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
24,305,140 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 #64 = {65} random

Descriptive

Apariții
4243
Mean ± std
3.95 ± 3.47
CV (std/mean)
0.878
Min/Max gap
1 / 35
Last seen
16747 (gap actual: 7)

Percentile gap-uri

P25 / mediana / P75
1 / 3 / 5
P90 / P95
8 / 11
IQR
4

Streaks & Pattern

Hot streak (consecutive)
8
Cold streak (max absență)
35
Autocorrelation lag-1
0.02
Drift (h2-h1)
0.22
Best period T
T=29 (entropy=0.001)

Overdue Status

Current gap
7
vs mean (z-score)
0.88 σ
vs P95
0.64x

Statistical Test (Chi-square)

chi²
355.74
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2970 / 1273 apariții
Mean train
3.9
MAE
2.58
Accuracy
33.9%
Erori per pred
[1,3,0,3,2,16,3,3,3,6,3,2,0,1,1,2,1,2,3,2,2,3,3,2,3,1,5,2,1,3,3,2,3,1,2,1,4,3,3,0,0,3,1,2,2,2,1,2,2,1,2,3,5,3,13,3,3,3,3,0,3,3,1,10,1,1,3,2,4,2,1,3,3,2,0,0,5,3,0,1,1,0,12,16,3,2,3,9,4,0,2,4,2,2,2,3,5,9,3,1,3,3,4,0,2,3,2,4,3,2,1,1,2,2,0,2,3,2,11,5,1,9,1,2,2,3,5,2,2,1,11,3,2,1,6,3,1,1,3,2,2,3,3,2,3,0,3,7,1,2,1,3,0,0,3,1,3,2,3,3,0,3,4,3,2,2,2,1,2,3,3,3,2,3,4,1,1,5,2,2,1,2,3,2,2,0,0,10,10,3,3,2,4,3,2,3,1,1,2,2,3,0,2,1,2,1,1,0,2,2,3,3,3,6,2,0,1,0,2,3,3,3,2,8,3,1,1,2,3,3,1,3,1,3,3,0,3,0,2,2,3,5,10,2,1,13,2,2,2,1,3,3,1,2,6,0,3,3,9,3,2,2,2,2,1,3,2,3,0,3,2,1,3,3,3,3,1,4,2,4,1,1,3,3,2,3,1,1,1,3,2,0,2,3,0,1,2,3,1,2,2,4,2,2,2,1,1,0,0,2,3,0,3,5,3,3,0,1,3,3,2,1,3,3,1,3,3,10,1,7,3,2,2,1,4,3,2,3,3,1,3,3,3,3,3,1,2,2,2,1,2,3,3,2,3,3,4,3,2,2,1,3,2,3,3,1,2,6,3,3,2,3,3,2,1,2,3,1,1,3,3,0,1,3,1,2,1,0,0,3,1,3,5,2,0,1,1,3,2,0,1,1,1,0,2,3,2,3,1,3,2,2,2,1,1,0,0,3,3,0,2,3,2,3,2,3,10,2,1,2,1,2,2,2,3,1,3,2,4,13,0,0,0,2,1,2,2,3,0,1,5,3,1,2,1,3,1,1,0,4,3,0,3,1,4,1,4,0,2,3,16,3,3,3,2,3,0,1,1,1,1,0,3,0,3,7,2,1,3,0,2,3,2,4,3,0,3,4,1,0,6,3,3,1,0,11,2,1,2,2,3,1,4,3,1,5,4,17,2,1,3,1,3,16,1,6,2,0,3,0,3,1,2,2,3,3,0,2,0,7,1,2,5,2,3,3,3,3,3,1,0,3,1,12,2,3,7,1,5,0,2,0,1,3,31,0,1,4,5,3,3,3,2,0,2,3,3,0,3,2,1,3,1,2,2,2,2,1,2,1,3,0,3,1,3,3,2,9,0,1,6,1,1,6,6,1,1,0,3,3,3,2,4,3,3,2,11,1,3,2,2,1,2,3,2,8,2,2,3,3,2,4,3,2,3,1,5,1,3,3,3,3,2,2,2,1,3,3,3,3,2,3,1,3,3,2,3,2,3,17,1,3,0,1,2,2,2,1,2,0,1,2,2,15,2,4,3,1,3,2,1,1,2,3,2,4,3,2,5,1,2,0,1,3,1,3,1,2,2,2,0,0,1,5,1,3,3,2,2,6,3,0,3,1,2,20,3,9,3,3,0,3,3,6,2,1,5,0,2,2,2,6,0,1,3,3,4,2,6,1,9,1,1,2,3,2,4,2,7,3,16,1,1,2,1,3,2,0,0,0,1,1,1,11,2,1,2,0,0,0,0,6,1,1,13,2,1,2,3,1,1,6,2,2,5,3,2,3,2,5,2,0,0,2,3,3,2,1,8,2,7,2,0,2,0,3,1,3,6,3,1,0,2,0,3,1,2,1,2,3,2,2,1,1,13,6,1,2,4,1,1,2,2,1,0,1,2,7,2,0,3,4,2,3,3,2,3,3,7,2,1,1,3,2,1,3,0,2,9,3,3,2,5,2,3,3,2,0,3,3,3,3,1,2,2,2,3,1,0,2,0,1,1,1,1,9,4,2,3,2,1,1,0,3,0,0,3,2,1,0,3,3,2,0,2,5,0,3,1,3,13,5,2,8,2,2,3,0,5,1,1,3,3,3,3,2,2,1,2,3,3,3,1,1,0,2,2,4,2,1,2,2,3,1,3,2,0,1,6,2,1,5,1,0,3,3,2,1,3,5,1,5,2,3,0,9,0,3,1,3,13,1,3,3,8,3,2,3,1,2,1,2,2,2,2,2,0,1,3,12,2,1,2,2,2,0,0,1,0,3,0,0,3,1,4,2,3,3,2,3,2,3,0,2,5,1,1,3,0,0,3,0,3,2,2,1,3,0,3,2,3,3,2,3,1,6,2,2,3,2,3,7,2,8,0,1,3,2,2,2,3,1,3,7,2,3,2,1,0,2,3,1,8,7,1,3,0,2,0,3,3,6,2,2,6,0,3,0,3,3,1,2,6,2,1,3,1,2,1,7,3,0,1,3,1,3,3,3,1,3,1,1,8,2,2,7,3,3,3,1,3,2,3,3,2,3,3,1,2,0,2,0,3,2,6,0,8,2,3,0,3,2,2,2,2,1,3,3,3,0,1,3,3,1,1,2,1,3,2,3,0,2,2,2,3,7,4,2,1,0,1,3,3,2,2,2,2,1,3,4,2,3,4,2,3,0,3,3,3,3,3,2,2,1,2,3,3,6,2,2,3,9,2,2,2,1,1,1,2,0,2,12,3,4,12,4,2,2,0,3,3,3,2,3,1,2,2,0,0,2,2,1,1,2,3,1,2,1,3,1,3,1,2,3,3,3,0,2,0,1,1,4,3,5,2,2,15,1,3,2,3,3,3,1,3,2,3,3,3,7,0,2,0,14,3,5,2,2,3,1,3,6,1]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.561
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.339
Total: 55.8%

🎯 Predicție următoarea apariție

Most likely
draw #16755
±1 sigma window
[16755..16755]
P25-P95 window
[16755..16758]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 22 apariții Extrageri 84-167: 21 apariții Extrageri 168-251: 21 apariții Extrageri 252-335: 27 apariții Extrageri 336-418: 17 apariții Extrageri 419-502: 24 apariții Extrageri 503-586: 16 apariții Extrageri 587-670: 20 apariții Extrageri 671-753: 19 apariții Extrageri 754-837: 25 apariții Extrageri 838-921: 22 apariții Extrageri 922-1005: 17 apariții Extrageri 1006-1089: 22 apariții Extrageri 1090-1172: 25 apariții Extrageri 1173-1256: 23 apariții Extrageri 1257-1340: 16 apariții Extrageri 1341-1424: 24 apariții Extrageri 1425-1507: 21 apariții Extrageri 1508-1591: 18 apariții Extrageri 1592-1675: 19 apariții Extrageri 1676-1759: 21 apariții Extrageri 1760-1842: 24 apariții Extrageri 1843-1926: 28 apariții Extrageri 1927-2010: 21 apariții Extrageri 2011-2094: 20 apariții Extrageri 2095-2178: 27 apariții Extrageri 2179-2261: 23 apariții Extrageri 2262-2345: 25 apariții Extrageri 2346-2429: 20 apariții Extrageri 2430-2513: 22 apariții Extrageri 2514-2596: 19 apariții Extrageri 2597-2680: 18 apariții Extrageri 2681-2764: 24 apariții Extrageri 2765-2848: 12 apariții Extrageri 2849-2931: 19 apariții Extrageri 2932-3015: 19 apariții Extrageri 3016-3099: 18 apariții Extrageri 3100-3183: 30 apariții Extrageri 3184-3267: 19 apariții Extrageri 3268-3350: 18 apariții Extrageri 3351-3434: 23 apariții Extrageri 3435-3518: 20 apariții Extrageri 3519-3602: 26 apariții Extrageri 3603-3685: 21 apariții Extrageri 3686-3769: 17 apariții Extrageri 3770-3853: 24 apariții Extrageri 3854-3937: 25 apariții Extrageri 3938-4020: 26 apariții Extrageri 4021-4104: 21 apariții Extrageri 4105-4188: 25 apariții Extrageri 4189-4272: 19 apariții Extrageri 4273-4356: 20 apariții Extrageri 4357-4439: 22 apariții Extrageri 4440-4523: 30 apariții Extrageri 4524-4607: 24 apariții Extrageri 4608-4691: 18 apariții Extrageri 4692-4774: 23 apariții Extrageri 4775-4858: 20 apariții Extrageri 4859-4942: 32 apariții Extrageri 4943-5026: 23 apariții Extrageri 5027-5109: 16 apariții Extrageri 5110-5193: 24 apariții Extrageri 5194-5277: 17 apariții Extrageri 5278-5361: 25 apariții Extrageri 5362-5445: 20 apariții Extrageri 5446-5528: 20 apariții Extrageri 5529-5612: 25 apariții Extrageri 5613-5696: 26 apariții Extrageri 5697-5780: 16 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 21 apariții Extrageri 5948-6031: 21 apariții Extrageri 6032-6115: 25 apariții Extrageri 6116-6198: 20 apariții Extrageri 6199-6282: 15 apariții Extrageri 6283-6366: 22 apariții Extrageri 6367-6450: 26 apariții Extrageri 6451-6534: 33 apariții Extrageri 6535-6617: 23 apariții Extrageri 6618-6701: 23 apariții Extrageri 6702-6785: 21 apariții Extrageri 6786-6869: 21 apariții Extrageri 6870-6952: 18 apariții Extrageri 6953-7036: 