LotoPolo Stats — Pattern Analysis

Source: datasn · 16,751 draws (max inner_id=16754) · Last: 2026-04-30 23:00:00 · Reference: 16754 (procesate) · 🎯 Live Prospective Validation →
⚠️ Niciun model nu bate statistic random pe acest dataset
Walk-forward validation pe 1000 extrageri + paired bootstrap (n=2000) confirmă că nicio strategie (HOT, DOW Aware, Anti-Corr, Smart, Mean Rev) NU are advantaj robust peste hazard — toate p-values > 0.14, CI 95% conține zero. Diferențele observate (+0.1 — +0.3 pp) sunt în limita de fluctuație random.

Ce înseamnă pentru tine: Folosește acest sistem ca instrument descriptiv (vezi cele mai frecvente, overdue, bursty, pattern-uri DOW), NU ca instrument de predicție garantată. Loto polonez Multi este matematic indistingabil de un proces aleator când evaluăm capacitatea de a prezice top-30 combinații.

Ce e adevărat: Anti-corelațiile la nivel de pereche (ex: {1,9} cu chi²=30) există ca fenomen statistic, dar nu se traduc în advantaj predictiv exploatabil la nivel de selecție top-N.
🧪 Detalii rezultate riguros statistice (walk-forward + paired bootstrap) (click pentru tabel complet)
Test SYSTEM 2 (perechi) — walk-forward pe 1000 extrageri, baseline random=5.92%:
Strategie Δ vs rand CI 95% (pp) p-boot Robust?
dow_aware+0.31 pp[-0.12, +0.72]0.144✗ nu robust
hot+0.25 pp[-0.13, +0.62]0.239✗ nu robust
smart+0.16 pp[-0.19, +0.53]0.376✗ nu robust
anti_corr+0.11 pp[-0.31, +0.55]0.581✗ nu robust
Interpretare statistică: Pentru ✓ ROBUST trebuie: CI 95% inferior > 0 ȘI p_bootstrap < 0.05. Niciun rezultat nu trece.

De ce a părut anterior că HOT bate random cu +0.95 pp? Multiple testing bias (am testat 8+ strategii — era inevitabil ca una să "câștige" prin hazard) + single split bias (un seed nefavorabil pentru random) + selection bias (am ales strategiile post-hoc). Walk-forward + paired bootstrap eliminat aceste bias-uri.
📊 Backtest inițial (cu bias-uri) — pentru transparență (click)
⚠️ Aceste rezultate au fost contaminat de bias-uri statistice — paired walk-forward de mai sus arată că nu se reproduc. Păstrate pentru transparență istorică.

Strategie Sys 1 Sys 2 Sys 3 Câștigător la
🏆 HOT +0.21 pp +0.95 pp -0.15 pp Sys 2
🧠 Smart (pure confidence) +0.57 pp +0.76 pp -0.01 pp Sys 1
⚖️ Mean Reversion -0.07 pp +0.72 pp +0.11 pp Sys 3
📍 Recent Active +0.56 pp +0.31 pp -0.17 pp top 2 Sys 1
⭐ FEATURES NOI (doar sys 1):
🔗 Anti-Corr (corelații chi²) +0.47 pp +0.76 pp N/A sys 1+2 (nou)
🗓️ DOW Aware (zi × ora) +0.41 pp +0.83 pp N/A sys 1+2 (nou)
Random baseline 24.73% 5.45% 1.45%
🚫 Predict (vechi) +0.01 pp +0.23 pp -0.13 pp — nu folosi
Anti-predict +0.07 pp -0.07 pp -0.49 pp — sub random
📌 Recomandare per sistem: Sys 1 → 🧠 Smart | Sys 2 → 🏆 HOT | Sys 3 → ⚖️ Mean Rev (modurile se selectează automat când schimbi sistemul)

⚠️ Disclaimer onest: Improvement-urile sunt mici în absolut (sub 1 pp). Nu garantează câștig — ridică doar probabilitatea cu ~17% relativ peste hazard pe sys 2. Loto rămâne fundamental aleator. Sistemul ajută la informare, nu la siguranță.
SYS 1/1
16,754
80 combos · 100% of 16,754
SYS 2/2
16,754
3,160 combos · 100% of 16,754
SYS 3/3
16,754
82,173 combos · 100% of 16,754
SYS 4/4
16,754
1,470,317 combos · 100% of 16,754
SYS 5/5
6,000
24,305,410 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: drifting
Mod: 🚀 Imediat: 🚀 Iminent ⚠️ Sortări (experimentale, nu robust): 🏆 HOT 🧠 Smart ⚖️ Mean Rev 📍 Recent Doar sys 1: 🗓️ DOW 🔗 Anti-Corr
📊 Descriptive (informativ): ⏰ Overdue ❄️ Cold 💥 Bursty 📈 Drifting 📐 Periodic 🔄 Ciclic 🧪 Non-random
⚠️ Vechi (sub random): 🚫 Predict (vechi)

← Înapoi la lista

Combinație #14 = {15} random

Descriptive

Apariții
4184
Mean ± std
4 ± 3.47
CV (std/mean)
0.865
Min/Max gap
1 / 33
Last seen
16752 (gap actual: 2)

Percentile gap-uri

P25 / mediana / P75
2 / 3 / 5
P90 / P95
8 / 11
IQR
3

Streaks & Pattern

Hot streak (consecutive)
10
Cold streak (max absență)
33
Autocorrelation lag-1
0.006
Drift (h2-h1)
0.35
Best period T
T=28 (entropy=0.001)

Overdue Status

Current gap
2
vs mean (z-score)
-0.58 σ
vs P95
0.18x

Statistical Test (Chi-square)

chi²
77.06
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2928 / 1256 apariții
Mean train
3.89
MAE
2.61
Accuracy
32.9%
Erori per pred
[13,1,1,7,3,3,3,3,3,2,1,2,3,3,1,2,8,1,3,3,1,3,2,1,0,2,9,3,0,0,1,3,0,3,2,1,2,3,0,0,0,2,2,3,3,4,1,0,1,2,2,6,3,3,3,0,5,1,2,5,1,2,2,1,2,1,2,3,1,1,1,0,2,1,3,2,2,3,3,5,3,3,2,12,2,0,3,1,4,2,3,1,1,2,1,2,3,3,3,1,4,3,2,1,0,0,3,2,2,1,0,2,0,10,3,2,1,4,1,2,0,2,2,3,1,2,0,2,5,3,2,2,1,1,7,2,3,1,2,2,10,0,0,3,3,1,5,1,1,3,3,24,6,2,1,1,2,3,2,2,2,1,3,1,2,3,3,3,12,10,3,3,0,2,5,2,0,0,3,2,2,3,2,10,3,0,3,8,0,3,1,2,0,2,1,1,2,1,1,2,2,2,2,0,3,3,10,3,2,1,1,2,3,0,1,1,1,7,3,6,2,3,12,4,2,2,3,5,1,16,3,3,0,2,3,2,1,3,1,3,2,3,1,1,0,3,1,1,2,1,0,0,3,2,2,0,3,2,2,5,9,2,2,3,1,2,2,2,3,3,0,2,3,1,2,2,2,2,2,2,0,2,3,2,3,9,3,3,4,1,2,1,1,3,2,0,10,2,1,2,2,4,17,2,3,3,2,3,1,1,3,1,2,3,2,1,0,3,2,1,2,2,3,3,3,10,1,2,4,3,1,3,4,2,0,1,3,2,2,4,4,2,1,3,2,1,11,2,2,2,2,4,2,2,0,2,2,3,3,3,3,6,5,3,3,3,3,2,2,0,3,1,1,0,1,2,3,3,3,3,4,2,3,0,3,0,3,2,1,2,2,2,5,3,5,9,1,2,3,4,0,1,3,2,2,3,2,2,3,3,11,5,2,2,7,3,3,2,3,7,6,3,2,1,0,3,2,8,3,0,1,2,2,3,1,1,3,2,7,2,2,3,1,1,1,2,6,1,2,0,0,0,10,3,3,1,1,0,0,2,3,1,6,0,7,0,8,0,1,0,1,3,2,2,7,1,0,0,1,1,1,0,1,1,7,6,3,2,0,0,1,0,1,7,2,4,2,1,10,3,3,1,3,2,3,1,2,3,1,1,1,4,3,3,1,2,0,3,2,2,2,1,2,2,1,3,2,2,3,3,1,0,3,1,3,0,1,3,2,3,3,1,8,15,2,3,3,8,3,2,3,3,3,3,0,3,2,3,2,3,2,4,2,0,3,1,1,1,2,1,6,1,3,2,1,2,2,2,1,0,2,1,2,4,8,1,4,2,3,1,0,3,6,1,1,3,2,1,3,3,2,1,3,2,3,2,2,10,3,2,2,3,3,3,4,3,3,0,1,1,1,1,3,6,1,9,5,2,0,1,1,2,1,2,2,3,1,1,3,3,2,5,4,6,1,1,3,1,3,3,2,2,3,1,3,3,2,3,0,2,8,4,2,1,2,0,10,3,1,2,3,3,1,11,5,1,1,1,0,2,0,1,2,2,0,3,1,3,1,1,2,1,3,2,10,1,2,2,2,3,7,0,4,4,3,0,3,1,5,2,4,3,1,3,6,1,2,2,1,2,0,3,1,12,2,3,3,0,3,5,2,2,6,0,3,2,3,1,3,3,2,0,2,8,2,2,2,3,3,3,0,3,0,5,3,3,1,1,0,2,2,13,0,1,1,3,2,3,3,3,1,1,0,1,0,2,1,1,1,1,1,0,1,3,3,3,8,2,3,5,3,1,2,3,2,3,0,3,1,2,1,2,2,2,3,1,2,0,3,2,3,2,2,3,1,3,2,2,2,2,2,2,2,3,2,3,4,0,4,4,4,1,12,6,2,7,2,3,2,3,2,3,1,2,0,2,2,2,3,1,1,0,1,2,1,1,2,3,7,2,1,3,1,1,3,3,0,2,0,1,2,4,3,2,2,6,0,2,3,0,4,8,2,3,2,2,2,1,1,0,2,5,1,2,0,0,1,3,3,2,2,4,5,2,3,2,3,7,0,2,1,3,2,2,3,1,2,6,5,29,0,2,2,3,0,3,2,3,4,5,2,1,3,2,0,1,1,1,3,0,2,0,2,1,3,2,0,2,3,2,6,5,1,1,2,9,2,3,4,2,1,3,1,2,2,3,1,2,1,3,6,3,2,1,1,2,3,3,2,9,1,0,1,4,0,13,2,0,1,2,3,13,3,2,3,2,3,2,2,4,0,3,1,2,2,4,2,4,1,1,1,9,3,0,0,3,0,1,3,1,19,3,1,3,6,0,3,3,3,9,2,2,1,2,0,0,1,6,1,3,1,6,2,1,1,1,3,2,2,4,10,3,3,3,2,1,6,0,0,1,14,3,2,3,5,1,4,1,3,3,1,7,3,2,3,3,2,1,3,1,0,1,7,10,2,3,1,10,16,2,2,5,1,3,2,4,3,0,2,2,1,4,8,2,1,1,6,3,3,2,2,2,5,2,1,3,3,1,3,2,1,0,2,1,6,1,1,2,2,7,1,1,2,2,3,0,3,1,2,3,1,1,1,0,2,1,0,3,1,3,4,3,0,1,2,5,18,2,3,0,1,3,1,3,2,2,4,3,2,0,4,11,2,3,1,5,3,3,1,2,3,2,1,2,15,3,2,3,5,3,1,5,11,2,0,3,3,3,12,3,3,2,3,12,0,2,3,3,3,3,10,1,3,3,1,3,1,2,1,6,2,4,5,1,0,1,1,1,3,1,8,12,1,2,1,0,3,2,1,1,3,3,9,0,1,3,2,0,5,1,1,2,0,2,3,3]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.567
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.329
Total: 55.8%

