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
24,305,500 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 🏆 HOT
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 #46 = {47} random

Descriptive

Apariții
4244
Mean ± std
3.95 ± 3.45
CV (std/mean)
0.874
Min/Max gap
1 / 31
Last seen
16753 (gap actual: 1)

Percentile gap-uri

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

Streaks & Pattern

Hot streak (consecutive)
6
Cold streak (max absență)
31
Autocorrelation lag-1
-0.005
Drift (h2-h1)
0.13
Best period T
T=29 (entropy=0.001)

Overdue Status

Current gap
1
vs mean (z-score)
-0.85 σ
vs P95
0.09x

Statistical Test (Chi-square)

chi²
471.3
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2970 / 1274 apariții
Mean train
3.9
MAE
2.55
Accuracy
34.6%
Erori per pred
[2,1,2,3,1,2,1,1,2,5,1,2,3,4,1,3,2,0,1,12,1,3,1,4,2,2,2,2,7,1,1,1,0,3,2,8,4,1,3,4,4,1,3,3,3,2,2,4,2,2,3,2,9,3,1,2,3,2,3,1,3,1,1,3,3,3,3,3,2,1,3,2,2,0,3,16,6,0,2,2,2,5,1,2,1,6,5,2,2,3,2,2,13,3,1,0,2,2,3,3,1,3,3,3,3,3,0,0,2,2,2,1,2,2,3,1,3,3,4,3,3,2,1,2,3,3,3,1,3,1,0,3,3,0,0,3,3,3,2,1,3,1,0,0,1,6,1,1,1,2,2,3,1,2,3,2,3,8,3,2,2,3,3,1,1,4,3,3,2,2,0,1,2,1,2,1,1,2,6,3,11,2,2,2,3,2,2,3,3,1,2,2,4,0,6,15,0,3,3,1,1,3,3,2,1,3,1,3,1,0,2,1,3,3,3,1,5,0,1,2,3,1,2,2,2,3,2,3,7,3,1,3,11,1,2,3,5,0,1,3,3,3,3,3,6,3,2,2,2,2,2,5,1,1,2,3,2,2,1,1,8,7,0,3,3,1,0,3,2,1,1,1,3,3,3,2,1,1,0,2,1,4,1,3,2,0,2,3,3,3,0,3,3,3,3,1,10,4,1,3,2,2,3,3,3,3,1,0,3,3,2,3,1,1,2,5,12,1,2,1,1,1,2,0,1,3,2,0,3,1,6,3,14,3,0,0,2,2,0,2,0,4,0,2,9,0,3,0,0,2,1,3,2,2,2,0,3,2,0,1,1,1,3,1,0,2,3,4,2,2,2,3,1,3,3,1,1,3,4,3,2,0,1,2,1,3,3,1,2,1,9,2,1,1,3,4,1,1,8,2,2,2,3,0,20,5,0,3,0,3,2,0,2,3,1,3,1,3,3,3,2,0,1,3,2,16,0,0,0,3,1,2,3,0,3,2,3,3,1,2,3,3,3,3,23,3,4,3,3,5,0,3,2,2,3,1,1,2,3,2,6,3,1,2,1,2,1,2,3,2,1,2,2,3,2,6,1,2,8,6,1,1,2,2,3,3,1,3,1,7,2,4,2,9,3,2,1,1,3,4,1,2,3,0,1,6,1,2,1,2,2,3,3,2,2,5,0,2,3,1,2,3,0,3,0,2,3,1,4,2,2,2,3,2,0,2,3,1,3,0,2,3,2,0,1,2,1,1,0,3,1,4,2,3,2,4,1,1,7,3,4,1,4,4,2,2,2,2,3,1,2,2,2,2,0,2,0,6,1,3,3,1,0,3,6,3,2,2,2,3,1,2,3,3,1,2,1,1,3,2,4,3,3,3,2,2,1,2,3,4,5,2,2,3,1,5,10,1,1,2,1,2,1,2,2,1,3,1,3,7,2,2,1,0,3,2,3,3,4,1,1,4,2,3,3,2,2,2,2,8,1,2,6,10,4,3,1,2,2,7,0,1,3,2,5,1,3,10,1,3,0,3,8,2,3,2,2,2,3,1,1,1,5,3,0,2,2,1,1,2,0,1,3,1,3,3,0,2,3,3,7,1,2,3,1,1,0,3,2,3,3,3,0,19,2,2,1,3,1,3,3,3,1,1,2,2,3,2,2,3,23,1,3,2,1,1,2,1,2,3,1,3,0,1,2,3,3,3,2,2,0,0,4,5,2,1,2,12,3,2,4,0,2,2,9,4,3,3,2,0,3,1,0,3,1,2,1,2,0,0,2,2,3,3,3,1,1,2,5,3,3,0,1,2,2,1,2,1,3,3,2,3,1,1,2,2,1,3,1,1,0,2,3,2,1,1,1,1,3,3,2,3,3,3,2,2,3,2,1,1,1,3,1,0,0,0,1,1,3,5,3,0,1,2,3,1,1,4,4,2,3,1,3,2,8,3,11,0,3,0,1,2,2,1,9,3,15,0,1,2,8,0,1,2,2,2,2,2,7,5,2,1,3,3,2,3,6,2,1,2,5,4,1,3,2,3,2,3,7,3,1,7,2,7,2,13,3,3,3,4,1,1,2,2,7,4,3,0,0,3,2,1,1,4,1,10,1,1,3,1,3,3,1,4,0,5,2,3,1,3,0,0,3,3,4,0,1,3,4,2,16,2,1,3,4,2,3,1,3,3,3,0,4,3,3,2,3,4,0,2,1,3,3,3,0,0,3,2,2,1,9,3,3,3,3,3,5,1,2,1,1,3,0,17,4,2,3,1,1,1,0,0,3,1,2,3,3,2,5,2,0,3,3,1,1,3,3,2,3,3,2,0,3,0,2,2,9,0,0,2,1,4,1,3,3,2,3,3,0,3,4,0,3,2,0,1,3,3,3,1,0,1,4,3,3,3,3,1,1,3,2,2,3,3,3,2,3,2,1,3,0,1,1,3,4,3,2,4,2,1,2,2,0,2,2,1,5,0,1,3,2,5,1,1,3,3,4,3,6,1,1,9,1,3,1,2,3,5,3,1,1,10,2,3,2,13,1,0,2,2,3,0,2,2,0,2,0,3,0,1,1,1,3,2,5,1,3,1,1,1,3,2,3,1,3,2,2,5,4,2,1,2,3,1,8,2,2,8,3,0,2,1,0,3,3,1,12,3,2,9,2,3,3,1,5,1,0,3,3,4,3,3,3,2,2,3,3,3,3,1,1,3,3,2,1,2,1,2,2,6,1,2,7,8,2,3,1,3,8,3,0,14,2,2,3,2,1,3,1,2,7,1,2,0,0,0,3,2,12,1,3,10,2,1,2,3,0,1,7,2,2,6,4,2,2,3,3,16,4,3,3,1,1,3,2,1,3,3,1,5,1,1,1,2,2,3,3,2,3,4,2,4,3,1]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.563
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.346
Total: 56%

🎯 Predicție următoarea apariție

Most likely
draw #16757
±1 sigma window
[16755..16760]
P25-P95 window
[16755..16764]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 22 apariții Extrageri 84-167: 24 apariții Extrageri 168-251: 17 apariții Extrageri 252-335: 22 apariții Extrageri 336-418: 17 apariții Extrageri 419-502: 25 apariții Extrageri 503-586: 28 apariții Extrageri 587-670: 25 apariții Extrageri 671-753: 23 apariții Extrageri 754-837: 21 apariții Extrageri 838-921: 27 apariții Extrageri 922-1005: 21 apariții Extrageri 1006-1089: 27 apariții Extrageri 1090-1172: 25 apariții Extrageri 1173-1256: 19 apariții Extrageri 1257-1340: 19 apariții Extrageri 1341-1424: 21 apariții Extrageri 1425-1507: 22 apariții Extrageri 1508-1591: 19 apariții Extrageri 1592-1675: 16 apariții Extrageri 1676-1759: 20 apariții Extrageri 1760-1842: 22 apariții Extrageri 1843-1926: 26 apariții Extrageri 1927-2010: 29 apariții Extrageri 2011-2094: 14 apariții Extrageri 2095-2178: 31 apariții Extrageri 2179-2261: 12 apariții Extrageri 2262-2345: 24 apariții Extrageri 2346-2429: 23 apariții Extrageri 2430-2513: 17 apariții Extrageri 2514-2596: 25 apariții Extrageri 2597-2680: 21 apariții Extrageri 2681-2764: 28 apariții Extrageri 2765-2848: 24 apariții Extrageri 2849-2931: 22 apariții Extrageri 2932-3015: 23 apariții Extrageri 3016-3099: 23 apariții Extrageri 3100-3183: 21 apariții Extrageri 3184-3267: 21 apariții Extrageri 3268-3350: 24 apariții Extrageri 3351-3434: 24 apariții Extrageri 3435-3518: 26 apariții Extrageri 3519-3602: 22 apariții Extrageri 3603-3685: 23 apariții Extrageri 3686-3769: 17 apariții Extrageri 3770-3853: 24 apariții Extrageri 3854-3937: 16 apariții Extrageri 3938-4020: 17 apariții Extrageri 4021-4104: 18 apariții Extrageri 4105-4188: 23 apariții Extrageri 4189-4272: 20 apariții Extrageri 4273-4356: 29 apariții Extrageri 4357-4439: 20 apariții Extrageri 4440-4523: 21 apariții Extrageri 4524-4607: 26 apariții Extrageri 4608-4691: 28 apariții Extrageri 4692-4774: 15 apariții Extrageri 4775-4858: 15 apariții Extrageri 4859-4942: 25 apariții Extrageri 4943-5026: 21 apariții Extrageri 5027-5109: 20 apariții Extrageri 5110-5193: 14 apariții Extrageri 5194-5277: 26 apariții Extrageri 5278-5361: 24 apariții Extrageri 5362-5445: 21 apariții Extrageri 5446-5528: 17 apariții Extrageri 5529-5612: 28 apariții Extrageri 5613-5696: 25 apariții Extrageri 5697-5780: 15 apariții Extrageri 5781-5863: 23 apariții Extrageri 5864-5947: 17 apariții Extrageri 5948-6031: 18 apariții Extrageri 6032-6115: 23 apariții Extrageri 6116-6198: 25 apariții Extrageri 6199-6282: 18 apariții Extrageri 6283-6366: 19 apariții Extrageri 6367-6450: 20 apariții Extrageri 6451-6534: 20 apariții Extrageri 6535-6617: 23 apariții Extrageri 6618-6701: 24 apariții Extrageri 6702-6785: 19 apariții