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
6,010
22,901,369 combos · 35.9% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: bursty
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 #15 = {16} random

Descriptive

Apariții
4204
Mean ± std
3.98 ± 3.5
CV (std/mean)
0.879
Min/Max gap
1 / 29
Last seen
16739 (gap actual: 15)

Percentile gap-uri

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

Streaks & Pattern

Hot streak (consecutive)
6
Cold streak (max absență)
29
Autocorrelation lag-1
-0.008
Drift (h2-h1)
-0.17
Best period T
T=19 (entropy=0.001)

Overdue Status

Current gap
15
vs mean (z-score)
3.15 σ
vs P95
1.36x

Statistical Test (Chi-square)

chi²
416.89
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2942 / 1262 apariții
Mean train
4.01
MAE
2.54
Accuracy
36.7%
Erori per pred
[21,1,1,3,3,2,6,0,3,2,2,3,1,3,10,1,3,3,1,2,2,2,2,4,2,1,1,2,2,19,2,3,0,1,1,3,3,0,3,0,1,4,0,2,1,1,12,2,1,11,4,1,3,3,3,2,2,3,2,1,2,5,1,2,2,2,3,1,1,5,2,7,3,2,2,3,3,2,7,3,2,2,3,1,2,0,0,1,2,3,3,3,1,5,3,3,2,8,3,1,2,1,4,3,4,1,3,2,3,2,1,5,3,4,0,3,3,3,4,1,2,3,0,3,1,2,1,3,3,1,3,1,3,3,2,3,1,13,1,3,1,3,1,3,2,6,2,2,3,2,3,1,1,2,2,3,2,1,3,2,2,1,8,2,5,5,2,3,2,3,2,3,3,2,1,1,4,3,0,4,3,3,0,1,3,3,1,2,1,2,3,3,3,1,2,2,1,2,3,0,3,1,3,2,3,2,3,0,3,3,5,3,2,1,1,2,3,1,3,2,3,4,4,1,3,3,3,8,2,2,3,1,3,3,1,2,3,0,1,2,0,2,1,3,11,0,2,1,3,3,3,3,2,3,3,3,8,1,1,3,1,3,6,0,2,0,3,3,3,2,0,2,2,6,1,1,0,5,1,1,2,1,2,4,5,3,3,2,3,7,2,1,4,11,0,1,3,0,3,6,2,1,0,2,1,1,2,3,6,4,5,2,1,3,8,1,0,0,2,2,1,2,3,6,0,2,2,2,2,3,1,3,2,2,0,0,5,2,2,2,2,3,1,0,1,0,5,8,2,0,0,1,3,2,8,0,1,3,3,2,2,2,3,1,11,1,4,1,3,2,3,1,3,3,0,2,6,1,1,0,2,2,22,0,2,1,1,3,2,4,2,1,3,0,3,2,3,3,7,2,3,3,2,4,2,2,1,3,1,1,2,3,6,0,1,3,2,3,1,2,2,2,0,3,1,0,3,2,0,5,0,1,2,4,3,3,1,0,1,2,3,4,10,4,2,1,3,3,1,1,1,2,2,0,2,10,3,1,4,1,2,3,2,3,2,0,1,3,2,3,2,3,9,2,3,5,3,0,2,1,3,4,2,4,3,2,3,5,2,2,2,1,1,3,3,3,3,2,3,0,3,2,5,5,3,2,1,4,1,3,3,1,2,3,1,2,2,3,3,3,3,1,1,0,3,2,0,3,1,2,1,1,3,2,1,3,3,3,3,0,2,6,3,3,2,0,8,2,1,2,1,2,3,0,2,0,2,1,2,1,2,2,2,5,1,2,2,3,3,2,2,2,5,2,3,3,1,0,1,3,3,2,1,1,2,1,4,6,4,3,3,3,2,1,4,1,13,2,1,1,3,3,3,3,2,1,2,3,3,3,1,4,3,1,2,7,2,3,0,8,3,3,1,2,1,2,6,3,0,1,3,2,1,3,1,1,6,1,3,1,12,17,2,0,2,2,1,0,2,3,2,1,3,3,4,0,2,2,3,1,5,1,6,1,2,3,2,1,2,3,0,1,2,1,4,3,3,11,1,3,3,2,3,1,0,1,3,3,2,2,1,16,2,3,3,4,1,3,1,3,2,0,0,2,3,3,3,1,3,2,4,0,2,1,2,2,3,3,3,2,5,0,1,5,3,0,2,2,2,3,0,1,1,1,2,2,1,6,3,2,2,1,14,2,0,1,3,2,2,3,4,0,2,2,3,0,2,3,3,3,1,3,3,2,3,2,3,2,4,1,4,2,3,1,1,9,1,3,0,3,3,3,25,3,3,4,0,2,4,3,3,1,3,0,2,1,0,2,2,4,2,1,0,2,3,3,1,2,1,2,2,2,2,7,3,3,2,3,2,3,2,2,3,3,2,1,0,3,3,2,3,2,3,3,2,6,0,5,3,1,6,3,7,8,3,2,0,2,3,1,2,1,1,1,2,3,1,3,0,1,3,3,2,1,2,3,3,2,3,2,1,2,1,3,7,0,12,3,1,1,2,2,1,3,1,1,2,1,1,2,2,2,4,5,6,0,2,1,2,1,0,0,1,1,3,2,2,2,2,3,3,3,2,3,2,3,1,2,2,3,1,2,2,2,6,2,5,3,12,0,2,2,1,1,0,2,4,3,3,2,1,1,2,2,0,2,19,3,1,3,3,0,1,4,6,6,3,3,2,15,1,3,3,1,0,2,3,3,6,2,5,2,2,3,0,1,3,3,0,3,1,1,1,0,3,10,1,2,3,3,3,3,2,3,4,2,2,2,2,3,7,8,3,0,3,2,0,2,1,0,1,2,2,3,14,3,1,2,2,3,3,1,0,2,1,1,16,0,2,3,4,1,3,2,3,4,1,3,0,3,7,4,2,1,1,2,3,5,1,3,7,3,0,0,3,2,3,3,1,2,2,3,1,0,1,1,2,3,1,2,3,1,3,0,3,2,3,10,2,1,3,2,2,0,2,3,1,0,3,3,9,1,3,1,5,1,2,1,0,0,5,3,0,2,1,2,0,2,3,2,3,2,1,3,0,1,2,12,3,0,3,4,0,1,0,3,3,3,3,3,3,0,1,1,2,0,3,3,2,3,4,3,1,1,8,3,3,2,2,2,3,3,2,1,2,3,2,3,3,2,0,6,3,2,2,0,1,0,1,3,13,0,1,0,1,1,3,2,3,3,2,3,2,11,1,1,2,2,1,3,2,3,6,3,6,6,3,1,1,3,0,3,1,3,3,2,5,3,0,3,1,1,2,2,0,3,1,7,1,1,0,3,0,1,3,5,2,1,2,12,1,4,2,2,2,3,3,0,1,2,2,2,1,1,2,2,3,12,3,2,2,3,2,2,2,3,2,3,1,5,3,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.56
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.367
Total: 56.4%

🎯 Predicție următoarea apariție

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

Timeline apariții — densitate per perioadă

Extrageri 1-83: 21 apariții Extrageri 84-167: 25 apariții Extrageri 168-251: 28 apariții Extrageri 252-335: 21 apariții Extrageri 336-418: 19 apariții Extrageri 419-502: 28 apariții Extrageri 503-586: 20 apariții Extrageri 587-670: 16 apariții Extrageri 671-753: 22 apariții Extrageri 754-837: 15 apariții Extrageri 838-921: 25 apariții Extrageri 922-1005: 15 apariții Extrageri 1006-1089: 20 apariții Extrageri 1090-1172: 25 apariții Extrageri 1173-1256: 20 apariții Extrageri 1257-1340: 21 apariții Extrageri 1341-1424: 19 apariții Extrageri 1425-1507: 17 apariții Extrageri 1508-1591: 16 apariții Extrageri 1592-1675: 16 apariții Extrageri 1676-1759: 22 apariții Extrageri 1760-1842: 25 apariții Extrageri 1843-1926: 19 apariții Extrageri 1927-2010: 20 apariții Extrageri 2011-2094: 22 apariții Extrageri 2095-2178: 27 apariții Extrageri 2179-2261: 20 apariții Extrageri 2262-2345: 26 apariții Extrageri 2346-2429: 18 apariții Extrageri 2430-2513: 16 apariții Extrageri 2514-2596: 25 apariții Extrageri 2597-2680: 22 apariții Extrageri 2681-2764: 21 apariții Extrageri 2765-2848: 22 apariții Extrageri 2849-2931: 26 apariții Extrageri 2932-3015: 17 apariții Extrageri 3016-3099: 20 apariții Extrageri 3100-3183: 25 apariții Extrageri 3184-3267: 20 apariții Extrageri 3268-3350: 19 apariții Extrageri 3351-3434: 17 apariții Extrageri 3435-3518: 18 apariții Extrageri 3519-3602: 23 apariții Extrageri 3603-3685: 24 apariții Extrageri 3686-3769: 21 apariții Extrageri 3770-3853: 16 apariții Extrageri 3854-3937: 16 apariții Extrageri 3938-4020: 21 apariții Extrageri 4021-4104: 16 apariții Extrageri 4105-4188: 27 