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
24,305,234 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: dow_aware
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 #44 = {45} random

Descriptive

Apariții
4192
Mean ± std
4 ± 3.37
CV (std/mean)
0.842
Min/Max gap
1 / 33
Last seen
16750 (gap actual: 4)

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)
33
Autocorrelation lag-1
-0.019
Drift (h2-h1)
-0.08
Best period T
T=24 (entropy=0.001)

Overdue Status

Current gap
4
vs mean (z-score)
0 σ
vs P95
0.36x

Statistical Test (Chi-square)

chi²
450.28
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2934 / 1258 apariții
Mean train
4.03
MAE
2.42
Accuracy
40.1%
Erori per pred
[3,3,3,0,5,4,3,0,0,2,0,1,1,2,3,4,2,3,1,6,1,13,3,2,2,3,2,3,1,1,1,1,4,8,1,3,1,2,2,0,2,3,1,3,2,3,2,3,3,3,2,1,4,0,3,2,3,2,0,0,6,1,3,3,2,2,3,1,0,0,3,2,2,3,3,2,1,2,0,2,1,1,3,3,1,3,6,0,1,6,1,3,1,1,2,3,2,2,2,1,3,2,1,0,3,2,2,9,1,2,1,1,2,2,1,2,7,1,7,1,5,3,3,1,3,4,3,0,2,1,1,3,3,0,2,6,7,1,3,1,0,2,7,1,3,0,1,2,3,3,3,1,3,3,3,1,3,3,1,2,1,6,3,3,3,2,2,2,3,1,3,2,1,2,2,2,3,3,2,0,2,2,0,5,2,9,2,1,0,3,1,4,2,0,1,0,3,2,1,2,1,2,1,3,2,2,4,3,3,0,3,8,1,15,0,1,2,1,1,3,3,1,2,5,2,3,7,2,3,3,0,2,2,2,2,3,0,1,2,4,2,1,3,3,2,3,6,3,2,1,3,1,9,0,0,3,1,3,3,11,2,3,3,2,3,1,2,9,0,2,3,3,2,0,2,3,2,2,1,3,2,1,3,3,1,1,2,1,3,2,1,3,2,2,1,1,2,2,5,3,2,1,3,3,3,3,16,7,1,1,1,3,3,2,2,1,2,1,3,1,1,1,5,0,3,3,1,3,0,3,3,3,2,2,0,1,9,1,7,1,2,0,2,3,2,0,0,3,1,0,0,6,2,2,3,2,3,1,3,0,3,3,1,15,2,0,3,0,1,6,0,0,3,3,3,2,2,1,3,1,6,0,0,3,0,2,2,1,5,0,3,3,0,2,3,3,1,4,3,2,10,1,3,1,3,3,9,3,2,1,2,2,3,3,3,3,0,1,2,3,0,2,4,3,3,1,3,3,1,1,2,5,2,1,1,3,0,8,3,2,3,3,3,3,3,2,2,7,3,2,3,4,6,2,5,3,1,5,0,0,8,3,3,1,2,4,1,3,1,3,3,0,1,3,2,4,3,2,3,6,3,3,3,2,4,1,1,2,3,2,0,4,8,6,2,1,1,2,1,1,3,4,3,2,3,1,1,1,3,0,1,1,3,3,3,3,3,2,2,4,0,1,3,0,0,2,5,1,1,1,5,3,0,3,14,3,3,1,5,3,2,2,4,1,5,3,4,2,2,2,0,3,3,1,3,2,3,6,0,3,10,0,2,4,4,1,0,3,1,1,1,0,3,2,2,2,3,12,0,1,8,0,1,1,2,0,0,8,1,2,0,1,1,3,3,3,3,3,5,2,3,3,3,6,3,1,1,2,3,2,2,2,1,1,3,2,3,7,2,1,3,3,0,3,3,1,1,2,2,3,2,3,1,4,2,0,0,1,7,3,1,2,0,9,3,0,3,3,2,14,1,3,4,2,6,2,2,2,3,3,4,3,2,3,3,3,0,1,3,1,2,3,3,0,2,1,1,5,2,2,3,3,4,7,3,1,1,1,1,0,2,1,3,0,7,3,4,1,3,3,2,3,3,0,5,3,3,3,5,5,2,3,2,3,0,0,12,2,12,2,2,1,2,2,0,1,1,0,2,2,3,1,2,4,2,1,3,2,2,2,2,0,1,0,0,2,2,4,3,1,3,10,0,2,1,2,3,0,1,4,1,0,2,0,3,3,7,3,3,3,2,2,3,1,2,2,3,0,3,0,3,2,1,0,2,3,3,3,3,3,3,3,3,5,6,3,2,3,2,3,2,1,3,0,3,1,3,2,4,2,2,3,3,2,2,2,3,0,0,3,0,1,2,7,0,2,3,3,2,3,1,3,1,3,6,3,1,1,1,1,3,3,2,0,5,6,2,3,1,3,2,5,1,1,2,3,2,1,1,4,2,1,3,3,0,3,1,3,3,1,3,3,2,2,2,1,1,1,3,0,2,2,2,0,0,4,1,3,3,1,3,6,3,2,2,3,0,0,3,3,3,2,1,3,1,3,0,1,0,1,3,2,1,0,1,2,1,3,2,2,2,3,2,2,7,2,3,3,3,3,4,1,0,1,2,3,3,2,3,2,3,1,0,2,3,3,2,1,7,1,2,4,0,9,2,6,3,3,1,3,3,3,2,3,3,1,1,1,0,2,5,3,1,1,1,2,1,0,2,1,0,3,1,3,3,1,0,3,11,0,3,1,5,2,1,2,7,3,2,2,1,4,2,3,4,3,1,0,2,3,0,3,2,3,2,3,4,1,3,3,1,0,3,6,2,7,3,3,1,3,1,2,0,3,0,1,1,2,0,7,1,1,1,1,0,3,2,2,3,3,0,3,8,0,1,3,0,2,2,2,6,2,2,1,2,3,13,1,3,6,1,3,3,3,6,0,0,2,3,2,2,3,3,3,5,1,3,3,1,4,3,2,0,4,3,5,3,3,3,2,3,3,1,1,3,3,3,3,1,4,1,3,4,8,1,2,2,4,2,1,3,1,1,0,4,2,1,6,3,1,3,7,0,3,4,13,1,1,2,3,3,3,2,7,1,3,4,2,1,4,2,3,3,10,1,3,1,3,3,1,9,1,2,1,1,0,4,2,2,2,1,0,1,1,3,4,3,2,2,0,4,3,3,3,5,1,2,3,2,3,2,1,3,0,2,3,0,2,3,3,1,1,0,3,3,1,1,2,1,0,1,2,2,0,3,3,4,1,1,1,1,1,2,3,4,1,2,2,2,1,4,0,2,6,1,1,2,3,2,2,3,3,0,0,9,1,3,1,1,0,3,2,1,1,2,2,3,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.579
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.401
Total: 57.5%

🎯 Predicție următoarea apariție

Most likely
draw #16755
±1 sigma window
[16755..16757]
P25-P95 window
[16755..16761]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 28 apariții Extrageri 84-167: 25 apariții Extrageri 168-251: 20 apariții Extrageri 252-335: 20 apariții Extrageri 336-418: 30 apariții Extrageri 419-502: 21 apariții Extrageri 503-586: 19 apariții Extrageri 587-670: 15 apariții Extrageri 671-753: 20 apariții Extrageri 754-837: 20 apariții Extrageri 838-921: 21 apariții Extrageri 922-1005: 18 apariții Extrageri 1006-1089: 22 apariții Extrageri 1090-1172: 16 apariții Extrageri 1173-1256: 18 apariții Extrageri 1257-1340: 22 apariții Extrageri 1341-1424: 24 apariții Extrageri 1425-1507: 17 apariții Extrageri 1508-1591: 18 apariții Extrageri 1592-1675: 24 apariții Extrageri 1676-1759: 18 apariții Extrageri 1760-1842: 19 apariții Extrageri 1843-1926: 24 apariții Extrageri 1927-2010: 27 apariții Extrageri 2011-2094: 9 apariții Extrageri 2095-2178: 19 apariții Extrageri 2179-2261: 20 apariții Extrageri 2262-2345: 25 apariții Extrageri 2346-2429: 21 apariții Extrageri 2430-2513: 17 apariții Extrageri 2514-2596: 20 apariții Extrageri 2597-2680: 19 apariții Extrageri 2681-2764: 24 apariții Extrageri 2765-2848: 21 apariții Extrageri 2849-2931: 26 apariții Extrageri 2932-3015: 19 apariții Extrageri 3016-3099: 20 apariții Extrageri 3100-3183: 20 apariții Extrageri 3184-3267: 19 apariții Extrageri 3268-3350: 20 apariții Extrageri 3351-3434: 26 apariții Extrageri 3435-3518: 19 apariții Extrageri 3519-3602: 15 apariții Extrageri 3603-3685: 22 apariții Extrageri 3686-3769: 19 apariții Extrageri 3770-3853: 23 apariții Extrageri 3854-3937: 19 apariții Extrageri 3938-4020: 24 apariții Extrageri 4021-4104: 18 apariții Extrageri 4105-4188: 20 apariții Extrageri 4189-4272: 24 apariții Extrageri 4273-4356: 21 apariții Extrageri 4357-4439: 22 apariții Extrageri 4440-4523: 21 apariții Extrageri 4524-4607: 15 apariții Extrageri 4608-4691: 18 apariții Extrageri 4692-4774: 20 apariții Extrageri 4775-4858: 14 apariții Extrageri 4859-4942: 23 apariții Extrageri 4943-5026: 21 apariții Extrageri 5027-5109: 17 apariții Extrageri 5110-5193: 13 apariții Extrageri 5194-5277: 24 apariții Extrageri 5278-5361: 20 apariții Extrageri 5362-5445: 19 apariții Extrageri 5446-5528: 25 apariții Extrageri 5529-5612: 26 apariții Extrageri 5613-5696: 23 apariții Extrageri 5697-5780: 27 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 18 apariții Extrageri 5948-6031: 19 apariții Extrageri 6032-6115: 24 apariții Extrageri 6116-6198: 24 apariții Extrageri 6199-6282: 15 apariții Extrageri 6283-6366: 14 apariții Extrageri 6367-6450: 23 apariții Extrageri 6451-6534: 18 apariții Extrageri 6535-6617: 24 apariții Extrageri 6618-6701: 21 apariții Extrageri 6702-6785: 21 apariții Extrageri 6786-6869: 21 apariții Extrageri 6870-6952: 18 apariții Extrageri 6953-7036: 