39 40 41 42 43 47 49 50 51 52 53 54 55 56 57 58 59 60 67 68 69 70 71 72 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 96 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 -1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 -1 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 26 27 28 29 30 34 35 37 38 39 40 41 42 43 44 47 49 50 51 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 84 85 86 88 91 92 93 94 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 -1 1 1 1 -1 1 1 1 1 -1 -1 1 1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 26 27 28 30 31 34 35 37 38 39 40 41 42 43 45 47 49 50 51 53 55 57 58 59 60 61 63 65 67 69 71 73 74 75 76 77 79 81 83 84 85 87 89 91 92 93 94 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 1 -1 1 1 1 1 -1 1 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 26 27 28 30 32 34 35 37 38 39 40 41 42 43 46 47 49 50 51 54 55 57 58 59 60 62 63 66 67 70 71 73 74 75 76 78 79 82 83 84 86 87 90 91 92 93 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 -1 1 1 1 -1 1 1 1 1 1 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 26 27 28 30 33 34 35 37 38 39 40 41 42 43 47 48 49 50 51 55 56 57 58 59 60 64 65 66 67 71 72 73 74 75 76 80 81 82 83 84 88 89 90 91 92 93 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 76 77 78 80 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 30 31 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 87 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 -1 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 25 26 30 31 32 33 35 36 37 38 39 40 44 45 46 47 48 49 50 52 53 54 55 59 60 61 62 63 64 68 69 70 71 75 76 77 78 79 80 84 85 86 87 89 90 91 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 1 1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 25 27 30 31 32 33 35 36 37 38 40 41 44 45 46 47 48 49 50 52 53 56 57 59 60 61 62 64 65 68 69 72 73 75 76 77 78 80 81 84 85 87 88 89 90 91 92 93 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 1 -1 1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 25 28 30 31 32 33 35 36 37 38 40 42 44 45 46 47 48 49 50 52 54 56 58 59 60 61 62 64 66 68 70 72 74 75 76 77 78 80 82 84 86 87 88 89 90 91 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 1 -1 1 1 1 -1 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 25 29 30 31 32 33 35 36 37 38 40 43 44 45 46 47 48 49 50 52 55 57 58 59 60 61 62 64 67 68 71 73 74 75 76 77 78 80 83 85 86 87 88 89 90 91 92 95 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 25 30 31 32 33 34 35 36 37 38 40 44 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 75 76 77 78 79 80 81 82 83 87 89 90 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 1 1 -1 -1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 25 28 29 32 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 60 61 63 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 86 88 90 91 93 98 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 -1 -1 1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 25 26 28 29 32 33 35 36 37 38 39 41 44 45 46 47 48 49 51 52 53 54 55 58 60 61 62 63 65 68 69 70 71 74 76 77 78 79 81 84 85 86 87 88 90 91 92 93 94 95 98 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 1 1 -1 1 -1 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 25 27 28 29 32 33 35 36 37 39 40 41 44 45 46 47 48 49 51 52 53 56 57 58 60 61 63 64 65 68 69 72 73 74 76 77 79 80 81 84 85 86 88 89 90 91 92 93 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 1 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 25 28 29 30 32 33 35 36 37 39 41 42 44 45 46 47 48 49 51 53 54 56 58 59 60 61 63 65 66 69 70 72 74 75 76 77 79 81 82 84 86 87 88 89 90 91 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 1 1 -1 1 1 1 -1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 25 28 29 31 32 33 35 36 37 39 41 43 44 45 46 47 48 49 51 53 55 57 58 59 60 61 63 65 67 69 71 73 74 75 76 77 79 81 83 85 86 87 88 89 90 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 25 28 29 32 33 34 35 36 37 39 41 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 69 74 76 77 78 79 80 81 82 83 86 88 90 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 85 88 89 91 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 25 27 29 31 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 60 62 63 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 88 89 91 94 97 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 25 26 27 29 31 33 35 36 37 38 39 42 44 45 46 47 48 50 51 52 53 54 55 57 60 61 62 63 66 68 69 70 71 73 76 77 78 79 82 84 85 86 87 88 89 91 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 -1 -1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 25 27 28 29 31 33 35 36 38 39 40 42 44 45 46 47 48 50 51 52 54 56 57 58 60 62 63 64 66 68 70 72 73 74 76 78 79 80 82 84 85 86 88 89 90 91 92 94 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 1 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 25 27 29 30 31 33 35 36 38 39 41 42 44 45 46 47 48 50 51 53 54 56 57 59 60 62 63 65 66 69 70 72 73 75 76 78 79 81 82 84 85 87 88 89 90 91 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 1 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 25 27 29 31 32 33 35 36 38 39 42 43 44 45 46 47 48 50 51 54 55 57 58 59 60 62 63 66 67 70 71 73 74 75 76 78 79 82 83 85 86 87 88 89 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 25 27 29 31 33 34 35 36 38 39 42 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 85 88 89 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 84 88 89 90 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 1 : 1 3 4 6 8 11 13 14 16 17 18 19 20 21 22 23 24 25 27 28 30 33 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 56 61 62 63 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 88 89 90 95 96 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 -1 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 25 26 27 28 30 33 35 36 37 38 39 43 44 45 46 47 49 50 51 52 53 54 55 56 60 61 62 63 67 68 69 70 71 72 76 77 78 79 83 84 85 86 87 88 89 90 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 -1 -1 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 25 27 28 29 30 33 35 37 38 39 40 43 44 45 46 47 49 50 51 52 55 56 57 58 61 62 63 64 67 68 71 72 73 74 77 78 79 80 83 84 85 86 88 89 90 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 25 27 28 30 31 33 35 37 38 39 41 43 44 45 46 47 49 50 51 53 55 56 57 59 61 62 63 65 67 69 71 72 73 75 77 78 79 81 83 84 85 87 88 89 90 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 1 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 25 27 28 30 32 33 35 37 38 39 42 43 44 45 46 47 49 50 51 54 55 56 58 59 61 62 63 66 67 70 71 72 74 75 77 78 79 82 83 84 86 87 88 89 90 91 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 25 27 28 30 33 34 35 37 38 39 43 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 84 88 89 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 76 80 81 82 85 86 87 91 95 96 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 25 26 29 31 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 55 56 60 64 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 85 86 87 91 95 96 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 25 26 27 29 31 32 35 36 37 40 41 42 44 45 46 48 49 50 51 52 53 55 56 57 60 61 64 65 66 68 69 71 72 73 76 77 80 81 82 84 85 86 87 88 89 91 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 25 26 28 29 31 32 35 36 38 40 41 42 44 45 46 48 49 50 51 52 54 55 56 58 60 62 64 65 66 68 70 71 72 74 76 78 80 81 82 84 85 86 87 88 90 91 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 1 1 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 25 26 29 30 31 32 35 36 39 40 41 42 44 45 46 48 49 50 51 53 54 55 56 59 60 63 64 65 66 69 70 71 72 75 76 79 80 81 82 84 85 86 87 89 90 91 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 1 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 25 26 29 31 32 33 35 36 40 41 42 43 44 45 46 48 49 50 51 55 56 57 58 59 60 64 65 66 67 71 72 73 74 75 76 80 81 82 83 85 86 87 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 25 26 29 31 32 34 35 36 40 41 42 44 45 46 47 48 49 50 51 55 56 60 61 62 63 64 65 66 67 71 72 76 77 78 79 80 81 82 83 85 86 87 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 25 26 28 30 32 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 54 57 61 64 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 86 87 90 94 97 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 1 -1 1 -1 1 1 1 -1 -1 -1 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 25 26 27 28 30 32 35 36 37 40 41 43 44 45 47 48 49 50 51 52 53 54 56 57 60 61 64 65 67 68 69 70 72 73 76 77 80 81 83 84 85 86 87 88 89 90 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 1 1 -1 -1 1 -1 -1 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 25 26 28 29 30 32 35 37 38 40 41 43 44 45 47 48 49 50 51 52 54 55 57 58 61 62 64 65 67 68 70 71 73 74 77 78 80 81 83 84 85 86 87 88 90 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 1 1 -1 -1 1 1 1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 25 26 28 30 31 32 35 37 39 40 41 43 44 45 47 48 49 50 51 53 54 55 57 59 61 63 64 65 67 69 70 71 73 75 77 79 80 81 83 84 85 86 87 89 90 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 1 1 -1 1 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 25 26 28 30 32 33 35 37 40 41 42 43 44 45 47 48 49 50 51 54 56 57 58 59 61 64 65 66 67 70 72 73 74 75 77 80 81 82 83 84 86 87 88 89 90 91 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 25 26 28 30 32 34 35 37 40 41 43 44 45 46 47 48 49 50 51 54 57 60 61 62 63 64 65 66 67 70 73 76 77 78 79 80 81 82 83 84 86 87 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 30 31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 53 58 62 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 87 89 93 98 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 -1 -1 1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 25 26 27 28 30 31 35 36 38 40 42 43 44 46 47 48 49 50 51 52 53 54 56 58 60 62 64 66 67 68 69 70 72 74 76 78 80 82 83 84 85 86 87 88 89 90 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 25 26 27 29 30 31 35 37 38 40 42 43 44 46 47 48 49 50 51 52 53 55 57 58 61 62 64 66 67 68 69 71 73 74 77 78 80 82 83 84 85 86 87 88 89 91 92 93 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 1 1 -1 -1 1 1 1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 25 26 27 30 31 32 35 38 39 40 42 43 44 46 47 48 49 50 51 53 54 55 58 59 62 63 64 66 67 69 70 71 74 75 78 79 80 82 83 84 85 86 87 89 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 1 1 -1 1 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 25 26 27 30 31 33 35 38 40 41 42 43 44 46 47 48 49 50 51 53 56 57 58 59 62 64 65 66 67 69 72 73 74 75 78 80 81 82 83 84 85 87 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 -1 -1 1 1 1 1 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 16 17 20 21 25 26 27 30 31 34 35 38 40 42 43 44 45 46 47 48 49 50 51 53 58 60 61 62 63 64 65 66 67 69 74 76 77 78 79 80 81 82 83 84 85 87 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 -1 1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 79 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 : 2 3 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 88 92 99 100 101 102 103 104 105 106 107 108 109 110 +2 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 1 : 1 2 3 5 6 7 11 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 35 36 39 41 42 43 45 46 47 48 49 50 51 52 53 54 56 59 60 63 65 66 67 68 69 70 72 75 76 79 81 82 83 84 85 86 87 88 89 90 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 1 -1 : 0 2 3 4 6 7 10 12 13 14 15 16 17 18 19 21 25 26 27 28 29 31 35 37 39 41 42 43 45 46 47 48 49 50 51 52 53 55 57 59 61 63 65 66 67 68 69 71 73 75 77 79 81 82 83 84 85 86 87 88 89 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 25 26 27 28 29 32 35 38 39 41 42 43 45 46 47 48 49 50 51 52 54 55 58 59 62 63 65 66 67 68 70 71 74 75 78 79 81 82 83 84 85 86 87 88 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 1 1 -1 1 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 25 26 27 28 29 33 35 39 40 41 42 43 45 46 47 48 49 50 51 52 56 57 58 59 63 64 65 66 67 68 72 73 74 75 79 80 81 82 83 84 85 86 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 -1 1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 34 35 39 41 42 43 44 45 46 47 48 49 50 51 52 59 60 61 62 63 64 65 66 67 68 75 76 77 78 79 80 81 82 83 84 85 86 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 -1 1 1 1 1 : 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 30 31 32 33 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 64 68 69 70 71 72 73 74 75 79 81 82 83 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 -1 1 1 1 : 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 23 24 26 30 31 32 33 34 36 37 38 39 40 44 45 46 47 51 52 53 54 55 56 57 58 60 61 62 63 64 68 69 70 71 75 76 77 78 79 81 82 83 84 85 86 87 88 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 1 1 : 0 1 2 3 6 7 9 12 13 14 15 16 17 18 19 22 24 27 30 31 32 33 34 36 37 38 40 41 44 45 48 49 51 52 53 54 55 56 57 58 60 61 62 64 65 68 69 72 73 75 76 77 79 80 81 82 83 84 85 86 88 89 92 93 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 -1 -1 -1 -1 -1 1 1 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69 70 71 72 73 74 75 78 80 82 83 84 85 86 87 88 89 90 91 93 98 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 -1 1 -1 -1 : 0 1 4 5 6 7 8 10 11 14 15 16 17 20 21 23 24 26 28 29 32 33 34 36 37 38 39 41 44 45 46 47 50 52 53 54 55 56 57 59 60 61 62 63 65 68 69 70 71 74 76 77 78 79 80 82 83 84 85 86 87 89 92 93 94 95 98 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 1 -1 -1 -1 : 0 1 2 3 4 5 9 10 11 14 15 16 17 20 21 22 24 27 28 29 32 33 34 36 37 39 40 41 44 45 48 49 50 52 53 54 55 56 57 59 60 61 63 64 65 68 69 72 73 74 76 77 78 80 81 82 83 84 85 87 88 89 92 93 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 1 1 -1 1 : 0 1 2 4 5 6 10 11 12 14 15 16 17 19 20 21 24 28 29 30 32 33 34 36 37 39 41 42 45 46 48 50 51 52 53 54 55 56 57 59 60 61 63 65 66 69 70 72 74 75 76 78 79 80 81 82 83 84 85 87 89 90 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 1 1 1 -1 : 0 1 3 4 5 7 10 11 13 14 15 16 17 18 20 21 24 28 29 31 32 33 34 36 37 39 41 43 45 47 49 50 51 52 53 54 55 56 57 59 60 61 63 65 67 69 71 73 74 75 77 78 79 80 81 82 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 16 17 18 19 20 21 22 23 24 28 29 32 33 34 35 36 37 39 41 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 78 80 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 : 0 2 5 7 8 9 10 11 12 13 14 15 16 18 20 22 24 25 27 29 31 33 34 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 60 62 63 66 68 69 70 71 72 73 74 75 77 80 81 83 84 85 86 87 88 89 90 91 94 97 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 1 -1 : 0 2 4 5 6 7 8 9 11 13 15 16 18 20 22 23 24 26 27 29 31 33 34 36 37 38 39 42 44 45 46 47 49 52 53 54 55 56 58 59 60 61 62 63 66 68 69 70 71 73 76 77 78 79 80 81 83 84 85 86 87 90 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 1 -1 -1 -1 : 0 2 3 4 5 7 9 10 11 13 15 16 18 20 21 22 24 27 28 29 31 33 34 36 38 39 40 42 44 46 48 49 50 52 53 54 55 56 58 59 60 62 63 64 66 68 70 72 73 74 76 77 78 80 81 82 83 84 86 87 88 90 92 94 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 1 : 0 1 2 5 6 7 9 11 12 13 15 16 18 19 20 22 24 27 29 30 31 33 34 36 38 39 41 42 45 46 48 49 51 52 53 54 55 56 58 59 60 62 63 65 66 69 70 72 73 75 76 77 79 80 81 82 83 84 86 87 89 90 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 1 1 1 -1 : 0 1 2 3 5 7 9 11 13 14 15 16 17 18 20 22 24 27 29 31 32 33 34 36 38 39 42 43 46 47 49 50 51 52 53 54 55 56 58 59 60 62 63 66 67 70 71 73 74 75 77 78 79 80 81 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 16 17 18 19 20 21 22 23 24 27 29 31 33 34 35 36 38 39 42 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 77 80 81 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 1 : 1 3 4 6 8 9 10 11 12 13 14 15 16 19 21 22 24 25 27 28 30 33 34 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 61 62 63 67 68 69 70 71 72 73 74 75 76 80 81 82 84 85 86 87 88 89 90 91 95 96 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 -1 -1 -1 1 : 1 3 4 5 6 7 8 9 10 12 15 16 19 21 22 23 24 26 27 28 30 33 34 36 37 38 39 43 44 45 46 47 48 52 53 54 55 57 58 59 60 61 62 63 67 68 69 70 71 72 76 77 78 79 80 81 82 84 85 86 87 91 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 1 -1 -1 -1 : 1 2 3 4 5 6 9 10 11 12 15 16 19 20 21 22 24 27 28 29 30 33 34 37 38 39 40 43 44 47 48 49 50 52 53 54 55 57 58 59 61 62 63 64 67 68 71 72 73 74 76 77 78 80 81 82 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 : 0 1 3 4 6 7 9 10 12 13 15 16 18 19 21 22 24 27 28 30 31 33 34 37 38 39 41 43 45 47 48 49 51 52 53 54 55 57 58 59 61 62 63 65 67 69 71 72 73 75 76 77 79 80 81 82 83 85 86 87 89 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 1 1 -1 1 : 0 1 2 3 4 6 9 10 12 14 15 16 17 19 21 22 24 27 28 30 32 33 34 37 38 39 42 43 46 47 48 50 51 52 53 54 55 57 58 59 61 62 63 66 67 70 71 72 74 75 76 78 79 80 81 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 16 17 18 19 20 21 22 23 24 27 28 30 33 34 35 37 38 39 43 47 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 76 80 81 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 : 1 3 4 6 8 9 10 11 12 13 14 15 17 18 20 23 24 25 26 29 31 32 34 36 37 38 39 40 41 42 43 47 48 52 53 54 55 56 57 58 59 60 64 65 66 68 69 70 71 72 73 74 75 77 78 79 83 84 85 86 87 88 89 90 91 95 96 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 1 -1 : 0 1 2 3 4 6 8 9 11 13 14 17 18 20 22 23 24 26 27 29 31 32 34 36 37 40 41 42 44 45 47 48 49 52 53 54 56 57 58 59 60 61 64 65 66 68 69 71 72 73 76 77 78 79 80 81 83 84 85 88 89 90 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 -1 -1 : 0 1 3 4 6 7 8 10 11 13 14 17 18 20 21 23 24 26 28 29 31 32 34 36 38 40 41 42 44 46 47 48 50 52 53 54 56 57 58 59 60 62 64 65 66 68 70 71 72 74 76 77 78 79 80 82 83 84 86 88 89 90 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 1 : 1 2 3 4 5 6 8 11 12 13 14 17 18 19 20 23 24 26 29 30 31 32 34 36 39 40 41 42 45 46 47 48 51 52 53 54 56 57 58 59 60 63 64 65 66 69 70 71 72 75 76 77 78 79 81 82 83 84 87 88 89 90 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 1 1 1 -1 : 1 3 4 5 6 7 8 11 13 14 15 16 17 18 20 23 24 26 29 31 32 33 34 36 40 41 42 43 47 48 49 50 51 52 53 54 56 57 58 59 60 64 65 66 67 71 72 73 74 75 77 78 79 80 81 82 83 84 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 17 18 19 20 21 22 23 24 26 29 31 32 34 35 36 40 41 42 47 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 72 77 78 79 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 : 0 2 5 7 8 9 10 11 12 13 14 15 17 19 21 23 24 25 26 28 30 32 34 36 37 38 39 40 41 42 43 46 49 52 53 54 55 56 57 58 59 61 64 65 67 68 69 70 71 72 73 74 75 76 78 79 82 84 85 86 87 88 89 90 91 94 97 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 -1 -1 1 : 0 1 2 3 5 7 8 9 10 12 14 17 19 21 22 23 24 26 27 28 30 32 34 36 37 40 41 43 44 45 46 48 49 52 53 55 56 57 58 59 60 61 64 65 67 68 69 70 72 73 76 77 78 79 80 81 82 84 85 88 89 91 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 -1 : 0 1 2 5 6 7 8 10 11 12 14 17 19 20 21 23 24 26 28 29 30 32 34 37 38 40 41 43 44 46 47 49 50 52 53 55 56 57 58 59 61 62 64 65 67 68 70 71 73 74 76 77 78 79 80 82 83 85 86 88 89 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 1 1 : 0 2 3 4 5 7 8 10 12 13 14 17 18 19 21 23 24 26 28 30 31 32 34 37 39 40 41 43 45 46 47 49 51 52 53 55 56 57 58 59 61 63 64 65 67 69 70 71 73 75 76 77 78 79 81 82 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 : 0 2 4 5 6 7 8 10 12 14 15 16 17 19 21 23 24 26 28 30 32 33 34 37 40 41 42 43 46 48 49 50 51 52 53 55 56 57 58 59 61 64 65 66 67 70 72 73 74 75 76 78 79 80 81 82 83 85 88 89 90 91 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 17 18 19 20 21 22 23 24 26 28 30 32 34 35 37 40 41 43 46 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 73 76 78 79 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 1 : 0 1 4 5 8 9 10 11 12 13 14 15 18 19 22 23 24 25 26 27 30 31 34 36 37 38 39 40 41 42 43 45 50 52 53 54 55 56 57 58 59 62 64 66 67 68 69 70 71 72 73 74 75 76 77 79 81 84 85 86 87 88 89 90 91 93 98 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 -1 1 : 0 1 3 4 5 7 8 9 10 12 13 18 19 21 22 23 24 26 27 28 30 31 34 36 38 40 42 43 44 45 46 48 50 52 54 55 56 57 58 59 60 62 64 66 67 68 69 70 72 74 76 77 78 79 80 81 82 84 86 88 90 91 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 1 -1 : 0 1 2 4 5 6 8 9 11 12 13 18 19 20 22 23 24 26 27 29 30 31 34 37 38 40 42 43 44 45 47 49 50 52 54 55 56 57 58 59 61 62 64 66 67 68 69 71 73 74 76 77 78 79 80 81 83 85 86 88 90 91 92 93 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 1 1 1 : 0 1 2 3 4 5 8 9 12 13 14 17 18 19 22 23 24 26 27 30 31 32 34 38 39 40 42 43 45 46 47 50 51 52 54 55 56 57 58 59 62 63 64 66 67 69 70 71 74 75 76 77 78 79 81 82 83 86 87 88 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 -1 1 1 -1 1 1 : 0 1 4 5 6 7 8 9 12 13 15 16 18 19 22 23 24 26 27 30 31 33 34 38 40 41 42 43 45 48 49 50 51 52 54 55 56 57 58 59 62 64 65 66 67 69 72 73 74 75 76 77 79 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 18 19 20 21 22 23 24 26 27 30 31 34 35 38 40 42 43 45 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 74 76 77 79 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 34 36 37 38 39 40 41 42 43 44 51 52 53 54 55 56 57 58 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 80 84 85 86 87 88 89 90 91 92 99 100 101 102 103 104 105 106 107 108 109 111 +2 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 -1 1 : 1 2 3 5 6 7 8 9 10 11 12 19 20 21 22 23 24 26 27 28 29 30 34 36 39 41 42 43 44 45 46 48 51 53 54 55 56 57 58 59 60 63 65 66 67 68 69 70 72 75 76 77 78 79 80 81 82 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 1 -1 : 0 2 3 4 6 7 8 9 10 11 13 18 20 21 22 23 24 26 27 28 29 31 34 37 39 41 42 43 44 45 47 49 51 53 54 55 56 57 58 59 61 63 65 66 67 68 69 71 73 75 76 77 78 79 80 81 83 85 87 89 90 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 1 -1 -1 : 0 1 2 3 6 7 8 9 10 11 14 17 20 21 22 23 24 26 27 28 29 32 34 38 39 41 42 43 44 46 47 50 51 53 54 55 56 57 58 59 62 63 65 66 67 68 70 71 74 75 76 77 78 79 80 82 83 86 87 89 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 1 1 1 1 -1 1 1 -1 -1 -1 : 2 3 4 5 6 7 8 9 10 11 15 16 20 21 22 23 24 26 27 28 29 33 34 39 40 41 42 43 44 48 49 50 51 53 54 55 56 57 58 59 63 64 65 66 67 68 72 73 74 75 76 77 78 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 26 27 28 29 34 35 39 41 42 43 44 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 75 76 77 78 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 1 -1 : 1 3 4 5 6 7 8 9 10 12 15 16 17 18 20 23 24 25 26 29 31 32 33 36 37 38 39 43 44 45 46 47 48 52 53 54 55 56 60 61 62 63 64 65 66 68 69 70 71 73 74 75 76 77 78 79 83 84 85 86 87 91 92 93 94 95 96 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 : 0 1 2 3 5 7 8 9 10 12 14 16 17 18 20 22 24 25 27 29 31 32 33 36 37 40 41 43 44 45 46 48 49 52 53 54 56 57 60 61 62 63 64 65 66 68 69 71 72 73 74 75 76 77 80 81 83 84 85 88 89 91 92 93 94 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 : 0 1 3 4 5 7 8 9 10 12 13 16 17 18 20 21 24 25 28 29 31 32 33 36 38 40 42 43 44 45 46 48 50 52 53 54 56 58 60 61 62 63 64 65 66 68 70 71 72 73 74 75 76 78 80 82 83 84 86 88 90 91 92 93 94 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 1 : 1 2 3 5 6 7 8 9 10 11 12 16 17 18 19 20 24 25 29 30 31 32 33 36 39 41 42 43 44 45 46 48 51 52 53 54 56 59 60 61 62 63 64 65 66 69 70 71 72 73 74 75 76 79 81 82 83 84 87 89 90 91 92 93 94 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 -1 1 1 1 1 -1 : 1 3 5 7 8 9 10 11 12 13 14 15 16 17 18 20 24 25 29 31 32 33 34 36 43 44 45 46 47 48 49 50 51 52 53 54 56 60 61 62 63 64 65 66 67 71 73 74 75 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 -1 1 1 1 1 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 16 17 18 19 20 21 22 23 24 25 29 31 32 33 35 36 43 44 45 46 48 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 71 73 74 75 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 -1 1 : 0 2 4 5 6 7 8 9 11 13 15 16 17 19 21 23 24 25 26 28 30 32 33 36 37 38 39 42 44 45 46 47 49 52 53 54 55 57 60 61 62 63 64 65 67 68 69 70 71 72 74 75 76 77 78 79 82 84 85 86 87 90 92 93 94 95 97 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 1 : 0 1 2 3 4 6 8 9 11 13 14 16 17 19 21 22 24 25 27 28 30 32 33 36 37 40 41 42 44 45 47 48 49 52 53 55 56 57 60 61 62 63 64 65 67 68 69 70 72 73 74 75 76 77 80 81 82 84 85 88 89 90 92 93 95 96 97 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 : 0 1 2 4 5 6 8 9 11 12 13 16 17 19 20 21 24 25 28 29 30 32 33 37 38 40 42 43 44 45 47 49 50 52 53 55 57 58 60 61 62 63 64 65 67 68 70 71 72 73 74 75 77 78 80 82 83 85 86 88 90 91 92 93 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 1 1 1 : 0 2 3 4 6 7 8 9 10 11 13 16 17 18 19 21 24 25 28 30 31 32 33 37 39 41 42 43 44 45 47 49 51 52 53 55 57 59 60 61 62 63 64 65 67 69 70 71 72 73 74 75 77 79 81 82 83 85 87 89 90 91 92 93 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 : 0 2 4 6 8 9 10 11 12 13 14 15 16 17 19 21 24 25 28 30 32 33 34 37 42 44 45 46 47 48 49 50 51 52 53 55 57 60 61 62 63 64 65 66 67 70 72 74 75 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 16 17 18 19 20 21 22 23 24 25 28 30 32 33 35 37 42 44 45 47 49 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 70 72 74 75 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 1 1 : 0 1 4 5 6 7 8 10 11 14 15 16 18 19 22 23 24 25 26 27 30 31 33 36 37 38 39 41 44 45 46 47 50 52 53 54 55 58 60 61 62 63 64 66 67 68 69 70 71 72 73 75 76 77 78 79 81 84 85 86 87 89 92 93 94 95 98 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 -1 1 : 0 1 3 4 6 7 8 10 11 13 14 16 18 19 21 22 24 25 27 28 30 31 33 36 38 40 41 42 44 46 47 48 50 52 54 55 56 58 60 61 62 63 64 66 67 68 69 70 72 73 74 75 76 78 80 81 82 84 86 88 89 90 92 94 95 96 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 : 0 1 2 5 6 7 8 10 11 12 14 16 18 19 20 22 24 25 27 29 30 31 33 37 38 40 41 43 44 46 47 49 50 52 54 55 57 58 60 61 62 63 64 66 67 68 69 71 72 73 74 75 77 78 80 81 83 85 86 88 89 91 92 94 95 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 1 1 1 1 : 0 1 2 3 6 7 8 9 10 11 14 16 17 18 19 22 24 25 27 30 31 32 33 38 39 41 42 43 44 46 47 50 51 52 54 55 58 59 60 61 62 63 64 66 67 69 70 71 72 73 74 75 78 79 81 82 83 86 87 89 90 91 92 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 -1 1 1 -1 1 1 : 0 1 6 7 8 9 10 11 12 13 14 15 16 18 19 22 24 25 27 30 31 33 34 38 41 44 45 46 47 48 49 50 51 52 54 55 58 60 61 62 63 64 65 66 67 69 72 73 75 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 16 17 18 19 20 21 22 23 24 25 27 30 31 33 35 38 41 44 46 47 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 72 73 75 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 : 2 3 4 5 6 7 8 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 33 36 37 38 39 40 44 45 46 47 51 52 53 54 55 59 60 61 62 63 65 66 67 68 69 70 71 72 73 74 76 77 78 79 80 84 85 86 87 88 92 93 94 95 99 100 101 102 103 104 105 106 107 108 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 -1 -1 1 : 1 2 3 4 5 6 8 11 12 13 14 16 19 20 21 22 24 25 27 28 29 30 33 36 39 40 41 42 45 46 47 48 51 53 54 55 56 59 60 61 62 63 65 66 67 68 69 70 72 73 74 75 76 79 80 81 82 84 87 88 89 90 93 94 95 96 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 -1 1 -1 : 0 2 3 4 5 7 8 10 12 13 14 16 18 20 21 22 24 25 27 28 29 31 33 37 39 40 41 43 45 46 47 49 51 53 54 55 57 59 60 61 62 63 65 66 67 68 69 71 72 73 74 75 77 79 80 81 83 85 87 88 89 91 93 94 95 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 1 -1 -1 : 0 1 2 3 4 5 8 9 12 13 14 16 17 20 21 22 24 25 27 28 29 32 33 38 39 40 42 43 45 46 47 50 51 53 54 55 58 59 60 61 62 63 65 66 67 68 70 71 72 73 74 75 78 79 80 82 83 86 87 88 90 91 93 94 95 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 : 2 3 4 5 8 9 10 11 12 13 14 15 16 20 21 22 24 25 27 28 29 33 34 39 40 44 45 46 47 48 49 50 51 53 54 55 59 60 61 62 63 64 65 66 67 68 72 73 74 76 77 78 79 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 16 17 18 19 20 21 22 23 24 25 27 28 29 33 35 39 40 45 46 47 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 72 73 74 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 -1 1 1 : 0 1 2 3 4 5 9 10 11 14 15 17 18 19 22 23 24 25 26 27 30 31 32 36 37 39 40 41 44 45 48 49 50 52 53 56 57 58 60 61 62 64 65 66 67 68 69 70 71 72 73 75 76 77 79 80 81 84 85 87 88 89 92 93 96 97 98 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 : 0 2 3 4 5 7 9 10 11 13 15 17 18 19 21 23 24 25 26 28 30 31 32 36 38 39 40 42 44 46 48 49 50 52 54 56 57 58 60 61 62 64 65 66 67 68 69 70 71 72 74 75 76 78 79 80 82 84 86 87 88 90 92 94 96 97 98 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 : 1 2 3 4 5 6 9 10 11 12 15 17 18 19 20 23 24 25 26 29 30 31 32 37 38 39 40 43 44 47 48 49 50 52 55 56 57 58 60 61 62 64 65 66 67 68 69 70 71 73 74 75 77 78 79 80 83 85 86 87 88 91 92 95 96 97 98 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 -1 -1 1 1 1 1 : 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 23 24 25 26 30 31 32 33 39 40 41 42 43 44 48 49 50 51 52 56 57 58 59 60 61 62 64 65 66 67 69 70 71 72 73 74 75 79 80 81 82 83 87 88 89 90 91 92 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 -1 1 -1 1 1 1 : 2 3 4 5 8 9 10 11 12 13 14 15 17 18 19 23 24 25 26 30 31 32 34 39 40 44 45 46 47 48 49 50 51 52 56 57 58 60 61 62 63 64 65 66 67 69 70 71 75 76 77 78 79 80 81 82 83 87 88 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 30 31 32 35 39 40 44 48 49 50 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 69 70 71 75 79 80 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 : 0 1 2 3 6 7 9 12 13 14 15 17 20 21 22 23 24 25 26 27 28 29 32 36 37 38 40 41 44 45 48 49 51 52 53 56 57 59 60 61 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 81 84 85 86 88 89 92 93 96 97 99 100 101 102 103 104 105 106 107 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 : 0 1 2 5 6 7 9 11 12 13 15 17 19 20 21 23 24 25 26 28 29 30 32 36 38 39 41 42 45 46 48 49 51 53 54 56 57 59 60 61 63 64 65 66 67 68 69 70 71 72 74 75 76 78 79 81 82 84 86 87 89 90 93 94 96 97 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 1 1 -1 : 0 1 3 4 6 7 9 10 12 13 15 17 18 20 21 23 24 25 26 28 29 31 32 37 38 39 41 43 45 47 48 49 51 53 55 56 57 59 60 61 63 64 65 66 67 68 69 70 71 73 74 75 77 78 79 81 83 85 86 87 89 91 93 95 96 97 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 -1 -1 1 1 -1 -1 : 0 1 4 5 6 7 8 9 12 13 15 16 17 20 21 23 24 25 26 28 29 32 33 38 40 41 42 43 45 48 49 50 51 53 56 57 58 59 60 61 63 64 65 66 67 68 70 71 72 73 74 75 78 80 81 82 83 86 88 89 90 91 93 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 -1 1 -1 1 -1 -1 : 0 1 6 7 8 9 10 11 12 13 14 15 17 20 21 23 24 25 26 28 29 32 34 38 41 44 45 46 47 48 49 50 51 53 56 57 59 60 61 62 63 64 65 66 67 68 70 71 74 76 77 78 79 80 81 82 83 86 89 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 -1 1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 17 18 19 20 21 22 23 24 25 26 28 29 32 35 38 41 45 48 49 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 70 71 74 78 81 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 -1 -1 -1 : 0 2 3 4 6 7 10 12 13 14 15 18 20 21 22 23 24 25 26 27 28 29 31 36 37 38 40 42 44 46 48 50 51 52 54 56 58 59 60 62 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 82 84 85 86 88 90 92 94 96 98 99 100 101 102 103 104 105 106 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 -1 1 1 : 0 1 2 4 5 6 10 11 12 14 15 18 19 20 22 23 24 25 26 27 29 30 31 36 37 39 41 42 45 46 48 50 51 53 54 56 58 59 60 62 63 64 65 66 67 68 69 70 71 72 73 75 76 77 79 81 82 84 85 87 89 90 93 94 96 98 99 100 101 102 103 104 106 107 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 1 1 -1 : 0 1 2 3 4 6 9 10 12 14 15 17 18 20 22 23 24 25 26 27 29 31 32 37 38 39 42 43 46 47 48 50 51 54 55 56 58 59 60 62 63 64 65 66 67 68 69 70 71 73 74 75 77 78 79 82 83 85 86 87 90 91 94 95 96 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 -1 -1 1 -1 1 -1 : 0 2 4 5 6 7 8 10 12 14 15 16 18 20 22 23 24 25 26 27 29 31 33 37 40 41 42 43 46 48 49 50 51 54 56 57 58 59 60 62 63 64 65 66 67 68 69 71 72 73 74 75 77 80 81 82 83 85 88 89 90 91 94 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 -1 1 -1 -1 1 -1 : 0 2 4 6 8 9 10 11 12 13 14 15 18 20 22 23 24 25 26 27 29 31 34 37 42 44 45 46 47 48 49 50 51 54 56 58 59 60 61 62 63 64 65 66 67 68 69 71 73 76 77 78 79 80 81 82 83 85 90 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 31 35 37 42 46 48 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 71 73 77 82 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 -1 -1 -1 : 1 2 3 5 6 7 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 36 37 38 40 43 44 47 49 50 51 52 55 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 73 74 76 77 78 80 83 84 85 86 88 91 92 95 97 98 99 100 101 102 103 104 105 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 -1 1 1 : 0 1 3 4 5 7 10 11 13 14 15 18 19 21 22 23 24 25 26 27 28 30 31 36 37 39 41 43 45 47 49 50 51 53 55 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 73 75 76 77 79 81 83 84 85 87 89 91 93 95 97 98 99 100 101 102 103 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 -1 -1 -1 1 -1 1 : 0 1 2 3 5 7 9 11 13 14 15 17 19 21 22 23 24 25 26 27 28 30 32 36 38 39 42 43 46 47 49 50 51 54 55 57 58 59 61 62 63 64 65 66 67 68 69 70 71 72 74 75 76 78 79 82 83 84 86 87 90 91 94 95 97 98 99 100 101 102 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 -1 -1 1 -1 -1 1 : 1 3 4 5 6 7 8 11 13 14 15 16 19 21 22 23 24 25 26 27 28 30 33 36 40 41 42 43 47 48 49 50 51 55 56 57 58 59 61 62 63 64 65 66 67 68 69 70 72 73 74 75 76 80 81 82 83 84 88 89 90 91 95 96 97 98 99 100 101 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 -1 1 -1 -1 -1 1 : 1 3 5 7 8 9 10 11 12 13 14 15 19 21 22 23 24 25 26 27 28 30 34 36 43 44 45 46 47 48 49 50 51 55 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 76 77 78 79 80 81 82 83 84 91 92 93 94 95 96 97 98 99 100 102 103 104 105 106 107 108 109 110 111 +2 1 -1 1 1 1 1 1 -1 1 1 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 30 35 36 43 47 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 72 76 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 : 2 3 6 7 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 40 44 51 52 59 63 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 : 0 1 4 5 10 11 14 15 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 39 41 45 50 53 58 62 64 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 : 0 2 5 7 9 11 13 15 17 19 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 38 39 42 46 49 54 57 61 64 65 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 : 1 3 4 6 9 10 12 15 17 18 20 23 24 25 26 27 28 29 30 31 32 33 34 35 37 38 39 43 47 48 55 56 60 64 65 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 1 -1 -1 1 1 1 1 1 -1 1 1 -1 : 1 3 4 6 8 11 13 14 16 19 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 40 41 42 47 48 55 56 61 62 63 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 1 -1 1 : 0 2 5 7 8 10 12 14 16 18 20 22 24 25 26 27 28 29 30 31 32 33 34 35 37 40 41 43 46 49 54 57 60 62 63 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 1 : 0 1 4 5 8 9 12 13 16 17 20 21 24 25 26 27 28 29 30 31 32 33 34 35 38 40 42 43 45 50 53 58 60 61 63 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 : 2 3 6 7 8 9 10 11 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 39 41 42 43 44 51 52 59 60 61 62 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 -1 -1 -1 1 1 1 1 -1 1 1 1 -1 : 1 3 5 7 8 9 10 12 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 43 44 45 46 48 55 57 58 59 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 1 -1 1 : 0 2 4 6 8 9 11 13 18 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 37 42 44 45 47 49 54 56 58 59 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 1 1 : 0 1 6 7 8 10 11 14 17 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 38 41 44 46 47 50 53 56 57 59 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 -1 : 2 3 4 5 8 12 13 14 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 39 40 45 46 47 51 52 56 57 58 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 1 -1 -1 -1 1 1 1 -1 -1 1 1 1 : 2 3 4 5 9 10 11 15 16 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 39 40 44 48 49 50 53 54 55 59 63 64 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 1 -1 1 1 1 1 1 -1 -1 1 -1 -1 : 0 1 6 7 9 12 13 15 16 18 19 22 24 25 26 27 28 29 30 31 32 33 34 35 38 41 45 48 49 51 52 54 55 58 62 65 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 : 0 2 4 6 10 12 14 15 16 17 19 21 24 25 26 27 28 29 30 31 32 33 34 35 37 42 46 48 50 51 52 53 55 57 61 66 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 +2 1 1 -1 1 1 1 1 -1 1 1 1 -1 -1 -1 -1 1 : 1 3 5 7 11 13 14 15 16 17 18 20 24 25 26 27 28 29 30 31 32 33 34 35 36 43 47 49 50 51 52 53 54 56 60 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 diff --git a/research/one-sided-excess-three/data/gens.txt b/research/one-sided-excess-three/data/gens.txt new file mode 100644 index 0000000000..ba27ea667b --- /dev/null +++ b/research/one-sided-excess-three/data/gens.txt @@ -0,0 +1,12 @@ +0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 111 110 109 108 107 106 105 104 103 102 101 100 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 35 34 33 32 31 30 29 28 27 26 25 24 +0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 100 101 102 103 104 105 106 107 108 109 110 111 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 24 25 26 27 28 29 30 31 32 33 34 35 +0 1 2 3 4 5 6 7 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 34 35 26 27 28 29 30 31 32 33 24 25 60 61 62 63 64 65 66 67 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 36 37 38 39 40 41 42 43 92 93 94 95 96 97 98 99 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 68 69 70 71 72 73 74 75 110 111 102 103 104 105 106 107 108 109 100 101 +0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 25 24 26 27 28 29 30 31 32 33 35 34 36 37 38 39 40 41 42 43 52 53 54 55 56 57 58 59 44 45 46 47 48 49 50 51 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 84 85 86 87 88 89 90 91 76 77 78 79 80 81 82 83 92 93 94 95 96 97 98 99 101 100 102 103 104 105 106 107 108 109 111 110 +7 6 5 4 3 2 1 0 14 15 10 11 12 13 8 9 22 23 18 19 20 21 16 17 24 25 32 33 28 29 30 31 26 27 34 35 42 43 38 39 40 41 36 37 50 51 46 47 48 49 44 45 58 59 54 55 56 57 52 53 66 67 62 63 64 65 60 61 74 75 70 71 72 73 68 69 82 83 78 79 80 81 76 77 90 91 86 87 88 89 84 85 98 99 94 95 96 97 92 93 100 101 108 109 104 105 106 107 102 103 110 111 +4 5 6 7 0 1 2 3 9 8 10 11 12 13 15 14 17 16 18 19 20 21 23 22 24 25 27 26 28 29 30 31 33 32 34 35 36 37 40 41 38 39 42 43 44 45 48 49 46 47 50 51 52 53 56 57 54 55 58 59 60 61 64 65 62 63 66 67 68 69 72 73 70 71 74 75 76 77 80 81 78 79 82 83 84 85 88 89 86 87 90 91 92 93 96 97 94 95 98 99 100 101 103 102 104 105 106 107 109 108 110 111 +2 3 0 1 6 7 4 5 8 9 12 13 10 11 14 15 16 17 20 21 18 19 22 23 24 25 26 27 30 31 28 29 32 33 34 35 36 37 39 38 41 40 42 43 45 44 46 