apariții Extrageri 4189-4272: 23 apariții Extrageri 4273-4356: 18 apariții Extrageri 4357-4439: 15 apariții Extrageri 4440-4523: 16 apariții Extrageri 4524-4607: 18 apariții Extrageri 4608-4691: 22 apariții Extrageri 4692-4774: 22 apariții Extrageri 4775-4858: 16 apariții Extrageri 4859-4942: 29 apariții Extrageri 4943-5026: 26 apariții Extrageri 5027-5109: 22 apariții Extrageri 5110-5193: 19 apariții Extrageri 5194-5277: 21 apariții Extrageri 5278-5361: 26 apariții Extrageri 5362-5445: 23 apariții Extrageri 5446-5528: 21 apariții Extrageri 5529-5612: 20 apariții Extrageri 5613-5696: 26 apariții Extrageri 5697-5780: 25 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 15 apariții Extrageri 5948-6031: 25 apariții Extrageri 6032-6115: 16 apariții Extrageri 6116-6198: 14 apariții Extrageri 6199-6282: 21 apariții Extrageri 6283-6366: 22 apariții Extrageri 6367-6450: 19 apariții Extrageri 6451-6534: 27 apariții Extrageri 6535-6617: 22 apariții Extrageri 6618-6701: 19 apariții Extrageri 6702-6785: 14 apariții Extrageri 6786-6869: 17 apariții Extrageri 6870-6952: 22 apariții Extrageri 6953-7036: 14 apariții Extrageri 7037-7120: 19 apariții Extrageri 7121-7204: 23 apariții Extrageri 7205-7287: 21 apariții Extrageri 7288-7371: 23 apariții Extrageri 7372-7455: 26 apariții Extrageri 7456-7539: 14 apariții Extrageri 7540-7623: 19 apariții Extrageri 7624-7706: 23 apariții Extrageri 7707-7790: 20 apariții Extrageri 7791-7874: 16 apariții Extrageri 7875-7958: 17 apariții Extrageri 7959-8041: 16 apariții Extrageri 8042-8125: 26 apariții Extrageri 8126-8209: 17 apariții Extrageri 8210-8293: 23 apariții Extrageri 8294-8377: 19 apariții Extrageri 8378-8460: 24 apariții Extrageri 8461-8544: 22 apariții Extrageri 8545-8628: 17 apariții Extrageri 8629-8712: 21 apariții Extrageri 8713-8795: 21 apariții Extrageri 8796-8879: 22 apariții Extrageri 8880-8963: 21 apariții Extrageri 8964-9047: 28 apariții Extrageri 9048-9130: 22 apariții Extrageri 9131-9214: 25 apariții Extrageri 9215-9298: 28 apariții Extrageri 9299-9382: 22 apariții Extrageri 9383-9466: 17 apariții Extrageri 9467-9549: 22 apariții Extrageri 9550-9633: 16 apariții Extrageri 9634-9717: 18 apariții Extrageri 9718-9801: 16 apariții Extrageri 9802-9884: 27 apariții Extrageri 9885-9968: 26 apariții Extrageri 9969-10052: 21 apariții Extrageri 10053-10136: 19 apariții Extrageri 10137-10219: 25 apariții Extrageri 10220-10303: 25 apariții Extrageri 10304-10387: 24 apariții Extrageri 10388-10471: 17 apariții Extrageri 10472-10555: 16 apariții Extrageri 10556-10638: 18 apariții Extrageri 10639-10722: 24 apariții Extrageri 10723-10806: 17 apariții Extrageri 10807-10890: 21 apariții Extrageri 10891-10973: 18 apariții Extrageri 10974-11057: 16 apariții Extrageri 11058-11141: 20 apariții Extrageri 11142-11225: 15 apariții Extrageri 11226-11308: 29 apariții Extrageri 11309-11392: 19 apariții Extrageri 11393-11476: 30 apariții Extrageri 11477-11560: 26 apariții Extrageri 11561-11644: 29 apariții Extrageri 11645-11727: 24 apariții Extrageri 11728-11811: 17 apariții Extrageri 11812-11895: 25 apariții Extrageri 11896-11979: 17 apariții Extrageri 11980-12062: 16 apariții Extrageri 12063-12146: 20 apariții Extrageri 12147-12230: 22 apariții Extrageri 12231-12314: 22 apariții Extrageri 12315-12397: 26 apariții Extrageri 12398-12481: 17 apariții Extrageri 12482-12565: 30 apariții Extrageri 12566-12649: 24 apariții Extrageri 12650-12733: 22 apariții Extrageri 12734-12816: 21 apariții Extrageri 12817-12900: 22 apariții Extrageri 12901-12984: 18 apariții Extrageri 12985-13068: 19 apariții Extrageri 13069-13151: 24 apariții Extrageri 13152-13235: 19 apariții Extrageri 13236-13319: 18 apariții Extrageri 13320-13403: 20 apariții Extrageri 13404-13486: 23 apariții Extrageri 13487-13570: 18 apariții Extrageri 13571-13654: 22 apariții Extrageri 13655-13738: 22 apariții Extrageri 13739-13822: 22 apariții Extrageri 13823-13905: 31 apariții Extrageri 13906-13989: 23 apariții Extrageri 13990-14073: 23 apariții Extrageri 14074-14157: 12 apariții Extrageri 14158-14240: 21 apariții Extrageri 14241-14324: 21 apariții Extrageri 14325-14408: 19 apariții Extrageri 14409-14492: 16 apariții Extrageri 14493-14575: 20 apariții Extrageri 14576-14659: 28 apariții Extrageri 14660-14743: 19 apariții Extrageri 14744-14827: 29 apariții Extrageri 14828-14911: 16 apariții Extrageri 14912-14994: 22 apariții Extrageri 14995-15078: 26 apariții Extrageri 15079-15162: 19 apariții Extrageri 15163-15246: 22 apariții Extrageri 15247-15329: 20 apariții Extrageri 15330-15413: 27 apariții Extrageri 15414-15497: 18 apariții Extrageri 15498-15581: 18 apariții Extrageri 15582-15664: 21 apariții Extrageri 15665-15748: 20 apariții Extrageri 15749-15832: 21 apariții Extrageri 15833-15916: 19 apariții Extrageri 15917-16000: 22 apariții Extrageri 16001-16083: 26 apariții Extrageri 16084-16167: 23 apariții Extrageri 16168-16251: 24 apariții Extrageri 16252-16335: 26 apariții Extrageri 16336-16418: 22 apariții Extrageri 16419-16502: 19 apariții Extrageri 16503-16586: 21 apariții Extrageri 16587-16670: 22 apariții Extrageri 16671-16754: 17 apariții 0 4189 8377 12566 16754 mean=21/bin max=31 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 4,204 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):