17 apariții Extrageri 7037-7120: 26 apariții Extrageri 7121-7204: 18 apariții Extrageri 7205-7287: 27 apariții Extrageri 7288-7371: 25 apariții Extrageri 7372-7455: 28 apariții Extrageri 7456-7539: 24 apariții Extrageri 7540-7623: 21 apariții Extrageri 7624-7706: 13 apariții Extrageri 7707-7790: 19 apariții Extrageri 7791-7874: 22 apariții Extrageri 7875-7958: 24 apariții Extrageri 7959-8041: 19 apariții Extrageri 8042-8125: 19 apariții Extrageri 8126-8209: 23 apariții Extrageri 8210-8293: 23 apariții Extrageri 8294-8377: 24 apariții Extrageri 8378-8460: 20 apariții Extrageri 8461-8544: 27 apariții Extrageri 8545-8628: 20 apariții Extrageri 8629-8712: 21 apariții Extrageri 8713-8795: 22 apariții Extrageri 8796-8879: 14 apariții Extrageri 8880-8963: 17 apariții Extrageri 8964-9047: 20 apariții Extrageri 9048-9130: 20 apariții Extrageri 9131-9214: 22 apariții Extrageri 9215-9298: 18 apariții Extrageri 9299-9382: 26 apariții Extrageri 9383-9466: 23 apariții Extrageri 9467-9549: 22 apariții Extrageri 9550-9633: 17 apariții Extrageri 9634-9717: 24 apariții Extrageri 9718-9801: 23 apariții Extrageri 9802-9884: 25 apariții Extrageri 9885-9968: 15 apariții Extrageri 9969-10052: 18 apariții Extrageri 10053-10136: 11 apariții Extrageri 10137-10219: 18 apariții Extrageri 10220-10303: 20 apariții Extrageri 10304-10387: 18 apariții Extrageri 10388-10471: 27 apariții Extrageri 10472-10555: 24 apariții Extrageri 10556-10638: 24 apariții Extrageri 10639-10722: 21 apariții Extrageri 10723-10806: 27 apariții Extrageri 10807-10890: 26 apariții Extrageri 10891-10973: 18 apariții Extrageri 10974-11057: 14 apariții Extrageri 11058-11141: 26 apariții Extrageri 11142-11225: 24 apariții Extrageri 11226-11308: 18 apariții Extrageri 11309-11392: 22 apariții Extrageri 11393-11476: 18 apariții Extrageri 11477-11560: 19 apariții Extrageri 11561-11644: 21 apariții Extrageri 11645-11727: 24 apariții Extrageri 11728-11811: 21 apariții Extrageri 11812-11895: 21 apariții Extrageri 11896-11979: 16 apariții Extrageri 11980-12062: 27 apariții Extrageri 12063-12146: 24 apariții Extrageri 12147-12230: 20 apariții Extrageri 12231-12314: 16 apariții Extrageri 12315-12397: 22 apariții Extrageri 12398-12481: 19 apariții Extrageri 12482-12565: 26 apariții Extrageri 12566-12649: 23 apariții Extrageri 12650-12733: 14 apariții Extrageri 12734-12816: 23 apariții Extrageri 12817-12900: 20 apariții Extrageri 12901-12984: 28 apariții Extrageri 12985-13068: 18 apariții Extrageri 13069-13151: 23 apariții Extrageri 13152-13235: 18 apariții Extrageri 13236-13319: 19 apariții Extrageri 13320-13403: 24 apariții Extrageri 13404-13486: 25 apariții Extrageri 13487-13570: 29 apariții Extrageri 13571-13654: 15 apariții Extrageri 13655-13738: 22 apariții Extrageri 13739-13822: 21 apariții Extrageri 13823-13905: 19 apariții Extrageri 13906-13989: 16 apariții Extrageri 13990-14073: 18 apariții Extrageri 14074-14157: 18 apariții Extrageri 14158-14240: 19 apariții Extrageri 14241-14324: 27 apariții Extrageri 14325-14408: 20 apariții Extrageri 14409-14492: 19 apariții Extrageri 14493-14575: 19 apariții Extrageri 14576-14659: 20 apariții Extrageri 14660-14743: 15 apariții Extrageri 14744-14827: 28 apariții Extrageri 14828-14911: 21 apariții Extrageri 14912-14994: 26 apariții Extrageri 14995-15078: 28 apariții Extrageri 15079-15162: 22 apariții Extrageri 15163-15246: 22 apariții Extrageri 15247-15329: 25 apariții Extrageri 15330-15413: 27 apariții Extrageri 15414-15497: 23 apariții Extrageri 15498-15581: 16 apariții Extrageri 15582-15664: 28 apariții Extrageri 15665-15748: 19 apariții Extrageri 15749-15832: 23 apariții Extrageri 15833-15916: 22 apariții Extrageri 15917-16000: 17 apariții Extrageri 16001-16083: 20 apariții Extrageri 16084-16167: 26 apariții Extrageri 16168-16251: 16 apariții Extrageri 16252-16335: 18 apariții Extrageri 16336-16418: 19 apariții Extrageri 16419-16502: 20 apariții Extrageri 16503-16586: 27 apariții Extrageri 16587-16670: 21 apariții Extrageri 16671-16754: 25 apariții 0 4189 8377 12566 16754 mean=21/bin max=30 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 apariții/bin).
Combinația are 4,192 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):
[3, 5, 6, 9, 15, 16, 18, 22, 25, 33, 34, 38, 39, 42, 44, 48, 50, 53, 55, 63, 64, 65, 69, 70, 72, 75, 77, 81, 95, 100, 102, 104, 115, 116, 118, 119, 123, 125, 130, 132, 133, 135, 137, 141, 142, 148, 149, 150, 157, 158, 162, 164, 165, 169, 171, 190, 195, 198, 200, 201, 202, 203, 204, 212, 216, 225, 227, 228, 234, 235, 237, 245, 249, 262, 264, 270, 272, 273, 277, 282, 284, 287, 292, 295, 297, 298, 299, 312, 321, 324, 327, 334, 336, 337, 341, 343, 344, 346, 347, 350, 357, 359, 361, 363, 365, 366, 367, 368, 374, 375, 378, 379, 381, 385, 387, 388, 391, 393, 396, 398, 403, 409, 418, 422, 424, 427, 433, 434, 443, 449, 455, 456, 458, 459, 463, 470, 481, 483, 485, 486, 489, 490, 495, 498, 505, 513, 515, 517, 519, 530, 537, 546, 549, 554, 556, 557, 561, 569, 573, 575, 576, 577, 581, 597, 602, 605, 607, 613, 617, 620, 624, 625, 629, 640, 641, 658, 659, 660, 676, 679, 682, 685, 690, 692, 694, 696, 697, 698, 702, 709, 714, 716, 717, 723, 728, 738, 740, 743, 757, 761, 765, 766, 769, 771, 778, 779, 780, 782, 785, 791, 794, 807, 813, 822, 826, 829, 830, 838, 846, 851, 855, 861, 864, 865, 879, 884, 887, 888, 890, 893, 895, 896, 900, 901, 904, 912, 913, 919, 920, 927, 930, 932, 935, 941, 943, 952, 956, 974, 975, 976, 980, 982, 985, 987, 989, 998, 1006, 1008, 1017, 1022, 1024, 1029, 1036, 1037, 1041, 1043, 1045, 1047, 1053, 1054, 1056, 1058, 1065, 1066, 1067, 1070, 1076, 1081, 1084, 1091, 1095, 1101, 1102, 1117, 1126, 1132, 1137, 1143, 1144, 1154, 1157, 1161, 1162, 1170, 1172, 1176, 1179, 1181, 1185, 1199, 1203, 1211, 1218, 1223, 1224, 1231, 1237, 1242, 1246, 1250, 1252, 1254, 1255, 1261, 1272, 1273, 1275, 1276, 1277, 1279, 1280, 1284, 1289, 1290, 1298, 1301, 1302, 1306, 1309, 1311, 1314, 1320, 1321, 1324, 1331, 1344, 1347, 1351, 1359, 1360, 1362, 1364, 1365, 1368, 1369, 1371, 1373, 1375, 1378, 1383, 1385, 1392, 1396, 1397, 1398, 1402, 1407, 1412, 1415, 1429, 1433, 1435, 1437, 1438, 1443, 1444, 1457, 1462, 1469, 1472, 1480, 1481, 1485, 1488, 1489, 1498, 1510, 1513, 1514, 1520, 1535, 1539, 1541, 1544, 1548, 1550, 1554, 1557, 1562, 1564, 