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
24,305,442 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 #4 = {5} random

Descriptive

Apariții
4254
Mean ± std
3.94 ± 3.38
CV (std/mean)
0.859
Min/Max gap
1 / 26
Last seen
16753 (gap actual: 1)

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)
26
Autocorrelation lag-1
0.005
Drift (h2-h1)
0.03
Best period T
T=29 (entropy=0.001)

Overdue Status

Current gap
1
vs mean (z-score)
-0.87 σ
vs P95
0.09x

Statistical Test (Chi-square)

chi²
427.14
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2977 / 1277 apariții
Mean train
3.98
MAE
2.44
Accuracy
38.6%
Erori per pred
[2,3,3,3,2,0,10,0,2,4,1,3,1,1,1,3,2,3,1,1,3,10,7,2,2,6,5,1,2,3,1,7,1,3,1,2,0,3,3,0,3,0,13,0,2,3,2,3,1,1,1,1,3,3,3,4,1,0,1,2,3,1,3,3,3,3,3,3,3,3,2,6,2,3,3,2,0,3,3,1,10,5,3,3,2,3,1,0,7,3,3,2,3,1,1,3,3,3,2,2,2,2,1,1,2,3,2,2,0,0,2,3,2,2,3,2,0,0,0,2,0,2,3,2,3,2,1,5,3,3,3,0,1,0,0,1,2,3,3,3,2,2,3,3,1,2,2,5,2,3,2,3,1,8,3,3,2,2,3,1,3,1,3,2,3,3,2,1,3,3,3,2,2,3,1,1,9,3,2,3,3,3,1,2,4,3,3,3,3,3,6,3,2,1,4,3,1,2,13,2,0,2,0,2,2,3,1,9,2,2,3,3,1,1,2,6,7,0,2,3,0,1,1,1,3,0,0,2,1,0,3,20,1,1,2,1,8,3,3,0,1,3,3,2,3,1,2,1,2,3,2,3,1,3,3,3,3,0,8,1,2,1,0,3,8,3,3,2,1,0,2,3,3,3,3,2,3,5,0,2,1,1,3,11,1,2,3,6,2,2,1,2,3,3,3,3,2,3,2,1,3,10,3,2,1,3,1,3,3,3,0,3,0,3,4,12,14,2,3,3,3,11,2,3,3,2,1,2,2,1,0,0,0,3,0,2,2,2,3,4,6,11,3,3,1,2,1,3,2,2,2,2,3,1,2,1,3,1,0,3,0,3,3,2,2,0,7,1,2,3,0,1,3,0,1,3,2,3,1,5,3,2,2,1,2,1,2,2,1,0,8,3,5,0,1,9,5,1,3,3,0,2,2,7,0,2,5,2,1,1,3,2,3,2,2,3,0,2,2,3,10,0,4,1,1,0,2,2,1,4,0,0,1,8,2,1,1,2,2,3,2,2,1,0,1,0,1,2,2,3,2,2,3,2,1,2,3,3,8,3,10,0,1,6,1,2,2,1,2,3,5,2,2,1,2,1,0,3,0,6,1,3,1,1,1,2,3,2,11,3,2,5,2,1,5,0,2,1,1,3,2,0,0,3,0,2,3,3,1,3,7,3,3,1,1,2,1,7,3,2,1,1,3,2,3,3,3,7,1,1,3,1,3,1,1,3,2,2,3,1,3,1,1,1,2,1,3,1,2,4,1,6,2,2,1,0,1,0,3,2,2,0,1,2,1,2,1,7,2,2,1,2,1,2,3,5,2,2,2,3,3,1,1,9,1,1,3,1,1,2,3,3,2,2,3,2,1,1,3,6,0,3,3,4,2,1,3,3,1,0,2,1,1,1,3,2,1,4,3,2,0,1,1,0,2,3,2,13,4,2,2,1,0,1,1,0,3,2,2,3,0,0,1,2,3,6,8,5,0,1,1,0,3,0,1,3,2,0,13,1,1,2,3,14,3,1,2,1,1,3,0,1,10,3,5,2,5,2,3,3,3,7,2,6,3,3,2,1,1,2,1,5,1,0,1,0,0,3,3,4,1,5,2,5,7,2,2,3,3,3,1,3,3,1,0,1,0,5,4,0,1,2,3,1,1,3,19,0,1,1,0,2,5,3,3,2,0,3,0,3,3,3,0,1,5,2,3,0,3,3,1,8,2,2,3,1,4,5,1,1,1,0,3,3,3,1,3,2,3,3,0,3,3,3,1,1,3,1,2,2,3,3,3,3,3,1,4,1,1,2,2,3,3,1,3,3,2,0,5,3,3,1,0,3,3,3,7,3,3,3,3,2,2,5,5,2,1,3,0,3,3,3,5,3,3,2,2,1,1,2,2,2,2,1,0,3,1,0,3,0,2,3,0,5,1,1,1,2,0,0,3,3,1,3,4,1,3,3,4,2,2,2,2,1,0,3,1,0,2,2,2,4,3,2,3,10,0,3,2,0,3,1,2,3,1,1,3,1,1,1,2,2,3,3,5,3,2,1,2,3,3,3,5,1,1,1,6,0,3,4,2,2,3,1,3,1,3,3,1,2,1,3,2,1,2,1,2,0,2,3,2,3,7,3,14,1,0,3,3,3,2,2,3,3,0,3,1,1,3,3,3,2,4,3,1,7,5,3,2,3,3,3,2,1,0,2,7,2,1,2,1,3,3,3,3,3,5,3,0,1,2,3,3,1,2,17,2,1,2,8,1,2,3,0,4,0,3,2,2,2,3,2,1,4,3,3,2,2,2,3,2,1,2,7,1,1,3,0,1,1,0,7,3,3,6,3,0,2,3,3,3,3,4,1,1,2,3,2,1,2,1,4,2,1,3,2,2,2,3,4,1,2,2,1,3,0,1,1,1,3,7,6,3,3,2,2,2,2,1,3,1,3,2,3,3,4,5,1,2,2,0,5,3,2,0,2,2,0,3,3,2,1,0,4,3,1,2,3,1,3,3,0,2,3,0,2,3,3,2,2,4,3,2,1,5,1,0,0,1,3,3,2,1,3,0,1,3,6,3,3,3,1,1,3,1,8,3,3,2,1,3,2,3,1,3,8,3,1,2,3,1,0,0,3,1,3,1,2,2,1,3,3,6,2,3,2,3,0,1,3,0,1,2,1,2,3,2,2,4,2,0,0,2,0,2,1,1,1,3,0,4,2,0,0,10,0,3,2,0,1,1,2,11,3,2,0,2,3,1,3,3,9,2,0,1,2,6,2,2,3,2,3,4,3,3,1,3,1,3,1,8,1,3,0,2,4,3,1,1,1,2,2,3,3,2,2,2,7,1,1,2,1,3,3,3,1,1,3,10,1,3,5,0,11,3,2,2,1,8,1,2,3,0,2,2,3,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.571
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.386
Total: 57%

🎯 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: 21 apariții Extrageri 84-167: 31 apariții Extrageri 168-251: 21 apariții Extrageri 252-335: 22 apariții Extrageri 336-418: 22 apariții Extrageri 419-502: 19 apariții Extrageri 503-586: 19 apariții Extrageri 587-670: 15 apariții Extrageri 671-753: 21 apariții Extrageri 754-837: 19 apariții Extrageri 838-921: 16 apariții Extrageri 922-1005: 22 apariții Extrageri 1006-1089: 20 apariții Extrageri 1090-1172: 23 apariții Extrageri 1173-1256: 21 apariții Extrageri 1257-1340: 23 apariții Extrageri 1341-1424: 22 apariții Extrageri 1425-1507: 17 apariții Extrageri 1508-1591: 24 apariții Extrageri 1592-1675: 25 apariții Extrageri 1676-1759: 17 apariții Extrageri 1760-1842: 22 apariții Extrageri 1843-1926: 25 apariții Extrageri 1927-2010: 23 apariții Extrageri 2011-2094: 23 apariții Extrageri 2095-2178: 24 apariții Extrageri 2179-2261: 24 apariții Extrageri 2262-2345: 18 apariții Extrageri 2346-2429: 16 apariții Extrageri 2430-2513: 24 apariții Extrageri 2514-2596: 20 apariții Extrageri 2597-2680: 22 apariții Extrageri 2681-2764: 20 apariții Extrageri 2765-2848: 26 apariții Extrageri 2849-2931: 24 apariții Extrageri 2932-3015: 25 apariții Extrageri 3016-3099: 20 apariții Extrageri 3100-3183: 18 apariții Extrageri 3184-3267: 21 apariții Extrageri 3268-3350: 18 apariții Extrageri 3351-3434: 22 apariții Extrageri 3435-3518: 17 apariții Extrageri 3519-3602: 24 apariții Extrageri 3603-3685: 25 apariții Extrageri 3686-3769: 21 apariții Extrageri 3770-3853: 23 apariții Extrageri 3854-3937: 21 apariții Extrageri 3938-4020: 15 apariții Extrageri 4021-4104: 21 apariții Extrageri 4105-4188: 23 apariții Extrageri 4189-4272: 21 apariții Extrageri 4273-4356: 21 apariții Extrageri 4357-4439: 18 apariții Extrageri 4440-4523: 18 apariții Extrageri 4524-4607: 26 apariții Extrageri 4608-4691: 23 apariții Extrageri 4692-4774: 25 apariții Extrageri 4775-4858: 22 apariții Extrageri 4859-4942: 26 apariții Extrageri 4943-5026: 20 apariții Extrageri 5027-5109: 20 apariții Extrageri 5110-5193: 23 apariții Extrageri 5194-5277: 18 apariții Extrageri 5278-5361: 21 apariții Extrageri 5362-5445: 23 apariții Extrageri 5446-5528: 17 apariții Extrageri 5529-5612: 17 apariții Extrageri 5613-5696: 26 apariții Extrageri 5697-5780: 15 apariții Extrageri 5781-5863: 14 apariții Extrageri 5864-5947: 13 apariții Extrageri 5948-6031: 28 apariții Extrageri 6032-6115: 19 apariții Extrageri 6116-6198: 23 apariții Extrageri 6199-6282: 21 apariții Extrageri 6283-6366: 21 apariții Extrageri 6367-6450: 15 apariții Extrageri 6451-6534: 22 apariții Extrageri 6535-6617: 28 apariții Extrageri 6618-6701: 23 apariții Extrageri 6702-6785: 27 apariții Extrageri 6786-6869: 24 apariții Extrageri 6870-6952: 24 apariții Extrageri 6953-7036: 18 apariții Extrageri 7037-7120: 17 apariții Extrageri 7121-7204: 21 apariții Extrageri 7205-7287: 20 apariții Extrageri 7288-7371: 24 apariții Extrageri 7372-7455: 20 apariții Extrageri 