[1, 3, 14, 16, 20, 22, 28, 33, 34, 40, 48, 50, 51, 52, 59, 62, 65, 69, 71, 80, 83, 86, 90, 91, 92, 99, 101, 103, 104, 106, 113, 114, 116, 119, 120, 124, 133, 137, 138, 144, 147, 149, 150, 157, 160, 168, 170, 173, 175, 177, 179, 182, 183, 189, 190, 191, 192, 193, 203, 204, 207, 209, 216, 219, 220, 221, 224, 225, 232, 236, 243, 249, 250, 252, 259, 264, 269, 280, 282, 286, 293, 295, 299, 300, 301, 305, 307, 309, 313, 321, 322, 325, 327, 333, 334, 344, 352, 355, 365, 373, 390, 391, 393, 396, 398, 400, 401, 402, 403, 406, 409, 410, 411, 415, 421, 422, 427, 429, 430, 431, 432, 433, 435, 438, 439, 442, 443, 445, 447, 449, 452, 454, 458, 460, 476, 481, 482, 491, 492, 494, 495, 498, 505, 507, 511, 513, 515, 518, 521, 545, 551, 552, 555, 556, 562, 566, 568, 570, 575, 576, 579, 583, 589, 592, 597, 609, 625, 629, 632, 634, 639, 641, 642, 645, 649, 655, 656, 658, 675, 681, 695, 697, 698, 699, 701, 706, 710, 717, 718, 721, 723, 725, 726, 727, 730, 735, 745, 746, 751, 752, 767, 774, 777, 778, 789, 797, 799, 807, 809, 812, 815, 819, 822, 826, 827, 853, 854, 856, 857, 858, 863, 872, 873, 874, 875, 882, 884, 887, 888, 889, 890, 893, 897, 902, 905, 908, 915, 917, 918, 922, 926, 931, 932, 934, 942, 951, 957, 958, 966, 972, 978, 983, 997, 998, 1000, 1009, 1013, 1018, 1019, 1020, 1026, 1028, 1041, 1042, 1044, 1049, 1050, 1063, 1067, 1069, 1076, 1077, 1082, 1089, 1090, 1093, 1096, 1099, 1100, 1101, 1110, 1113, 1114, 1116, 1120, 1124, 1126, 1131, 1141, 1143, 1147, 1154, 1156, 1158, 1166, 1167, 1168, 1169, 1170, 1173, 1177, 1182, 1185, 1187, 1193, 1197, 1208, 1214, 1219, 1223, 1228, 1230, 1237, 1239, 1243, 1247, 1251, 1252, 1254, 1256, 1258, 1259, 1260, 1261, 1262, 1263, 1269, 1274, 1276, 1279, 1288, 1295, 1309, 1312, 1318, 1319, 1322, 1330, 1336, 1337, 1340, 1343, 1346, 1347, 1348, 1355, 1361, 1366, 1370, 1376, 1382, 1383, 1384, 1385, 1386, 1389, 1391, 1393, 1400, 1406, 1427, 1431, 1446, 1452, 1456, 1457, 1468, 1470, 1472, 1481, 1486, 1488, 1494, 1495, 1500, 1503, 1506, 1509, 1518, 1528, 1530, 1532, 1536, 1537, 1539, 1544, 1546, 1557, 1559, 1569, 1580, 1582, 1592, 1603, 1610, 1612, 1634, 1635, 1645, 1649, 1653, 1657, 1658, 1660, 1661, 1664, 1668, 1670, 1676, 1680, 1681, 1684, 1686, 1688, 1690, 1693, 1694, 1698, 1699, 1714, 1717, 1723, 1727, 1728, 1729, 1731, 1748, 1749, 1752, 1753, 1759, 1763, 1769, 1770, 1772, 1776, 1784, 1788, 1800, 1805, 1807, 1808, 1809, 1811, 1813, 1815, 1818, 1822, 1826, 1828, 1830, 1833, 1838, 1839, 1841, 1842, 1845, 1849, 1852, 1858, 1868, 1871, 1877, 1884, 1892, 1894, 1905, 1906, 1908, 1909, 1912, 1916, 1917, 1920, 1927, 1938, 1939, 1944, 1945, 1949, 1953, 1954, 1955, 1956, 1959, 1960, 1961, 1963, 1967, 1969, 1985, 1998, 2000, 2003, 2010, 2015, 2016, 2021, 2022, 2025, 2028, 2033, 2034, 2039, 2045, 2047, 2053, 2057, 2062, 2063, 2073, 2075, 2076, 2083, 2086, 2087, 2094, 2096, 2099, 2102, 2103, 2107, 2108, 2109, 2113, 2117, 2122, 2127, 2130, 2138, 2139, 2146, 2149, 2152, 2156, 2160, 2162, 2163, 2167, 2168, 2169, 2173, 2178, 2179, 2187, 2188, 2189, 2191, 2193, 2195, 2202, 2208, 2210, 2216, 2218, 2219, 2224, 2225, 2232, 2239, 2241, 2245, 2254, 2261, 2267, 2270, 2271, 2272, 2276, 2280, 2283, 2285, 2288, 2292, 2295, 2300, 2303, 2307, 2311, 2315, 2316, 2318, 2320, 2323, 2329, 2331, 2337, 2339, 2340, 2345, 2350, 2357, 2364, 2365, 2367, 2368, 2377, 2383, 2388, 2390, 2395, 2402, 2403, 2412, 2414, 2418, 2421, 2423, 2434, 2438, 2439, 2448, 2457, 2459, 2464, 2466, 2472, 2475, 2481, 2483, 2487, 2501, 2504, 2511, 2517, 2523, 2528, 2529, 2532, 2533, 2534, 2539, 2541, 2544, 2546, 2550, 2551, 2560, 2561, 2562, 2565, 2567, 2568, 2577, 2580, 2582, 2590, 2595, 2596, 2599, 2602, 2608, 2609, 2611, 2624, 2629, 2632, 2633, 2635, 2637, 2643, 2646, 2648, 2652, 2662, 2665, 2668, 2671, 2675, 2678, 2679, 2684, 2686, 2691, 2695, 2701, 2702, 2705, 2713, 2715, 2719, 2722, 2724, 2737, 2739, 2743, 2744, 2745, 2746, 2749, 2762, 2763, 2769, 2772, 2773, 2774, 2781, 2785, 2789, 2793, 2794, 2798, 2799, 2803, 2804, 2807, 2814, 2818, 2819, 2823, 2831, 2836, 2840, 2847, 2851, 2853, 2863, 2867, 2872, 2874, 2875, 2878, 2880, 2881, 2883, 2884, 2890, 2891, 2893, 2894, 2899, 2900, 2906, 2907, 2913, 2914, 2917, 2918, 2925, 2932, 2935, 2941, 2944, 2946, 2956, 2964, 2968, 2976, 2977, 2986, 2989, 2993, 3000, 3008, 3010, 3012, 3015, 3017, 3022, 3024, 3028, 3031, 3033, 3042, 3046, 3047, 3054, 3055, 3058, 3063, 3069, 3072, 3077, 3082, 3092, 3093, 3100, 3101, 3102, 3104, 3106, 3108, 3110, 3111, 3112, 3113, 3114, 3124, 3125, 3127, 3129, 3130, 3139, 3140, 3141, 3142, 3144, 3160, 3168, 3170, 3175, 3184, 3187, 3188, 3190, 3193, 3195, 3196, 3203, 3206, 3210, 3211, 3214, 3218, 3222, 3232, 3241, 3242, 3244, 3249, 3262, 3266, 3271, 3273, 3275, 3281, 3287, 3288, 3289, 3290, 3291, 3295, 3303, 3311, 3317, 3328, 3334, 3338, 3347, 3348, 3349, 3360, 3363, 3372, 3377, 3381, 3385, 3386, 3388, 3389, 3391, 3397, 3417, 3418, 3423, 3425, 3430, 3432, 3438, 3443, 3444, 3445, 3449, 3455, 3456, 3460, 3461, 3465, 3474, 3493, 3498, 3504, 3505, 3506, 3514, 3516, 3521, 3522, 3524, 3528, 3532, 3536, 3537, 3538, 3540, 3543, 3545, 3546, 3548, 3550, 3551, 3552, 3553, 3554, 3565, 3586, 3587, 3598, 3603, 3604, 3605, 3608, 3612, 3621, 3624, 3626, 3627, 3630, 3635, 3643, 3646, 3654, 3656, 3657, 3659, 3661, 3666, 3667, 3671, 3678, 