1566, 1567, 1569, 1571, 1594, 1596, 1599, 1603, 1609, 1613, 1614, 1616, 1623, 1625, 1633, 1635, 1640, 1645, 1655, 1656, 1663, 1664, 1666, 1667, 1669, 1670, 1673, 1676, 1678, 1682, 1686, 1689, 1694, 1695, 1703, 1706, 1709, 1714, 1715, 1721, 1728, 1732, 1749, 1753, 1757, 1760, 1761, 1763, 1767, 1772, 1779, 1787, 1789, 1790, 1801, 1811, 1812, 1824, 1825, 1826, 1828, 1831, 1834, 1835, 1838, 1848, 1850, 1851, 1852, 1856, 1858, 1863, 1864, 1865, 1866, 1869, 1874, 1878, 1879, 1889, 1893, 1894, 1898, 1904, 1908, 1916, 1917, 1922, 1925, 1928, 1929, 1932, 1935, 1947, 1953, 1954, 1959, 1961, 1969, 1972, 1976, 1979, 1980, 1982, 1984, 1986, 1987, 1988, 1990, 1993, 1995, 1997, 2001, 2004, 2009, 2010, 2020, 2023, 2024, 2037, 2038, 2044, 2046, 2057, 2069, 2102, 2104, 2105, 2113, 2117, 2118, 2121, 2125, 2145, 2146, 2151, 2153, 2155, 2157, 2158, 2161, 2163, 2176, 2179, 2181, 2182, 2205, 2209, 2211, 2213, 2219, 2221, 2224, 2226, 2228, 2233, 2235, 2237, 2238, 2240, 2242, 2251, 2253, 2261, 2271, 2275, 2276, 2284, 2286, 2295, 2297, 2299, 2301, 2305, 2307, 2310, 2312, 2313, 2317, 2319, 2325, 2332, 2333, 2336, 2337, 2339, 2342, 2345, 2346, 2347, 2353, 2358, 2380, 2386, 2387, 2388, 2392, 2393, 2395, 2398, 2400, 2412, 2418, 2421, 2422, 2423, 2424, 2425, 2429, 2430, 2437, 2438, 2439, 2441, 2443, 2454, 2455, 2461, 2462, 2471, 2475, 2484, 2487, 2493, 2502, 2506, 2508, 2517, 2521, 2522, 2526, 2528, 2532, 2533, 2535, 2538, 2541, 2544, 2547, 2552, 2561, 2579, 2580, 2581, 2583, 2585, 2591, 2606, 2608, 2609, 2617, 2621, 2630, 2631, 2634, 2635, 2636, 2644, 2652, 2653, 2654, 2655, 2662, 2665, 2674, 2676, 2683, 2684, 2693, 2700, 2705, 2707, 2710, 2715, 2719, 2726, 2727, 2729, 2730, 2732, 2739, 2743, 2745, 2747, 2751, 2752, 2754, 2760, 2764, 2765, 2769, 2773, 2774, 2775, 2776, 2780, 2782, 2785, 2793, 2804, 2809, 2810, 2818, 2822, 2832, 2837, 2838, 2839, 2840, 2847, 2849, 2857, 2860, 2861, 2868, 2870, 2871, 2872, 2881, 2882, 2886, 2887, 2891, 2893, 2898, 2903, 2904, 2905, 2907, 2909, 2910, 2912, 2917, 2919, 2921, 2922, 2927, 2934, 2936, 2940, 2941, 2945, 2948, 2957, 2958, 2960, 2965, 2973, 2974, 2984, 2993, 2997, 3005, 3006, 3008, 3009, 3018, 3023, 3027, 3032, 3036, 3038, 3041, 3043, 3050, 3053, 3058, 3059, 3061, 3062, 3075, 3082, 3083, 3090, 3093, 3095, 3101, 3102, 3105, 3109, 3112, 3117, 3121, 3131, 3135, 3138, 3139, 3149, 3152, 3160, 3161, 3163, 3167, 3168, 3173, 3174, 3187, 3190, 3197, 3206, 3209, 3211, 3215, 3225, 3226, 3227, 3230, 3238, 3241, 3247, 3251, 3257, 3259, 3261, 3266, 3271, 3275, 3281, 3285, 3288, 3292, 3294, 3295, 3297, 3298, 3307, 3312, 3314, 3328, 3330, 3332, 3337, 3338, 3346, 3351, 3352, 3363, 3368, 3371, 3375, 3377, 3379, 3381, 3382, 3385, 3387, 3388, 3400, 3401, 3403, 3406, 3412, 3415, 3417, 3419, 3422, 3424, 3427, 3428, 3432, 3433, 3440, 3458, 3462, 3463, 3465, 3467, 3474, 3477, 3479, 3483, 3485, 3489, 3495, 3496, 3498, 3504, 3505, 3506, 3517, 3521, 3532, 3536, 3537, 3540, 3548, 3549, 3552, 3563, 3568, 3577, 3583, 3590, 3591, 3592, 3606, 3607, 3608, 3612, 3613, 3618, 3621, 3622, 3625, 3626, 3629, 3632, 3635, 3638, 3639, 3643, 3645, 3651, 3660, 3661, 3664, 3686, 3687, 3689, 3692, 3696, 3707, 3710, 3718, 3727, 3731, 3733, 3745, 3746, 3747, 3753, 3754, 3755, 3756, 3768, 3770, 3776, 3777, 3779, 3780, 3782, 3785, 3791, 3802, 3805, 3813, 3814, 3817, 3818, 3820, 3824, 3828, 3829, 3831, 3832, 3837, 3843, 3849, 3851, 3858, 3868, 3869, 3873, 3875, 3883, 3884, 3889, 3898, 3899, 3900, 3909, 3910, 3912, 3918, 3922, 3923, 3926, 3935, 3939, 3943, 3946, 3949, 3960, 3962, 3963, 3967, 3969, 3971, 3972, 3977, 3980, 3983, 3987, 3993, 3994, 3996, 3998, 3999, 4010, 4011, 4013, 4021, 4027, 4028, 4037, 4043, 4049, 4056, 4057, 4059, 4060, 4064, 4065, 4071, 4073, 4084, 4086, 4090, 4094, 4104, 4107, 4109, 4111, 4116, 4128, 4136, 4138, 4141, 4142, 4147, 4152, 4161, 4167, 4168, 4171, 4181, 4183, 4184, 4185, 4189, 4190, 4191, 4193, 4194, 4200, 4209, 4210, 4214, 4215, 4217, 4220, 4224, 4228, 4230, 4237, 4238, 4239, 4241, 4243, 4245, 4252, 4256, 4268, 4270, 4275, 4278, 4285, 4288, 4295, 4297, 4301, 4303, 4312, 4314, 4315, 4320, 4327, 4331, 4333, 4341, 4344, 4345, 4346, 4348, 4351, 4358, 4359, 4362, 4366, 4376, 4377, 4379, 4381, 4391, 4403, 4408, 4410, 4414, 4416, 4417, 4418, 4420, 4424, 4427, 4429, 4432, 4436, 4445, 4449, 4450, 4456, 4460, 4463, 4466, 4468, 4470, 4471, 4476, 4479, 4480, 4489, 4496, 4503, 4505, 4513, 4515, 4521, 4523, 4527, 4543, 4545, 4548, 4551, 4556, 4557, 4566, 4573, 4576, 4588, 4593, 4594, 4603, 4604, 4611, 4612, 4616, 4618, 4624, 4627, 4628, 4629, 4631, 4641, 4648, 4649, 4660, 4664, 4665, 4673, 4684, 4685, 4693, 4694, 4695, 4700, 4702, 4705, 4719, 4720, 4723, 4725, 4728, 4732, 4743, 4744, 4756, 4759, 4763, 4765, 4770, 4773, 4780, 4786, 4791, 4792, 4809, 4812, 4814, 4816, 4818, 4821, 4833, 4841, 4858, 4859, 4860, 4864, 4870, 4879, 4887, 4891, 4897, 4899, 4901, 4903, 4905, 4907, 4909, 4910, 4912, 4916, 4918, 4920, 4921, 4923, 4924, 4937, 4941, 4949, 4950, 4952, 4954, 4955, 4966, 4977, 4978, 4982, 4983, 4984, 4987, 4988, 4996, 5001, 5007, 5009, 5014, 5015, 5018, 5020, 5030, 5034, 5043, 5048, 5050, 5059, 5060, 5067, 5069, 5070, 5072, 5073, 5077, 5085, 5086, 5103, 5104, 5120, 5124, 5142, 5143, 5148, 5152, 5166, 5175, 5179, 5182, 5188, 5192, 5193, 5195, 5201, 5209, 5213, 5218, 5224, 5228, 5231, 5234, 5235, 5238, 5239, 5240, 5241, 5244, 5247, 5252, 5253, 5256, 5260, 5264, 5273, 5275, 5277, 5285, 5291, 5294, 5298, 5299, 5302, 5316, 5317, 5318, 5319, 5321, 5322, 5323, 5327, 5329, 5337, 5339, 5347, 5348, 5351, 5363, 5364, 5368, 5370, 5371, 5372, 5376, 5378, 5385, 5401, 5402, 5417, 5418, 5426, 5430, 5432, 5435, 5440, 5442, 5447, 5448, 5449, 5450, 5451, 5455, 5457, 5461, 5463, 5464, 5466, 5467, 5468, 5477, 5482, 5483, 5496, 5501, 5504, 5505, 5509, 5519, 5520, 5527, 5528, 5535, 5538, 5550, 5553, 5555, 5557, 5559, 5561, 5566, 5573, 5577, 5578, 5579, 5581, 5583, 5584, 5591, 5592, 5598, 5601, 5604, 5606, 5607, 5610, 5612, 5613, 5616, 5617, 5621, 5622, 5626, 5629, 5640, 5642, 5646, 5648, 5655, 5656, 5658, 5661, 5664, 5665, 5675, 5677, 5679, 5683, 5685, 5696, 5697, 5699, 5700, 5705, 5706, 5709, 5710, 5712, 5715, 5725, 5729, 5730, 5733, 5736, 5741, 5743, 5756, 5757, 5759, 5760, 5765, 5768, 5771, 5775, 5776, 5777, 5779, 5780, 5790, 5795, 5796, 5800, 5809, 5815, 5820, 