🎯 Predicție următoarea apariție

Most likely
draw #16756
±1 sigma window
[16755..16759]
P25-P95 window
[16755..16763]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 27 apariții Extrageri 84-167: 23 apariții Extrageri 168-251: 24 apariții Extrageri 252-335: 20 apariții Extrageri 336-418: 18 apariții Extrageri 419-502: 30 apariții Extrageri 503-586: 24 apariții Extrageri 587-670: 25 apariții Extrageri 671-753: 20 apariții Extrageri 754-837: 22 apariții Extrageri 838-921: 20 apariții Extrageri 922-1005: 25 apariții Extrageri 1006-1089: 25 apariții Extrageri 1090-1172: 19 apariții Extrageri 1173-1256: 18 apariții Extrageri 1257-1340: 29 apariții Extrageri 1341-1424: 24 apariții Extrageri 1425-1507: 19 apariții Extrageri 1508-1591: 32 apariții Extrageri 1592-1675: 28 apariții Extrageri 1676-1759: 24 apariții Extrageri 1760-1842: 15 apariții Extrageri 1843-1926: 19 apariții Extrageri 1927-2010: 16 apariții Extrageri 2011-2094: 21 apariții Extrageri 2095-2178: 18 apariții Extrageri 2179-2261: 12 apariții Extrageri 2262-2345: 20 apariții Extrageri 2346-2429: 25 apariții Extrageri 2430-2513: 18 apariții Extrageri 2514-2596: 21 apariții Extrageri 2597-2680: 21 apariții Extrageri 2681-2764: 29 apariții Extrageri 2765-2848: 26 apariții Extrageri 2849-2931: 23 apariții Extrageri 2932-3015: 22 apariții Extrageri 3016-3099: 31 apariții Extrageri 3100-3183: 22 apariții Extrageri 3184-3267: 22 apariții Extrageri 3268-3350: 21 apariții Extrageri 3351-3434: 20 apariții Extrageri 3435-3518: 19 apariții Extrageri 3519-3602: 21 apariții Extrageri 3603-3685: 19 apariții Extrageri 3686-3769: 21 apariții Extrageri 3770-3853: 24 apariții Extrageri 3854-3937: 26 apariții Extrageri 3938-4020: 25 apariții Extrageri 4021-4104: 22 apariții Extrageri 4105-4188: 22 apariții Extrageri 4189-4272: 15 apariții Extrageri 4273-4356: 20 apariții Extrageri 4357-4439: 14 apariții Extrageri 4440-4523: 20 apariții Extrageri 4524-4607: 28 apariții Extrageri 4608-4691: 30 apariții Extrageri 4692-4774: 26 apariții Extrageri 4775-4858: 20 apariții Extrageri 4859-4942: 28 apariții Extrageri 4943-5026: 18 apariții Extrageri 5027-5109: 18 apariții Extrageri 5110-5193: 27 apariții Extrageri 5194-5277: 19 apariții Extrageri 5278-5361: 29 apariții Extrageri 5362-5445: 18 apariții Extrageri 5446-5528: 22 apariții Extrageri 5529-5612: 14 apariții Extrageri 5613-5696: 12 apariții Extrageri 5697-5780: 17 apariții Extrageri 5781-5863: 25 apariții Extrageri 5864-5947: 21 apariții Extrageri 5948-6031: 21 apariții Extrageri 6032-6115: 31 apariții Extrageri 6116-6198: 27 apariții Extrageri 6199-6282: 24 apariții Extrageri 6283-6366: 23 apariții Extrageri 6367-6450: 21 apariții Extrageri 6451-6534: 27 apariții Extrageri 6535-6617: 17 apariții Extrageri 6618-6701: 19 apariții Extrageri 6702-6785: 21 apariții Extrageri 6786-6869: 21 apariții Extrageri 6870-6952: 16 apariții Extrageri 6953-7036: 25 apariții Extrageri 7037-7120: 20 apariții Extrageri 7121-7204: 17 apariții Extrageri 7205-7287: 22 apariții Extrageri 7288-7371: 21 apariții Extrageri 7372-7455: 13 apariții Extrageri 7456-7539: 24 apariții Extrageri 7540-7623: 26 apariții Extrageri 7624-7706: 20 apariții Extrageri 7707-7790: 24 apariții Extrageri 7791-7874: 20 apariții Extrageri 7875-7958: 23 apariții Extrageri 7959-8041: 19 apariții Extrageri 8042-8125: 18 apariții Extrageri 8126-8209: 23 apariții Extrageri 8210-8293: 21 apariții Extrageri 8294-8377: 20 apariții Extrageri 8378-8460: 23 apariții Extrageri 8461-8544: 20 apariții Extrageri 8545-8628: 15 apariții Extrageri 8629-8712: 26 apariții Extrageri 8713-8795: 21 apariții Extrageri 8796-8879: 25 apariții Extrageri 8880-8963: 20 apariții Extrageri 8964-9047: 26 apariții Extrageri 9048-9130: 15 apariții Extrageri 9131-9214: 21 apariții Extrageri 9215-9298: 26 apariții Extrageri 9299-9382: 25 apariții Extrageri 9383-9466: 19 apariții Extrageri 9467-9549: 25 apariții Extrageri 9550-9633: 16 apariții Extrageri 9634-9717: 17 apariții Extrageri 9718-9801: 16 apariții Extrageri 9802-9884: 20 apariții Extrageri 9885-9968: 20 apariții Extrageri 9969-10052: 22 apariții Extrageri 10053-10136: 23 apariții Extrageri 10137-10219: 15 apariții Extrageri 10220-10303: 22 apariții Extrageri 10304-10387: 25 apariții Extrageri 10388-10471: 16 apariții Extrageri 10472-10555: 23 apariții Extrageri 10556-10638: 20 apariții Extrageri 10639-10722: 26 apariții Extrageri 10723-10806: 23 apariții Extrageri 10807-10890: 18 apariții Extrageri 10891-10973: 20 apariții Extrageri 10974-11057: 21 apariții Extrageri 11058-11141: 14 apariții Extrageri 11142-11225: 17 apariții Extrageri 11226-11308: 18 apariții Extrageri 11309-11392: 26 apariții Extrageri 11393-11476: 19 apariții Extrageri 11477-11560: 24 apariții Extrageri 11561-11644: 20 apariții Extrageri 11645-11727: 23 apariții Extrageri 11728-11811: 23 apariții Extrageri 11812-11895: 20 apariții Extrageri 11896-11979: 21 apariții Extrageri 11980-12062: 17 apariții Extrageri 12063-12146: 17 apariții Extrageri 12147-12230: 20 apariții Extrageri 12231-12314: 19 apariții Extrageri 12315-12397: 13 apariții Extrageri 12398-12481: 24 apariții Extrageri 12482-12565: 24 apariții Extrageri 12566-12649: 16 apariții Extrageri 12650-12733: 17 apariții Extrageri 12734-12816: 23 apariții Extrageri 12817-12900: 19 apariții Extrageri 12901-12984: 25 apariții Extrageri 12985-13068: 17 apariții Extrageri 13069-13151: 19 apariții Extrageri 13152-13235: 19 apariții Extrageri 13236-13319: 18 apariții Extrageri 13320-13403: 18 apariții Extrageri 13404-13486: 17 apariții Extrageri 13487-13570: 20 apariții Extrageri 13571-13654: 29 apariții Extrageri 13655-13738: 20 apariții Extrageri 13739-13822: 21 apariții Extrageri 13823-13905: 18 apariții Extrageri 13906-13989: 25 apariții Extrageri 13990-14073: 19 apariții Extrageri 14074-14157: 23 apariții Extrageri 14158-14240: 16 apariții Extrageri 14241-14324: 20 apariții Extrageri 14325-14408: 17 apariții Extrageri 14409-14492: 19 apariții Extrageri 14493-14575: 20 apariții Extrageri 14576-14659: 23 apariții Extrageri 14660-14743: 26 apariții Extrageri 14744-14827: 23 apariții Extrageri 14828-14911: 19 apariții Extrageri 14912-14994: 22 apariții Extrageri 14995-15078: 15 apariții Extrageri 15079-15162: 21 apariții Extrageri 15163-15246: 12 apariții Extrageri 15247-15329: 21 apariții Extrageri 15330-15413: 18 apariții Extrageri 15414-15497: 24 apariții Extrageri 15498-15581: 18 apariții Extrageri 15582-15664: 20 apariții Extrageri 15665-15748: 17 apariții Extrageri 15749-15832: 19 apariții Extrageri 15833-15916: 20 apariții Extrageri 15917-16000: 13 apariții Extrageri 16001-16083: 19 apariții Extrageri 16084-16167: 21 apariții Extrageri 16168-16251: 26 apariții Extrageri 16252-16335: 16 apariții Extrageri 16336-16418: 18 apariții Extrageri 16419-16502: 14 apariții Extrageri 16503-16586: 18 apariții Extrageri 16587-16670: 17 apariții Extrageri 16671-16754: 18 apariții 0 4189 8377 12566 16754 mean=20.9/bin max=32 apariții/bin
Histogram: fiecare bară = un interval de 84 extrageri. Înălțime = nr apariții în acel interval. Galben deschis → portocaliu = mai multe apariții. Linie albastră întreruptă = densitatea medie (20.9 apariții/bin).
Combinația are 4,184 apariții — prea multe pentru afișare individuală (s-ar suprapune). Histogramul de mai sus arată variațiile de densitate temporală.

Distribuția gap-urilor

Bare = gap-uri consecutive. Verde = sub P25, galben = mediu, roșu = peste P75. Linie albastră = mean.