3679, 3683, 3686, 3699, 3706, 3711, 3712, 3720, 3722, 3725, 3729, 3730, 3733, 3740, 3743, 3746, 3748, 3749, 3750, 3752, 3759, 3764, 3768, 3769, 3773, 3785, 3797, 3805, 3806, 3812, 3817, 3821, 3831, 3834, 3840, 3841, 3842, 3847, 3852, 3853, 3856, 3862, 3878, 3879, 3881, 3884, 3885, 3890, 3895, 3898, 3899, 3901, 3908, 3913, 3923, 3928, 3940, 3957, 3958, 3962, 3966, 3968, 3973, 3977, 3978, 3979, 3994, 3996, 3998, 3999, 4001, 4003, 4005, 4006, 4016, 4018, 4019, 4022, 4023, 4030, 4031, 4036, 4040, 4042, 4055, 4056, 4057, 4058, 4059, 4060, 4065, 4083, 4084, 4108, 4110, 4111, 4123, 4131, 4132, 4134, 4138, 4140, 4144, 4145, 4149, 4152, 4154, 4155, 4156, 4158, 4160, 4163, 4164, 4166, 4167, 4176, 4178, 4180, 4182, 4184, 4202, 4203, 4206, 4208, 4216, 4217, 4218, 4220, 4223, 4225, 4227, 4228, 4231, 4239, 4241, 4242, 4246, 4249, 4255, 4256, 4260, 4262, 4272, 4277, 4287, 4288, 4292, 4293, 4309, 4311, 4312, 4315, 4319, 4320, 4325, 4337, 4343, 4346, 4351, 4353, 4355, 4362, 4370, 4378, 4379, 4382, 4387, 4388, 4390, 4397, 4407, 4417, 4422, 4429, 4433, 4437, 4443, 4453, 4454, 4461, 4464, 4470, 4473, 4476, 4493, 4497, 4504, 4513, 4516, 4517, 4518, 4523, 4526, 4530, 4532, 4533, 4536, 4537, 4539, 4540, 4546, 4547, 4552, 4558, 4564, 4565, 4573, 4583, 4589, 4592, 4609, 4610, 4616, 4618, 4621, 4626, 4630, 4634, 4636, 4637, 4643, 4646, 4655, 4671, 4672, 4676, 4678, 4682, 4683, 4685, 4686, 4687, 4697, 4698, 4700, 4703, 4706, 4724, 4726, 4730, 4736, 4738, 4739, 4741, 4743, 4750, 4754, 4757, 4761, 4765, 4768, 4770, 4771, 4774, 4780, 4783, 4784, 4785, 4787, 4789, 4791, 4797, 4802, 4820, 4822, 4826, 4828, 4832, 4843, 4857, 4863, 4864, 4867, 4869, 4870, 4874, 4877, 4879, 4881, 4882, 4883, 4884, 4892, 4893, 4894, 4896, 4906, 4907, 4909, 4925, 4926, 4929, 4930, 4933, 4935, 4936, 4939, 4940, 4943, 4946, 4947, 4950, 4951, 4952, 4956, 4959, 4966, 4967, 4969, 4973, 4981, 4983, 4985, 4987, 5000, 5002, 5004, 5005, 5008, 5011, 5016, 5017, 5020, 5022, 5027, 5035, 5038, 5046, 5052, 5053, 5066, 5071, 5072, 5079, 5082, 5086, 5089, 5091, 5093, 5095, 5098, 5100, 5101, 5103, 5106, 5107, 5109, 5111, 5112, 5117, 5120, 5124, 5126, 5130, 5132, 5139, 5141, 5150, 5151, 5155, 5169, 5170, 5181, 5182, 5187, 5192, 5198, 5201, 5206, 5207, 5208, 5211, 5212, 5216, 5222, 5223, 5224, 5226, 5227, 5231, 5244, 5246, 5262, 5264, 5269, 5272, 5274, 5279, 5281, 5285, 5287, 5292, 5295, 5297, 5301, 5308, 5309, 5311, 5312, 5319, 5322, 5328, 5330, 5331, 5340, 5346, 5347, 5353, 5355, 5356, 5357, 5360, 5362, 5363, 5372, 5375, 5380, 5382, 5392, 5395, 5399, 5401, 5406, 5407, 5409, 5413, 5418, 5420, 5421, 5424, 5429, 5431, 5433, 5435, 5437, 5444, 5457, 5461, 5466, 5467, 5468, 5476, 5478, 5479, 5480, 5489, 5494, 5499, 5500, 5501, 5507, 5509, 5511, 5514, 5515, 5518, 5526, 5530, 5541, 5542, 5545, 5555, 5556, 5557, 5560, 5562, 5564, 5570, 5574, 5576, 5580, 5589, 5590, 5596, 5599, 5600, 5603, 5617, 5625, 5630, 5633, 5634, 5637, 5639, 5640, 5641, 5645, 5646, 5650, 5653, 5656, 5664, 5666, 5674, 5676, 5681, 5686, 5688, 5689, 5691, 5695, 5696, 5697, 5698, 5699, 5705, 5709, 5710, 5711, 5712, 5715, 5722, 5724, 5728, 5729, 5731, 5732, 5737, 5743, 5749, 5754, 5755, 5759, 5762, 5763, 5774, 5775, 5777, 5782, 5784, 5788, 5790, 5793, 5797, 5803, 5804, 5807, 5809, 5813, 5816, 5822, 5824, 5825, 5830, 5845, 5847, 5851, 5859, 5865, 5881, 5883, 5891, 5901, 5907, 5913, 5923, 5929, 5930, 5931, 5935, 5936, 5943, 5944, 5949, 5950, 5957, 5958, 5960, 5964, 5977, 5981, 5986, 5988, 5989, 5990, 6000, 6002, 6004, 6005, 6006, 6007, 6012, 6013, 6020, 6021, 6027, 6028, 6030, 6034, 6046, 6048, 6049, 6057, 6059, 6072, 6078, 6082, 6087, 6098, 6101, 6102, 6106, 6108, 6109, 6122, 6124, 6125, 6128, 6152, 6154, 6156, 6157, 6161, 6165, 6167, 6176, 6191, 6192, 6201, 6204, 6206, 6207, 6213, 6219, 6220, 6222, 6235, 6236, 6243, 6246, 6256, 6259, 6263, 6264, 6265, 6271, 6275, 6277, 6280, 6286, 6288, 6290, 6291, 6297, 6298, 6299, 6306, 6307, 6308, 6311, 6316, 6323, 6329, 6336, 6340, 6344, 6345, 6347, 6348, 6353, 6362, 6370, 6371, 6373, 6388, 6393, 6396, 6399, 6401, 6405, 6415, 6421, 6422, 6426, 6435, 6436, 6437, 6441, 6443, 6445, 6455, 6457, 6459, 6470, 6472, 6473, 6474, 6480, 6489, 6491, 6492, 6494, 6497, 6498, 6501, 6504, 6510, 6512, 6514, 6515, 6517, 6524, 6527, 6529, 6531, 6532, 6535, 6536, 6540, 6545, 6546, 6560, 6564, 6580, 6581, 6584, 6585, 6589, 6591, 6594, 6598, 6603, 6605, 6608, 6609, 6613, 6614, 6617, 6618, 6626, 6629, 6630, 6632, 6636, 6639, 6645, 6646, 6650, 6656, 6658, 6668, 6669, 6671, 6675, 6677, 6682, 6695, 6698, 6705, 6708, 6713, 6714, 6716, 6724, 6726, 6730, 6735, 6736, 6737, 6754, 6759, 6785, 6795, 6796, 6805, 6810, 6812, 6819, 6822, 6826, 6828, 6831, 6837, 6847, 6851, 6852, 6862, 6867, 6870, 6871, 6873, 6879, 6885, 6887, 6898, 6899, 6907, 6915, 6916, 6917, 6921, 6924, 6926, 6930, 6935, 6938, 6941, 6943, 6949, 6950, 6951, 6956, 6963, 6964, 6966, 6972, 6973, 6974, 6978, 6981, 6983, 7004, 7013, 7014, 7034, 7044, 7046, 7054, 7060, 7065, 7067, 7071, 7076, 7078, 7082, 7085, 7088, 7091, 7096, 7099, 7105, 7111, 7116, 7120, 7124, 7127, 7129, 7133, 7136, 7141, 7145, 7149, 7151, 7154, 7158, 7159, 7162, 7170, 7172, 7177, 7183, 7187, 7189, 7193, 7197, 7201, 7205, 7208, 7210, 7213, 7214, 7215, 7218, 7229, 7231, 7236, 7241, 7244, 7248, 7254, 7257, 7263, 7276, 7277, 7278, 