5824, 5826, 5830, 5831, 5841, 5843, 5846, 5847, 5849, 5852, 5853, 5859, 5860, 5872, 5873, 5876, 5879, 5883, 5890, 5897, 5908, 5909, 5915, 5921, 5923, 5927, 5928, 5935, 5941, 5945, 5947, 5952, 5953, 5954, 5958, 5961, 5964, 5965, 5971, 5974, 5992, 5993, 5997, 5999, 6000, 6007, 6017, 6020, 6029, 6030, 6033, 6035, 6038, 6041, 6043, 6044, 6046, 6052, 6057, 6060, 6063, 6066, 6070, 6077, 6084, 6092, 6098, 6100, 6103, 6104, 6105, 6108, 6114, 6116, 6121, 6125, 6126, 6127, 6128, 6130, 6131, 6142, 6145, 6147, 6151, 6152, 6154, 6155, 6164, 6165, 6169, 6171, 6172, 6177, 6180, 6188, 6190, 6194, 6201, 6217, 6223, 6226, 6231, 6233, 6237, 6243, 6244, 6245, 6250, 6255, 6258, 6264, 6268, 6290, 6291, 6296, 6309, 6310, 6311, 6316, 6325, 6336, 6348, 6354, 6357, 6364, 6367, 6372, 6377, 6383, 6394, 6397, 6400, 6404, 6411, 6417, 6418, 6420, 6421, 6426, 6430, 6435, 6437, 6441, 6442, 6443, 6444, 6446, 6447, 6451, 6452, 6454, 6456, 6458, 6460, 6471, 6473, 6478, 6482, 6501, 6503, 6514, 6517, 6518, 6523, 6532, 6533, 6534, 6536, 6538, 6540, 6542, 6543, 6546, 6548, 6556, 6558, 6564, 6573, 6579, 6586, 6588, 6595, 6596, 6597, 6600, 6601, 6602, 6603, 6604, 6606, 6608, 6631, 6635, 6643, 6645, 6649, 6658, 6662, 6663, 6674, 6677, 6679, 6682, 6684, 6685, 6689, 6693, 6695, 6696, 6699, 6700, 6702, 6703, 6705, 6716, 6718, 6719, 6722, 6726, 6731, 6734, 6737, 6742, 6750, 6756, 6757, 6764, 6767, 6770, 6771, 6772, 6784, 6786, 6789, 6790, 6793, 6797, 6800, 6801, 6811, 6828, 6834, 6836, 6845, 6848, 6850, 6851, 6856, 6857, 6858, 6860, 6863, 6866, 6868, 6871, 6874, 6877, 6884, 6888, 6891, 6893, 6912, 6916, 6917, 6925, 6926, 6927, 6936, 6939, 6942, 6946, 6950, 6963, 6966, 6969, 6974, 6976, 6986, 6993, 6996, 6998, 7018, 7021, 7022, 7026, 7028, 7029, 7035, 7036, 7040, 7042, 7045, 7051, 7053, 7059, 7062, 7063, 7065, 7072, 7074, 7077, 7085, 7091, 7092, 7094, 7096, 7100, 7101, 7102, 7103, 7106, 7109, 7110, 7115, 7121, 7126, 7127, 7128, 7130, 7132, 7133, 7139, 7151, 7157, 7158, 7169, 7175, 7180, 7184, 7189, 7190, 7192, 7204, 7210, 7211, 7212, 7215, 7219, 7220, 7222, 7223, 7226, 7227, 7233, 7236, 7237, 7242, 7243, 7247, 7249, 7250, 7257, 7267, 7269, 7270, 7273, 7275, 7277, 7278, 7282, 7289, 7294, 7303, 7307, 7311, 7313, 7314, 7315, 7316, 7320, 7327, 7328, 7332, 7334, 7340, 7341, 7342, 7348, 7351, 7353, 7354, 7355, 7357, 7360, 7368, 7373, 7375, 7376, 7377, 7378, 7379, 7381, 7388, 7389, 7390, 7391, 7392, 7404, 7406, 7413, 7415, 7417, 7421, 7428, 7430, 7432, 7434, 7436, 7438, 7449, 7450, 7451, 7455, 7457, 7465, 7467, 7468, 7469, 7470, 7481, 7486, 7487, 7488, 7490, 7492, 7501, 7505, 7507, 7509, 7510, 7514, 7519, 7523, 7524, 7525, 7529, 7535, 7548, 7550, 7552, 7553, 7560, 7562, 7568, 7573, 7578, 7587, 7589, 7593, 7594, 7597, 7601, 7607, 7611, 7613, 7616, 7618, 7620, 7625, 7629, 7631, 7638, 7646, 7649, 7650, 7657, 7670, 7680, 7690, 7698, 7707, 7708, 7711, 7712, 7720, 7722, 7727, 7734, 7737, 7738, 7741, 7744, 7745, 7750, 7752, 7755, 7761, 7770, 7775, 7789, 7796, 7798, 7803, 7804, 7809, 7817, 7821, 7827, 7828, 7835, 7837, 7838, 7847, 7852, 7853, 7854, 7858, 7864, 7865, 7866, 7871, 7875, 7880, 7888, 7889, 7897, 7903, 7904, 7905, 7907, 7910, 7913, 7915, 7919, 7922, 7924, 7933, 7934, 7936, 7937, 7939, 7942, 7945, 7948, 7950, 7954, 7961, 7962, 7974, 7976, 7978, 7988, 7999, 8003, 8010, 8014, 8016, 8019, 8026, 8029, 8031, 8032, 8033, 8037, 8038, 8043, 8047, 8050, 8054, 8061, 8068, 8069, 8071, 8077, 8083, 8087, 8095, 8097, 8100, 8103, 8104, 8116, 8121, 8125, 8136, 8148, 8149, 8153, 8159, 8162, 8165, 8169, 8170, 8172, 8173, 8180, 8181, 8191, 8192, 8194, 8199, 8200, 8202, 8204, 8208, 8209, 8210, 8213, 8214, 8215, 8225, 8237, 8240, 8243, 8249, 8251, 8253, 8255, 8261, 8263, 8273, 8275, 8278, 8280, 8286, 8288, 8289, 8292, 8293, 8294, 8298, 8302, 8305, 8307, 8309, 8318, 8319, 8323, 8324, 8325, 8332, 8334, 8338, 8342, 8345, 8347, 8351, 8352, 8355, 8356, 8365, 8369, 8373, 8377, 8381, 8385, 8388, 8392, 8404, 8406, 8411, 8412, 8413, 8416, 8420, 8424, 8432, 8433, 8438, 8445, 8446, 8447, 8448, 8456, 8462, 8465, 8470, 8472, 8473, 8476, 8484, 8485, 8490, 8492, 8496, 8497, 8498, 8506, 8507, 8515, 8516, 8520, 8521, 8522, 8524, 8529, 8531, 8535, 8536, 8539, 8545, 8547, 8550, 8554, 8560, 8567, 8570, 8572, 8575, 8578, 8581, 8585, 8591, 8599, 8609, 8610, 8612, 8613, 8624, 8626, 8627, 8631, 8637, 8639, 8640, 8641, 8643, 8645, 8647, 8651, 8653, 8658, 8674, 8675, 8677, 8682, 8686, 8694, 8696, 8697, 8709, 8712, 8719, 8720, 8723, 8727, 8735, 8736, 8740, 8744, 8752, 8753, 8755, 8758, 8763, 8764, 8766, 8768, 8773, 8775, 8785, 8787, 8790, 8791, 8799, 8803, 8813, 8817, 8830, 8846, 8849, 8852, 8863, 8868, 8872, 8878, 8879, 8880, 8882, 8892, 8897, 8898, 8903, 8904, 8907, 8920, 8923, 8929, 8936, 8942, 8947, 8952, 8955, 8958, 8960, 8966, 8972, 8977, 8978, 8979, 8983, 8984, 8985, 8988, 8991, 9006, 9007, 9010, 9012, 9019, 9029, 9031, 9032, 9040, 9046, 9061, 9072, 9074, 9078, 9079, 9082, 9090, 9098, 9100, 9106, 9108, 9109, 9111, 9112, 9115, 9118, 9121, 9129, 9130, 9131, 9138, 9144, 9148, 9150, 9154, 9155, 9163, 9168, 9169, 9175, 9176, 9183, 9186, 9188, 9191, 9193, 9200, 9202, 9204, 9207, 9213, 9215, 9220, 9222, 9223, 9229, 9230, 9236, 9242, 9252, 9255, 9257, 9260, 9272, 9274, 9276, 9282, 9285, 9286, 9288, 9302, 9307, 9314, 9319, 9325, 9329, 9332, 9337, 9338, 9344, 9345, 9348, 9351, 9353, 9355, 9356, 9359, 9366, 9369, 9370, 9371, 9372, 9376, 9377, 9381, 9382, 9384, 9387, 9392, 9396, 9397, 9398, 9402, 9407, 9412, 9415, 9416, 9426, 9430, 9431, 9433, 9436, 9438, 9444, 9449, 9452, 9453, 9460, 9466, 9472, 9474, 9484, 9488, 9495, 9498, 9508, 9510, 9511, 9516, 9521, 9524, 9525, 9526, 9530, 9532, 9535, 9539, 9541, 9543, 9544, 9547, 9552, 9554, 9564, 9566, 9567, 9568, 9572, 9574, 9575, 9603, 9604, 9612, 9613, 9620, 9624, 9626, 9631, 9643, 9644, 9646, 9647, 9653, 9654, 9655, 9657, 9658, 9663, 9667, 9678, 9679, 9680, 9687, 9688, 9691, 9700, 9701, 9704, 9707, 9708, 9709, 9717, 9721, 9724, 9730, 9737, 9742, 9743, 9746, 9753, 9754, 9756, 9758, 9775, 9776, 9779, 9780, 9784, 9786, 9791, 9792, 9797, 9800, 9801, 9802, 9805, 9809, 9810, 9812, 9814, 9818, 9821, 9822, 9825, 9827, 9828, 9832, 9837, 9845, 9849, 9850, 9851, 9861, 9863, 9873, 9875, 9881, 9882, 9883, 9885, 9886, 9892, 9901, 9903, 9909, 9914, 9915, 9920, 9932, 9940, 9944, 9947, 9954, 9963, 