7456-7539: 20 apariții Extrageri 7540-7623: 22 apariții Extrageri 7624-7706: 30 apariții Extrageri 7707-7790: 20 apariții Extrageri 7791-7874: 16 apariții Extrageri 7875-7958: 30 apariții Extrageri 7959-8041: 23 apariții Extrageri 8042-8125: 23 apariții Extrageri 8126-8209: 19 apariții Extrageri 8210-8293: 26 apariții Extrageri 8294-8377: 14 apariții Extrageri 8378-8460: 24 apariții Extrageri 8461-8544: 19 apariții Extrageri 8545-8628: 25 apariții Extrageri 8629-8712: 17 apariții Extrageri 8713-8795: 25 apariții Extrageri 8796-8879: 19 apariții Extrageri 8880-8963: 22 apariții Extrageri 8964-9047: 15 apariții Extrageri 9048-9130: 18 apariții Extrageri 9131-9214: 16 apariții Extrageri 9215-9298: 17 apariții Extrageri 9299-9382: 24 apariții Extrageri 9383-9466: 18 apariții Extrageri 9467-9549: 21 apariții Extrageri 9550-9633: 28 apariții Extrageri 9634-9717: 16 apariții Extrageri 9718-9801: 18 apariții Extrageri 9802-9884: 21 apariții Extrageri 9885-9968: 24 apariții Extrageri 9969-10052: 16 apariții Extrageri 10053-10136: 17 apariții Extrageri 10137-10219: 16 apariții Extrageri 10220-10303: 12 apariții Extrageri 10304-10387: 22 apariții Extrageri 10388-10471: 16 apariții Extrageri 10472-10555: 19 apariții Extrageri 10556-10638: 21 apariții Extrageri 10639-10722: 19 apariții Extrageri 10723-10806: 24 apariții Extrageri 10807-10890: 24 apariții Extrageri 10891-10973: 21 apariții Extrageri 10974-11057: 23 apariții Extrageri 11058-11141: 25 apariții Extrageri 11142-11225: 20 apariții Extrageri 11226-11308: 20 apariții Extrageri 11309-11392: 20 apariții Extrageri 11393-11476: 18 apariții Extrageri 11477-11560: 20 apariții Extrageri 11561-11644: 24 apariții Extrageri 11645-11727: 24 apariții Extrageri 11728-11811: 29 apariții Extrageri 11812-11895: 19 apariții Extrageri 11896-11979: 16 apariții Extrageri 11980-12062: 17 apariții Extrageri 12063-12146: 28 apariții Extrageri 12147-12230: 21 apariții Extrageri 12231-12314: 29 apariții Extrageri 12315-12397: 25 apariții Extrageri 12398-12481: 22 apariții Extrageri 12482-12565: 25 apariții Extrageri 12566-12649: 21 apariții Extrageri 12650-12733: 18 apariții Extrageri 12734-12816: 21 apariții Extrageri 12817-12900: 25 apariții Extrageri 12901-12984: 24 apariții Extrageri 12985-13068: 20 apariții Extrageri 13069-13151: 20 apariții Extrageri 13152-13235: 18 apariții Extrageri 13236-13319: 27 apariții Extrageri 13320-13403: 17 apariții Extrageri 13404-13486: 17 apariții Extrageri 13487-13570: 18 apariții Extrageri 13571-13654: 22 apariții Extrageri 13655-13738: 19 apariții Extrageri 13739-13822: 21 apariții Extrageri 13823-13905: 22 apariții Extrageri 13906-13989: 27 apariții Extrageri 13990-14073: 20 apariții Extrageri 14074-14157: 20 apariții Extrageri 14158-14240: 24 apariții Extrageri 14241-14324: 19 apariții Extrageri 14325-14408: 18 apariții Extrageri 14409-14492: 18 apariții Extrageri 14493-14575: 17 apariții Extrageri 14576-14659: 18 apariții Extrageri 14660-14743: 23 apariții Extrageri 14744-14827: 18 apariții Extrageri 14828-14911: 21 apariții Extrageri 14912-14994: 33 apariții Extrageri 14995-15078: 24 apariții Extrageri 15079-15162: 21 apariții Extrageri 15163-15246: 21 apariții Extrageri 15247-15329: 23 apariții Extrageri 15330-15413: 22 apariții Extrageri 15414-15497: 25 apariții Extrageri 15498-15581: 21 apariții Extrageri 15582-15664: 28 apariții Extrageri 15665-15748: 20 apariții Extrageri 15749-15832: 20 apariții Extrageri 15833-15916: 23 apariții Extrageri 15917-16000: 24 apariții Extrageri 16001-16083: 23 apariții Extrageri 16084-16167: 29 apariții Extrageri 16168-16251: 23 apariții Extrageri 16252-16335: 24 apariții Extrageri 16336-16418: 22 apariții Extrageri 16419-16502: 20 apariții Extrageri 16503-16586: 22 apariții Extrageri 16587-16670: 25 apariții Extrageri 16671-16754: 19 apariții 0 4189 8377 12566 16754 mean=21.3/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 (21.3 apariții/bin).
Combinația are 4,254 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):
[17, 26, 32, 35, 39, 40, 41, 46, 51, 57, 58, 60, 61, 63, 66, 69, 71, 72, 73, 76, 77, 87, 88, 89, 90, 92, 98, 105, 106, 107, 111, 112, 114, 127, 128, 130, 134, 136, 138, 139, 142, 144, 145, 149, 152, 156, 160, 161, 163, 165, 167, 168, 170, 174, 184, 194, 195, 198, 204, 206, 209, 210, 215, 216, 218, 220, 222, 226, 230, 231, 233, 235, 241, 257, 259, 260, 262, 266, 272, 273, 276, 280, 287, 299, 300, 302, 304, 305, 308, 314, 315, 318, 320, 321, 330, 337, 338, 347, 348, 350, 352, 355, 362, 364, 368, 379, 380, 382, 384, 391, 402, 404, 412, 413, 414, 417, 418, 424, 425, 426, 433, 434, 439, 440, 448, 449, 456, 457, 470, 472, 478, 479, 483, 485, 491, 502, 504, 505, 506, 508, 520, 524, 526, 529, 537, 545, 546, 547, 549, 553, 558, 573, 579, 580, 585, 588, 590, 593, 612, 614, 616, 618, 621, 622, 627, 639, 646, 649, 654, 661, 676, 685, 687, 688, 689, 694, 696, 698, 702, 707, 711, 712, 721, 723, 727, 738, 740, 742, 743, 745, 751, 757, 758, 763, 769, 771, 777, 783, 784, 793, 802, 808, 811, 812, 822, 825, 828, 830, 835, 836, 839, 843, 847, 851, 853, 854, 859, 868, 871, 880, 884, 898, 899, 901, 917, 921, 924, 926, 928, 931, 933, 934, 939, 941, 953, 955, 958, 963, 965, 968, 977, 978, 982, 983, 985, 991, 999, 1003, 1007, 1018, 1023, 1028, 1032, 1035, 1036, 1042, 1045, 1048, 1052, 1054, 1062, 1069, 1072, 1074, 1079, 1084, 1086, 1087, 1092, 1095, 1097, 1103, 1106, 1108, 1110, 1111, 1112, 1117, 1118, 1125, 1133, 1135, 1136, 1137, 1141, 1145, 1149, 1150, 1162, 1165, 1167, 1182, 1189, 1193, 1194, 1198, 1201, 1205, 1207, 1209, 1213, 1222, 1227, 1229, 1230, 1233, 1237, 1238, 1247, 1250, 1255, 1257, 1258, 1259, 1264, 1269, 1270, 1281, 1284, 1287, 1288, 1289, 1291, 1296, 1301, 1304, 1306, 1310, 1313, 1317, 1325, 1326, 1328, 1335, 1337, 1343, 1344, 1347, 1358, 1362, 1363, 1365, 1367, 1368, 1369, 1385, 1386, 1387, 1394, 1401, 1402, 1404, 1405, 1408, 1414, 1417, 1422, 1430, 1431, 1436, 1444, 1448, 1455, 1457, 1460, 1461, 1465, 1466, 1482, 1489, 1496, 1497, 1498, 1503, 1513, 1516, 1519, 1523, 1535, 1538, 1539, 1540, 1542, 1545, 1547, 1552, 1558, 1562, 1563, 1566, 1567, 1572, 1573, 1578, 1584, 1587, 1589, 1590, 1595, 1598, 1599, 1602, 1608, 1610, 1611, 1613, 1617, 1618, 1619, 1620, 1621, 1625, 1629, 1643, 1648, 1652, 1654, 1661, 1664, 1669, 1671, 1673, 1674, 1682, 1683, 1686, 1693, 1699, 1701, 1702, 