7280, 7281, 7287, 7295, 7298, 7304, 7306, 7315, 7325, 7327, 7328, 7332, 7333, 7334, 7335, 7338, 7339, 7340, 7345, 7346, 7349, 7350, 7353, 7359, 7361, 7363, 7376, 7379, 7385, 7387, 7388, 7390, 7391, 7392, 7393, 7398, 7401, 7403, 7404, 7406, 7407, 7409, 7417, 7418, 7420, 7427, 7436, 7440, 7442, 7446, 7447, 7450, 7467, 7477, 7483, 7491, 7493, 7494, 7499, 7500, 7510, 7514, 7521, 7528, 7535, 7540, 7543, 7544, 7553, 7556, 7558, 7564, 7577, 7582, 7583, 7588, 7599, 7600, 7603, 7604, 7605, 7614, 7616, 7617, 7624, 7625, 7632, 7639, 7640, 7641, 7645, 7648, 7650, 7653, 7654, 7658, 7662, 7664, 7667, 7669, 7670, 7675, 7685, 7689, 7690, 7695, 7701, 7707, 7708, 7711, 7717, 7718, 7719, 7730, 7733, 7734, 7736, 7746, 7747, 7750, 7756, 7757, 7758, 7770, 7772, 7773, 7784, 7789, 7793, 7800, 7802, 7803, 7808, 7811, 7817, 7819, 7828, 7845, 7853, 7856, 7862, 7867, 7868, 7874, 7877, 7881, 7884, 7890, 7903, 7910, 7913, 7916, 7922, 7927, 7936, 7937, 7947, 7948, 7952, 7953, 7958, 7960, 7962, 7965, 7977, 7978, 7983, 7991, 7993, 8008, 8012, 8020, 8021, 8025, 8026, 8027, 8028, 8043, 8046, 8047, 8049, 8053, 8056, 8066, 8067, 8071, 8073, 8079, 8080, 8081, 8083, 8088, 8089, 8101, 8104, 8105, 8107, 8110, 8112, 8119, 8120, 8125, 8126, 8128, 8140, 8144, 8145, 8146, 8147, 8150, 8154, 8158, 8160, 8183, 8187, 8189, 8190, 8201, 8205, 8206, 8212, 8222, 8229, 8231, 8233, 8234, 8238, 8244, 8252, 8254, 8257, 8259, 8263, 8266, 8269, 8274, 8277, 8279, 8280, 8282, 8286, 8288, 8289, 8298, 8301, 8303, 8305, 8309, 8312, 8313, 8316, 8317, 8319, 8339, 8341, 8343, 8358, 8360, 8364, 8365, 8367, 8377, 8381, 8382, 8394, 8396, 8397, 8400, 8401, 8405, 8410, 8417, 8419, 8420, 8426, 8432, 8437, 8438, 8439, 8441, 8442, 8443, 8453, 8455, 8460, 8461, 8462, 8465, 8467, 8468, 8478, 8479, 8482, 8483, 8489, 8492, 8495, 8496, 8499, 8518, 8520, 8530, 8534, 8536, 8537, 8541, 8542, 8544, 8555, 8567, 8576, 8580, 8585, 8594, 8596, 8598, 8601, 8602, 8605, 8608, 8614, 8619, 8620, 8622, 8627, 8631, 8633, 8636, 8644, 8650, 8651, 8652, 8655, 8656, 8665, 8676, 8689, 8690, 8691, 8695, 8699, 8704, 8707, 8710, 8711, 8712, 8726, 8728, 8737, 8739, 8745, 8749, 8754, 8757, 8758, 8763, 8764, 8765, 8766, 8767, 8772, 8777, 8778, 8789, 8790, 8792, 8794, 8800, 8802, 8803, 8810, 8814, 8816, 8823, 8826, 8834, 8836, 8843, 8849, 8853, 8854, 8858, 8859, 8861, 8865, 8867, 8871, 8876, 8880, 8889, 8890, 8894, 8897, 8900, 8902, 8904, 8905, 8913, 8918, 8920, 8924, 8929, 8941, 8944, 8948, 8950, 8951, 8954, 8958, 8960, 8970, 8974, 8976, 8979, 8980, 8981, 8983, 8992, 8994, 8997, 9000, 9001, 9002, 9004, 9005, 9010, 9013, 9019, 9021, 9022, 9027, 9032, 9037, 9039, 9040, 9043, 9044, 9047, 9052, 9053, 9056, 9063, 9064, 9066, 9071, 9084, 9087, 9095, 9097, 9099, 9104, 9105, 9107, 9108, 9114, 9118, 9121, 9127, 9129, 9131, 9135, 9138, 9140, 9143, 9144, 9147, 9149, 9150, 9154, 9169, 9172, 9174, 9175, 9177, 9180, 9183, 9188, 9191, 9195, 9196, 9199, 9204, 9205, 9208, 9214, 9216, 9219, 9223, 9224, 9225, 9232, 9234, 9237, 9242, 9243, 9244, 9245, 9247, 9248, 9252, 9256, 9259, 9262, 9265, 9268, 9277, 9279, 9280, 9286, 9291, 9292, 9295, 9297, 9300, 9308, 9310, 9314, 9320, 9326, 9330, 9332, 9338, 9339, 9342, 9345, 9350, 9351, 9352, 9354, 9359, 9360, 9361, 9375, 9377, 9380, 9386, 9389, 9392, 9401, 9404, 9409, 9417, 9418, 9420, 9422, 9426, 9428, 9430, 9431, 9434, 9443, 9453, 9475, 9478, 9481, 9486, 9488, 9490, 9491, 9492, 9498, 9500, 9503, 9505, 9512, 9515, 9519, 9533, 9538, 9541, 9542, 9544, 9545, 9548, 9553, 9556, 9563, 9570, 9575, 9580, 9584, 9602, 9605, 9606, 9611, 9612, 9614, 9616, 9620, 9632, 9641, 9645, 9646, 9653, 9655, 9668, 9675, 9680, 9688, 9689, 9695, 9701, 9703, 9704, 9705, 9709, 9711, 9717, 9723, 9730, 9734, 9742, 9747, 9753, 9758, 9764, 9770, 9775, 9778, 9781, 9783, 9789, 9796, 9801, 9803, 9810, 9813, 9814, 9815, 9817, 9820, 9823, 9824, 9825, 9826, 9829, 9830, 9833, 9834, 9835, 9836, 9855, 9858, 9863, 9864, 9865, 9871, 9872, 9876, 9881, 9883, 9888, 9894, 9898, 9901, 9902, 9904, 9906, 9907, 9915, 9917, 9925, 9927, 9928, 9930, 9931, 9933, 9937, 9943, 9947, 9952, 9961, 9962, 9963, 9964, 9967, 9968, 9976, 9977, 9984, 9985, 9987, 10003, 10007, 10008, 10009, 10011, 10017, 10022, 10023, 10029, 10031, 10033, 10038, 10040, 10041, 10042, 10049, 10063, 10070, 10072, 10079, 10084, 10085, 10090, 10091, 10092, 10095, 10096, 10103, 10107, 10108, 10125, 10129, 10130, 10131, 10135, 10138, 10141, 10146, 10152, 10153, 10160, 10167, 10168, 10169, 10172, 10175, 10177, 10182, 10187, 10188, 10191, 10192, 10199, 10201, 10202, 10205, 10208, 10212, 10218, 10220, 10221, 10228, 10230, 10231, 10235, 10236, 10241, 10248, 10249, 10252, 10254, 10257, 10259, 10260, 10264, 10270, 10271, 10272, 10275, 10281, 10289, 10290, 10295, 10300, 10303, 10308, 10311, 10320, 10325, 10328, 10333, 10334, 10339, 10344, 10349, 10353, 10354, 10355, 10356, 10359, 10362, 10365, 10372, 10374, 10376, 10378, 10383, 10384, 10385, 10389, 10398, 10400, 10401, 10411, 10419, 10426, 10428, 10431, 10433, 10442, 10451, 10457, 10458, 10461, 10462, 10465, 10479, 10484, 10500, 10501, 10505, 10508, 10512, 10516, 10518, 10529, 10531, 10534, 10540, 10544, 10546, 10556, 10557, 10559, 10560, 10564, 10577, 10580, 10581, 10597, 10600, 10601, 10602, 10604, 10606, 10607, 10621, 10633, 10635, 10636, 10641, 10642, 10644, 10645, 10648, 10649, 