9965, 9979, 9993, 10000, 10004, 10012, 10018, 10022, 10024, 10025, 10030, 10033, 10038, 10039, 10042, 10044, 10045, 10046, 10051, 10056, 10060, 10065, 10068, 10074, 10078, 10080, 10091, 10096, 10106, 10127, 10139, 10142, 10147, 10150, 10154, 10156, 10157, 10160, 10172, 10174, 10176, 10187, 10189, 10193, 10195, 10211, 10212, 10215, 10221, 10226, 10227, 10238, 10240, 10247, 10251, 10260, 10261, 10263, 10269, 10272, 10276, 10284, 10291, 10294, 10295, 10296, 10298, 10299, 10306, 10312, 10321, 10326, 10327, 10330, 10335, 10336, 10337, 10347, 10366, 10369, 10370, 10371, 10381, 10382, 10383, 10386, 10395, 10397, 10404, 10409, 10412, 10414, 10416, 10418, 10419, 10420, 10424, 10425, 10428, 10439, 10440, 10445, 10448, 10450, 10452, 10456, 10460, 10463, 10464, 10465, 10467, 10471, 10472, 10477, 10481, 10483, 10489, 10491, 10497, 10499, 10500, 10504, 10505, 10506, 10511, 10517, 10524, 10527, 10529, 10531, 10535, 10536, 10541, 10542, 10546, 10550, 10552, 10562, 10570, 10571, 10572, 10573, 10576, 10578, 10581, 10582, 10588, 10590, 10591, 10593, 10597, 10600, 10602, 10603, 10605, 10611, 10612, 10614, 10631, 10637, 10638, 10643, 10644, 10649, 10651, 10655, 10657, 10661, 10665, 10674, 10675, 10676, 10679, 10692, 10700, 10701, 10709, 10713, 10714, 10715, 10717, 10722, 10726, 10727, 10729, 10731, 10741, 10749, 10750, 10752, 10755, 10760, 10765, 10766, 10769, 10770, 10773, 10775, 10776, 10778, 10780, 10782, 10783, 10789, 10792, 10794, 10795, 10800, 10807, 10808, 10809, 10815, 10816, 10823, 10831, 10836, 10837, 10838, 10839, 10843, 10844, 10845, 10853, 10855, 10856, 10859, 10867, 10869, 10870, 10872, 10873, 10875, 10883, 10884, 10890, 10896, 10898, 10900, 10915, 10919, 10920, 10923, 10927, 10934, 10936, 10937, 10945, 10947, 10949, 10952, 10967, 10970, 10972, 10979, 10989, 11002, 11007, 11010, 11011, 11019, 11026, 11037, 11039, 11044, 11045, 11055, 11058, 11060, 11063, 11066, 11067, 11069, 11071, 11076, 11078, 11082, 11088, 11091, 11094, 11096, 11098, 11108, 11110, 11112, 11113, 11114, 11116, 11122, 11125, 11135, 11136, 11138, 11141, 11147, 11149, 11150, 11152, 11153, 11166, 11169, 11172, 11178, 11185, 11187, 11189, 11192, 11193, 11195, 11198, 11199, 11204, 11207, 11208, 11213, 11218, 11222, 11226, 11230, 11231, 11236, 11241, 11246, 11251, 11254, 11258, 11267, 11268, 11277, 11279, 11280, 11292, 11294, 11295, 11298, 11300, 11314, 11315, 11316, 11319, 11322, 11329, 11332, 11335, 11341, 11342, 11347, 11361, 11369, 11371, 11374, 11377, 11378, 11380, 11383, 11384, 11386, 11388, 11394, 11396, 11416, 11420, 11421, 11431, 11434, 11444, 11445, 11446, 11449, 11456, 11461, 11464, 11465, 11467, 11472, 11477, 11479, 11481, 11490, 11502, 11507, 11511, 11513, 11521, 11524, 11527, 11534, 11536, 11538, 11543, 11547, 11551, 11552, 11553, 11557, 11565, 11568, 11569, 11570, 11574, 11575, 11592, 11594, 11595, 11597, 11603, 11607, 11609, 11612, 11613, 11614, 11625, 11626, 11631, 11635, 11645, 11646, 11650, 11655, 11660, 11662, 11663, 11664, 11666, 11679, 11682, 11686, 11690, 11693, 11694, 11697, 11699, 11706, 11707, 11709, 11714, 11719, 11721, 11723, 11726, 11730, 11731, 11734, 11735, 11740, 11748, 11749, 11751, 11755, 11763, 11766, 11772, 11778, 11788, 11789, 11795, 11801, 11803, 11810, 11811, 11812, 11814, 11821, 11827, 11829, 11830, 11831, 11832, 11836, 11845, 11853, 11854, 11858, 11862, 11864, 11868, 11871, 11874, 11876, 11877, 11885, 11891, 11898, 11903, 11913, 11916, 11933, 11934, 11936, 11938, 11945, 11947, 11948, 11953, 11956, 11961, 11964, 11972, 11984, 11987, 11988, 11991, 11993, 11995, 11999, 12001, 12002, 12005, 12006, 12008, 12009, 12011, 12018, 12025, 12026, 12028, 12033, 12041, 12045, 12046, 12052, 12053, 12055, 12059, 12063, 12073, 12078, 12079, 12080, 12082, 12084, 12085, 12088, 12092, 12096, 12097, 12103, 12105, 12106, 12113, 12115, 12118, 12124, 12128, 12130, 12133, 12138, 12145, 12146, 12149, 12150, 12160, 12164, 12169, 12179, 12182, 12183, 12186, 12191, 12193, 12194, 12196, 12198, 12204, 12209, 12216, 12218, 12221, 12225, 12232, 12238, 12240, 12253, 12256, 12258, 12263, 12266, 12268, 12270, 12275, 12277, 12288, 12293, 12304, 12307, 12316, 12317, 12318, 12323, 12324, 12332, 12333, 12337, 12339, 12344, 12349, 12350, 12351, 12355, 12357, 12367, 12378, 12381, 12382, 12385, 12389, 12391, 12402, 12405, 12412, 12416, 12421, 12427, 12434, 12441, 12442, 12445, 12446, 12447, 12454, 12459, 12460, 12461, 12464, 12470, 12475, 12485, 12486, 12493, 12494, 12496, 12498, 12500, 12501, 12506, 12507, 12509, 12512, 12514, 12516, 12518, 12519, 12526, 12528, 12532, 12534, 12536, 12540, 12549, 12551, 12564, 12566, 12571, 12575, 12576, 12579, 12587, 12589, 12593, 12596, 12600, 12601, 12603, 12608, 12614, 12619, 12621, 12624, 12625, 12627, 12629, 12637, 12644, 12645, 12649, 12656, 12668, 12673, 12692, 12696, 12701, 12703, 12708, 12711, 12712, 12713, 12718, 12720, 12729, 12735, 12736, 12747, 12753, 12754, 12755, 12759, 12761, 12767, 12773, 12775, 12776, 12780, 12783, 12785, 12793, 12795, 12798, 12799, 12800, 12802, 12803, 12813, 12820, 12822, 12825, 12826, 12829, 12842, 12846, 12850, 12851, 12856, 12857, 12858, 12873, 12875, 12876, 12877, 12879, 12880, 12883, 12889, 12902, 12906, 12908, 12909, 12910, 12916, 12920, 12922, 12929, 12931, 12933, 12936, 12937, 12939, 12942, 12949, 12950, 12955, 12958, 12960, 12965, 12966, 12968, 12971, 12972, 12978, 12980, 12983, 12988, 12994, 12996, 13005, 13006, 13008, 13011, 13012, 13013, 13020, 13027, 13047, 13058, 13061, 13064, 13067, 13068, 13069, 13071, 13073, 13078, 13084, 13089, 13090, 13095, 13098, 13101, 13110, 13114, 13115, 13116, 13121, 13122, 13126, 13127, 13128, 13135, 13137, 13139, 13143, 13146, 13159, 13162, 13173, 13176, 13182, 13186, 13188, 13189, 13195, 13199, 13203, 13204, 13209, 13213, 13217, 13227, 13229, 13231, 13238, 13240, 13241, 13246, 13247, 13251, 13252, 13253, 13256, 13275, 13277, 13281, 13288, 13292, 13297, 13307, 13311, 13315, 13316, 13323, 13324, 13330, 13332, 13335, 13336, 13341, 13351, 13355, 13359, 13360, 13364, 13366, 13368, 13371, 13380, 13384, 13385, 13386, 13390, 13392, 13393, 13394, 13397, 13405, 13406, 13408, 13422, 13427, 13428, 13433, 13434, 13435, 13448, 13449, 13451, 13454, 13456, 13458, 13459, 13460, 13461, 13462, 13466, 13471, 13473, 13474, 13478, 13480, 13488, 13489, 13490, 13493, 13494, 13495, 