Extrageri 6786-6869: 18 apariții Extrageri 6870-6952: 14 apariții Extrageri 6953-7036: 29 apariții Extrageri 7037-7120: 21 apariții Extrageri 7121-7204: 25 apariții Extrageri 7205-7287: 22 apariții Extrageri 7288-7371: 21 apariții Extrageri 7372-7455: 19 apariții Extrageri 7456-7539: 18 apariții Extrageri 7540-7623: 28 apariții Extrageri 7624-7706: 20 apariții Extrageri 7707-7790: 20 apariții Extrageri 7791-7874: 19 apariții Extrageri 7875-7958: 14 apariții Extrageri 7959-8041: 22 apariții Extrageri 8042-8125: 21 apariții Extrageri 8126-8209: 22 apariții Extrageri 8210-8293: 18 apariții Extrageri 8294-8377: 23 apariții Extrageri 8378-8460: 19 apariții Extrageri 8461-8544: 21 apariții Extrageri 8545-8628: 24 apariții Extrageri 8629-8712: 22 apariții Extrageri 8713-8795: 17 apariții Extrageri 8796-8879: 11 apariții Extrageri 8880-8963: 20 apariții Extrageri 8964-9047: 25 apariții Extrageri 9048-9130: 21 apariții Extrageri 9131-9214: 21 apariții Extrageri 9215-9298: 20 apariții Extrageri 9299-9382: 16 apariții Extrageri 9383-9466: 27 apariții Extrageri 9467-9549: 15 apariții Extrageri 9550-9633: 25 apariții Extrageri 9634-9717: 28 apariții Extrageri 9718-9801: 20 apariții Extrageri 9802-9884: 22 apariții Extrageri 9885-9968: 21 apariții Extrageri 9969-10052: 16 apariții Extrageri 10053-10136: 24 apariții Extrageri 10137-10219: 29 apariții Extrageri 10220-10303: 24 apariții Extrageri 10304-10387: 20 apariții Extrageri 10388-10471: 21 apariții Extrageri 10472-10555: 22 apariții Extrageri 10556-10638: 27 apariții Extrageri 10639-10722: 28 apariții Extrageri 10723-10806: 16 apariții Extrageri 10807-10890: 21 apariții Extrageri 10891-10973: 23 apariții Extrageri 10974-11057: 24 apariții Extrageri 11058-11141: 14 apariții Extrageri 11142-11225: 23 apariții Extrageri 11226-11308: 21 apariții Extrageri 11309-11392: 15 apariții Extrageri 11393-11476: 23 apariții Extrageri 11477-11560: 20 apariții Extrageri 11561-11644: 24 apariții Extrageri 11645-11727: 15 apariții Extrageri 11728-11811: 19 apariții Extrageri 11812-11895: 26 apariții Extrageri 11896-11979: 13 apariții Extrageri 11980-12062: 23 apariții Extrageri 12063-12146: 33 apariții Extrageri 12147-12230: 23 apariții Extrageri 12231-12314: 27 apariții Extrageri 12315-12397: 22 apariții Extrageri 12398-12481: 18 apariții Extrageri 12482-12565: 17 apariții Extrageri 12566-12649: 20 apariții Extrageri 12650-12733: 26 apariții Extrageri 12734-12816: 21 apariții Extrageri 12817-12900: 16 apariții Extrageri 12901-12984: 19 apariții Extrageri 12985-13068: 30 apariții Extrageri 13069-13151: 20 apariții Extrageri 13152-13235: 18 apariții Extrageri 13236-13319: 16 apariții Extrageri 13320-13403: 22 apariții Extrageri 13404-13486: 23 apariții Extrageri 13487-13570: 22 apariții Extrageri 13571-13654: 22 apariții Extrageri 13655-13738: 27 apariții Extrageri 13739-13822: 16 apariții Extrageri 13823-13905: 23 apariții Extrageri 13906-13989: 21 apariții Extrageri 13990-14073: 19 apariții Extrageri 14074-14157: 22 apariții Extrageri 14158-14240: 13 apariții Extrageri 14241-14324: 18 apariții Extrageri 14325-14408: 22 apariții Extrageri 14409-14492: 25 apariții Extrageri 14493-14575: 19 apariții Extrageri 14576-14659: 15 apariții Extrageri 14660-14743: 24 apariții Extrageri 14744-14827: 25 apariții Extrageri 14828-14911: 28 apariții Extrageri 14912-14994: 15 apariții Extrageri 14995-15078: 14 apariții Extrageri 15079-15162: 20 apariții Extrageri 15163-15246: 19 apariții Extrageri 15247-15329: 16 apariții Extrageri 15330-15413: 21 apariții Extrageri 15414-15497: 21 apariții Extrageri 15498-15581: 24 apariții Extrageri 15582-15664: 17 apariții Extrageri 15665-15748: 21 apariții Extrageri 15749-15832: 22 apariții Extrageri 15833-15916: 27 apariții Extrageri 15917-16000: 20 apariții Extrageri 16001-16083: 17 apariții Extrageri 16084-16167: 23 apariții Extrageri 16168-16251: 19 apariții Extrageri 16252-16335: 19 apariții Extrageri 16336-16418: 25 apariții Extrageri 16419-16502: 17 apariții Extrageri 16503-16586: 17 apariții Extrageri 16587-16670: 16 apariții Extrageri 16671-16754: 23 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 4,244 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):
[8, 14, 15, 19, 20, 22, 24, 26, 37, 39, 44, 53, 61, 63, 64, 67, 68, 74, 75, 78, 80, 81, 86, 88, 89, 91, 93, 94, 107, 113, 117, 118, 119, 121, 125, 127, 131, 135, 137, 142, 146, 149, 156, 157, 158, 163, 173, 182, 183, 185, 191, 192, 194, 198, 200, 216, 217, 221, 224, 226, 229, 232, 243, 262, 266, 268, 270, 277, 278, 280, 281, 283, 292, 294, 299, 300, 307, 309, 313, 318, 323, 327, 328, 329, 330, 344, 347, 358, 360, 363, 366, 370, 373, 374, 378, 395, 396, 398, 400, 408, 409, 413, 422, 423, 426, 427, 437, 438, 441, 444, 446, 452, 453, 458, 461, 467, 471, 478, 480, 485, 487, 488, 491, 493, 496, 497, 503, 504, 509, 512, 516, 518, 523, 525, 527, 528, 531, 536, 540, 542, 547, 548, 550, 557, 559, 560, 562, 563, 569, 572, 576, 582, 584, 586, 587, 594, 595, 600, 601, 603, 612, 614, 616, 627, 630, 632, 634, 635, 637, 640, 641, 649, 657, 658, 659, 662, 665, 666, 668, 669, 674, 689, 692, 693, 694, 697, 698, 701, 702, 704, 706, 708, 709, 713, 719, 726, 729, 735, 736, 739, 746, 753, 754, 762, 764, 775, 777, 780, 783, 786, 790, 791, 792, 793, 796, 803, 804, 808, 812, 824, 832, 834, 836, 838, 839, 841, 844, 845, 847, 852, 854, 855, 856, 861, 862, 871, 879, 881, 883, 886, 888, 896, 898, 902, 903, 908, 910, 911, 914, 921, 922, 927, 928, 930, 932, 939, 946, 947, 948, 951, 952, 961, 964, 967, 973, 975, 976, 984, 989, 990, 992, 996, 1009, 1010, 1013, 1014, 1017, 1020, 1030, 1033, 1035, 1037, 1038, 1039, 1040, 1043, 1046, 1047, 1049, 1050, 1059, 1063, 1066, 1070, 1072, 1075, 1079, 1085, 1089, 1094, 1096, 1099, 1102, 1109, 1116, 1125, 1129, 1133, 1136, 1141, 1142, 1143, 1144, 1145, 1146, 1148, 1151, 1153, 1158, 1160, 1161, 1163, 1170, 1172, 1177, 1180, 1181, 1186, 1190, 1192, 1200, 1201, 1213, 1214, 1220, 1221, 1226, 1228, 1229, 1234, 1235, 1236, 1238, 1269, 1272, 1274, 1283, 1288, 1289, 1294, 1296, 1297, 1299, 1304, 1307, 1308, 1324, 1328, 1329, 1334, 1337, 1338, 1342, 1347, 1350, 1352, 1353, 1361, 1364, 1365, 1366, 1370, 1373, 1381, 1385, 1386, 1387, 1394, 1400, 1402, 1405, 1423, 1425, 1427, 1431, 1439, 1440, 1441, 1454, 1456, 1464, 1466, 1477, 1478, 1481, 1484, 1491, 1492, 1494, 1496, 1497, 1499, 