10653, 10654, 10662, 10664, 10665, 10675, 10681, 10685, 10692, 10693, 10694, 10699, 10700, 10708, 10711, 10712, 10714, 10715, 10727, 10728, 10740, 10756, 10764, 10765, 10771, 10775, 10788, 10789, 10792, 10795, 10796, 10798, 10800, 10802, 10803, 10810, 10813, 10815, 10816, 10818, 10824, 10828, 10829, 10836, 10837, 10845, 10846, 10849, 10855, 10860, 10867, 10870, 10871, 10879, 10884, 10887, 10898, 10899, 10906, 10912, 10914, 10922, 10932, 10937, 10939, 10945, 10950, 10951, 10954, 10959, 10961, 10963, 10966, 10970, 10976, 10979, 10980, 10988, 10994, 11004, 11017, 11022, 11027, 11035, 11036, 11041, 11044, 11049, 11052, 11054, 11059, 11062, 11066, 11073, 11075, 11076, 11080, 11084, 11087, 11088, 11097, 11098, 11099, 11107, 11109, 11112, 11113, 11130, 11134, 11139, 11145, 11160, 11168, 11173, 11175, 11182, 11185, 11188, 11194, 11195, 11197, 11198, 11201, 11203, 11208, 11227, 11228, 11230, 11232, 11233, 11235, 11240, 11241, 11242, 11244, 11248, 11256, 11258, 11261, 11262, 11265, 11271, 11272, 11275, 11280, 11281, 11296, 11298, 11302, 11303, 11304, 11305, 11307, 11308, 11312, 11315, 11318, 11329, 11337, 11339, 11342, 11360, 11361, 11365, 11366, 11367, 11369, 11371, 11372, 11376, 11389, 11392, 11393, 11394, 11395, 11404, 11406, 11419, 11420, 11422, 11423, 11426, 11427, 11428, 11429, 11430, 11436, 11438, 11439, 11445, 11449, 11452, 11455, 11457, 11459, 11466, 11467, 11470, 11471, 11473, 11474, 11475, 11477, 11478, 11480, 11481, 11483, 11485, 11486, 11490, 11493, 11495, 11500, 11501, 11502, 11504, 11506, 11507, 11516, 11519, 11520, 11526, 11529, 11540, 11545, 11547, 11548, 11556, 11557, 11562, 11563, 11564, 11575, 11581, 11585, 11590, 11594, 11596, 11598, 11600, 11602, 11608, 11611, 11612, 11613, 11615, 11616, 11619, 11623, 11624, 11626, 11627, 11631, 11633, 11634, 11635, 11637, 11643, 11646, 11648, 11652, 11664, 11667, 11670, 11671, 11672, 11681, 11683, 11684, 11688, 11689, 11691, 11693, 11698, 11706, 11708, 11709, 11711, 11715, 11718, 11720, 11722, 11735, 11737, 11738, 11739, 11743, 11744, 11751, 11762, 11764, 11774, 11778, 11779, 11780, 11781, 11784, 11785, 11791, 11816, 11819, 11822, 11823, 11824, 11826, 11836, 11840, 11841, 11843, 11845, 11846, 11851, 11852, 11866, 11869, 11870, 11871, 11874, 11876, 11878, 11880, 11882, 11890, 11892, 11897, 11902, 11904, 11906, 11929, 11931, 11938, 11942, 11947, 11950, 11951, 11958, 11962, 11963, 11967, 11970, 11978, 11982, 11984, 11987, 11990, 12006, 12012, 12017, 12032, 12040, 12043, 12050, 12051, 12052, 12054, 12056, 12063, 12065, 12070, 12072, 12081, 12084, 12086, 12092, 12094, 12095, 12100, 12103, 12112, 12114, 12125, 12126, 12132, 12138, 12139, 12140, 12142, 12153, 12154, 12156, 12158, 12159, 12162, 12168, 12172, 12176, 12179, 12181, 12182, 12183, 12190, 12193, 12202, 12209, 12210, 12212, 12224, 12225, 12228, 12234, 12239, 12247, 12248, 12256, 12261, 12268, 12270, 12271, 12273, 12276, 12285, 12286, 12294, 12298, 12299, 12300, 12301, 12309, 12312, 12314, 12315, 12319, 12320, 12323, 12325, 12328, 12329, 12330, 12333, 12334, 12337, 12338, 12339, 12341, 12342, 12345, 12362, 12367, 12368, 12373, 12374, 12377, 12378, 12380, 12390, 12396, 12398, 12399, 12405, 12406, 12411, 12416, 12422, 12428, 12429, 12431, 12436, 12443, 12445, 12447, 12452, 12464, 12466, 12475, 12484, 12486, 12487, 12489, 12490, 12496, 12497, 12498, 12500, 12503, 12508, 12516, 12517, 12521, 12529, 12530, 12531, 12535, 12538, 12539, 12540, 12543, 12545, 12550, 12552, 12559, 12560, 12561, 12564, 12566, 12568, 12571, 12573, 12574, 12578, 12579, 12584, 12585, 12591, 12592, 12594, 12595, 12599, 12600, 12607, 12616, 12617, 12623, 12628, 12633, 12639, 12640, 12643, 12650, 12656, 12663, 12671, 12679, 12682, 12683, 12684, 12685, 12697, 12703, 12705, 12706, 12709, 12710, 12711, 12714, 12716, 12717, 12721, 12726, 12728, 12732, 12738, 12743, 12750, 12765, 12769, 12775, 12778, 12779, 12780, 12781, 12782, 12784, 12785, 12786, 12787, 12799, 12802, 12807, 12808, 12811, 12812, 12822, 12826, 12828, 12832, 12833, 12834, 12835, 12837, 12841, 12843, 12845, 12855, 12858, 12861, 12865, 12874, 12879, 12882, 12884, 12887, 12889, 12897, 12906, 12907, 12908, 12910, 12911, 12922, 12924, 12927, 12935, 12950, 12954, 12959, 12960, 12964, 12965, 12975, 12977, 12982, 12986, 12988, 12991, 12994, 12996, 12997, 13007, 13015, 13024, 13026, 13029, 13036, 13048, 13053, 13057, 13061, 13063, 13065, 13068, 13070, 13071, 13081, 13085, 13091, 13093, 13095, 13097, 13104, 13107, 13108, 13110, 13112, 13116, 13120, 13129, 13131, 13133, 13139, 13141, 13142, 13145, 13149, 13152, 13156, 13165, 13177, 13179, 13183, 13187, 13190, 13191, 13193, 13205, 13209, 13212, 13213, 13214, 13216, 13218, 13220, 13221, 13226, 13241, 13246, 13254, 13259, 13260, 13266, 13267, 13270, 13271, 13272, 13276, 13278, 13288, 13291, 13294, 13298, 13304, 13310, 13336, 13340, 13342, 13345, 13350, 13351, 13353, 13361, 13367, 13370, 13371, 13375, 13376, 13382, 13383, 13384, 13395, 13397, 13398, 13399, 13405, 13413, 13415, 13417, 13420, 13421, 13424, 13429, 13431, 13432, 13442, 13446, 13451, 13452, 13458, 13465, 13470, 13472, 13474, 13476, 13480, 13481, 13484, 13488, 13489, 13491, 13495, 13504, 13508, 13511, 13513, 13521, 13528, 13529, 13532, 13536, 13539, 13545, 13546, 13554, 13568, 13576, 13582, 13585, 13592, 13593, 13596, 13599, 13602, 