1704, 1707, 1711, 1716, 1717, 1725, 1738, 1746, 1750, 1755, 1767, 1768, 1769, 1770, 1774, 1781, 1783, 1788, 1792, 1793, 1794, 1798, 1799, 1808, 1818, 1821, 1822, 1829, 1831, 1838, 1840, 1842, 1845, 1848, 1851, 1854, 1855, 1856, 1860, 1861, 1865, 1867, 1870, 1871, 1879, 1888, 1892, 1893, 1894, 1896, 1898, 1900, 1903, 1909, 1920, 1923, 1927, 1930, 1931, 1933, 1937, 1939, 1940, 1943, 1948, 1949, 1950, 1952, 1956, 1957, 1958, 1960, 1968, 1977, 1985, 1989, 1992, 2003, 2005, 2008, 2020, 2030, 2035, 2037, 2040, 2046, 2052, 2055, 2059, 2060, 2062, 2066, 2070, 2072, 2073, 2076, 2077, 2081, 2085, 2088, 2093, 2094, 2095, 2098, 2099, 2100, 2101, 2105, 2106, 2108, 2117, 2128, 2129, 2136, 2139, 2142, 2144, 2148, 2154, 2156, 2160, 2162, 2168, 2172, 2175, 2176, 2177, 2182, 2183, 2189, 2195, 2198, 2199, 2201, 2204, 2207, 2211, 2225, 2226, 2227, 2228, 2230, 2237, 2238, 2241, 2246, 2247, 2248, 2257, 2259, 2260, 2264, 2269, 2270, 2285, 2286, 2290, 2299, 2302, 2309, 2310, 2311, 2314, 2319, 2327, 2329, 2336, 2337, 2339, 2348, 2361, 2363, 2364, 2365, 2368, 2370, 2374, 2376, 2389, 2390, 2398, 2405, 2407, 2411, 2420, 2433, 2439, 2441, 2449, 2451, 2459, 2461, 2465, 2467, 2472, 2473, 2478, 2479, 2480, 2481, 2482, 2483, 2487, 2488, 2494, 2504, 2505, 2506, 2513, 2516, 2519, 2521, 2523, 2528, 2532, 2544, 2551, 2555, 2556, 2563, 2565, 2566, 2568, 2572, 2577, 2583, 2591, 2593, 2594, 2609, 2613, 2616, 2620, 2623, 2631, 2634, 2640, 2644, 2646, 2649, 2650, 2653, 2656, 2661, 2662, 2666, 2668, 2669, 2670, 2675, 2676, 2690, 2692, 2698, 2699, 2701, 2703, 2707, 2708, 2717, 2721, 2725, 2726, 2737, 2739, 2740, 2746, 2747, 2758, 2760, 2761, 2768, 2771, 2773, 2777, 2780, 2781, 2782, 2784, 2786, 2792, 2794, 2796, 2803, 2807, 2810, 2814, 2815, 2828, 2829, 2831, 2834, 2836, 2838, 2844, 2845, 2846, 2851, 2865, 2870, 2872, 2873, 2875, 2878, 2881, 2882, 2886, 2887, 2894, 2897, 2898, 2906, 2910, 2913, 2918, 2923, 2925, 2926, 2928, 2931, 2932, 2934, 2935, 2939, 2942, 2944, 2948, 2950, 2952, 2957, 2959, 2960, 2963, 2964, 2968, 2969, 2970, 2972, 2981, 2985, 2986, 2991, 2993, 2995, 3003, 3012, 3018, 3021, 3024, 3026, 3029, 3043, 3047, 3055, 3057, 3058, 3064, 3070, 3073, 3074, 3082, 3089, 3094, 3095, 3096, 3097, 3103, 3104, 3107, 3111, 3116, 3120, 3125, 3138, 3145, 3150, 3158, 3159, 3165, 3166, 3172, 3178, 3181, 3182, 3192, 3193, 3195, 3199, 3203, 3210, 3211, 3212, 3218, 3227, 3246, 3248, 3249, 3250, 3251, 3252, 3254, 3256, 3259, 3261, 3266, 3269, 3276, 3277, 3287, 3297, 3315, 3316, 3318, 3319, 3324, 3334, 3337, 3341, 3343, 3344, 3348, 3350, 3351, 3353, 3354, 3358, 3361, 3363, 3364, 3370, 3372, 3383, 3384, 3386, 3389, 3390, 3391, 3394, 3399, 3400, 3405, 3407, 3416, 3423, 3429, 3447, 3448, 3454, 3456, 3459, 3467, 3471, 3476, 3485, 3490, 3491, 3493, 3501, 3503, 3516, 3517, 3518, 3523, 3525, 3526, 3531, 3537, 3544, 3545, 3546, 3547, 3549, 3555, 3557, 3560, 3563, 3565, 3567, 3570, 3576, 3577, 3585, 3586, 3588, 3597, 3600, 3612, 3618, 3620, 3621, 3622, 3624, 3629, 3633, 3638, 3641, 3642, 3650, 3656, 3658, 3662, 3664, 3669, 3672, 3674, 3677, 3679, 3680, 3682, 3683, 3684, 3688, 3693, 3697, 3711, 3713, 3718, 3725, 3729, 3730, 3731, 3736, 3742, 3747, 3750, 3753, 3755, 3757, 3758, 3760, 3761, 3769, 3771, 3772, 3775, 3776, 3783, 3785, 3788, 3790, 3793, 3797, 3801, 3813, 3816, 3817, 3818, 3828, 3829, 3832, 3838, 3841, 3842, 3847, 3850, 3856, 3863, 3868, 3869, 3870, 3872, 3881, 3882, 3886, 3888, 3890, 3894, 3900, 3901, 3910, 3912, 3913, 3917, 3921, 3933, 3934, 3953, 3959, 3963, 3975, 3993, 3994, 3995, 4003, 4005, 4007, 4009, 4015, 4017, 4018, 4019, 4023, 4025, 4032, 4035, 4038, 4045, 4046, 4048, 4061, 4063, 4064, 4066, 4067, 4069, 4070, 4078, 4079, 4080, 4100, 4101, 4102, 4120, 4123, 4126, 4129, 4133, 4136, 4141, 4145, 4149, 4151, 4152, 4160, 4162, 4164, 4166, 4172, 4175, 4176, 4181, 4182, 4187, 4188, 4189, 4193, 4201, 4202, 4206, 4208, 4213, 4216, 4219, 4221, 4222, 4229, 4235, 4239, 4240, 4241, 4243, 4245, 4256, 4262, 4270, 4272, 4276, 4278, 4283, 4285, 4290, 4299, 4305, 4308, 4310, 4317, 4320, 4321, 4330, 4333, 4335, 4336, 4344, 4345, 4351, 4354, 4356, 4359, 4361, 4363, 4371, 4373, 4375, 4378, 4389, 4390, 4392, 4400, 4405, 4406, 4408, 4415, 4419, 4421, 4430, 4443, 4446, 4452, 4456, 4462, 4464, 4466, 4471, 4475, 4478, 4501, 4502, 4505, 4507, 4508, 4511, 4513, 4520, 4527, 4535, 4537, 4543, 4550, 4551, 4553, 4555, 4556, 4557, 4558, 4560, 4562, 4571, 4573, 4579, 4585, 4586, 4592, 4594, 4596, 4599, 4604, 4605, 4607, 4608, 4609, 4614, 4618, 4625, 4626, 4628, 4631, 4637, 4639, 4641, 4644, 4649, 4650, 4651, 4654, 4655, 4661, 4666, 4674, 4679, 4683, 4691, 4692, 4693, 4695, 4696, 4697, 4701, 4704, 4705, 4708, 4712, 4716, 4717, 4718, 4722, 4725, 4731, 4733, 4739, 4747, 4749, 4750, 4753, 4754, 4763, 4765, 4766, 4785, 4788, 4793, 4794, 4795, 4797, 4798, 4809, 4811, 4813, 4818, 4820, 4821, 4826, 4827, 4833, 4834, 4839, 4840, 4841, 4844, 4852, 4862, 4863, 4864, 4871, 4875, 4876, 4878, 4879, 4880, 4886, 4889, 4890, 4891, 4900, 4901, 4902, 4910, 4913, 4916, 4922, 4926, 4932, 4935, 4937, 4939, 4941, 4945, 4951, 4958, 4963, 4964, 4968, 4969, 4971, 4975, 4981, 4988, 4996, 4997, 4999, 5000, 5001, 5004, 5010, 5011, 5026, 5036, 5037, 5038, 5043, 5047, 5058, 5061, 5076, 5078, 5081, 5087, 5088, 5093, 5094, 5097, 5102, 5104, 5107, 5108, 5110, 5121, 5123, 5124, 5127, 5139, 5140, 5142, 5143, 5149, 5154, 5155, 5156, 5158, 5164, 5168, 5173, 5176, 5177, 5182, 5183, 5184, 5186, 5192, 5201, 5205, 5209, 5211, 5229, 5231, 5234, 5236, 5239, 5245, 5253, 5258, 5268, 5269, 5271, 5275, 5276, 5278, 5283, 5287, 5290, 5291, 5293, 5299, 5306, 5310, 5311, 5314, 5315, 5318, 5319, 5324, 5330, 5338, 5341, 5342, 5353, 5354, 5357, 5371, 5373, 5377, 5385, 5389, 5390, 5393, 5402, 5405, 5410, 5412, 5415, 5418, 5420, 5421, 5422, 5425, 5427, 5428, 5429, 5432, 5438, 5444, 5454, 5457, 5461, 5467, 5471, 5472, 5475, 5480, 5482, 5484, 5489, 5495, 5500, 5503, 5517, 5518, 5526, 5530, 5531, 5534, 5539, 5540, 5552, 5556, 5557, 5564, 5565, 5569, 5577, 5597, 5598, 5606, 5608, 5611, 5615, 5617, 5620, 5621, 5622, 5630, 5636, 5641, 5642, 5645, 5652, 5654, 5655, 5656, 5660, 5664, 5665, 5670, 5672, 5673, 5678, 5681, 5683, 5685, 5689, 5690, 5703, 5710, 5713, 5719, 5724, 5726, 5730, 5737, 5741, 5753, 5756, 5765, 5767, 5775, 5781, 5797, 5798, 5802, 5807, 5817, 5821, 5825, 5827, 5833, 5843, 5848, 5858, 5860, 5864, 5875, 5879, 