47 48 49 51 50 53 52 54 55 56 57 59 58 60 61 63 62 65 64 66 67 69 68 70 71 72 73 75 74 76 77 79 78 81 80 82 83 84 85 87 86 89 88 90 91 93 92 94 95 96 97 99 98 100 101 102 103 106 107 104 105 108 109 110 111 +1 0 3 2 5 4 7 6 8 9 11 10 13 12 14 15 16 17 19 18 21 20 22 23 24 25 26 27 29 28 31 30 32 33 34 35 37 36 38 39 40 41 43 42 44 45 47 46 49 48 50 51 52 53 55 54 57 56 58 59 61 60 62 63 64 65 67 66 68 69 71 70 73 72 74 75 77 76 78 79 80 81 83 82 85 84 86 87 88 89 91 90 92 93 95 94 97 96 98 99 100 101 102 103 105 104 107 106 108 109 110 111 +98 69 92 75 74 93 68 99 13 18 83 84 77 90 11 20 12 19 82 85 76 91 10 21 46 47 38 62 33 102 27 108 39 63 54 55 87 80 22 16 9 15 86 81 3 4 95 72 71 96 1 6 2 5 94 73 70 97 0 7 79 88 14 8 17 23 78 89 44 50 35 100 25 110 45 51 31 104 36 42 60 66 29 106 30 105 37 43 61 67 28 107 52 58 34 101 24 111 53 59 48 49 40 64 32 103 26 109 41 65 56 57 +33 32 27 26 102 103 108 109 110 25 15 14 9 8 34 101 100 35 16 17 22 23 24 111 19 12 105 30 5 1 2 6 29 106 11 20 56 54 90 84 77 83 47 49 66 60 96 94 71 73 37 43 42 36 72 70 95 97 61 67 48 46 82 76 85 91 55 57 58 52 88 86 79 81 45 51 64 62 98 92 69 75 39 41 40 38 74 68 93 99 63 65 50 44 80 78 87 89 53 59 18 13 104 31 4 0 3 7 28 107 10 21 +43 42 60 61 37 36 66 67 15 9 49 48 54 55 16 22 14 8 47 46 56 57 17 23 78 80 68 74 28 29 104 105 92 98 86 88 19 18 58 45 52 51 12 13 64 39 5 4 2 3 40 63 62 41 1 0 6 7 38 65 11 10 50 53 44 59 20 21 24 100 76 77 82 83 34 110 70 71 26 102 32 108 94 95 72 73 27 103 33 109 96 97 25 101 84 85 90 91 35 111 79 81 69 75 30 31 106 107 93 99 87 89 +61 37 42 66 60 36 43 67 5 4 64 40 39 63 2 3 1 0 62 38 41 65 6 7 81 79 83 82 110 100 34 24 77 76 80 78 68 92 28 104 29 105 74 98 26 102 70 94 71 95 32 108 27 103 72 96 73 97 33 109 69 93 30 106 31 107 75 99 51 52 13 18 12 19 45 58 15 16 49 54 48 55 9 22 14 17 47 56 46 57 8 23 50 53 11 20 10 21 44 59 86 88 84 85 25 35 101 111 90 91 87 89 diff --git a/research/one-sided-excess-three/evidence/all.out.txt b/research/one-sided-excess-three/evidence/all.out.txt new file mode 100644 index 0000000000..56d72f5332 --- /dev/null +++ b/research/one-sided-excess-three/evidence/all.out.txt @@ -0,0 +1,26 @@ +PASS manifest: 19 files hash-checked, 0 mismatching [] +PASS manifest lists every package file (0 unlisted []) +PASS data80.txt, gens.txt (gen.py 80) and data3.txt (gen3.py) regenerated byte-identical to data/ +PASS gen.py: group on lines of order 172032, generators linear on labels +PASS gen3.py: 120 / 1080 / 3360 finite directions, 1120 A2 planes, group order 172032, direction list invariant +PASS land3.py 3: 32 rows (d = 1..8, slack 0..3); no survivor at slack <= 2; slack 3 survivors exactly the 8 multisets of the README (2 at d = 7, 6 at d = 8) [rows 32, survivors [((7, 3), 2), ((8, 3), 6)]] +PASS carrier3.py: all finite inputs of the Carrier / Parity Lemmas pass (7 PASS lines, 0 failing) [7 PASS] +PASS E1a (6,6) s=2 lim78 [4 multisets, need < 8 / < 7]: implementation A (s6x): all 159 orbit reps covered once, max real rank 4 [rank 4 dirs 10] +PASS E1a (6,6) s=2 lim78 [4 multisets, need < 8 / < 7]: implementation B (k3): all 159 orbit reps covered once, max real rank 4 [rank 4 dirs 10] +PASS E1a (6,6) s=2 lim78 [4 multisets, need < 8 / < 7]: A and B give the identical merged rank histogram [14024, 15950, 1108, 65, 0, 0, 0, 0] [[14024, 15950, 1108, 65, 0, 0, 0, 0]] +PASS E1b (6,6) s=4 lim80 relaxed + exact third flat over 161,420 [2 multisets, need < 8]: implementation A (s6x): all 159 orbit reps covered once, max real rank 8 [rank 8 dirs 32] +PASS E1b (6,6) s=4 lim80 relaxed + exact third flat over 161,420 [2 multisets, need < 8]: implementation B (k3): all 159 orbit reps covered once, max real rank 8 [rank 8 dirs 32] +PASS E1b (6,6) s=4 lim80 relaxed + exact third flat over 161,420 [2 multisets, need < 8]: A and B give the identical merged rank histogram [319084, 592591, 24565, 3405, 543, 144, 36, 6] [[319084, 592591, 24565, 3405, 543, 144, 36, 6]] +PASS E1b (6,6) s=4 lim80 relaxed + exact third flat over 161,420 [2 multisets, need < 8]: exact refinement: 6 pairs with relaxed rank 8 refined, max exact rank 4 (A and B) [A 4/6 B 4/6] +PASS E1c (7,4) s=0 lim80 [2 multisets, need < 8]: implementation A (s6x): all 51 orbit reps covered once, max real rank 4 [rank 4 dirs 12] +PASS E1c (7,4) s=0 lim80 [2 multisets, need < 8]: implementation B (k3): all 51 orbit reps covered once, max real rank 4 [rank 4 dirs 12] +PASS E1c (7,4) s=0 lim80 [2 multisets, need < 8]: A and B give the identical merged rank histogram [[11376730, 1854403, 6, 2, 0, 0, 0, 0]] +PASS control (6,6) s=0 lim76 = S66: span 3, 6 directions: implementation A (s6x): all 159 orbit reps covered once, max real rank 3 [rank 3 dirs 6] +PASS control (6,6) s=0 lim76 = S66: span 3, 6 directions: implementation B (k3): all 159 orbit reps covered once, max real rank 3 [rank 3 dirs 6] +PASS control (6,6) s=0 lim76 = S66: span 3, 6 directions: A and B give the identical merged rank histogram [[1095, 2078, 74, 0, 0, 0, 0, 0]] +PASS control (7,7) s=0 lim76: rank 8 on 152 pairs (not vacuous): implementation A (s6x): all 51 orbit reps covered once, max real rank 8 [rank 8 dirs 80] +PASS control (7,7) s=0 lim76: rank 8 on 152 pairs (not vacuous): implementation B (k3): all 51 orbit reps covered once, max real rank 8 [rank 8 dirs 80] +PASS control (7,7) s=0 lim76: rank 8 on 152 pairs (not vacuous): A and B give the identical merged rank histogram [[616945, 184008, 37998, 9097, 392, 822, 34, 152]] +PASS control (7,7): both implementations find exactly 152 pairs of rank 8 +PASS control (6,6) s=0: 0 pairs of rank 8 (A and B) +check_logs: 0 failing diff --git a/research/one-sided-excess-three/evidence/logs/A_660.err.txt b/research/one-sided-excess-three/evidence/logs/A_660.err.txt new file mode 100644 index 0000000000..8332b52711 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_660.err.txt @@ -0,0 +1,3 @@ +directions 1200 (pencils 0), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 diff --git a/research/one-sided-excess-three/evidence/logs/A_660.out.txt b/research/one-sided-excess-three/evidence/logs/A_660.out.txt new file mode 100644 index 0000000000..97fdde3fac --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_660.out.txt @@ -0,0 +1,161 @@ +rep 0 lines 4 orbit 28 active 108 maxrank 0 nfull 0 +rep 1 lines 8 orbit 14 active 108 maxrank 2 nfull 0 +rep 2 lines 7 orbit 3584 active 108 maxrank 0 nfull 0 +rep 3 lines 6 orbit 224 active 118 maxrank 0 nfull 0 +rep 4 lines 7 orbit 512 active 119 maxrank 0 nfull 0 +rep 5 lines 8 orbit 336 active 120 maxrank 0 nfull 0 +rep 6 lines 8 orbit 168 active 118 maxrank 0 nfull 0 +rep 7 lines 6 orbit 672 active 108 maxrank 0 nfull 0 +rep 8 lines 8 orbit 672 active 118 maxrank 0 nfull 0 +rep 9 lines 8 orbit 896 active 120 maxrank 0 nfull 0 +rep 10 lines 8 orbit 336 active 108 maxrank 0 nfull 0 +rep 11 lines 14 orbit 3584 active 117 maxrank 0 nfull 0 +rep 12 lines 10 orbit 10752 active 119 maxrank 0 nfull 0 +rep 13 lines 12 orbit 2688 active 118 maxrank 0 nfull 0 +rep 14 lines 10 orbit 672 active 120 maxrank 0 nfull 0 +rep 15 lines 10 orbit 10752 active 119 maxrank 0 nfull 0 +rep 16 lines 20 orbit 896 active 114 maxrank 3 nfull 0 +rep 17 lines 10 orbit 2688 active 119 maxrank 0 nfull 0 +rep 18 lines 12 orbit 5376 active 119 maxrank 0 nfull 0 +rep 19 lines 11 orbit 10752 active 120 maxrank 0 nfull 0 +rep 20 lines 14 orbit 1792 active 116 maxrank 0 nfull 0 +rep 21 lines 16 orbit 896 active 117 maxrank 0 nfull 0 +rep 22 lines 8 orbit 1792 active 108 maxrank 1 nfull 0 +rep 23 lines 15 orbit 3584 active 120 maxrank 2 nfull 0 +rep 24 lines 12 orbit 896 active 118 maxrank 0 nfull 0 +rep 25 lines 12 orbit 896 active 116 maxrank 0 nfull 0 +rep 26 lines 12 orbit 336 active 118 maxrank 2 nfull 0 +rep 27 lines 12 orbit 336 active 118 maxrank 2 nfull 0 +rep 28 lines 12 orbit 672 active 120 maxrank 0 nfull 0 +rep 29 lines 12 orbit 672 active 118 maxrank 0 nfull 0 +rep 30 lines 8 orbit 336 active 108 maxrank 2 nfull 0 +rep 31 lines 16 orbit 168 active 118 maxrank 3 nfull 0 +rep 32 lines 16 orbit 896 active 120 maxrank 1 nfull 0 +rep 33 lines 16 orbit 2688 active 119 maxrank 0 nfull 0 +rep 34 lines 16 orbit 2688 active 118 maxrank 2 nfull 0 +rep 35 lines 10 orbit 2688 active 118 maxrank 0 nfull 0 +rep 36 lines 10 orbit 5376 active 119 maxrank 0 nfull 0 +rep 37 lines 14 orbit 672 active 120 maxrank 2 nfull 0 +rep 38 lines 8 orbit 168 active 114 maxrank 0 nfull 0 +rep 39 lines 16 orbit 84 active 118 maxrank 2 nfull 0 +rep 40 lines 16 orbit 168 active 114 maxrank 3 nfull 0 +rep 41 lines 16 orbit 672 active 119 maxrank 1 nfull 0 +rep 42 lines 12 orbit 112 active 118 maxrank 3 nfull 0 +rep 43 lines 14 orbit 21504 active 119 maxrank 0 nfull 0 +rep 44 lines 12 orbit 10752 active 118 maxrank 0 nfull 0 +rep 45 lines 12 orbit 10752 active 120 maxrank 0 nfull 0 +rep 46 lines 14 orbit 10752 active 118 maxrank 2 nfull 0 +rep 47 lines 11 orbit 21504 active 120 maxrank 0 nfull 0 +rep 48 lines 8 orbit 2688 active 108 maxrank 0 nfull 0 +rep 49 lines 16 orbit 448 active 119 maxrank 1 nfull 0 +rep 50 lines 12 orbit 112 active 118 maxrank 0 nfull 0 +rep 51 lines 14 orbit 5376 active 117 maxrank 0 nfull 0 +rep 52 lines 16 orbit 336 active 120 maxrank 0 nfull 0 +rep 53 lines 14 orbit 10752 active 119 maxrank 0 nfull 0 +rep 54 lines 14 orbit 5376 active 119 maxrank 0 nfull 0 +rep 55 lines 16 orbit 672 active 120 maxrank 3 nfull 0 +rep 56 lines 16 orbit 336 active 120 maxrank 2 nfull 0 +rep 57 lines 14 orbit 21504 active 119 maxrank 0 nfull 0 +rep 58 lines 12 orbit 5376 active 120 maxrank 1 nfull 0 +rep 59 lines 12 orbit 5376 active 120 maxrank 0 nfull 0 +rep 60 lines 16 orbit 168 active 120 maxrank 2 nfull 0 +rep 61 lines 12 orbit 336 active 120 maxrank 2 nfull 0 +rep 62 lines 16 orbit 1344 active 119 maxrank 1 nfull 0 +rep 63 lines 10 orbit 672 active 118 maxrank 0 nfull 0 +rep 64 lines 14 orbit 672 active 120 maxrank 2 nfull 0 +rep 65 lines 10 orbit 1344 active 120 maxrank 0 nfull 0 +rep 66 lines 14 orbit 1344 active 118 maxrank 2 nfull 0 +rep 67 lines 18 orbit 672 active 152 maxrank 3 nfull 0 +rep 68 lines 18 orbit 224 active 114 maxrank 3 nfull 0 +rep 69 lines 12 orbit 5376 active 120 maxrank 1 nfull 0 +rep 70 lines 12 orbit 1792 active 120 maxrank 0 nfull 0 +rep 71 lines 12 orbit 1792 active 118 maxrank 0 nfull 0 +rep 72 lines 12 orbit 1792 active 119 maxrank 0 nfull 0 +rep 73 lines 12 orbit 21504 active 119 maxrank 0 nfull 0 +rep 74 lines 16 orbit 5376 active 118 maxrank 2 nfull 0 +rep 75 lines 11 orbit 43008 active 119 maxrank 0 nfull 0 +rep 76 lines 15 orbit 21504 active 118 maxrank 2 nfull 0 +rep 77 lines 19 orbit 3584 active 114 maxrank 3 nfull 0 +rep 78 lines 14 orbit 10752 active 119 maxrank 0 nfull 0 +rep 79 lines 16 orbit 1344 active 118 maxrank 2 nfull 0 +rep 80 lines 12 orbit 896 active 119 maxrank 1 nfull 0 +rep 81 lines 16 orbit 7 active 120 maxrank 2 nfull 0 +rep 82 lines 20 orbit 336 active 152 maxrank 3 nfull 0 +rep 83 lines 11 orbit 10752 active 118 maxrank 0 nfull 0 +rep 84 lines 15 orbit 3584 active 120 maxrank 1 nfull 0 +rep 85 lines 16 orbit 10752 active 119 maxrank 0 nfull 0 +rep 86 lines 16 orbit 2688 active 120 maxrank 2 nfull 0 +rep 87 lines 16 orbit 10752 active 117 maxrank 0 nfull 0 +rep 88 lines 18 orbit 10752 active 141 maxrank 2 nfull 0 +rep 89 lines 14 orbit 1792 active 119 maxrank 2 nfull 0 +rep 90 lines 14 orbit 5376 active 119 maxrank 0 nfull 0 +rep 91 lines 14 orbit 5376 active 118 maxrank 2 nfull 0 +rep 92 lines 16 orbit 1792 active 119 maxrank 1 nfull 0 +rep 93 lines 16 orbit 672 active 117 maxrank 1 nfull 0 +rep 94 lines 20 orbit 2688 active 152 maxrank 3 nfull 0 +rep 95 lines 18 orbit 10752 active 152 maxrank 3 nfull 0 +rep 96 lines 16 orbit 2688 active 120 maxrank 0 nfull 0 +rep 97 lines 16 orbit 1344 active 120 maxrank 0 nfull 0 +rep 98 lines 18 orbit 2688 active 151 maxrank 3 nfull 0 +rep 99 lines 16 orbit 1792 active 119 maxrank 0 nfull 0 +rep 100 lines 16 orbit 1792 active 117 maxrank 2 nfull 0 +rep 101 lines 16 orbit 10752 active 119 maxrank 0 nfull 0 +rep 102 lines 19 orbit 10752 active 152 maxrank 3 nfull 0 +rep 103 lines 16 orbit 3584 active 119 maxrank 0 nfull 0 +rep 104 lines 20 orbit 5376 active 152 maxrank 3 nfull 0 +rep 105 lines 12 orbit 3584 active 120 maxrank 1 nfull 0 +rep 106 lines 8 orbit 28 active 120 maxrank 0 nfull 0 +rep 107 lines 16 orbit 3584 active 119 maxrank 1 nfull 0 +rep 108 lines 16 orbit 5376 active 119 maxrank 1 nfull 0 +rep 109 lines 16 orbit 10752 active 119 maxrank 1 nfull 0 +rep 110 lines 16 orbit 3584 active 119 maxrank 1 nfull 0 +rep 111 lines 14 orbit 5376 active 117 maxrank 0 nfull 0 +rep 112 lines 14 orbit 5376 active 119 maxrank 0 nfull 0 +rep 113 lines 12 orbit 1792 active 118 maxrank 0 nfull 0 +rep 114 lines 12 orbit 1792 active 119 maxrank 0 nfull 0 +rep 115 lines 16 orbit 1792 active 117 maxrank 0 nfull 0 +rep 116 lines 14 orbit 3584 active 120 maxrank 0 nfull 0 +rep 117 lines 16 orbit 1792 active 119 maxrank 3 nfull 0 +rep 118 lines 16 orbit 21504 active 119 maxrank 0 nfull 0 +rep 119 lines 16 orbit 2688 active 119 maxrank 1 nfull 0 +rep 120 lines 16 orbit 168 active 120 maxrank 0 nfull 0 +rep 121 lines 20 orbit 1792 active 152 maxrank 3 nfull 0 +rep 122 lines 8 orbit 336 active 118 maxrank 0 nfull 0 +rep 123 lines 16 orbit 5376 active 117 maxrank 1 nfull 0 +rep 124 lines 16 orbit 5376 active 118 maxrank 2 nfull 0 +rep 125 lines 16 orbit 168 active 118 maxrank 2 nfull 0 +rep 126 lines 16 orbit 10752 active 119 maxrank 0 nfull 0 +rep 127 lines 14 orbit 5376 active 118 maxrank 0 nfull 0 +rep 128 lines 10 orbit 5376 active 118 maxrank 0 nfull 0 +rep 129 lines 10 orbit 5376 active 120 maxrank 0 nfull 0 +rep 130 lines 14 orbit 5376 active 117 maxrank 0 nfull 0 +rep 131 lines 19 orbit 14336 active 141 maxrank 2 nfull 0 +rep 132 lines 15 orbit 43008 active 119 maxrank 0 nfull 0 +rep 133 lines 15 orbit 14336 active 117 maxrank 0 nfull 0 +rep 134 lines 15 orbit 43008 active 119 maxrank 0 nfull 0 +rep 135 lines 15 orbit 14336 active 117 maxrank 0 nfull 0 +rep 136 lines 18 orbit 2688 active 114 maxrank 3 nfull 0 +rep 137 lines 18 orbit 5376 active 141 maxrank 2 nfull 0 +rep 138 lines 10 orbit 10752 active 120 maxrank 0 nfull 0 +rep 139 lines 12 orbit 5376 active 120 maxrank 0 nfull 0 +rep 140 lines 16 orbit 1344 active 118 maxrank 2 nfull 0 +rep 141 lines 20 orbit 5376 active 141 maxrank 2 nfull 0 +rep 142 lines 12 orbit 10752 active 119 maxrank 1 nfull 0 +rep 143 lines 12 orbit 1792 active 118 maxrank 0 nfull 0 +rep 144 lines 12 orbit 3584 active 119 maxrank 0 nfull 0 +rep 145 lines 12 orbit 1792 active 120 maxrank 0 nfull 0 +rep 146 lines 12 orbit 2688 active 120 maxrank 0 nfull 0 +rep 147 lines 12 orbit 3584 active 119 maxrank 1 nfull 0 +rep 148 lines 12 orbit 5376 active 119 maxrank 1 nfull 0 +rep 149 lines 20 orbit 1792 active 141 maxrank 2 nfull 0 +rep 150 lines 12 orbit 672 active 120 maxrank 2 nfull 0 +rep 151 lines 12 orbit 672 active 118 maxrank 2 nfull 0 +rep 152 lines 12 orbit 224 active 120 maxrank 2 nfull 0 +rep 153 lines 12 orbit 1792 active 119 maxrank 2 nfull 0 +rep 154 lines 12 orbit 28 active 120 maxrank 2 nfull 0 +rep 155 lines 20 orbit 896 active 141 maxrank 2 nfull 0 +rep 156 lines 12 orbit 336 active 120 maxrank 2 nfull 0 +rep 157 lines 16 orbit 336 active 118 maxrank 2 nfull 0 +rep 158 lines 12 orbit 336 active 120 maxrank 2 nfull 0 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 0 lim 76: max real rank 3, max #directions 6; rank histogram (nonempty pairs): 1:1095 2:2078 3:74 4:0 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c0.err.txt b/research/one-sided-excess-three/evidence/logs/A_662_c0.err.txt new file mode 100644 index 0000000000..74bd665f0c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c0.err.txt @@ -0,0 +1,3 @@ +directions 4784 (pencils 896), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c0.out.txt b/research/one-sided-excess-three/evidence/logs/A_662_c0.out.txt new file mode 100644 index 0000000000..dc4f260e0b --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c0.out.txt @@ -0,0 +1,55 @@ +rep 0 lines 4 orbit 28 active 116 maxrank 2 nfull 0 +rep 3 lines 6 orbit 224 active 118 maxrank 0 nfull 0 +rep 6 lines 8 orbit 168 active 118 maxrank 2 nfull 0 +rep 9 lines 8 orbit 896 active 120 maxrank 0 nfull 0 +rep 12 lines 10 orbit 10752 active 120 maxrank 2 nfull 0 +rep 15 lines 10 orbit 10752 active 120 maxrank 2 nfull 0 +rep 18 lines 12 orbit 5376 active 120 maxrank 2 nfull 6 +rep 21 lines 16 orbit 896 active 178 maxrank 2 nfull 117 +rep 24 lines 12 orbit 896 active 118 maxrank 2 nfull 117 +rep 27 lines 12 orbit 336 active 118 maxrank 3 nfull 117 +rep 30 lines 8 orbit 336 active 118 maxrank 2 nfull 117 +rep 33 lines 16 orbit 2688 active 136 maxrank 1 nfull 154 +rep 36 lines 10 orbit 5376 active 119 maxrank 2 nfull 154 +rep 39 lines 16 orbit 84 active 118 maxrank 3 nfull 154 +rep 42 lines 12 orbit 112 active 118 maxrank 3 nfull 154 +rep 45 lines 12 orbit 10752 active 120 maxrank 2 nfull 158 +rep 48 lines 8 orbit 2688 active 120 maxrank 2 nfull 158 +rep 51 lines 14 orbit 5376 active 120 maxrank 2 nfull 158 +rep 54 lines 14 orbit 5376 active 120 maxrank 2 nfull 158 +rep 57 lines 14 orbit 21504 active 120 maxrank 2 nfull 158 +rep 60 lines 16 orbit 168 active 136 maxrank 2 nfull 158 +rep 63 lines 10 orbit 672 active 120 maxrank 2 nfull 158 +rep 66 lines 14 orbit 1344 active 120 maxrank 4 nfull 190 +rep 69 lines 12 orbit 5376 active 120 maxrank 2 nfull 190 +rep 72 lines 12 orbit 1792 active 119 maxrank 2 nfull 190 +rep 75 lines 11 orbit 43008 active 120 maxrank 2 nfull 190 +rep 78 lines 14 orbit 10752 active 120 maxrank 1 nfull 190 +rep 81 lines 16 orbit 7 active 120 maxrank 2 nfull 190 +rep 84 lines 15 orbit 3584 active 152 maxrank 2 nfull 190 +rep 87 lines 16 orbit 10752 active 120 maxrank 2 nfull 190 +rep 90 lines 14 orbit 5376 active 119 maxrank 2 nfull 190 +rep 93 lines 16 orbit 672 active 175 maxrank 2 nfull 342 +rep 96 lines 16 orbit 2688 active 152 maxrank 2 nfull 342 +rep 99 lines 16 orbit 1792 active 143 maxrank 2 nfull 387 +rep 102 lines 19 orbit 10752 active 158 maxrank 3 nfull 391 +rep 105 lines 12 orbit 3584 active 120 maxrank 2 nfull 391 +rep 108 lines 16 orbit 5376 active 144 maxrank 2 nfull 391 +rep 111 lines 14 orbit 5376 active 119 maxrank 2 nfull 391 +rep 114 lines 12 orbit 1792 active 119 maxrank 1 nfull 391 +rep 117 lines 16 orbit 1792 active 151 maxrank 3 nfull 391 +rep 120 lines 16 orbit 168 active 136 maxrank 4 nfull 391 +rep 123 lines 16 orbit 5376 active 177 maxrank 2 nfull 437 +rep 126 lines 16 orbit 10752 active 140 maxrank 2 nfull 497 +rep 129 lines 10 orbit 5376 active 120 maxrank 2 nfull 497 +rep 132 lines 15 orbit 43008 active 144 maxrank 1 nfull 497 +rep 135 lines 15 orbit 14336 active 120 maxrank 0 nfull 497 +rep 138 lines 10 orbit 10752 active 120 maxrank 2 nfull 497 +rep 141 lines 20 orbit 5376 active 232 maxrank 3 nfull 1174 +rep 144 lines 12 orbit 3584 active 120 maxrank 1 nfull 1174 +rep 147 lines 12 orbit 3584 active 120 maxrank 2 nfull 1174 +rep 150 lines 12 orbit 672 active 120 maxrank 2 nfull 1206 +rep 153 lines 12 orbit 1792 active 120 maxrank 2 nfull 1206 +rep 156 lines 12 orbit 336 active 120 maxrank 2 nfull 1206 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 2 lim 78: max real rank 4, max #directions 6; rank histogram (nonempty pairs): 1:1141 2:2290 3:78 4:9 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c1.err.txt b/research/one-sided-excess-three/evidence/logs/A_662_c1.err.txt new file mode 100644 index 0000000000..74bd665f0c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c1.err.txt @@ -0,0 +1,3 @@ +directions 4784 (pencils 896), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c1.out.txt