13604, 13606, 13610, 13616, 13630, 13631, 13634, 13642, 13645, 13647, 13648, 13650, 13651, 13653, 13657, 13660, 13661, 13663, 13664, 13666, 13667, 13680, 13682, 13683, 13692, 13693, 13697, 13699, 13704, 13705, 13713, 13719, 13727, 13734, 13736, 13737, 13746, 13748, 13750, 13756, 13759, 13762, 13763, 13764, 13765, 13766, 13772, 13773, 13777, 13778, 13784, 13793, 13802, 13803, 13809, 13812, 13820, 13823, 13830, 13831, 13834, 13840, 13841, 13846, 13848, 13850, 13851, 13852, 13853, 13854, 13857, 13862, 13866, 13867, 13869, 13873, 13874, 13877, 13883, 13888, 13891, 13892, 13894, 13897, 13898, 13899, 13900, 13901, 13905, 13907, 13917, 13918, 13919, 13921, 13925, 13937, 13939, 13942, 13948, 13951, 13957, 13958, 13962, 13964, 13968, 13970, 13973, 13975, 13978, 13980, 13982, 13984, 13993, 13998, 14000, 14002, 14009, 14010, 14012, 14014, 14016, 14025, 14027, 14034, 14041, 14044, 14048, 14051, 14052, 14059, 14061, 14064, 14069, 14071, 14074, 14082, 14092, 14100, 14107, 14114, 14115, 14121, 14124, 14132, 14135, 14152, 14154, 14159, 14162, 14163, 14164, 14165, 14172, 14174, 14177, 14179, 14180, 14187, 14194, 14197, 14205, 14206, 14209, 14211, 14222, 14228, 14229, 14233, 14245, 14246, 14247, 14252, 14254, 14259, 14261, 14271, 14272, 14276, 14279, 14280, 14286, 14291, 14292, 14295, 14298, 14308, 14311, 14312, 14317, 14333, 14354, 14356, 14360, 14362, 14364, 14367, 14371, 14373, 14380, 14382, 14385, 14386, 14387, 14395, 14399, 14405, 14407, 14408, 14411, 14420, 14425, 14435, 14440, 14442, 14449, 14451, 14456, 14462, 14463, 14467, 14472, 14474, 14479, 14487, 14494, 14495, 14510, 14515, 14516, 14523, 14525, 14526, 14529, 14533, 14536, 14537, 14538, 14540, 14542, 14545, 14565, 14567, 14568, 14569, 14577, 14582, 14583, 14588, 14589, 14595, 14599, 14603, 14605, 14606, 14607, 14608, 14611, 14612, 14614, 14622, 14626, 14628, 14633, 14635, 14637, 14638, 14639, 14640, 14642, 14651, 14655, 14660, 14669, 14670, 14674, 14676, 14682, 14684, 14685, 14689, 14694, 14697, 14700, 14702, 14704, 14709, 14719, 14720, 14726, 14728, 14731, 14749, 14751, 14755, 14760, 14761, 14763, 14765, 14766, 14774, 14778, 14780, 14782, 14783, 14787, 14789, 14790, 14791, 14792, 14795, 14796, 14797, 14799, 14800, 14806, 14807, 14809, 14817, 14820, 14828, 14830, 14837, 14842, 14845, 14858, 14861, 14862, 14866, 14867, 14868, 14869, 14898, 14899, 14900, 14908, 14912, 14914, 14922, 14929, 14930, 14933, 14934, 14938, 14940, 14945, 14949, 14951, 14957, 14965, 14967, 14972, 14976, 14978, 14985, 14986, 14989, 14991, 14994, 14996, 14998, 15000, 15002, 15013, 15014, 15015, 15017, 15024, 15030, 15031, 15037, 15039, 15040, 15041, 15043, 15046, 15050, 15051, 15052, 15054, 15055, 15057, 15058, 15065, 15071, 15081, 15085, 15094, 15095, 15098, 15108, 15109, 15120, 15132, 15133, 15139, 15143, 15145, 15146, 15149, 15151, 15156, 15159, 15162, 15168, 15169, 15174, 15175, 15179, 15184, 15185, 15186, 15188, 15191, 15193, 15194, 15195, 15201, 15202, 15208, 15211, 15213, 15218, 15219, 15230, 15234, 15250, 15251, 15254, 15259, 15261, 15263, 15266, 15267, 15272, 15277, 15279, 15282, 15285, 15291, 15297, 15299, 15307, 15316, 15326, 15330, 15336, 15341, 15343, 15346, 15350, 15354, 15359, 15362, 15363, 15365, 15367, 15369, 15371, 15372, 15379, 15380, 15382, 15383, 15385, 15386, 15391, 15393, 15399, 15400, 15403, 15405, 15411, 15417, 15427, 15429, 15438, 15439, 15455, 15459, 15461, 15463, 15466, 15469, 15473, 15479, 15487, 15488, 15489, 15491, 15494, 15499, 15501, 15503, 15507, 15509, 15532, 15533, 15538, 15539, 15540, 15544, 15547, 15555, 15565, 15575, 15576, 15577, 15579, 15598, 15601, 15608, 15609, 15614, 15618, 15620, 15621, 15622, 15632, 15634, 15643, 15645, 15647, 15648, 15652, 15657, 15658, 15659, 15663, 15664, 15669, 15674, 15677, 15681, 15682, 15696, 15699, 15701, 15702, 15703, 15704, 15705, 15711, 15718, 15726, 15728, 15734, 15740, 15742, 15743, 15754, 15766, 15767, 15771, 15772, 15778, 15782, 15784, 15787, 15791, 15794, 15800, 15802, 15803, 15821, 15822, 15825, 15827, 15829, 15830, 15831, 15834, 15838, 15840, 15843, 15848, 15868, 15872, 15878, 15879, 15887, 15890, 15897, 15899, 15900, 15908, 15911, 15912, 15916, 15917, 15928, 15936, 15942, 15947, 15950, 15952, 15953, 15962, 15965, 15966, 15977, 15978, 15982, 15986, 15987, 15989, 15990, 15991, 15996, 15998, 16000, 16001, 16004, 16008, 16011, 16016, 16022, 16023, 16028, 16030, 16031, 16034, 16035, 16039, 16040, 16042, 16043, 16057, 16059, 16062, 16063, 16065, 16067, 16071, 16073, 16074, 16077, 16081, 16088, 16089, 16102, 16105, 16106, 16109, 16118, 16121, 16123, 16126, 16130, 16134, 16143, 16144, 16148, 16150, 16153, 16155, 16159, 16161, 16162, 16164, 16165, 16171, 16174, 16175, 16179, 16182, 16184, 16200, 16201, 16205, 16206, 16214, 16218, 16221, 16225, 16226, 16227, 16234, 16235, 16236, 16237, 16241, 16244, 16247, 16249, 16253, 16254, 16255, 16257, 16258, 16266, 16273, 16276, 16279, 16291, 16292, 16293, 16295, 16297, 16299, 16300, 16301, 16307, 16312, 16314, 16315, 16317, 16318, 16319, 16325, 16329, 16339, 16340, 16342, 16344, 16348, 16353, 16357, 16360, 16361, 16378, 16382, 16385, 16389, 16392, 16395, 16396, 16398, 16399, 16400, 16402, 16409, 16411, 16426, 16429, 16434, 16440, 16442, 16447, 16448, 16450, 16451, 16461, 16468, 16478, 16488, 16489, 16492, 16495, 16496, 16500, 16501, 16504, 16511, 16512, 16514, 16523, 16530, 16534, 16535, 16538, 16541, 16547, 16549, 16553, 16554, 16557, 16568, 16573, 16576, 16580, 16581, 16585, 16590, 16591, 16600, 16602, 16605, 16607, 16623, 16626, 16634, 16636, 16638, 16640, 16641, 16642, 16646, 16649, 16655, 16657, 16659, 16662, 16667, 16669, 16675, 16676, 16692, 16693, 16699, 16705, 16706, 16708, 16710, 16712, 16713, 16719, 16720, 16723, 16732, 16733, 16739]