Date brute

Aparitii (draw_id):
[2, 3, 4, 7, 12, 19, 20, 22, 23, 28, 39, 42, 43, 45, 46, 48, 49, 52, 56, 61, 66, 71, 73, 78, 80, 82, 84, 90, 99, 101, 102, 105, 112, 115, 123, 126, 135, 138, 140, 143, 146, 149, 150, 154, 155, 159, 160, 165, 167, 168, 169, 178, 179, 183, 191, 193, 199, 202, 205, 206, 207, 210, 212, 219, 223, 224, 226, 231, 232, 234, 239, 247, 248, 250, 255, 258, 269, 273, 291, 293, 296, 297, 302, 304, 314, 315, 318, 319, 323, 324, 325, 327, 331, 334, 339, 340, 341, 348, 353, 354, 355, 362, 363, 368, 371, 372, 384, 396, 400, 405, 406, 416, 423, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 437, 439, 440, 444, 449, 452, 457, 461, 464, 467, 471, 472, 473, 475, 488, 489, 492, 494, 500, 508, 510, 513, 515, 518, 522, 523, 524, 526, 527, 529, 530, 532, 537, 543, 550, 551, 552, 555, 559, 564, 568, 569, 585, 589, 590, 591, 593, 594, 595, 599, 602, 605, 607, 612, 617, 622, 630, 635, 638, 643, 646, 648, 651, 655, 657, 660, 661, 662, 672, 673, 681, 682, 684, 688, 690, 692, 694, 699, 701, 705, 708, 709, 716, 724, 727, 729, 731, 752, 759, 761, 764, 766, 769, 772, 774, 778, 786, 796, 801, 802, 805, 806, 808, 809, 818, 819, 820, 824, 827, 833, 856, 857, 862, 863, 869, 870, 876, 877, 884, 885, 890, 894, 897, 901, 906, 907, 908, 909, 916, 919, 924, 926, 928, 933, 937, 940, 942, 944, 945, 949, 954, 955, 957, 962, 970, 972, 975, 976, 977, 980, 981, 986, 995, 997, 1000, 1007, 1008, 1010, 1018, 1022, 1023, 1024, 1026, 1031, 1041, 1043, 1046, 1048, 1054, 1056, 1059, 1064, 1068, 1069, 1070, 1071, 1078, 1083, 1088, 1090, 1092, 1093, 1098, 1100, 1103, 1110, 1118, 1131, 1140, 1143, 1148, 1157, 1159, 1160, 1165, 1166, 1170, 1172, 1173, 1180, 1184, 1187, 1188, 1198, 1203, 1205, 1209, 1211, 1213, 1215, 1216, 1221, 1233, 1237, 1242, 1247, 1249, 1258, 1259, 1260, 1261, 1262, 1264, 1266, 1271, 1278, 1279, 1286, 1294, 1296, 1298, 1299, 1301, 1305, 1306, 1309, 1310, 1316, 1320, 1322, 1324, 1325, 1330, 1332, 1337, 1338, 1344, 1350, 1358, 1360, 1362, 1366, 1375, 1381, 1382, 1384, 1386, 1388, 1393, 1394, 1395, 1397, 1398, 1401, 1402, 1410, 1412, 1416, 1420, 1423, 1428, 1430, 1441, 1444, 1448, 1450, 1453, 1456, 1457, 1460, 1463, 1465, 1469, 1472, 1485, 1488, 1497, 1499, 1502, 1511, 1514, 1515, 1516, 1522, 1523, 1524, 1526, 1529, 1540, 1541, 1546, 1549, 1552, 1554, 1558, 1559, 1560, 1563, 1564, 1568, 1569, 1571, 1577, 1578, 1579, 1581, 1583, 1584, 1585, 1586, 1591, 1593, 1595, 1603, 1607, 1608, 1609, 1610, 1612, 1615, 1616, 1619, 1621, 1624, 1627, 1632, 1633, 1635, 1640, 1642, 1646, 1647, 1650, 1654, 1656, 1660, 1669, 1672, 1675, 1684, 1685, 1689, 1692, 1696, 1701, 1704, 1705, 1708, 1713, 1723, 1725, 1727, 1729, 1737, 1741, 1742, 1743, 1746, 1747, 1748, 1751, 1756, 1758, 1777, 1778, 1784, 1788, 1790, 1794, 1799, 1802, 1803, 1812, 1818, 1823, 1828, 1835, 1840, 1855, 1865, 1869, 1871, 1872, 1873, 1877, 1881, 1888, 1889, 1895, 1899, 1902, 1905, 1913, 1915, 1920, 1921, 1926, 1944, 1947, 1956, 1967, 1968, 1970, 1971, 1974, 1979, 1984, 1985, 1986, 1989, 1997, 2002, 2010, 2012, 2013, 2016, 2017, 2019, 2021, 2023, 2041, 2042, 2044, 2059, 2060, 2068, 2069, 2070, 2072, 2080, 2081, 2083, 2087, 2092, 2096, 2102, 2104, 2117, 2121, 2123, 2129, 2130, 2135, 2138, 2139, 2145, 2146, 2156, 2159, 2165, 2177, 2179, 2193, 2194, 2197, 2199, 2217, 2220, 2225, 2233, 2245, 2254, 2260, 2261, 2264, 2275, 2280, 2282, 2283, 2284, 2292, 2293, 2297, 2298, 2302, 2310, 2312, 2321, 2323, 2330, 2335, 2339, 2341, 2345, 2348, 2352, 2353, 2358, 2359, 2364, 2366, 2367, 2370, 2373, 2380, 2382, 2386, 2388, 2389, 2395, 2396, 2399, 2405, 2409, 2410, 2415, 2418, 2422, 2427, 2432, 2434, 2439, 2446, 2448, 2457, 2460, 2464, 2474, 2477, 2478, 2485, 2486, 2488, 2492, 2494, 2507, 2508, 2527, 2532, 2539, 2540, 2541, 2543, 2544, 2545, 2549, 2555, 2562, 2566, 2570, 2575, 2578, 2581, 2584, 2587, 2589, 2595, 2596, 2598, 2600, 2605, 2607, 2612, 2614, 2619, 2623, 2624, 2628, 2632, 2638, 2640, 2641, 2646, 2657, 2670, 2672, 2674, 2676, 2678, 2683, 2685, 2687, 2688, 2692, 2695, 2698, 2703, 2705, 2709, 2710, 2712, 2717, 2718, 2719, 2724, 2729, 2730, 2731, 2739, 2742, 2744, 2747, 2749, 2750, 2755, 2761, 2762, 2763, 2767, 2771, 2772, 2776, 2778, 2780, 2781, 2783, 2788, 2790, 2793, 2794, 2795, 2801, 2805, 2806, 2807, 2813, 2815, 2818, 2821, 2822, 2824, 2828, 2829, 2836, 2853, 2861, 2862, 2864, 2888, 2891, 2892, 2895, 2897, 2899, 2900, 2901, 2905, 2907, 2910, 2911, 2913, 2915, 2918, 2921, 2926, 2927, 2930, 2934, 2935, 2947, 2954, 2955, 2957, 2958, 2962, 2964, 2965, 2969, 2970, 2971, 2974, 2975, 2985, 2994, 2995, 2999, 3004, 3013, 3015, 3017, 3020, 3021, 3024, 3031, 3037, 3039, 3044, 3047, 3048, 3052, 3054, 3059, 3060, 3061, 3063, 3067, 3068, 3069, 3070, 3072, 3073, 3076, 3082, 3089, 3090, 3091, 3093, 3096, 3097, 3099, 3111, 3114, 3115, 3124, 3125, 3126, 3134, 3139, 3141, 3142, 3146, 3149, 3158, 3161, 3162, 3165, 3168, 3169, 3170, 3173, 3176, 3181, 3185, 3186, 3187, 3209, 3210, 3211, 3217, 3223, 3224, 3226, 3231, 3234, 3235, 3238, 3240, 3248, 3255, 3259, 3263, 3265, 3266, 3267, 3274, 3276, 3278, 3280, 3283, 3287, 3298, 3304, 3305, 3308, 3311, 3312, 3313, 3316, 3321, 3322, 3324, 3326, 3330, 3340, 3351, 3354, 3364, 3366, 3369, 3373, 3377, 3390, 3395, 3399, 3400, 3401, 3405, 3407, 3408, 3411, 3415, 3424, 3425, 3428, 3435, 3438, 3443, 3444, 3446, 3450, 3457, 3458, 3462, 3463, 3467, 3471, 3475, 3476, 3480, 3485, 3494, 3500, 3511, 3516, 3520, 3525, 3526, 3530, 3533, 3537, 3540, 3541, 3542, 3548, 3549, 3553, 3572, 3573, 3575, 3580, 3581, 3582, 3583, 3586, 3603, 3604, 3605, 3611, 3617, 3618, 3619, 3631, 3649, 3651, 3654, 3656, 3658, 3659, 3660, 3665, 3673, 3683, 3684, 3686, 3692, 3703, 3707, 3710, 3711, 3713, 3718, 3723, 3725, 3730, 3735, 3737, 3738, 3742, 3749, 3754, 3755, 3759, 3764, 3765, 3766, 3771, 3774, 3782, 3786, 3788, 3791, 3800, 3802, 3804, 3806, 3807, 3808, 3811, 3822, 3823, 3825, 3828, 3832, 3836, 3839, 3843, 3846, 3849, 3850, 3855, 3856, 3857, 3860, 3866, 3869, 3870, 3872, 3879, 3880, 3884, 3885, 3886, 3887, 3892, 3895, 3896, 3901, 3911, 3914, 3923, 3924, 3925, 3936, 3937, 3938, 3945, 3946, 3949, 3950, 3952, 3955, 3962, 3967, 3974, 3986, 3987, 3989, 3991, 3992, 3997, 4000, 4004, 4005, 4008, 4011, 4013, 4016, 4017, 4018, 4021, 4033, 4046, 4048, 4049, 4051, 4054, 4062, 4069, 4070, 4071, 4074, 4079, 4082, 4084, 4085, 4087, 4095, 4098, 4099, 4100, 4101, 4105, 4108, 4118, 4120, 4126, 4130, 4132, 4142, 4143, 4147, 4148, 4149, 4154, 4155, 4160, 4161, 4164, 4166, 4167, 4174, 4176, 4182, 4184, 4192, 4194, 4195, 4202, 4205, 4225, 4229, 4230, 4239, 4241, 4247, 4256, 4258, 4259, 4262, 4276, 4279, 4289, 4295, 4297, 4301, 4305, 