b/research/one-sided-excess-three/evidence/logs/A_662_c1.out.txt new file mode 100644 index 0000000000..eeb9769ebf --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c1.out.txt @@ -0,0 +1,55 @@ +rep 1 lines 8 orbit 14 active 116 maxrank 2 nfull 0 +rep 4 lines 7 orbit 512 active 119 maxrank 0 nfull 0 +rep 7 lines 6 orbit 672 active 118 maxrank 2 nfull 0 +rep 10 lines 8 orbit 336 active 120 maxrank 2 nfull 0 +rep 13 lines 12 orbit 2688 active 120 maxrank 0 nfull 0 +rep 16 lines 20 orbit 896 active 312 maxrank 3 nfull 0 +rep 19 lines 11 orbit 10752 active 120 maxrank 2 nfull 0 +rep 22 lines 8 orbit 1792 active 119 maxrank 2 nfull 0 +rep 25 lines 12 orbit 896 active 118 maxrank 2 nfull 0 +rep 28 lines 12 orbit 672 active 120 maxrank 3 nfull 0 +rep 31 lines 16 orbit 168 active 150 maxrank 3 nfull 0 +rep 34 lines 16 orbit 2688 active 128 maxrank 2 nfull 90 +rep 37 lines 14 orbit 672 active 120 maxrank 3 nfull 90 +rep 40 lines 16 orbit 168 active 118 maxrank 4 nfull 90 +rep 43 lines 14 orbit 21504 active 120 maxrank 1 nfull 90 +rep 46 lines 14 orbit 10752 active 120 maxrank 2 nfull 122 +rep 49 lines 16 orbit 448 active 135 maxrank 3 nfull 122 +rep 52 lines 16 orbit 336 active 152 maxrank 3 nfull 122 +rep 55 lines 16 orbit 672 active 152 maxrank 4 nfull 122 +rep 58 lines 12 orbit 5376 active 120 maxrank 2 nfull 126 +rep 61 lines 12 orbit 336 active 120 maxrank 3 nfull 158 +rep 64 lines 14 orbit 672 active 120 maxrank 2 nfull 158 +rep 67 lines 18 orbit 672 active 152 maxrank 3 nfull 190 +rep 70 lines 12 orbit 1792 active 120 maxrank 2 nfull 190 +rep 73 lines 12 orbit 21504 active 120 maxrank 2 nfull 194 +rep 76 lines 15 orbit 21504 active 136 maxrank 2 nfull 226 +rep 79 lines 16 orbit 1344 active 127 maxrank 2 nfull 274 +rep 82 lines 20 orbit 336 active 200 maxrank 4 nfull 402 +rep 85 lines 16 orbit 10752 active 146 maxrank 2 nfull 448 +rep 88 lines 18 orbit 10752 active 176 maxrank 3 nfull 557 +rep 91 lines 14 orbit 5376 active 119 maxrank 2 nfull 589 +rep 94 lines 20 orbit 2688 active 184 maxrank 3 nfull 589 +rep 97 lines 16 orbit 1344 active 144 maxrank 2 nfull 589 +rep 100 lines 16 orbit 1792 active 143 maxrank 3 nfull 634 +rep 103 lines 16 orbit 3584 active 136 maxrank 2 nfull 679 +rep 106 lines 8 orbit 28 active 120 maxrank 2 nfull 679 +rep 109 lines 16 orbit 10752 active 146 maxrank 2 nfull 702 +rep 112 lines 14 orbit 5376 active 119 maxrank 2 nfull 702 +rep 115 lines 16 orbit 1792 active 119 maxrank 2 nfull 702 +rep 118 lines 16 orbit 21504 active 144 maxrank 1 nfull 725 +rep 121 lines 20 orbit 1792 active 200 maxrank 3 nfull 725 +rep 124 lines 16 orbit 5376 active 136 maxrank 2 nfull 759 +rep 127 lines 14 orbit 5376 active 119 maxrank 2 nfull 759 +rep 130 lines 14 orbit 5376 active 119 maxrank 2 nfull 759 +rep 133 lines 15 orbit 14336 active 139 maxrank 2 nfull 759 +rep 136 lines 18 orbit 2688 active 139 maxrank 3 nfull 759 +rep 139 lines 12 orbit 5376 active 120 maxrank 2 nfull 759 +rep 142 lines 12 orbit 10752 active 120 maxrank 2 nfull 763 +rep 145 lines 12 orbit 1792 active 120 maxrank 2 nfull 763 +rep 148 lines 12 orbit 5376 active 120 maxrank 2 nfull 763 +rep 151 lines 12 orbit 672 active 120 maxrank 4 nfull 795 +rep 154 lines 12 orbit 28 active 120 maxrank 2 nfull 795 +rep 157 lines 16 orbit 336 active 136 maxrank 4 nfull 795 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 2 lim 78: max real rank 4, max #directions 10; rank histogram (nonempty pairs): 1:1549 2:5126 3:393 4:20 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c2.err.txt b/research/one-sided-excess-three/evidence/logs/A_662_c2.err.txt new file mode 100644 index 0000000000..74bd665f0c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c2.err.txt @@ -0,0 +1,3 @@ +directions 4784 (pencils 896), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 diff --git a/research/one-sided-excess-three/evidence/logs/A_662_c2.out.txt b/research/one-sided-excess-three/evidence/logs/A_662_c2.out.txt new file mode 100644 index 0000000000..0ea8fd0ae7 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_662_c2.out.txt @@ -0,0 +1,55 @@ +rep 2 lines 7 orbit 3584 active 119 maxrank 2 nfull 0 +rep 5 lines 8 orbit 336 active 120 maxrank 0 nfull 0 +rep 8 lines 8 orbit 672 active 120 maxrank 2 nfull 0 +rep 11 lines 14 orbit 3584 active 120 maxrank 2 nfull 0 +rep 14 lines 10 orbit 672 active 120 maxrank 3 nfull 0 +rep 17 lines 10 orbit 2688 active 119 maxrank 2 nfull 0 +rep 20 lines 14 orbit 1792 active 119 maxrank 2 nfull 0 +rep 23 lines 15 orbit 3584 active 120 maxrank 2 nfull 0 +rep 26 lines 12 orbit 336 active 118 maxrank 3 nfull 32 +rep 29 lines 12 orbit 672 active 120 maxrank 2 nfull 32 +rep 32 lines 16 orbit 896 active 144 maxrank 2 nfull 32 +rep 35 lines 10 orbit 2688 active 119 maxrank 0 nfull 32 +rep 38 lines 8 orbit 168 active 118 maxrank 2 nfull 32 +rep 41 lines 16 orbit 672 active 135 maxrank 2 nfull 32 +rep 44 lines 12 orbit 10752 active 120 maxrank 0 nfull 32 +rep 47 lines 11 orbit 21504 active 120 maxrank 2 nfull 32 +rep 50 lines 12 orbit 112 active 118 maxrank 3 nfull 32 +rep 53 lines 14 orbit 10752 active 120 maxrank 2 nfull 32 +rep 56 lines 16 orbit 336 active 120 maxrank 3 nfull 32 +rep 59 lines 12 orbit 5376 active 120 maxrank 2 nfull 36 +rep 62 lines 16 orbit 1344 active 128 maxrank 2 nfull 112 +rep 65 lines 10 orbit 1344 active 120 maxrank 2 nfull 112 +rep 68 lines 18 orbit 224 active 144 maxrank 4 nfull 112 +rep 71 lines 12 orbit 1792 active 119 maxrank 2 nfull 112 +rep 74 lines 16 orbit 5376 active 136 maxrank 2 nfull 180 +rep 77 lines 19 orbit 3584 active 174 maxrank 3 nfull 180 +rep 80 lines 12 orbit 896 active 119 maxrank 2 nfull 180 +rep 83 lines 11 orbit 10752 active 120 maxrank 0 nfull 180 +rep 86 lines 16 orbit 2688 active 120 maxrank 2 nfull 180 +rep 89 lines 14 orbit 1792 active 119 maxrank 2 nfull 180 +rep 92 lines 16 orbit 1792 active 139 maxrank 2 nfull 225 +rep 95 lines 18 orbit 10752 active 152 maxrank 3 nfull 225 +rep 98 lines 18 orbit 2688 active 155 maxrank 3 nfull 225 +rep 101 lines 16 orbit 10752 active 136 maxrank 2 nfull 248 +rep 104 lines 20 orbit 5376 active 200 maxrank 3 nfull 264 +rep 107 lines 16 orbit 3584 active 144 maxrank 2 nfull 264 +rep 110 lines 16 orbit 3584 active 148 maxrank 2 nfull 309 +rep 113 lines 12 orbit 1792 active 119 maxrank 0 nfull 309 +rep 116 lines 14 orbit 3584 active 120 maxrank 2 nfull 309 +rep 119 lines 16 orbit 2688 active 136 maxrank 2 nfull 385 +rep 122 lines 8 orbit 336 active 120 maxrank 2 nfull 385 +rep 125 lines 16 orbit 168 active 120 maxrank 3 nfull 545 +rep 128 lines 10 orbit 5376 active 120 maxrank 0 nfull 545 +rep 131 lines 19 orbit 14336 active 216 maxrank 3 nfull 722 +rep 134 lines 15 orbit 43008 active 136 maxrank 2 nfull 722 +rep 137 lines 18 orbit 5376 active 175 maxrank 3 nfull 831 +rep 140 lines 16 orbit 1344 active 128 maxrank 2 nfull 927 +rep 143 lines 12 orbit 1792 active 120 maxrank 0 nfull 927 +rep 146 lines 12 orbit 2688 active 120 maxrank 2 nfull 927 +rep 149 lines 20 orbit 1792 active 222 maxrank 3 nfull 927 +rep 152 lines 12 orbit 224 active 120 maxrank 3 nfull 927 +rep 155 lines 20 orbit 896 active 227 maxrank 3 nfull 927 +rep 158 lines 12 orbit 336 active 120 maxrank 2 nfull 959 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 2 lim 78: max real rank 4, max #directions 6; rank histogram (nonempty pairs): 1:11334 2:8534 3:637 4:36 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c0.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c0.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c0.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c0.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c0.out.txt new file mode 100644 index 0000000000..c2d30d89ab --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c0.out.txt @@ -0,0 +1,9 @@ +rep 0 lines 4 orbit 28 active 120 maxrank 2 nfull 0 +rep 24 lines 12 orbit 896 active 120 maxrank 3 nfull 0 +rep 48 lines 8 orbit 2688 active 120 maxrank 2 nfull 0 +rep 72 lines 12 orbit 1792 active 120 maxrank 3 nfull 60 +rep 96 lines 16 orbit 2688 active 248 maxrank 4 nfull 60 +rep 120 lines 16 orbit 168 active 280 maxrank 4 nfull 60 +rep 144 lines 12 orbit 3584 active 120 maxrank 3 nfull 60 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 4, max #directions 12; rank histogram (nonempty pairs): 1:1745 2:2474 3:35 4:86 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c1.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c1.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c1.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c1.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c1.out.txt new file mode 100644 index 0000000000..2db980606b --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c1.out.txt @@ -0,0 +1,9 @@ +rep 1 lines 8 orbit 14 active 120 maxrank 3 nfull 0 +rep 25 lines 12 orbit 896 active 120 maxrank 3 nfull 0 +rep 49 lines 16 orbit 448 active 208 maxrank 3 nfull 0 +rep 73 lines 12 orbit 21504 active 120 maxrank 3 nfull 58 +rep 97 lines 16 orbit 1344 active 280 maxrank 4 nfull 58 +rep 121 lines 20 orbit 1792 active 848 maxrank 4 nfull 298 +rep 145 lines 12 orbit 1792 active 120 maxrank 3 nfull 322 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 4, max #directions 8; rank histogram (nonempty pairs): 1:4189 2:5606 3:373 4:50 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c10.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c10.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c10.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c10.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c10.out.txt new file mode 100644 index 0000000000..3ba21c2644 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c10.out.txt @@ -0,0 +1,27 @@ +rep 10 lines 8 orbit 336 active 120 maxrank 4 nfull 0 +rep 34 lines 16 orbit 2688 active 200 maxrank 4 nfull 450 +rep 58 lines 12 orbit 5376 active 120 maxrank 3 nfull 494 +RANK7 rep 82 j 39687 n 12 : 237 996 1201 1438 1507 1850 2104 2279 2393 3362 3472 3909 +RANK7 rep 82 j 39694 n 12 : 174 382 457 793 1249 1489 1507 1932 2104 2638 3581 3749 +RANK7 rep 82 j 84366 n 14 : 174 382 457 793 1249 1489 1563 1609 1932 2638 2788 3581 3645 3749 +RANK7 rep 82 j 100986 n 12 : 64 103 430 608 772 783 1005 1452 2207 2788 3300 3645 +REFINE rep 82 j 103676 relaxed 8 exact-with-3flat 4 +RANK8 rep 82 j 103676 n 32 : 40 167 237 382 430 471 561 608 783 793 846 927 996 1005 1196 1438 1489 1563 1609 1768 1932 2279 2304 2345 2420 2447 2638 2788 3127 3347 3581 3645 +RANK7 rep 82 j 106381 n 14 : 174 382 457 793 1249 1489 1563 1609 1932 2638 2788 3581 3645 3749 +REFINE rep 82 j 113882 relaxed 8 exact-with-3flat 4 +RANK8 rep 82 j 113882 n 32 : 40 167 174 237 430 457 471 561 608 783 793 846 906 927 996 1005 1196 1335 1438 1489 1563 1609 1768 1932 2279 2345 2420 2447 2638 2788 3347 3645 +RANK7 rep 82 j 114709 n 12 : 103 561 906 1196 1249 1335 1768 2207 2304 2345 3127 3749 +RANK7 rep 82 j 115346 n 14 : 561 906 1196 1201 1249 1335 1768 2304 2345 2601 3127 3724 3749 3909 +RANK7 rep 82 j 115356 n 14 : 561 906 1196 1201 1249 1335 1768 2304 2345 2601 3127 3724 3749 3909 +REFINE rep 82 j 118807 relaxed 8 exact-with-3flat 4 +RANK8 rep 82 j 118807 n 32 : 40 64 167 174 382 457 471 561 772 793 846 906 927 1201 1335 1452 1768 1850 1932 2304 2393 2420 2447 2601 3127 3300 3347 3362 3472 3581 3724 3909 +REFINE rep 82 j 118810 relaxed 8 exact-with-3flat 4 +RANK8 rep 82 j 118810 n 32 : 40 64 167 174 382 457 471 772 846 906 927 1196 1201 1335 1452 1489 1850 2304 2345 2393 2420 2447 2601 2638 3127 3300 3347 3362 3472 3581 3724 3909 +RANK7 rep 82 j 590301 n 12 : 174 382 457 793 1249 1489 1932 2638 2788 3581 3645 3749 +RANK7 rep 82 j 590381 n 12 : 561 906 1196 1201 1249 1335 1768 2304 2345 3127 3749 3909 +rep 82 lines 20 orbit 336 active 904 maxrank 8 nfull 622 +rep 106 lines 8 orbit 28 active 120 maxrank 2 nfull 622 +rep 130 lines 14 orbit 5376 active 175 maxrank 3 nfull 881 +rep 154 lines 12 orbit 28 active 120 maxrank 3 nfull 881 +REFINE max exact rank 4 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 8, max #directions 32; rank histogram (nonempty pairs): 1:30790 2:25094 3:1468 4:402 5:98 6:12 7:10 8:4 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c11.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c11.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c11.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c11.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c11.out.txt new file mode 100644 index 0000000000..5a7f5e691f --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c11.out.txt @@ -0,0 +1,9 @@ +rep 11 lines 14 orbit 3584 active 179 maxrank 4 nfull 243 +rep 35 lines 10 orbit 2688 active 120 maxrank 2 nfull 243 +rep 59 lines 12 orbit 5376 active 120 maxrank 3 nfull 275 +rep 83 lines 11 orbit 10752 active 120 maxrank 2 nfull 275 +rep 107 lines 16 orbit 3584 active 200 maxrank 4 nfull 275 +rep 131 lines 19 orbit 14336 active 560 maxrank 4 nfull 2210 +rep 155 lines 20 orbit 896 active 750 maxrank 4 nfull 2450 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 4, max #directions 6; rank histogram (nonempty pairs): 1:9430 2:9861 3:1436 4:40 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c12.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c12.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c12.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c12.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c12.out.txt new file mode 100644 index 0000000000..fe0dd6b23e --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c12.out.txt @@ -0,0 +1,11 @@ +rep 12 lines 10 orbit 10752 active 120 maxrank 2 nfull 8 +rep 36 lines 10 orbit 5376 active 120 maxrank 2 nfull 16 +rep 60 lines 16 orbit 168 active 280 maxrank 6 nfull 16 +rep 84 lines 15 orbit 3584 active 170 maxrank 3 nfull 16 +rep 108 lines 16 orbit 5376 active 200 maxrank 5 nfull 16 +rep 132 lines 15 orbit 43008 active 154 maxrank 2 nfull 161 +RANK7 rep 156 j 389985 n 12 : 114 167 1409 1413 1609 1622 2420 2447 3017 3347 3560 3724 +RANK7 rep 156 j 593143 n 12 : 32 40 471 585 846 927 1126 1133 1609 2764 3724 3847 +rep 156 lines 12 orbit 336 active 120 maxrank 7 nfull 161 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 7, max #directions 30; rank histogram (nonempty pairs): 1:3640 2:3184 3:65 4:16 5:33 6:4 7:2 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c13.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c13.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c13.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c13.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c13.out.txt new file mode 100644 index 0000000000..3108bf0018 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c13.out.txt @@ -0,0 +1,13 @@ +rep 13 lines 12 orbit 2688 active 120 maxrank 2 nfull 0 +RANK7 rep 37 j 104004 n 14 : 64 106 356 585 906 1150 1609 2051 2104 2304 2335 2614 3017 3300 +RANK7 rep 37 j 386128 n 14 : 55 195 362 1029 1107 1335 1452 1609 1705 2104 2282 2304 3272 3300 +rep 37 lines 14 orbit 672 active 144 maxrank 7 nfull 0 +rep 61 lines 12 orbit 336 active 120 maxrank 6 nfull 32 +rep 85 lines 16 orbit 10752 active 226 maxrank 4 nfull 590 +rep 109 lines 16 orbit 10752 active 228 maxrank 4 nfull 869 +rep 133 lines 15 orbit 14336 active 183 maxrank 3 nfull 1304 +RANK7 rep 157 j 54 n 12 : 511 722 832 1201 1441 1622 2104 2207 2335 2788 3017 3749 +RANK7 rep 157 j 148 n 12 : 40 167 195 511 846 1021 1441 1549 1563 1705 2447 2601 +rep 157 lines 16 orbit 336 active 184 maxrank 7 nfull 1304 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 7, max #directions 18; rank histogram (nonempty pairs): 1:6798 2:23576 3:1212 4:85 5:48 6:8 7:4 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c14.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c14.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c14.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c14.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c14.out.txt new file mode 100644 index 0000000000..c3ab731421 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c14.out.txt @@ -0,0 +1,11 @@ +rep 14 lines 10 orbit 672 active 120 maxrank 5 nfull 64 +rep 38 lines 8 orbit 168 active 120 maxrank 3 nfull 64 +rep 62 lines 16 orbit 1344 active 208 maxrank 3 nfull 276 +rep 86 lines 16 orbit 2688 active 280 maxrank 3 nfull 276 +rep 110 lines 16 orbit 3584 active 224 maxrank 4 nfull 521 +rep 134 lines 15 orbit 43008 active 174 maxrank 3 nfull 811 +RANK7 rep 158 j 486507 n 12 : 32 40 585 722 846 1126 1133 1609 2335 2764 3724 3847 +RANK7 rep 158 j 486573 n 12 : 32 40 585 722 846 1126 1133 1609 2335 2764 3724 3847 +rep 158 lines 12 orbit 336 active 120 maxrank 7 nfull 843 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 7, max #directions 12; rank histogram (nonempty pairs): 1:6493 2:6579 3:347 4:40 5:11 6:0 7:2 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c15.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c15.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c15.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c15.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c15.out.txt new file mode 100644 index 0000000000..4923d36298 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c15.out.txt @@ -0,0 +1,16 @@ +rep 15 lines 10 orbit 10752 active 120 maxrank 2 nfull 34 +RANK7 rep 39 j 100904 n 12 : 722 996 1438 1579 1609 1836 1932 2104 2282 2638 3272 3421 +RANK7 rep 39 j 100908 n 12 : 32 237 362 793 1107 1231 1489 1609 1622 2013 2104 2279 +RANK7 rep 39 j 114747 n 12 : 585 996 1438 1579 1609 1932 2104 2282 2638 3017 3272 3421 +RANK7 rep 39 j 114751 n 12 : 237 362 793 1107 1231 1489 1609 2013 2051 2104 2279 2335 +RANK7 rep 39 j 118625 n 12 : 585 722 996 1579 1609 1836 2104 2282 2638 3017 3272 3421 +RANK7 rep 39 j 118626 n 12 : 585 722 1438 1579 1609 1836 1932 2104 2282 3017 3272 3421 +RANK7 rep 39 j 118627 n 12 : 32 362 793 1107 1231 1609 1622 2013 2051 2104 2279 2335 +RANK7 rep 39 j 118628 n 12 : 32 237 362 1107 1231 1489 1609 1622 2013 2051 2104 2335 +rep 39 lines 16 orbit 84 active 200 maxrank 7 nfull 34 +rep 63 lines 10 orbit 672 active 120 maxrank 5 nfull 34 +rep 87 lines 16 orbit 10752 active 120 maxrank 4 nfull 34 +rep 111 lines 14 orbit 5376 active 120 maxrank 2 nfull 34 +rep 135 lines 15 orbit 14336 active 120 maxrank 2 nfull 34 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 7, max #directions 18; rank histogram (nonempty pairs): 1:5866 2:20959 3:1191 4:159 5:13 6:9 7:8 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c16.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c16.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c16.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c16.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c16.out.txt new file mode 100644 index 0000000000..6cb038757a --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c16.out.txt @@ -0,0 +1,8 @@ +rep 16 lines 20 orbit 896 active 884 maxrank 4 nfull 0 +rep 40 lines 16 orbit 168 active 152 maxrank 6 nfull 0 +rep 64 lines 14 orbit 672 active 160 maxrank 5 nfull 0 +rep 88 lines 18 orbit 10752 active 408 maxrank 4 nfull 1265 +rep 112 lines 14 orbit 5376 active 144 maxrank 2 nfull 1346 +rep 136 lines 18 orbit 2688 active 516 maxrank 4 nfull 1346 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 6, max #directions 16; rank histogram (nonempty pairs): 1:9609 2:24179 3:3385 4:155 5:12 6:4 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c17.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c17.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c17.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c17.