1502, 1506, 1507, 1514, 1518, 1520, 1527, 1528, 1530, 1536, 1537, 1541, 1551, 1556, 1560, 1565, 1571, 1577, 1580, 1582, 1583, 1592, 1593, 1596, 1598, 1602, 1605, 1608, 1618, 1620, 1632, 1634, 1637, 1651, 1656, 1657, 1661, 1667, 1680, 1685, 1687, 1688, 1692, 1698, 1708, 1712, 1714, 1715, 1720, 1724, 1730, 1731, 1733, 1744, 1745, 1749, 1759, 1760, 1763, 1764, 1765, 1771, 1774, 1776, 1777, 1778, 1779, 1781, 1784, 1786, 1794, 1795, 1811, 1813, 1814, 1836, 1837, 1839, 1841, 1843, 1844, 1845, 1848, 1850, 1860, 1861, 1864, 1865, 1868, 1871, 1883, 1888, 1891, 1893, 1895, 1897, 1899, 1901, 1904, 1905, 1910, 1918, 1919, 1920, 1921, 1925, 1928, 1929, 1930, 1933, 1935, 1937, 1938, 1942, 1943, 1946, 1947, 1950, 1953, 1955, 1956, 1967, 1972, 1974, 1977, 1989, 1993, 1994, 1996, 1998, 1999, 2002, 2003, 2005, 2006, 2017, 2019, 2021, 2030, 2034, 2036, 2053, 2054, 2066, 2071, 2078, 2086, 2090, 2094, 2098, 2099, 2101, 2105, 2108, 2114, 2116, 2118, 2120, 2121, 2124, 2126, 2128, 2129, 2137, 2141, 2142, 2149, 2150, 2152, 2157, 2158, 2164, 2166, 2169, 2171, 2172, 2173, 2174, 2175, 2179, 2180, 2181, 2183, 2201, 2215, 2217, 2220, 2221, 2223, 2230, 2237, 2242, 2264, 2266, 2269, 2277, 2279, 2280, 2282, 2288, 2291, 2297, 2302, 2305, 2309, 2313, 2314, 2316, 2320, 2327, 2330, 2334, 2335, 2337, 2343, 2346, 2347, 2348, 2351, 2353, 2355, 2358, 2360, 2365, 2366, 2371, 2377, 2381, 2382, 2384, 2387, 2391, 2395, 2400, 2402, 2410, 2413, 2417, 2430, 2434, 2438, 2444, 2455, 2460, 2461, 2465, 2470, 2479, 2487, 2488, 2494, 2495, 2498, 2503, 2506, 2511, 2517, 2519, 2521, 2523, 2525, 2531, 2534, 2535, 2537, 2548, 2551, 2553, 2557, 2558, 2559, 2560, 2561, 2562, 2565, 2567, 2569, 2576, 2577, 2593, 2597, 2603, 2605, 2607, 2609, 2615, 2618, 2621, 2622, 2630, 2637, 2642, 2644, 2645, 2646, 2647, 2651, 2656, 2657, 2664, 2668, 2673, 2682, 2687, 2692, 2693, 2697, 2699, 2705, 2708, 2709, 2710, 2711, 2716, 2718, 2721, 2724, 2725, 2728, 2730, 2732, 2734, 2742, 2743, 2744, 2747, 2754, 2757, 2758, 2759, 2767, 2772, 2773, 2774, 2775, 2777, 2781, 2783, 2787, 2789, 2795, 2798, 2799, 2802, 2814, 2818, 2820, 2824, 2828, 2838, 2839, 2841, 2842, 2849, 2855, 2857, 2861, 2863, 2864, 2866, 2868, 2882, 2884, 2885, 2887, 2889, 2897, 2898, 2910, 2917, 2920, 2921, 2922, 2923, 2925, 2926, 2935, 2940, 2941, 2952, 2957, 2961, 2962, 2966, 2971, 2975, 2979, 2982, 2989, 2992, 2993, 2997, 2999, 3005, 3007, 3011, 3013, 3015, 3016, 3022, 3025, 3041, 3043, 3045, 3050, 3053, 3056, 3057, 3058, 3061, 3067, 3072, 3073, 3074, 3080, 3082, 3087, 3091, 3092, 3097, 3098, 3100, 3104, 3107, 3108, 3109, 3114, 3119, 3121, 3125, 3130, 3138, 3142, 3148, 3151, 3155, 3156, 3161, 3163, 3166, 3169, 3175, 3176, 3185, 3194, 3211, 3212, 3216, 3217, 3218, 3219, 3223, 3224, 3229, 3230, 3236, 3237, 3238, 3242, 3249, 3253, 3255, 3257, 3266, 3269, 3279, 3282, 3285, 3286, 3301, 3302, 3308, 3313, 3314, 3316, 3318, 3324, 3327, 3329, 3330, 3331, 3335, 3337, 3338, 3340, 3341, 3343, 3344, 3352, 3353, 3355, 3357, 3365, 3367, 3368, 3373, 3375, 3378, 3380, 3388, 3390, 3396, 3399, 3401, 3406, 3409, 3412, 3415, 3416, 3425, 3433, 3435, 3439, 3441, 3444, 3449, 3453, 3454, 3458, 3463, 3465, 3469, 3470, 3473, 3476, 3477, 3478, 3484, 3486, 3487, 3493, 3502, 3506, 3509, 3513, 3514, 3516, 3518, 3526, 3527, 3529, 3535, 3538, 3543, 3565, 3571, 3572, 3574, 3575, 3576, 3577, 3581, 3582, 3584, 3587, 3588, 3593, 3595, 3596, 3599, 3612, 3614, 3615, 3619, 3620, 3625, 3631, 3632, 3634, 3640, 3647, 3648, 3651, 3652, 3655, 3660, 3661, 3667, 3676, 3679, 3682, 3683, 3684, 3710, 3714, 3715, 3717, 3718, 3723, 3727, 3728, 3729, 3743, 3744, 3746, 3748, 3752, 3757, 3762, 3767, 3776, 3779, 3780, 3781, 3786, 3788, 3798, 3799, 3807, 3808, 3809, 3810, 3816, 3821, 3828, 3831, 3834, 3835, 3841, 3843, 3845, 3850, 3852, 3853, 3855, 3861, 3863, 3864, 3865, 3866, 3869, 3872, 3874, 3888, 3889, 3891, 3910, 3913, 3923, 3927, 3941, 3951, 3953, 3954, 3959, 3961, 3964, 3966, 3970, 3975, 3981, 3985, 3999, 4003, 4008, 4018, 4021, 4025, 4038, 4041, 4052, 4058, 4065, 4071, 4072, 4073, 4085, 4086, 4087, 4089, 4096, 4097, 4099, 4102, 4105, 4107, 4108, 4113, 4114, 4121, 4130, 4131, 4134, 4136, 4138, 4140, 4142, 4143, 4144, 4147, 4156, 4157, 4159, 4175, 4178, 4179, 4182, 4186, 4196, 4197, 4199, 4207, 4209, 4214, 4229, 4233, 4238, 4247, 4252, 4254, 4259, 4260, 4261, 4263, 4264, 4265, 4268, 4271, 4279, 4284, 4287, 4289, 4290, 4291, 4293, 4294, 4297, 4303, 4309, 4313, 4316, 4319, 4325, 4329, 4332, 4333, 4337, 4341, 4344, 4345, 4346, 4348, 4350, 4352, 4354, 4355, 4357, 4359, 4360, 4361, 4367, 4368, 4385, 4389, 4392, 4393, 4399, 4401, 4408, 4411, 4412, 4413, 4417, 4431, 4433, 4435, 4436, 4445, 4446, 4451, 4457, 4460, 4461, 4466, 4467, 4469, 4479, 4481, 4483, 4490, 4494, 4498, 4501, 4509, 4514, 4516, 4517, 4521, 4525, 4526, 4527, 4528, 4537, 4543, 4551, 4557, 4558, 4559, 4566, 4572, 4574, 4580, 4585, 4588, 4589, 4591, 4592, 4593, 4598, 4599, 4600, 4602, 4603, 4608, 4609, 4612, 4613, 4617, 4621, 4623, 4625, 4628, 4637, 4641, 4644, 4646, 4650, 4652, 4654, 4655, 4656, 4659, 4661, 4665, 4667, 4673, 4675, 4677, 4682, 4683, 4685, 4689, 4693, 4697, 4699, 4703, 4713, 4722, 4729, 4732, 4736, 4747, 4758, 4767, 4768, 4771, 4774, 4780, 4786, 4805, 4810, 4813, 4814, 4815, 4816, 4819, 4830, 4834, 4837, 4842, 4846, 4859, 4861, 4862, 4863, 4867, 4868, 4871, 4874, 4879, 4888, 4890, 4893, 4894, 4895, 4899, 4900, 4902, 4907, 4915, 4918, 4922, 4925, 4931, 4933, 4937, 4942, 4945, 4947, 4952, 4962, 4964, 4971, 4976, 4980, 4989, 4991, 4994, 4996, 4998, 5003, 5005, 5012, 5020, 5021, 5023, 5024, 5026, 5034, 5043, 5045, 5047, 5048, 5052, 5057, 5069, 5072, 5073, 5074, 5078, 5084, 5091, 5092, 5093, 5097, 5104, 5106, 5108, 5116, 5121, 5127, 5134, 5139, 5142, 5146, 5147, 5159, 5177, 5180, 5183, 5185, 5191, 5198, 5200, 5201, 5204, 5206, 5214, 5218, 5219, 5223, 5225, 5226, 5227, 5230, 5232, 5235, 5240, 5256, 5257, 5258, 5260, 5261, 5265, 5268, 5271, 5273, 5277, 5286, 5292, 5293, 5298, 5302, 5303, 5306, 5310, 5313, 5314, 5327, 5328, 5330, 5331, 5332, 5333, 5341, 5343, 5345, 5346, 5350, 5354, 5360, 5361, 5369, 5370, 5372, 5376, 5391, 5395, 5400, 5402, 5410, 5412, 5414, 5422, 5424, 5425, 5426, 5427, 5430, 5437, 5438, 5439, 5446, 5447, 5449, 5450, 5453, 5461, 5472, 5474, 5485, 5486, 5491, 5498, 5504, 5505, 5509, 5512, 5516, 5526, 5531, 5534, 5535, 5537, 5543, 5544, 5545, 5546, 5555, 5556, 