5888, 5910, 5912, 5914, 5919, 5922, 5929, 5930, 5934, 5935, 5938, 5951, 5953, 5954, 5968, 5972, 5975, 5978, 5979, 5983, 5984, 5985, 5991, 5992, 5993, 5996, 5998, 5999, 6000, 6001, 6007, 6008, 6009, 6012, 6018, 6020, 6022, 6024, 6031, 6034, 6037, 6038, 6044, 6050, 6068, 6085, 6089, 6090, 6091, 6092, 6094, 6100, 6105, 6106, 6107, 6108, 6112, 6114, 6117, 6135, 6136, 6137, 6140, 6145, 6146, 6147, 6148, 6149, 6150, 6157, 6160, 6162, 6165, 6168, 6171, 6176, 6183, 6189, 6190, 6191, 6192, 6202, 6204, 6209, 6211, 6212, 6218, 6220, 6221, 6223, 6225, 6228, 6231, 6234, 6238, 6242, 6246, 6249, 6254, 6262, 6263, 6266, 6284, 6288, 6292, 6299, 6300, 6315, 6320, 6323, 6326, 6327, 6328, 6330, 6332, 6348, 6352, 6353, 6354, 6357, 6359, 6363, 6367, 6373, 6374, 6376, 6378, 6386, 6388, 6399, 6400, 6420, 6421, 6427, 6434, 6440, 6443, 6448, 6454, 6462, 6463, 6468, 6469, 6471, 6481, 6482, 6486, 6487, 6489, 6495, 6496, 6504, 6508, 6513, 6515, 6519, 6520, 6522, 6525, 6532, 6539, 6540, 6541, 6543, 6545, 6550, 6553, 6554, 6555, 6559, 6560, 6561, 6562, 6564, 6574, 6584, 6587, 6588, 6592, 6593, 6597, 6598, 6599, 6603, 6604, 6609, 6613, 6614, 6619, 6620, 6632, 6633, 6641, 6642, 6643, 6647, 6655, 6657, 6663, 6664, 6669, 6673, 6674, 6678, 6682, 6683, 6687, 6688, 6692, 6696, 6701, 6703, 6704, 6707, 6708, 6710, 6713, 6714, 6717, 6719, 6720, 6721, 6722, 6726, 6728, 6729, 6731, 6738, 6744, 6749, 6754, 6760, 6762, 6765, 6766, 6773, 6774, 6780, 6789, 6794, 6796, 6799, 6802, 6804, 6808, 6810, 6812, 6817, 6821, 6822, 6825, 6826, 6828, 6832, 6833, 6834, 6835, 6837, 6841, 6845, 6846, 6854, 6874, 6875, 6877, 6878, 6879, 6882, 6884, 6885, 6889, 6890, 6894, 6904, 6906, 6911, 6913, 6915, 6927, 6932, 6934, 6938, 6942, 6944, 6947, 6952, 6956, 6959, 6969, 6975, 6977, 6979, 6980, 6983, 6984, 6991, 6995, 7003, 7005, 7007, 7015, 7019, 7026, 7027, 7045, 7056, 7057, 7059, 7068, 7073, 7074, 7087, 7092, 7096, 7097, 7101, 7106, 7108, 7114, 7115, 7119, 7125, 7130, 7140, 7142, 7143, 7144, 7152, 7153, 7154, 7155, 7157, 7164, 7167, 7173, 7177, 7179, 7181, 7182, 7184, 7197, 7204, 7208, 7209, 7213, 7215, 7218, 7227, 7229, 7232, 7236, 7239, 7244, 7249, 7252, 7253, 7254, 7257, 7263, 7265, 7266, 7274, 7291, 7299, 7301, 7302, 7308, 7309, 7313, 7318, 7322, 7326, 7331, 7333, 7334, 7337, 7338, 7341, 7348, 7351, 7352, 7355, 7364, 7367, 7370, 7372, 7382, 7383, 7384, 7393, 7394, 7396, 7401, 7403, 7417, 7418, 7432, 7436, 7439, 7442, 7447, 7450, 7451, 7453, 7455, 7456, 7462, 7466, 7479, 7482, 7483, 7484, 7488, 7493, 7495, 7499, 7507, 7515, 7517, 7518, 7520, 7526, 7529, 7532, 7537, 7539, 7541, 7542, 7543, 7545, 7547, 7548, 7549, 7569, 7574, 7575, 7584, 7587, 7591, 7596, 7599, 7602, 7607, 7612, 7613, 7618, 7622, 7623, 7625, 7627, 7628, 7629, 7630, 7633, 7634, 7641, 7643, 7644, 7646, 7652, 7653, 7656, 7657, 7664, 7666, 7667, 7668, 7671, 7672, 7675, 7676, 7688, 7689, 7691, 7693, 7702, 7703, 7707, 7712, 7714, 7717, 7721, 7731, 7732, 7735, 7738, 7749, 7750, 7754, 7755, 7762, 7763, 7764, 7767, 7774, 7775, 7778, 7780, 7797, 7799, 7804, 7805, 7806, 7810, 7819, 7820, 7838, 7839, 7840, 7846, 7860, 7862, 7864, 7874, 7876, 7879, 7880, 7882, 7885, 7886, 7887, 7888, 7889, 7894, 7901, 7907, 7911, 7913, 7917, 7918, 7924, 7926, 7931, 7932, 7935, 7937, 7940, 7941, 7947, 7951, 7953, 7955, 7956, 7958, 7960, 7963, 7968, 7971, 7973, 7989, 7991, 7993, 7994, 8000, 8004, 8005, 8007, 8011, 8015, 8017, 8020, 8023, 8024, 8026, 8033, 8041, 8042, 8044, 8045, 8047, 8052, 8056, 8057, 8058, 8062, 8069, 8081, 8087, 8088, 8090, 8092, 8096, 8104, 8106, 8113, 8117, 8119, 8122, 8123, 8126, 8128, 8146, 8154, 8156, 8157, 8160, 8162, 8163, 8166, 8172, 8173, 8174, 8179, 8193, 8197, 8203, 8204, 8205, 8210, 8213, 8215, 8219, 8231, 8235, 8236, 8237, 8239, 8241, 8242, 8244, 8247, 8248, 8249, 8253, 8256, 8257, 8259, 8261, 8270, 8276, 8284, 8285, 8288, 8291, 8294, 8299, 8308, 8310, 8311, 8318, 8327, 8328, 8334, 8337, 8343, 8346, 8353, 8360, 8367, 8379, 8380, 8381, 8384, 8385, 8389, 8390, 8397, 8400, 8403, 8404, 8412, 8415, 8421, 8422, 8425, 8426, 8429, 8432, 8434, 8445, 8446, 8447, 8454, 8471, 8476, 8480, 8482, 8484, 8495, 8497, 8499, 8501, 8503, 8506, 8511, 8527, 8529, 8530, 8534, 8537, 8542, 8544, 8546, 8547, 8548, 8551, 8553, 8554, 8560, 8564, 8565, 8568, 8571, 8574, 8580, 8584, 8590, 8592, 8593, 8596, 8597, 8604, 8615, 8617, 8618, 8625, 8628, 8630, 8634, 8636, 8639, 8644, 8649, 8651, 8658, 8671, 8680, 8682, 8689, 8693, 8696, 8698, 8701, 8704, 8715, 8717, 8718, 8722, 8723, 8725, 8728, 8732, 8739, 8740, 8748, 8749, 8752, 8755, 8760, 8770, 8774, 8775, 8778, 8780, 8784, 8789, 8794, 8795, 8796, 8800, 8809, 8811, 8815, 8817, 8825, 8829, 8831, 8833, 8835, 8844, 8860, 8861, 8862, 8874, 8876, 8878, 8879, 8880, 8881, 8886, 8888, 8898, 8902, 8905, 8907, 8908, 8918, 8922, 8925, 8926, 8932, 8933, 8936, 8945, 8946, 8951, 8953, 8961, 8962, 8964, 8966, 8969, 8972, 8977, 8982, 8985, 9009, 9015, 9016, 9017, 9030, 9033, 9034, 9041, 9048, 9049, 9051, 9053, 9063, 9067, 9072, 9075, 9089, 9091, 9095, 9100, 9101, 9106, 9109, 9113, 9115, 9119, 9128, 9134, 9141, 9148, 9151, 9157, 9160, 9171, 9174, 9181, 9182, 9186, 9202, 9203, 9206, 9208, 9214, 9224, 9226, 9241, 9257, 9259, 9264, 9268, 9272, 9273, 9276, 9281, 9283, 9284, 9285, 9290, 9292, 9295, 9303, 9306, 9314, 9320, 9323, 9324, 9327, 9328, 9337, 9340, 9347, 9349, 9352, 9356, 9360, 9362, 9363, 9364, 9370, 9371, 9374, 9379, 9380, 9381, 9390, 9391, 9396, 9403, 9409, 9411, 9421, 9425, 9431, 9435, 9441, 9442, 9445, 9450, 9451, 9460, 9463, 9466, 9468, 9471, 9472, 9474, 9491, 9497, 9499, 9501, 9503, 9504, 9508, 9512, 9514, 9516, 9518, 9530, 9536, 9540, 9544, 9546, 9549, 9551, 9553, 9555, 9557, 9558, 9563, 9567, 9569, 9573, 9579, 9580, 9581, 9583, 9586, 9588, 9596, 9598, 9600, 9601, 9602, 9610, 9612, 9614, 9617, 9623, 9628, 9630, 9631, 9638, 9648, 9656, 9657, 9668, 9673, 9676, 9681, 9686, 9696, 9699, 9701, 9707, 9711, 9715, 9717, 9720, 9722, 9725, 9727, 9730, 9733, 9734, 9745, 9759, 9768, 9774, 9776, 9783, 9788, 9789, 9791, 9793, 9799, 9808, 9812, 9819, 9833, 9835, 9841, 9847, 9848, 9850, 9853, 9857, 9860, 9871, 9872, 9877, 9878, 9879, 9880, 9881, 9883, 9884, 9889, 9902, 9904, 9910, 9911, 9913, 9914, 9915, 9916, 9917, 9918, 9920, 9923, 9924, 9925, 9927, 9932, 9938, 9940, 9943, 9948, 9950, 9961, 9967, 9978, 9981, 9985, 9986, 9993, 10006, 10007, 10009, 10017, 10020, 10024, 10026, 10027, 10034, 