4309, 4318, 4320, 4323, 4333, 4335, 4339, 4345, 4348, 4349, 4350, 4351, 4356, 4360, 4368, 4372, 4373, 4374, 4383, 4385, 4401, 4404, 4407, 4416, 4424, 4428, 4429, 4442, 4443, 4449, 4453, 4459, 4462, 4465, 4467, 4472, 4477, 4479, 4481, 4485, 4486, 4491, 4494, 4500, 4501, 4504, 4512, 4525, 4526, 4532, 4533, 4535, 4536, 4538, 4543, 4544, 4553, 4554, 4556, 4565, 4570, 4577, 4578, 4580, 4581, 4585, 4586, 4590, 4591, 4594, 4595, 4599, 4603, 4605, 4608, 4610, 4612, 4615, 4616, 4623, 4624, 4632, 4633, 4634, 4639, 4643, 4644, 4647, 4653, 4656, 4657, 4663, 4664, 4670, 4672, 4674, 4676, 4677, 4679, 4680, 4682, 4683, 4684, 4686, 4687, 4693, 4694, 4695, 4700, 4704, 4715, 4720, 4721, 4724, 4728, 4729, 4734, 4736, 4737, 4744, 4745, 4750, 4751, 4752, 4754, 4760, 4761, 4763, 4764, 4765, 4771, 4776, 4780, 4785, 4786, 4788, 4792, 4797, 4805, 4806, 4812, 4818, 4836, 4837, 4838, 4842, 4843, 4845, 4848, 4853, 4856, 4863, 4865, 4867, 4870, 4876, 4877, 4883, 4884, 4886, 4889, 4891, 4898, 4906, 4907, 4914, 4921, 4925, 4927, 4928, 4929, 4930, 4931, 4932, 4933, 4934, 4936, 4937, 4942, 4947, 4951, 4959, 4960, 4969, 4973, 4979, 4981, 4982, 4983, 4985, 4993, 4995, 5012, 5013, 5014, 5018, 5025, 5031, 5033, 5037, 5040, 5050, 5058, 5062, 5064, 5066, 5067, 5069, 5080, 5087, 5089, 5095, 5096, 5100, 5109, 5111, 5113, 5117, 5118, 5120, 5121, 5124, 5125, 5129, 5130, 5133, 5137, 5140, 5144, 5147, 5153, 5158, 5161, 5165, 5166, 5170, 5171, 5176, 5180, 5181, 5187, 5193, 5200, 5203, 5211, 5214, 5216, 5218, 5219, 5222, 5223, 5230, 5232, 5234, 5239, 5241, 5248, 5259, 5262, 5264, 5274, 5280, 5281, 5282, 5296, 5297, 5301, 5307, 5309, 5310, 5312, 5313, 5317, 5319, 5321, 5323, 5325, 5329, 5333, 5334, 5335, 5339, 5340, 5342, 5343, 5346, 5348, 5356, 5357, 5361, 5364, 5366, 5369, 5372, 5382, 5383, 5387, 5393, 5395, 5400, 5403, 5411, 5420, 5422, 5428, 5441, 5443, 5444, 5450, 5454, 5455, 5457, 5458, 5465, 5469, 5470, 5473, 5475, 5477, 5479, 5481, 5484, 5491, 5509, 5514, 5516, 5518, 5522, 5526, 5527, 5531, 5532, 5563, 5567, 5570, 5573, 5585, 5591, 5593, 5597, 5602, 5605, 5609, 5611, 5618, 5623, 5627, 5648, 5656, 5666, 5668, 5673, 5675, 5681, 5686, 5695, 5701, 5710, 5713, 5719, 5720, 5723, 5727, 5728, 5749, 5750, 5751, 5759, 5761, 5762, 5766, 5773, 5780, 5784, 5789, 5791, 5796, 5800, 5801, 5805, 5806, 5814, 5818, 5824, 5827, 5828, 5830, 5832, 5845, 5847, 5850, 5851, 5853, 5857, 5859, 5860, 5861, 5864, 5869, 5870, 5873, 5879, 5890, 5891, 5895, 5899, 5906, 5908, 5909, 5910, 5917, 5919, 5921, 5923, 5931, 5932, 5935, 5936, 5939, 5949, 5954, 5956, 5961, 5962, 5965, 5970, 5971, 5973, 5975, 5979, 5990, 5993, 5996, 5997, 6001, 6003, 6004, 6006, 6019, 6029, 6036, 6044, 6045, 6046, 6049, 6053, 6055, 6060, 6063, 6064, 6065, 6072, 6074, 6076, 6077, 6078, 6079, 6083, 6084, 6085, 6086, 6087, 6088, 6089, 6091, 6093, 6102, 6103, 6107, 6110, 6111, 6119, 6120, 6129, 6130, 6133, 6135, 6137, 6138, 6141, 6143, 6147, 6151, 6153, 6154, 6159, 6163, 6170, 6173, 6174, 6175, 6178, 6179, 6181, 6183, 6184, 6185, 6191, 6200, 6203, 6210, 6211, 6212, 6215, 6219, 6228, 6229, 6230, 6233, 6236, 6238, 6240, 6245, 6249, 6253, 6256, 6264, 6267, 6271, 6274, 6279, 6283, 6286, 6287, 6290, 6293, 6295, 6296, 6300, 6301, 6308, 6310, 6313, 6314, 6320, 6328, 6330, 6331, 6334, 6335, 6338, 6344, 6350, 6352, 6353, 6372, 6374, 6378, 6385, 6388, 6390, 6396, 6399, 6400, 6401, 6402, 6412, 6415, 6417, 6418, 6422, 6429, 6433, 6437, 6442, 6444, 6452, 6455, 6460, 6464, 6467, 6469, 6470, 6472, 6474, 6478, 6484, 6485, 6500, 6501, 6502, 6503, 6505, 6507, 6508, 6510, 6515, 6517, 6526, 6532, 6533, 6534, 6535, 6537, 6546, 6547, 6549, 6555, 6556, 6560, 6563, 6568, 6578, 6580, 6583, 6586, 6596, 6606, 6611, 6617, 6622, 6624, 6626, 6634, 6635, 6645, 6664, 6666, 6667, 6670, 6671, 6678, 6688, 6689, 6692, 6695, 6697, 6699, 6700, 6706, 6710, 6711, 6713, 6714, 6718, 6720, 6721, 6723, 6732, 6735, 6737, 6740, 6748, 6749, 6752, 6755, 6762, 6769, 6774, 6782, 6788, 6795, 6797, 6803, 6806, 6816, 6818, 6825, 6828, 6829, 6831, 6832, 6835, 6836, 6837, 6843, 6845, 6851, 6855, 6856, 6859, 6873, 6881, 6883, 6885, 6891, 6897, 6901, 6907, 6909, 6913, 6916, 6930, 6935, 6936, 6942, 6951, 6957, 6958, 6960, 6969, 6970, 6978, 6979, 6981, 6983, 6984, 6989, 6994, 6998, 7001, 7003, 7004, 7005, 7007, 7009, 7011, 7013, 7016, 7026, 7032, 7037, 7041, 7045, 7049, 7050, 7059, 7061, 7065, 7077, 7083, 7086, 7094, 7096, 7099, 7103, 7104, 7108, 7109, 7112, 7113, 7120, 7122, 7131, 7138, 7148, 7161, 7163, 7165, 7173, 7177, 7180, 7181, 7182, 7184, 7185, 7186, 7202, 7205, 7207, 7215, 7216, 7218, 7221, 7225, 7226, 7229, 7230, 7231, 7239, 7245, 7249, 7255, 7256, 7259, 7262, 7263, 7271, 7273, 7283, 7287, 7301, 7304, 7309, 7316, 7317, 7321, 7324, 7329, 7330, 7331, 7332, 7341, 7342, 7343, 7344, 7349, 7351, 7352, 7358, 7359, 7369, 7375, 7387, 7388, 7389, 7404, 7418, 7420, 7422, 7425, 7434, 7444, 7450, 7453, 7466, 7473, 7474, 7475, 7480, 7481, 7487, 7488, 7489, 7490, 7498, 7501, 7505, 7506, 7512, 7513, 7515, 7516, 7518, 7519, 7520, 7525, 7530, 7532, 7541, 7542, 7545, 7546, 7552, 7554, 7562, 7564, 7565, 7566, 7572, 7576, 7579, 7588, 7590, 7591, 7592, 7594, 7598, 7600, 7602, 7608, 7609, 7610, 7611, 7615, 7626, 7628, 7641, 7649, 7653, 7656, 7659, 7661, 7665, 7668, 7670, 7681, 7691, 7694, 7696, 7697, 7701, 7702, 7705, 7706, 7708, 7709, 7710, 7712, 7714, 7719, 7733, 7738, 7739, 7748, 7754, 7756, 7758, 7759, 7764, 7765, 7767, 7770, 7775, 7778, 7780, 7786, 7787, 7788, 7793, 7795, 7798, 7805, 7806, 7810, 7814, 7827, 7829, 7831, 7833, 7837, 7843, 7846, 7858, 7861, 7865, 7866, 7867, 7874, 7878, 7879, 7880, 7889, 7899, 7903, 7904, 7911, 7913, 7916, 7918, 7920, 7928, 7929, 7930, 7931, 7933, 7938, 7946, 7951, 7952, 7954, 7958, 7964, 7965, 7974, 7977, 7978, 7986, 7991, 7993, 7996, 8005, 8011, 8012, 8014, 8016, 8029, 8034, 8037, 8039, 8042, 8046, 8053, 8069, 8073, 8083, 8084, 8085, 8086, 8094, 8098, 8101, 8102, 8103, 8104, 8106, 8107, 8120, 8122, 8131, 8132, 8133, 8138, 8140, 8160, 8166, 8167, 8171, 8172, 8177, 8179, 8183, 8184, 8186, 8187, 8189, 8190, 8192, 8194, 8203, 8208, 8210, 8217, 8218, 8219, 8220, 8221, 8226, 8228, 8229, 8232, 8236, 8241, 8251, 8254, 8258, 8260, 8263, 8268, 8281, 8286, 8292, 8293, 8295, 8300, 8313, 8314, 8315, 8335, 8337, 8339, 8340, 8341, 8347, 8348, 8352, 8354, 8357, 8360, 8367, 8371, 8375, 8376, 8380, 8387, 8390, 8393, 8402, 8403, 8406, 8410, 8412, 8414, 8418, 8421, 8423, 8426, 8432, 8439, 8444, 8445, 8448, 8453, 8454, 8456, 8457, 8463, 8464, 8474, 8478, 8480, 8481, 8482, 8491, 8493, 8498, 8502, 8511, 8516, 8518, 8525, 8528, 8529, 8530, 8536, 8543, 8552, 8554, 8563, 8571, 8577, 8582, 8599, 8601, 