5558, 5559, 5560, 5566, 5568, 5574, 5576, 5580, 5583, 5584, 5586, 5591, 5601, 5603, 5608, 5610, 5611, 5612, 5616, 5620, 5622, 5626, 5630, 5632, 5633, 5634, 5635, 5645, 5646, 5649, 5650, 5654, 5664, 5665, 5666, 5670, 5671, 5674, 5678, 5679, 5689, 5696, 5697, 5705, 5710, 5713, 5719, 5720, 5724, 5733, 5735, 5738, 5739, 5749, 5757, 5761, 5767, 5776, 5783, 5785, 5792, 5797, 5798, 5799, 5806, 5812, 5814, 5815, 5819, 5820, 5821, 5822, 5823, 5833, 5835, 5841, 5847, 5855, 5857, 5860, 5863, 5872, 5879, 5880, 5887, 5894, 5896, 5914, 5916, 5919, 5925, 5926, 5927, 5932, 5943, 5946, 5947, 5948, 5949, 5954, 5955, 5962, 5966, 5975, 5976, 5981, 5983, 5985, 5989, 5994, 6007, 6013, 6016, 6020, 6022, 6025, 6033, 6037, 6039, 6047, 6048, 6058, 6061, 6068, 6071, 6073, 6076, 6081, 6085, 6089, 6093, 6096, 6098, 6100, 6101, 6110, 6114, 6115, 6116, 6119, 6121, 6122, 6126, 6129, 6133, 6140, 6141, 6142, 6143, 6145, 6148, 6153, 6162, 6163, 6169, 6173, 6175, 6177, 6180, 6186, 6187, 6188, 6197, 6199, 6204, 6211, 6217, 6218, 6221, 6224, 6229, 6232, 6253, 6258, 6265, 6266, 6268, 6272, 6278, 6279, 6281, 6283, 6287, 6288, 6296, 6297, 6306, 6309, 6323, 6326, 6330, 6331, 6333, 6334, 6345, 6348, 6353, 6356, 6359, 6361, 6363, 6382, 6384, 6387, 6394, 6398, 6406, 6408, 6410, 6413, 6418, 6428, 6431, 6434, 6438, 6439, 6441, 6444, 6445, 6448, 6451, 6455, 6456, 6469, 6476, 6477, 6478, 6479, 6483, 6488, 6490, 6493, 6500, 6507, 6512, 6513, 6519, 6520, 6526, 6529, 6533, 6537, 6540, 6548, 6549, 6555, 6566, 6568, 6574, 6576, 6579, 6581, 6583, 6586, 6587, 6588, 6593, 6595, 6597, 6601, 6602, 6604, 6606, 6611, 6622, 6626, 6628, 6631, 6634, 6638, 6648, 6650, 6651, 6655, 6661, 6667, 6668, 6671, 6674, 6678, 6686, 6687, 6688, 6690, 6691, 6692, 6696, 6699, 6708, 6709, 6711, 6717, 6720, 6722, 6724, 6729, 6731, 6732, 6735, 6736, 6737, 6739, 6747, 6754, 6755, 6758, 6783, 6787, 6788, 6789, 6791, 6799, 6803, 6809, 6812, 6821, 6823, 6824, 6832, 6836, 6846, 6850, 6852, 6869, 6870, 6874, 6878, 6880, 6882, 6885, 6907, 6910, 6911, 6913, 6921, 6926, 6933, 6934, 6943, 6955, 6956, 6957, 6958, 6961, 6963, 6967, 6968, 6969, 6976, 6977, 6981, 6984, 6987, 6990, 6996, 6997, 7001, 7004, 7006, 7010, 7012, 7017, 7018, 7022, 7023, 7027, 7029, 7033, 7041, 7050, 7052, 7053, 7056, 7061, 7066, 7072, 7075, 7076, 7078, 7081, 7082, 7089, 7090, 7095, 7097, 7100, 7105, 7117, 7121, 7129, 7131, 7132, 7136, 7138, 7142, 7145, 7146, 7150, 7154, 7155, 7160, 7165, 7166, 7167, 7170, 7171, 7173, 7174, 7176, 7186, 7190, 7192, 7201, 7204, 7207, 7211, 7216, 7222, 7225, 7228, 7231, 7234, 7238, 7244, 7246, 7248, 7249, 7252, 7258, 7261, 7262, 7265, 7266, 7275, 7282, 7284, 7289, 7300, 7310, 7312, 7316, 7320, 7323, 7325, 7332, 7336, 7343, 7347, 7350, 7352, 7353, 7355, 7360, 7361, 7362, 7364, 7365, 7376, 7393, 7402, 7404, 7411, 7413, 7414, 7416, 7419, 7423, 7426, 7430, 7432, 7434, 7435, 7443, 7446, 7450, 7451, 7458, 7468, 7474, 7477, 7482, 7487, 7489, 7491, 7501, 7508, 7510, 7517, 7519, 7522, 7530, 7534, 7535, 7538, 7541, 7545, 7548, 7550, 7554, 7556, 7560, 7567, 7569, 7571, 7576, 7577, 7581, 7582, 7584, 7585, 7588, 7589, 7597, 7601, 7603, 7607, 7609, 7610, 7612, 7615, 7619, 7623, 7625, 7628, 7639, 7641, 7645, 7653, 7656, 7658, 7662, 7665, 7670, 7680, 7683, 7685, 7689, 7692, 7694, 7698, 7706, 7707, 7710, 7713, 7720, 7725, 7727, 7732, 7734, 7739, 7741, 7746, 7753, 7758, 7759, 7766, 7767, 7776, 7779, 7780, 7785, 7789, 7801, 7805, 7807, 7812, 7813, 7814, 7815, 7816, 7831, 7834, 7842, 7847, 7848, 7849, 7853, 7856, 7860, 7866, 7868, 7882, 7886, 7890, 7901, 7912, 7913, 7915, 7916, 7928, 7942, 7948, 7949, 7956, 7957, 7961, 7964, 7968, 7975, 7978, 7979, 7982, 7988, 7998, 8000, 8002, 8006, 8007, 8009, 8011, 8013, 8014, 8018, 8035, 8036, 8040, 8041, 8044, 8045, 8051, 8053, 8068, 8069, 8072, 8073, 8074, 8077, 8081, 8084, 8088, 8101, 8107, 8108, 8109, 8110, 8118, 8121, 8122, 8131, 8132, 8138, 8142, 8144, 8145, 8146, 8147, 8151, 8153, 8158, 8164, 8167, 8168, 8169, 8170, 8171, 8174, 8178, 8183, 8208, 8209, 8215, 8216, 8221, 8222, 8224, 8228, 8238, 8239, 8240, 8243, 8245, 8259, 8264, 8280, 8283, 8285, 8290, 8291, 8298, 8301, 8302, 8303, 8318, 8320, 8325, 8328, 8332, 8333, 8338, 8346, 8347, 8348, 8349, 8352, 8362, 8363, 8364, 8366, 8369, 8372, 8375, 8382, 8392, 8401, 8405, 8407, 8410, 8411, 8418, 8422, 8426, 8436, 8444, 8445, 8447, 8448, 8449, 8456, 8457, 8461, 8462, 8466, 8467, 8475, 8483, 8486, 8490, 8491, 8492, 8495, 8496, 8499, 8510, 8512, 8517, 8519, 8526, 8527, 8529, 8536, 8539, 8547, 8548, 8552, 8553, 8560, 8564, 8566, 8567, 8569, 8572, 8577, 8580, 8582, 8583, 8584, 8587, 8593, 8594, 8600, 8605, 8609, 8612, 8622, 8629, 8630, 8631, 8640, 8643, 8647, 8650, 8654, 8655, 8659, 8660, 8665, 8667, 8673, 8674, 8680, 8681, 8686, 8690, 8693, 8697, 8703, 8712, 8721, 8724, 8728, 8739, 8750, 8752, 8753, 8756, 8761, 8764, 8775, 8777, 8783, 8786, 8787, 8790, 8793, 8807, 8810, 8813, 8821, 8832, 8841, 8852, 8855, 8865, 8877, 8880, 8885, 8886, 8888, 8897, 8898, 8900, 8909, 8910, 8912, 8915, 8917, 8925, 8927, 8931, 8933, 8936, 8943, 8946, 8950, 8961, 8967, 8969, 8970, 8978, 8980, 8983, 8984, 8985, 8989, 8991, 8993, 8994, 8998, 8999, 9001, 9005, 9012, 9019, 9021, 9025, 9026, 9028, 9031, 9036, 9048, 9050, 9058, 9062, 9064, 9065, 9073, 9076, 9078, 9079, 9081, 9084, 9086, 9087, 9090, 9091, 9092, 9094, 9099, 9110, 9114, 9127, 9141, 9145, 9147, 9149, 9151, 9156, 9157, 9161, 9169, 9173, 9176, 9177, 9180, 9183, 9185, 9195, 9197, 9198, 9203, 9208, 9209, 9216, 9217, 9218, 9231, 9232, 9233, 9235, 9246, 9253, 9260, 9262, 9264, 9265, 9271, 9273, 9274, 9275, 9277, 9280, 9282, 9309, 9313, 9329, 9339, 9342, 9344, 9346, 9347, 9348, 9354, 9359, 9371, 9376, 9379, 9381, 9383, 9385, 9387, 9389, 9391, 9400, 9403, 9407, 9417, 9418, 9422, 9425, 9427, 9428, 9429, 9431, 9432, 9433, 9436, 9437, 9443, 9446, 9452, 9453, 9455, 9457, 9458, 9463, 9482, 9486, 9487, 9491, 9493, 9495, 9500, 9504, 9505, 9508, 9510, 9539, 9540, 9541, 9547, 9551, 9554, 9555, 9557, 9559, 9560, 9564, 9566, 9571, 9573, 9577, 9582, 9585, 9589, 9591, 9597, 9599, 9605, 9607, 9610, 9621, 9624, 9631, 9632, 9634, 9635, 9640, 9645, 9647, 9651, 9653, 9656, 9659, 9666, 9669, 9670, 9678, 9679, 9681, 9685, 9691, 9692, 9698, 9699, 9700, 9702, 9704, 9705, 9710, 9713, 9715, 9717, 9718, 9723, 9726, 9729, 9733, 9735, 9737, 9742, 9743, 9747, 9760, 9764, 9765, 9766, 9767, 9768, 9773, 9781, 9784, 