20 apariții Extrageri 7037-7120: 25 apariții Extrageri 7121-7204: 14 apariții Extrageri 7205-7287: 30 apariții Extrageri 7288-7371: 20 apariții Extrageri 7372-7455: 19 apariții Extrageri 7456-7539: 28 apariții Extrageri 7540-7623: 21 apariții Extrageri 7624-7706: 22 apariții Extrageri 7707-7790: 21 apariții Extrageri 7791-7874: 24 apariții Extrageri 7875-7958: 27 apariții Extrageri 7959-8041: 19 apariții Extrageri 8042-8125: 24 apariții Extrageri 8126-8209: 26 apariții Extrageri 8210-8293: 16 apariții Extrageri 8294-8377: 21 apariții Extrageri 8378-8460: 25 apariții Extrageri 8461-8544: 27 apariții Extrageri 8545-8628: 18 apariții Extrageri 8629-8712: 14 apariții Extrageri 8713-8795: 26 apariții Extrageri 8796-8879: 17 apariții Extrageri 8880-8963: 14 apariții Extrageri 8964-9047: 25 apariții Extrageri 9048-9130: 22 apariții Extrageri 9131-9214: 19 apariții Extrageri 9215-9298: 21 apariții Extrageri 9299-9382: 25 apariții Extrageri 9383-9466: 23 apariții Extrageri 9467-9549: 24 apariții Extrageri 9550-9633: 28 apariții Extrageri 9634-9717: 16 apariții Extrageri 9718-9801: 22 apariții Extrageri 9802-9884: 22 apariții Extrageri 9885-9968: 14 apariții Extrageri 9969-10052: 16 apariții Extrageri 10053-10136: 17 apariții Extrageri 10137-10219: 17 apariții Extrageri 10220-10303: 23 apariții Extrageri 10304-10387: 17 apariții Extrageri 10388-10471: 23 apariții Extrageri 10472-10555: 16 apariții Extrageri 10556-10638: 22 apariții Extrageri 10639-10722: 29 apariții Extrageri 10723-10806: 13 apariții Extrageri 10807-10890: 20 apariții Extrageri 10891-10973: 16 apariții Extrageri 10974-11057: 25 apariții Extrageri 11058-11141: 24 apariții Extrageri 11142-11225: 18 apariții Extrageri 11226-11308: 17 apariții Extrageri 11309-11392: 26 apariții Extrageri 11393-11476: 26 apariții Extrageri 11477-11560: 16 apariții Extrageri 11561-11644: 16 apariții Extrageri 11645-11727: 25 apariții Extrageri 11728-11811: 20 apariții Extrageri 11812-11895: 18 apariții Extrageri 11896-11979: 15 apariții Extrageri 11980-12062: 19 apariții Extrageri 12063-12146: 17 apariții Extrageri 12147-12230: 17 apariții Extrageri 12231-12314: 29 apariții Extrageri 12315-12397: 19 apariții Extrageri 12398-12481: 25 apariții Extrageri 12482-12565: 23 apariții Extrageri 12566-12649: 18 apariții Extrageri 12650-12733: 24 apariții Extrageri 12734-12816: 25 apariții Extrageri 12817-12900: 24 apariții Extrageri 12901-12984: 25 apariții Extrageri 12985-13068: 28 apariții Extrageri 13069-13151: 25 apariții Extrageri 13152-13235: 24 apariții Extrageri 13236-13319: 20 apariții Extrageri 13320-13403: 21 apariții Extrageri 13404-13486: 16 apariții Extrageri 13487-13570: 19 apariții Extrageri 13571-13654: 18 apariții Extrageri 13655-13738: 19 apariții Extrageri 13739-13822: 18 apariții Extrageri 13823-13905: 14 apariții Extrageri 13906-13989: 23 apariții Extrageri 13990-14073: 19 apariții Extrageri 14074-14157: 23 apariții Extrageri 14158-14240: 27 apariții Extrageri 14241-14324: 19 apariții Extrageri 14325-14408: 23 apariții Extrageri 14409-14492: 14 apariții Extrageri 14493-14575: 16 apariții Extrageri 14576-14659: 14 apariții Extrageri 14660-14743: 19 apariții Extrageri 14744-14827: 13 apariții Extrageri 14828-14911: 16 apariții Extrageri 14912-14994: 24 apariții Extrageri 14995-15078: 15 apariții Extrageri 15079-15162: 20 apariții Extrageri 15163-15246: 26 apariții Extrageri 15247-15329: 20 apariții Extrageri 15330-15413: 16 apariții Extrageri 15414-15497: 24 apariții Extrageri 15498-15581: 20 apariții Extrageri 15582-15664: 18 apariții Extrageri 15665-15748: 21 apariții Extrageri 15749-15832: 31 apariții Extrageri 15833-15916: 18 apariții Extrageri 15917-16000: 21 apariții Extrageri 16001-16083: 18 apariții Extrageri 16084-16167: 26 apariții Extrageri 16168-16251: 22 apariții Extrageri 16252-16335: 24 apariții Extrageri 16336-16418: 27 apariții Extrageri 16419-16502: 17 apariții Extrageri 16503-16586: 23 apariții Extrageri 16587-16670: 24 apariții Extrageri 16671-16754: 18 apariții 0 4189 8377 12566 16754 mean=21.2/bin max=33 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 (21.2 apariții/bin).
Combinația are 4,243 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):
[11, 13, 17, 18, 20, 21, 23, 29, 35, 43, 45, 52, 56, 62, 64, 66, 67, 72, 75, 77, 80, 81, 89, 100, 104, 107, 114, 126, 127, 128, 129, 130, 131, 134, 135, 136, 139, 148, 151, 157, 162, 163, 168, 169, 172, 180, 184, 191, 197, 199, 203, 205, 206, 211, 214, 224, 232, 234, 236, 239, 241, 243, 247, 248, 256, 261, 265, 266, 268, 271, 274, 275, 276, 277, 281, 285, 286, 287, 292, 293, 294, 297, 300, 305, 314, 318, 322, 325, 328, 332, 336, 338, 352, 354, 359, 365, 368, 375, 376, 377, 386, 388, 395, 396, 399, 407, 414, 419, 423, 430, 434, 436, 442, 443, 444, 449, 452, 454, 455, 456, 459, 467, 471, 478, 484, 487, 488, 490, 493, 494, 498, 501, 504, 508, 509, 510, 534, 537, 544, 548, 554, 562, 563, 565, 568, 574, 583, 585, 588, 596, 602, 621, 627, 629, 638, 641, 645, 647, 648, 649, 651, 657, 660, 661, 667, 668, 669, 670, 672, 674, 679, 681, 683, 685, 686, 687, 689, 690, 691, 698, 701, 711, 723, 726, 727, 735, 752, 758, 760, 763, 764, 765, 770, 771, 783, 785, 789, 790, 799, 803, 813, 816, 820, 822, 825, 826, 827, 830, 832, 834, 836, 837, 842, 848, 859, 865, 868, 871, 880, 883, 885, 891, 896, 900, 903, 904, 906, 912, 917, 918, 919, 920, 921, 922, 926, 929, 938, 939, 942, 951, 956, 962, 969, 972, 978, 980, 982, 983, 984, 988, 991, 1008, 1015, 1018, 1022, 1026, 1036, 1038, 1039, 1040, 1046, 1047, 1052, 1057, 1059, 1060, 1067, 1069, 1071, 1077, 1082, 1083, 1090, 1091, 1093, 1099, 1106, 1108, 1109, 1114, 1115, 1121, 1123, 1125, 1131, 1133, 1134, 1143, 1146, 1148, 1149, 1155, 1157, 1158, 1165, 1168, 1171, 1172, 1177, 1180, 1183, 1187, 1193, 1196, 1197, 1198, 1201, 1203, 1209, 1212, 1213, 1215, 1220, 1225, 1227, 1235, 1239, 1243, 1244, 1254, 1255, 1258, 1259, 1264, 1268, 1270, 1271, 1274, 1275, 1277, 1278, 1285, 1288, 1308, 1313, 1318, 1323, 1344, 1347, 1357, 1359, 1364, 1369, 1370, 1371, 1373, 1375, 1379, 1380, 1382, 1383, 1391, 1399, 1401, 1406, 1407, 1411, 1412, 1414, 1418, 1425, 1427, 1432, 1436, 1440, 1455, 1456, 1460, 1463, 1470, 1473, 1476, 1481, 1483, 1485, 1486, 1491, 1492, 1494, 1495, 1502, 1505, 1512, 1513, 1516, 1518, 1522, 1526, 1532, 1533, 1536, 1552, 1563, 1570, 1572, 1573, 1578, 1579, 