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c17.out.txt new file mode 100644 index 0000000000..1ca19a76ce --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c17.out.txt @@ -0,0 +1,8 @@ +rep 17 lines 10 orbit 2688 active 120 maxrank 3 nfull 8 +rep 41 lines 16 orbit 672 active 208 maxrank 3 nfull 8 +rep 65 lines 10 orbit 1344 active 120 maxrank 5 nfull 40 +rep 89 lines 14 orbit 1792 active 120 maxrank 3 nfull 40 +rep 113 lines 12 orbit 1792 active 120 maxrank 3 nfull 40 +rep 137 lines 18 orbit 5376 active 398 maxrank 4 nfull 1265 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 8; rank histogram (nonempty pairs): 1:4901 2:5329 3:627 4:18 5:1 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c18.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c18.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c18.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c18.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c18.out.txt new file mode 100644 index 0000000000..0b8b807796 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c18.out.txt @@ -0,0 +1,8 @@ +rep 18 lines 12 orbit 5376 active 120 maxrank 3 nfull 74 +rep 42 lines 12 orbit 112 active 120 maxrank 3 nfull 74 +rep 66 lines 14 orbit 1344 active 144 maxrank 6 nfull 266 +rep 90 lines 14 orbit 5376 active 146 maxrank 3 nfull 428 +rep 114 lines 12 orbit 1792 active 120 maxrank 3 nfull 428 +rep 138 lines 10 orbit 10752 active 120 maxrank 3 nfull 432 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 6, max #directions 16; rank histogram (nonempty pairs): 1:25019 2:19458 3:554 4:36 5:8 6:1 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c19.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c19.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c19.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c19.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c19.out.txt new file mode 100644 index 0000000000..7ba71f3b5f --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c19.out.txt @@ -0,0 +1,10 @@ +rep 19 lines 11 orbit 10752 active 120 maxrank 3 nfull 40 +rep 43 lines 14 orbit 21504 active 144 maxrank 3 nfull 129 +REFINE rep 67 j 484729 relaxed 8 exact-with-3flat 3 +RANK8 rep 67 j 484729 n 26 : 18 40 61 106 167 197 356 427 471 492 574 812 846 927 1150 1294 1420 1563 2044 2400 2420 2447 2614 2733 3347 3724 +rep 67 lines 18 orbit 672 active 280 maxrank 8 nfull 289 +rep 91 lines 14 orbit 5376 active 152 maxrank 4 nfull 445 +rep 115 lines 16 orbit 1792 active 120 maxrank 3 nfull 445 +rep 139 lines 12 orbit 5376 active 120 maxrank 3 nfull 469 +REFINE max exact rank 3 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 8, max #directions 26; rank histogram (nonempty pairs): 1:6635 2:6364 3:750 4:74 5:35 6:2 7:0 8:1 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c2.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c2.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c2.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c2.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c2.out.txt new file mode 100644 index 0000000000..e85862902b --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c2.out.txt @@ -0,0 +1,9 @@ +rep 2 lines 7 orbit 3584 active 120 maxrank 2 nfull 0 +rep 26 lines 12 orbit 336 active 120 maxrank 4 nfull 32 +rep 50 lines 12 orbit 112 active 120 maxrank 3 nfull 32 +rep 74 lines 16 orbit 5376 active 192 maxrank 4 nfull 484 +rep 98 lines 18 orbit 2688 active 340 maxrank 4 nfull 604 +rep 122 lines 8 orbit 336 active 120 maxrank 3 nfull 604 +rep 146 lines 12 orbit 2688 active 120 maxrank 3 nfull 652 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 4, max #directions 12; rank histogram (nonempty pairs): 1:8165 2:6687 3:402 4:38 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c20.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c20.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c20.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c20.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c20.out.txt new file mode 100644 index 0000000000..6d6db8f3d4 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c20.out.txt @@ -0,0 +1,16 @@ +rep 20 lines 14 orbit 1792 active 120 maxrank 3 nfull 0 +rep 44 lines 12 orbit 10752 active 120 maxrank 2 nfull 0 +RANK7 rep 68 j 126229 n 14 : 40 927 986 1107 1152 1231 1563 1844 2447 2625 3272 3347 3421 3724 +RANK7 rep 68 j 482798 n 14 : 61 427 574 628 812 1107 1201 1563 2013 2282 3421 3645 3724 3749 +RANK7 rep 68 j 484496 n 14 : 18 106 356 603 628 1152 1563 2378 2625 2733 2788 3724 3749 3909 +REFINE rep 68 j 484728 relaxed 8 exact-with-3flat 3 +RANK8 rep 68 j 484728 n 26 : 18 40 61 106 167 197 356 427 471 492 574 812 846 927 1150 1294 1420 1563 2044 2400 2420 2447 2614 2733 3347 3724 +RANK7 rep 68 j 484768 n 14 : 18 106 356 603 628 1152 1563 2378 2625 2733 2788 3724 3749 3909 +RANK7 rep 68 j 485085 n 14 : 61 427 574 628 812 1107 1201 1563 2013 2282 3421 3645 3724 3749 +RANK7 rep 68 j 556699 n 14 : 40 927 986 1107 1152 1231 1563 1844 2447 2625 3272 3347 3421 3724 +rep 68 lines 18 orbit 224 active 552 maxrank 8 nfull 0 +rep 92 lines 16 orbit 1792 active 224 maxrank 4 nfull 245 +rep 116 lines 14 orbit 3584 active 152 maxrank 4 nfull 245 +rep 140 lines 16 orbit 1344 active 200 maxrank 4 nfull 621 +REFINE max exact rank 3 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 8, max #directions 26; rank histogram (nonempty pairs): 1:8348 2:24199 3:5246 4:1647 5:203 6:15 7:6 8:1 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c21.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c21.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c21.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c21.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c21.out.txt new file mode 100644 index 0000000000..f472905e5a --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c21.out.txt @@ -0,0 +1,8 @@ +rep 21 lines 16 orbit 896 active 186 maxrank 3 nfull 687 +rep 45 lines 12 orbit 10752 active 120 maxrank 3 nfull 719 +rep 69 lines 12 orbit 5376 active 120 maxrank 3 nfull 731 +rep 93 lines 16 orbit 672 active 186 maxrank 3 nfull 1155 +rep 117 lines 16 orbit 1792 active 176 maxrank 3 nfull 1179 +rep 141 lines 20 orbit 5376 active 786 maxrank 5 nfull 4776 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 10; rank histogram (nonempty pairs): 1:9462 2:9786 3:1201 4:47 5:1 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c22.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c22.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c22.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c22.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c22.out.txt new file mode 100644 index 0000000000..ddecc31e64 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c22.out.txt @@ -0,0 +1,8 @@ +rep 22 lines 8 orbit 1792 active 120 maxrank 2 nfull 0 +rep 46 lines 14 orbit 10752 active 152 maxrank 4 nfull 156 +rep 70 lines 12 orbit 1792 active 120 maxrank 3 nfull 180 +rep 94 lines 20 orbit 2688 active 816 maxrank 5 nfull 356 +rep 118 lines 16 orbit 21504 active 196 maxrank 4 nfull 635 +rep 142 lines 12 orbit 10752 active 120 maxrank 3 nfull 681 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 12; rank histogram (nonempty pairs): 1:4867 2:5369 3:311 4:17 5:4 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c23.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c23.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c23.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c23.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c23.out.txt new file mode 100644 index 0000000000..a624d74616 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c23.out.txt @@ -0,0 +1,8 @@ +rep 23 lines 15 orbit 3584 active 162 maxrank 3 nfull 0 +rep 47 lines 11 orbit 21504 active 120 maxrank 3 nfull 20 +rep 71 lines 12 orbit 1792 active 120 maxrank 3 nfull 20 +rep 95 lines 18 orbit 10752 active 360 maxrank 4 nfull 108 +rep 119 lines 16 orbit 2688 active 208 maxrank 3 nfull 320 +rep 143 lines 12 orbit 1792 active 120 maxrank 2 nfull 320 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 4, max #directions 8; rank histogram (nonempty pairs): 1:3931 2:4610 3:231 4:22 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c3.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c3.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c3.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c3.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c3.out.txt new file mode 100644 index 0000000000..db0f037888 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c3.out.txt @@ -0,0 +1,9 @@ +rep 3 lines 6 orbit 224 active 120 maxrank 3 nfull 0 +rep 27 lines 12 orbit 336 active 120 maxrank 5 nfull 0 +rep 51 lines 14 orbit 5376 active 120 maxrank 2 nfull 0 +rep 75 lines 11 orbit 43008 active 120 maxrank 3 nfull 38 +rep 99 lines 16 orbit 1792 active 192 maxrank 3 nfull 283 +rep 123 lines 16 orbit 5376 active 182 maxrank 4 nfull 841 +rep 147 lines 12 orbit 3584 active 120 maxrank 3 nfull 889 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 10; rank histogram (nonempty pairs): 1:4728 2:4512 3:169 4:2 5:2 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c4.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c4.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c4.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c4.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c4.out.txt new file mode 100644 index 0000000000..bcfc7dc350 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c4.out.txt @@ -0,0 +1,9 @@ +rep 4 lines 7 orbit 512 active 120 maxrank 2 nfull 0 +rep 28 lines 12 orbit 672 active 120 maxrank 4 nfull 0 +rep 52 lines 16 orbit 336 active 216 maxrank 5 nfull 0 +rep 76 lines 15 orbit 21504 active 188 maxrank 4 nfull 292 +rep 100 lines 16 orbit 1792 active 216 maxrank 3 nfull 541 +rep 124 lines 16 orbit 5376 active 192 maxrank 4 nfull 767 +rep 148 lines 12 orbit 5376 active 120 maxrank 2 nfull 791 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 12; rank histogram (nonempty pairs): 1:20135 2:15922 3:813 4:91 5:8 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c5.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c5.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c5.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c5.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c5.out.txt new file mode 100644 index 0000000000..938cf4515a --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c5.out.txt @@ -0,0 +1,13 @@ +rep 5 lines 8 orbit 336 active 120 maxrank 2 nfull 0 +rep 29 lines 12 orbit 672 active 120 maxrank 5 nfull 0 +rep 53 lines 14 orbit 10752 active 144 maxrank 2 nfull 89 +rep 77 lines 19 orbit 3584 active 712 maxrank 4 nfull 89 +rep 101 lines 16 orbit 10752 active 196 maxrank 3 nfull 368 +RANK7 rep 125 j 157958 n 14 : 61 64 114 492 574 1126 1335 2207 2400 2601 2764 3127 3300 3560 +RANK7 rep 125 j 612441 n 14 : 427 772 812 906 1133 1294 1409 1413 1420 1452 2207 2304 2601 3847 +RANK7 rep 125 j 617951 n 14 : 103 340 480 511 593 906 1452 1597 1844 2378 2625 3127 3300 3724 +RANK7 rep 125 j 617991 n 14 : 64 103 338 603 747 772 986 1152 1223 1335 1441 2304 3379 3724 +rep 125 lines 16 orbit 168 active 200 maxrank 7 nfull 752 +rep 149 lines 20 orbit 1792 active 766 maxrank 5 nfull 968 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 7, max #directions 30; rank histogram (nonempty pairs): 1:107852 2:342927 3:2916 4:151 5:23 6:5 7:4 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c6.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c6.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c6.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c6.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c6.out.txt new file mode 100644 index 0000000000..1143cb1e9c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c6.out.txt @@ -0,0 +1,9 @@ +rep 6 lines 8 orbit 168 active 120 maxrank 3 nfull 0 +rep 30 lines 8 orbit 336 active 120 maxrank 3 nfull 0 +rep 54 lines 14 orbit 5376 active 150 maxrank 3 nfull 178 +rep 78 lines 14 orbit 10752 active 144 maxrank 4 nfull 259 +rep 102 lines 19 orbit 10752 active 560 maxrank 4 nfull 395 +rep 126 lines 16 orbit 10752 active 230 maxrank 5 nfull 991 +rep 150 lines 12 orbit 672 active 120 maxrank 4 nfull 1023 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 8; rank histogram (nonempty pairs): 1:4879 2:5707 3:308 4:15 5:1 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c7.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c7.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c7.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c7.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c7.out.txt new file mode 100644 index 0000000000..69a0fb9f3e --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c7.out.txt @@ -0,0 +1,9 @@ +rep 7 lines 6 orbit 672 active 120 maxrank 3 nfull 0 +rep 31 lines 16 orbit 168 active 184 maxrank 5 nfull 128 +rep 55 lines 16 orbit 672 active 184 maxrank 5 nfull 256 +rep 79 lines 16 orbit 1344 active 200 maxrank 4 nfull 444 +rep 103 lines 16 orbit 3584 active 200 maxrank 3 nfull 689 +rep 127 lines 14 orbit 5376 active 160 maxrank 3 nfull 867 +rep 151 lines 12 orbit 672 active 120 maxrank 4 nfull 899 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 14; rank histogram (nonempty pairs): 1:22328 2:9986 3:1063 4:131 5:12 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c8.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c8.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c8.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c8.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c8.out.txt new file mode 100644 index 0000000000..cfa3c9b9ff --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c8.out.txt @@ -0,0 +1,9 @@ +rep 8 lines 8 orbit 672 active 120 maxrank 3 nfull 0 +rep 32 lines 16 orbit 896 active 280 maxrank 3 nfull 0 +rep 56 lines 16 orbit 336 active 248 maxrank 5 nfull 0 +rep 80 lines 12 orbit 896 active 120 maxrank 2 nfull 24 +rep 104 lines 20 orbit 5376 active 840 maxrank 4 nfull 240 +rep 128 lines 10 orbit 5376 active 120 maxrank 2 nfull 240 +rep 152 lines 12 orbit 224 active 120 maxrank 5 nfull 240 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 5, max #directions 12; rank histogram (nonempty pairs): 1:5038 2:6754 3:434 4:83 5:30 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c9.err.txt b/research/one-sided-excess-three/evidence/logs/A_664_c9.err.txt new file mode 100644 index 0000000000..e85f7b7f77 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c9.err.txt @@ -0,0 +1,4 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 776805, V2 line sets 776805 +V1 orbits: 159 +V3 line sets 161420 diff --git a/research/one-sided-excess-three/evidence/logs/A_664_c9.out.txt b/research/one-sided-excess-three/evidence/logs/A_664_c9.out.txt new file mode 100644 index 0000000000..227f5cf5c2 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_664_c9.out.txt @@ -0,0 +1,9 @@ +rep 9 lines 8 orbit 896 active 120 maxrank 2 nfull 0 +rep 33 lines 16 orbit 2688 active 208 maxrank 2 nfull 229 +rep 57 lines 14 orbit 21504 active 148 maxrank 3 nfull 399 +rep 81 lines 16 orbit 7 active 280 maxrank 6 nfull 399 +rep 105 lines 12 orbit 3584 active 120 maxrank 3 nfull 411 +rep 129 lines 10 orbit 5376 active 120 maxrank 3 nfull 415 +rep 153 lines 12 orbit 1792 active 120 maxrank 2 nfull 427 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 6 V2dim 6 s 4 lim 80: max real rank 6, max #directions 30; rank histogram (nonempty pairs): 1:4236 2:3469 3:28 4:0 5:0 6:84 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_740.err.txt b/research/one-sided-excess-three/evidence/logs/A_740.err.txt new file mode 100644 index 0000000000..5f23eb96af --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_740.err.txt @@ -0,0 +1,3 @@ +directions 5680 (pencils 1120), gens 12 +V1 line sets 43180, V2 line sets 1708358 +V1 orbits: 51 diff --git a/research/one-sided-excess-three/evidence/logs/A_740.out.txt b/research/one-sided-excess-three/evidence/logs/A_740.out.txt new file mode 100644 index 0000000000..4268cf06c3 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_740.out.txt @@ -0,0 +1,53 @@ +rep 0 lines 24 orbit 56 active 0 maxrank 0 nfull 0 +rep 1 lines 24 orbit 56 active 0 maxrank 0 nfull 0 +rep 2 lines 24 orbit 448 active 25 maxrank 1 nfull 0 +rep 3 lines 24 orbit 448 active 27 maxrank 0 nfull 0 +rep 4 lines 20 orbit 168 active 0 maxrank 0 nfull 0 +rep 5 lines 22 orbit 2688 active 4 maxrank 2 nfull 0 +rep 6 lines 16 orbit 7 active 0 maxrank 0 nfull 0 +rep 7 lines 32 orbit 56 active 95 maxrank 3 nfull 0 +rep 8 lines 24 orbit 28 active 30 maxrank 2 nfull 0 +rep 9 lines 28 orbit 168 active 92 maxrank 2 nfull 0 +rep 10 lines 28 orbit 168 active 94 maxrank 2 nfull 0 +rep 11 lines 28 orbit 128 active 57 maxrank 1 nfull 0 +rep 12 lines 28 orbit 448 active 57 maxrank 1 nfull 0 +rep 13 lines 28 orbit 448 active 29 maxrank 2 nfull 0 +rep 14 lines 24 orbit 448 active 0 maxrank 0 nfull 0 +rep 15 lines 26 orbit 2688 active 41 maxrank 0 nfull 0 +rep 16 lines 24 orbit 224 active 27 maxrank 0 nfull 0 +rep 17 lines 30 orbit 2688 active 114 maxrank 1 nfull 0 +rep 18 lines 30 orbit 2688 active 94 maxrank 2 nfull 0 +rep 19 lines 28 orbit 64 active 63 maxrank 0 nfull 0 +rep 20 lines 28 orbit 896 active 84 maxrank 0 nfull 0 +rep 21 lines 28 orbit 896 active 63 maxrank 0 nfull 0 +rep 22 lines 34 orbit 2688 active 135 maxrank 0 nfull 0 +rep 23 lines 28 orbit 896 active 57 maxrank 1 nfull 0 +rep 24 lines 28 orbit 896 active 84 maxrank 1 nfull 0 +rep 25 lines 36 orbit 448 active 135 maxrank 0 nfull 0 +rep 26 lines 24 orbit 896 active 25 maxrank 1 nfull 0 +rep 27 lines 32 orbit 448 active 94 maxrank 2 nfull 0 +rep 28 lines 20 orbit 168 active 2 maxrank 2 nfull 0 +rep 29 lines 22 orbit 896 active 0 maxrank 0 nfull 0 +rep 30 lines 32 orbit 448 active 136 maxrank 0 nfull 0 +rep 31 lines 26 orbit 2688 active 29 maxrank 2 nfull 0 +rep 32 lines 28 orbit 448 active 86 maxrank 2 nfull 0 +rep 33 lines 28 orbit 448 active 84 maxrank 2 nfull 0 +rep 34 lines 32 orbit 896 active 135 maxrank 0 nfull 0 +rep 35 lines 24 orbit 224 active 29 maxrank 2 nfull 0 +rep 36 lines 32 orbit 224 active 127 maxrank 0 nfull 0 +rep 37 lines 32 orbit 336 active 136 maxrank 2 nfull 0 +rep 38 lines 30 orbit 5376 active 95 maxrank 2 nfull 0 +rep 39 lines 28 orbit 64 active 63 maxrank 0 nfull 0 +rep 40 lines 32 orbit 112 active 136 maxrank 0 nfull 0 +rep 41 lines 32 orbit 336 active 95 maxrank 3 nfull 0 +rep 42 lines 28 orbit 448 active 57 maxrank 1 nfull 0 +rep 43 lines 24 orbit 448 active 26 maxrank 2 nfull 0 +rep 44 lines 26 orbit 5376 active 35 maxrank 1 nfull 0 +rep 45 lines 34 orbit 896 active 117 maxrank 0 nfull 0 +rep 46 lines 24 orbit 448 active 26 maxrank 2 nfull 0 +rep 47 lines 32 orbit 448 active 95 maxrank 2 nfull 0 +rep 48 lines 32 orbit 21 active 136 maxrank 4 nfull 0 +rep 49 lines 32 orbit 224 active 117 maxrank 0 nfull 0 +rep 50 lines 24 orbit 28 active 26 maxrank 2 nfull 0 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 7 V2dim 4 s 0 lim 80: max real rank 4, max #directions 12; rank histogram (nonempty pairs): 1:11376730 2:1854403 3:6 4:2 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/A_ctl77.err.txt b/research/one-sided-excess-three/evidence/logs/A_ctl77.err.txt new file mode 100644 index 0000000000..c225779428 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_ctl77.err.txt @@ -0,0 +1,3 @@ +directions 1200 (pencils 0), gens 12 +V1 line sets 43180, V2 line sets 43180 +V1 orbits: 51 diff --git a/research/one-sided-excess-three/evidence/logs/A_ctl77.out.txt b/research/one-sided-excess-three/evidence/logs/A_ctl77.out.txt new file mode 100644 index 0000000000..8b980c07dd --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/A_ctl77.out.txt @@ -0,0 +1,73 @@ +RANK8 