9790, 9794, 9812, 9814, 9815, 9826, 9827, 9828, 9829, 9836, 9838, 9844, 9845, 9847, 9849, 9852, 9859, 9861, 9863, 9870, 9871, 9872, 9876, 9879, 9890, 9893, 9902, 9904, 9905, 9909, 9911, 9916, 9921, 9928, 9933, 9935, 9937, 9942, 9943, 9946, 9951, 9953, 9962, 9964, 9966, 9971, 9975, 9978, 9980, 9981, 9983, 9993, 9994, 10011, 10013, 10020, 10028, 10035, 10036, 10044, 10049, 10054, 10062, 10063, 10073, 10074, 10075, 10077, 10081, 10087, 10089, 10094, 10098, 10107, 10108, 10111, 10112, 10114, 10118, 10120, 10123, 10124, 10131, 10133, 10137, 10138, 10140, 10142, 10143, 10149, 10151, 10158, 10162, 10166, 10167, 10175, 10176, 10178, 10179, 10180, 10186, 10188, 10192, 10197, 10200, 10204, 10206, 10207, 10208, 10211, 10212, 10214, 10218, 10220, 10227, 10228, 10229, 10232, 10239, 10241, 10243, 10244, 10247, 10248, 10253, 10254, 10260, 10268, 10269, 10271, 10273, 10274, 10279, 10285, 10292, 10295, 10297, 10302, 10305, 10308, 10311, 10313, 10315, 10317, 10320, 10321, 10328, 10335, 10339, 10340, 10349, 10354, 10355, 10368, 10369, 10374, 10376, 10382, 10392, 10393, 10397, 10399, 10401, 10402, 10406, 10409, 10416, 10417, 10423, 10427, 10430, 10437, 10439, 10446, 10447, 10451, 10452, 10459, 10470, 10476, 10478, 10479, 10481, 10485, 10486, 10495, 10498, 10502, 10509, 10510, 10517, 10518, 10520, 10521, 10522, 10525, 10529, 10545, 10552, 10553, 10555, 10558, 10560, 10561, 10564, 10567, 10571, 10574, 10575, 10578, 10581, 10584, 10592, 10593, 10595, 10597, 10603, 10606, 10610, 10611, 10612, 10613, 10617, 10621, 10623, 10625, 10631, 10633, 10642, 10648, 10649, 10650, 10651, 10655, 10657, 10658, 10661, 10669, 10670, 10671, 10674, 10681, 10683, 10688, 10693, 10695, 10696, 10697, 10705, 10708, 10711, 10712, 10716, 10718, 10719, 10722, 10724, 10730, 10735, 10738, 10741, 10742, 10744, 10749, 10750, 10760, 10768, 10770, 10777, 10795, 10799, 10804, 10809, 10810, 10813, 10815, 10820, 10821, 10822, 10826, 10828, 10830, 10833, 10838, 10839, 10847, 10855, 10862, 10865, 10866, 10870, 10871, 10877, 10894, 10900, 10902, 10904, 10909, 10912, 10914, 10920, 10924, 10927, 10928, 10943, 10945, 10946, 10948, 10950, 10952, 10958, 10960, 10963, 10964, 10969, 10973, 10977, 10978, 10987, 10988, 10991, 10993, 10995, 11000, 11001, 11003, 11004, 11016, 11019, 11021, 11023, 11029, 11030, 11031, 11032, 11035, 11039, 11052, 11056, 11057, 11065, 11078, 11079, 11089, 11092, 11093, 11094, 11100, 11101, 11106, 11109, 11124, 11137, 11140, 11143, 11150, 11161, 11168, 11171, 11175, 11176, 11179, 11184, 11185, 11186, 11188, 11189, 11190, 11201, 11205, 11207, 11214, 11216, 11219, 11222, 11223, 11225, 11229, 11230, 11237, 11239, 11242, 11244, 11248, 11249, 11250, 11253, 11256, 11262, 11268, 11271, 11277, 11279, 11284, 11291, 11292, 11302, 11307, 11311, 11314, 11322, 11325, 11327, 11330, 11331, 11337, 11338, 11342, 11358, 11378, 11379, 11383, 11387, 11395, 11398, 11402, 11403, 11405, 11408, 11409, 11413, 11419, 11420, 11425, 11426, 11430, 11434, 11437, 11438, 11450, 11452, 11457, 11460, 11461, 11473, 11474, 11481, 11483, 11484, 11489, 11494, 11504, 11505, 11506, 11512, 11516, 11519, 11528, 11534, 11537, 11542, 11544, 11548, 11555, 11556, 11558, 11563, 11564, 11565, 11566, 11567, 11568, 11580, 11581, 11582, 11587, 11595, 11601, 11604, 11606, 11607, 11610, 11612, 11617, 11622, 11624, 11633, 11638, 11644, 11645, 11653, 11658, 11659, 11665, 11669, 11674, 11690, 11695, 11696, 11701, 11709, 11715, 11717, 11723, 11725, 11736, 11739, 11742, 11747, 11751, 11752, 11758, 11770, 11778, 11781, 11782, 11790, 11798, 11803, 11804, 11805, 11806, 11808, 11810, 11818, 11820, 11822, 11823, 11825, 11838, 11845, 11850, 11852, 11853, 11855, 11856, 11859, 11860, 11863, 11866, 11873, 11874, 11875, 11876, 11877, 11879, 11884, 11885, 11887, 11893, 11897, 11898, 11918, 11928, 11932, 11934, 11940, 11942, 11951, 11956, 11962, 11967, 11977, 11986, 11988, 11990, 11991, 11997, 11999, 12016, 12017, 12022, 12026, 12032, 12034, 12041, 12042, 12047, 12048, 12049, 12050, 12051, 12052, 12056, 12060, 12062, 12064, 12070, 12073, 12075, 12077, 12078, 12081, 12082, 12083, 12091, 12092, 12099, 12101, 12104, 12110, 12111, 12112, 12113, 12116, 12117, 12120, 12124, 12125, 12126, 12130, 12134, 12135, 12136, 12137, 12139, 12142, 12143, 12146, 12150, 12154, 12157, 12167, 12172, 12177, 12180, 12186, 12188, 12189, 12192, 12194, 12195, 12197, 12198, 12210, 12211, 12213, 12215, 12216, 12217, 12220, 12225, 12233, 12234, 12235, 12237, 12239, 12243, 12246, 12248, 12251, 12253, 12256, 12259, 12265, 12275, 12276, 12291, 12293, 12295, 12297, 12298, 12300, 12302, 12303, 12304, 12307, 12309, 12311, 12319, 12323, 12333, 12352, 12356, 12357, 12358, 12361, 12364, 12365, 12366, 12368, 12373, 12374, 12379, 12380, 12383, 12387, 12389, 12394, 12395, 12396, 12403, 12406, 12415, 12419, 12422, 12424, 12425, 12428, 12430, 12436, 12438, 12445, 12451, 12452, 12463, 12464, 12469, 12476, 12491, 12496, 12502, 12509, 12518, 12522, 12525, 12526, 12527, 12528, 12535, 12542, 12552, 12553, 12559, 12561, 12563, 12569, 12571, 12580, 12583, 12586, 12588, 12589, 12595, 12601, 12606, 12611, 12623, 12634, 12638, 12639, 12640, 12643, 12647, 12648, 12650, 12655, 12658, 12661, 12662, 12663, 12664, 12670, 12673, 12678, 12682, 12684, 12687, 12695, 12698, 12699, 12701, 12705, 12711, 12712, 12719, 12726, 12730, 12731, 12732, 12733, 12734, 12737, 12751, 12759, 12764, 12765, 12767, 12769, 12770, 12771, 12772, 12773, 12776, 12780, 12781, 12788, 12790, 12791, 12794, 12799, 12801, 12810, 12826, 12829, 12835, 12838, 12843, 12846, 12848, 12852, 12857, 12858, 12860, 12864, 12865, 12870, 12880, 12887, 12905, 12912, 12916, 12920, 12922, 12928, 12932, 12934, 12938, 12946, 12950, 12952, 12965, 12969, 12970, 12974, 12978, 12980, 12985, 12986, 12988, 12990, 12992, 12996, 12997, 12999, 13003, 13008, 13013, 13018, 13019, 13022, 13026, 13028, 13029, 13037, 13039, 13041, 13043, 13044, 13047, 13048, 13049, 13054, 13057, 13058, 13066, 13067, 13069, 13073, 13076, 13078, 13081, 13082, 13083, 13088, 13090, 13093, 13106, 13112, 13115, 13118, 13119, 13127, 13132, 13135, 13147, 13149, 13151, 13153, 13154, 13158, 13182, 13191, 13195, 13196, 13200, 13201, 13207, 13211, 13217, 13218, 13221, 13222, 13227, 13228, 13235, 13242, 13248, 13252, 13257, 13264, 13266, 13286, 13290, 13294, 13298, 13299, 13302, 13308, 13309, 13313, 13320, 13322, 13323, 13324, 13327, 13329, 13330, 