8603, 8605, 8613, 8621, 8622, 8626, 8629, 8634, 8636, 8640, 8643, 8647, 8650, 8651, 8653, 8657, 8661, 8667, 8668, 8670, 8673, 8676, 8677, 8678, 8680, 8689, 8690, 8693, 8694, 8697, 8699, 8708, 8713, 8714, 8718, 8720, 8726, 8731, 8735, 8738, 8741, 8743, 8746, 8750, 8755, 8757, 8760, 8768, 8770, 8774, 8777, 8782, 8783, 8791, 8799, 8801, 8802, 8804, 8806, 8822, 8823, 8826, 8827, 8833, 8834, 8835, 8839, 8844, 8845, 8848, 8849, 8855, 8856, 8859, 8860, 8865, 8867, 8876, 8878, 8881, 8882, 8885, 8891, 8893, 8894, 8904, 8905, 8910, 8915, 8918, 8919, 8923, 8924, 8926, 8928, 8939, 8943, 8948, 8950, 8965, 8973, 8974, 8984, 8988, 8990, 8992, 8994, 8995, 8996, 8997, 8999, 9004, 9008, 9012, 9018, 9019, 9022, 9031, 9033, 9034, 9035, 9038, 9043, 9044, 9046, 9051, 9054, 9057, 9066, 9071, 9074, 9076, 9082, 9087, 9100, 9112, 9123, 9124, 9127, 9131, 9135, 9136, 9137, 9138, 9139, 9146, 9151, 9155, 9158, 9161, 9163, 9168, 9170, 9171, 9179, 9183, 9186, 9189, 9203, 9205, 9207, 9217, 9220, 9222, 9224, 9226, 9228, 9230, 9236, 9237, 9244, 9247, 9254, 9256, 9261, 9264, 9268, 9269, 9271, 9274, 9283, 9284, 9285, 9290, 9295, 9296, 9297, 9303, 9304, 9313, 9317, 9319, 9320, 9325, 9328, 9330, 9334, 9338, 9340, 9344, 9348, 9350, 9358, 9365, 9366, 9368, 9374, 9375, 9376, 9378, 9381, 9383, 9394, 9395, 9398, 9400, 9404, 9414, 9425, 9428, 9429, 9435, 9436, 9438, 9439, 9441, 9442, 9443, 9452, 9458, 9465, 9468, 9476, 9478, 9479, 9481, 9489, 9490, 9498, 9500, 9503, 9505, 9506, 9514, 9520, 9521, 9523, 9524, 9526, 9528, 9534, 9536, 9543, 9545, 9548, 9550, 9556, 9561, 9563, 9566, 9573, 9574, 9578, 9580, 9583, 9584, 9608, 9615, 9616, 9620, 9626, 9629, 9638, 9647, 9650, 9661, 9671, 9681, 9682, 9692, 9694, 9697, 9698, 9699, 9702, 9710, 9716, 9717, 9718, 9730, 9731, 9736, 9743, 9744, 9753, 9754, 9756, 9759, 9760, 9766, 9768, 9780, 9781, 9782, 9801, 9804, 9814, 9816, 9817, 9818, 9822, 9824, 9826, 9832, 9848, 9853, 9861, 9862, 9868, 9869, 9873, 9876, 9882, 9883, 9884, 9892, 9894, 9903, 9904, 9906, 9912, 9915, 9918, 9923, 9924, 9929, 9930, 9938, 9939, 9943, 9944, 9952, 9953, 9955, 9963, 9972, 9980, 9982, 9984, 9989, 9990, 9991, 9992, 10000, 10004, 10006, 10014, 10015, 10021, 10022, 10026, 10028, 10029, 10039, 10040, 10043, 10048, 10054, 10066, 10070, 10072, 10075, 10078, 10081, 10085, 10090, 10101, 10103, 10106, 10108, 10112, 10115, 10118, 10120, 10121, 10127, 10131, 10132, 10135, 10136, 10141, 10143, 10144, 10148, 10161, 10164, 10168, 10179, 10196, 10200, 10202, 10204, 10206, 10218, 10220, 10226, 10228, 10229, 10231, 10234, 10244, 10247, 10248, 10253, 10259, 10260, 10262, 10263, 10268, 10276, 10280, 10282, 10286, 10293, 10294, 10300, 10303, 10305, 10320, 10321, 10322, 10323, 10334, 10338, 10340, 10346, 10347, 10349, 10350, 10354, 10355, 10359, 10365, 10370, 10371, 10372, 10375, 10379, 10381, 10383, 10385, 10387, 10390, 10391, 10396, 10408, 10414, 10416, 10422, 10426, 10427, 10430, 10436, 10437, 10439, 10444, 10461, 10464, 10478, 10481, 10482, 10492, 10493, 10494, 10496, 10499, 10500, 10503, 10506, 10509, 10510, 10516, 10524, 10527, 10528, 10530, 10534, 10542, 10548, 10552, 10555, 10558, 10560, 10562, 10573, 10579, 10580, 10596, 10598, 10605, 10608, 10620, 10622, 10625, 10630, 10631, 10633, 10635, 10637, 10638, 10639, 10641, 10642, 10647, 10650, 10656, 10660, 10661, 10663, 10665, 10670, 10672, 10680, 10681, 10687, 10689, 10693, 10696, 10698, 10700, 10706, 10707, 10712, 10714, 10720, 10721, 10723, 10725, 10731, 10734, 10741, 10745, 10746, 10747, 10749, 10751, 10753, 10754, 10760, 10778, 10783, 10785, 10788, 10794, 10795, 10796, 10798, 10800, 10803, 10805, 10816, 10817, 10821, 10827, 10831, 10834, 10836, 10837, 10842, 10844, 10845, 10851, 10865, 10868, 10869, 10883, 10888, 10891, 10893, 10895, 10899, 10908, 10912, 10917, 10918, 10922, 10930, 10937, 10939, 10949, 10950, 10951, 10960, 10961, 10964, 10965, 10967, 10969, 10981, 10987, 10995, 10997, 10998, 10999, 11000, 11002, 11007, 11012, 11017, 11023, 11036, 11039, 11041, 11043, 11048, 11049, 11050, 11055, 11058, 11061, 11063, 11066, 11069, 11085, 11088, 11097, 11103, 11105, 11109, 11113, 11126, 11130, 11137, 11144, 11155, 11159, 11179, 11180, 11182, 11189, 11192, 11197, 11202, 11207, 11214, 11215, 11217, 11219, 11223, 11224, 11230, 11234, 11244, 11250, 11259, 11262, 11266, 11270, 11271, 11278, 11279, 11283, 11296, 11297, 11298, 11302, 11305, 11308, 11311, 11312, 11315, 11318, 11321, 11323, 11324, 11326, 11328, 11329, 11336, 11346, 11348, 11349, 11350, 11351, 11360, 11364, 11366, 11370, 11371, 11372, 11373, 11378, 11382, 11383, 11396, 11413, 11416, 11419, 11430, 11431, 11438, 11439, 11440, 11441, 11443, 11448, 11450, 11451, 11452, 11455, 11457, 11469, 11474, 11481, 11482, 11485, 11486, 11488, 11493, 11497, 11503, 11516, 11517, 11521, 11525, 11528, 11529, 11533, 11534, 11536, 11539, 11545, 11546, 11550, 11554, 11558, 11560, 11562, 11563, 11564, 11572, 11577, 11581, 11584, 11586, 11592, 11602, 11603, 11604, 11611, 11615, 11624, 11627, 11629, 11638, 11643, 11645, 11647, 11652, 11658, 11663, 11669, 11670, 11675, 11678, 11681, 11685, 11687, 11690, 11691, 11693, 11695, 11696, 11697, 11706, 11707, 11708, 11710, 11726, 11728, 11732, 11733, 11738, 11746, 11748, 11749, 11752, 11755, 11757, 11762, 11768, 11769, 11770, 11771, 11776, 11784, 11791, 11793, 11796, 11800, 11804, 11805, 11811, 11813, 11816, 11820, 11822, 11826, 11840, 11841, 11843, 11848, 11856, 11861, 11863, 11867, 11873, 11875, 11876, 11881, 11883, 11887, 11889, 11898, 11899, 11901, 11903, 11906, 11909, 11920, 11926, 11927, 11930, 11932, 11934, 11948, 11952, 11956, 11957, 11958, 11961, 11970, 11973, 11976, 11983, 11984, 12012, 12022, 12024, 12027, 12030, 12032, 12033, 12035, 12037, 12039, 12044, 12051, 12054, 12056, 12063, 12064, 12071, 12087, 12101, 12102, 12103, 12107, 12109, 12118, 12120, 12124, 12128, 12129, 12135, 12137, 12138, 12140, 12154, 12155, 12159, 12160, 12172, 12176, 12177, 12180, 12186, 12190, 12196, 12199, 12204, 12206, 12211, 12214, 12216, 12222, 12228, 12230, 12234, 12235, 12242, 12256, 12257, 12259, 12264, 12269, 12271, 12272, 12276, 12279, 12282, 12285, 12296, 12297, 12307, 12309, 12310, 12326, 12334, 12336, 12338, 12345, 12354, 12357, 12377, 12384, 12391, 12395, 12397, 12398, 12400, 12405, 12406, 12411, 12412, 12418, 12419, 12422, 12425, 12429, 12436, 12441, 12444, 12446, 12449, 12453, 12457, 12458, 12464, 12466, 12470, 12471, 12473, 12475, 12484, 12497, 12499, 12501, 12508, 12513, 12515, 12517, 12523, 12524, 12525, 12529, 12531, 12532, 12535, 12537, 12539, 12541, 12543, 12549, 12551, 12555, 12561, 12562, 12568, 12575, 12588, 12595, 12596, 12604, 12607, 12609, 12612, 