rep 0 j 19119 n 56 : 6 14 18 29 30 42 51 98 100 125 137 144 166 175 182 209 228 234 238 261 275 311 322 324 337 347 354 365 398 421 436 440 446 451 514 560 569 588 621 635 658 666 671 678 726 729 734 756 770 894 913 938 1004 1024 1031 1060 +RANK8 rep 0 j 27577 n 64 : 6 11 16 18 29 30 33 42 50 107 137 144 147 163 169 172 175 177 182 214 222 228 234 261 275 281 315 345 347 354 365 379 396 403 404 421 431 436 451 454 499 514 518 543 560 569 588 621 634 635 642 658 678 726 729 819 853 894 900 953 983 1024 1031 1049 +RANK8 rep 0 j 36328 n 64 : 6 18 19 29 30 42 44 64 90 91 126 131 137 139 144 175 182 202 219 228 234 252 261 275 279 285 288 317 335 347 354 359 365 374 395 406 418 421 436 451 479 511 514 560 569 571 588 621 635 650 652 658 665 678 726 729 737 764 894 920 925 977 1024 1031 +rep 0 lines 24 orbit 56 active 1200 maxrank 8 nfull 0 +RANK8 rep 1 j 19118 n 56 : 6 14 18 29 30 42 51 98 100 125 137 144 166 175 182 209 228 234 238 261 275 311 322 324 337 347 354 365 398 421 436 440 446 451 514 560 569 588 621 635 658 666 671 678 726 729 734 756 770 894 913 938 1004 1024 1031 1060 +RANK8 rep 1 j 27578 n 64 : 6 11 18 29 30 33 42 64 90 91 100 107 126 137 139 144 169 209 214 219 228 261 279 285 288 311 315 324 335 337 359 365 396 418 421 436 440 446 451 454 479 518 569 588 621 642 652 678 726 729 734 737 770 819 853 900 925 938 953 983 1004 1024 1049 1060 +RANK8 rep 1 j 36327 n 64 : 6 16 18 19 29 30 42 44 50 100 131 137 144 147 163 172 177 202 209 222 228 252 261 281 311 317 324 337 345 365 374 379 395 403 404 406 421 431 436 440 446 451 499 511 543 569 571 588 621 634 650 665 678 726 729 734 764 770 920 938 977 1004 1024 1060 +rep 1 lines 24 orbit 56 active 1200 maxrank 8 nfull 0 +RANK8 rep 2 j 11584 n 61 : 16 29 30 91 100 107 131 137 147 163 166 172 177 202 219 228 234 252 261 279 288 322 335 337 345 359 365 379 404 406 418 421 436 446 451 454 514 518 543 560 569 588 621 634 650 658 665 666 671 726 734 756 770 819 853 894 900 913 938 1024 1031 +RANK8 rep 2 j 19115 n 56 : 6 14 18 29 30 42 51 98 100 125 137 144 166 175 182 209 228 234 238 261 275 311 322 324 337 347 354 365 398 421 436 440 446 451 514 560 569 588 621 635 658 666 671 678 726 729 734 756 770 894 913 938 1004 1024 1031 1060 +RANK8 rep 2 j 41617 n 68 : 11 19 29 30 33 44 50 64 90 91 100 126 137 139 166 169 214 222 228 234 261 281 285 315 317 322 337 365 374 395 396 403 421 431 436 446 451 479 499 511 514 560 569 571 588 621 642 652 658 666 671 726 734 737 756 764 770 894 913 920 925 938 953 977 983 1024 1031 1049 +rep 2 lines 24 orbit 448 active 1200 maxrank 8 nfull 0 +RANK8 rep 3 j 9642 n 60 : 6 11 14 16 29 42 44 51 64 90 91 98 100 139 163 166 169 175 177 209 219 222 228 234 238 252 275 288 324 335 337 359 365 379 403 406 421 436 451 511 560 571 588 621 666 678 726 729 737 770 853 894 900 920 925 938 953 983 1024 1031 +rep 3 lines 24 orbit 448 active 1200 maxrank 8 nfull 0 +rep 4 lines 20 orbit 168 active 1200 maxrank 8 nfull 0 +rep 5 lines 22 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 6 lines 16 orbit 7 active 1200 maxrank 8 nfull 0 +RANK7 rep 7 j 248 n 11 : 29 255 318 421 436 451 588 621 726 872 992 +RANK7 rep 7 j 1196 n 11 : 378 421 436 451 469 588 621 726 941 1024 1184 +RANK7 rep 7 j 2045 n 11 : 95 378 421 436 451 568 588 621 726 941 1024 +RANK7 rep 7 j 2187 n 11 : 29 255 276 421 436 588 621 726 893 992 1024 +RANK7 rep 7 j 2189 n 11 : 29 255 378 436 451 588 621 726 941 992 1024 +RANK7 rep 7 j 13372 n 63 : 6 11 14 30 42 44 51 64 90 91 98 107 131 137 139 147 169 172 175 202 209 222 238 261 275 279 322 324 345 403 404 418 421 436 446 451 454 511 514 518 543 569 571 588 621 634 650 658 665 671 678 726 729 734 737 756 819 913 920 925 953 983 1024 +RANK7 rep 7 j 13373 n 11 : 89 318 421 436 451 588 621 726 738 872 1024 +RANK7 rep 7 j 13374 n 11 : 129 318 421 436 451 588 621 726 872 1024 1107 +RANK7 rep 7 j 13484 n 11 : 276 421 436 451 570 588 621 726 893 1024 1132 +RANK7 rep 7 j 13541 n 11 : 81 276 421 436 451 578 588 621 726 893 1024 +rep 7 lines 32 orbit 56 active 1200 maxrank 8 nfull 0 +rep 8 lines 24 orbit 28 active 1198 maxrank 8 nfull 0 +rep 9 lines 28 orbit 168 active 1200 maxrank 8 nfull 0 +rep 10 lines 28 orbit 168 active 1198 maxrank 8 nfull 0 +rep 11 lines 28 orbit 128 active 1200 maxrank 8 nfull 0 +rep 12 lines 28 orbit 448 active 1200 maxrank 8 nfull 0 +rep 13 lines 28 orbit 448 active 1200 maxrank 8 nfull 0 +rep 14 lines 24 orbit 448 active 1200 maxrank 8 nfull 0 +rep 15 lines 26 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 16 lines 24 orbit 224 active 1200 maxrank 8 nfull 0 +rep 17 lines 30 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 18 lines 30 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 19 lines 28 orbit 64 active 1200 maxrank 8 nfull 0 +rep 20 lines 28 orbit 896 active 1200 maxrank 8 nfull 0 +rep 21 lines 28 orbit 896 active 1200 maxrank 8 nfull 0 +rep 22 lines 34 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 23 lines 28 orbit 896 active 1200 maxrank 8 nfull 0 +rep 24 lines 28 orbit 896 active 1200 maxrank 8 nfull 0 +rep 25 lines 36 orbit 448 active 1200 maxrank 8 nfull 0 +rep 26 lines 24 orbit 896 active 1200 maxrank 8 nfull 0 +rep 27 lines 32 orbit 448 active 1200 maxrank 8 nfull 0 +rep 28 lines 20 orbit 168 active 1198 maxrank 8 nfull 0 +rep 29 lines 22 orbit 896 active 1200 maxrank 8 nfull 0 +rep 30 lines 32 orbit 448 active 1200 maxrank 8 nfull 0 +rep 31 lines 26 orbit 2688 active 1200 maxrank 8 nfull 0 +rep 32 lines 28 orbit 448 active 1200 maxrank 8 nfull 0 +rep 33 lines 28 orbit 448 active 1200 maxrank 8 nfull 0 +rep 34 lines 32 orbit 896 active 1200 maxrank 8 nfull 0 +rep 35 lines 24 orbit 224 active 1200 maxrank 8 nfull 0 +rep 36 lines 32 orbit 224 active 1200 maxrank 8 nfull 0 +rep 37 lines 32 orbit 336 active 1200 maxrank 8 nfull 0 +rep 38 lines 30 orbit 5376 active 1200 maxrank 8 nfull 0 +rep 39 lines 28 orbit 64 active 1200 maxrank 8 nfull 0 +rep 40 lines 32 orbit 112 active 1200 maxrank 8 nfull 0 +rep 41 lines 32 orbit 336 active 1200 maxrank 8 nfull 0 +rep 42 lines 28 orbit 448 active 1200 maxrank 8 nfull 0 +rep 43 lines 24 orbit 448 active 1200 maxrank 8 nfull 0 +rep 44 lines 26 orbit 5376 active 1200 maxrank 8 nfull 0 +rep 45 lines 34 orbit 896 active 1200 maxrank 8 nfull 0 +rep 46 lines 24 orbit 448 active 1200 maxrank 8 nfull 0 +rep 47 lines 32 orbit 448 active 1200 maxrank 8 nfull 0 +rep 48 lines 32 orbit 21 active 1200 maxrank 8 nfull 0 +rep 49 lines 32 orbit 224 active 1200 maxrank 8 nfull 0 +rep 50 lines 24 orbit 28 active 1200 maxrank 8 nfull 0 +REFINE max exact rank 0 +OVERALL data80.txt V1dim 7 V2dim 7 s 0 lim 76: max real rank 8, max #directions 80; rank histogram (nonempty pairs): 1:616945 2:184008 3:37998 4:9097 5:392 6:822 7:34 8:152 diff --git a/research/one-sided-excess-three/evidence/logs/B_660.err.txt b/research/one-sided-excess-three/evidence/logs/B_660.err.txt new file mode 100644 index 0000000000..9a33989090 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_660.err.txt @@ -0,0 +1,2 @@ +ND 1200 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 0 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_660.out.txt b/research/one-sided-excess-three/evidence/logs/B_660.out.txt new file mode 100644 index 0000000000..c44a9cc27d --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_660.out.txt @@ -0,0 +1,160 @@ +rep 0 lines 8 orbit 336 active 118 maxrank 0 +rep 1 lines 8 orbit 28 active 120 maxrank 0 +rep 2 lines 4 orbit 28 active 108 maxrank 0 +rep 3 lines 8 orbit 14 active 108 maxrank 2 +rep 4 lines 8 orbit 1792 active 108 maxrank 1 +rep 5 lines 10 orbit 672 active 120 maxrank 0 +rep 6 lines 16 orbit 1792 active 119 maxrank 3 +rep 7 lines 14 orbit 5376 active 119 maxrank 0 +rep 8 lines 10 orbit 2688 active 119 maxrank 0 +rep 9 lines 7 orbit 3584 active 108 maxrank 0 +rep 10 lines 8 orbit 2688 active 108 maxrank 0 +rep 11 lines 18 orbit 2688 active 114 maxrank 3 +rep 12 lines 18 orbit 5376 active 141 maxrank 2 +rep 13 lines 16 orbit 1792 active 117 maxrank 0 +rep 14 lines 14 orbit 5376 active 117 maxrank 0 +rep 15 lines 18 orbit 2688 active 151 maxrank 3 +rep 16 lines 6 orbit 672 active 108 maxrank 0 +rep 17 lines 11 orbit 10752 active 120 maxrank 0 +rep 18 lines 12 orbit 5376 active 120 maxrank 0 +rep 19 lines 14 orbit 5376 active 118 maxrank 2 +rep 20 lines 14 orbit 5376 active 119 maxrank 0 +rep 21 lines 11 orbit 10752 active 118 maxrank 0 +rep 22 lines 12 orbit 3584 active 119 maxrank 1 +rep 23 lines 12 orbit 10752 active 119 maxrank 1 +rep 24 lines 12 orbit 5376 active 119 maxrank 0 +rep 25 lines 14 orbit 1792 active 116 maxrank 0 +rep 26 lines 16 orbit 1344 active 120 maxrank 0 +rep 27 lines 12 orbit 1792 active 118 maxrank 0 +rep 28 lines 12 orbit 336 active 118 maxrank 2 +rep 29 lines 16 orbit 1792 active 119 maxrank 1 +rep 30 lines 6 orbit 224 active 118 maxrank 0 +rep 31 lines 16 orbit 896 active 117 maxrank 0 +rep 32 lines 16 orbit 896 active 120 maxrank 1 +rep 33 lines 12 orbit 5376 active 120 maxrank 1 +rep 34 lines 16 orbit 2688 active 119 maxrank 0 +rep 35 lines 12 orbit 1792 active 120 maxrank 0 +rep 36 lines 12 orbit 3584 active 120 maxrank 1 +rep 37 lines 12 orbit 5376 active 120 maxrank 1 +rep 38 lines 16 orbit 1344 active 118 maxrank 2 +rep 39 lines 12 orbit 896 active 118 maxrank 0 +rep 40 lines 20 orbit 896 active 141 maxrank 2 +rep 41 lines 12 orbit 5376 active 119 maxrank 1 +rep 42 lines 16 orbit 672 active 119 maxrank 1 +rep 43 lines 12 orbit 112 active 118 maxrank 0 +rep 44 lines 12 orbit 672 active 120 maxrank 0 +rep 45 lines 16 orbit 10752 active 117 maxrank 0 +rep 46 lines 8 orbit 896 active 120 maxrank 0 +rep 47 lines 10 orbit 5376 active 119 maxrank 0 +rep 48 lines 10 orbit 5376 active 118 maxrank 0 +rep 49 lines 10 orbit 5376 active 120 maxrank 0 +rep 50 lines 14 orbit 10752 active 118 maxrank 2 +rep 51 lines 14 orbit 3584 active 117 maxrank 0 +rep 52 lines 14 orbit 10752 active 119 maxrank 0 +rep 53 lines 16 orbit 5376 active 118 maxrank 2 +rep 54 lines 12 orbit 10752 active 118 maxrank 0 +rep 55 lines 12 orbit 21504 active 119 maxrank 0 +rep 56 lines 16 orbit 5376 active 117 maxrank 1 +rep 57 lines 16 orbit 3584 active 119 maxrank 0 +rep 58 lines 12 orbit 5376 active 120 maxrank 0 +rep 59 lines 16 orbit 2688 active 118 maxrank 2 +rep 60 lines 16 orbit 2688 active 119 maxrank 1 +rep 61 lines 16 orbit 1344 active 118 maxrank 2 +rep 62 lines 16 orbit 2688 active 120 maxrank 0 +rep 63 lines 20 orbit 896 active 114 maxrank 3 +rep 64 lines 14 orbit 3584 active 120 maxrank 0 +rep 65 lines 12 orbit 2688 active 118 maxrank 0 +rep 66 lines 12 orbit 10752 active 120 maxrank 0 +rep 67 lines 14 orbit 21504 active 119 maxrank 0 +rep 68 lines 15 orbit 43008 active 119 maxrank 0 +rep 69 lines 12 orbit 112 active 118 maxrank 3 +rep 70 lines 12 orbit 672 active 118 maxrank 0 +rep 71 lines 14 orbit 672 active 120 maxrank 2 +rep 72 lines 18 orbit 10752 active 152 maxrank 3 +rep 73 lines 12 orbit 896 active 116 maxrank 0 +rep 74 lines 12 orbit 336 active 118 maxrank 2 +rep 75 lines 16 orbit 168 active 118 maxrank 3 +rep 76 lines 16 orbit 168 active 114 maxrank 3 +rep 77 lines 7 orbit 512 active 119 maxrank 0 +rep 78 lines 8 orbit 672 active 118 maxrank 0 +rep 79 lines 8 orbit 336 active 120 maxrank 0 +rep 80 lines 16 orbit 1344 active 119 maxrank 1 +rep 81 lines 16 orbit 672 active 120 maxrank 3 +rep 82 lines 14 orbit 672 active 120 maxrank 2 +rep 83 lines 16 orbit 168 active 118 maxrank 2 +rep 84 lines 16 orbit 168 active 120 maxrank 2 +rep 85 lines 12 orbit 28 active 120 maxrank 2 +rep 86 lines 16 orbit 10752 active 119 maxrank 1 +rep 87 lines 16 orbit 21504 active 119 maxrank 0 +rep 88 lines 16 orbit 5376 active 119 maxrank 1 +rep 89 lines 14 orbit 21504 active 119 maxrank 0 +rep 90 lines 18 orbit 10752 active 141 maxrank 2 +rep 91 lines 20 orbit 2688 active 152 maxrank 3 +rep 92 lines 12 orbit 2688 active 120 maxrank 0 +rep 93 lines 10 orbit 10752 active 119 maxrank 0 +rep 94 lines 15 orbit 21504 active 118 maxrank 2 +rep 95 lines 12 orbit 1792 active 119 maxrank 0 +rep 96 lines 12 orbit 1792 active 118 maxrank 0 +rep 97 lines 14 orbit 1792 active 119 maxrank 2 +rep 98 lines 15 orbit 3584 active 120 maxrank 1 +rep 99 lines 15 orbit 3584 active 120 maxrank 2 +rep 100 lines 15 orbit 43008 active 119 maxrank 0 +rep 101 lines 10 orbit 10752 active 119 maxrank 0 +rep 102 lines 11 orbit 43008 active 119 maxrank 0 +rep 103 lines 11 orbit 21504 active 120 maxrank 0 +rep 104 lines 15 orbit 14336 active 117 maxrank 0 +rep 105 lines 19 orbit 3584 active 114 maxrank 3 +rep 106 lines 15 orbit 14336 active 117 maxrank 0 +rep 107 lines 19 orbit 14336 active 141 maxrank 2 +rep 108 lines 19 orbit 10752 active 152 maxrank 3 +rep 109 lines 14 orbit 5376 active 117 maxrank 0 +rep 110 lines 12 orbit 672 active 120 maxrank 2 +rep 111 lines 18 orbit 224 active 114 maxrank 3 +rep 112 lines 16 orbit 2688 active 120 maxrank 2 +rep 113 lines 12 orbit 672 active 118 maxrank 2 +rep 114 lines 8 orbit 336 active 108 maxrank 0 +rep 115 lines 10 orbit 2688 active 118 maxrank 0 +rep 116 lines 14 orbit 5376 active 117 maxrank 0 +rep 117 lines 14 orbit 5376 active 118 maxrank 0 +rep 118 lines 12 orbit 1792 active 119 maxrank 0 +rep 119 lines 16 orbit 336 active 120 maxrank 0 +rep 120 lines 16 orbit 168 active 120 maxrank 0 +rep 121 lines 12 orbit 336 active 120 maxrank 2 +rep 122 lines 10 orbit 672 active 118 maxrank 0 +rep 123 lines 10 orbit 1344 active 120 maxrank 0 +rep 124 lines 16 orbit 3584 active 119 maxrank 1 +rep 125 lines 16 orbit 10752 active 119 maxrank 0 +rep 126 lines 20 orbit 1792 active 152 maxrank 3 +rep 127 lines 16 orbit 3584 active 119 maxrank 1 +rep 128 lines 12 orbit 224 active 120 maxrank 2 +rep 129 lines 16 orbit 448 active 119 maxrank 1 +rep 130 lines 14 orbit 10752 active 119 maxrank 0 +rep 131 lines 8 orbit 336 active 108 maxrank 2 +rep 132 lines 16 orbit 5376 active 118 maxrank 2 +rep 133 lines 12 orbit 896 active 119 maxrank 1 +rep 134 lines 16 orbit 10752 active 119 maxrank 0 +rep 135 lines 16 orbit 10752 active 119 maxrank 0 +rep 136 lines 20 orbit 5376 active 152 maxrank 3 +rep 137 lines 20 orbit 5376 active 141 maxrank 2 +rep 138 lines 20 orbit 1792 active 141 maxrank 2 +rep 139 lines 12 orbit 1792 active 119 maxrank 2 +rep 140 lines 16 orbit 1792 active 119 maxrank 0 +rep 141 lines 16 orbit 1792 active 117 maxrank 2 +rep 142 lines 12 orbit 1792 active 120 maxrank 0 +rep 143 lines 10 orbit 10752 active 120 maxrank 0 +rep 144 lines 14 orbit 5376 active 119 maxrank 0 +rep 145 lines 12 orbit 1792 active 118 maxrank 0 +rep 146 lines 12 orbit 3584 active 119 maxrank 0 +rep 147 lines 16 orbit 336 active 120 maxrank 2 +rep 148 lines 8 orbit 168 active 114 maxrank 0 +rep 149 lines 8 orbit 168 active 118 maxrank 0 +rep 150 lines 12 orbit 336 active 120 maxrank 2 +rep 151 lines 12 orbit 336 active 120 maxrank 2 +rep 152 lines 16 orbit 672 active 117 maxrank 1 +rep 153 lines 18 orbit 672 active 152 maxrank 3 +rep 154 lines 14 orbit 1344 active 118 maxrank 2 +rep 155 lines 16 orbit 84 active 118 maxrank 2 +rep 156 lines 20 orbit 336 active 152 maxrank 3 +rep 157 lines 16 orbit 7 active 120 maxrank 2 +rep 158 lines 16 orbit 336 active 118 maxrank 2 +RESULT dims 6 6 s 0 lim 76 chunk 0/1: nreps 159, max relaxed rank 3, max #dirs 6, #pairs rank>=8: 0, refine max exact rank 0; hist 1:1095 2:2078 3:74 4:0 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/B_662_c0.err.txt b/research/one-sided-excess-three/evidence/logs/B_662_c0.err.txt new file mode 100644 index 0000000000..32c96ee471 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_662_c0.err.txt @@ -0,0 +1,2 @@ +ND 4784 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 0 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_662_c0.out.txt b/research/one-sided-excess-three/evidence/logs/B_662_c0.out.txt new file mode 100644 index 0000000000..6306f4e460 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_662_c0.out.txt @@ -0,0 +1,81 @@ +rep 0 lines 8 orbit 336 active 120 maxrank 2 +rep 2 lines 4 orbit 28 active 116 maxrank 2 +rep 4 lines 8 orbit 1792 active 119 maxrank 2 +rep 6 lines 16 orbit 1792 active 151 maxrank 3 +rep 8 lines 10 orbit 2688 active 119 maxrank 2 +rep 10 lines 8 orbit 2688 active 120 maxrank 2 +rep 12 lines 18 orbit 5376 active 175 maxrank 3 +rep 14 lines 14 orbit 5376 active 119 maxrank 2 +rep 16 lines 6 orbit 672 active 118 maxrank 2 +rep 18 lines 12 orbit 5376 active 120 maxrank 2 +rep 20 lines 14 orbit 5376 active 119 maxrank 2 +rep 22 lines 12 orbit 3584 active 120 maxrank 2 +rep 24 lines 12 orbit 5376 active 120 maxrank 2 +rep 26 lines 16 orbit 1344 active 144 maxrank 2 +rep 28 lines 12 orbit 336 active 118 maxrank 3 +rep 30 lines 6 orbit 224 active 118 maxrank 0 +rep 32 lines 16 orbit 896 active 144 maxrank 2 +rep 34 lines 16 orbit 2688 active 136 maxrank 1 +rep 36 lines 12 orbit 3584 active 120 maxrank 2 +rep 38 lines 16 orbit 1344 active 127 maxrank 2 +rep 40 lines 20 orbit 896 active 227 maxrank 3 +rep 42 lines 16 orbit 672 active 135 maxrank 2 +rep 44 lines 12 orbit 672 active 120 maxrank 3 +rep 46 lines 8 orbit 896 active 120 maxrank 0 +rep 48 lines 10 orbit 5376 active 120 maxrank 0 +rep 50 lines 14 orbit 10752 active 120 maxrank 2 +rep 52 lines 14 orbit 10752 active 120 maxrank 1 +rep 54 lines 12 orbit 10752 active 120 maxrank 0 +rep 56 lines 16 orbit 5376 active 177 maxrank 2 +rep 58 lines 12 orbit 5376 active 120 maxrank 2 +rep 60 lines 16 orbit 2688 active 136 maxrank 2 +rep 62 lines 16 orbit 2688 active 152 maxrank 2 +rep 64 lines 14 orbit 3584 active 120 maxrank 2 +rep 66 lines 12 orbit 10752 active 120 maxrank 2 +rep 68 lines 15 orbit 43008 active 144 maxrank 1 +rep 70 lines 12 orbit 672 active 120 maxrank 2 +rep 72 lines 18 orbit 10752 active 152 maxrank 3 +rep 74 lines 12 orbit 336 active 118 maxrank 3 +rep 76 lines 16 orbit 168 active 118 maxrank 4 +rep 78 lines 8 orbit 672 active 120 maxrank 2 +rep 80 lines 16 orbit 1344 active 128 maxrank 2 +rep 82 lines 14 orbit 672 active 120 maxrank 3 +rep 84 lines 16 orbit 168 active 136 maxrank 2 +rep 86 lines 16 orbit 10752 active 146 maxrank 2 +rep 88 lines 16 orbit 5376 active 144 maxrank 2 +rep 90 lines 18 orbit 10752 active 176 maxrank 3 +rep 92 lines 12 orbit 2688 active 120 maxrank 2 +rep 94 lines 15 orbit 21504 active 136 maxrank 2 +rep 96 lines 12 orbit 1792 active 119 maxrank 0 +rep 98 lines 15 orbit 3584 active 152 maxrank 2 +rep 100 lines 15 orbit 43008 active 136 maxrank 2 +rep 102 lines 11 orbit 43008 active 120 maxrank 2 +rep 104 lines 15 orbit 14336 active 120 maxrank 0 +rep 106 lines 15 orbit 14336 active 139 maxrank 2 +rep 108 lines 19 orbit 10752 active 158 maxrank 3 +rep 110 lines 12 orbit 672 active 120 maxrank 2 +rep 112 lines 16 orbit 2688 active 120 maxrank 2 +rep 114 lines 8 orbit 336 active 120 maxrank 2 +rep 116 lines 14 orbit 5376 active 119 maxrank 2 +rep 118 lines 12 orbit 1792 active 119 maxrank 2 +rep 120 lines 16 orbit 168 active 136 maxrank 4 +rep 122 lines 10 orbit 672 active 120 maxrank 2 +rep 124 lines 16 orbit 3584 active 144 maxrank 2 +rep 126 lines 20 orbit 1792 active 200 maxrank 3 +rep 128 lines 12 orbit 224 active 120 maxrank 3 +rep 130 lines 14 orbit 10752 active 120 maxrank 2 +rep 132 lines 16 orbit 5376 active 136 maxrank 2 +rep 134 lines 16 orbit 10752 active 140 maxrank 2 +rep 136 lines 20 orbit 5376 active 200 maxrank 3 +rep 138 lines 20 orbit 1792 active 222 maxrank 3 +rep 140 lines 16 orbit 1792 active 143 maxrank 2 +rep 142 lines 12 orbit 1792 active 120 maxrank 2 +rep 144 lines 14 orbit 5376 active 120 maxrank 2 +rep 146 lines 12 orbit 3584 active 120 maxrank 1 +rep 148 lines 8 orbit 168 active 118 maxrank 2 +rep 150 lines 12 orbit 336 active 120 maxrank 2 +rep 152 lines 16 orbit 672 active 