13331, 13332, 13333, 13360, 13361, 13369, 13370, 13377, 13386, 13390, 13391, 13393, 13395, 13396, 13401, 13404, 13406, 13407, 13409, 13419, 13420, 13423, 13425, 13428, 13430, 13433, 13435, 13436, 13438, 13441, 13443, 13445, 13446, 13448, 13458, 13461, 13463, 13475, 13485, 13490, 13493, 13495, 13497, 13498, 13499, 13502, 13503, 13508, 13519, 13521, 13529, 13531, 13544, 13545, 13547, 13550, 13555, 13556, 13564, 13569, 13571, 13572, 13576, 13579, 13589, 13592, 13598, 13601, 13603, 13605, 13606, 13613, 13615, 13617, 13626, 13630, 13632, 13633, 13636, 13642, 13649, 13653, 13654, 13658, 13660, 13661, 13666, 13674, 13676, 13682, 13684, 13685, 13687, 13691, 13693, 13694, 13699, 13700, 13704, 13706, 13707, 13709, 13713, 13718, 13720, 13723, 13726, 13730, 13731, 13736, 13744, 13746, 13747, 13753, 13761, 13766, 13769, 13780, 13781, 13789, 13792, 13800, 13808, 13810, 13816, 13822, 13824, 13825, 13830, 13832, 13834, 13836, 13842, 13846, 13848, 13852, 13862, 13867, 13868, 13869, 13872, 13876, 13877, 13887, 13888, 13890, 13896, 13898, 13905, 13910, 13912, 13913, 13914, 13919, 13921, 13926, 13929, 13930, 13936, 13944, 13945, 13952, 13959, 13961, 13963, 13966, 13972, 13973, 13981, 13990, 13992, 13994, 13995, 14000, 14009, 14023, 14026, 14031, 14033, 14036, 14038, 14043, 14045, 14051, 14056, 14057, 14062, 14063, 14074, 14076, 14078, 14083, 14087, 14088, 14094, 14095, 14096, 14104, 14107, 14110, 14118, 14124, 14125, 14126, 14128, 14130, 14132, 14134, 14146, 14149, 14151, 14161, 14175, 14183, 14190, 14195, 14201, 14207, 14218, 14222, 14227, 14228, 14230, 14239, 14242, 14243, 14257, 14260, 14261, 14265, 14272, 14284, 14286, 14287, 14289, 14291, 14297, 14304, 14309, 14312, 14315, 14324, 14331, 14335, 14337, 14339, 14342, 14345, 14351, 14355, 14358, 14359, 14364, 14365, 14366, 14370, 14372, 14379, 14380, 14391, 14396, 14402, 14403, 14406, 14411, 14415, 14416, 14418, 14419, 14420, 14421, 14425, 14448, 14450, 14452, 14455, 14456, 14461, 14462, 14469, 14470, 14473, 14476, 14478, 14480, 14481, 14483, 14485, 14486, 14513, 14516, 14517, 14519, 14522, 14527, 14529, 14532, 14538, 14545, 14548, 14549, 14553, 14556, 14558, 14559, 14566, 14567, 14573, 14579, 14583, 14587, 14595, 14604, 14610, 14613, 14615, 14631, 14632, 14634, 14642, 14646, 14652, 14654, 14667, 14675, 14676, 14677, 14679, 14683, 14684, 14689, 14693, 14694, 14699, 14705, 14708, 14714, 14718, 14722, 14724, 14726, 14727, 14728, 14729, 14732, 14737, 14739, 14748, 14749, 14756, 14760, 14765, 14771, 14773, 14776, 14778, 14783, 14784, 14785, 14787, 14788, 14793, 14798, 14800, 14806, 14809, 14810, 14815, 14818, 14822, 14824, 14825, 14831, 14834, 14837, 14840, 14845, 14846, 14847, 14849, 14850, 14851, 14852, 14854, 14856, 14857, 14863, 14866, 14869, 14872, 14879, 14882, 14886, 14890, 14894, 14897, 14900, 14901, 14910, 14911, 14915, 14920, 14922, 14923, 14926, 14931, 14939, 14947, 14953, 14954, 14957, 14958, 14964, 14976, 14983, 14998, 15002, 15003, 15007, 15012, 15014, 15020, 15023, 15036, 15037, 15056, 15060, 15063, 15069, 15081, 15085, 15088, 15090, 15092, 15098, 15104, 15106, 15117, 15126, 15128, 15131, 15132, 15133, 15135, 15136, 15146, 15152, 15155, 15157, 15166, 15174, 15177, 15178, 15180, 15181, 15183, 15184, 15195, 15196, 15199, 15210, 15212, 15223, 15225, 15242, 15243, 15244, 15245, 15253, 15256, 15259, 15261, 15267, 15278, 15286, 15287, 15291, 15295, 15296, 15298, 15301, 15304, 15312, 15317, 15331, 15336, 15339, 15340, 15345, 15346, 15353, 15356, 15364, 15368, 15377, 15379, 15380, 15383, 15390, 15394, 15398, 15399, 15400, 15408, 15412, 15417, 15418, 15426, 15428, 15448, 15450, 15453, 15454, 15462, 15464, 15465, 15470, 15477, 15478, 15479, 15483, 15491, 15492, 15493, 15495, 15496, 15504, 15508, 15510, 15513, 15514, 15515, 15516, 15520, 15524, 15525, 15527, 15529, 15532, 15545, 15546, 15547, 15554, 15555, 15556, 15565, 15570, 15572, 15577, 15582, 15583, 15587, 15608, 15616, 15622, 15623, 15628, 15633, 15638, 15642, 15646, 15647, 15650, 15652, 15653, 15654, 15660, 15669, 15671, 15675, 15676, 15677, 15682, 15687, 15694, 15695, 15701, 15702, 15703, 15705, 15709, 15716, 15720, 15722, 15728, 15741, 15745, 15749, 15751, 15756, 15764, 15769, 15776, 15777, 15779, 15780, 15781, 15785, 15786, 15794, 15798, 15799, 15805, 15809, 15812, 15813, 15814, 15821, 15826, 15830, 15835, 15843, 15844, 15845, 15846, 15847, 15850, 15853, 15854, 15856, 15862, 15863, 15864, 15865, 15867, 15874, 15876, 15881, 15882, 15886, 15889, 15892, 15893, 15901, 15902, 15904, 15912, 15918, 15921, 15923, 15925, 15929, 15931, 15937, 15940, 15949, 15953, 15958, 15959, 15961, 15970, 15975, 15978, 15979, 15986, 15994, 15995, 16005, 16008, 16011, 16024, 16027, 16028, 16031, 16037, 16038, 16047, 16048, 16051, 16054, 16068, 16070, 16071, 16073, 16090, 16093, 16097, 16099, 16101, 16108, 16112, 16114, 16116, 16120, 16122, 16126, 16127, 16131, 16136, 16141, 16144, 16145, 16147, 16156, 16161, 16162, 16165, 16170, 16173, 16180, 16182, 16183, 16188, 16189, 16191, 16193, 16202, 16210, 16212, 16217, 16219, 16220, 16223, 16235, 16237, 16243, 16255, 16256, 16260, 16262, 16267, 16271, 16272, 16273, 16278, 16294, 16295, 16301, 16314, 16316, 16317, 16318, 16321, 16330, 16333, 16337, 16338, 16339, 16347, 16348, 16355, 16356, 16362, 16364, 16365, 16366, 16367, 16368, 16371, 16374, 16375, 16376, 16382, 16387, 16393, 16396, 16398, 16400, 16410, 16415, 16421, 16432, 16444, 16446, 16447, 16450, 16451, 16463, 16464, 16468, 16486, 16488, 16494, 16495, 16497, 16500, 16501, 16506, 16508, 16519, 16522, 16524, 16528, 16532, 16536, 16537, 16539, 16555, 16558, 16559, 16573, 16575, 16578, 16584, 16591, 16595, 16598, 16609, 16611, 16613, 16623, 16631, 16633, 16635, 16636, 16637, 16657, 16665, 16666, 16667, 16672, 16677, 16678, 16684, 16687, 16688, 16695, 16698, 16707, 16710, 16713, 16716, 16718, 16720, 16721, 16722, 16728, 16729, 16737, 16739, 16747, 16748, 16753]
Gap-uri:
[6, 1, 4, 1, 2, 2, 2, 11, 2, 5, 9, 8, 2, 1, 3, 1, 6, 1, 3, 2, 1, 5, 2, 1, 2, 2, 1, 13, 6, 4, 1, 1, 2, 4, 2, 4, 4, 2, 5, 4, 3, 7, 1, 1, 5, 10, 9, 1, 2, 6, 1, 2, 4, 2, 16, 1, 4, 3, 2, 3, 3, 11, 19, 4, 2, 2, 7, 1, 2, 1, 2, 9, 2, 5, 1, 7, 2, 4, 5, 5, 4, 1, 1, 1, 14, 3, 11, 2, 3, 3, 4, 3, 1, 4, 17, 1, 2, 2, 8, 1, 4, 9, 1, 3, 1, 10, 1, 3, 3, 2, 6, 1, 5, 3, 6, 4, 7, 2, 5, 2, 1, 3, 2, 3, 1, 6, 1, 5, 3, 4, 2, 5, 2, 2, 1, 3, 5, 4, 2, 5, 1, 2, 7, 2, 1, 2, 1, 6, 3, 4, 6, 2, 2, 1, 7, 1, 5, 1, 2, 9, 2, 2, 11, 3, 2, 2, 1, 2, 3, 1, 8, 8, 1, 1, 3, 3, 1, 2, 1, 5, 15, 3, 1, 1, 3, 1, 3, 1, 2, 2, 2, 1, 4, 6, 7, 3, 6, 1, 3, 7, 7, 1, 8, 2, 11, 2, 3, 3, 3, 4, 1, 1, 1, 3, 7, 1, 4, 4, 12, 8, 2, 2, 2, 1, 2, 3, 1, 2, 5, 2, 1, 1, 5, 1, 9, 8, 2, 2, 3, 2, 8, 2, 4, 1, 5, 2, 1, 3, 7, 1, 5, 1, 2, 2, 7, 7, 1, 1, 3, 1, 9, 3, 3, 6, 2, 1, 8, 5, 1, 2, 4, 13, 1, 3, 1, 3, 3, 10, 3, 2, 2, 1, 1, 1, 3, 3, 1, 2, 1, 9, 4, 3, 4, 2, 3, 4, 6, 4, 5, 2, 3, 3, 7, 7, 9, 4, 4, 3, 5, 1, 1, 1, 1, 1, 2, 3, 2, 5, 2, 1, 2, 7, 2, 5, 3, 1, 5, 4, 2, 8, 1, 12, 1, 6, 1, 5, 2, 1, 5, 1, 1, 2, 31, 3, 2, 9, 5, 1, 5, 2, 1, 2, 5, 3, 1, 16, 4, 1, 5, 3, 1, 4, 5, 3, 2, 1, 8, 3, 1, 1, 4, 3, 8, 4, 1, 1, 7, 6, 2, 3, 18, 2, 2, 4, 8, 1, 1, 13, 2, 8, 2, 11, 1, 3, 3, 7, 1, 2, 2, 1, 2, 3, 4, 1, 7, 4, 2, 7, 1, 2, 6, 1, 4, 10, 5, 4, 5, 6, 6, 3, 2, 1, 9, 1, 3, 2, 4, 3, 3, 10, 2, 12, 2, 3, 14, 5, 1, 4, 6, 13, 5, 2, 1, 4, 6, 10, 4, 2, 1, 5, 4, 6, 1, 2, 11, 1, 4, 10, 1, 3, 1, 1, 6, 3, 2, 1, 1, 1, 2, 3, 2, 8, 1, 16, 2, 1, 22, 1, 2, 2, 2, 1, 1, 3, 2, 10, 1, 3, 1, 3, 3, 12, 5, 3, 2, 2, 2, 2, 2, 3, 1, 5, 8, 1, 1, 1, 4, 3, 1, 1, 3, 2, 2, 1, 4, 1, 3, 1, 3, 3, 2, 1, 11, 5, 2, 3, 12, 4, 1, 2, 2, 1, 3, 1, 2, 1, 11, 2, 2, 9, 4, 2, 17, 1, 12, 5, 7, 8, 4, 4, 4, 1, 2, 4, 3, 6, 2, 2, 2, 1, 3, 2, 2, 1, 8, 4, 1, 7, 1, 2, 5, 1, 6, 2, 3, 2, 1, 1, 1, 1, 4, 1, 1, 2, 18, 14, 2, 3, 1, 2, 7, 7, 5, 22, 2, 3, 8, 2, 1, 2, 6, 3, 6, 5, 3, 4, 4, 1, 2, 4, 7, 3, 4, 1, 2, 6, 3, 1, 1, 3, 2, 2, 3, 2, 5, 1, 5, 6, 4, 1, 2, 3, 4, 4, 5, 2, 8, 3, 4, 13, 4, 4, 6, 11, 5, 1, 4, 5, 9, 8, 1, 6, 1, 3, 5, 3, 5, 6, 2, 2, 2, 2, 6, 3, 1, 2, 11, 3, 2, 4, 1, 1, 1, 1, 1, 3, 2, 2, 7, 1, 16, 4, 6, 2, 2, 2, 6, 3, 3, 1, 8, 7, 5, 2, 1, 1, 1, 4, 5, 1, 7, 4, 5, 9, 5, 5, 1, 4, 2, 6, 3, 1, 1, 1, 5, 2, 3, 3, 1, 3, 2, 2, 2, 8, 1, 1, 3, 7, 3, 1, 1, 8, 5, 1, 1, 1, 2, 4, 2, 4, 2, 6, 3, 1, 3, 12, 4, 2, 4, 4, 10, 1, 2, 1, 7, 6, 2, 4, 2, 1, 2, 2, 14, 2, 1, 2, 2, 8, 1, 12, 7, 3, 1, 1, 1, 2, 1, 9, 5, 1, 11, 5, 4, 1, 4, 5, 4, 4, 3, 7, 3, 1, 4, 2, 6, 2, 4, 2, 2, 1, 6, 3, 16, 2, 2, 5, 3, 3, 1, 1, 3, 6, 5, 1, 1, 6, 2, 5, 4, 1, 5, 1, 2, 4, 3, 1, 1, 5, 5, 2, 4, 5, 8, 4, 6, 3, 4, 1, 5, 2, 3, 3, 6, 1, 9, 9, 17, 1, 4, 1, 1, 1, 4, 1, 5, 1, 6, 1, 1, 4, 7, 4, 2, 2, 9, 3, 10, 3, 3, 1, 15, 1, 6, 5, 1, 2, 2, 6, 3, 2, 1, 1, 4, 2, 1, 2, 1, 2, 1, 8, 1, 2, 2, 8, 2, 1, 5, 2, 3, 2, 8, 2, 6, 3, 2, 5, 3, 3, 3, 1, 9, 8, 2, 4, 2, 3, 5, 4, 1, 4, 5, 2, 4, 1, 3, 3, 1, 1, 6, 2, 1, 6, 9, 4, 3, 4, 1, 2, 2, 8, 1, 2, 6, 3, 5, 22, 6, 1, 2, 1, 1, 1, 4, 1, 2, 3, 1, 5, 2, 1, 3, 13, 2, 1, 4, 1, 5, 6, 1, 2, 6, 7, 1, 3, 1, 3, 5, 1, 6, 9, 3, 3, 1, 1, 26, 4, 1, 2, 1, 5, 4, 1, 1, 14, 1, 2, 2, 4, 5, 5, 5, 9, 3, 1, 1, 5, 2, 10, 1, 8, 1, 1, 1, 6, 5, 7, 3, 3, 1, 6, 2, 2, 5, 2, 1, 2, 6, 2, 1, 1, 1, 3, 3, 2, 14, 1, 2, 19, 3, 10, 4, 14, 10, 2, 1, 5, 2, 3, 2, 4, 5, 6, 4, 14, 4, 5, 10, 3, 4, 13, 3, 11, 6, 7, 6, 1, 1, 12, 1, 1, 2, 7, 1, 2, 3, 3, 2, 1, 5, 1, 7, 9, 1, 3, 2, 2, 2, 2, 1, 1, 3, 9, 1, 2, 16, 3, 1, 3, 4, 10, 1, 2, 8, 2, 5, 15, 4, 5, 9, 5, 2, 5, 1, 1, 2, 1, 1, 3, 3, 8, 5, 3, 2, 1, 1, 2, 1, 3, 6, 6, 4, 3, 3, 6, 4, 3, 1, 4, 4, 3, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 6, 1, 17, 4, 3, 1, 6, 2, 7, 3, 1, 1, 4, 14, 2, 2, 1, 9, 1, 5, 6, 3, 1, 5, 1, 2, 10, 2, 2, 7, 4, 4, 3, 8, 5, 2, 1, 4, 4, 1, 1, 1, 9, 6, 8, 6, 1, 1, 7, 6, 2, 6, 5, 3, 1, 2, 1, 1, 5, 1, 1, 2, 1, 5, 1, 3, 1, 4, 4, 2, 2, 3, 9, 4, 3, 2, 4, 2, 2, 1, 1, 3, 2, 4, 2, 6, 2, 2, 5, 1, 2, 4, 4, 4, 2, 4, 10, 9, 7, 3, 4, 11, 11, 9, 1, 3, 3, 6, 6, 19, 5, 3, 1, 1, 1, 3, 11, 4, 3, 5, 4, 13, 2, 1, 1, 4, 1, 3, 3, 5, 9, 2, 3, 1, 1, 4, 1, 2, 5, 8, 3, 4, 3, 6, 2, 4, 5, 3, 2, 5, 10, 2, 7, 5, 4, 9, 2, 3, 2, 2, 5, 2, 7, 8, 1, 2, 1, 2, 8, 9, 2, 2, 1, 4, 5, 12, 3, 1, 1, 4, 6, 7, 1, 1, 4, 7, 2, 2, 8, 5, 6, 7, 5, 3, 4, 1, 12, 18, 3, 3, 2, 6, 7, 2, 1, 3, 2, 8, 4, 1, 4, 2, 1, 1, 3, 2, 3, 5, 16, 1, 1, 2, 1, 4, 3, 3, 2, 4, 9, 6, 1, 5, 4, 1, 3, 4, 3, 1, 13, 1, 2, 1, 1, 1, 8, 2, 2, 1, 4, 4, 6, 1, 8, 1, 2, 4, 15, 4, 5, 2, 8, 2, 2, 8, 2, 1, 1, 1, 3, 7, 1, 1, 7, 1, 2, 1, 3, 8, 11, 2, 11, 1, 5, 7, 6, 1, 4, 3, 4, 10, 5, 3, 1, 2, 6, 1, 1, 1, 9, 1, 2, 1, 1, 6, 2, 6, 2, 4, 3, 1, 2, 5, 10, 2, 5, 2, 1, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 10, 1, 3, 1, 4, 10, 1, 1, 4, 1, 3, 4, 1, 10, 7, 1, 8, 5, 3, 6, 1, 4, 9, 2, 3, 1, 10, 8, 4, 6, 9, 7, 2, 7, 5, 1, 1, 7, 6, 2, 1, 4, 1, 1, 1, 1, 10, 2, 6, 6, 8, 2, 3, 3, 9, 7, 1, 7, 7, 2, 18, 2, 3, 6, 1, 1, 5, 11, 3, 1, 1, 1, 5, 1, 7, 4, 9, 1, 5, 2, 2, 4, 5, 13, 6, 3, 4, 2, 3, 8, 4, 2, 8, 1, 10, 3, 7, 3, 2, 3, 5, 4, 4, 4, 3, 2, 2, 1, 9, 4, 1, 1, 3, 2, 1, 4, 3, 4, 7, 1, 1, 1, 2, 3, 5, 9, 1, 6, 4, 2, 2, 3, 6, 1, 1, 9, 2, 5, 7, 6, 1, 3, 3, 5, 3, 21, 5, 7, 1, 2, 4, 6, 1, 2, 2, 4, 1, 8, 1, 9, 3, 14, 3, 4, 1, 2, 1, 11, 3, 5, 3, 3, 2, 2, 19, 2, 3, 7, 4, 8, 2, 2, 3, 5, 10, 3, 3, 4, 1, 2, 3, 1, 3, 3, 4, 1, 13, 7, 1, 1, 1, 4, 5, 2, 3, 7, 7, 5, 1, 6, 1, 6, 3, 4, 4, 3, 8, 1, 6, 11, 2, 6, 2, 3, 2, 2, 3, 1, 1, 5, 2, 2, 4, 1, 2, 2, 5, 11, 4, 2, 3, 3, 4, 10, 2, 1, 4, 6, 6, 1, 3, 3, 4, 8, 1, 1, 2, 1, 1, 4, 3, 9, 1, 2, 6, 3, 2, 2, 5, 2, 1, 3, 1, 1, 2, 8, 7, 1, 3, 25, 4, 1, 1, 2, 8, 4, 6, 3, 9, 2, 1, 8, 4, 10, 4, 2, 17, 1, 4, 4, 2, 2, 3, 22, 3, 1, 2, 8, 5, 7, 1, 9, 12, 1, 1, 1, 3, 2, 4, 1, 1, 7, 1, 4, 3, 3, 3, 6, 1, 4, 3, 2, 4, 2, 5, 1, 4, 1, 4, 2, 4, 8, 9, 2, 1, 3, 5, 5, 6, 3, 1, 2, 3, 1, 7, 1, 5, 2, 3, 5, 12, 4, 8, 2, 1, 4, 2, 4, 3, 1, 4, 4, 1, 5, 5, 1, 1, 3, 1, 2, 1, 2, 10, 4, 2, 9, 3, 3, 4, 5, 6, 3, 3, 3, 3, 4, 6, 2, 2, 1, 3, 6, 3, 1, 3, 1, 9, 7, 2, 5, 11, 10, 2, 4, 4, 3, 2, 7, 4, 7, 4, 3, 2, 1, 2, 5, 1, 1, 2, 1, 11, 17, 9, 2, 7, 2, 1, 2, 3, 4, 3, 4, 2, 2, 1, 8, 3, 4, 1, 7, 10, 6, 3, 5, 5, 2, 2, 10, 7, 2, 7, 2, 3, 8, 4, 1, 3, 3, 4, 3, 2, 4, 2, 4, 7, 2, 2, 5, 1, 4, 1, 2, 1, 3, 1, 8, 4, 2, 4, 2, 1, 2, 3, 4, 4, 2, 3, 11, 2, 4, 8, 3, 2, 4, 3, 5, 10, 3, 2, 4, 3, 2, 4, 8, 1, 3, 3, 7, 5, 2, 5, 2, 5, 2, 5, 7, 5, 1, 7, 1, 9, 3, 1, 5, 4, 12, 4, 2, 5, 1, 1, 1, 1, 15, 3, 8, 5, 1, 1, 4, 3, 4, 6, 2, 14, 4, 4, 11, 11, 1, 2, 1, 12, 14, 6, 1, 7, 1, 4, 3, 4, 7, 3, 1, 3, 6, 10, 2, 2, 4, 1, 2, 2, 2, 1, 4, 17, 1, 4, 1, 3, 1, 6, 2, 15, 1, 3, 1, 1, 3, 4, 3, 4, 13, 6, 1, 1, 1, 8, 3, 1, 9, 1, 6, 4, 2, 1, 1, 1, 4, 2, 5, 6, 3, 1, 1, 1, 1, 3, 4, 5, 25, 1, 6, 1, 5, 1, 2, 4, 10, 1, 1, 3, 2, 14, 5, 16, 3, 2, 5, 1, 7, 3, 1, 1, 15, 2, 5, 3, 4, 1, 5, 8, 1, 1, 1, 3, 10, 1, 1, 2, 3, 3, 3, 7, 10, 9, 4, 2, 3, 1, 7, 4, 4, 10, 8, 1, 2, 1, 1, 7, 1, 4, 1, 4, 1, 8, 8, 3, 4, 1, 1, 3, 1, 3, 11, 2, 5, 2, 7, 1, 2, 7, 3, 8, 