1580, 1586, 1595, 1598, 1609, 1618, 1619, 1627, 1628, 1631, 1635, 1640, 1641, 1646, 1648, 1649, 1654, 1659, 1661, 1669, 1670, 1678, 1681, 1685, 1693, 1697, 1698, 1700, 1707, 1710, 1712, 1719, 1720, 1722, 1726, 1727, 1729, 1731, 1732, 1733, 1742, 1744, 1764, 1770, 1771, 1772, 1775, 1779, 1781, 1788, 1790, 1793, 1798, 1802, 1806, 1809, 1810, 1811, 1813, 1816, 1823, 1828, 1829, 1834, 1840, 1842, 1846, 1848, 1853, 1855, 1860, 1861, 1862, 1869, 1872, 1873, 1884, 1890, 1893, 1896, 1898, 1899, 1900, 1906, 1907, 1908, 1909, 1910, 1914, 1915, 1920, 1921, 1923, 1924, 1933, 1940, 1941, 1942, 1948, 1952, 1954, 1956, 1962, 1963, 1964, 1965, 1969, 1974, 1979, 1992, 1993, 1994, 1998, 2000, 2008, 2014, 2015, 2016, 2017, 2022, 2026, 2029, 2030, 2032, 2033, 2042, 2043, 2048, 2050, 2056, 2076, 2080, 2081, 2084, 2094, 2100, 2101, 2103, 2113, 2114, 2116, 2121, 2122, 2123, 2126, 2128, 2132, 2134, 2135, 2137, 2138, 2146, 2151, 2159, 2161, 2162, 2164, 2166, 2167, 2169, 2174, 2176, 2180, 2181, 2184, 2187, 2196, 2201, 2202, 2207, 2208, 2209, 2211, 2216, 2223, 2224, 2225, 2229, 2231, 2245, 2248, 2250, 2251, 2254, 2258, 2263, 2267, 2275, 2280, 2282, 2285, 2293, 2296, 2300, 2303, 2305, 2307, 2308, 2309, 2312, 2316, 2319, 2320, 2322, 2327, 2330, 2333, 2337, 2341, 2343, 2350, 2351, 2352, 2353, 2356, 2365, 2378, 2381, 2384, 2386, 2394, 2399, 2402, 2404, 2406, 2414, 2415, 2420, 2423, 2429, 2432, 2436, 2441, 2450, 2458, 2464, 2465, 2466, 2467, 2468, 2471, 2472, 2473, 2481, 2485, 2493, 2496, 2500, 2504, 2506, 2510, 2511, 2515, 2524, 2526, 2529, 2530, 2535, 2543, 2545, 2546, 2558, 2559, 2560, 2569, 2573, 2574, 2577, 2578, 2583, 2592, 2603, 2604, 2605, 2606, 2607, 2610, 2614, 2615, 2620, 2625, 2643, 2649, 2651, 2652, 2653, 2669, 2670, 2674, 2686, 2691, 2697, 2701, 2705, 2708, 2711, 2713, 2716, 2717, 2718, 2720, 2724, 2726, 2727, 2737, 2738, 2741, 2748, 2750, 2756, 2758, 2760, 2761, 2769, 2772, 2786, 2791, 2794, 2803, 2804, 2817, 2822, 2823, 2832, 2844, 2850, 2852, 2861, 2866, 2870, 2876, 2881, 2890, 2893, 2894, 2897, 2898, 2906, 2914, 2919, 2920, 2921, 2927, 2931, 2939, 2945, 2946, 2949, 2951, 2955, 2957, 2962, 2969, 2971, 2980, 2988, 2994, 2997, 2998, 3000, 3002, 3003, 3012, 3018, 3021, 3024, 3031, 3038, 3048, 3049, 3059, 3060, 3070, 3072, 3076, 3079, 3082, 3084, 3088, 3089, 3094, 3103, 3108, 3112, 3113, 3114, 3118, 3121, 3129, 3130, 3133, 3134, 3137, 3141, 3146, 3149, 3150, 3151, 3154, 3155, 3157, 3158, 3159, 3165, 3166, 3169, 3173, 3176, 3177, 3181, 3182, 3187, 3192, 3193, 3194, 3196, 3207, 3213, 3214, 3223, 3230, 3231, 3237, 3241, 3247, 3251, 3262, 3263, 3266, 3267, 3270, 3275, 3278, 3279, 3284, 3285, 3290, 3295, 3296, 3298, 3299, 3300, 3306, 3309, 3316, 3325, 3339, 3351, 3353, 3354, 3356, 3359, 3362, 3368, 3370, 3371, 3372, 3373, 3379, 3383, 3384, 3392, 3397, 3409, 3412, 3413, 3414, 3415, 3426, 3429, 3430, 3436, 3439, 3444, 3445, 3446, 3457, 3458, 3459, 3465, 3474, 3476, 3480, 3482, 3483, 3486, 3487, 3488, 3506, 3514, 3517, 3521, 3524, 3526, 3539, 3540, 3543, 3548, 3550, 3553, 3554, 3555, 3559, 3560, 3563, 3566, 3570, 3574, 3577, 3579, 3583, 3585, 3592, 3598, 3599, 3600, 3603, 3606, 3610, 3616, 3626, 3630, 3632, 3642, 3646, 3647, 3649, 3650, 3651, 3658, 3661, 3662, 3665, 3668, 3670, 3676, 3677, 3685, 3690, 3695, 3697, 3700, 3708, 3714, 3722, 3726, 3728, 3731, 3734, 3743, 3744, 3748, 3749, 3750, 3770, 3773, 3774, 3776, 3779, 3781, 3783, 3786, 3793, 3794, 3796, 3810, 3817, 3819, 3820, 3821, 3825, 3827, 3830, 3837, 3840, 3842, 3844, 3850, 3852, 3855, 3859, 3863, 3866, 3871, 3873, 3877, 3879, 3881, 3885, 3886, 3887, 3890, 3893, 3895, 3904, 3910, 3918, 3919, 3920, 3921, 3926, 3927, 3931, 3936, 3943, 3948, 3953, 3955, 3956, 3961, 3964, 3965, 3966, 3967, 3971, 3974, 3978, 3979, 3981, 3983, 3991, 4002, 4003, 4005, 4011, 4012, 4016, 4017, 4019, 4021, 4032, 4036, 4043, 4048, 4053, 4054, 4057, 4058, 4067, 4069, 4071, 4076, 4077, 4079, 4087, 4094, 4096, 4099, 4100, 4102, 4104, 4108, 4110, 4112, 4116, 4118, 4121, 4131, 4133, 4135, 4139, 4146, 4147, 4148, 4152, 4155, 4158, 4166, 4168, 4169, 4170, 4171, 4175, 4176, 4183, 4187, 4191, 4192, 4196, 4208, 4214, 4216, 4218, 4221, 4222, 4227, 4230, 4234, 4242, 4252, 4257, 4262, 4263, 4269, 4273, 4274, 4280, 4281, 4284, 4285, 4288, 4289, 4300, 4307, 4308, 4310, 4314, 4319, 4322, 4340, 4347, 4348, 4352, 4353, 4356, 4360, 4365, 4366, 4369, 4373, 4378, 4381, 4393, 4402, 4404, 4407, 4408, 4409, 4414, 4419, 4421, 4429, 4430, 4431, 4436, 4439, 4440, 4449, 4456, 4457, 4459, 4460, 4461, 4469, 4470, 4471, 4473, 4475, 4476, 4477, 4479, 4480, 4482, 4484, 4489, 4492, 4495, 4496, 4497, 4500, 4501, 4503, 4505, 4508, 4509, 4519, 4523, 4533, 4536, 4539, 4543, 4545, 4546, 4553, 4556, 4557, 4560, 4562, 4565, 4573, 4578, 4582, 4584, 4585, 4588, 4591, 4597, 4598, 4599, 4607, 4608, 4615, 4625, 4628, 4630, 4631, 4633, 4636, 4639, 4642, 4645, 4657, 4660, 4665, 4667, 4679, 4683, 4687, 4689, 4694, 4696, 4697, 4703, 4704, 4705, 4707, 4710, 4711, 4714, 4718, 4719, 4725, 4728, 4732, 4733, 4734, 4737, 4741, 4746, 4750, 4760, 4769, 4778, 4788, 4789, 4790, 4793, 4797, 4799, 4804, 4808, 4812, 4814, 4824, 4827, 4829, 4834, 4835, 4838, 4841, 4850, 4852, 4862, 4864, 4865, 4866, 4871, 4875, 4876, 4878, 4881, 4884, 4886, 4891, 4892, 4893, 4899, 4902, 4903, 4904, 4909, 4910, 4913, 4916, 4917, 4920, 4921, 4922, 4923, 4927, 4928, 4929, 4930, 4936, 4947, 4955, 4958, 4959, 4967, 4969, 4970, 4972, 4977, 4984, 4985, 4986, 4995, 5001, 5003, 5005, 5009, 5010, 5013, 5020, 5021, 5022, 5023, 5032, 5033, 5034, 5039, 5049, 5056, 5060, 5062, 5067, 5072, 5078, 5087, 5097, 5102, 5103, 5106, 5111, 5114, 5115, 5118, 5119, 5122, 5125, 5126, 5133, 5140, 5141, 5145, 5149, 5157, 5159, 5163, 5169, 5177, 5183, 5185, 5188, 5190, 5191, 5192, 5195, 5200, 5211, 5221, 5223, 5228, 5233, 5234, 5236, 5237, 5239, 5240, 5243, 5245, 5259, 5267, 5270, 5279, 5285, 5286, 5288, 5289, 5290, 5295, 5300, 5302, 5303, 5309, 5310, 5315, 5316, 5318, 5319, 5322, 5323, 5324, 5347, 5348, 5351, 5355, 5356, 5358, 5363, 5365, 5368, 5369, 5371, 5382, 5386, 5393, 5394, 5398, 5400, 5401, 5403, 5408, 5416, 5418, 5419, 5420, 5425, 5446, 5448, 5453, 5456, 5459, 5461, 5464, 5471, 5475, 5480, 5481, 5482, 5487, 5495, 5496, 5506, 5510, 5516, 5522, 5524, 5525, 5532, 5538, 5541, 5542, 5543, 5547, 5549, 5551, 5554, 5559, 5561, 5564, 5565, 5566, 5567, 5572, 5575, 5576, 5578, 5584, 5600, 5601, 5607, 5609, 