13498, 13501, 13503, 13512, 13514, 13517, 13522, 13523, 13527, 13539, 13540, 13542, 13543, 13544, 13545, 13546, 13547, 13549, 13551, 13562, 13563, 13569, 13570, 13578, 13588, 13590, 13599, 13600, 13605, 13614, 13618, 13622, 13634, 13641, 13642, 13645, 13647, 13655, 13658, 13659, 13662, 13663, 13670, 13674, 13677, 13678, 13680, 13688, 13695, 13701, 13702, 13712, 13713, 13714, 13715, 13721, 13729, 13732, 13737, 13739, 13740, 13742, 13746, 13754, 13766, 13776, 13778, 13781, 13786, 13788, 13791, 13794, 13795, 13803, 13804, 13806, 13807, 13812, 13817, 13820, 13821, 13825, 13828, 13833, 13834, 13841, 13848, 13855, 13856, 13858, 13864, 13872, 13876, 13879, 13880, 13884, 13888, 13890, 13899, 13904, 13909, 13914, 13923, 13924, 13928, 13929, 13947, 13954, 13955, 13958, 13967, 13968, 13970, 13972, 13980, 13983, 13992, 13999, 14007, 14009, 14011, 14013, 14017, 14024, 14025, 14030, 14031, 14037, 14038, 14048, 14052, 14053, 14067, 14071, 14077, 14085, 14093, 14096, 14100, 14101, 14106, 14109, 14112, 14116, 14117, 14119, 14121, 14123, 14124, 14140, 14144, 14149, 14161, 14165, 14170, 14175, 14181, 14185, 14189, 14201, 14204, 14206, 14210, 14215, 14220, 14227, 14228, 14229, 14230, 14231, 14240, 14242, 14249, 14250, 14251, 14261, 14262, 14267, 14270, 14272, 14273, 14279, 14281, 14283, 14288, 14291, 14292, 14294, 14295, 14306, 14308, 14311, 14312, 14313, 14317, 14318, 14319, 14322, 14327, 14329, 14331, 14332, 14338, 14339, 14342, 14350, 14352, 14356, 14360, 14365, 14376, 14377, 14380, 14382, 14386, 14399, 14400, 14404, 14411, 14412, 14414, 14432, 14437, 14444, 14452, 14454, 14464, 14466, 14472, 14478, 14479, 14480, 14488, 14489, 14491, 14492, 14493, 14494, 14498, 14503, 14504, 14509, 14515, 14522, 14523, 14527, 14533, 14536, 14539, 14548, 14550, 14552, 14553, 14554, 14562, 14573, 14580, 14585, 14590, 14593, 14596, 14600, 14602, 14605, 14612, 14616, 14627, 14634, 14642, 14645, 14646, 14647, 14649, 14650, 14651, 14655, 14664, 14665, 14666, 14673, 14682, 14691, 14693, 14694, 14696, 14697, 14701, 14705, 14721, 14727, 14743, 14745, 14747, 14752, 14754, 14760, 14764, 14769, 14772, 14776, 14778, 14780, 14781, 14784, 14786, 14794, 14796, 14799, 14800, 14802, 14804, 14806, 14808, 14812, 14815, 14819, 14823, 14825, 14827, 14835, 14836, 14841, 14842, 14856, 14860, 14862, 14865, 14867, 14868, 14872, 14875, 14883, 14888, 14892, 14894, 14898, 14899, 14900, 14911, 14912, 14919, 14926, 14928, 14930, 14931, 14934, 14936, 14938, 14939, 14943, 14944, 14948, 14955, 14957, 14962, 14966, 14972, 14973, 14974, 14981, 14982, 14983, 14984, 14985, 14986, 14995, 15005, 15006, 15008, 15009, 15011, 15012, 15014, 15017, 15018, 15022, 15023, 15028, 15029, 15031, 15039, 15041, 15043, 15044, 15045, 15051, 15053, 15055, 15056, 15060, 15064, 15071, 15075, 15078, 15080, 15091, 15095, 15097, 15098, 15105, 15107, 15108, 15111, 15112, 15115, 15116, 15126, 15133, 15138, 15141, 15146, 15149, 15156, 15157, 15159, 15163, 15172, 15182, 15188, 15189, 15194, 15195, 15197, 15206, 15209, 15212, 15214, 15215, 15217, 15222, 15225, 15233, 15235, 15238, 15239, 15240, 15244, 15245, 15248, 15249, 15250, 15253, 15254, 15255, 15257, 15263, 15269, 15272, 15277, 15282, 15283, 15287, 15289, 15295, 15301, 15305, 15309, 15317, 15320, 15321, 15322, 15325, 15326, 15336, 15337, 15339, 15341, 15342, 15346, 15350, 15351, 15352, 15353, 15355, 15360, 15361, 15364, 15371, 15375, 15378, 15382, 15385, 15386, 15388, 15391, 15395, 15400, 15406, 15411, 15412, 15418, 15420, 15422, 15429, 15431, 15433, 15444, 15446, 15447, 15448, 15449, 15456, 15464, 15469, 15473, 15478, 15480, 15481, 15482, 15484, 15491, 15497, 15498, 15503, 15507, 15513, 15514, 15515, 15517, 15520, 15531, 15534, 15540, 15548, 15552, 15565, 15567, 15577, 15578, 15585, 15588, 15589, 15596, 15597, 15599, 15600, 15601, 15604, 15609, 15614, 15618, 15620, 15629, 15630, 15635, 15638, 15641, 15643, 15646, 15650, 15652, 15655, 15659, 15660, 15663, 15664, 15665, 15670, 15674, 15675, 15690, 15694, 15695, 15698, 15707, 15709, 15712, 15714, 15725, 15726, 15728, 15730, 15733, 15741, 15747, 15748, 15756, 15757, 15762, 15766, 15772, 15773, 15777, 15778, 15780, 15781, 15787, 15788, 15796, 15799, 15800, 15801, 15804, 15808, 15809, 15819, 15821, 15832, 15833, 15834, 15839, 15840, 15845, 15847, 15851, 15852, 15856, 15859, 15862, 15864, 15868, 15879, 15882, 15887, 15890, 15893, 15897, 15904, 15906, 15908, 15915, 15922, 15926, 15927, 15939, 15943, 15946, 15947, 15951, 15957, 15959, 15965, 15975, 15977, 15979, 15984, 15990, 15991, 16008, 16013, 16014, 16024, 16027, 16028, 16029, 16036, 16046, 16050, 16054, 16056, 16057, 16059, 16061, 16062, 16069, 16070, 16079, 16084, 16085, 16086, 16089, 16097, 16098, 16100, 16104, 16112, 16113, 16122, 16123, 16124, 16125, 16131, 16132, 16133, 16138, 16141, 16142, 16143, 16144, 16145, 16148, 16156, 16161, 16162, 16170, 16182, 16187, 16193, 16199, 16207, 16209, 16214, 16215, 16220, 16223, 16227, 16235, 16237, 16242, 16252, 16253, 16256, 16257, 16268, 16272, 16273, 16281, 16298, 16301, 16304, 16310, 16311, 16312, 16313, 16315, 16326, 16331, 16332, 16340, 16342, 16347, 16355, 16357, 16358, 16359, 16373, 16378, 16379, 16384, 16385, 16386, 16389, 16402, 16405, 16411, 16414, 16419, 16423, 16431, 16437, 16439, 16445, 16448, 16452, 16455, 16458, 16465, 16473, 16474, 16476, 16478, 16482, 16490, 16491, 16492, 16493, 16502, 16507, 16509, 16510, 16516, 16517, 16519, 16524, 16525, 16529, 16531, 16532, 16536, 16538, 16539, 16540, 16543, 16546, 16550, 16557, 16558, 16561, 16564, 16566, 16571, 16575, 16580, 16582, 16588, 16592, 16593, 16594, 16602, 16607, 16610, 16613, 16618, 16621, 16627, 16628, 16636, 16639, 16645, 16647, 16649, 16652, 16660, 16664, 16666, 16676, 16681, 16684, 16686, 16693, 16695, 16697, 16698, 16699, 16703, 16707, 16720, 16723, 16724, 16727, 16730, 16734, 16735, 16737, 16740, 16743, 16745, 16747, 16748, 16750]
Gap-uri:
[2, 1, 3, 6, 1, 2, 4, 3, 8, 1, 4, 1, 3, 2, 4, 2, 3, 2, 8, 1, 1, 4, 1, 2, 3, 2, 4, 14, 5, 2, 2, 11, 1, 2, 1, 4, 2, 5, 2, 1, 2, 2, 4, 1, 6, 1, 1, 7, 1, 4, 2, 1, 4, 2, 19, 5, 3, 2, 1, 1, 1, 1, 8, 4, 9, 2, 1, 6, 1, 2, 8, 4, 13, 2, 6, 2, 1, 4, 5, 2, 3, 5, 3, 2, 1, 1, 13, 9, 3, 3, 7, 2, 1, 4, 2, 1, 2, 1, 3, 7, 2, 2, 2, 2, 1, 1, 1, 6, 1, 3, 1, 2, 4, 2, 1, 3, 2, 3, 2, 5, 6, 9, 4, 2, 3, 6, 1, 9, 6, 6, 1, 2, 1, 4, 7, 11, 2, 2, 1, 3, 1, 5, 3, 7, 8, 2, 2, 2, 11, 7, 9, 3, 5, 2, 1, 4, 8, 4, 2, 1, 1, 4, 16, 5, 3, 2, 6, 4, 3, 4, 1, 4, 11, 1, 17, 1, 1, 16, 3, 3, 3, 5, 2, 2, 2, 1, 1, 4, 7, 5, 2, 1, 6, 5, 10, 2, 3, 14, 4, 4, 1, 3, 2, 7, 1, 1, 2, 3, 6, 3, 13, 6, 9, 4, 3, 1, 8, 8, 5, 4, 6, 3, 1, 14, 5, 3, 1, 2, 3, 2, 1, 4, 1, 3, 8, 1, 6, 1, 7, 3, 2, 3, 6, 2, 9, 4, 18, 1, 1, 4, 2, 3, 2, 2, 9, 8, 2, 9, 5, 2, 5, 7, 1, 4, 2, 2, 2, 6, 1, 2, 2, 7, 1, 1, 3, 6, 5, 3, 7, 4, 6, 1, 15, 9, 6, 5, 6, 1, 10, 3, 4, 1, 8, 2, 4, 3, 2, 4, 14, 4, 8, 7, 5, 1, 7, 6, 5, 4, 4, 2, 2, 1, 6, 11, 1, 2, 1, 1, 2, 1, 4, 5, 1, 8, 3, 1, 4, 3, 2, 3, 6, 1, 3, 7, 13, 3, 4, 8, 1, 2, 2, 1, 3, 1, 2, 2, 2, 3, 5, 2, 7, 4, 1, 1, 4, 5, 5, 3, 14, 4, 2, 2, 1, 5, 1, 13, 5, 7, 3, 8, 1, 4, 3, 1, 9, 12, 3, 1, 6, 15, 4, 2, 3, 4, 2, 4, 3, 5, 2, 2, 1, 2, 2, 23, 2, 3, 4, 6, 4, 1, 2, 7, 2, 8, 2, 5, 5, 10, 1, 7, 1, 2, 1, 2, 1, 3, 3, 2, 4, 4, 3, 5, 1, 8, 3, 3, 5, 1, 6, 7, 4, 17, 4, 4, 3, 1, 2, 4, 5, 7, 8, 2, 1, 11, 10, 1, 12, 1, 1, 2, 3, 3, 1, 3, 10, 2, 1, 1, 4, 2, 5, 1, 1, 1, 3, 5, 4, 1, 10, 4, 1, 4, 6, 4, 8, 1, 5, 3, 3, 1, 3, 3, 12, 6, 1, 5, 2, 8, 3, 4, 3, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 4, 3, 5, 1, 10, 3, 1, 13, 1, 6, 2, 11, 12, 33, 2, 1, 8, 4, 1, 3, 4, 20, 1, 5, 2, 2, 2, 1, 3, 2, 13, 3, 2, 1, 23, 4, 2, 2, 6, 2, 3, 2, 2, 5, 2, 2, 1, 2, 2, 9, 2, 8, 10, 4, 1, 8, 2, 9, 2, 2, 2, 4, 2, 3, 2, 1, 4, 2, 6, 7, 1, 3, 1, 2, 3, 3, 1, 1, 6, 5, 22, 6, 1, 1, 4, 1, 2, 3, 2, 12, 6, 3, 1, 1, 1, 1, 4, 1, 7, 1, 1, 2, 2, 11, 1, 6, 1, 9, 4, 9, 3, 6, 9, 4, 2, 9, 4, 1, 4, 2, 4, 1, 2, 3, 3, 3, 3, 5, 9, 18, 1, 1, 2, 2, 6, 15, 2, 1, 8, 4, 9, 1, 3, 1, 1, 8, 8, 1, 1, 1, 7, 3, 9, 2, 7, 1, 9, 7, 5, 2, 3, 5, 4, 7, 1, 2, 1, 2, 7, 4, 2, 2, 4, 1, 2, 6, 4, 1, 4, 4, 1, 1, 1, 4, 2, 3, 8, 11, 5, 1, 8, 4, 10, 5, 1, 1, 1, 7, 2, 8, 3, 1, 7, 2, 1, 1, 9, 1, 4, 1, 4, 2, 5, 5, 1, 1, 2, 2, 1, 2, 5, 2, 2, 1, 5, 7, 2, 4, 1, 4, 3, 9, 1, 2, 5, 8, 1, 10, 9, 4, 8, 1, 2, 1, 9, 5, 4, 5, 4, 2, 3, 2, 7, 3, 5, 1, 2, 1, 13, 7, 1, 7, 3, 2, 6, 1, 3, 4, 3, 5, 4, 10, 4, 3, 1, 10, 3, 8, 1, 2, 4, 1, 5, 1, 13, 3, 7, 9, 3, 2, 4, 10, 1, 1, 3, 8, 3, 6, 4, 6, 2, 2, 5, 5, 4, 6, 4, 3, 4, 2, 1, 2, 1, 9, 5, 2, 14, 2, 2, 5, 1, 8, 5, 1, 11, 5, 3, 4, 2, 2, 2, 1, 3, 2, 1, 12, 1, 2, 3, 6, 3, 2, 2, 3, 2, 3, 1, 4, 1, 7, 18, 4, 1, 2, 2, 7, 3, 2, 4, 2, 4, 6, 1, 2, 6, 1, 1, 11, 4, 11, 4, 1, 3, 8, 1, 3, 11, 5, 9, 6, 7, 1, 1, 14, 1, 1, 4, 1, 5, 3, 1, 3, 1, 3, 3, 3, 3, 1, 4, 2, 6, 9, 1, 3, 22, 1, 2, 3, 4, 11, 3, 8, 9, 4, 2, 12, 1, 1, 6, 1, 1, 1, 12, 2, 6, 1, 2, 1, 2, 3, 6, 11, 3, 8, 1, 3, 1, 2, 4, 4, 1, 2, 1, 5, 6, 6, 2, 7, 10, 1, 4, 2, 8, 1, 5, 9, 1, 1, 9, 1, 2, 6, 4, 1, 3, 9, 4, 4, 3, 3, 11, 2, 1, 4, 2, 2, 1, 5, 3, 3, 4, 6, 1, 2, 2, 1, 11, 1, 2, 8, 6, 1, 9, 6, 6, 7, 1, 2, 1, 4, 1, 6, 2, 11, 2, 4, 4, 10, 3, 2, 2, 5, 12, 8, 2, 3, 1, 5, 5, 9, 6, 1, 3, 10, 2, 1, 1, 4, 1, 1, 2, 1, 6, 9, 1, 4, 1, 2, 3, 4, 4, 2, 7, 1, 1, 2, 2, 2, 7, 4, 12, 2, 5, 3, 7, 3, 7, 2, 4, 2, 9, 2, 1, 5, 7, 4, 2, 8, 3, 1, 1, 2, 3, 7, 1, 3, 4, 10, 1, 2, 2, 10, 12, 5, 2, 4, 2, 1, 1, 2, 4, 3, 2, 3, 4, 9, 4, 1, 6, 4, 3, 3, 2, 2, 1, 5, 3, 1, 9, 7, 7, 2, 8, 2, 6, 2, 4, 16, 2, 3, 3, 5, 1, 9, 7, 3, 12, 5, 1, 9, 1, 7, 1, 4, 2, 6, 3, 1, 1, 2, 10, 7, 1, 11, 4, 1, 8, 11, 1, 8, 1, 1, 5, 2, 3, 14, 1, 3, 2, 3, 4, 11, 1, 12, 3, 4, 2, 5, 3, 7, 6, 5, 1, 17, 3, 2, 2, 2, 3, 12, 8, 17, 1, 1, 4, 6, 9, 8, 4, 6, 2, 2, 2, 2, 2, 2, 1, 2, 4, 2, 2, 1, 2, 1, 13, 4, 8, 1, 2, 2, 1, 11, 11, 1, 4, 1, 1, 3, 1, 8, 5, 6, 2, 5, 1, 3, 2, 10, 4, 9, 5, 2, 9, 1, 7, 2, 1, 2, 1, 4, 8, 1, 17, 1, 16, 4, 18, 1, 5, 4, 14, 9, 4, 3, 6, 4, 1, 2, 6, 8, 4, 5, 6, 4, 3, 3, 1, 3, 1, 1, 1, 3, 3, 5, 1, 3, 4, 4, 9, 2, 2, 8, 6, 3, 4, 1, 3, 14, 1, 1, 1, 2, 1, 1, 4, 2, 8, 2, 8, 1, 3, 12, 1, 4, 2, 1, 1, 4, 2, 7, 16, 1, 15, 1, 8, 4, 2, 3, 5, 2, 5, 1, 1, 1, 1, 4, 2, 4, 2, 1, 2, 1, 1, 9, 5, 1, 13, 5, 3, 1, 4, 10, 1, 7, 1, 7, 3, 12, 3, 2, 2, 2, 2, 5, 7, 4, 1, 1, 2, 2, 1, 7, 1, 6, 3, 3, 2, 1, 3, 2, 1, 3, 1, 4, 1, 4, 3, 11, 2, 4, 2, 7, 1, 2, 3, 3, 1, 10, 2, 2, 4, 2, 11, 1, 2, 1, 5, 1, 3, 1, 2, 3, 10, 4, 1, 3, 3, 5, 2, 13, 1, 2, 1, 5, 3, 3, 4, 1, 1, 2, 1, 10, 5, 1, 4, 9, 6, 5, 4, 2, 4, 1, 10, 2, 3, 1, 2, 3, 1, 6, 1, 12, 1, 3, 3, 4, 7, 7, 11, 1, 6, 6, 2, 4, 1, 7, 6, 4, 2, 5, 1, 1, 4, 3, 3, 1, 6, 3, 18, 1, 4, 2, 1, 7, 10, 3, 9, 1, 3, 2, 3, 3, 2, 1, 2, 6, 5, 3, 3, 3, 4, 7, 7, 8, 6, 2, 3, 1, 1, 3, 6, 2, 5, 4, 1, 1, 1, 2, 1, 11, 3, 2, 4, 1, 2, 1, 9, 1, 4, 2, 1, 5, 3, 8, 2, 4, 7, 16, 6, 3, 5, 2, 4, 6, 1, 1, 5, 5, 3, 6, 4, 22, 1, 5, 13, 1, 1, 5, 9, 11, 12, 6, 3, 7, 3, 5, 5, 6, 11, 3, 3, 4, 7, 6, 1, 2, 1, 5, 4, 5, 2, 4, 1, 1, 1, 2, 1, 4, 1, 2, 2, 2, 2, 11, 2, 5, 4, 19, 2, 11, 3, 1, 5, 9, 1, 1, 2, 2, 2, 2, 1, 3, 2, 8, 2, 6, 9, 6, 7, 2, 7, 1, 1, 3, 1, 1, 1, 1, 2, 2, 23, 4, 8, 2, 4, 9, 4, 1, 11, 3, 2, 3, 2, 1, 4, 4, 2, 1, 3, 1, 2, 1, 2, 11, 2, 1, 3, 4, 5, 3, 3, 5, 8, 6, 1, 7, 3, 3, 1, 1, 12, 2, 3, 1, 3, 4, 3, 1, 10, 17, 6, 2, 9, 3, 2, 1, 5, 1, 1, 2, 3, 3, 2, 3, 3, 3, 7, 4, 3, 2, 19, 4, 1, 8, 1, 1, 9, 3, 3, 4, 4, 13, 3, 3, 5, 2, 10, 7, 3, 2, 20, 3, 1, 4, 2, 1, 6, 1, 4, 2, 3, 6, 2, 6, 3, 1, 2, 7, 2, 3, 8, 6, 1, 2, 2, 4, 1, 1, 1, 3, 3, 1, 5, 6, 5, 1, 1, 2, 2, 1, 6, 12, 6, 1, 11, 6, 5, 4, 5, 1, 2, 12, 6, 1, 1, 3, 4, 1, 2, 1, 3, 1, 6, 3, 1, 5, 1, 4, 2, 1, 7, 10, 2, 1, 3, 2, 2, 1, 4, 7, 5, 9, 4, 4, 2, 1, 1, 1, 4, 7, 1, 4, 2, 6, 1, 1, 6, 3, 2, 1, 1, 2, 3, 8, 5, 2, 1, 1, 1, 1, 2, 7, 1, 1, 1, 1, 12, 2, 7, 2, 2, 4, 7, 2, 2, 2, 2, 2, 11, 1, 1, 4, 2, 8, 2, 1, 1, 1, 11, 5, 1, 1, 2, 2, 9, 4, 2, 2, 1, 4, 5, 4, 1, 1, 4, 6, 13, 2, 2, 1, 7, 2, 6, 5, 5, 9, 2, 4, 1, 3, 4, 6, 4, 2, 3, 2, 2, 5, 4, 2, 7, 8, 3, 1, 7, 13, 10, 10, 8, 9, 1, 3, 1, 8, 2, 5, 7, 3, 1, 3, 3, 1, 5, 2, 3, 6, 9, 5, 14, 7, 2, 5, 1, 5, 8, 4, 6, 1, 7, 2, 1, 9, 5, 1, 1, 4, 6, 1, 1, 5, 4, 5, 8, 1, 8, 6, 1, 1, 2, 3, 3, 2, 4, 3, 2, 9, 1, 2, 1, 2, 3, 3, 3, 2, 4, 7, 1, 12, 2, 2, 10, 11, 4, 7, 4, 2, 3, 7, 3, 2, 1, 1, 4, 1, 5, 4, 3, 4, 7, 7, 1, 2, 6, 6, 4, 8, 2, 3, 3, 1, 12, 5, 4, 11, 12, 1, 4, 6, 3, 3, 4, 1, 2, 1, 7, 1, 10, 1, 2, 5, 1, 2, 2, 4, 1, 1, 3, 1, 1, 10, 12, 3, 3, 6, 2, 2, 2, 6, 2, 10, 2, 3, 2, 6, 2, 1, 3, 1, 1, 4, 4, 3, 2, 2, 9, 1, 4, 1, 1, 7, 2, 4, 4, 3, 2, 4, 1, 3, 1, 9, 4, 4, 4, 4, 4, 3, 4, 12, 2, 5, 1, 1, 3, 4, 4, 8, 1, 5, 7, 1, 1, 1, 8, 6, 3, 5, 2, 1, 3, 8, 1, 5, 2, 4, 1, 1, 8, 1, 8, 1, 4, 1, 1, 2, 5, 2, 4, 1, 3, 6, 2, 3, 4, 6, 7, 3, 2, 3, 3, 3, 4, 6, 8, 10, 1, 2, 1, 11, 2, 1, 4, 6, 2, 1, 1, 2, 2, 2, 4, 2, 5, 16, 1, 2, 5, 4, 8, 2, 1, 