10035, 10051, 10059, 10061, 10067, 10072, 10075, 10077, 10080, 10086, 10094, 10105, 10106, 10110, 10117, 10121, 10124, 10133, 10134, 10138, 10139, 10144, 10163, 10164, 10170, 10175, 10176, 10179, 10182, 10184, 10185, 10193, 10204, 10209, 10218, 10229, 10233, 10244, 10250, 10266, 10269, 10271, 10272, 10275, 10280, 10288, 10290, 10306, 10311, 10313, 10316, 10321, 10325, 10326, 10327, 10329, 10334, 10337, 10343, 10345, 10347, 10349, 10357, 10358, 10360, 10364, 10367, 10377, 10385, 10390, 10391, 10399, 10402, 10403, 10413, 10415, 10418, 10424, 10425, 10429, 10435, 10443, 10444, 10445, 10448, 10474, 10479, 10486, 10487, 10501, 10503, 10504, 10506, 10510, 10512, 10521, 10531, 10536, 10545, 10547, 10550, 10551, 10554, 10555, 10559, 10565, 10573, 10577, 10578, 10587, 10589, 10592, 10594, 10599, 10601, 10606, 10614, 10622, 10625, 10626, 10628, 10629, 10634, 10637, 10638, 10645, 10649, 10656, 10662, 10663, 10666, 10673, 10679, 10684, 10685, 10692, 10706, 10710, 10711, 10714, 10715, 10716, 10719, 10720, 10724, 10725, 10726, 10728, 10730, 10731, 10733, 10737, 10742, 10744, 10746, 10747, 10752, 10763, 10764, 10765, 10767, 10769, 10771, 10781, 10787, 10795, 10801, 10806, 10811, 10813, 10819, 10820, 10824, 10827, 10832, 10835, 10837, 10844, 10845, 10849, 10851, 10853, 10854, 10855, 10858, 10871, 10872, 10875, 10876, 10881, 10883, 10886, 10893, 10894, 10906, 10913, 10917, 10922, 10930, 10936, 10937, 10941, 10942, 10943, 10947, 10948, 10952, 10954, 10955, 10960, 10963, 10964, 10966, 10983, 10984, 10986, 10987, 10989, 11010, 11011, 11012, 11015, 11018, 11020, 11021, 11023, 11026, 11029, 11039, 11041, 11044, 11045, 11046, 11049, 11053, 11055, 11062, 11068, 11071, 11072, 11075, 11076, 11078, 11081, 11085, 11095, 11096, 11099, 11100, 11105, 11108, 11114, 11115, 11116, 11119, 11124, 11125, 11128, 11129, 11130, 11139, 11145, 11147, 11148, 11156, 11161, 11163, 11164, 11166, 11167, 11181, 11185, 11189, 11195, 11203, 11204, 11210, 11212, 11220, 11223, 11225, 11230, 11231, 11240, 11244, 11255, 11258, 11263, 11267, 11271, 11274, 11275, 11278, 11281, 11282, 11285, 11287, 11289, 11293, 11301, 11307, 11317, 11335, 11339, 11340, 11342, 11349, 11352, 11357, 11358, 11359, 11369, 11370, 11371, 11372, 11375, 11378, 11379, 11386, 11389, 11391, 11394, 11397, 11399, 11402, 11415, 11423, 11427, 11437, 11441, 11442, 11446, 11455, 11456, 11463, 11466, 11469, 11472, 11476, 11482, 11483, 11485, 11486, 11487, 11498, 11499, 11502, 11520, 11522, 11530, 11533, 11534, 11539, 11540, 11544, 11550, 11555, 11556, 11561, 11570, 11572, 11574, 11578, 11580, 11583, 11584, 11588, 11593, 11596, 11602, 11605, 11610, 11612, 11614, 11616, 11618, 11620, 11621, 11623, 11638, 11643, 11644, 11645, 11647, 11652, 11657, 11662, 11667, 11671, 11675, 11676, 11677, 11679, 11685, 11687, 11688, 11690, 11692, 11693, 11697, 11705, 11710, 11711, 11712, 11716, 11721, 11725, 11729, 11733, 11734, 11735, 11737, 11741, 11744, 11750, 11755, 11756, 11760, 11761, 11762, 11766, 11769, 11771, 11776, 11779, 11789, 11790, 11792, 11793, 11794, 11795, 11798, 11802, 11803, 11805, 11810, 11816, 11818, 11827, 11830, 11835, 11840, 11851, 11860, 11861, 11864, 11866, 11867, 11868, 11869, 11871, 11875, 11889, 11893, 11895, 11903, 11906, 11907, 11910, 11913, 11916, 11917, 11923, 11924, 11929, 11934, 11941, 11955, 11966, 11972, 11974, 11984, 11993, 11998, 12004, 12011, 12016, 12027, 12030, 12031, 12036, 12038, 12042, 12049, 12050, 12054, 12055, 12059, 12076, 12080, 12082, 12083, 12089, 12090, 12093, 12098, 12101, 12104, 12105, 12106, 12107, 12115, 12120, 12124, 12127, 12129, 12130, 12133, 12134, 12135, 12136, 12137, 12138, 12139, 12140, 12147, 12149, 12159, 12161, 12162, 12163, 12165, 12169, 12176, 12177, 12180, 12194, 12203, 12204, 12205, 12207, 12208, 12213, 12217, 12228, 12229, 12230, 12232, 12233, 12236, 12239, 12240, 12247, 12248, 12250, 12252, 12254, 12260, 12263, 12266, 12268, 12269, 12275, 12281, 12285, 12289, 12291, 12292, 12294, 12296, 12297, 12299, 12303, 12307, 12311, 12313, 12317, 12319, 12320, 12326, 12327, 12329, 12334, 12343, 12344, 12351, 12352, 12356, 12359, 12363, 12367, 12372, 12374, 12375, 12376, 12377, 12383, 12385, 12392, 12393, 12398, 12400, 12406, 12415, 12417, 12418, 12424, 12425, 12428, 12440, 12441, 12448, 12454, 12456, 12457, 12460, 12467, 12470, 12471, 12473, 12474, 12475, 12481, 12486, 12487, 12494, 12495, 12501, 12503, 12504, 12507, 12510, 12523, 12524, 12526, 12527, 12534, 12535, 12540, 12542, 12550, 12551, 12552, 12553, 12554, 12555, 12565, 12566, 12568, 12571, 12579, 12580, 12585, 12587, 12604, 12606, 12610, 12612, 12616, 12618, 12620, 12621, 12624, 12637, 12639, 12641, 12642, 12643, 12648, 12653, 12655, 12665, 12676, 12680, 12686, 12687, 12691, 12694, 12699, 12704, 12705, 12709, 12713, 12715, 12720, 12724, 12725, 12749, 12752, 12755, 12761, 12766, 12778, 12779, 12780, 12784, 12787, 12788, 12789, 12791, 12798, 12801, 12803, 12808, 12810, 12811, 12813, 12814, 12819, 12826, 12827, 12828, 12829, 12833, 12845, 12850, 12852, 12855, 12859, 12860, 12872, 12873, 12874, 12876, 12879, 12883, 12885, 12886, 12887, 12888, 12889, 12891, 12898, 12907, 12911, 12913, 12918, 12923, 12924, 12939, 12944, 12946, 12947, 12957, 12959, 12961, 12964, 12966, 12967, 12968, 12969, 12970, 12972, 12973, 12979, 12982, 12983, 12997, 12998, 13000, 13003, 13004, 13007, 13008, 13009, 13010, 13014, 13015, 13019, 13020, 13028, 13044, 13062, 13064, 13065, 13066, 13067, 13082, 13084, 13085, 13086, 13088, 13091, 13093, 13099, 13104, 13108, 13112, 13116, 13117, 13121, 13123, 13125, 13127, 13134, 13142, 13152, 13167, 13174, 13175, 13178, 13184, 13187, 13194, 13196, 13198, 13200, 13202, 13203, 13208, 13214, 13219, 13226, 13229, 13233, 13240, 13244, 13245, 13246, 13248, 13250, 13254, 13265, 13268, 13270, 13271, 13275, 13278, 13279, 13283, 13286, 13287, 13289, 13290, 13293, 13302, 13303, 13305, 13307, 13310, 13316, 13319, 13321, 13323, 13326, 13330, 13342, 13343, 13352, 13356, 13361, 13374, 13383, 13388, 13395, 13396, 13400, 13402, 13404, 13415, 13419, 13425, 13434, 13436, 13439, 13444, 13445, 13451, 13452, 13454, 13460, 13461, 13465, 13467, 13469, 13476, 13490, 13494, 13502, 13507, 13510, 13514, 13520, 13522, 13525, 13533, 13537, 13541, 13544, 13556, 13558, 13561, 13564, 13566, 13572, 13573, 13575, 13577, 13580, 13584, 13589, 13593, 13596, 13598, 13604, 13605, 13607, 13609, 13616, 13618, 13621, 