5612, 5615, 5616, 5618, 5620, 5625, 5627, 5631, 5635, 5639, 5642, 5643, 5645, 5648, 5658, 5659, 5661, 5664, 5670, 5672, 5674, 5676, 5677, 5683, 5684, 5686, 5689, 5708, 5713, 5716, 5722, 5723, 5727, 5728, 5738, 5744, 5752, 5753, 5758, 5762, 5769, 5772, 5773, 5787, 5791, 5794, 5796, 5798, 5802, 5803, 5806, 5809, 5817, 5819, 5824, 5825, 5829, 5835, 5839, 5844, 5846, 5855, 5858, 5866, 5867, 5868, 5869, 5871, 5875, 5882, 5884, 5893, 5899, 5900, 5902, 5903, 5916, 5924, 5929, 5931, 5935, 5936, 5937, 5947, 5952, 5954, 5958, 5960, 5961, 5969, 5974, 5976, 5977, 5981, 5989, 5991, 5992, 6002, 6014, 6015, 6016, 6023, 6024, 6028, 6032, 6034, 6043, 6047, 6051, 6052, 6053, 6059, 6061, 6068, 6069, 6077, 6078, 6081, 6082, 6086, 6087, 6090, 6095, 6097, 6098, 6100, 6102, 6108, 6110, 6114, 6123, 6132, 6134, 6142, 6151, 6155, 6159, 6160, 6162, 6164, 6168, 6170, 6175, 6176, 6178, 6184, 6187, 6191, 6192, 6193, 6208, 6211, 6214, 6217, 6223, 6229, 6241, 6245, 6246, 6264, 6265, 6267, 6268, 6269, 6270, 6286, 6287, 6290, 6297, 6300, 6304, 6305, 6309, 6310, 6313, 6318, 6319, 6323, 6327, 6331, 6332, 6333, 6337, 6344, 6347, 6354, 6364, 6375, 6376, 6379, 6382, 6383, 6384, 6385, 6390, 6391, 6394, 6395, 6401, 6402, 6403, 6409, 6411, 6417, 6424, 6428, 6430, 6435, 6441, 6446, 6449, 6450, 6451, 6453, 6458, 6459, 6460, 6463, 6464, 6465, 6467, 6475, 6476, 6477, 6479, 6482, 6484, 6485, 6488, 6490, 6493, 6502, 6505, 6508, 6511, 6515, 6516, 6517, 6518, 6520, 6522, 6523, 6524, 6528, 6534, 6535, 6537, 6539, 6550, 6551, 6556, 6558, 6564, 6565, 6568, 6570, 6577, 6578, 6580, 6587, 6591, 6592, 6593, 6594, 6596, 6597, 6607, 6616, 6617, 6619, 6624, 6628, 6633, 6634, 6636, 6655, 6658, 6663, 6664, 6667, 6669, 6678, 6679, 6680, 6681, 6685, 6687, 6688, 6692, 6694, 6698, 6702, 6709, 6716, 6719, 6724, 6727, 6729, 6733, 6739, 6742, 6743, 6744, 6751, 6762, 6764, 6769, 6778, 6780, 6783, 6784, 6785, 6786, 6791, 6796, 6802, 6806, 6813, 6815, 6817, 6820, 6822, 6824, 6835, 6836, 6841, 6842, 6843, 6846, 6856, 6857, 6860, 6863, 6869, 6875, 6878, 6882, 6886, 6895, 6896, 6901, 6902, 6904, 6906, 6908, 6915, 6921, 6922, 6925, 6941, 6948, 6952, 6960, 6961, 6964, 6967, 6969, 6975, 6979, 6983, 6988, 6993, 7004, 7006, 7009, 7013, 7014, 7020, 7022, 7024, 7025, 7034, 7039, 7040, 7045, 7047, 7052, 7056, 7057, 7061, 7066, 7073, 7075, 7079, 7086, 7087, 7088, 7089, 7090, 7095, 7098, 7105, 7114, 7116, 7117, 7119, 7121, 7124, 7126, 7137, 7139, 7142, 7143, 7144, 7168, 7172, 7175, 7182, 7192, 7196, 7201, 7207, 7213, 7215, 7216, 7217, 7219, 7221, 7222, 7230, 7233, 7234, 7235, 7236, 7237, 7238, 7242, 7246, 7247, 7249, 7252, 7255, 7256, 7262, 7264, 7267, 7268, 7272, 7277, 7278, 7279, 7303, 7312, 7315, 7322, 7326, 7327, 7328, 7329, 7330, 7331, 7332, 7342, 7345, 7346, 7351, 7355, 7357, 7362, 7367, 7369, 7373, 7374, 7375, 7381, 7394, 7395, 7396, 7397, 7403, 7413, 7417, 7422, 7424, 7425, 7437, 7438, 7444, 7445, 7450, 7457, 7459, 7460, 7467, 7470, 7473, 7474, 7476, 7481, 7482, 7484, 7485, 7489, 7494, 7497, 7502, 7505, 7508, 7510, 7511, 7512, 7518, 7521, 7523, 7530, 7534, 7535, 7536, 7542, 7545, 7557, 7562, 7564, 7570, 7574, 7579, 7585, 7586, 7590, 7599, 7600, 7605, 7607, 7609, 7612, 7615, 7616, 7622, 7623, 7625, 7634, 7638, 7639, 7640, 7643, 7644, 7645, 7648, 7654, 7655, 7661, 7662, 7672, 7682, 7683, 7686, 7693, 7694, 7700, 7701, 7707, 7708, 7709, 7714, 7720, 7722, 7726, 7729, 7731, 7733, 7735, 7739, 7741, 7742, 7743, 7747, 7748, 7749, 7754, 7769, 7777, 7790, 7792, 7797, 7798, 7801, 7806, 7807, 7813, 7815, 7819, 7828, 7830, 7837, 7838, 7839, 7843, 7845, 7847, 7848, 7853, 7856, 7857, 7870, 7874, 7875, 7887, 7888, 7889, 7890, 7893, 7895, 7897, 7899, 7900, 7902, 7915, 7917, 7918, 7920, 7922, 7924, 7927, 7928, 7929, 7937, 7940, 7946, 7947, 7951, 7954, 7955, 7957, 7961, 7963, 7964, 7965, 7967, 7970, 7977, 7979, 7980, 7984, 7985, 7993, 7999, 8002, 8009, 8012, 8014, 8028, 8040, 8043, 8046, 8056, 8057, 8060, 8061, 8062, 8063, 8069, 8070, 8071, 8075, 8079, 8081, 8082, 8083, 8086, 8090, 8095, 8100, 8105, 8109, 8115, 8117, 8139, 8141, 8142, 8143, 8144, 8150, 8151, 8153, 8155, 8156, 8158, 8159, 8164, 8165, 8167, 8168, 8174, 8182, 8185, 8186, 8189, 8191, 8196, 8197, 8198, 8201, 8214, 8235, 8236, 8237, 8238, 8243, 8250, 8254, 8258, 8276, 8277, 8279, 8285, 8287, 8289, 8292, 8298, 8299, 8304, 8305, 8311, 8313, 8314, 8320, 8321, 8323, 8324, 8328, 8340, 8346, 8348, 8352, 8353, 8355, 8358, 8365, 8372, 8379, 8380, 8381, 8382, 8384, 8388, 8391, 8393, 8394, 8395, 8396, 8397, 8398, 8399, 8400, 8402, 8430, 8440, 8441, 8444, 8445, 8450, 8451, 8457, 8460, 8464, 8470, 8476, 8478, 8484, 8490, 8494, 8497, 8498, 8499, 8503, 8511, 8513, 8514, 8515, 8516, 8517, 8519, 8521, 8523, 8526, 8529, 8533, 8534, 8536, 8537, 8540, 8549, 8550, 8553, 8567, 8571, 8574, 8581, 8584, 8587, 8591, 8593, 8595, 8598, 8609, 8617, 8620, 8624, 8627, 8630, 8635, 8644, 8648, 8649, 8655, 8673, 8676, 8678, 8684, 8686, 8687, 8690, 8707, 8718, 8721, 8726, 8730, 8731, 8732, 8733, 8740, 8744, 8749, 8751, 8752, 8758, 8764, 8766, 8770, 8771, 8772, 8773, 8774, 8775, 8777, 8779, 8783, 8785, 8793, 8807, 8808, 8812, 8816, 8820, 8824, 8835, 8842, 8846, 8850, 8851, 8856, 8858, 8865, 8868, 8870, 8873, 8882, 8895, 8896, 8897, 8898, 8910, 8911, 8924, 8933, 8934, 8942, 8948, 8963, 8964, 8969, 8972, 8973, 8980, 8983, 8988, 8990, 8997, 9000, 9001, 9004, 9009, 9012, 9014, 9015, 9017, 9019, 9020, 9021, 9028, 9029, 9032, 9034, 9035, 9042, 9049, 9051, 9053, 9054, 9062, 9065, 9069, 9070, 9071, 9072, 9076, 9081, 9085, 9087, 9099, 9104, 9108, 9109, 9113, 9117, 9123, 9129, 9136, 9141, 9145, 9147, 9148, 9152, 9164, 9170, 9171, 9179, 9180, 9181, 9182, 9187, 9190, 9193, 9200, 9201, 9202, 9216, 9219, 9226, 9233, 9238, 9243, 9245, 9247, 9249, 9252, 9257, 9259, 9264, 9269, 9275, 9284, 9285, 9286, 9287, 9289, 9298, 9303, 9305, 9308, 9309, 9310, 9311, 9324, 9325, 9326, 9330, 9333, 9341, 9343, 9344, 9345, 9349, 9351, 9355, 9358, 9359, 9362, 9365, 9373, 9380, 9382, 9384, 9389, 9395, 9398, 9399, 9400, 9401, 9402, 9407, 9414, 9416, 9420, 9421, 9423, 9441, 9442, 9443, 9450, 9451, 9452, 9455, 9457, 9458, 9479, 9480, 9482, 9483, 9485, 9490, 9495, 9497, 9501, 9504, 9507, 9508, 9510, 9512, 9515, 9516, 9517, 9519, 9527, 9535, 9536, 9543, 9544, 9548, 9554, 9559, 9560, 9561, 9565, 9570, 9575, 9577, 9585, 9586, 9587, 9592, 9593, 9595, 9596, 9597, 9598, 9603, 9604, 9605, 9609, 9616, 9622, 9623, 9625, 