12615, 12616, 12622, 12626, 12640, 12642, 12645, 12651, 12653, 12661, 12682, 12688, 12689, 12696, 12698, 12699, 12704, 12709, 12710, 12715, 12721, 12722, 12728, 12731, 12735, 12736, 12738, 12743, 12745, 12747, 12754, 12755, 12756, 12770, 12775, 12777, 12785, 12786, 12791, 12792, 12800, 12802, 12806, 12809, 12810, 12812, 12814, 12822, 12830, 12836, 12839, 12840, 12846, 12851, 12866, 12868, 12870, 12872, 12874, 12882, 12884, 12886, 12890, 12892, 12894, 12895, 12902, 12903, 12904, 12914, 12923, 12924, 12931, 12932, 12933, 12935, 12937, 12941, 12942, 12945, 12948, 12952, 12955, 12961, 12962, 12963, 12970, 12971, 12979, 12981, 12982, 12986, 12987, 12991, 12992, 12998, 13003, 13009, 13015, 13021, 13030, 13031, 13040, 13053, 13056, 13058, 13059, 13067, 13071, 13076, 13077, 13083, 13085, 13092, 13098, 13104, 13105, 13106, 13121, 13130, 13132, 13134, 13145, 13146, 13147, 13149, 13150, 13161, 13171, 13172, 13174, 13179, 13183, 13184, 13186, 13198, 13199, 13203, 13208, 13210, 13216, 13217, 13222, 13227, 13228, 13230, 13241, 13243, 13245, 13252, 13257, 13260, 13265, 13267, 13277, 13280, 13286, 13290, 13294, 13298, 13312, 13313, 13314, 13317, 13322, 13326, 13330, 13332, 13333, 13336, 13346, 13350, 13361, 13365, 13377, 13381, 13384, 13388, 13391, 13398, 13400, 13402, 13413, 13418, 13422, 13426, 13429, 13432, 13435, 13439, 13442, 13445, 13456, 13466, 13473, 13475, 13479, 13483, 13486, 13490, 13493, 13504, 13506, 13514, 13516, 13519, 13533, 13534, 13535, 13538, 13539, 13541, 13548, 13553, 13555, 13562, 13565, 13568, 13571, 13579, 13580, 13587, 13592, 13594, 13598, 13599, 13601, 13603, 13605, 13608, 13610, 13616, 13619, 13620, 13622, 13624, 13625, 13626, 13629, 13633, 13634, 13637, 13638, 13642, 13645, 13646, 13648, 13655, 13656, 13659, 13671, 13690, 13692, 13693, 13694, 13706, 13707, 13709, 13710, 13711, 13712, 13713, 13717, 13724, 13730, 13731, 13737, 13738, 13744, 13752, 13754, 13758, 13759, 13764, 13769, 13774, 13776, 13781, 13791, 13794, 13795, 13801, 13804, 13810, 13812, 13814, 13817, 13821, 13823, 13826, 13828, 13836, 13848, 13851, 13859, 13861, 13862, 13867, 13871, 13872, 13882, 13885, 13890, 13891, 13897, 13902, 13903, 13910, 13912, 13915, 13916, 13918, 13919, 13921, 13923, 13937, 13938, 13940, 13946, 13947, 13948, 13949, 13957, 13958, 13959, 13963, 13968, 13971, 13974, 13979, 13980, 13990, 13995, 14008, 14017, 14019, 14023, 14028, 14031, 14033, 14038, 14040, 14042, 14043, 14046, 14049, 14050, 14051, 14053, 14062, 14070, 14080, 14085, 14090, 14091, 14094, 14095, 14096, 14098, 14104, 14105, 14108, 14109, 14110, 14116, 14117, 14121, 14127, 14139, 14147, 14149, 14152, 14154, 14158, 14172, 14173, 14176, 14182, 14183, 14184, 14189, 14204, 14213, 14218, 14221, 14224, 14228, 14230, 14234, 14239, 14245, 14247, 14251, 14258, 14261, 14262, 14265, 14268, 14274, 14279, 14280, 14286, 14300, 14303, 14305, 14307, 14309, 14310, 14321, 14325, 14333, 14341, 14348, 14352, 14353, 14356, 14365, 14367, 14375, 14376, 14381, 14382, 14392, 14395, 14397, 14399, 14404, 14410, 14414, 14415, 14418, 14434, 14436, 14437, 14438, 14442, 14443, 14452, 14454, 14460, 14470, 14474, 14475, 14481, 14482, 14487, 14494, 14501, 14507, 14511, 14513, 14525, 14527, 14529, 14531, 14532, 14539, 14540, 14544, 14551, 14555, 14564, 14565, 14566, 14571, 14574, 14578, 14580, 14586, 14603, 14607, 14612, 14615, 14616, 14618, 14619, 14620, 14621, 14624, 14629, 14633, 14636, 14640, 14642, 14645, 14648, 14651, 14654, 14657, 14661, 14666, 14667, 14674, 14675, 14687, 14689, 14690, 14699, 14700, 14703, 14705, 14706, 14708, 14709, 14713, 14720, 14723, 14725, 14728, 14730, 14732, 14734, 14735, 14738, 14744, 14748, 14749, 14751, 14752, 14758, 14760, 14761, 14764, 14765, 14771, 14777, 14779, 14781, 14787, 14789, 14791, 14792, 14798, 14799, 14807, 14811, 14819, 14827, 14835, 14838, 14854, 14864, 14866, 14877, 14879, 14880, 14882, 14883, 14885, 14886, 14889, 14895, 14899, 14905, 14907, 14909, 14910, 14915, 14920, 14924, 14927, 14929, 14932, 14937, 14939, 14940, 14951, 14957, 14962, 14963, 14966, 14971, 14972, 14973, 14977, 14979, 14983, 14986, 14992, 15000, 15001, 15007, 15013, 15023, 15027, 15029, 15036, 15040, 15048, 15060, 15062, 15069, 15071, 15077, 15083, 15088, 15093, 15097, 15099, 15108, 15111, 15113, 15117, 15121, 15124, 15125, 15126, 15128, 15134, 15142, 15151, 15157, 15158, 15160, 15161, 15172, 15176, 15182, 15187, 15188, 15194, 15200, 15201, 15204, 15206, 15216, 15225, 15258, 15262, 15264, 15270, 15271, 15275, 15282, 15284, 15285, 15293, 15302, 15304, 15307, 15308, 15310, 15314, 15317, 15320, 15325, 15326, 15330, 15332, 15336, 15338, 15341, 15342, 15344, 15348, 15350, 15351, 15353, 15363, 15372, 15377, 15382, 15384, 15397, 15403, 15410, 15418, 15420, 15423, 15430, 15433, 15435, 15437, 15438, 15441, 15443, 15448, 15449, 15459, 15460, 15462, 15465, 15470, 15472, 15473, 15474, 15476, 15489, 15492, 15496, 15499, 15507, 15511, 15528, 15530, 15534, 15539, 15541, 15542, 15559, 15560, 15566, 15567, 15569, 15570, 15572, 15574, 15582, 15586, 15587, 15590, 15592, 15594, 15602, 15604, 15612, 15617, 15620, 15623, 15636, 15637, 15641, 15645, 15646, 15650, 15655, 15656, 15661, 15684, 15685, 15688, 15689, 15699, 15703, 15704, 15705, 15712, 15725, 15727, 15729, 15732, 15734, 15738, 15742, 15745, 15755, 15758, 15765, 15768, 15778, 15780, 15783, 15786, 15789, 15790, 15792, 15794, 15802, 15816, 15817, 15818, 15819, 15825, 15828, 15838, 15842, 15846, 15849, 15867, 15868, 15870, 15871, 15880, 15885, 15893, 15896, 15897, 15898, 15901, 15912, 15913, 15915, 15916, 15917, 15919, 15922, 15923, 15928, 15932, 15935, 15946, 15960, 15962, 15963, 15966, 15980, 16000, 16002, 16004, 16013, 16018, 16019, 16021, 16029, 16030, 16034, 16036, 16038, 16041, 16049, 16061, 16063, 16066, 16071, 16081, 16082, 16089, 16091, 16093, 16095, 16104, 16106, 16109, 16110, 16111, 16116, 16117, 16123, 16128, 16132, 16138, 16141, 16151, 16154, 16157, 16159, 16161, 16172, 16175, 16178, 16180, 16182, 16183, 16187, 16188, 16191, 16193, 16194, 16199, 16202, 16205, 16209, 16211, 16216, 16220, 16221, 16226, 16227, 16235, 16236, 16240, 16243, 16245, 16254, 16276, 16278, 16279, 16283, 16288, 16295, 16298, 16299, 16301, 16303, 16311, 16318, 16320, 16324, 16332, 16347, 16349, 16350, 16353, 16362, 16363, 16364, 16369, 16375, 16376, 16378, 16381, 16383, 16402, 16403, 16409, 16410, 16419, 16420, 16423, 16432, 16447, 16449, 16453, 16460, 16461, 16468, 16484, 16491, 16498, 16500, 16501, 16517, 16521, 16523, 16524, 16525, 16526, 16527, 16541, 16546, 16547, 16548, 16551, 16558, 16561, 16563, 16568, 16578, 16580, 16588, 16597, 16600, 16604, 16607, 16610, 16613, 16620, 16625, 16637, 16653, 16656, 16658, 16663, 16667, 16668, 16670, 16675, 16678, 16685, 16692, 16705, 16709, 16714, 16715, 16717, 16721, 16730, 16733, 16738, 16740, 16744, 16750, 16751, 16752]