175 maxrank 2 +rep 154 lines 14 orbit 1344 active 120 maxrank 4 +rep 156 lines 20 orbit 336 active 200 maxrank 4 +rep 158 lines 16 orbit 336 active 136 maxrank 4 +RESULT dims 6 6 s 2 lim 78 chunk 0/2: nreps 159, max relaxed rank 4, max #dirs 10, #pairs rank>=8: 0, refine max exact rank 0; hist 1:1642 2:5420 3:345 4:23 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/B_662_c1.err.txt b/research/one-sided-excess-three/evidence/logs/B_662_c1.err.txt new file mode 100644 index 0000000000..32c96ee471 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_662_c1.err.txt @@ -0,0 +1,2 @@ +ND 4784 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 0 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_662_c1.out.txt b/research/one-sided-excess-three/evidence/logs/B_662_c1.out.txt new file mode 100644 index 0000000000..e98167b934 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_662_c1.out.txt @@ -0,0 +1,80 @@ +rep 1 lines 8 orbit 28 active 120 maxrank 2 +rep 3 lines 8 orbit 14 active 116 maxrank 2 +rep 5 lines 10 orbit 672 active 120 maxrank 3 +rep 7 lines 14 orbit 5376 active 119 maxrank 2 +rep 9 lines 7 orbit 3584 active 119 maxrank 2 +rep 11 lines 18 orbit 2688 active 139 maxrank 3 +rep 13 lines 16 orbit 1792 active 119 maxrank 2 +rep 15 lines 18 orbit 2688 active 155 maxrank 3 +rep 17 lines 11 orbit 10752 active 120 maxrank 2 +rep 19 lines 14 orbit 5376 active 119 maxrank 2 +rep 21 lines 11 orbit 10752 active 120 maxrank 0 +rep 23 lines 12 orbit 10752 active 120 maxrank 2 +rep 25 lines 14 orbit 1792 active 119 maxrank 2 +rep 27 lines 12 orbit 1792 active 119 maxrank 2 +rep 29 lines 16 orbit 1792 active 139 maxrank 2 +rep 31 lines 16 orbit 896 active 178 maxrank 2 +rep 33 lines 12 orbit 5376 active 120 maxrank 2 +rep 35 lines 12 orbit 1792 active 120 maxrank 2 +rep 37 lines 12 orbit 5376 active 120 maxrank 2 +rep 39 lines 12 orbit 896 active 118 maxrank 2 +rep 41 lines 12 orbit 5376 active 120 maxrank 2 +rep 43 lines 12 orbit 112 active 118 maxrank 3 +rep 45 lines 16 orbit 10752 active 120 maxrank 2 +rep 47 lines 10 orbit 5376 active 119 maxrank 2 +rep 49 lines 10 orbit 5376 active 120 maxrank 2 +rep 51 lines 14 orbit 3584 active 120 maxrank 2 +rep 53 lines 16 orbit 5376 active 136 maxrank 2 +rep 55 lines 12 orbit 21504 active 120 maxrank 2 +rep 57 lines 16 orbit 3584 active 136 maxrank 2 +rep 59 lines 16 orbit 2688 active 128 maxrank 2 +rep 61 lines 16 orbit 1344 active 128 maxrank 2 +rep 63 lines 20 orbit 896 active 312 maxrank 3 +rep 65 lines 12 orbit 2688 active 120 maxrank 0 +rep 67 lines 14 orbit 21504 active 120 maxrank 1 +rep 69 lines 12 orbit 112 active 118 maxrank 3 +rep 71 lines 14 orbit 672 active 120 maxrank 2 +rep 73 lines 12 orbit 896 active 118 maxrank 2 +rep 75 lines 16 orbit 168 active 150 maxrank 3 +rep 77 lines 7 orbit 512 active 119 maxrank 0 +rep 79 lines 8 orbit 336 active 120 maxrank 0 +rep 81 lines 16 orbit 672 active 152 maxrank 4 +rep 83 lines 16 orbit 168 active 120 maxrank 3 +rep 85 lines 12 orbit 28 active 120 maxrank 2 +rep 87 lines 16 orbit 21504 active 144 maxrank 1 +rep 89 lines 14 orbit 21504 active 120 maxrank 2 +rep 91 lines 20 orbit 2688 active 184 maxrank 3 +rep 93 lines 10 orbit 10752 active 120 maxrank 2 +rep 95 lines 12 orbit 1792 active 119 maxrank 1 +rep 97 lines 14 orbit 1792 active 119 maxrank 2 +rep 99 lines 15 orbit 3584 active 120 maxrank 2 +rep 101 lines 10 orbit 10752 active 120 maxrank 2 +rep 103 lines 11 orbit 21504 active 120 maxrank 2 +rep 105 lines 19 orbit 3584 active 174 maxrank 3 +rep 107 lines 19 orbit 14336 active 216 maxrank 3 +rep 109 lines 14 orbit 5376 active 120 maxrank 2 +rep 111 lines 18 orbit 224 active 144 maxrank 4 +rep 113 lines 12 orbit 672 active 120 maxrank 4 +rep 115 lines 10 orbit 2688 active 119 maxrank 0 +rep 117 lines 14 orbit 5376 active 119 maxrank 2 +rep 119 lines 16 orbit 336 active 152 maxrank 3 +rep 121 lines 12 orbit 336 active 120 maxrank 3 +rep 123 lines 10 orbit 1344 active 120 maxrank 2 +rep 125 lines 16 orbit 10752 active 146 maxrank 2 +rep 127 lines 16 orbit 3584 active 148 maxrank 2 +rep 129 lines 16 orbit 448 active 135 maxrank 3 +rep 131 lines 8 orbit 336 active 118 maxrank 2 +rep 133 lines 12 orbit 896 active 119 maxrank 2 +rep 135 lines 16 orbit 10752 active 136 maxrank 2 +rep 137 lines 20 orbit 5376 active 232 maxrank 3 +rep 139 lines 12 orbit 1792 active 120 maxrank 2 +rep 141 lines 16 orbit 1792 active 143 maxrank 3 +rep 143 lines 10 orbit 10752 active 120 maxrank 2 +rep 145 lines 12 orbit 1792 active 120 maxrank 0 +rep 147 lines 16 orbit 336 active 120 maxrank 3 +rep 149 lines 8 orbit 168 active 118 maxrank 2 +rep 151 lines 12 orbit 336 active 120 maxrank 2 +rep 153 lines 18 orbit 672 active 152 maxrank 3 +rep 155 lines 16 orbit 84 active 118 maxrank 3 +rep 157 lines 16 orbit 7 active 120 maxrank 2 +RESULT dims 6 6 s 2 lim 78 chunk 1/2: nreps 159, max relaxed rank 4, max #dirs 6, #pairs rank>=8: 0, refine max exact rank 0; hist 1:12382 2:10530 3:763 4:42 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c0.err.txt b/research/one-sided-excess-three/evidence/logs/B_664_c0.err.txt new file mode 100644 index 0000000000..7f1acb85ba --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c0.err.txt @@ -0,0 +1,2 @@ +ND 5680 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 161420 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c0.out.txt b/research/one-sided-excess-three/evidence/logs/B_664_c0.out.txt new file mode 100644 index 0000000000..033383a15e --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c0.out.txt @@ -0,0 +1,49 @@ +rep 0 lines 8 orbit 336 active 120 maxrank 3 +rep 4 lines 8 orbit 1792 active 120 maxrank 2 +rep 8 lines 10 orbit 2688 active 120 maxrank 3 +rep 12 lines 18 orbit 5376 active 398 maxrank 4 +rep 16 lines 6 orbit 672 active 120 maxrank 3 +rep 20 lines 14 orbit 5376 active 146 maxrank 3 +rep 24 lines 12 orbit 5376 active 120 maxrank 3 +rep 28 lines 12 orbit 336 active 120 maxrank 5 +rep 32 lines 16 orbit 896 active 280 maxrank 3 +rep 36 lines 12 orbit 3584 active 120 maxrank 3 +rep 40 lines 20 orbit 896 active 750 maxrank 4 +rep 44 lines 12 orbit 672 active 120 maxrank 4 +rep 48 lines 10 orbit 5376 active 120 maxrank 2 +rep 52 lines 14 orbit 10752 active 144 maxrank 4 +rep 56 lines 16 orbit 5376 active 182 maxrank 4 +rep 60 lines 16 orbit 2688 active 208 maxrank 3 +rep 64 lines 14 orbit 3584 active 152 maxrank 4 +rep 68 lines 15 orbit 43008 active 154 maxrank 2 +rep 72 lines 18 orbit 10752 active 360 maxrank 4 +rep 76 lines 16 orbit 168 active 152 maxrank 6 +rep 80 lines 16 orbit 1344 active 208 maxrank 3 +rep 84 lines 16 orbit 168 active 280 maxrank 6 +rep 88 lines 16 orbit 5376 active 200 maxrank 5 +rep 92 lines 12 orbit 2688 active 120 maxrank 3 +rep 96 lines 12 orbit 1792 active 120 maxrank 3 +rep 100 lines 15 orbit 43008 active 174 maxrank 3 +rep 104 lines 15 orbit 14336 active 120 maxrank 2 +rep 108 lines 19 orbit 10752 active 560 maxrank 4 +rep 112 lines 16 orbit 2688 active 280 maxrank 3 +rep 116 lines 14 orbit 5376 active 175 maxrank 3 +rep 120 lines 16 orbit 168 active 280 maxrank 4 +rep 124 lines 16 orbit 3584 active 200 maxrank 4 +rep 128 lines 12 orbit 224 active 120 maxrank 5 +rep 132 lines 16 orbit 5376 active 192 maxrank 4 +rep 136 lines 20 orbit 5376 active 840 maxrank 4 +rep 140 lines 16 orbit 1792 active 192 maxrank 3 +rep 144 lines 14 orbit 5376 active 150 maxrank 3 +rep 148 lines 8 orbit 168 active 120 maxrank 3 +rep 152 lines 16 orbit 672 active 186 maxrank 3 +RANK8 rep 156 j 511966 n 32 + REFINE exact-with-3flat max rank 4 (V3 idx 68434) +RANK8 rep 156 j 569370 n 32 + REFINE exact-with-3flat max rank 4 (V3 idx 70788) +RANK8 rep 156 j 593414 n 32 + REFINE exact-with-3flat max rank 4 (V3 idx 27682) +RANK8 rep 156 j 593420 n 32 + REFINE exact-with-3flat max rank 4 (V3 idx 28941) +rep 156 lines 20 orbit 336 active 904 maxrank 8 +RESULT dims 6 6 s 4 lim 80 chunk 0/4: nreps 159, max relaxed rank 8, max #dirs 32, #pairs rank>=8: 4, refine max exact rank 4; hist 1:55926 2:48008 3:5097 4:671 5:137 6:20 7:10 8:4 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c1.err.txt b/research/one-sided-excess-three/evidence/logs/B_664_c1.err.txt new file mode 100644 index 0000000000..7f1acb85ba --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c1.err.txt @@ -0,0 +1,2 @@ +ND 5680 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 161420 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c1.out.txt b/research/one-sided-excess-three/evidence/logs/B_664_c1.out.txt new file mode 100644 index 0000000000..f3028523b2 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c1.out.txt @@ -0,0 +1,43 @@ +rep 1 lines 8 orbit 28 active 120 maxrank 2 +rep 5 lines 10 orbit 672 active 120 maxrank 5 +rep 9 lines 7 orbit 3584 active 120 maxrank 2 +rep 13 lines 16 orbit 1792 active 120 maxrank 3 +rep 17 lines 11 orbit 10752 active 120 maxrank 3 +rep 21 lines 11 orbit 10752 active 120 maxrank 2 +rep 25 lines 14 orbit 1792 active 120 maxrank 3 +rep 29 lines 16 orbit 1792 active 224 maxrank 4 +rep 33 lines 12 orbit 5376 active 120 maxrank 3 +rep 37 lines 12 orbit 5376 active 120 maxrank 3 +rep 41 lines 12 orbit 5376 active 120 maxrank 2 +rep 45 lines 16 orbit 10752 active 120 maxrank 4 +rep 49 lines 10 orbit 5376 active 120 maxrank 3 +rep 53 lines 16 orbit 5376 active 192 maxrank 4 +rep 57 lines 16 orbit 3584 active 200 maxrank 3 +rep 61 lines 16 orbit 1344 active 200 maxrank 4 +rep 65 lines 12 orbit 2688 active 120 maxrank 2 +rep 69 lines 12 orbit 112 active 120 maxrank 3 +rep 73 lines 12 orbit 896 active 120 maxrank 3 +rep 77 lines 7 orbit 512 active 120 maxrank 2 +rep 81 lines 16 orbit 672 active 184 maxrank 5 +rep 85 lines 12 orbit 28 active 120 maxrank 3 +rep 89 lines 14 orbit 21504 active 148 maxrank 3 +rep 93 lines 10 orbit 10752 active 120 maxrank 2 +rep 97 lines 14 orbit 1792 active 120 maxrank 3 +rep 101 lines 10 orbit 10752 active 120 maxrank 2 +rep 105 lines 19 orbit 3584 active 712 maxrank 4 +rep 109 lines 14 orbit 5376 active 120 maxrank 2 +rep 113 lines 12 orbit 672 active 120 maxrank 4 +rep 117 lines 14 orbit 5376 active 160 maxrank 3 +rep 121 lines 12 orbit 336 active 120 maxrank 6 +rep 125 lines 16 orbit 10752 active 226 maxrank 4 +rep 129 lines 16 orbit 448 active 208 maxrank 3 +rep 133 lines 12 orbit 896 active 120 maxrank 2 +rep 137 lines 20 orbit 5376 active 786 maxrank 5 +rep 141 lines 16 orbit 1792 active 216 maxrank 3 +rep 145 lines 12 orbit 1792 active 120 maxrank 2 +rep 149 lines 8 orbit 168 active 120 maxrank 3 +RANK8 rep 153 j 570114 n 26 + REFINE exact-with-3flat max rank 3 (V3 idx 26295) +rep 153 lines 18 orbit 672 active 280 maxrank 8 +rep 157 lines 16 orbit 7 active 280 maxrank 6 +RESULT dims 6 6 s 4 lim 80 chunk 1/4: nreps 159, max relaxed rank 8, max #dirs 30, #pairs rank>=8: 1, refine max exact rank 3; hist 1:36591 2:41844 3:3893 4:276 5:55 6:87 7:0 8:1 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c2.err.txt b/research/one-sided-excess-three/evidence/logs/B_664_c2.err.txt new file mode 100644 index 0000000000..7f1acb85ba --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c2.err.txt @@ -0,0 +1,2 @@ +ND 5680 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 161420 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c2.out.txt b/research/one-sided-excess-three/evidence/logs/B_664_c2.out.txt new file mode 100644 index 0000000000..f67977365f --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c2.out.txt @@ -0,0 +1,41 @@ +rep 2 lines 4 orbit 28 active 120 maxrank 2 +rep 6 lines 16 orbit 1792 active 176 maxrank 3 +rep 10 lines 8 orbit 2688 active 120 maxrank 2 +rep 14 lines 14 orbit 5376 active 120 maxrank 2 +rep 18 lines 12 orbit 5376 active 120 maxrank 3 +rep 22 lines 12 orbit 3584 active 120 maxrank 3 +rep 26 lines 16 orbit 1344 active 280 maxrank 4 +rep 30 lines 6 orbit 224 active 120 maxrank 3 +rep 34 lines 16 orbit 2688 active 208 maxrank 2 +rep 38 lines 16 orbit 1344 active 200 maxrank 4 +rep 42 lines 16 orbit 672 active 208 maxrank 3 +rep 46 lines 8 orbit 896 active 120 maxrank 2 +rep 50 lines 14 orbit 10752 active 152 maxrank 4 +rep 54 lines 12 orbit 10752 active 120 maxrank 2 +rep 58 lines 12 orbit 5376 active 120 maxrank 3 +rep 62 lines 16 orbit 2688 active 248 maxrank 4 +rep 66 lines 12 orbit 10752 active 120 maxrank 3 +rep 70 lines 12 orbit 672 active 120 maxrank 5 +rep 74 lines 12 orbit 336 active 120 maxrank 4 +rep 78 lines 8 orbit 672 active 120 maxrank 3 +rep 82 lines 14 orbit 672 active 144 maxrank 7 +rep 86 lines 16 orbit 10752 active 228 maxrank 4 +rep 90 lines 18 orbit 10752 active 408 maxrank 4 +rep 94 lines 15 orbit 21504 active 188 maxrank 4 +rep 98 lines 15 orbit 3584 active 170 maxrank 3 +rep 102 lines 11 orbit 43008 active 120 maxrank 3 +rep 106 lines 15 orbit 14336 active 183 maxrank 3 +rep 110 lines 12 orbit 672 active 120 maxrank 4 +rep 114 lines 8 orbit 336 active 120 maxrank 4 +rep 118 lines 12 orbit 1792 active 120 maxrank 3 +rep 122 lines 10 orbit 672 active 120 maxrank 5 +rep 126 lines 20 orbit 1792 active 848 maxrank 4 +rep 130 lines 14 orbit 10752 active 144 maxrank 2 +rep 134 lines 16 orbit 10752 active 230 maxrank 5 +rep 138 lines 20 orbit 1792 active 766 maxrank 5 +rep 142 lines 12 orbit 1792 active 120 maxrank 3 +rep 146 lines 12 orbit 3584 active 120 maxrank 3 +rep 150 lines 12 orbit 336 active 120 maxrank 7 +rep 154 lines 14 orbit 1344 active 144 maxrank 6 +rep 158 lines 16 orbit 336 active 184 maxrank 7 +RESULT dims 6 6 s 4 lim 80 chunk 2/4: nreps 159, max relaxed rank 7, max #dirs 18, #pairs rank>=8: 0, refine max exact rank 0; hist 1:70042 2:74751 3:3806 4:320 5:61 6:8 7:6 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c3.err.txt b/research/one-sided-excess-three/evidence/logs/B_664_c3.err.txt new file mode 100644 index 0000000000..7f1acb85ba --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c3.err.txt @@ -0,0 +1,2 @@ +ND 5680 7flats 43180 flatsA 776805 flatsB 776805 gwB 20 V3 161420 +V1 orbits 159 diff --git a/research/one-sided-excess-three/evidence/logs/B_664_c3.out.txt b/research/one-sided-excess-three/evidence/logs/B_664_c3.out.txt new file mode 100644 index 0000000000..2e23936bb9 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_664_c3.out.txt @@ -0,0 +1,42 @@ +rep 3 lines 8 orbit 14 active 120 maxrank 3 +rep 7 lines 14 orbit 5376 active 144 maxrank 2 +rep 11 lines 18 orbit 2688 active 516 maxrank 4 +rep 15 lines 18 orbit 2688 active 340 maxrank 4 +rep 19 lines 14 orbit 5376 active 152 maxrank 4 +rep 23 lines 12 orbit 10752 active 120 maxrank 3 +rep 27 lines 12 orbit 1792 active 120 maxrank 3 +rep 31 lines 16 orbit 896 active 186 maxrank 3 +rep 35 lines 12 orbit 1792 active 120 maxrank 3 +rep 39 lines 12 orbit 896 active 120 maxrank 3 +rep 43 lines 12 orbit 112 active 120 maxrank 3 +rep 47 lines 10 orbit 5376 active 120 maxrank 2 +rep 51 lines 14 orbit 3584 active 179 maxrank 4 +rep 55 lines 12 orbit 21504 active 120 maxrank 3 +rep 59 lines 16 orbit 2688 active 200 maxrank 4 +rep 63 lines 20 orbit 896 active 884 maxrank 4 +rep 67 lines 14 orbit 21504 active 144 maxrank 3 +rep 71 lines 14 orbit 672 active 160 maxrank 5 +rep 75 lines 16 orbit 168 active 184 maxrank 5 +rep 79 lines 8 orbit 336 active 120 maxrank 2 +rep 83 lines 16 orbit 168 active 200 maxrank 7 +rep 87 lines 16 orbit 21504 active 196 maxrank 4 +rep 91 lines 20 orbit 2688 active 816 maxrank 5 +rep 95 lines 12 orbit 1792 active 120 maxrank 3 +rep 99 lines 15 orbit 3584 active 162 maxrank 3 +rep 103 lines 11 orbit 21504 active 120 maxrank 3 +rep 107 lines 19 orbit 14336 active 560 maxrank 4 +RANK8 rep 111 j 761852 n 26 + REFINE exact-with-3flat max rank 3 (V3 idx 25210) +rep 111 lines 18 orbit 224 active 552 maxrank 8 +rep 115 lines 10 orbit 2688 active 120 maxrank 2 +rep 119 lines 16 orbit 336 active 216 maxrank 5 +rep 123 lines 10 orbit 1344 active 120 maxrank 5 +rep 127 lines 16 orbit 3584 active 224 maxrank 4 +rep 131 lines 8 orbit 336 active 120 maxrank 3 +rep 135 lines 16 orbit 10752 active 196 maxrank 3 +rep 139 lines 12 orbit 1792 active 120 maxrank 2 +rep 143 lines 10 orbit 10752 active 120 maxrank 3 +rep 147 lines 16 orbit 336 active 248 maxrank 5 +rep 151 lines 12 orbit 336 active 120 maxrank 7 +rep 155 lines 16 orbit 84 active 200 maxrank 7 +RESULT dims 6 6 s 4 lim 80 chunk 3/4: nreps 159, max relaxed rank 8, max #dirs 30, #pairs rank>=8: 1, refine max exact rank 3; hist 1:156525 2:427988 3:11769 4:2138 5:290 6:29 7:20 8:1 diff --git a/research/one-sided-excess-three/evidence/logs/B_740.err.txt b/research/one-sided-excess-three/evidence/logs/B_740.err.txt new file mode 100644 index 0000000000..2571cac112 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_740.err.txt @@ -0,0 +1,2 @@ +ND 5680 7flats 43180 flatsA 43180 flatsB 1708358 gwB 8 V3 0 +V1 orbits 51 diff --git a/research/one-sided-excess-three/evidence/logs/B_740.out.txt b/research/one-sided-excess-three/evidence/logs/B_740.out.txt new file mode 100644 index 0000000000..0238bab3bd --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_740.out.txt @@ -0,0 +1,52 @@ +rep 0 lines 32 orbit 224 active 117 maxrank 0 +rep 1 lines 24 orbit 224 active 27 maxrank 0 +rep 2 lines 22 orbit 896 active 0 maxrank 0 +rep 3 lines 20 orbit 168 active 0 maxrank 0 +rep 4 lines 24 orbit 28 active 30 maxrank 2 +rep 5 lines 28 orbit 168 active 92 maxrank 2 +rep 6 lines 28 orbit 448 active 57 maxrank 1 +rep 7 lines 24 orbit 896 active 25 maxrank 1 +rep 8 lines 24 orbit 448 active 0 maxrank 0 +rep 9 lines 28 orbit 64 active 63 maxrank 0 +rep 10 lines 28 orbit 448 active 86 maxrank 2 +rep 11 lines 24 orbit 448 active 25 maxrank 1 +rep 12 lines 22 orbit 2688 active 4 maxrank 2 +rep 13 lines 28 orbit 168 active 94 maxrank 2 +rep 14 lines 24 orbit 56 active 0 maxrank 0 +rep 15 lines 24 orbit 448 active 27 maxrank 0 +rep 16 lines 28 orbit 448 active 57 maxrank 1 +rep 17 lines 28 orbit 896 active 63 maxrank 0 +rep 18 lines 32 orbit 448 active 136 maxrank 0 +rep 19 lines 28 orbit 896 active 84 maxrank 0 +rep 20 lines 32 orbit 896 active 135 maxrank 0 +rep 21 lines 32 orbit 112 active 136 maxrank 0 +rep 22 lines 28 orbit 896 active 57 maxrank 1 +rep 23 lines 28 orbit 896 active 84 maxrank 1 +rep 24 lines 28 orbit 64 active 63 maxrank 0 +rep 25 lines 28 orbit 128 active 57 maxrank 1 +rep 26 lines 28 orbit 448 active 29 maxrank 2 +rep 27 lines 28 orbit 448 active 84 maxrank 2 +rep 28 lines 24 orbit 448 active 26 maxrank 2 +rep 29 lines 32 orbit 224 active 127 maxrank 0 +rep 30 lines 32 orbit 336 active 95 maxrank 3 +rep 31 lines 32 orbit 336 active 136 maxrank 2 +rep 32 lines 32 orbit 448 active 95 maxrank 2 +rep 33 lines 26 orbit 2688 active 29 maxrank 2 +rep 34 lines 34 orbit 896 active 117 maxrank 0 +rep 35 lines 34 orbit 2688 active 135 maxrank 0 +rep 36 lines 24 orbit 448 active 26 maxrank 2 +rep 37 lines 30 orbit 2688 active 114 maxrank 1 +rep 38 lines 30 orbit 5376 active 95 maxrank 2 +rep 39 lines 26 orbit 5376 active 35 maxrank 1 +rep 40 lines 32 orbit 448 active 94 maxrank 2 +rep 41 lines 30 orbit 2688 active 94 maxrank 2 +rep 42 lines 26 orbit 2688 active 41 maxrank 0 +rep 43 lines 24 orbit 56 active 0 maxrank 0 +rep 44 lines 24 orbit 224 active 29 maxrank 2 +rep 45 lines 16 orbit 7 active 0 maxrank 0 +rep 46 lines 32 orbit 21 active 136 maxrank 4 +rep 47 lines 36 orbit 448 active 135 maxrank 0 +rep 48 lines 24 orbit 28 active 26 maxrank 2 +rep 49 lines 32 orbit 56 active 95 maxrank 3 +rep 50 lines 20 orbit 168 active 2 maxrank 2 +RESULT dims 7 4 s 0 lim 80 chunk 0/1: nreps 51, max relaxed rank 4, max #dirs 12, #pairs rank>=8: 0, refine max exact rank 0; hist 1:11376730 2:1854403 3:6 4:2 5:0 6:0 7:0 8:0 diff --git a/research/one-sided-excess-three/evidence/logs/B_ctl77.err.txt