9626, 9630, 9632, 9641, 9643, 9651, 9653, 9655, 9658, 9660, 9661, 9663, 9665, 9679, 9687, 9693, 9701, 9712, 9717, 9722, 9725, 9729, 9738, 9740, 9754, 9756, 9758, 9770, 9772, 9775, 9778, 9782, 9783, 9784, 9785, 9786, 9787, 9788, 9793, 9797, 9801, 9806, 9807, 9811, 9817, 9822, 9825, 9827, 9829, 9834, 9837, 9838, 9843, 9846, 9848, 9859, 9861, 9862, 9865, 9870, 9871, 9873, 9882, 9898, 9905, 9909, 9914, 9923, 9925, 9930, 9932, 9937, 9941, 9948, 9949, 9958, 9960, 9970, 9972, 9975, 9992, 9995, 9996, 9997, 9998, 10002, 10013, 10016, 10027, 10031, 10033, 10035, 10052, 10054, 10056, 10058, 10059, 10060, 10072, 10073, 10076, 10080, 10082, 10094, 10106, 10109, 10112, 10113, 10123, 10135, 10148, 10154, 10161, 10171, 10173, 10175, 10177, 10178, 10181, 10182, 10193, 10197, 10199, 10205, 10206, 10217, 10218, 10223, 10227, 10230, 10232, 10234, 10235, 10238, 10241, 10243, 10252, 10253, 10258, 10259, 10264, 10266, 10269, 10270, 10273, 10282, 10285, 10292, 10296, 10299, 10309, 10312, 10327, 10329, 10330, 10334, 10339, 10344, 10346, 10352, 10356, 10358, 10363, 10365, 10377, 10380, 10387, 10392, 10400, 10403, 10416, 10417, 10420, 10422, 10424, 10425, 10428, 10429, 10430, 10438, 10442, 10443, 10445, 10446, 10449, 10453, 10455, 10466, 10469, 10471, 10473, 10474, 10483, 10485, 10486, 10487, 10493, 10494, 10496, 10499, 10504, 10506, 10530, 10531, 10540, 10543, 10561, 10563, 10565, 10574, 10576, 10579, 10580, 10586, 10588, 10589, 10599, 10600, 10607, 10610, 10614, 10618, 10627, 10629, 10634, 10635, 10637, 10639, 10641, 10642, 10645, 10646, 10650, 10652, 10656, 10659, 10660, 10665, 10671, 10676, 10677, 10686, 10689, 10692, 10693, 10696, 10697, 10698, 10699, 10702, 10703, 10707, 10708, 10711, 10712, 10717, 10718, 10732, 10746, 10749, 10757, 10763, 10765, 10766, 10768, 10772, 10779, 10780, 10796, 10799, 10810, 10826, 10827, 10832, 10833, 10839, 10845, 10847, 10857, 10859, 10863, 10867, 10869, 10870, 10876, 10879, 10884, 10885, 10886, 10889, 10892, 10894, 10915, 10917, 10925, 10926, 10927, 10934, 10937, 10939, 10943, 10948, 10955, 10965, 10970, 10974, 10975, 10979, 10981, 10982, 10983, 10998, 11002, 11006, 11012, 11019, 11021, 11025, 11026, 11028, 11033, 11034, 11037, 11038, 11041, 11042, 11043, 11044, 11045, 11046, 11053, 11061, 11064, 11065, 11068, 11073, 11089, 11092, 11094, 11098, 11100, 11101, 11108, 11110, 11111, 11116, 11118, 11121, 11127, 11128, 11134, 11135, 11138, 11141, 11142, 11153, 11154, 11157, 11158, 11161, 11169, 11171, 11181, 11185, 11186, 11187, 11193, 11194, 11208, 11220, 11222, 11224, 11225, 11230, 11231, 11238, 11241, 11242, 11248, 11261, 11265, 11272, 11284, 11286, 11291, 11300, 11301, 11303, 11304, 11306, 11310, 11314, 11316, 11322, 11323, 11325, 11326, 11333, 11338, 11341, 11345, 11346, 11347, 11348, 11350, 11352, 11354, 11360, 11361, 11364, 11365, 11369, 11372, 11384, 11392, 11393, 11407, 11408, 11411, 11412, 11413, 11414, 11416, 11420, 11421, 11428, 11430, 11431, 11433, 11434, 11436, 11438, 11439, 11440, 11441, 11450, 11460, 11463, 11465, 11467, 11474, 11475, 11478, 11480, 11486, 11500, 11503, 11509, 11518, 11519, 11527, 11533, 11535, 11542, 11552, 11555, 11558, 11559, 11568, 11574, 11575, 11581, 11585, 11586, 11588, 11591, 11592, 11596, 11603, 11609, 11629, 11630, 11637, 11638, 11648, 11649, 11655, 11659, 11662, 11665, 11671, 11674, 11676, 11683, 11685, 11691, 11692, 11693, 11695, 11696, 11699, 11708, 11710, 11713, 11714, 11715, 11721, 11722, 11725, 11731, 11736, 11744, 11745, 11752, 11756, 11760, 11767, 11770, 11772, 11774, 11780, 11785, 11787, 11789, 11794, 11796, 11797, 11806, 11807, 11824, 11825, 11826, 11833, 11840, 11844, 11845, 11846, 11851, 11865, 11868, 11871, 11872, 11874, 11882, 11884, 11889, 11896, 11897, 11899, 11903, 11907, 11916, 11917, 11921, 11924, 11927, 11931, 11947, 11967, 11968, 11970, 11971, 11984, 11992, 11996, 12002, 12010, 12012, 12014, 12016, 12017, 12026, 12039, 12040, 12045, 12046, 12047, 12055, 12059, 12061, 12062, 12064, 12072, 12073, 12075, 12080, 12085, 12087, 12089, 12093, 12095, 12096, 12102, 12117, 12126, 12129, 12142, 12147, 12149, 12155, 12162, 12171, 12177, 12179, 12184, 12199, 12200, 12206, 12209, 12219, 12220, 12225, 12228, 12229, 12231, 12233, 12234, 12235, 12237, 12238, 12242, 12243, 12254, 12259, 12261, 12264, 12265, 12269, 12273, 12274, 12277, 12278, 12280, 12287, 12288, 12292, 12293, 12301, 12302, 12304, 12306, 12308, 12313, 12315, 12322, 12323, 12324, 12326, 12327, 12335, 12338, 12341, 12350, 12352, 12354, 12357, 12359, 12360, 12362, 12364, 12368, 12372, 12386, 12400, 12401, 12402, 12404, 12412, 12413, 12415, 12416, 12421, 12424, 12426, 12428, 12429, 12433, 12435, 12438, 12440, 12445, 12448, 12452, 12454, 12460, 12467, 12474, 12481, 12491, 12493, 12497, 12500, 12504, 12506, 12513, 12514, 12515, 12517, 12529, 12536, 12539, 12544, 12546, 12547, 12548, 12553, 12554, 12557, 12558, 12559, 12563, 12570, 12574, 12580, 12582, 12583, 12592, 12606, 12612, 12615, 12632, 12634, 12636, 12638, 12643, 12644, 12645, 12648, 12650, 12660, 12664, 12665, 12666, 12679, 12686, 12688, 12690, 12696, 12698, 12701, 12702, 12708, 12709, 12713, 12714, 12716, 12719, 12720, 12721, 12722, 12723, 12726, 12734, 12740, 12748, 12751, 12754, 12755, 12756, 12758, 12759, 12762, 12767, 12770, 12777, 12783, 12787, 12789, 12790, 12794, 12797, 12799, 12800, 12803, 12805, 12807, 12815, 12817, 12819, 12821, 12826, 12829, 12833, 12837, 12843, 12844, 12848, 12855, 12864, 12865, 12866, 12870, 12875, 12876, 12883, 12889, 12892, 12893, 12894, 12897, 12898, 12899, 12913, 12916, 12927, 12934, 12936, 12938, 12941, 12949, 12950, 12952, 12953, 12954, 12957, 12958, 12959, 12960, 12961, 12962, 12967, 12969, 12971, 12977, 12980, 12982, 12983, 12990, 12992, 12993, 12994, 13002, 13003, 13005, 13007, 13012, 13019, 13021, 13028, 13029, 13034, 13036, 13046, 13047, 13048, 13050, 13051, 13052, 13054, 13059, 13061, 13062, 13065, 13068, 13069, 13070, 13074, 13077, 13078, 13083, 13085, 13090, 13094, 13098, 13099, 13102, 13103, 13112, 13114, 13118, 13123, 13128, 13129, 13131, 13135, 13138, 13141, 13146, 13150, 13152, 13153, 13155, 13156, 13159, 13166, 13172, 13174, 13176, 13179, 13182, 13186, 13190, 13191, 13192, 13196, 13198, 13199, 13205, 13206, 13208, 13209, 13223, 13229, 13234, 13240, 13245, 13247, 13253, 13255, 13256, 13261, 13262, 13264, 13272, 13289, 13293, 13297, 13301, 13303, 13306, 13312, 13314, 13315, 13319, 