Gap-uri:
[1, 1, 3, 5, 7, 1, 2, 1, 5, 11, 3, 1, 2, 1, 2, 1, 3, 4, 5, 5, 5, 2, 5, 2, 2, 2, 6, 9, 2, 1, 3, 7, 3, 8, 3, 9, 3, 2, 3, 3, 3, 1, 4, 1, 4, 1, 5, 2, 1, 1, 9, 1, 4, 8, 2, 6, 3, 3, 1, 1, 3, 2, 7, 4, 1, 2, 5, 1, 2, 5, 8, 1, 2, 5, 3, 11, 4, 18, 2, 3, 1, 5, 2, 10, 1, 3, 1, 4, 1, 1, 2, 4, 3, 5, 1, 1, 7, 5, 1, 1, 7, 1, 5, 3, 1, 12, 12, 4, 5, 1, 10, 7, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 4, 5, 3, 5, 4, 3, 3, 4, 1, 1, 2, 13, 1, 3, 2, 6, 8, 2, 3, 2, 3, 4, 1, 1, 2, 1, 2, 1, 2, 5, 6, 7, 1, 1, 3, 4, 5, 4, 1, 16, 4, 1, 1, 2, 1, 1, 4, 3, 3, 2, 5, 5, 5, 8, 5, 3, 5, 3, 2, 3, 4, 2, 3, 1, 1, 10, 1, 8, 1, 2, 4, 2, 2, 2, 5, 2, 4, 3, 1, 7, 8, 3, 2, 2, 21, 7, 2, 3, 2, 3, 3, 2, 4, 8, 10, 5, 1, 3, 1, 2, 1, 9, 1, 1, 4, 3, 6, 23, 1, 5, 1, 6, 1, 6, 1, 7, 1, 5, 4, 3, 4, 5, 1, 1, 1, 7, 3, 5, 2, 2, 5, 4, 3, 2, 2, 1, 4, 5, 1, 2, 5, 8, 2, 3, 1, 1, 3, 1, 5, 9, 2, 3, 7, 1, 2, 8, 4, 1, 1, 2, 5, 10, 2, 3, 2, 6, 2, 3, 5, 4, 1, 1, 1, 7, 5, 5, 2, 2, 1, 5, 2, 3, 7, 8, 13, 9, 3, 5, 9, 2, 1, 5, 1, 4, 2, 1, 7, 4, 3, 1, 10, 5, 2, 4, 2, 2, 2, 1, 5, 12, 4, 5, 5, 2, 9, 1, 1, 1, 1, 2, 2, 5, 7, 1, 7, 8, 2, 2, 1, 2, 4, 1, 3, 1, 6, 4, 2, 2, 1, 5, 2, 5, 1, 6, 6, 8, 2, 2, 4, 9, 6, 1, 2, 2, 2, 5, 1, 1, 2, 1, 3, 1, 8, 2, 4, 4, 3, 5, 2, 11, 3, 4, 2, 3, 3, 1, 3, 3, 2, 4, 3, 13, 3, 9, 2, 3, 9, 3, 1, 1, 6, 1, 1, 2, 3, 11, 1, 5, 3, 3, 2, 4, 1, 1, 3, 1, 4, 1, 2, 6, 1, 1, 2, 2, 1, 1, 1, 5, 2, 2, 8, 4, 1, 1, 1, 2, 3, 1, 3, 2, 3, 3, 5, 1, 2, 5, 2, 4, 1, 3, 4, 2, 4, 9, 3, 3, 9, 1, 4, 3, 4, 5, 3, 1, 3, 5, 10, 2, 2, 2, 8, 4, 1, 1, 3, 1, 1, 3, 5, 2, 19, 1, 6, 4, 2, 4, 5, 3, 1, 9, 6, 5, 5, 7, 5, 15, 10, 4, 2, 1, 1, 4, 4, 7, 1, 6, 4, 3, 3, 8, 2, 5, 1, 5, 18, 3, 9, 11, 1, 2, 1, 3, 5, 5, 1, 1, 3, 8, 5, 8, 2, 1, 3, 1, 2, 2, 2, 18, 1, 2, 15, 1, 8, 1, 1, 2, 8, 1, 2, 4, 5, 4, 6, 2, 13, 4, 2, 6, 1, 5, 3, 1, 6, 1, 10, 3, 6, 12, 2, 14, 1, 3, 2, 18, 3, 5, 8, 12, 9, 6, 1, 3, 11, 5, 2, 1, 1, 8, 1, 4, 1, 4, 8, 2, 9, 2, 7, 5, 4, 2, 4, 3, 4, 1, 5, 1, 5, 2, 1, 3, 3, 7, 2, 4, 2, 1, 6, 1, 3, 6, 4, 1, 5, 3, 4, 5, 5, 2, 5, 7, 2, 9, 3, 4, 10, 3, 1, 7, 1, 2, 4, 2, 13, 1, 19, 5, 7, 1, 1, 2, 1, 1, 4, 6, 7, 4, 4, 5, 3, 3, 3, 3, 2, 6, 1, 2, 2, 5, 2, 5, 2, 5, 4, 1, 4, 4, 6, 2, 1, 5, 11, 13, 2, 2, 2, 2, 5, 2, 2, 1, 4, 3, 3, 5, 2, 4, 1, 2, 5, 1, 1, 5, 5, 1, 1, 8, 3, 2, 3, 2, 1, 5, 6, 1, 1, 4, 4, 1, 4, 2, 2, 1, 2, 5, 2, 3, 1, 1, 6, 4, 1, 1, 6, 2, 3, 3, 1, 2, 4, 1, 7, 17, 8, 1, 2, 24, 3, 1, 3, 2, 2, 1, 1, 4, 2, 3, 1, 2, 2, 3, 3, 5, 1, 3, 4, 1, 12, 7, 1, 2, 1, 4, 2, 1, 4, 1, 1, 3, 1, 10, 9, 1, 4, 5, 9, 2, 2, 3, 1, 3, 7, 6, 2, 5, 3, 1, 4, 2, 5, 1, 1, 2, 4, 1, 1, 1, 2, 1, 3, 6, 7, 1, 1, 2, 3, 1, 2, 12, 3, 1, 9, 1, 1, 8, 5, 2, 1, 4, 3, 9, 3, 1, 3, 3, 1, 1, 3, 3, 5, 4, 1, 1, 22, 1, 1, 6, 6, 1, 2, 5, 3, 1, 3, 2, 8, 7, 4, 4, 2, 1, 1, 7, 2, 2, 2, 3, 4, 11, 6, 1, 3, 3, 1, 1, 3, 5, 1, 2, 2, 4, 10, 11, 3, 10, 2, 3, 4, 4, 13, 5, 4, 1, 1, 4, 2, 1, 3, 4, 9, 1, 3, 7, 3, 5, 1, 2, 4, 7, 1, 4, 1, 4, 4, 4, 1, 4, 5, 9, 6, 11, 5, 4, 5, 1, 4, 3, 4, 3, 1, 1, 6, 1, 4, 19, 1, 2, 5, 1, 1, 1, 3, 17, 1, 1, 6, 6, 1, 1, 12, 18, 2, 3, 2, 2, 1, 1, 5, 8, 10, 1, 2, 6, 11, 4, 3, 1, 2, 5, 5, 2, 5, 5, 2, 1, 4, 7, 5, 1, 4, 5, 1, 1, 5, 3, 8, 4, 2, 3, 9, 2, 2, 2, 1, 1, 3, 11, 1, 2, 3, 4, 4, 3, 4, 3, 3, 1, 5, 1, 1, 3, 6, 3, 1, 2, 7, 1, 4, 1, 1, 1, 5, 3, 1, 5, 10, 3, 9, 1, 1, 11, 1, 1, 7, 1, 3, 1, 2, 3, 7, 5, 7, 12, 1, 2, 2, 1, 5, 3, 4, 1, 3, 3, 2, 3, 1, 1, 3, 12, 13, 2, 1, 2, 3, 8, 7, 1, 1, 3, 5, 3, 2, 1, 2, 8, 3, 1, 1, 1, 4, 3, 10, 2, 6, 4, 2, 10, 1, 4, 1, 1, 5, 1, 5, 1, 3, 2, 1, 7, 2, 6, 2, 8, 2, 1, 7, 3, 20, 4, 1, 9, 2, 6, 9, 2, 1, 3, 14, 3, 10, 6, 2, 4, 4, 4, 9, 2, 3, 10, 2, 4, 6, 3, 1, 1, 1, 5, 4, 8, 4, 1, 1, 9, 2, 16, 3, 3, 9, 8, 4, 1, 13, 1, 6, 4, 6, 3, 3, 2, 5, 5, 2, 2, 4, 1, 5, 3, 6, 1, 3, 8, 13, 1, 6, 1, 2, 1, 2, 5, 1, 9, 1, 2, 9, 5, 7, 1, 2, 1, 4, 1, 4, 1, 3, 1, 4, 4, 2, 3, 2, 2, 3, 1, 7, 1, 8, 1, 1, 5, 4, 1, 3, 6, 3, 1, 6, 1, 6, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 6, 1, 1, 5, 4, 11, 5, 1, 3, 4, 1, 5, 2, 1, 7, 1, 5, 1, 1, 2, 6, 1, 2, 1, 1, 6, 5, 4, 5, 1, 2, 4, 5, 8, 1, 6, 6, 18, 1, 1, 4, 1, 2, 3, 5, 3, 7, 2, 2, 3, 6, 1, 6, 1, 2, 3, 2, 7, 8, 1, 7, 7, 4, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 5, 5, 4, 8, 1, 9, 4, 6, 2, 1, 1, 2, 8, 2, 17, 1, 1, 4, 7, 6, 2, 4, 3, 10, 8, 4, 2, 2, 1, 2, 11, 7, 2, 6, 1, 4, 9, 2, 2, 4, 1, 2, 1, 3, 1, 4, 1, 3, 4, 3, 4, 3, 6, 5, 3, 4, 1, 4, 1, 5, 4, 1, 6, 6, 7, 3, 8, 3, 2, 2, 1, 3, 1, 7, 2, 2, 5, 2, 7, 11, 3, 2, 10, 6, 1, 1, 14, 1, 4, 6, 2, 1, 2, 1, 4, 2, 2, 2, 2, 4, 4, 1, 1, 4, 1, 2, 1, 3, 2, 8, 1, 4, 3, 2, 3, 3, 10, 1, 4, 6, 2, 5, 3, 8, 9, 2, 6, 13, 2, 1, 6, 4, 1, 2, 1, 7, 4, 1, 3, 2, 2, 2, 2, 3, 7, 18, 5, 2, 2, 4, 4, 1, 4, 1, 31, 4, 3, 3, 12, 6, 2, 4, 5, 3, 4, 2, 7, 5, 4, 21, 8, 10, 2, 5, 2, 6, 5, 9, 6, 9, 3, 6, 1, 3, 4, 1, 21, 1, 1, 8, 2, 1, 4, 7, 7, 4, 5, 2, 5, 4, 1, 4, 1, 8, 4, 6, 3, 1, 2, 2, 13, 2, 3, 1, 2, 4, 2, 1, 1, 3, 5, 1, 3, 6, 11, 1, 4, 4, 7, 2, 1, 1, 7, 2, 2, 2, 8, 1, 3, 1, 3, 10, 5, 2, 5, 1, 3, 5, 1, 2, 2, 4, 11, 3, 3, 1, 4, 2, 1, 2, 13, 10, 7, 8, 1, 1, 3, 4, 2, 5, 3, 1, 1, 7, 2, 2, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 2, 9, 1, 4, 3, 1, 8, 1, 9, 1, 3, 2, 2, 1, 3, 2, 4, 4, 2, 1, 5, 4, 7, 3, 1, 1, 3, 1, 2, 2, 1, 1, 6, 9, 3, 7, 1, 1, 3, 4, 9, 1, 1, 3, 3, 2, 2, 5, 4, 4, 3, 8, 3, 4, 3, 5, 4, 3, 1, 3, 3, 2, 1, 4, 1, 7, 2, 3, 1, 6, 8, 2, 1, 3, 1, 3, 6, 6, 2, 1, 19, 2, 4, 7, 3, 2, 6, 3, 1, 1, 1, 10, 3, 2, 1, 4, 7, 4, 4, 5, 2, 8, 3, 5, 4, 3, 2, 1, 2, 2, 4, 6, 1, 15, 1, 1, 1, 2, 2, 1, 2, 5, 2, 9, 6, 1, 1, 1, 2, 9, 1, 2, 6, 1, 4, 3, 5, 10, 2, 3, 3, 10, 10, 5, 6, 5, 2, 2, 8, 1, 10, 19, 2, 1, 3, 1, 7, 10, 1, 3, 3, 2, 2, 1, 6, 4, 1, 2, 1, 4, 2, 1, 2, 9, 3, 2, 3, 8, 1, 3, 3, 7, 7, 5, 8, 6, 7, 2, 6, 3, 10, 2, 7, 3, 1, 2, 1, 3, 1, 1, 6, 2, 6, 4, 1, 3, 14, 8, 2, 2, 6, 6, 4, 6, 2, 4, 3, 14, 5, 1, 6, 9, 6, 1, 2, 9, 1, 8, 1, 2, 2, 1, 5, 5, 4, 3, 2, 1, 1, 2, 2, 2, 2, 3, 10, 6, 5, 4, 4, 4, 1, 9, 2, 4, 12, 6, 3, 8, 2, 3, 4, 1, 4, 1, 3, 1, 7, 2, 9, 7, 10, 13, 2, 2, 8, 4, 3, 1, 1, 2, 1, 1, 16, 3, 2, 8, 1, 2, 3, 4, 1, 3, 1, 1, 8, 6, 4, 6, 1, 3, 3, 1, 8, 2, 10, 4, 14, 3, 5, 7, 1, 4, 3, 5, 1, 1, 1, 9, 1, 1, 1, 5, 2, 1, 6, 1, 10, 6, 12, 1, 1, 15, 14, 2, 2, 3, 9, 10, 6, 3, 13, 7, 1, 1, 5, 1, 6, 1, 1, 1, 8, 3, 4, 1, 6, 1, 2, 1, 2, 1, 1, 5, 5, 2, 9, 1, 3, 1, 6, 2, 8, 2, 1, 1, 6, 4, 3, 9, 2, 1, 1, 2, 4, 2, 2, 6, 1, 1, 1, 4, 11, 2, 13, 8, 4, 3, 3, 2, 4, 3, 2, 11, 10, 3, 2, 1, 4, 1, 3, 1, 2, 1, 1, 2, 2, 5, 14, 5, 1, 9, 6, 2, 2, 1, 5, 1, 2, 3, 5, 3, 2, 6, 1, 1, 5, 2, 3, 7, 1, 4, 4, 13, 2, 2, 2, 4, 6, 3, 12, 3, 4, 