12, 3, 7, 1, 3, 4, 8, 1, 4, 4, 8, 1, 2, 3, 5, 1, 2, 2, 5, 2, 10, 2, 3, 1, 8, 4, 10, 4, 13, 16, 3, 3, 11, 5, 4, 6, 1, 1, 2, 10, 5, 1, 5, 1, 3, 13, 3, 6, 7, 6, 5, 5, 3, 3, 2, 6, 6, 5, 1, 1, 4, 1, 1, 3, 3, 15, 1, 3, 2, 7, 10, 2, 1, 8, 6, 15, 11, 2, 4, 1, 3, 8, 8, 2, 6, 2, 1, 2, 1, 3, 3, 3, 8, 1, 1, 7, 6, 4, 2, 4, 1, 8, 5, 1, 6, 1, 7, 3, 2, 3, 2, 7, 2, 2, 3, 6, 2, 5, 2, 1, 6, 1, 6, 6, 10, 3, 2, 3, 12, 2, 2, 6, 3, 1, 2, 14, 5, 7, 5, 6, 4, 3, 5, 1, 6, 1, 3, 3, 2, 2, 1, 3, 7, 3, 1, 1, 1, 4, 1, 4, 1, 2, 3, 5, 4, 1, 1, 4, 5, 5, 3, 1, 10, 4, 1, 2, 3, 2, 6, 5, 3, 1, 7, 6, 6, 2, 10, 4, 7, 3, 10, 2, 1, 5, 5, 3, 1, 1, 4, 2, 3, 4, 2, 2, 1, 3, 5, 2, 10, 2, 1, 1, 4, 2, 1, 28, 1, 8, 1, 7, 4, 2, 5, 12, 1, 2, 1, 6, 1, 1, 2, 1, 5, 4, 11, 1, 1, 7, 1, 3, 9, 1, 3, 3, 1, 1, 8, 4, 3, 6, 7, 5, 1, 3, 7, 1, 2, 2, 17, 1, 3, 1, 4, 2, 5, 1, 5, 3, 1, 1, 3, 4, 1, 2, 2, 4, 3, 1, 3, 2, 1, 4, 5, 8, 4, 1, 1, 10, 2, 10, 2, 6, 1, 1, 2, 1, 6, 9, 2, 6, 5, 1, 5, 12, 8, 4, 3, 7, 9, 2, 14, 14, 7, 4, 8, 6, 4, 2, 1, 5, 3, 5, 1, 3, 2, 1, 1, 5, 5, 4, 5, 3, 6, 4, 2, 11, 5, 10, 21, 12, 3, 5, 3, 4, 2, 1, 3, 12, 2, 2, 11, 2, 4, 2, 16, 1, 3, 6, 5, 1, 11, 2, 7, 4, 9, 1, 2, 6, 3, 4, 8, 7, 3, 1, 1, 2, 1, 7, 6, 9, 5, 1, 3, 5, 1, 1, 10, 19, 3, 1, 1, 10, 1, 1, 3, 9, 2, 7, 5, 3, 2, 2, 2, 1, 1, 4, 1, 3, 11, 1, 5, 3, 2, 2, 4, 4, 3, 1, 1, 2, 4, 1, 5, 4, 2, 6, 2, 6, 2, 1, 4, 1, 1, 5, 6, 7, 3, 2, 2, 4, 1, 5, 1, 4, 4, 2, 10, 8, 1, 1, 1, 3, 2, 3, 1, 6, 2, 1, 2, 4, 3, 2, 1, 2, 6, 1, 2, 17, 6, 1, 5, 1, 5, 2, 4, 2, 4, 4, 9, 1, 1, 3, 13, 8, 1, 8, 4, 1, 1, 2, 5, 4, 1, 2, 2, 10, 8, 1, 2, 3, 5, 5, 1, 3, 1, 3, 2, 1, 2, 2, 2, 1, 6, 3, 2, 1, 5, 7, 1, 1, 6, 1, 7, 8, 5, 1, 1, 1, 4, 1, 1, 8, 2, 1, 3, 8, 2, 1, 2, 1, 2, 8, 1, 6, 6, 2, 2, 15, 4, 1, 3, 4, 7, 2, 1, 8, 2, 2, 3, 15, 3, 2, 7, 10, 13, 5, 3, 1, 8, 7, 11, 2, 5, 1, 10, 3, 2, 3, 3, 1, 2, 2, 5, 2, 4, 6, 3, 3, 2, 2, 10, 2, 2, 1, 1, 2, 6, 3, 10, 1, 2, 3, 6, 2, 1, 2, 1, 13, 3, 3, 6, 7, 2, 2, 3, 1, 2, 3, 1, 5, 3, 1, 5, 5, 4, 4, 4, 1, 5, 5, 5, 5, 3, 4, 9, 1, 9, 2, 1, 12, 2, 1, 3, 2, 14, 1, 1, 3, 3, 7, 3, 3, 6, 1, 5, 14, 8, 2, 3, 3, 1, 2, 3, 1, 2, 2, 6, 2, 20, 4, 1, 10, 3, 10, 1, 1, 3, 7, 5, 3, 1, 2, 5, 5, 2, 2, 9, 12, 5, 4, 2, 8, 3, 3, 7, 2, 2, 5, 4, 4, 1, 1, 4, 8, 3, 1, 1, 4, 1, 17, 2, 1, 2, 6, 4, 2, 3, 1, 1, 11, 1, 5, 4, 10, 1, 4, 5, 5, 2, 1, 1, 2, 13, 3, 4, 4, 3, 1, 3, 2, 7, 1, 2, 5, 5, 2, 2, 3, 4, 1, 3, 1, 5, 8, 1, 2, 4, 8, 3, 6, 6, 10, 1, 6, 6, 2, 7, 1, 1, 2, 7, 6, 2, 1, 1, 1, 4, 9, 8, 1, 4, 4, 2, 4, 3, 3, 2, 1, 8, 6, 7, 5, 10, 3, 17, 1, 2, 2, 7, 2, 1, 5, 3, 5, 3, 8, 12, 3, 1, 3, 2, 2, 4, 2, 1, 3, 1, 2, 1, 2, 7, 7, 1, 2, 5, 8, 4, 1, 6, 1, 2, 4, 4, 10, 5, 1, 1, 2, 2, 1, 3, 4, 4, 1, 6, 2, 1, 7, 2, 3, 6, 4, 2, 3, 5, 7, 1, 3, 1, 10, 4, 5, 10, 3, 1, 3, 5, 2, 1, 2, 2, 6, 5, 7, 2, 3, 4, 7, 6, 2, 13, 3, 2, 5, 3, 2, 2, 5, 2, 11, 5, 11, 3, 9, 1, 1, 5, 1, 8, 1, 4, 2, 5, 5, 1, 1, 4, 2, 10, 11, 3, 1, 3, 4, 2, 11, 3, 7, 4, 5, 6, 7, 7, 1, 3, 1, 1, 7, 5, 1, 1, 3, 6, 5, 10, 1, 7, 1, 2, 2, 2, 1, 5, 1, 2, 3, 2, 2, 2, 1, 7, 2, 4, 2, 2, 4, 9, 2, 13, 2, 5, 4, 1, 3, 8, 2, 4, 3, 4, 1, 2, 5, 6, 5, 2, 3, 1, 2, 2, 8, 7, 1, 4, 7, 12, 5, 19, 4, 5, 2, 5, 3, 1, 1, 5, 2, 9, 6, 1, 11, 6, 1, 1, 4, 2, 6, 6, 2, 1, 4, 3, 2, 8, 2, 3, 1, 1, 2, 1, 10, 7, 2, 3, 1, 3, 13, 4, 4, 1, 5, 1, 1, 15, 2, 1, 1, 2, 1, 3, 6, 13, 4, 2, 1, 1, 6, 4, 2, 7, 2, 2, 3, 1, 2, 3, 7, 1, 5, 3, 2, 5, 1, 2, 3, 1, 6, 2, 3, 5, 6, 2, 9, 1, 2, 3, 1, 1, 7, 7, 20, 11, 3, 3, 3, 1, 1, 2, 2, 5, 6, 5, 1, 5, 3, 3, 9, 4, 1, 1, 5, 1, 4, 1, 1, 7, 2, 2, 4, 3, 13, 3, 11, 3, 6, 4, 2, 1, 6, 4, 4, 1, 5, 4, 4, 10, 2, 2, 7, 2, 1, 5, 1, 4, 1, 1, 3, 19, 2, 4, 7, 4, 5, 10, 4, 4, 1, 7, 1, 6, 2, 3, 1, 5, 10, 4, 4, 1, 4, 2, 2, 3, 9, 4, 1, 1, 4, 2, 1, 1, 3, 8, 1, 2, 14, 5, 1, 5, 1, 1, 13, 1, 2, 3, 2, 2, 1, 1, 1, 1, 4, 5, 2, 1, 4, 2, 8, 1, 1, 3, 1, 1, 3, 3, 2, 9, 2, 3, 5, 1, 4, 12, 1, 2, 1, 1, 1, 1, 1, 2, 2, 11, 1, 6, 1, 8, 10, 2, 9, 1, 5, 9, 4, 4, 12, 7, 1, 3, 2, 8, 3, 1, 3, 1, 7, 4, 3, 1, 2, 8, 7, 6, 1, 10, 1, 1, 1, 6, 8, 3, 5, 2, 1, 2, 4, 8, 12, 10, 2, 3, 5, 2, 3, 3, 1, 8, 1, 2, 1, 5, 5, 3, 1, 4, 3, 5, 1, 7, 7, 7, 1, 2, 6, 8, 4, 3, 1, 4, 4, 2, 9, 5, 5, 5, 9, 1, 4, 1, 18, 7, 1, 3, 9, 1, 2, 2, 8, 3, 9, 7, 8, 2, 2, 2, 4, 7, 1, 5, 1, 6, 1, 10, 4, 1, 14, 4, 6, 8, 8, 3, 4, 1, 5, 3, 3, 4, 1, 2, 2, 2, 1, 16, 4, 5, 12, 4, 5, 5, 6, 4, 4, 12, 3, 2, 4, 5, 5, 7, 1, 1, 1, 1, 9, 2, 7, 1, 1, 10, 1, 5, 3, 2, 1, 6, 2, 2, 5, 3, 1, 2, 1, 11, 2, 3, 1, 1, 4, 1, 1, 3, 5, 2, 2, 1, 6, 1, 3, 8, 2, 4, 4, 5, 11, 1, 3, 2, 4, 13, 1, 4, 7, 1, 2, 18, 5, 7, 8, 2, 10, 2, 6, 6, 1, 1, 8, 1, 2, 1, 1, 1, 4, 5, 1, 5, 6, 7, 1, 4, 6, 3, 3, 9, 2, 2, 1, 1, 8, 11, 7, 5, 5, 3, 3, 4, 2, 3, 7, 4, 11, 7, 8, 3, 1, 1, 2, 1, 1, 4, 9, 1, 1, 7, 9, 9, 2, 1, 2, 1, 4, 4, 16, 6, 16, 2, 2, 5, 2, 6, 4, 5, 3, 4, 2, 2, 1, 3, 2, 8, 2, 3, 1, 2, 2, 2, 2, 4, 3, 4, 4, 2, 2, 8, 1, 5, 1, 14, 4, 2, 3, 2, 1, 4, 3, 8, 5, 4, 2, 4, 1, 1, 11, 1, 7, 7, 2, 2, 1, 3, 2, 2, 1, 4, 1, 4, 7, 2, 5, 4, 6, 1, 1, 7, 1, 1, 1, 1, 1, 9, 10, 1, 2, 1, 2, 1, 2, 3, 1, 4, 1, 5, 1, 2, 8, 2, 2, 1, 1, 6, 2, 2, 1, 4, 4, 7, 4, 3, 2, 11, 4, 2, 1, 7, 2, 1, 3, 1, 3, 1, 10, 7, 5, 3, 5, 3, 7, 1, 2, 4, 9, 10, 6, 1, 5, 1, 2, 9, 3, 3, 2, 1, 2, 5, 3, 8, 2, 3, 1, 1, 4, 1, 3, 1, 1, 3, 1, 1, 2, 6, 6, 3, 5, 5, 1, 4, 2, 6, 6, 4, 4, 8, 3, 1, 1, 3, 1, 10, 1, 2, 2, 1, 4, 4, 1, 1, 1, 2, 5, 1, 3, 7, 4, 3, 4, 3, 1, 2, 3, 4, 5, 6, 5, 1, 6, 2, 2, 7, 2, 2, 11, 2, 1, 1, 1, 7, 8, 5, 4, 5, 2, 1, 1, 2, 7, 6, 1, 5, 4, 6, 1, 1, 2, 3, 11, 3, 6, 8, 4, 13, 2, 10, 1, 7, 3, 1, 7, 1, 2, 1, 1, 3, 5, 5, 4, 2, 9, 1, 5, 3, 3, 2, 3, 4, 2, 3, 4, 1, 3, 1, 1, 5, 4, 1, 15, 4, 1, 3, 9, 2, 3, 2, 11, 1, 2, 2, 3, 8, 6, 1, 8, 1, 5, 4, 6, 1, 4, 1, 2, 1, 6, 1, 8, 3, 1, 1, 3, 4, 1, 10, 2, 11, 1, 1, 5, 1, 5, 2, 4, 1, 4, 3, 3, 2, 4, 11, 3, 5, 3, 3, 4, 7, 2, 2, 7, 7, 4, 1, 12, 4, 3, 1, 4, 6, 2, 6, 10, 2, 2, 5, 6, 1, 17, 5, 1, 10, 3, 1, 1, 7, 10, 4, 4, 2, 1, 2, 2, 1, 7, 1, 9, 5, 1, 1, 3, 8, 1, 2, 4, 8, 1, 9, 1, 1, 1, 6, 1, 1, 5, 3, 1, 1, 1, 1, 3, 8, 5, 1, 8, 12, 5, 6, 6, 8, 2, 5, 1, 5, 3, 4, 8, 2, 5, 10, 1, 3, 1, 11, 4, 1, 8, 17, 3, 3, 6, 1, 1, 1, 2, 11, 5, 1, 8, 2, 5, 8, 2, 1, 1, 14, 5, 1, 5, 1, 1, 3, 13, 3, 6, 3, 5, 4, 8, 6, 2, 6, 3, 4, 3, 3, 7, 8, 1, 2, 2, 4, 8, 1, 1, 1, 9, 5, 2, 1, 6, 1, 2, 5, 1, 4, 2, 1, 4, 2, 1, 1, 3, 3, 4, 7, 1, 3, 3, 2, 5, 4, 5, 2, 6, 4, 1, 1, 8, 5, 3, 3, 5, 3, 6, 1, 8, 3, 6, 2, 2, 3, 8, 4, 2, 10, 5, 3, 2, 7, 2, 2, 1, 1, 4, 4, 13, 3, 1, 3, 3, 4, 1, 2, 3, 3, 2, 2, 1, 2]