13322, 13331, 13332, 13337, 13343, 13348, 13349, 13352, 13355, 13359, 13367, 13368, 13372, 13373, 13376, 13384, 13389, 13397, 13401, 13403, 13404, 13424, 13431, 13432, 13433, 13435, 13436, 13440, 13443, 13446, 13449, 13454, 13458, 13465, 13469, 13476, 13487, 13489, 13492, 13493, 13497, 13499, 13500, 13506, 13514, 13515, 13519, 13520, 13528, 13533, 13537, 13547, 13548, 13549, 13554, 13558, 13573, 13575, 13578, 13580, 13582, 13583, 13588, 13596, 13597, 13600, 13609, 13617, 13638, 13640, 13643, 13644, 13647, 13648, 13668, 13671, 13681, 13687, 13691, 13692, 13696, 13703, 13706, 13708, 13710, 13711, 13712, 13716, 13718, 13722, 13733, 13736, 13738, 13747, 13749, 13750, 13751, 13752, 13759, 13766, 13769, 13773, 13774, 13777, 13793, 13795, 13796, 13807, 13810, 13819, 13823, 13825, 13829, 13832, 13833, 13868, 13872, 13875, 13883, 13892, 13893, 13894, 13895, 13901, 13905, 13907, 13914, 13921, 13925, 13926, 13928, 13931, 13932, 13937, 13939, 13941, 13943, 13949, 13952, 13958, 13961, 13968, 13972, 13973, 13976, 13983, 13984, 13986, 13999, 14003, 14008, 14018, 14021, 14024, 14034, 14044, 14047, 14052, 14056, 14057, 14058, 14059, 14061, 14069, 14070, 14071, 14073, 14088, 14091, 14092, 14098, 14100, 14103, 14105, 14106, 14108, 14120, 14122, 14124, 14125, 14126, 14128, 14136, 14137, 14139, 14140, 14143, 14152, 14157, 14158, 14159, 14160, 14161, 14163, 14169, 14175, 14180, 14181, 14182, 14183, 14184, 14186, 14187, 14190, 14191, 14192, 14194, 14195, 14197, 14198, 14219, 14224, 14225, 14229, 14232, 14234, 14240, 14242, 14245, 14247, 14251, 14254, 14256, 14262, 14281, 14287, 14295, 14302, 14307, 14308, 14310, 14313, 14318, 14320, 14321, 14323, 14331, 14332, 14338, 14347, 14350, 14356, 14360, 14363, 14364, 14367, 14368, 14371, 14373, 14375, 14377, 14381, 14385, 14390, 14399, 14404, 14405, 14406, 14408, 14414, 14424, 14425, 14429, 14430, 14433, 14435, 14459, 14466, 14479, 14480, 14487, 14491, 14492, 14499, 14509, 14511, 14516, 14525, 14529, 14535, 14537, 14543, 14553, 14557, 14560, 14561, 14562, 14570, 14572, 14582, 14585, 14598, 14601, 14604, 14606, 14607, 14609, 14617, 14623, 14634, 14635, 14655, 14660, 14663, 14665, 14668, 14675, 14677, 14681, 14685, 14689, 14692, 14697, 14700, 14715, 14721, 14724, 14726, 14730, 14734, 14738, 14742, 14752, 14755, 14760, 14777, 14779, 14782, 14788, 14795, 14798, 14801, 14811, 14817, 14823, 14832, 14839, 14845, 14846, 14848, 14857, 14859, 14863, 14867, 14873, 14880, 14881, 14887, 14890, 14902, 14908, 14919, 14921, 14925, 14927, 14931, 14932, 14935, 14936, 14946, 14947, 14950, 14954, 14956, 14960, 14967, 14970, 14972, 14975, 14977, 14978, 14980, 14986, 14991, 14994, 15011, 15021, 15026, 15028, 15036, 15041, 15044, 15050, 15052, 15057, 15061, 15064, 15066, 15077, 15079, 15083, 15084, 15092, 15094, 15095, 15096, 15102, 15109, 15110, 15121, 15123, 15128, 15131, 15132, 15134, 15139, 15140, 15144, 15150, 15163, 15164, 15165, 15167, 15176, 15178, 15185, 15186, 15188, 15192, 15199, 15200, 15201, 15202, 15205, 15207, 15213, 15215, 15216, 15219, 15223, 15229, 15233, 15236, 15239, 15244, 15247, 15260, 15268, 15274, 15275, 15281, 15284, 15287, 15291, 15292, 15296, 15300, 15301, 15303, 15308, 15312, 15319, 15320, 15322, 15326, 15328, 15337, 15341, 15342, 15345, 15346, 15363, 15372, 15374, 15386, 15388, 15394, 15395, 15399, 15408, 15411, 15414, 15415, 15416, 15423, 15430, 15436, 15438, 15441, 15443, 15444, 15445, 15446, 15449, 15454, 15458, 15460, 15462, 15470, 15476, 15479, 15481, 15483, 15484, 15489, 15496, 15502, 15506, 15509, 15519, 15521, 15524, 15533, 15538, 15542, 15543, 15544, 15546, 15549, 15550, 15559, 15564, 15573, 15575, 15576, 15580, 15593, 15597, 15604, 15609, 15610, 15627, 15630, 15631, 15632, 15644, 15645, 15647, 15648, 15651, 15653, 15656, 15662, 15664, 15666, 15668, 15670, 15674, 15679, 15680, 15696, 15702, 15707, 15713, 15715, 15717, 15721, 15725, 15728, 15732, 15733, 15737, 15741, 15742, 15745, 15753, 15759, 15760, 15761, 15763, 15764, 15766, 15767, 15771, 15773, 15782, 15785, 15788, 15789, 15793, 15797, 15798, 15802, 15803, 15805, 15811, 15816, 15817, 15821, 15822, 15824, 15825, 15826, 15828, 15829, 15832, 15842, 15848, 15854, 15855, 15857, 15858, 15869, 15871, 15883, 15887, 15892, 15893, 15899, 15901, 15907, 15908, 15911, 15912, 15923, 15925, 15926, 15928, 15933, 15937, 15939, 15940, 15943, 15955, 15966, 15969, 15970, 15974, 15976, 15980, 15981, 15982, 15992, 15994, 16000, 16010, 16014, 16021, 16025, 16026, 16027, 16030, 16032, 16042, 16048, 16051, 16058, 16061, 16063, 16066, 16077, 16078, 16082, 16085, 16086, 16091, 16092, 16093, 16100, 16105, 16106, 16109, 16114, 16126, 16128, 16130, 16141, 16142, 16143, 16144, 16147, 16148, 16154, 16155, 16156, 16162, 16163, 16164, 16167, 16169, 16173, 16179, 16183, 16184, 16186, 16196, 16200, 16212, 16218, 16219, 16223, 16224, 16226, 16232, 16234, 16236, 16239, 16246, 16247, 16248, 16252, 16255, 16262, 16263, 16266, 16271, 16273, 16276, 16277, 16279, 16280, 16284, 16290, 16292, 16294, 16295, 16306, 16314, 16320, 16325, 16329, 16332, 16333, 16334, 16336, 16338, 16340, 16342, 16345, 16346, 16354, 16356, 16357, 16365, 16367, 16368, 16372, 16373, 16374, 16375, 16376, 16377, 16379, 16381, 16384, 16386, 16387, 16388, 16398, 16400, 16406, 16407, 16420, 16426, 16428, 16430, 16433, 16436, 16439, 16441, 16445, 16447, 16463, 16464, 16472, 16488, 16496, 16498, 16500, 16504, 16505, 16506, 16513, 16519, 16520, 16525, 16527, 16529, 16533, 16537, 16543, 16545, 16548, 16551, 16553, 16554, 16559, 16561, 16566, 16573, 16576, 16583, 16588, 16590, 16597, 16598, 16599, 16603, 16605, 16609, 16612, 16617, 16625, 16626, 16635, 16637, 16639, 16658, 16661, 16662, 16664, 16665, 16666, 16667, 16670, 16671, 16673, 16674, 16675, 16676, 16687, 16691, 16693, 16697, 16715, 16716, 16725, 16727, 16729, 16730, 16733, 16734, 16744, 16747]
Gap-uri:
[2, 4, 1, 2, 1, 2, 6, 6, 8, 2, 7, 4, 6, 2, 2, 1, 5, 3, 2, 3, 1, 8, 11, 4, 3, 7, 12, 1, 1, 1, 1, 1, 3, 1, 1, 3, 9, 3, 6, 5, 1, 5, 1, 3, 8, 4, 7, 6, 2, 4, 2, 1, 5, 3, 10, 8, 2, 2, 3, 2, 2, 4, 1, 8, 5, 4, 1, 2, 3, 3, 1, 1, 1, 4, 4, 1, 1, 5, 1, 1, 3, 3, 5, 9, 4, 4, 3, 3, 4, 4, 2, 14, 2, 5, 6, 3, 7, 1, 1, 9, 2, 7, 1, 3, 8, 7, 5, 4, 7, 4, 2, 6, 1, 1, 5, 3, 2, 1, 1, 3, 8, 4, 7, 6, 3, 1, 2, 3, 1, 4, 3, 3, 4, 1, 1, 24, 3, 7, 4, 6, 8, 1, 2, 3, 6, 9, 2, 3, 8, 6, 19, 6, 2, 9, 3, 4, 2, 1, 1, 2, 6, 3, 1, 6, 1, 1, 1, 2, 2, 5, 2, 2, 2, 1, 1, 2, 1, 1, 7, 3, 10, 12, 3, 1, 8, 17, 6, 2, 3, 1, 1, 5, 1, 12, 2, 4, 1, 9, 4, 10, 3, 4, 2, 3, 1, 1, 3, 2, 2, 2, 1, 5, 6, 11, 6, 3, 3, 9, 3, 2, 6, 5, 4, 3, 1, 2, 6, 5, 1, 1, 1, 1, 1, 4, 3, 9, 1, 3, 9, 5, 6, 7, 3, 6, 2, 2, 1, 1, 4, 3, 17, 7, 3, 4, 4, 10, 2, 1, 1, 6, 1, 5, 5, 2, 1, 7, 2, 2, 6, 5, 1, 7, 1, 2, 6, 7, 2, 1, 5, 1, 6, 2, 2, 6, 2, 1, 9, 3, 2, 1, 6, 2, 1, 7, 3, 3, 1, 5, 3, 3, 4, 6, 3, 1, 1, 3, 2, 6, 3, 1, 2, 5, 5, 2, 8, 4, 4, 1, 10, 1, 3, 1, 5, 4, 2, 1, 3, 1, 2, 1, 7, 3, 20, 5, 5, 5, 21, 3, 10, 2, 5, 5, 1, 1, 2, 2, 4, 1, 2, 1, 8, 8, 2, 5, 1, 4, 1, 2, 4, 7, 2, 5, 4, 4, 15, 1, 4, 3, 7, 3, 3, 5, 2, 2, 1, 5, 1, 2, 1, 7, 3, 7, 1, 3, 2, 4, 4, 6, 1, 3, 16, 11, 7, 2, 1, 5, 1, 1, 6, 9, 3, 11, 9, 1, 8, 1, 3, 4, 5, 1, 5, 2, 1, 5, 5, 2, 8, 1, 8, 3, 4, 8, 4, 1, 2, 7, 3, 2, 7, 1, 2, 4, 1, 2, 2, 1, 1, 9, 2, 20, 6, 1, 1, 3, 4, 2, 7, 2, 3, 5, 4, 4, 3, 1, 1, 2, 3, 7, 5, 1, 5, 6, 2, 4, 2, 5, 2, 5, 1, 1, 7, 3, 1, 11, 6, 3, 3, 2, 1, 1, 6, 1, 1, 1, 1, 4, 1, 5, 1, 2, 1, 9, 7, 1, 1, 6, 4, 2, 2, 6, 1, 1, 1, 4, 5, 5, 13, 1, 1, 4, 2, 8, 6, 1, 1, 1, 5, 4, 3, 1, 2, 1, 9, 1, 5, 2, 6, 20, 4, 1, 3, 10, 6, 1, 2, 10, 1, 2, 5, 1, 1, 3, 2, 4, 2, 1, 2, 1, 8, 5, 8, 2, 1, 2, 2, 1, 2, 5, 2, 4, 1, 3, 3, 9, 5, 1, 5, 1, 1, 2, 5, 7, 1, 1, 4, 2, 14, 3, 2, 1, 3, 4, 5, 4, 8, 5, 2, 3, 8, 3, 4, 3, 2, 2, 1, 1, 3, 4, 3, 1, 2, 5, 3, 3, 4, 4, 2, 7, 1, 1, 1, 3, 9, 13, 3, 3, 2, 8, 5, 3, 2, 2, 8, 1, 5, 3, 6, 3, 4, 5, 9, 8, 6, 1, 1, 1, 1, 3, 1, 1, 8, 4, 8, 3, 4, 4, 2, 4, 1, 4, 9, 2, 3, 1, 5, 8, 2, 1, 12, 1, 1, 9, 4, 1, 3, 1, 5, 9, 11, 1, 1, 1, 1, 3, 4, 1, 5, 5, 18, 6, 2, 1, 1, 16, 1, 4, 12, 5, 6, 4, 4, 3, 3, 2, 3, 1, 1, 2, 4, 2, 1, 10, 1, 3, 7, 2, 6, 2, 2, 1, 8, 3, 14, 5, 3, 9, 1, 13, 5, 1, 9, 12, 6, 2, 9, 5, 4, 6, 5, 9, 3, 1, 3, 1, 8, 8, 5, 1, 1, 6, 4, 8, 6, 1, 3, 2, 4, 2, 5, 7, 2, 9, 8, 6, 3, 1, 2, 2, 1, 9, 6, 3, 3, 7, 7, 10, 1, 10, 1, 10, 2, 4, 3, 3, 2, 4, 1, 5, 9, 5, 4, 1, 1, 4, 3, 8, 1, 3, 1, 3, 4, 5, 3, 1, 1, 3, 1, 2, 1, 1, 6, 1, 3, 4, 3, 1, 4, 1, 5, 5, 1, 1, 2, 11, 6, 1, 9, 7, 1, 6, 4, 6, 4, 11, 1, 3, 1, 3, 5, 3, 1, 5, 1, 5, 5, 1, 2, 1, 1, 6, 3, 7, 9, 14, 12, 2, 1, 2, 3, 3, 6, 2, 1, 1, 1, 6, 4, 1, 8, 5, 12, 3, 1, 1, 1, 11, 3, 1, 6, 3, 5, 1, 1, 11, 1, 1, 6, 9, 2, 4, 2, 1, 3, 1, 1, 18, 8, 3, 4, 3, 2, 13, 1, 3, 5, 2, 3, 1, 1, 4, 1, 3, 3, 4, 4, 3, 2, 4, 2, 7, 6, 1, 1, 3, 3, 4, 6, 10, 4, 2, 10, 4, 1, 2, 1, 1, 7, 3, 1, 3, 3, 2, 6, 1, 8, 5, 5, 2, 3, 8, 6, 8, 4, 2, 3, 3, 9, 1, 4, 1, 1, 20, 3, 1, 2, 3, 2, 2, 3, 7, 1, 2, 14, 7, 2, 1, 1, 4, 2, 3, 7, 3, 2, 2, 6, 2, 3, 4, 4, 3, 5, 2, 4, 2, 2, 4, 1, 1, 3, 3, 2, 9, 6, 8, 1, 1, 1, 5, 1, 4, 5, 7, 5, 5, 2, 1, 5, 3, 1, 1, 1, 4, 3, 4, 1, 2, 2, 8, 11, 1, 2, 6, 1, 4, 1, 2, 2, 11, 4, 7, 5, 5, 1, 3, 1, 9, 2, 2, 5, 1, 2, 8, 7, 2, 3, 1, 2, 2, 4, 2, 2, 4, 2, 3, 10, 2, 2, 4, 7, 1, 1, 4, 3, 3, 8, 2, 1, 1, 1, 4, 1, 7, 4, 4, 1, 4, 12, 6, 2, 2, 3, 1, 5, 3, 4, 8, 10, 5, 5, 1, 6, 4, 1, 6, 1, 3, 1, 3, 1, 11, 7, 1, 2, 4, 5, 3, 18, 7, 1, 4, 1, 3, 4, 5, 1, 3, 4, 5, 3, 12, 9, 2, 3, 1, 1, 5, 5, 2, 8, 1, 1, 5, 3, 1, 9, 7, 1, 2, 1, 1, 8, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 5, 3, 3, 1, 1, 3, 1, 2, 2, 3, 1, 10, 4, 10, 3, 3, 4, 2, 1, 7, 3, 1, 3, 2, 3, 8, 5, 4, 2, 1, 3, 3, 6, 1, 1, 8, 1, 7, 10, 3, 2, 1, 2, 3, 3, 3, 3, 12, 3, 5, 2, 12, 4, 4, 2, 5, 2, 1, 6, 1, 1, 2, 3, 1, 3, 4, 1, 6, 3, 4, 1, 1, 3, 4, 5, 4, 10, 9, 9, 10, 1, 1, 3, 4, 2, 5, 4, 4, 2, 10, 3, 2, 5, 1, 3, 3, 9, 2, 10, 2, 1, 1, 5, 4, 1, 2, 3, 3, 2, 5, 1, 1, 6, 3, 1, 1, 5, 1, 3, 3, 1, 3, 1, 1, 1, 4, 1, 1, 1, 6, 11, 8, 3, 1, 8, 2, 1, 2, 5, 7, 1, 1, 9, 6, 2, 2, 4, 1, 3, 7, 1, 1, 1, 9, 1, 1, 5, 10, 7, 4, 2, 5, 5, 6, 9, 10, 5, 1, 3, 5, 3, 1, 3, 1, 3, 3, 1, 7, 7, 1, 4, 4, 8, 2, 4, 6, 8, 6, 2, 3, 2, 1, 1, 3, 5, 11, 10, 2, 5, 5, 1, 2, 1, 2, 1, 3, 2, 14, 8, 3, 9, 6, 1, 2, 1, 1, 5, 5, 2, 1, 6, 1, 5, 1, 2, 1, 3, 1, 1, 23, 1, 3, 4, 1, 2, 5, 2, 3, 1, 2, 11, 4, 7, 1, 4, 2, 1, 2, 5, 8, 2, 1, 1, 5, 21, 2, 5, 3, 3, 2, 3, 7, 4, 5, 1, 1, 5, 8, 1, 10, 4, 6, 6, 2, 1, 7, 6, 3, 1, 1, 4, 2, 2, 3, 5, 2, 3, 1, 1, 1, 5, 3, 1, 2, 6, 16, 1, 6, 2, 3, 3, 1, 2, 2, 5, 2, 4, 4, 4, 3, 1, 2, 3, 10, 1, 2, 3, 6, 2, 2, 2, 1, 6, 1, 2, 3, 19, 5, 3, 6, 1, 4, 1, 10, 6, 8, 1, 5, 4, 7, 3, 1, 14, 4, 3, 2, 2, 4, 1, 3, 3, 8, 2, 5, 1, 4, 6, 4, 5, 2, 9, 3, 8, 1, 1, 1, 2, 4, 7, 2, 9, 6, 1, 2, 1, 13, 8, 5, 2, 4, 1, 1, 10, 5, 2, 4, 2, 1, 8, 5, 2, 1, 4, 8, 2, 1, 10, 12, 1, 1, 7, 1, 4, 4, 2, 9, 4, 4, 1, 1, 6, 2, 7, 1, 8, 1, 3, 1, 4, 1, 3, 5, 2, 1, 2, 2, 6, 2, 4, 9, 9, 2, 8, 9, 4, 4, 1, 2, 2, 4, 2, 5, 1, 2, 6, 3, 4, 1, 1, 15, 3, 3, 3, 6, 6, 12, 4, 1, 18, 1, 2, 1, 1, 1, 16, 1, 3, 7, 3, 4, 1, 4, 1, 3, 5, 1, 4, 4, 4, 1, 1, 4, 7, 3, 7, 10, 11, 1, 3, 3, 1, 1, 1, 5, 1, 3, 1, 6, 1, 1, 6, 2, 6, 7, 4, 2, 5, 6, 5, 3, 1, 1, 2, 5, 1, 1, 3, 1, 1, 2, 8, 1, 1, 2, 3, 2, 1, 3, 2, 3, 9, 3, 3, 3, 4, 1, 1, 1, 2, 2, 1, 1, 4, 6, 1, 2, 2, 11, 1, 5, 2, 6, 1, 3, 2, 7, 1, 2, 7, 4, 1, 1, 1, 2, 1, 10, 9, 1, 2, 5, 4, 5, 1, 2, 19, 3, 5, 1, 3, 2, 9, 1, 1, 1, 4, 2, 1, 4, 2, 4, 4, 7, 7, 3, 5, 3, 2, 4, 6, 3, 1, 1, 7, 11, 2, 5, 9, 2, 3, 1, 1, 1, 5, 5, 6, 4, 7, 2, 2, 3, 2, 2, 11, 1, 5, 1, 1, 3, 10, 1, 3, 3, 6, 6, 3, 4, 4, 9, 1, 5, 1, 2, 2, 2, 7, 6, 1, 3, 16, 7, 4, 8, 1, 3, 3, 2, 6, 4, 4, 5, 5, 11, 2, 3, 4, 1, 6, 2, 2, 1, 9, 5, 1, 5, 2, 5, 4, 1, 4, 5, 7, 2, 4, 7, 1, 1, 1, 1, 5, 3, 7, 9, 2, 1, 2, 2, 3, 2, 11, 2, 3, 1, 1, 24, 4, 3, 7, 10, 4, 5, 6, 6, 2, 1, 1, 2, 2, 1, 8, 3, 1, 1, 1, 1, 1, 4, 4, 1, 2, 3, 3, 1, 6, 2, 3, 1, 4, 5, 1, 1, 24, 9, 3, 7, 4, 1, 1, 1, 1, 1, 1, 10, 3, 1, 5, 4, 2, 5, 5, 2, 4, 1, 1, 6, 13, 1, 1, 1, 6, 10, 4, 5, 2, 1, 12, 1, 6, 1, 5, 7, 2, 1, 7, 3, 3, 1, 2, 5, 1, 2, 1, 4, 5, 3, 5, 3, 3, 2, 1, 1, 6, 3, 2, 7, 4, 1, 1, 6, 3, 12, 5, 2, 6, 4, 5, 6, 1, 4, 9, 1, 5, 2, 2, 3, 3, 1, 6, 1, 2, 9, 4, 1, 1, 3, 1, 1, 3, 6, 1, 6, 1, 10, 10, 1, 3, 7, 1, 6, 1, 6, 1, 1, 5, 6, 2, 4, 3, 2, 2, 2, 4, 2, 1, 1, 4, 1, 1, 5, 15, 8, 13, 2, 5, 1, 3, 5, 1, 6, 2, 4, 9, 2, 7, 1, 1, 4, 2, 2, 1, 5, 3, 1, 13, 4, 1, 12, 1, 1, 1, 3, 2, 2, 2, 1, 2, 13, 2, 1, 2, 2, 2, 3, 1, 1, 8, 3, 6, 1, 4, 3, 1, 2, 4, 2, 1, 1, 2, 3, 7, 2, 1, 4, 1, 8, 6, 3, 7, 3, 2, 14, 12, 3, 3, 10, 1, 3, 1, 1, 1, 6, 1, 1, 4, 4, 2, 1, 1, 3, 4, 5, 5, 5, 4, 6, 2, 22, 2, 1, 1, 1, 6, 1, 2, 2, 1, 2, 1, 5, 1, 2, 1, 6, 8, 3, 1, 3, 2, 5, 1, 1, 3, 13, 21, 1, 1, 1, 5, 7, 4, 4, 18, 1, 2, 6, 2, 2, 3, 6, 1, 5, 1, 6, 2, 1, 6, 1, 2, 1, 4, 12, 6, 2, 4, 1, 2, 3, 7, 7, 7, 1, 1, 1, 2, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1, 2, 28, 10, 1, 3, 1, 5, 1, 6, 3, 4, 6, 6, 2, 6, 6, 4, 3, 1, 1, 4, 8, 2, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 