13623, 13624, 13625, 13637, 13644, 13658, 13662, 13665, 13675, 13680, 13686, 13688, 13693, 13699, 13700, 13709, 13711, 13713, 13716, 13718, 13723, 13727, 13728, 13732, 13742, 13747, 13748, 13751, 13754, 13757, 13759, 13760, 13762, 13777, 13778, 13780, 13789, 13795, 13798, 13807, 13811, 13813, 13816, 13821, 13822, 13828, 13832, 13836, 13843, 13847, 13849, 13850, 13851, 13854, 13855, 13866, 13867, 13868, 13871, 13874, 13876, 13881, 13892, 13893, 13895, 13898, 13903, 13910, 13916, 13917, 13918, 13919, 13930, 13933, 13938, 13939, 13942, 13943, 13946, 13949, 13950, 13952, 13954, 13955, 13958, 13959, 13964, 13969, 13972, 13974, 13977, 13978, 13981, 13983, 13991, 13996, 14006, 14008, 14010, 14013, 14017, 14022, 14026, 14027, 14029, 14035, 14039, 14044, 14046, 14049, 14051, 14056, 14067, 14073, 14079, 14082, 14084, 14089, 14091, 14092, 14101, 14103, 14105, 14111, 14112, 14119, 14124, 14129, 14142, 14145, 14148, 14149, 14154, 14157, 14159, 14160, 14161, 14167, 14169, 14170, 14172, 14175, 14178, 14185, 14195, 14199, 14200, 14201, 14209, 14211, 14216, 14217, 14224, 14229, 14233, 14235, 14238, 14241, 14246, 14247, 14249, 14254, 14262, 14263, 14265, 14269, 14272, 14277, 14281, 14283, 14284, 14290, 14307, 14315, 14317, 14319, 14324, 14328, 14331, 14336, 14340, 14341, 14347, 14349, 14356, 14360, 14364, 14367, 14369, 14370, 14380, 14392, 14401, 14405, 14408, 14413, 14417, 14418, 14422, 14425, 14426, 14428, 14432, 14449, 14454, 14457, 14459, 14460, 14478, 14485, 14488, 14490, 14493, 14496, 14497, 14501, 14506, 14520, 14521, 14530, 14532, 14541, 14543, 14544, 14545, 14546, 14557, 14559, 14569, 14576, 14577, 14579, 14584, 14589, 14591, 14594, 14603, 14606, 14610, 14615, 14619, 14623, 14624, 14625, 14633, 14638, 14647, 14653, 14662, 14673, 14675, 14681, 14682, 14683, 14684, 14687, 14688, 14689, 14694, 14698, 14703, 14707, 14716, 14724, 14728, 14731, 14733, 14734, 14737, 14740, 14741, 14764, 14768, 14773, 14776, 14780, 14782, 14791, 14798, 14799, 14801, 14805, 14806, 14810, 14817, 14818, 14819, 14823, 14828, 14837, 14839, 14840, 14844, 14845, 14846, 14851, 14863, 14865, 14867, 14868, 14871, 14879, 14888, 14891, 14894, 14897, 14901, 14902, 14909, 14910, 14913, 14914, 14916, 14917, 14918, 14922, 14923, 14924, 14925, 14928, 14933, 14934, 14939, 14945, 14947, 14948, 14949, 14950, 14951, 14952, 14955, 14963, 14968, 14971, 14973, 14975, 14976, 14977, 14980, 14987, 14988, 14990, 14994, 15003, 15004, 15005, 15008, 15012, 15013, 15014, 15015, 15026, 15027, 15028, 15029, 15030, 15036, 15038, 15047, 15056, 15058, 15063, 15064, 15068, 15069, 15070, 15077, 15086, 15087, 15088, 15094, 15096, 15099, 15102, 15108, 15110, 15116, 15122, 15125, 15129, 15130, 15135, 15139, 15146, 15150, 15152, 15153, 15157, 15166, 15169, 15174, 15177, 15183, 15187, 15191, 15192, 15193, 15198, 15199, 15207, 15210, 15211, 15218, 15226, 15228, 15230, 15236, 15242, 15245, 15249, 15250, 15255, 15259, 15261, 15267, 15269, 15277, 15284, 15286, 15287, 15301, 15305, 15306, 15308, 15312, 15313, 15316, 15318, 15319, 15322, 15325, 15326, 15331, 15334, 15339, 15341, 15343, 15350, 15351, 15360, 15361, 15363, 15366, 15368, 15369, 15370, 15371, 15380, 15385, 15388, 15391, 15401, 15405, 15412, 15420, 15422, 15424, 15425, 15428, 15429, 15432, 15433, 15434, 15439, 15441, 15444, 15445, 15447, 15452, 15454, 15459, 15465, 15469, 15475, 15476, 15482, 15483, 15494, 15495, 15513, 15518, 15522, 15529, 15530, 15531, 15533, 15535, 15536, 15543, 15547, 15548, 15551, 15554, 15555, 15556, 15563, 15565, 15573, 15574, 15579, 15590, 15599, 15600, 15602, 15603, 15604, 15605, 15607, 15610, 15614, 15616, 15627, 15629, 15632, 15634, 15637, 15638, 15639, 15640, 15641, 15642, 15651, 15652, 15656, 15659, 15661, 15662, 15663, 15666, 15668, 15689, 15691, 15694, 15696, 15708, 15711, 15713, 15714, 15718, 15726, 15730, 15731, 15733, 15735, 15737, 15738, 15740, 15743, 15751, 15752, 15753, 15755, 15757, 15763, 15764, 15770, 15773, 15779, 15790, 15793, 15798, 15799, 15803, 15808, 15811, 15815, 15826, 15833, 15834, 15844, 15845, 15849, 15855, 15856, 15857, 15864, 15865, 15873, 15878, 15883, 15885, 15886, 15892, 15895, 15897, 15900, 15908, 15910, 15913, 15914, 15916, 15918, 15920, 15921, 15929, 15932, 15934, 15936, 15939, 15940, 15944, 15947, 15952, 15957, 15958, 15969, 15979, 15980, 15987, 15989, 15991, 15993, 15995, 15998, 15999, 16002, 16003, 16005, 16006, 16007, 16015, 16024, 16029, 16035, 16037, 16041, 16050, 16051, 16053, 16057, 16059, 16061, 16065, 16066, 16067, 16069, 16074, 16078, 16086, 16087, 16090, 16092, 16093, 16098, 16099, 16106, 16110, 16112, 16113, 16117, 16119, 16120, 16121, 16123, 16125, 16133, 16134, 16136, 16139, 16148, 16151, 16155, 16159, 16164, 16165, 16166, 16168, 16173, 16174, 16178, 16181, 16182, 16192, 16193, 16194, 16195, 16198, 16201, 16202, 16207, 16219, 16220, 16221, 16223, 16228, 16235, 16241, 16242, 16245, 16246, 16258, 16259, 16262, 16268, 16269, 16274, 16278, 16282, 16289, 16294, 16295, 16298, 16300, 16302, 16305, 16306, 16307, 16317, 16319, 16320, 16322, 16329, 16333, 16336, 16337, 16341, 16346, 16348, 16353, 16355, 16356, 16358, 16360, 16368, 16374, 16378, 16382, 16384, 16388, 16390, 16395, 16400, 16405, 16406, 16410, 16418, 16420, 16424, 16428, 16442, 16446, 16447, 16453, 16457, 16462, 16465, 16471, 16486, 16487, 16489, 16493, 16495, 16496, 16499, 16500, 16501, 16514, 16520, 16524, 16527, 16529, 16539, 16541, 16543, 16544, 16546, 16547, 16555, 16556, 16557, 16560, 16561, 16564, 16565, 16570, 16582, 16585, 16586, 16590, 16592, 16600, 16601, 16604, 16609, 16614, 16616, 16618, 16619, 16626, 16628, 16630, 16632, 16643, 16646, 16649, 16651, 16654, 16655, 16656, 16657, 16660, 16663, 16664, 16678, 16681, 16682, 16691, 16695, 16710, 16711, 16713, 16715, 16720, 16732, 16735, 16741, 16742, 16746, 16748, 16750, 16751, 16753]
Gap-uri:
[9, 6, 3, 4, 1, 1, 5, 5, 6, 1, 2, 1, 2, 3, 3, 2, 1, 1, 3, 1, 10, 1, 1, 1, 2, 6, 7, 1, 1, 4, 1, 2, 13, 1, 2, 4, 2, 2, 1, 3, 2, 1, 4, 3, 4, 4, 1, 2, 2, 2, 1, 2, 4, 10, 10, 1, 3, 6, 2, 3, 1, 5, 1, 2, 2, 2, 4, 4, 1, 2, 2, 6, 16, 2, 1, 2, 4, 6, 1, 3, 4, 7, 12, 1, 2, 2, 1, 3, 6, 1, 3, 2, 1, 9, 7, 1, 9, 1, 2, 2, 3, 7, 2, 4, 11, 1, 2, 2, 7, 11, 2, 8, 1, 1, 3, 1, 6, 1, 1, 7, 1, 5, 1, 8, 1, 7, 1, 13, 2, 6, 1, 4, 2, 6, 11, 2, 1, 1, 2, 12, 4, 2, 3, 8, 8, 1, 1, 2, 4, 5, 15, 6, 1, 5, 3, 2, 3, 19, 2, 2, 2, 3, 1, 5, 12, 7, 3, 5, 7, 15, 9, 2, 1, 1, 5, 2, 2, 4, 5, 4, 1, 9, 2, 4, 11, 2, 2, 1, 2, 6, 6, 1, 5, 6, 2, 6, 6, 1, 9, 9, 6, 3, 1, 10, 3, 3, 2, 5, 1, 3, 4, 4, 4, 2, 1, 5, 9, 3, 9, 4, 14, 1, 2, 16, 4, 3, 2, 2, 3, 2, 1, 5, 2, 12, 2, 3, 5, 2, 3, 9, 1, 4, 1, 2, 6, 8, 4, 4, 11, 5, 5, 4, 3, 1, 6, 3, 3, 4, 2, 8, 7, 3, 2, 5, 5, 2, 1, 5, 3, 2, 6, 3, 2, 2, 1, 1, 5, 1, 7, 8, 2, 1, 1, 4, 4, 4, 1, 12, 3, 2, 15, 7, 4, 1, 4, 3, 4, 2, 2, 4, 9, 5, 2, 1, 3, 4, 1, 9, 3, 5, 2, 1, 1, 5, 5, 1, 11, 3, 3, 1, 1, 2, 5, 5, 3, 2, 4, 3, 4, 8, 1, 2, 7, 2, 6, 1, 3, 11, 4, 1, 2, 2, 1, 1, 16, 1, 1, 7, 7, 1, 2, 1, 3, 6, 3, 5, 8, 1, 5, 8, 4, 7, 2, 3, 1, 4, 1, 16, 7, 7, 1, 1, 5, 10, 3, 3, 4, 12, 3, 1, 1, 2, 3, 2, 5, 6, 4, 1, 3, 1, 5, 1, 5, 6, 3, 2, 1, 5, 3, 1, 3, 6, 2, 1, 2, 4, 1, 1, 1, 1, 4, 4, 14, 5, 4, 2, 7, 3, 5, 2, 2, 1, 8, 1, 3, 7, 6, 2, 1, 2, 3, 4, 5, 1, 8, 13, 8, 4, 5, 12, 1, 1, 1, 4, 7, 2, 5, 4, 1, 1, 4, 1, 9, 10, 3, 1, 7, 2, 7, 2, 2, 3, 3, 3, 3, 1, 1, 4, 1, 4, 2, 3, 1, 8, 9, 4, 1, 1, 2, 2, 2, 3, 6, 11, 3, 4, 3, 1, 2, 4, 2, 1, 3, 5, 1, 1, 2, 4, 1, 1, 2, 8, 9, 8, 4, 3, 11, 2, 3, 12, 10, 5, 2, 3, 6, 6, 3, 4, 1, 2, 4, 4, 2, 1, 3, 1, 4, 4, 3, 5, 1, 1, 3, 1, 1, 1, 4, 1, 2, 9, 11, 1, 7, 3, 3, 2, 4, 6, 2, 4, 2, 6, 4, 3, 1, 1, 5, 1, 6, 6, 3, 1, 2, 3, 3, 4, 14, 1, 1, 1, 2, 7, 1, 3, 5, 1, 1, 9, 2, 1, 4, 5, 1, 15, 1, 4, 9, 3, 7, 1, 1, 3, 5, 8, 2, 7, 1, 2, 9, 13, 2, 1, 1, 3, 2, 4, 2, 13, 1, 8, 7, 2, 4, 9, 13, 6, 2, 8, 2, 8, 2, 4, 2, 5, 1, 5, 1, 1, 1, 1, 1, 4, 1, 6, 10, 1, 1, 7, 3, 3, 2, 2, 5, 4, 12, 7, 4, 1, 7, 2, 1, 2, 4, 5, 6, 8, 2, 1, 15, 4, 3, 4, 3, 8, 3, 6, 4, 2, 3, 1, 3, 3, 5, 1, 4, 2, 1, 1, 5, 1, 14, 2, 6, 1, 2, 2, 4, 1, 9, 4, 4, 1, 11, 2, 1, 6, 1, 11, 2, 1, 7, 3, 2, 4, 3, 1, 1, 2, 2, 6, 2, 2, 7, 4, 3, 4, 1, 13, 1, 2, 3, 2, 2, 6, 1, 1, 5, 14, 5, 2, 1, 2, 3, 3, 1, 4, 1, 7, 3, 1, 8, 4, 3, 5, 5, 2, 1, 2, 3, 1, 2, 1, 4, 3, 2, 4, 2, 2, 5, 2, 1, 3, 1, 4, 1, 1, 2, 9, 4, 1, 5, 2, 2, 8, 9, 6, 3, 3, 2, 3, 14, 4, 8, 2, 1, 6, 6, 3, 1, 8, 7, 5, 1, 1, 1, 6, 1, 3, 4, 5, 4, 5, 13, 7, 5, 8, 1, 6, 1, 6, 6, 3, 1, 10, 1, 2, 4, 4, 7, 1, 1, 6, 9, 19, 2, 1, 1, 1, 1, 2, 2, 3, 2, 5, 3, 7, 1, 10, 10, 18, 1, 2, 1, 5, 10, 3, 4, 2, 1, 4, 2, 1, 2, 1, 4, 3, 2, 1, 6, 2, 11, 1, 2, 3, 1, 1, 3, 5, 1, 5, 2, 9, 7, 6, 18, 1, 6, 2, 3, 8, 4, 5, 9, 5, 1, 2, 8, 2, 13, 1, 1, 5, 2, 1, 5, 6, 7, 1, 1, 1, 2, 6, 2, 3, 3, 2, 2, 3, 6, 1, 8, 1, 2, 9, 3, 12, 6, 2, 1, 1, 2, 5, 4, 5, 3, 1, 8, 6, 2, 4, 2, 5, 3, 2, 3, 2, 1, 2, 1, 1, 4, 5, 4, 14, 2, 5, 7, 4, 1, 1, 5, 6, 5, 3, 3, 2, 2, 1, 2, 1, 8, 2, 1, 3, 1, 7, 2, 3, 2, 3, 4, 4, 12, 3, 1, 1, 10, 1, 3, 6, 3, 1, 5, 3, 6, 7, 5, 1, 1, 2, 9, 1, 4, 2, 2, 4, 6, 1, 9, 2, 1, 4, 4, 12, 1, 19, 6, 4, 12, 18, 1, 1, 8, 2, 2, 2, 6, 2, 1, 1, 4, 2, 7, 3, 3, 7, 1, 2, 13, 2, 1, 2, 1, 2, 1, 8, 1, 1, 20, 1, 1, 18, 3, 3, 3, 4, 3, 5, 4, 4, 2, 1, 8, 2, 2, 2, 6, 3, 1, 5, 1, 5, 1, 1, 4, 8, 1, 4, 2, 5, 3, 3, 2, 1, 7, 6, 4, 1, 1, 2, 2, 11, 6, 8, 2, 4, 2, 5, 2, 5, 9, 6, 3, 2, 7, 3, 1, 9, 3, 2, 1, 8, 1, 6, 3, 2, 3, 2, 2, 8, 2, 2, 3, 11, 1, 2, 8, 5, 1, 2, 7, 4, 2, 9, 13, 3, 6, 4, 6, 2, 2, 5, 4, 3, 23, 1, 3, 2, 1, 3, 2, 7, 7, 8, 2, 6, 7, 1, 2, 2, 1, 1, 1, 2, 2, 9, 2, 6, 6, 1, 6, 2, 2, 3, 5, 1, 2, 1, 1, 5, 4, 7, 1, 2, 3, 6, 2, 2, 3, 5, 1, 1, 3, 1, 6, 5, 8, 5, 4, 8, 1, 1, 2, 1, 1, 4, 3, 1, 3, 4, 4, 1, 1, 4, 3, 6, 2, 6, 8, 2, 1, 3, 1, 9, 2, 1, 19, 3, 5, 1, 1, 2, 1, 11, 2, 2, 5, 2, 1, 5, 1, 6, 1, 5, 1, 1, 3, 8, 10, 1, 1, 7, 4, 1, 2, 1, 1, 6, 3, 1, 1, 9, 1, 1, 8, 3, 3, 6, 4, 6, 3, 2, 2, 2, 4, 6, 7, 5, 1, 4, 1, 2, 4, 6, 7, 8, 1, 2, 1, 1, 3, 6, 1, 15, 10, 1, 1, 5, 4, 11, 3, 15, 2, 3, 6, 1, 5, 1, 3, 5, 2, 3, 1, 2, 11, 2, 1, 3, 12, 1, 2, 1, 6, 5, 1, 1, 2, 6, 4, 5, 3, 1, 5, 1, 1, 2, 6, 9, 4, 4, 2, 18, 2, 3, 2, 3, 6, 8, 5, 10, 1, 2, 4, 1, 2, 5, 4, 3, 1, 2, 6, 7, 4, 1, 3, 1, 3, 1, 5, 6, 8, 3, 1, 11, 1, 3, 14, 2, 4, 8, 4, 1, 3, 9, 3, 5, 2, 3, 3, 2, 1, 1, 3, 2, 1, 1, 3, 6, 6, 10, 3, 4, 6, 4, 1, 3, 5, 2, 2, 5, 6, 5, 3, 14, 1, 8, 4, 1, 3, 5, 1, 12, 4, 1, 7, 1, 4, 8, 20, 1, 8, 2, 3, 4, 2, 3, 1, 1, 8, 6, 5, 1, 3, 7, 2, 1, 1, 4, 4, 1, 5, 2, 1, 5, 3, 2, 2, 4, 1, 13, 7, 3, 6, 5, 2, 4, 7, 4, 12, 3, 9, 2, 8, 6, 16, 1, 4, 5, 10, 4, 4, 2, 6, 10, 5, 10, 2, 4, 11, 4, 9, 22, 2, 2, 5, 3, 7, 1, 4, 1, 3, 13, 2, 1, 14, 4, 3, 3, 1, 4, 1, 1, 6, 1, 1, 3, 2, 1, 1, 1, 6, 1, 1, 3, 6, 2, 2, 2, 7, 3, 3, 1, 6, 6, 18, 17, 4, 1, 1, 1, 2, 6, 5, 1, 1, 1, 4, 2, 3, 18, 1, 1, 3, 5, 1, 1, 1, 1, 1, 7, 3, 2, 3, 3, 3, 5, 7, 6, 1, 1, 1, 10, 2, 5, 2, 1, 6, 2, 1, 2, 2, 3, 3, 3, 4, 4, 4, 3, 5, 8, 1, 3, 18, 4, 4, 7, 1, 15, 5, 3, 3, 1, 1, 2, 2, 16, 4, 1, 1, 3, 2, 4, 4, 6, 1, 2, 2, 8, 2, 11, 1, 20, 1, 6, 7, 6, 3, 5, 6, 8, 1, 5, 1, 2, 10, 1, 4, 1, 2, 6, 1, 8, 4, 5, 2, 4, 1, 2, 3, 7, 7, 1, 1, 2, 2, 5, 3, 1, 1, 4, 1, 1, 1, 2, 10, 10, 3, 1, 4, 1, 4, 1, 1, 4, 1, 5, 4, 1, 5, 1, 12, 1, 8, 1, 1, 4, 8, 2, 6, 1, 5, 4, 1, 4, 4, 1, 4, 1, 4, 4, 5, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 1, 1, 4, 2, 1, 2, 7, 6, 5, 5, 6, 2, 3, 1, 7, 1, 6, 9, 5, 2, 3, 3, 2, 4, 2, 2, 5, 4, 1, 3, 1, 2, 4, 1, 1, 1, 2, 4, 4, 1, 8, 20, 1, 2, 1, 1, 3, 2, 1, 4, 1, 4, 10, 2, 5, 2, 2, 12, 5, 2, 4, 4, 2, 3, 5, 4, 3, 10, 6, 2, 2, 1, 3, 1, 7, 4, 8, 2, 2, 8, 4, 7, 1, 18, 11, 1, 2, 9, 5, 1, 13, 5, 4, 1, 4, 5, 2, 6, 1, 4, 6, 5, 10, 2, 1, 1, 8, 1, 1, 1, 2, 7, 3, 6, 4, 2, 2, 1, 2, 13, 7, 4, 1, 4, 2, 3, 9, 2, 3, 4, 3, 5, 5, 3, 1, 1, 3, 6, 2, 1, 8, 17, 8, 2, 1, 6, 1, 4, 5, 4, 4, 5, 2, 1, 3, 1, 3, 7, 3, 1, 3, 9, 3, 3, 2, 10, 1, 1, 9, 1, 2, 5, 2, 14, 1, 14, 4, 3, 3, 5, 3, 1, 2, 2, 1, 6, 4, 13, 3, 1, 1, 4, 5, 2, 4, 8, 8, 2, 1, 2, 6, 3, 3, 5, 2, 2, 1, 1, 2, 2, 1, 1, 20, 5, 1, 9, 3, 4, 5, 3, 3, 5, 5, 1, 5, 4, 1, 2, 2, 1, 1, 1, 3, 1, 7, 2, 1, 2, 6, 1, 3, 1, 7, 2, 1, 1, 3, 1, 3, 1, 12, 1, 2, 2, 9, 1, 4, 5, 2, 3, 4, 10, 1, 3, 3, 11, 1, 4, 1, 7, 1, 1, 3, 7, 1, 3, 2, 17, 2, 5, 1, 1, 4, 9, 1, 18, 1, 1, 6, 14, 2, 2, 10, 2, 3, 1, 2, 3, 1, 1, 1, 1, 5, 7, 6, 4, 2, 4, 1, 6, 2, 5, 1, 3, 2, 3, 1, 6, 4, 2, 2, 1, 2, 2, 3, 5, 3, 2, 16, 2, 2, 1, 6, 4, 1, 2, 4, 4, 2, 3, 3, 1, 2, 7, 8, 1, 2, 1, 2, 5, 4, 1, 1, 4, 7, 12, 6, 1, 2, 2, 4, 8, 2, 7, 4, 2, 3, 1, 3, 2, 18, 8, 2, 1, 3, 2, 1, 3, 6, 1, 1, 5, 14, 4, 6, 1, 1, 5, 3, 2, 4, 12, 4, 1, 1, 2, 2, 1, 2, 3, 1, 1, 4, 3, 1, 2, 2, 9, 6, 8, 1, 3, 3, 3, 5, 9, 2, 1, 7, 9, 1, 6, 3, 6, 3, 7, 7, 7, 12, 1, 1, 3, 1, 4, 1, 7, 3, 3, 1, 8, 3, 6, 1, 3, 1, 3, 3, 2, 11, 1, 1, 7, 17, 5, 4, 2, 2, 11, 2, 2, 2, 2, 3, 5, 16, 2, 1, 4, 3, 5, 2, 2, 1, 1, 3, 2, 1, 6, 4, 1, 3, 3, 3, 6, 4, 6, 2, 1, 3, 1, 7, 11, 2, 1, 7, 3, 2, 4, 2, 3, 5, 5, 2, 7, 13, 9, 2, 7, 4, 3, 2, 3, 3, 11, 2, 1, 4, 1, 2, 3, 4, 7, 1, 8, 1, 3, 