b/research/one-sided-excess-three/evidence/logs/B_ctl77.err.txt new file mode 100644 index 0000000000..6a242d3f6a --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_ctl77.err.txt @@ -0,0 +1,2 @@ +ND 1200 7flats 43180 flatsA 43180 flatsB 43180 gwB 36 V3 0 +V1 orbits 51 diff --git a/research/one-sided-excess-three/evidence/logs/B_ctl77.out.txt b/research/one-sided-excess-three/evidence/logs/B_ctl77.out.txt new file mode 100644 index 0000000000..866e45e59c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/B_ctl77.out.txt @@ -0,0 +1,204 @@ +RANK8 rep 0 j 12576 n 67 +RANK8 rep 0 j 23083 n 67 +rep 0 lines 32 orbit 224 active 1200 maxrank 8 +RANK8 rep 1 j 12772 n 60 +RANK8 rep 1 j 22887 n 60 +rep 1 lines 24 orbit 224 active 1200 maxrank 8 +RANK8 rep 2 j 15081 n 60 +RANK8 rep 2 j 27083 n 60 +RANK8 rep 2 j 35904 n 60 +rep 2 lines 22 orbit 896 active 1200 maxrank 8 +RANK8 rep 3 j 3354 n 60 +RANK8 rep 3 j 4613 n 60 +RANK8 rep 3 j 42432 n 56 +rep 3 lines 20 orbit 168 active 1200 maxrank 8 +RANK8 rep 4 j 3011 n 56 +rep 4 lines 24 orbit 28 active 1198 maxrank 8 +RANK8 rep 5 j 3030 n 68 +RANK8 rep 5 j 4811 n 68 +RANK8 rep 5 j 41029 n 56 +rep 5 lines 28 orbit 168 active 1200 maxrank 8 +RANK8 rep 6 j 12697 n 61 +RANK8 rep 6 j 22958 n 60 +RANK8 rep 6 j 35056 n 80 +rep 6 lines 28 orbit 448 active 1200 maxrank 8 +RANK8 rep 7 j 17383 n 64 +RANK8 rep 7 j 20940 n 61 +RANK8 rep 7 j 34270 n 60 +rep 7 lines 24 orbit 896 active 1200 maxrank 8 +RANK8 rep 8 j 17508 n 60 +RANK8 rep 8 j 20815 n 64 +RANK8 rep 8 j 34082 n 60 +rep 8 lines 24 orbit 448 active 1200 maxrank 8 +RANK8 rep 9 j 17452 n 64 +RANK8 rep 9 j 20791 n 64 +rep 9 lines 28 orbit 64 active 1200 maxrank 8 +RANK8 rep 10 j 2360 n 60 +RANK8 rep 10 j 24111 n 67 +rep 10 lines 28 orbit 448 active 1200 maxrank 8 +RANK8 rep 11 j 2693 n 61 +RANK8 rep 11 j 5018 n 68 +RANK8 rep 11 j 40276 n 56 +rep 11 lines 24 orbit 448 active 1200 maxrank 8 +RANK8 rep 12 j 8980 n 60 +RANK8 rep 12 j 11719 n 61 +RANK8 rep 12 j 38789 n 61 +rep 12 lines 22 orbit 2688 active 1200 maxrank 8 +RANK8 rep 13 j 3654 n 67 +RANK8 rep 13 j 4377 n 67 +RANK8 rep 13 j 38144 n 56 +rep 13 lines 28 orbit 168 active 1198 maxrank 8 +RANK8 rep 14 j 3670 n 64 +RANK8 rep 14 j 4361 n 64 +RANK8 rep 14 j 38128 n 56 +rep 14 lines 24 orbit 56 active 1200 maxrank 8 +RANK8 rep 15 j 2506 n 60 +RANK8 rep 15 j 5077 n 67 +RANK8 rep 15 j 36864 n 56 +rep 15 lines 24 orbit 448 active 1200 maxrank 8 +RANK8 rep 16 j 2357 n 60 +RANK8 rep 16 j 24110 n 68 +RANK8 rep 16 j 26896 n 78 +rep 16 lines 28 orbit 448 active 1200 maxrank 8 +RANK8 rep 17 j 2278 n 60 +RANK8 rep 17 j 21536 n 64 +RANK8 rep 17 j 30237 n 67 +rep 17 lines 28 orbit 896 active 1200 maxrank 8 +RANK8 rep 18 j 1908 n 68 +RANK8 rep 18 j 18094 n 64 +RANK8 rep 18 j 31391 n 68 +rep 18 lines 32 orbit 448 active 1200 maxrank 8 +RANK8 rep 19 j 1910 n 60 +RANK8 rep 19 j 18092 n 64 +RANK8 rep 19 j 31377 n 68 +rep 19 lines 28 orbit 896 active 1200 maxrank 8 +RANK8 rep 20 j 1840 n 68 +RANK8 rep 20 j 21274 n 64 +RANK8 rep 20 j 30323 n 67 +rep 20 lines 32 orbit 896 active 1200 maxrank 8 +RANK8 rep 21 j 17689 n 64 +RANK8 rep 21 j 21346 n 64 +RANK8 rep 21 j 26139 n 80 +rep 21 lines 32 orbit 112 active 1200 maxrank 8 +RANK8 rep 22 j 17642 n 64 +RANK8 rep 22 j 21329 n 61 +RANK8 rep 22 j 26156 n 68 +rep 22 lines 28 orbit 896 active 1200 maxrank 8 +RANK8 rep 23 j 4097 n 61 +RANK8 rep 23 j 17091 n 64 +RANK8 rep 23 j 31278 n 67 +rep 23 lines 28 orbit 896 active 1200 maxrank 8 +RANK8 rep 24 j 17340 n 64 +RANK8 rep 24 j 20903 n 64 +rep 24 lines 28 orbit 64 active 1200 maxrank 8 +RANK8 rep 25 j 17338 n 64 +RANK8 rep 25 j 20901 n 64 +RANK8 rep 25 j 26520 n 78 +rep 25 lines 28 orbit 128 active 1200 maxrank 8 +RANK8 rep 26 j 17322 n 67 +RANK8 rep 26 j 20917 n 61 +RANK8 rep 26 j 26504 n 78 +rep 26 lines 28 orbit 448 active 1200 maxrank 8 +RANK8 rep 27 j 2760 n 68 +RANK8 rep 27 j 24031 n 61 +rep 27 lines 28 orbit 448 active 1200 maxrank 8 +RANK8 rep 28 j 12626 n 61 +RANK8 rep 28 j 23029 n 60 +RANK8 rep 28 j 25779 n 78 +rep 28 lines 24 orbit 448 active 1200 maxrank 8 +RANK8 rep 29 j 12644 n 68 +RANK8 rep 29 j 23015 n 68 +rep 29 lines 32 orbit 224 active 1200 maxrank 8 +RANK8 rep 30 j 12413 n 61 +RANK8 rep 30 j 23242 n 67 +RANK8 rep 30 j 25519 n 80 +rep 30 lines 32 orbit 336 active 1200 maxrank 8 +RANK8 rep 31 j 12914 n 68 +RANK8 rep 31 j 22741 n 60 +RANK8 rep 31 j 25427 n 80 +rep 31 lines 32 orbit 336 active 1200 maxrank 8 +RANK8 rep 32 j 15937 n 68 +RANK8 rep 32 j 21726 n 67 +RANK8 rep 32 j 25659 n 78 +rep 32 lines 32 orbit 448 active 1200 maxrank 8 +RANK8 rep 33 j 10473 n 61 +RANK8 rep 33 j 14207 n 61 +RANK8 rep 33 j 31098 n 67 +rep 33 lines 26 orbit 2688 active 1200 maxrank 8 +RANK8 rep 34 j 8402 n 67 +RANK8 rep 34 j 18388 n 67 +RANK8 rep 34 j 29461 n 67 +rep 34 lines 34 orbit 896 active 1200 maxrank 8 +RANK8 rep 35 j 8433 n 68 +RANK8 rep 35 j 18355 n 67 +RANK8 rep 35 j 29430 n 68 +rep 35 lines 34 orbit 2688 active 1200 maxrank 8 +RANK8 rep 36 j 11381 n 64 +RANK8 rep 36 j 20151 n 61 +RANK8 rep 36 j 26980 n 61 +rep 36 lines 24 orbit 448 active 1200 maxrank 8 +RANK8 rep 37 j 8491 n 68 +RANK8 rep 37 j 18297 n 60 +RANK8 rep 37 j 28446 n 68 +rep 37 lines 30 orbit 2688 active 1200 maxrank 8 +RANK8 rep 38 j 8460 n 61 +RANK8 rep 38 j 18330 n 68 +RANK8 rep 38 j 28413 n 67 +rep 38 lines 30 orbit 5376 active 1200 maxrank 8 +RANK8 rep 39 j 8231 n 61 +RANK8 rep 39 j 18981 n 60 +RANK8 rep 39 j 28274 n 68 +rep 39 lines 26 orbit 5376 active 1200 maxrank 8 +RANK8 rep 40 j 1974 n 64 +RANK8 rep 40 j 21204 n 67 +RANK8 rep 40 j 26255 n 67 +rep 40 lines 32 orbit 448 active 1200 maxrank 8 +RANK8 rep 41 j 11039 n 67 +RANK8 rep 41 j 13705 n 60 +RANK8 rep 41 j 27626 n 67 +rep 41 lines 30 orbit 2688 active 1200 maxrank 8 +RANK8 rep 42 j 10275 n 60 +RANK8 rep 42 j 14469 n 60 +RANK8 rep 42 j 27574 n 67 +rep 42 lines 26 orbit 2688 active 1200 maxrank 8 +RANK8 rep 43 j 3542 n 64 +RANK8 rep 43 j 4489 n 64 +RANK8 rep 43 j 30012 n 56 +rep 43 lines 24 orbit 56 active 1200 maxrank 8 +RANK8 rep 44 j 12752 n 61 +RANK8 rep 44 j 22907 n 61 +rep 44 lines 24 orbit 224 active 1200 maxrank 8 +RANK8 rep 45 j 3018 n 56 +RANK8 rep 45 j 4823 n 56 +RANK8 rep 45 j 23888 n 56 +rep 45 lines 16 orbit 7 active 1200 maxrank 8 +RANK8 rep 46 j 14 n 72 +RANK8 rep 46 j 3018 n 72 +RANK8 rep 46 j 3019 n 80 +RANK8 rep 46 j 4822 n 80 +RANK8 rep 46 j 4823 n 72 +RANK8 rep 46 j 5240 n 72 +RANK8 rep 46 j 23885 n 56 +RANK8 rep 46 j 23886 n 72 +RANK8 rep 46 j 23887 n 72 +RANK8 rep 46 j 23888 n 56 +RANK8 rep 46 j 24158 n 72 +RANK8 rep 46 j 24255 n 72 +RANK8 rep 46 j 43165 n 56 +rep 46 lines 32 orbit 21 active 1200 maxrank 8 +RANK8 rep 47 j 2103 n 80 +RANK8 rep 47 j 17962 n 68 +RANK8 rep 47 j 21073 n 67 +rep 47 lines 36 orbit 448 active 1200 maxrank 8 +RANK8 rep 48 j 364 n 56 +RANK8 rep 48 j 649 n 78 +RANK8 rep 48 j 24154 n 78 +rep 48 lines 24 orbit 28 active 1200 maxrank 8 +RANK8 rep 49 j 243 n 78 +RANK8 rep 49 j 24157 n 80 +rep 49 lines 32 orbit 56 active 1200 maxrank 8 +RANK8 rep 50 j 3334 n 61 +RANK8 rep 50 j 4633 n 61 +RANK8 rep 50 j 20471 n 56 +rep 50 lines 20 orbit 168 active 1198 maxrank 8 +RESULT dims 7 7 s 0 lim 76 chunk 0/1: nreps 51, max relaxed rank 8, max #dirs 80, #pairs rank>=8: 152, refine max exact rank 0; hist 1:616945 2:184008 3:37998 4:9097 5:392 6:822 7:34 8:152 diff --git a/research/one-sided-excess-three/evidence/logs/carrier3.err.txt b/research/one-sided-excess-three/evidence/logs/carrier3.err.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/carrier3.out.txt b/research/one-sided-excess-three/evidence/logs/carrier3.out.txt new file mode 100644 index 0000000000..86a0ce4d20 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/carrier3.out.txt @@ -0,0 +1,8 @@ +PASS beta(l_s,l_t) = 1 + mod 2 on all 112x112 pairs; distinct lines have inner product 0, +-1 +PASS frame labels z_i: beta(z_i,z_j) = 1 for all i,j (so z_i is not in the flat W_j = z_j^perp), and no z_i is the label of a P112 line +PASS root r_t (all 112): |Off| = 53, label rank 9, t is a coloop, span(Off minus t) = W_t = l_t^perp contains exactly the labels of Off minus t; every cocircuit of the 52 other lines has size >= 5 (minimum 20): deleting <= 4 lines never lowers the rank +PASS frame direction f_j (all 8): |Off| = 56, label rank 8 = W_j; every cocircuit has size >= 5 (minimum 24) +PASS Parity Lemma: 25088 pairwise non-orthogonal triples, none with label sum in {z_i}; 88704 pairwise non-orthogonal quadruples, none with label sum 0 +PASS Parity (ii) as used in the Carrier Lemma: 24276 quadruples of lines with label sum 0, none has a line non-orthogonal to the other three +PASS control: 7168 triples of P112 lines have label sum in {z_i} (necessarily with an orthogonal pair) +carrier3: 0 failing diff --git a/research/one-sided-excess-three/evidence/logs/cc_k3.log.txt b/research/one-sided-excess-three/evidence/logs/cc_k3.log.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/cc_s6x.log.txt b/research/one-sided-excess-three/evidence/logs/cc_s6x.log.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/gen3.err.txt b/research/one-sided-excess-three/evidence/logs/gen3.err.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/gen3.out.txt b/research/one-sided-excess-three/evidence/logs/gen3.out.txt new file mode 100644 index 0000000000..707bd8df3d --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/gen3.out.txt @@ -0,0 +1,8 @@ +dirs: roots 120 n4 1080 n6 3360 (expect 120 1080 3360) +A2 planes 1120 (expect 1120) +pencil generic Off counts {80: 224, 78: 896} +direction counts by |Off| (kind1): [(53, 112), (56, 8), (70, 128), (73, 896), (76, 56), (77, 2688), (79, 448), (80, 224)] +support-preserving perms 1344 (expect 1344) +group order on lines 172032 (expect 172032) +direction-list Off sets invariant under generators: OK +wrote data3.txt 5680 diff --git a/research/one-sided-excess-three/evidence/logs/gen80.err.txt b/research/one-sided-excess-three/evidence/logs/gen80.err.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/gen80.out.txt b/research/one-sided-excess-three/evidence/logs/gen80.out.txt new file mode 100644 index 0000000000..42879d5e3e --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/gen80.out.txt @@ -0,0 +1,6 @@ +finite directions |Off|<=77 by (norm,E8 lines perp,|Off|): [((2, 63, 53), 52), ((2, 63, 56), 5), ((4, 42, 70), 128), ((4, 42, 73), 896), ((4, 42, 76), 56), ((6, 37, 77), 2688), ((6, 37, 79), 448), ((6, 37, 80), 224), ((8, 63, 53), 60), ((8, 63, 56), 3)] +A2 planes (E8 lines perp, generic |Off|): [((36, 78), 896), ((36, 80), 224)] +wrote 4560 finite 1120 pencils +Aut(Hamming) order 1344 +group order on lines 172032 +gens ok, linear on labels diff --git a/research/one-sided-excess-three/evidence/logs/gen_cmp.log.txt b/research/one-sided-excess-three/evidence/logs/gen_cmp.log.txt new file mode 100644 index 0000000000..753b38830c --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/gen_cmp.log.txt @@ -0,0 +1,3 @@ +IDENTICAL data80.txt +IDENTICAL gens.txt +IDENTICAL data3.txt diff --git a/research/one-sided-excess-three/evidence/logs/land3.err.txt b/research/one-sided-excess-three/evidence/logs/land3.err.txt new file mode 100644 index 0000000000..e69de29bb2 diff --git a/research/one-sided-excess-three/evidence/logs/land3.out.txt b/research/one-sided-excess-three/evidence/logs/land3.out.txt new file mode 100644 index 0000000000..81b8d75f88 --- /dev/null +++ b/research/one-sided-excess-three/evidence/logs/land3.out.txt @@ -0,0 +1,32 @@ +d 1 slack 0 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 1 slack 1 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 1 slack 2 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 1 slack 3 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 2 slack 0 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 2 slack 1 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 2 slack 2 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 2 slack 3 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 3 slack 0 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 3 slack 1 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 3 slack 2 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 3 slack 3 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 4 slack 0 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 4 slack 1 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 4 slack 2 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 4 slack 3 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 5 slack 0 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 5 slack 1 {'LP': 0, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 5 slack 2 {'LP': 1, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 5 slack 3 {'LP': 1, 'BASIS': 3, 'PENCIL': 1, 'E2TRIPLE': 0, 'SURV': 0} [] +d 6 slack 0 {'LP': 1, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 6 slack 1 {'LP': 2, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 6 slack 2 {'LP': 5, 'BASIS': 3, 'PENCIL': 1, 'E2TRIPLE': 0, 'SURV': 0} [] +d 6 slack 3 {'LP': 14, 'BASIS': 5, 'PENCIL': 2, 'E2TRIPLE': 0, 'SURV': 0} [] +d 7 slack 0 {'LP': 2, 'BASIS': 0, 'PENCIL': 0, 'E2TRIPLE': 0, 'SURV': 0} [] +d 7 slack 1 {'LP': 6, 'BASIS': 2, 'PENCIL': 1, 'E2TRIPLE': 0, 'SURV': 0} [] +d 7 slack 2 {'LP': 16, 'BASIS': 4, 'PENCIL': 2, 'E2TRIPLE': 0, 'SURV': 0} [] +d 7 slack 3 {'LP': 34, 'BASIS': 9, 'PENCIL': 3, 'E2TRIPLE': 0, 'SURV': 2} [(3, [7, 7, 7, 6, 6, 6, 6, 6, 6, 1, 1], 4), (3, [7, 7, 7, 6, 6, 6, 6, 6, 6, 2], 3)] +d 8 slack 0 {'LP': 15, 'BASIS': 2, 'PENCIL': 1, 'E2TRIPLE': 0, 'SURV': 0} [] +d 8 slack 1 {'LP': 31, 'BASIS': 4, 'PENCIL': 2, 'E2TRIPLE': 0, 'SURV': 0} [] +d 8 slack 2 {'LP': 60, 'BASIS': 9, 'PENCIL': 3, 'E2TRIPLE': 0, 'SURV': 0} [] +d 8 slack 3 {'LP': 111, 'BASIS': 13, 'PENCIL': 3, 'E2TRIPLE': 0, 'SURV': 6} [(3, [7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 1, 1, 1], 5), (3, [7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 3], 3), (3, [7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 1, 1], 4), (3, [7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 2], 3), (3, [7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 1], 3), (3, [7, 7, 7, 7, 7, 7, 7, 7, 7, 4], 2)] diff --git a/research/one-sided-excess-three/requirements.txt b/research/one-sided-excess-three/requirements.txt new file mode 100644 index 0000000000..88cfcd2ccb --- /dev/null +++ b/research/one-sided-excess-three/requirements.txt @@ -0,0 +1,2 @@ +numpy>=2.0 +scipy diff --git a/research/one-sided-excess-three/verify.sh b/research/one-sided-excess-three/verify.sh new file mode 100644 index 0000000000..7887f45aa0 --- /dev/null +++ b/research/one-sided-excess-three/verify.sh @@ -0,0 +1,70 @@ +#!/usr/bin/env bash +# Verification of research/one-sided-excess-three (no kappa claim). usage: bash verify.sh [/fresh/output/dir] +# Needs: Python >= 3.11 with numpy >= 2.0 and scipy (PYTHON=/path/to/python to choose), and a C compiler `cc` (128-bit integers: gcc/clang). No SAT solver. +# Everything runs under `nice -n 10`, at most 3 processes at a time, each under `timeout 1200`; the chunked stages run as 3 fixed lanes (a single `wait` on the lanes, no wait loops). Expected: about 35-45 minutes. +# 0 MANIFEST.sha256 +# 1 data regeneration (gen.py 80, gen3.py) compared byte for byte with data/; land3.py 3 (slack-3 landscape); carrier3.py (finite inputs of the Carrier and Parity Lemmas) +# 2 compile s6x.c (implementation A, written for #2826 and extended) and k3.c (implementation B, written independently) +# 3 the kills of the 8 slack-3 survivors and the controls, both implementations, chunked +# 4 check_logs.py: every assertion of the README as a PASS/FAIL line +# Inherited inputs of #2816 / #2826 (flat caps, |Off| >= 70 off the roots and frame, DP/LP/Pencil/triple rules, Lemma B, direction list) are cited, not recomputed, except land3.py, which re-runs the DP/LP/Pencil/triple/Basis stages at slack <= 3. +set -uo pipefail +HERE=$(cd "$(dirname "$0")" && pwd) +OUT=${1:-$(mktemp -d "${TMPDIR:-/tmp}/excess-three.XXXXXX")} +mkdir -p "$OUT"; OUT=$(cd "$OUT" && pwd) +case "$OUT/" in "$HERE"/*) echo "output dir must be outside the package"; exit 2;; esac +PY="${PYTHON:-python3}"; export PYTHONDONTWRITEBYTECODE=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 OPENBLAS_NUM_THREADS=1 +TMO=""; command -v timeout >/dev/null 2>&1 && TMO="timeout 1200"; command -v gtimeout >/dev/null 2>&1 && TMO="gtimeout 1200" +[ -n "$TMO" ] || { echo "need timeout or gtimeout"; exit 2; } +WK="$OUT/work"; LOG="$OUT/logs"; mkdir -p "$WK" "$LOG"; : > "$OUT/all.out"; T0=$SECONDS +echo "== 0. manifest" +"$PY" -B "$HERE/checks/manifest_check.py" | tee -a "$OUT/all.out" | sed 's/^/ /'; grep -q '^FAIL' "$OUT/all.out" && { echo "step 0 FAILED"; exit 1; } +cp "$HERE"/checks/*.py "$HERE"/checks/*.c "$HERE"/data/* "$WK"/ +cd "$WK" +cat > runone.sh <<'RUN' +#!/usr/bin/env bash +# usage: runone.sh name cmd args... (cwd = work dir; output in $LOG/name.out / name.err; at most 3 attempts) +n=$1; shift +export PYTHONDONTWRITEBYTECODE=1 +for attempt in 1 2 3; do # a job that dies (signal from outside, timeout) is run once more; check_logs.py fails on a missing summary line + $TMO nice -n 10 "$@" > "$LOG/$n.out" 2> "$LOG/$n.err" && break +done +exit 0 +RUN +chmod +x runone.sh; export TMO LOG PYTHONDONTWRITEBYTECODE +echo "== 1. data regeneration, land3, carrier3 (3 processes)" +mkdir -p g80 g3; cp gen.py g80/; cp gen3.py g3/ +( cd g80 && ../runone.sh gen80 "$PY" -B gen.py 80 ) & +( cd g3 && ../runone.sh gen3 "$PY" -B gen3.py ) & +( ./runone.sh land3 "$PY" -B land3.py 3 ) & +wait +for p in "g80/data80.txt data80.txt" "g80/gens.txt gens.txt" "g3/data3.txt data3.txt"; do set -- $p; cmp -s "$1" "$2" && echo "IDENTICAL $2" || echo "DIFFERENT $2"; done > "$LOG/gen_cmp.log" +$TMO nice -n 10 "$PY" -B carrier3.py data80.txt > "$LOG/carrier3.out" 2> "$LOG/carrier3.err" +echo "== 2. compile" +cc -O2 -o s6x s6x.c 2> "$LOG/cc_s6x.log" || { echo "cc s6x failed"; exit 1; } +cc -O2 -o k3 k3.c 2> "$LOG/cc_k3.log" || { echo "cc k3 failed"; exit 1; } +echo "== 3. kills and controls, both implementations (3 lanes)" +reps() { seq -s, "$1" "$2" 158; } +: > jobs.txt +# implementation A (s6x): args data dimA dimB s lim [rep list] [RT] (RT = 8: exact refinement over all 161,420 third flats for relaxed rank 8) +for c in $(seq 0 23); do echo "A_664_c$c ./s6x data80.txt 6 6 4 80 $(reps $c 24) 8" >> jobs.txt; done +echo "A_ctl77 ./s6x data80.txt 7 7 0 76" >> jobs.txt +for c in 0 1 2; do echo "A_662_c$c ./s6x data80.txt 6 6 2 78 $(reps $c 3)" >> jobs.txt; done +echo "A_740 ./s6x data80.txt 7 4 0 80" >> jobs.txt +echo "A_660 ./s6x data80.txt 6 6 0 76" >> jobs.txt +# implementation B (k3): args data A B s lim chunk nchunk [refine] +for c in 0 1 2 3; do echo "B_664_c$c ./k3 data3.txt 6 6 4 80 $c 4 1" >> jobs.txt; done +echo "B_ctl77 ./k3 data3.txt 7 7 0 76 0 1" >> jobs.txt +for c in 0 1; do echo "B_662_c$c ./k3 data3.txt 6 6 2 78 $c 2" >> jobs.txt; done +echo "B_740 ./k3 data3.txt 7 4 0 80 0 1" >> jobs.txt +echo "B_660 ./k3 data3.txt 6 6 0 76 0 1" >> jobs.txt +# three fixed lanes (jobs dealt round-robin), each lane runs its jobs one after the other: at most 3 processes at a time +for k in 0 1 2; do awk -v k=$k 'NR % 3 == k' jobs.txt > lane$k.txt; done +for k in 0 1 2; do ( while read -r line; do ./runone.sh $line; done < lane$k.txt ) & done +wait +echo "== 4. assertions (check_logs.py)" +"$PY" -B "$HERE/checks/check_logs.py" "$LOG" | tee -a "$OUT/all.out" | sed 's/^/ /' +npass=$(grep -c '^PASS' "$OUT/all.out"); nfail=$(grep -c '^FAIL' "$OUT/all.out") +echo "== done in $((SECONDS - T0))s: $npass PASS, $nfail FAIL; logs in $OUT" +[ "$nfail" = 0 ] && { echo "PASS: all assertions hold"; exit 0; } +echo "FAIL"; exit 1