1, 2, 1, 3, 9, 1, 3, 14, 4, 3, 7, 3, 3, 4, 2, 2, 3, 11, 8, 3, 4, 3, 3, 5, 9, 4, 1, 6, 18, 3, 2, 6, 2, 1, 3, 17, 11, 3, 5, 4, 1, 1, 1, 7, 4, 5, 2, 1, 6, 6, 2, 4, 1, 1, 1, 1, 1, 2, 2, 4, 2, 8, 14, 1, 4, 4, 4, 4, 11, 7, 4, 4, 1, 5, 2, 7, 3, 2, 3, 9, 13, 1, 1, 1, 12, 1, 13, 9, 1, 8, 6, 15, 1, 5, 3, 1, 7, 3, 5, 2, 7, 3, 1, 3, 5, 3, 2, 1, 2, 2, 1, 1, 7, 1, 3, 2, 1, 7, 7, 2, 2, 1, 8, 3, 4, 1, 1, 1, 4, 5, 4, 2, 12, 5, 4, 1, 4, 4, 6, 6, 7, 5, 4, 2, 1, 4, 12, 6, 1, 8, 1, 1, 1, 5, 3, 3, 7, 1, 1, 14, 3, 7, 7, 5, 5, 2, 2, 2, 3, 5, 2, 5, 5, 6, 9, 1, 1, 1, 2, 9, 5, 2, 3, 1, 1, 1, 13, 1, 1, 4, 3, 8, 2, 1, 1, 4, 2, 4, 3, 1, 3, 3, 8, 7, 2, 2, 5, 6, 3, 1, 1, 1, 1, 5, 7, 2, 4, 1, 2, 18, 1, 1, 7, 1, 1, 3, 2, 1, 21, 1, 2, 1, 2, 5, 5, 2, 4, 3, 3, 1, 2, 2, 3, 1, 1, 2, 8, 8, 1, 7, 1, 4, 6, 5, 1, 1, 4, 5, 5, 2, 8, 1, 1, 5, 1, 2, 1, 1, 1, 5, 1, 1, 4, 7, 6, 1, 2, 1, 4, 2, 9, 2, 8, 2, 2, 3, 2, 1, 2, 2, 14, 8, 6, 8, 11, 5, 5, 3, 4, 9, 2, 14, 2, 2, 12, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 5, 4, 4, 5, 1, 4, 6, 5, 3, 2, 2, 5, 3, 1, 5, 3, 2, 11, 2, 1, 3, 5, 1, 2, 9, 16, 7, 4, 5, 9, 2, 5, 2, 5, 4, 7, 1, 9, 2, 10, 2, 3, 17, 3, 1, 1, 1, 4, 11, 3, 11, 4, 2, 2, 17, 2, 2, 2, 1, 1, 12, 1, 3, 4, 2, 12, 12, 3, 3, 1, 10, 12, 13, 6, 7, 10, 2, 2, 2, 1, 3, 1, 11, 4, 2, 6, 1, 11, 1, 5, 4, 3, 2, 2, 1, 3, 3, 2, 9, 1, 5, 1, 5, 2, 3, 1, 3, 9, 3, 7, 4, 3, 10, 3, 15, 2, 1, 4, 5, 5, 2, 6, 4, 2, 5, 2, 12, 3, 7, 5, 8, 3, 13, 1, 3, 2, 2, 1, 3, 1, 1, 8, 4, 1, 2, 1, 3, 4, 2, 11, 3, 2, 2, 1, 9, 2, 1, 1, 6, 1, 2, 3, 5, 2, 24, 1, 9, 3, 18, 2, 2, 9, 2, 3, 1, 6, 2, 1, 10, 1, 7, 3, 4, 4, 9, 2, 5, 1, 2, 2, 2, 1, 3, 1, 4, 2, 4, 3, 1, 5, 6, 5, 1, 9, 3, 3, 1, 3, 1, 1, 1, 3, 1, 4, 1, 3, 1, 5, 1, 14, 14, 3, 8, 6, 2, 1, 2, 4, 7, 1, 16, 3, 11, 16, 1, 5, 1, 6, 6, 2, 10, 2, 4, 4, 2, 1, 6, 3, 5, 1, 1, 3, 3, 2, 21, 2, 8, 1, 1, 7, 3, 2, 4, 5, 7, 10, 5, 4, 1, 4, 2, 1, 1, 15, 4, 4, 6, 7, 2, 4, 1, 2, 5, 1, 3, 1, 3, 1, 1, 1, 1, 1, 7, 8, 3, 1, 3, 5, 16, 3, 2, 4, 2, 1, 7, 2, 1, 5, 2, 3, 6, 1, 6, 1, 3, 3, 1, 11, 1, 3, 1, 3, 8, 2, 10, 4, 1, 1, 6, 1, 14, 12, 2, 2, 1, 5, 1, 7, 3, 1, 6, 13, 4, 7, 12, 2, 5, 9, 1, 2, 1, 2, 4, 4, 2, 6, 1, 2, 1, 7, 5, 3, 4, 1, 1, 1, 2, 2, 2, 6, 1, 3, 1, 4, 3, 12, 8, 1, 14, 1, 3, 1, 1, 1, 2, 4, 1, 7, 2, 1, 2, 1, 2, 2, 1, 1, 1, 9, 10, 3, 2, 2, 7, 1, 3, 2, 6, 14, 3, 6, 9, 1, 8, 6, 2, 7, 10, 3, 3, 1, 9, 6, 1, 6, 4, 1, 2, 3, 1, 4, 7, 6, 20, 1, 7, 1, 10, 1, 6, 4, 3, 3, 6, 3, 2, 7, 2, 6, 1, 1, 2, 1, 3, 9, 2, 3, 1, 1, 6, 1, 3, 6, 5, 8, 1, 7, 4, 4, 7, 3, 2, 2, 6, 5, 2, 2, 5, 2, 1, 9, 1, 17, 1, 1, 7, 7, 4, 1, 1, 5, 14, 3, 3, 1, 2, 8, 2, 5, 7, 1, 2, 4, 4, 9, 1, 4, 3, 3, 4, 16, 20, 1, 2, 1, 13, 8, 4, 6, 8, 2, 2, 2, 1, 9, 13, 1, 5, 1, 1, 8, 4, 2, 1, 2, 8, 1, 2, 5, 5, 2, 2, 4, 2, 1, 6, 15, 9, 3, 13, 5, 2, 6, 7, 9, 6, 2, 5, 15, 1, 6, 3, 10, 1, 5, 3, 1, 2, 2, 1, 1, 2, 1, 4, 1, 11, 5, 2, 3, 1, 4, 4, 1, 3, 1, 2, 7, 1, 4, 1, 8, 1, 2, 2, 2, 5, 2, 7, 1, 1, 2, 1, 8, 3, 3, 9, 2, 2, 3, 2, 1, 2, 2, 4, 4, 14, 14, 1, 1, 2, 8, 1, 2, 1, 5, 3, 2, 2, 1, 4, 2, 3, 2, 5, 3, 4, 2, 6, 7, 7, 7, 10, 2, 4, 3, 4, 2, 7, 1, 1, 2, 12, 7, 3, 5, 2, 1, 1, 5, 1, 3, 1, 1, 4, 7, 4, 6, 2, 1, 9, 14, 6, 3, 17, 2, 2, 2, 5, 1, 1, 3, 2, 10, 4, 1, 1, 13, 7, 2, 2, 6, 2, 3, 1, 6, 1, 4, 1, 2, 3, 1, 1, 1, 1, 3, 8, 6, 8, 3, 3, 1, 1, 2, 1, 3, 5, 3, 7, 6, 4, 2, 1, 4, 3, 2, 1, 3, 2, 2, 8, 2, 2, 2, 5, 3, 4, 4, 6, 1, 4, 7, 9, 1, 1, 4, 5, 1, 7, 6, 3, 1, 1, 3, 1, 1, 14, 3, 11, 7, 2, 2, 3, 8, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 5, 2, 2, 6, 3, 2, 1, 7, 2, 1, 1, 8, 1, 2, 2, 5, 7, 2, 7, 1, 5, 2, 10, 1, 1, 2, 1, 1, 2, 5, 2, 1, 3, 3, 1, 1, 4, 3, 1, 5, 2, 5, 4, 4, 1, 3, 1, 9, 2, 4, 5, 5, 1, 2, 4, 3, 3, 5, 4, 2, 1, 2, 1, 3, 7, 6, 2, 2, 3, 3, 4, 4, 1, 1, 4, 2, 1, 6, 1, 2, 1, 14, 6, 5, 6, 5, 2, 6, 2, 1, 5, 1, 2, 8, 17, 4, 4, 4, 2, 3, 6, 2, 1, 4, 3, 9, 1, 5, 6, 5, 1, 3, 3, 4, 8, 1, 4, 1, 3, 8, 5, 8, 4, 2, 1, 20, 7, 1, 1, 2, 1, 4, 3, 3, 3, 5, 4, 7, 4, 7, 11, 2, 3, 1, 4, 2, 1, 6, 8, 1, 4, 1, 8, 5, 4, 10, 1, 1, 5, 4, 15, 2, 3, 2, 2, 1, 5, 8, 1, 3, 9, 8, 21, 2, 3, 1, 3, 1, 20, 3, 10, 6, 4, 1, 4, 7, 3, 2, 2, 1, 1, 4, 2, 4, 11, 3, 2, 9, 2, 1, 1, 1, 7, 7, 3, 4, 1, 3, 16, 2, 1, 11, 3, 9, 4, 2, 4, 3, 1, 35, 4, 3, 8, 9, 1, 1, 1, 6, 4, 2, 7, 7, 4, 1, 2, 3, 1, 5, 2, 2, 2, 6, 3, 6, 3, 7, 4, 1, 3, 7, 1, 2, 13, 4, 5, 10, 3, 3, 10, 10, 3, 5, 4, 1, 1, 1, 2, 8, 1, 1, 2, 15, 3, 1, 6, 2, 3, 2, 1, 2, 12, 2, 2, 1, 1, 2, 8, 1, 2, 1, 3, 9, 5, 1, 1, 1, 1, 2, 6, 6, 5, 1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 1, 2, 1, 21, 5, 1, 4, 3, 2, 6, 2, 3, 2, 4, 3, 2, 6, 19, 6, 8, 7, 5, 1, 2, 3, 5, 2, 1, 2, 8, 1, 6, 9, 3, 6, 4, 3, 1, 3, 1, 3, 2, 2, 2, 4, 4, 5, 9, 5, 1, 1, 2, 6, 10, 1, 4, 1, 3, 2, 24, 7, 13, 1, 7, 4, 1, 7, 10, 2, 5, 9, 4, 6, 2, 6, 10, 4, 3, 1, 1, 8, 2, 10, 3, 13, 3, 3, 2, 1, 2, 8, 6, 11, 1, 20, 5, 3, 2, 3, 7, 2, 4, 4, 4, 3, 5, 3, 15, 6, 3, 2, 4, 4, 4, 4, 10, 3, 5, 17, 2, 3, 6, 7, 3, 3, 10, 6, 6, 9, 7, 6, 1, 2, 9, 2, 4, 4, 6, 7, 1, 6, 3, 12, 6, 11, 2, 4, 2, 4, 1, 3, 1, 10, 1, 3, 4, 2, 4, 7, 3, 2, 3, 2, 1, 2, 6, 5, 3, 17, 10, 5, 2, 8, 5, 3, 6, 2, 5, 4, 3, 2, 11, 2, 4, 1, 8, 2, 1, 1, 6, 7, 1, 11, 2, 5, 3, 1, 2, 5, 1, 4, 6, 13, 1, 1, 2, 9, 2, 7, 1, 2, 4, 7, 1, 1, 1, 3, 2, 6, 2, 1, 3, 4, 6, 4, 3, 3, 5, 3, 13, 8, 6, 1, 6, 3, 3, 4, 1, 4, 4, 1, 2, 5, 4, 7, 1, 2, 4, 2, 9, 4, 1, 3, 1, 17, 9, 2, 12, 2, 6, 1, 4, 9, 3, 3, 1, 1, 7, 7, 6, 2, 3, 2, 1, 1, 1, 3, 5, 4, 2, 2, 8, 6, 3, 2, 2, 1, 5, 7, 6, 4, 3, 10, 2, 3, 9, 5, 4, 1, 1, 2, 3, 1, 9, 5, 9, 2, 1, 4, 13, 4, 7, 5, 1, 17, 3, 1, 1, 12, 1, 2, 1, 3, 2, 3, 6, 2, 2, 2, 2, 4, 5, 1, 16, 6, 5, 6, 2, 2, 4, 4, 3, 4, 1, 4, 4, 1, 3, 8, 6, 1, 1, 2, 1, 2, 1, 4, 2, 9, 3, 3, 1, 4, 4, 1, 4, 1, 2, 6, 5, 1, 4, 1, 2, 1, 1, 2, 1, 3, 10, 6, 6, 1, 2, 1, 11, 2, 12, 4, 5, 1, 6, 2, 6, 1, 3, 1, 11, 2, 1, 2, 5, 4, 2, 1, 3, 12, 11, 3, 1, 4, 2, 4, 1, 1, 10, 2, 6, 10, 4, 7, 4, 1, 1, 3, 2, 10, 6, 3, 7, 3, 2, 3, 11, 1, 4, 3, 1, 5, 1, 1, 7, 5, 1, 3, 5, 12, 2, 2, 11, 1, 1, 1, 3, 1, 6, 1, 1, 6, 1, 1, 3, 2, 4, 6, 4, 1, 2, 10, 4, 12, 6, 1, 4, 1, 2, 6, 2, 2, 3, 7, 1, 1, 4, 3, 7, 1, 3, 5, 2, 3, 1, 2, 1, 4, 6, 2, 2, 1, 11, 8, 6, 5, 4, 3, 1, 1, 2, 2, 2, 2, 3, 1, 8, 2, 1, 8, 2, 1, 4, 1, 1, 1, 1, 1, 2, 2, 3, 2, 1, 1, 10, 2, 6, 1, 13, 6, 2, 2, 3, 3, 3, 2, 4, 2, 16, 1, 8, 16, 8, 2, 2, 4, 1, 1, 7, 6, 1, 5, 2, 2, 4, 4, 6, 2, 3, 3, 2, 1, 5, 2, 5, 7, 3, 7, 5, 2, 7, 1, 1, 4, 2, 4, 3, 5, 8, 1, 9, 2, 2, 19, 3, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 11, 4, 2, 4, 18, 1, 9, 2, 2, 1, 3, 1, 10, 3]