3, 5, 10, 4, 1, 3, 2, 4, 5, 5, 1, 1, 4, 9, 2, 4, 2, 8, 4, 2, 2, 2, 9, 16, 1, 1, 12, 2, 2, 1, 1, 1, 5, 2, 10, 4, 3, 2, 1, 10, 4, 3, 1, 6, 1, 3, 9, 1, 5, 2, 8, 1, 2, 2, 3, 3, 5, 5, 3, 24, 6, 1, 1, 13, 3, 1, 7, 7, 1, 2, 2, 10, 4, 5, 3, 14, 2, 4, 5, 1, 5, 3, 4, 2, 4, 9, 6, 7, 7, 3, 6, 3, 11, 3, 7, 1, 4, 16, 1, 3, 2, 6, 10, 2, 15, 16, 2, 5, 4, 4, 1, 3, 5, 2, 1, 1, 5, 2, 3, 8, 3, 8, 6, 3, 1, 3, 1, 9, 3, 7, 2, 3, 4, 4, 2, 1, 1, 6, 1, 3, 5, 1, 1, 9, 1, 5, 7, 6, 2, 10, 4, 6, 4, 6, 1, 3, 5, 1, 9, 3, 3, 2, 3, 1, 2, 17, 6, 2, 2, 2, 1, 4, 4, 2, 2, 2, 12, 6, 4, 4, 2, 3, 2, 2, 2, 2, 1, 5, 4, 2, 4, 6, 1, 1, 2, 3, 2, 8, 2, 2, 1, 1, 8, 2, 2, 3, 6, 5, 2, 1, 7, 10, 8, 1, 11, 5, 3, 5, 5, 10, 3, 2, 6, 4, 4, 2, 3, 2, 3, 2, 3, 3, 1, 11, 14, 9, 6, 2, 7, 5, 1, 2, 2, 6, 9, 4, 7, 14, 2, 6, 6, 1, 2, 3, 4, 3, 11, 1, 5, 1, 1, 1, 1, 2, 1, 5, 13, 2, 6, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 5, 6, 2, 3, 5, 2, 11, 6, 11, 3, 4, 1, 7, 13, 1, 2, 8, 3, 4, 2, 1, 7, 1, 16, 8, 2, 6, 5, 3, 2, 3, 6, 8, 11, 1, 4, 7, 4, 3, 9, 1, 4, 1, 5, 19, 1, 6, 5, 1, 3, 3, 2, 1, 8, 11, 5, 9, 11, 4, 11, 6, 16, 3, 2, 1, 3, 5, 8, 2, 16, 5, 2, 3, 5, 4, 1, 1, 2, 5, 3, 6, 2, 2, 2, 8, 1, 2, 4, 3, 10, 8, 5, 1, 8, 3, 1, 10, 2, 3, 6, 1, 4, 6, 8, 1, 1, 3, 26, 5, 7, 1, 14, 2, 1, 2, 4, 2, 9, 10, 5, 9, 2, 3, 1, 3, 1, 4, 6, 8, 4, 1, 9, 2, 3, 2, 5, 2, 5, 8, 8, 3, 1, 2, 1, 5, 3, 1, 7, 4, 7, 6, 1, 3, 7, 6, 5, 1, 7, 14, 4, 1, 3, 1, 1, 3, 1, 4, 1, 1, 2, 2, 1, 2, 4, 5, 2, 2, 1, 5, 11, 1, 1, 2, 2, 2, 10, 6, 8, 6, 5, 5, 2, 6, 1, 4, 3, 5, 3, 2, 7, 1, 4, 2, 2, 1, 1, 3, 13, 1, 3, 1, 5, 2, 3, 7, 1, 12, 7, 4, 5, 8, 6, 1, 4, 1, 1, 4, 1, 4, 2, 1, 5, 3, 1, 2, 17, 1, 2, 1, 2, 21, 1, 1, 3, 3, 2, 1, 2, 3, 3, 10, 2, 3, 1, 1, 3, 4, 2, 7, 6, 3, 1, 3, 1, 2, 3, 4, 10, 1, 3, 1, 5, 3, 6, 1, 1, 3, 5, 1, 3, 1, 1, 9, 6, 2, 1, 8, 5, 2, 1, 2, 1, 14, 4, 4, 6, 8, 1, 6, 2, 8, 3, 2, 5, 1, 9, 4, 11, 3, 5, 4, 4, 3, 1, 3, 3, 1, 3, 2, 2, 4, 8, 6, 10, 18, 4, 1, 2, 7, 3, 5, 1, 1, 10, 1, 1, 1, 3, 3, 1, 7, 3, 2, 3, 3, 2, 3, 13, 8, 4, 10, 4, 1, 4, 9, 1, 7, 3, 3, 3, 4, 6, 1, 2, 1, 1, 11, 1, 3, 18, 2, 8, 3, 1, 5, 1, 4, 6, 5, 1, 5, 9, 2, 2, 4, 2, 3, 1, 4, 5, 3, 6, 3, 5, 2, 2, 2, 2, 2, 1, 2, 15, 5, 1, 1, 2, 5, 5, 5, 5, 4, 4, 1, 1, 2, 6, 2, 1, 2, 2, 1, 4, 8, 5, 1, 1, 4, 5, 4, 4, 4, 1, 1, 2, 4, 3, 6, 5, 1, 4, 1, 1, 4, 3, 2, 5, 3, 10, 1, 2, 1, 1, 1, 3, 4, 1, 2, 5, 6, 2, 9, 3, 5, 5, 11, 9, 1, 3, 2, 1, 1, 1, 2, 4, 14, 4, 2, 8, 3, 1, 3, 3, 3, 1, 6, 1, 5, 5, 7, 14, 11, 6, 2, 10, 9, 5, 6, 7, 5, 11, 3, 1, 5, 2, 4, 7, 1, 4, 1, 4, 17, 4, 2, 1, 6, 1, 3, 5, 3, 3, 1, 1, 1, 8, 5, 4, 3, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 7, 2, 10, 2, 1, 1, 2, 4, 7, 1, 3, 14, 9, 1, 1, 2, 1, 5, 4, 11, 1, 1, 2, 1, 3, 3, 1, 7, 1, 2, 2, 2, 6, 3, 3, 2, 1, 6, 6, 4, 4, 2, 1, 2, 2, 1, 2, 4, 4, 4, 2, 4, 2, 1, 6, 1, 2, 5, 9, 1, 7, 1, 4, 3, 4, 4, 5, 2, 1, 1, 1, 6, 2, 7, 1, 5, 2, 6, 9, 2, 1, 6, 1, 3, 12, 1, 7, 6, 2, 1, 3, 7, 3, 1, 2, 1, 1, 6, 5, 1, 7, 1, 6, 2, 1, 3, 3, 13, 1, 2, 1, 7, 1, 5, 2, 8, 1, 1, 1, 1, 1, 10, 1, 2, 3, 8, 1, 5, 2, 17, 2, 4, 2, 4, 2, 2, 1, 3, 13, 2, 2, 1, 1, 5, 5, 2, 10, 11, 4, 6, 1, 4, 3, 5, 5, 1, 4, 4, 2, 5, 4, 1, 24, 3, 3, 6, 5, 12, 1, 1, 4, 3, 1, 1, 2, 7, 3, 2, 5, 2, 1, 2, 1, 5, 7, 1, 1, 1, 4, 12, 5, 2, 3, 4, 1, 12, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 2, 7, 9, 4, 2, 5, 5, 1, 15, 5, 2, 1, 10, 2, 2, 3, 2, 1, 1, 1, 1, 2, 1, 6, 3, 1, 14, 1, 2, 3, 1, 3, 1, 1, 1, 4, 1, 4, 1, 8, 16, 18, 2, 1, 1, 1, 15, 2, 1, 1, 2, 3, 2, 6, 5, 4, 4, 4, 1, 4, 2, 2, 2, 7, 8, 10, 15, 7, 1, 3, 6, 3, 7, 2, 2, 2, 2, 1, 5, 6, 5, 7, 3, 4, 7, 4, 1, 1, 2, 2, 4, 11, 3, 2, 1, 4, 3, 1, 4, 3, 1, 2, 1, 3, 9, 1, 2, 2, 3, 6, 3, 2, 2, 3, 4, 12, 1, 9, 4, 5, 13, 9, 5, 7, 1, 4, 2, 2, 11, 4, 6, 9, 2, 3, 5, 1, 6, 1, 2, 6, 1, 4, 2, 2, 7, 14, 4, 8, 5, 3, 4, 6, 2, 3, 8, 4, 4, 3, 12, 2, 3, 3, 2, 6, 1, 2, 2, 3, 4, 5, 4, 3, 2, 6, 1, 2, 2, 7, 2, 3, 2, 1, 1, 12, 7, 14, 4, 3, 10, 5, 6, 2, 5, 6, 1, 9, 2, 2, 3, 2, 5, 4, 1, 4, 10, 5, 1, 3, 3, 3, 2, 1, 2, 15, 1, 2, 9, 6, 3, 9, 4, 2, 3, 5, 1, 6, 4, 4, 7, 4, 2, 1, 1, 3, 1, 11, 1, 1, 3, 3, 2, 5, 11, 1, 2, 3, 5, 7, 6, 1, 1, 1, 11, 3, 5, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 1, 5, 5, 3, 2, 3, 1, 3, 2, 8, 5, 10, 2, 2, 3, 4, 5, 4, 1, 2, 6, 4, 5, 2, 3, 2, 5, 11, 6, 6, 3, 2, 5, 2, 1, 9, 2, 2, 6, 1, 7, 5, 5, 13, 3, 3, 1, 5, 3, 2, 1, 1, 6, 2, 1, 2, 3, 3, 7, 10, 4, 1, 1, 8, 2, 5, 1, 7, 5, 4, 2, 3, 3, 5, 1, 2, 5, 8, 1, 2, 4, 3, 5, 4, 2, 1, 6, 17, 8, 2, 2, 5, 4, 3, 5, 4, 1, 6, 2, 7, 4, 4, 3, 2, 1, 10, 12, 9, 4, 3, 5, 4, 1, 4, 3, 1, 2, 4, 17, 5, 3, 2, 1, 18, 7, 3, 2, 3, 3, 1, 4, 5, 14, 1, 9, 2, 9, 2, 1, 1, 1, 11, 2, 10, 7, 1, 2, 5, 5, 2, 3, 9, 3, 4, 5, 4, 4, 1, 1, 8, 5, 9, 6, 9, 11, 2, 6, 1, 1, 1, 3, 1, 1, 5, 4, 5, 4, 9, 8, 4, 3, 2, 1, 3, 3, 1, 23, 4, 5, 3, 4, 2, 9, 7, 1, 2, 4, 1, 4, 7, 1, 1, 4, 5, 9, 2, 1, 4, 1, 1, 5, 12, 2, 2, 1, 3, 8, 9, 3, 3, 3, 4, 1, 7, 1, 3, 1, 2, 1, 1, 4, 1, 1, 1, 3, 5, 1, 5, 6, 2, 1, 1, 1, 1, 1, 3, 8, 5, 3, 2, 2, 1, 1, 3, 7, 1, 2, 4, 9, 1, 1, 3, 4, 1, 1, 1, 11, 1, 1, 1, 1, 6, 2, 9, 9, 2, 5, 1, 4, 1, 1, 7, 9, 1, 1, 6, 2, 3, 3, 6, 2, 6, 6, 3, 4, 1, 5, 4, 7, 4, 2, 1, 4, 9, 3, 5, 3, 6, 4, 4, 1, 1, 5, 1, 8, 3, 1, 7, 8, 2, 2, 6, 6, 3, 4, 1, 5, 4, 2, 6, 2, 8, 7, 2, 1, 14, 4, 1, 2, 4, 1, 3, 2, 1, 3, 3, 1, 5, 3, 5, 2, 2, 7, 1, 9, 1, 2, 3, 2, 1, 1, 1, 9, 5, 3, 3, 10, 4, 7, 8, 2, 2, 1, 3, 1, 3, 1, 1, 5, 2, 3, 1, 2, 5, 2, 5, 6, 4, 6, 1, 6, 1, 11, 1, 18, 5, 4, 7, 1, 1, 2, 2, 1, 7, 4, 1, 3, 3, 1, 1, 7, 2, 8, 1, 5, 11, 9, 1, 2, 1, 1, 1, 2, 3, 4, 2, 11, 2, 3, 2, 3, 1, 1, 1, 1, 1, 9, 1, 4, 3, 2, 1, 1, 3, 2, 21, 2, 3, 2, 12, 3, 2, 1, 4, 8, 4, 1, 2, 2, 2, 1, 2, 3, 8, 1, 1, 2, 2, 6, 1, 6, 3, 6, 11, 3, 5, 1, 4, 5, 3, 4, 11, 7, 1, 10, 1, 4, 6, 1, 1, 7, 1, 8, 5, 5, 2, 1, 6, 3, 2, 3, 8, 2, 3, 1, 2, 2, 2, 1, 8, 3, 2, 2, 3, 1, 4, 3, 5, 5, 1, 11, 10, 1, 7, 2, 2, 2, 2, 3, 1, 3, 1, 2, 1, 1, 8, 9, 5, 6, 2, 4, 9, 1, 2, 4, 2, 2, 4, 1, 1, 2, 5, 4, 8, 1, 3, 2, 1, 5, 1, 7, 4, 2, 1, 4, 2, 1, 1, 2, 2, 8, 1, 2, 3, 9, 3, 4, 4, 5, 1, 1, 2, 5, 1, 4, 3, 1, 10, 1, 1, 1, 3, 3, 1, 5, 12, 1, 1, 2, 5, 7, 6, 1, 3, 1, 12, 1, 3, 6, 1, 5, 4, 4, 7, 5, 1, 3, 2, 2, 3, 1, 1, 10, 2, 1, 2, 7, 4, 3, 1, 4, 5, 2, 5, 2, 1, 2, 2, 8, 6, 4, 4, 2, 4, 2, 5, 5, 5, 1, 4, 8, 2, 4, 4, 14, 4, 1, 6, 4, 5, 3, 6, 15, 1, 2, 4, 2, 1, 3, 1, 1, 13, 6, 4, 3, 2, 10, 2, 2, 1, 2, 1, 8, 1, 1, 3, 1, 3, 1, 5, 12, 3, 1, 4, 2, 8, 1, 3, 5, 5, 2, 2, 1, 7, 2, 2, 2, 11, 3, 3, 2, 3, 1, 1, 1, 3, 3, 1, 14, 3, 1, 9, 4, 15, 1, 2, 2, 5, 12, 3, 6, 1, 4, 2, 2, 1, 2]