1, 4, 1, 7, 4, 2, 1, 2, 3, 5, 3, 2, 1, 1, 3, 6, 1, 6, 5, 4, 3, 10, 7, 1, 1, 9, 3, 4, 3, 4, 1, 4, 1, 5, 2, 6, 1, 6, 1, 5, 4, 3, 4, 6, 9, 9, 3, 4, 11, 11, 2, 1, 3, 5, 3, 11, 2, 6, 3, 1, 3, 3, 14, 3, 3, 8, 11, 9, 11, 3, 10, 12, 3, 5, 1, 2, 9, 1, 2, 9, 1, 2, 3, 2, 8, 2, 4, 2, 3, 7, 3, 4, 11, 6, 2, 1, 8, 2, 3, 1, 1, 4, 2, 2, 1, 4, 1, 2, 4, 7, 7, 2, 4, 1, 2, 3, 5, 12, 2, 8, 4, 2, 1, 8, 3, 2, 1, 2, 3, 2, 1, 3, 1, 1, 2, 5, 11, 4, 13, 14, 4, 2, 2, 2, 5, 1, 4, 8, 4, 3, 1, 3, 3, 2, 10, 2, 1, 5, 5, 1, 7, 1, 1, 13, 1, 1, 2, 11, 7, 7, 2, 2, 1, 6, 2, 1, 1, 2, 3, 2, 27, 4, 16, 10, 3, 2, 2, 1, 1, 6, 5, 12, 5, 3, 2, 2, 2, 2, 2, 2, 9, 3, 4, 10, 1, 4, 3, 2, 1, 1, 2, 1, 1, 3, 1, 6, 3, 6, 1, 2, 2, 1, 5, 19, 4, 1, 4, 2, 2, 5, 4, 1, 3, 2, 29, 1, 1, 6, 4, 3, 1, 2, 2, 1, 4, 2, 5, 2, 4, 5, 3, 4, 2, 6, 2, 6, 2, 3, 11, 3, 7, 1, 2, 1, 5, 5, 2, 4, 2, 3, 3, 7, 3, 1, 8, 1, 2, 4, 6, 1, 6, 1, 1, 2, 2, 1, 5, 3, 2, 2, 1, 5, 3, 3, 4, 2, 2, 5, 1, 4, 13, 4, 1, 1, 1, 1, 5, 8, 3, 6, 4, 18, 2, 1, 11, 1, 1, 1, 7, 2, 6, 1, 2, 2, 3, 7, 2, 2, 7, 1, 1, 4, 3, 11, 3, 9, 2, 1, 4, 2, 5, 5, 7, 5, 2, 2, 5, 1, 3, 5, 2, 9, 2, 2, 5, 4, 3, 2, 1, 2, 10, 1, 17, 2, 7, 8, 7, 1, 8, 5, 5, 8, 1, 10, 1, 1, 2, 4, 6, 2, 5, 4, 9, 1, 3, 1, 2, 4, 2, 3, 1, 7, 2, 4, 1, 2, 2, 1, 6, 2, 7, 4, 4, 1, 8, 1, 2, 1, 1, 6, 2, 4, 5, 3, 4, 2, 1, 1, 3, 1, 2, 4, 2, 7, 1, 1, 3, 7, 2, 2, 1, 3, 1, 5, 1, 6, 8, 1, 2, 2, 1, 5, 6, 7, 3, 2, 5, 3, 3, 3, 2, 2, 2, 3, 1, 7, 7, 4, 1, 9, 5, 1, 13, 1, 5, 2, 6, 10, 1, 4, 2, 2, 1, 4, 3, 7, 1, 6, 4, 3, 7, 2, 7, 1, 4, 1, 7, 11, 6, 2, 1, 2, 4, 1, 9, 3, 4, 7, 1, 7, 1, 2, 1, 1, 3, 4, 16, 7, 1, 2, 3, 2, 1, 3, 3, 4, 3, 1, 3, 3, 3, 8, 1, 2, 2, 6, 3, 4, 1, 1, 1, 4, 4, 2, 2, 6, 2, 9, 6, 1, 1, 1, 4, 2, 1, 3, 8, 1, 1, 3, 7, 2, 5, 5, 2, 1, 1, 8, 3, 3, 1, 4, 2, 1, 3, 2, 6, 5, 3, 3, 1, 2, 5, 1, 10, 8, 2, 7, 18, 4, 5, 5, 1, 3, 2, 5, 1, 1, 4, 2, 2, 3, 5, 1, 8, 8, 7, 3, 1, 4, 1, 6, 17, 6, 2, 2, 5, 3, 2, 6, 4, 3, 1, 15, 2, 1, 2, 2, 2, 6, 2, 3, 1, 5, 4, 4, 1, 9, 1, 3, 2, 2, 5, 1, 2, 1, 12, 3, 2, 2, 6, 1, 1, 1, 3, 4, 13, 4, 1, 8, 13, 1, 10, 3, 1, 1, 6, 1, 5, 3, 15, 13, 3, 3, 7, 11, 7, 3, 4, 1, 3, 5, 1, 1, 2, 1, 1, 11, 4, 2, 7, 2, 3, 3, 1, 2, 4, 1, 7, 2, 3, 2, 4, 1, 1, 3, 3, 6, 6, 3, 6, 2, 5, 7, 1, 10, 5, 4, 3, 8, 3, 2, 3, 1, 6, 1, 4, 16, 20, 1, 4, 4, 8, 3, 4, 1, 2, 3, 1, 4, 6, 1, 5, 1, 4, 4, 3, 1, 12, 2, 5, 3, 1, 12, 1, 7, 2, 1, 5, 5, 10, 1, 1, 6, 4, 3, 9, 6, 3, 5, 2, 4, 7, 1, 2, 5, 1, 1, 1, 1, 1, 12, 1, 1, 5, 8, 6, 3, 2, 1, 3, 2, 5, 5, 2, 9, 5, 6, 1, 8, 5, 1, 6, 4, 5, 16, 5, 1, 5, 8, 6, 2, 6, 2, 11, 3, 3, 5, 4, 1, 6, 12, 8, 3, 1, 8, 8, 5, 1, 1, 1, 2, 2, 8, 2, 2, 1, 2, 13, 7, 5, 2, 1, 2, 1, 3, 1, 3, 3, 7, 1, 1, 1, 1, 2, 5, 1, 2, 6, 4, 1, 20, 10, 4, 2, 6, 2, 9, 5, 6, 5, 10, 9, 2, 2, 1, 6, 2, 17, 1, 5, 4, 6, 2, 7, 1, 5, 1, 1, 1, 1, 1, 4, 4, 2, 2, 6, 3, 2, 2, 1, 3, 1, 1, 8, 1, 7, 2, 3, 6, 1, 1, 1, 3, 1, 3, 4, 1, 1, 4, 4, 1, 1, 1, 2, 3, 1, 3, 4, 4, 3, 10, 5, 5, 3, 6, 2, 1, 3, 2, 1, 2, 1, 12, 1, 2, 2, 1, 1, 3, 5, 8, 1, 1, 2, 2, 4, 3, 2, 3, 2, 3, 3, 6, 10, 1, 15, 2, 2, 2, 1, 2, 2, 1, 1, 3, 2, 2, 8, 4, 10, 19, 4, 1, 1, 3, 3, 1, 1, 2, 5, 1, 5, 1, 3, 4, 2, 5, 1, 1, 7, 3, 9, 4, 3, 2, 1, 3, 2, 6, 2, 7, 6, 1, 11, 1, 5, 7, 15, 5, 6, 7, 9, 4, 3, 1, 1, 1, 7, 7, 10, 1, 6, 2, 2, 6, 2, 9, 3, 3, 2, 1, 6, 6, 5, 5, 12, 11, 4, 1, 1, 3, 4, 1, 2, 5, 3, 3, 1, 1, 1, 6, 3, 5, 4, 2, 3, 8, 3, 1, 2, 4, 6, 1, 7, 7, 4, 1, 1, 1, 1, 3, 14, 8, 5, 1, 2, 2, 1, 1, 1, 1, 3, 4, 1, 7, 2, 1, 3, 5, 2, 9, 16, 3, 6, 3, 5, 3, 2, 4, 5, 1, 2, 4, 1, 5, 10, 7, 18, 7, 4, 4, 2, 6, 4, 2, 4, 8, 4, 2, 13, 4, 1, 4, 4, 2, 5, 1, 2, 2, 2, 4, 1, 2, 4, 5, 5, 5, 1, 3, 4, 2, 1, 8, 2, 2, 2, 1, 3, 1, 1, 5, 3, 1, 8, 1, 2, 4, 3, 2, 3, 1, 1, 5, 2, 3, 13, 6, 3, 3, 1, 8, 5, 3, 12, 2, 2, 2, 1, 4, 24, 9, 4, 1, 4, 1, 6, 4, 6, 1, 3, 1, 5, 1, 7, 7, 6, 4, 5, 7, 2, 20, 4, 4, 4, 1, 3, 6, 1, 4, 7, 2, 1, 1, 3, 2, 1, 1, 1, 1, 27, 1, 8, 1, 7, 9, 4, 1, 2, 2, 1, 5, 3, 2, 1, 2, 10, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 10, 3, 2, 12, 10, 5, 3, 2, 2, 1, 1, 3, 1, 5, 11, 2, 8, 2, 13, 1, 2, 3, 5, 1, 8, 5, 2, 1, 4, 3, 10, 3, 6, 3, 2, 2, 1, 7, 2, 2, 9, 4, 2, 1, 3, 6, 7, 4, 1, 4, 2, 1, 5, 8, 2, 6, 2, 1, 2, 4, 2, 1, 5, 1, 4, 2, 1, 2, 4, 5, 2, 3, 3, 4, 1, 5, 8, 2, 1, 6, 8, 5, 3, 11, 1, 8, 3, 8, 8, 2, 6, 6, 2, 1, 5, 2, 2, 2, 6, 4, 2, 4, 10, 5, 1, 1, 3, 4, 1, 10, 1, 2, 6, 2, 7, 5, 2, 1, 1, 5, 2, 5, 3, 1, 6, 8, 1, 7, 7, 2, 2, 3, 6, 1, 8, 9, 2, 2, 1, 5, 9, 14, 3, 5, 2, 3, 2, 5, 2, 6, 5, 1, 5, 1, 11, 2, 2, 5, 4, 1, 6, 1, 1, 8, 3, 3, 8, 6, 1, 1, 2, 2, 2, 2, 12, 3, 2, 10, 14, 8, 7, 5, 6, 6, 11, 4, 5, 1, 2, 9, 3, 1, 14, 3, 1, 4, 7, 12, 2, 1, 2, 2, 6, 7, 5, 3, 3, 9, 7, 4, 2, 2, 3, 3, 6, 4, 3, 1, 5, 1, 1, 4, 2, 7, 1, 11, 5, 6, 1, 3, 5, 4, 1, 2, 1, 1, 1, 4, 23, 2, 2, 3, 1, 5, 1, 7, 1, 3, 3, 2, 2, 1, 2, 2, 1, 27, 3, 1, 2, 3, 5, 2, 3, 6, 7, 3, 1, 4, 3, 2, 1, 7, 1, 6, 6, 4, 4, 8, 9, 6, 3, 2, 16, 1, 2, 8, 4, 6, 2, 13, 8, 1, 1, 2, 4, 1, 5, 4, 1, 5, 6, 3, 6, 4, 4, 2, 2, 1, 1, 1, 3, 5, 2, 9, 1, 7, 4, 5, 6, 2, 3, 2, 5, 1, 1, 2, 1, 5, 5, 2, 6, 3, 1, 5, 3, 4, 2, 1, 6, 3, 3, 3, 5, 1, 1, 2, 1, 1, 1, 2, 2, 1, 6, 3, 3, 3, 7, 3, 4, 4, 4, 3, 3, 1, 9, 1, 4, 5, 2, 1, 3, 5, 8, 8, 6, 1, 3, 1, 6, 12, 7, 15, 4, 1, 4, 5, 2, 6, 3, 13, 1, 19, 4, 3, 6, 12, 4, 3, 2, 2, 6, 6, 2, 11, 9, 2, 3, 1, 1, 2, 1, 10, 6, 3, 2, 9, 8, 3, 1, 2, 1, 2, 1, 11, 1, 3, 11, 2, 11, 2, 17, 1, 1, 1, 8, 3, 3, 2, 6, 11, 8, 1, 4, 4, 1, 2, 3, 3, 8, 5, 14, 5, 3, 1, 5, 1, 7, 3, 8, 4, 9, 2, 1, 3, 7, 4, 4, 1, 1, 8, 4, 5, 1, 8, 2, 20, 2, 3, 1, 8, 2, 1, 5, 7, 1, 1, 4, 8, 1, 1, 2, 1, 8, 4, 2, 3, 1, 1, 1, 4, 4, 1, 2, 2, 3, 13, 1, 1, 7, 1, 1, 9, 5, 2, 5, 5, 1, 4, 21, 8, 6, 1, 5, 5, 5, 4, 4, 1, 3, 2, 1, 1, 6, 9, 2, 4, 1, 1, 5, 5, 7, 1, 6, 1, 1, 2, 4, 7, 4, 2, 6, 13, 4, 4, 2, 5, 8, 5, 7, 1, 2, 1, 1, 4, 1, 8, 4, 1, 6, 4, 3, 1, 1, 7, 5, 4, 5, 8, 1, 1, 1, 1, 3, 3, 1, 2, 6, 1, 1, 1, 2, 7, 2, 5, 1, 4, 3, 3, 1, 8, 1, 2, 8, 6, 3, 2, 2, 4, 2, 6, 3, 9, 4, 5, 1, 2, 9, 5, 3, 1, 7, 8, 1, 10, 3, 3, 13, 3, 1, 3, 6, 1, 9, 1, 3, 3, 14, 2, 1, 2, 17, 3, 4, 2, 2, 7, 4, 2, 2, 4, 2, 4, 1, 4, 5, 5, 3, 1, 2, 9, 5, 1, 3, 5, 3, 7, 2, 1, 5, 1, 2, 2, 9, 8, 2, 5, 2, 1, 3, 12, 2, 6, 12, 1, 4, 2, 5, 4, 1, 1, 5, 16, 1, 6, 13, 2, 1, 1, 3, 9, 3, 4, 1, 1, 8, 1, 7, 1, 6, 2, 1, 1, 1, 1, 3, 3, 1, 1, 6, 5, 6, 3, 2, 2, 10, 5, 6, 11, 12, 2, 1, 3, 1, 12, 1, 4, 18, 2, 6, 1, 2, 3, 1, 5, 2, 11, 3, 2, 4, 4, 4, 1, 2, 16, 3, 1, 14, 2, 3, 6, 7, 4, 3, 11, 2, 2, 10, 8, 2, 2, 1, 1, 20, 8, 1, 1, 5, 5, 1, 6, 3, 1, 7, 3, 9, 3, 3, 3, 2, 2, 1, 1, 6, 1, 8, 2, 8, 1, 5]