1, 1, 7, 4, 1, 1, 9, 10, 4, 1, 7, 2, 3, 2, 2, 8, 1, 1, 1, 2, 5, 8, 5, 1, 2, 4, 6, 1, 9, 3, 1, 8, 5, 2, 3, 9, 6, 1, 2, 2, 13, 5, 3, 2, 3, 4, 7, 16, 4, 10, 1, 1, 1, 8, 4, 3, 1, 1, 1, 2, 1, 13, 2, 9, 1, 1, 5, 2, 20, 6, 1, 4, 1, 5, 2, 4, 1, 2, 1, 2, 1, 2, 2, 9, 5, 2, 7, 1, 1, 1, 1, 5, 2, 1, 3, 4, 5, 10, 3, 4, 2, 3, 5, 13, 5, 6, 1, 2, 5, 13, 1, 1, 20, 2, 2, 1, 1, 6, 1, 4, 2, 3, 3, 7, 4, 4, 1, 4, 7, 3, 3, 9, 1, 3, 4, 2, 2, 4, 3, 2, 3, 6, 7, 5, 1, 3, 5, 1, 2, 1, 6, 1, 10, 4, 2, 1, 1, 9, 2, 5, 4, 9, 5, 2, 7, 3, 1, 1, 6, 7, 9, 2, 9, 8, 6, 5, 17, 2, 2, 2, 8, 8, 1, 4, 3, 5, 2, 4, 3, 4, 3, 1, 2, 4, 4, 6, 1, 2, 3, 3, 1, 1, 2, 9, 1, 3, 1, 3, 2, 9, 5, 1, 4, 2, 6, 5, 4, 3, 3, 2, 3, 4, 5, 2, 3, 8, 2, 4, 3, 5, 1, 8, 8, 2, 1, 2, 2, 16, 1, 3, 1, 6, 1, 1, 4, 5, 1, 3, 1, 6, 1, 3, 1, 5, 2, 9, 2, 3, 1, 3, 6, 2, 1, 10, 1, 5, 5, 3, 1, 4, 1, 2, 2, 11, 4, 5, 2, 15, 8, 1, 10, 4, 2, 2, 2, 1, 1, 1, 2, 5, 4, 4, 6, 1, 3, 9, 2, 1, 1, 3, 5, 1, 2, 5, 3, 3, 9, 5, 3, 2, 6, 5, 13, 12, 11, 1, 3, 4, 4, 1, 1, 1, 1, 7, 5, 4, 3, 3, 2, 5, 2, 1, 8, 4, 3, 3, 14, 2, 2, 10, 3, 2, 2, 2, 2, 2, 6, 1, 7, 3, 7, 2, 5, 3, 4, 1, 2, 3, 9, 1, 1, 5, 5, 1, 1, 6, 1, 9, 4, 2, 1, 5, 3, 2, 4, 4, 2, 4, 4, 2, 8, 7, 1, 2, 6, 1, 1, 2, 3, 2, 11, 1, 3, 2, 4, 10, 11, 3, 1, 6, 1, 2, 1, 2, 1, 1, 9, 6, 7, 3, 8, 2, 1, 2, 8, 1, 8, 2, 3, 2, 1, 8, 6, 1, 2, 1, 2, 2, 6, 2, 7, 2, 3, 2, 6, 5, 2, 3, 7, 1, 4, 2, 3, 1, 24, 7, 1, 4, 6, 3, 9, 9, 3, 11, 10, 10, 1, 10, 2, 3, 1, 1, 3, 8, 6, 1, 1, 12, 1, 5, 7, 1, 9, 1, 2, 3, 1, 6, 2, 12, 1, 1, 19, 3, 10, 2, 1, 1, 4, 2, 2, 6, 16, 5, 8, 1, 6, 1, 4, 3, 6, 1, 1, 8, 2, 9, 1, 2, 6, 3, 3, 5, 1, 5, 1, 8, 1, 4, 1, 8, 1, 2, 8, 9, 8, 2, 2, 5, 1, 1, 1, 8, 4, 2, 8, 1, 6, 1, 4, 2, 1, 10, 1, 3, 5, 6, 12, 4, 2, 3, 3, 3, 4, 5, 11, 2, 3, 2, 4, 3, 3, 2, 1, 6, 4, 1, 3, 1, 5, 2, 1, 4, 13, 3, 4, 11, 17, 4, 2, 2, 2, 12, 2, 6, 2, 1, 2, 3, 10, 3, 1, 5, 6, 1, 2, 1, 5, 8, 4, 2, 4, 7, 1, 6, 3, 2, 15, 1, 1, 1, 11, 4, 2, 6, 1, 2, 1, 4, 1, 4, 6, 5, 1, 1, 3, 4, 2, 2, 2, 2, 3, 1, 5, 12, 6, 2, 6, 4, 1, 3, 6, 1, 2, 5, 17, 3, 14, 3, 1, 10, 1, 1, 2, 3, 1, 3, 3, 3, 1, 6, 8, 3, 1, 2, 4, 8, 6, 4, 3, 3, 2, 2, 11, 6, 1, 16, 2, 7, 3, 12, 2, 3, 5, 1, 2, 2, 2, 1, 1, 2, 1, 5, 3, 6, 4, 1, 2, 2, 5, 2, 8, 1, 6, 2, 4, 3, 2, 2, 6, 1, 5, 2, 6, 1, 2, 2, 6, 3, 7, 4, 1, 1, 2, 2, 2, 1, 6, 18, 5, 2, 3, 6, 1, 1, 2, 2, 3, 2, 11, 1, 4, 6, 4, 3, 2, 1, 5, 2, 1, 6, 14, 3, 1, 14, 5, 3, 2, 2, 4, 9, 4, 5, 1, 4, 8, 7, 2, 10, 1, 1, 9, 1, 3, 1, 2, 2, 12, 6, 8, 2, 1, 1, 1, 2, 5, 5, 5, 6, 13, 3, 2, 2, 5, 1, 1, 5, 3, 3, 2, 3, 3, 16, 3, 9, 6, 2, 4, 4, 13, 4, 7, 7, 11, 4, 20, 1, 2, 7, 3, 5, 5, 5, 7, 1, 2, 2, 4, 1, 6, 4, 10, 6, 9, 3, 4, 4, 1, 7, 1, 4, 13, 1, 1, 4, 3, 3, 3, 1, 3, 3, 3, 2, 1, 2, 2, 1, 7, 10, 2, 1, 1, 1, 9, 4, 2, 4, 1, 1, 1, 5, 4, 1, 13, 17, 3, 3, 11, 1, 7, 1, 1, 1, 2, 5, 2, 1, 1, 3, 2, 12, 5, 7, 1, 3, 1, 2, 5, 4, 6, 13, 1, 4, 4, 3, 1, 4, 1, 2, 3, 6, 1, 4, 4, 4, 2, 2, 1, 1, 8, 5, 4, 3, 2, 6, 10, 1, 1, 7, 4, 9, 3, 2, 9, 5, 2, 2, 5, 6, 5, 6, 1, 5, 3, 3, 4, 2, 3, 1, 2, 2, 1, 1, 9, 1, 1, 2, 16, 2, 4, 1, 5, 8, 2, 1, 3, 3, 2, 5, 6, 1, 1, 1, 5, 8, 7, 2, 3, 4, 4, 1, 6, 2, 3, 4, 2, 4, 14, 1, 2, 5, 8, 5, 2, 4, 6, 2, 1, 5, 2, 4, 2, 9, 1, 2, 2, 3, 3, 11, 6, 1, 3, 2, 2, 14, 4, 4, 1, 1, 3, 9, 3, 3, 7, 1, 28, 10, 2, 3, 3, 2, 1, 2, 2, 2, 5, 7, 3, 2, 7, 1, 7, 16, 14, 1, 1, 4, 2, 9, 2, 4, 4, 1, 6, 2, 1, 2, 14, 1, 4, 1, 12, 4, 1, 3, 6, 4, 6, 3, 5, 2, 5, 3, 2, 6, 6, 2, 4, 1, 7, 14, 1, 2, 5, 5, 2, 1, 4, 3, 3, 3, 11, 1, 10, 2, 1, 16, 8, 2, 2, 7, 9, 3, 20, 7, 7, 4, 2, 1, 2, 5, 1, 5, 1, 6, 1, 3, 3, 4, 7, 5, 3, 2, 3, 4, 4, 1, 6, 2, 4, 1, 2, 2, 9, 13, 2, 2, 7, 5, 2, 2, 6, 1, 1, 4, 2, 1, 3, 2, 2, 2, 2, 6, 2, 4, 6, 1, 6, 7, 13, 7, 1, 8, 3, 2, 3, 3, 1, 6, 4, 14, 2, 3, 6, 2, 8, 21, 6, 1, 7, 2, 1, 5, 5, 1, 5, 6, 1, 6, 3, 4, 1, 2, 5, 2, 2, 7, 1, 1, 14, 5, 2, 8, 1, 5, 1, 8, 2, 4, 3, 1, 2, 2, 8, 8, 6, 3, 1, 6, 5, 15, 2, 2, 2, 2, 8, 2, 2, 4, 2, 2, 1, 7, 1, 1, 10, 9, 1, 7, 1, 1, 2, 2, 4, 1, 3, 3, 4, 3, 6, 1, 1, 7, 1, 8, 2, 1, 4, 1, 4, 1, 6, 5, 6, 6, 6, 9, 1, 9, 13, 3, 2, 1, 8, 4, 5, 1, 6, 2, 7, 6, 6, 1, 1, 15, 9, 2, 2, 11, 1, 1, 2, 1, 11, 10, 1, 2, 5, 4, 1, 2, 12, 1, 4, 5, 2, 6, 1, 5, 5, 1, 2, 11, 2, 2, 7, 5, 3, 5, 2, 10, 3, 6, 4, 4, 4, 14, 1, 1, 3, 5, 4, 4, 2, 1, 3, 10, 4, 11, 4, 12, 4, 3, 4, 3, 7, 2, 2, 11, 5, 4, 4, 3, 3, 3, 4, 3, 3, 11, 10, 7, 2, 4, 4, 3, 4, 3, 11, 2, 8, 2, 3, 14, 1, 1, 3, 1, 2, 7, 5, 2, 7, 3, 3, 3, 8, 1, 7, 5, 2, 4, 1, 2, 2, 2, 3, 2, 6, 3, 1, 2, 2, 1, 1, 3, 4, 1, 3, 1, 4, 3, 1, 2, 7, 1, 3, 12, 19, 2, 1, 1, 12, 1, 2, 1, 1, 1, 1, 4, 7, 6, 1, 6, 1, 6, 8, 2, 4, 1, 5, 5, 5, 2, 5, 10, 3, 1, 6, 3, 6, 2, 2, 3, 4, 2, 3, 2, 8, 12, 3, 8, 2, 1, 5, 4, 1, 10, 3, 5, 1, 6, 5, 1, 7, 2, 3, 1, 2, 1, 2, 2, 14, 1, 2, 6, 1, 1, 1, 8, 1, 1, 4, 5, 3, 3, 5, 1, 10, 5, 13, 9, 2, 4, 5, 3, 2, 5, 2, 2, 1, 3, 3, 1, 1, 2, 9, 8, 10, 5, 5, 1, 3, 1, 1, 2, 6, 1, 3, 1, 1, 6, 1, 4, 6, 12, 8, 2, 3, 2, 4, 14, 1, 3, 6, 1, 1, 5, 15, 9, 5, 3, 3, 4, 2, 4, 5, 6, 2, 4, 7, 3, 1, 3, 3, 6, 5, 1, 6, 14, 3, 2, 2, 2, 1, 11, 4, 8, 8, 7, 4, 1, 3, 9, 2, 8, 1, 5, 1, 10, 3, 2, 2, 5, 6, 4, 1, 3, 16, 2, 1, 1, 4, 1, 9, 2, 6, 10, 4, 1, 6, 1, 5, 7, 7, 6, 4, 2, 12, 2, 2, 2, 1, 7, 1, 4, 7, 4, 9, 1, 1, 5, 3, 4, 2, 6, 17, 4, 5, 3, 1, 2, 1, 1, 1, 3, 5, 4, 3, 4, 2, 3, 3, 3, 3, 3, 4, 5, 1, 7, 1, 12, 2, 1, 9, 1, 3, 2, 1, 2, 1, 4, 7, 3, 2, 3, 2, 2, 2, 1, 3, 6, 4, 1, 2, 1, 6, 2, 1, 3, 1, 6, 6, 2, 2, 6, 2, 2, 1, 6, 1, 8, 4, 8, 8, 8, 3, 16, 10, 2, 11, 2, 1, 2, 1, 2, 1, 3, 6, 4, 6, 2, 2, 1, 5, 5, 4, 3, 2, 3, 5, 2, 1, 11, 6, 5, 1, 3, 5, 1, 1, 4, 2, 4, 3, 6, 8, 1, 6, 6, 10, 4, 2, 7, 4, 8, 12, 2, 7, 2, 6, 6, 5, 5, 4, 2, 9, 3, 2, 4, 4, 3, 1, 1, 2, 6, 8, 9, 6, 1, 2, 1, 11, 4, 6, 5, 1, 6, 6, 1, 3, 2, 10, 9, 33, 4, 2, 6, 1, 4, 7, 2, 1, 8, 9, 2, 3, 1, 2, 4, 3, 3, 5, 1, 4, 2, 4, 2, 3, 1, 2, 4, 2, 1, 2, 10, 9, 5, 5, 2, 13, 6, 7, 8, 2, 3, 7, 3, 2, 2, 1, 3, 2, 5, 1, 10, 1, 2, 3, 5, 2, 1, 1, 2, 13, 3, 4, 3, 8, 4, 17, 2, 4, 5, 2, 1, 17, 1, 6, 1, 2, 1, 2, 2, 8, 4, 1, 3, 2, 2, 8, 2, 8, 5, 3, 3, 13, 1, 4, 4, 1, 4, 5, 1, 5, 23, 1, 3, 1, 10, 4, 1, 1, 7, 13, 2, 2, 3, 2, 4, 4, 3, 10, 3, 7, 3, 10, 2, 3, 3, 3, 1, 2, 2, 8, 14, 1, 1, 1, 6, 3, 10, 4, 4, 3, 18, 1, 2, 1, 9, 5, 8, 3, 1, 1, 3, 11, 1, 2, 1, 1, 2, 3, 1, 5, 4, 3, 11, 14, 2, 1, 3, 14, 20, 2, 2, 9, 5, 1, 2, 8, 1, 4, 2, 2, 3, 8, 12, 2, 3, 5, 10, 1, 7, 2, 2, 2, 9, 2, 3, 1, 1, 5, 1, 6, 5, 4, 6, 3, 10, 3, 3, 2, 2, 11, 3, 3, 2, 2, 1, 4, 1, 3, 2, 1, 5, 3, 3, 4, 2, 5, 4, 1, 5, 1, 8, 1, 4, 3, 2, 9, 22, 2, 1, 4, 5, 7, 3, 1, 2, 2, 8, 7, 2, 4, 8, 15, 2, 1, 3, 9, 1, 1, 5, 6, 1, 2, 3, 2, 19, 1, 6, 1, 9, 1, 3, 9, 15, 2, 4, 7, 1, 7, 16, 7, 7, 2, 1, 16, 4, 2, 1, 1, 1, 1, 14, 5, 1, 1, 3, 7, 3, 2, 5, 10, 2, 8, 9, 3, 4, 3, 3, 3, 7, 5, 12, 16, 3, 2, 5, 4, 1, 2, 5, 3, 7, 7, 13, 4, 5, 1, 2, 4, 9, 3, 5, 2, 4, 6, 1, 1]