Gap-uri:
[2, 11, 2, 4, 2, 6, 5, 1, 6, 8, 2, 1, 1, 7, 3, 3, 4, 2, 9, 3, 3, 4, 1, 1, 7, 2, 2, 1, 2, 7, 1, 2, 3, 1, 4, 9, 4, 1, 6, 3, 2, 1, 7, 3, 8, 2, 3, 2, 2, 2, 3, 1, 6, 1, 1, 1, 1, 10, 1, 3, 2, 7, 3, 1, 1, 3, 1, 7, 4, 7, 6, 1, 2, 7, 5, 5, 11, 2, 4, 7, 2, 4, 1, 1, 4, 2, 2, 4, 8, 1, 3, 2, 6, 1, 10, 8, 3, 10, 8, 17, 1, 2, 3, 2, 2, 1, 1, 1, 3, 3, 1, 1, 4, 6, 1, 5, 2, 1, 1, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 3, 2, 4, 2, 16, 5, 1, 9, 1, 2, 1, 3, 7, 2, 4, 2, 2, 3, 3, 24, 6, 1, 3, 1, 6, 4, 2, 2, 5, 1, 3, 4, 6, 3, 5, 12, 16, 4, 3, 2, 5, 2, 1, 3, 4, 6, 1, 2, 17, 6, 14, 2, 1, 1, 2, 5, 4, 7, 1, 3, 2, 2, 1, 1, 3, 5, 10, 1, 5, 1, 15, 7, 3, 1, 11, 8, 2, 8, 2, 3, 3, 4, 3, 4, 1, 26, 1, 2, 1, 1, 5, 9, 1, 1, 1, 7, 2, 3, 1, 1, 1, 3, 4, 5, 3, 3, 7, 2, 1, 4, 4, 5, 1, 2, 8, 9, 6, 1, 8, 6, 6, 5, 14, 1, 2, 9, 4, 5, 1, 1, 6, 2, 13, 1, 2, 5, 1, 13, 4, 2, 7, 1, 5, 7, 1, 3, 3, 3, 1, 1, 9, 3, 1, 2, 4, 4, 2, 5, 10, 2, 4, 7, 2, 2, 8, 1, 1, 1, 1, 3, 4, 5, 3, 2, 6, 4, 11, 6, 5, 4, 5, 2, 7, 2, 4, 4, 4, 1, 2, 2, 2, 1, 1, 1, 1, 1, 6, 5, 2, 3, 9, 7, 14, 3, 6, 1, 3, 8, 6, 1, 3, 3, 3, 1, 1, 7, 6, 5, 4, 6, 6, 1, 1, 1, 1, 3, 2, 2, 7, 6, 21, 4, 15, 6, 4, 1, 11, 2, 2, 9, 5, 2, 6, 1, 5, 3, 3, 3, 9, 10, 2, 2, 4, 1, 2, 5, 2, 11, 2, 10, 11, 2, 10, 11, 7, 2, 22, 1, 10, 4, 4, 4, 1, 2, 1, 3, 4, 2, 6, 4, 1, 3, 2, 2, 2, 3, 1, 4, 1, 15, 3, 6, 4, 1, 1, 2, 17, 1, 3, 1, 6, 4, 6, 1, 2, 4, 8, 4, 12, 5, 2, 1, 1, 2, 2, 2, 3, 4, 4, 2, 2, 3, 5, 1, 2, 1, 3, 4, 3, 6, 10, 3, 6, 7, 8, 2, 11, 1, 2, 1, 3, 4, 1, 3, 7, 11, 1, 5, 1, 4, 4, 1, 1, 1, 3, 1, 1, 2, 4, 2, 16, 13, 2, 3, 7, 5, 1, 5, 1, 3, 3, 5, 1, 5, 6, 2, 6, 4, 5, 1, 10, 2, 1, 7, 3, 1, 7, 2, 3, 3, 1, 4, 1, 1, 4, 4, 5, 5, 3, 8, 1, 7, 3, 3, 4, 4, 2, 1, 4, 1, 1, 4, 5, 1, 8, 1, 1, 2, 2, 2, 7, 6, 2, 6, 2, 1, 5, 1, 7, 7, 2, 4, 9, 7, 6, 3, 1, 1, 4, 4, 3, 2, 3, 4, 3, 5, 3, 4, 4, 4, 1, 2, 2, 3, 6, 2, 6, 2, 1, 5, 5, 7, 7, 1, 2, 1, 9, 6, 5, 2, 5, 7, 1, 9, 2, 4, 3, 2, 11, 4, 1, 9, 9, 2, 5, 2, 6, 3, 6, 2, 4, 14, 3, 7, 6, 6, 5, 1, 3, 1, 1, 5, 2, 3, 2, 4, 1, 9, 1, 1, 3, 2, 1, 9, 3, 2, 8, 5, 1, 3, 3, 6, 1, 2, 13, 5, 3, 1, 2, 2, 6, 3, 2, 4, 10, 3, 3, 3, 4, 3, 1, 5, 2, 5, 4, 6, 1, 3, 8, 2, 4, 3, 2, 13, 2, 4, 1, 1, 1, 3, 13, 1, 6, 3, 1, 1, 7, 4, 4, 4, 1, 4, 1, 4, 1, 3, 7, 4, 1, 4, 8, 5, 4, 7, 4, 2, 10, 4, 5, 2, 1, 3, 2, 1, 2, 1, 6, 1, 2, 1, 5, 1, 6, 1, 6, 1, 3, 1, 7, 7, 3, 6, 3, 2, 10, 8, 4, 8, 1, 9, 3, 4, 7, 8, 2, 2, 3, 2, 5, 2, 4, 3, 2, 9, 4, 1, 7, 1, 3, 5, 6, 3, 5, 5, 10, 1, 7, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 10, 1, 2, 2, 1, 9, 1, 1, 1, 2, 16, 8, 2, 5, 9, 3, 1, 2, 3, 2, 1, 7, 3, 4, 1, 3, 4, 4, 10, 9, 1, 2, 5, 13, 4, 5, 2, 2, 6, 6, 1, 1, 1, 1, 4, 8, 8, 6, 11, 6, 4, 9, 1, 1, 11, 3, 9, 5, 4, 4, 1, 2, 1, 2, 6, 20, 1, 5, 2, 5, 2, 6, 5, 1, 1, 4, 6, 1, 4, 1, 4, 9, 19, 5, 6, 1, 1, 8, 2, 5, 1, 2, 4, 4, 4, 1, 1, 2, 3, 2, 1, 2, 2, 1, 1, 1, 1, 11, 21, 1, 11, 5, 1, 1, 3, 4, 9, 3, 2, 1, 3, 5, 8, 3, 8, 2, 1, 2, 2, 5, 1, 4, 7, 1, 4, 3, 13, 7, 5, 1, 8, 2, 3, 4, 1, 3, 7, 3, 3, 2, 1, 1, 2, 7, 5, 4, 1, 4, 12, 12, 8, 1, 6, 5, 4, 10, 3, 6, 1, 1, 5, 5, 1, 3, 6, 16, 1, 2, 3, 1, 5, 5, 3, 1, 2, 7, 5, 10, 5, 12, 17, 1, 4, 4, 2, 5, 4, 1, 1, 15, 2, 2, 1, 2, 2, 2, 1, 10, 2, 1, 3, 1, 7, 1, 5, 4, 2, 13, 1, 1, 1, 1, 1, 5, 18, 1, 24, 2, 1, 12, 8, 1, 2, 4, 2, 4, 1, 4, 3, 2, 1, 1, 2, 2, 3, 1, 2, 1, 9, 2, 2, 2, 2, 18, 1, 3, 2, 8, 1, 1, 2, 3, 2, 2, 1, 3, 8, 2, 1, 4, 3, 6, 1, 4, 2, 10, 5, 10, 1, 4, 1, 16, 2, 1, 3, 4, 1, 5, 12, 6, 3, 5, 2, 2, 7, 8, 8, 1, 3, 5, 1, 2, 7, 10, 10, 5, 7, 4, 4, 6, 10, 1, 7, 3, 6, 3, 3, 17, 4, 7, 9, 3, 1, 1, 5, 3, 4, 2, 1, 3, 1, 2, 1, 6, 1, 5, 6, 6, 1, 8, 10, 6, 3, 17, 1, 6, 2, 3, 5, 4, 4, 2, 1, 6, 3, 9, 16, 1, 4, 2, 4, 1, 2, 1, 1, 10, 1, 2, 3, 3, 18, 2, 4, 6, 2, 1, 2, 2, 7, 4, 3, 4, 4, 3, 2, 1, 3, 6, 3, 1, 1, 2, 2, 2, 6, 5, 18, 2, 4, 2, 4, 11, 14, 6, 1, 3, 2, 1, 4, 3, 2, 2, 1, 1, 1, 8, 1, 1, 2, 10, 1, 2, 16, 1, 3, 1, 3, 2, 1, 3, 1, 3, 3, 1, 3, 1, 1, 4, 3, 7, 1, 2, 4, 8, 2, 2, 2, 13, 2, 2, 1, 3, 3, 5, 1, 3, 2, 5, 8, 3, 8, 6, 1, 13, 5, 1, 7, 3, 4, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 1, 5, 3, 4, 2, 4, 2, 7, 2, 9, 1, 4, 14, 1, 11, 1, 5, 5, 6, 3, 5, 1, 1, 3, 1, 4, 6, 1, 1, 2, 1, 4, 13, 2, 16, 2, 5, 3, 2, 5, 2, 4, 2, 5, 3, 2, 4, 7, 1, 2, 1, 7, 3, 6, 2, 1, 9, 6, 1, 6, 2, 1, 1, 3, 2, 1, 9, 3, 5, 2, 10, 3, 4, 2, 5, 1, 2, 4, 5, 2, 1, 3, 5, 2, 2, 2, 2, 7, 13, 4, 5, 1, 1, 8, 2, 1, 1, 9, 5, 5, 1, 1, 6, 2, 2, 3, 1, 3, 8, 4, 11, 1, 3, 10, 1, 1, 3, 2, 2, 6, 4, 2, 4, 9, 1, 6, 3, 1, 3, 14, 8, 5, 3, 1, 3, 2, 1, 1, 4, 1, 4, 3, 3, 8, 2, 8, 2, 5, 5, 2, 1, 2, 4, 1, 1, 1, 1, 6, 4, 1, 1, 1, 3, 7, 2, 4, 1, 2, 1, 5, 6, 6, 5, 1, 4, 3, 1, 11, 1, 2, 5, 2, 4, 2, 3, 4, 6, 1, 3, 2, 4, 3, 6, 2, 1, 5, 15, 2, 4, 8, 6, 16, 2, 8, 10, 6, 6, 10, 6, 1, 1, 4, 1, 7, 1, 5, 1, 7, 1, 2, 4, 13, 4, 5, 2, 1, 1, 10, 2, 2, 1, 1, 1, 5, 1, 7, 1, 6, 1, 2, 4, 12, 2, 1, 8, 2, 13, 6, 4, 5, 11, 3, 1, 4, 2, 1, 13, 2, 1, 3, 24, 2, 2, 1, 4, 4, 2, 9, 15, 1, 9, 3, 2, 1, 6, 6, 1, 2, 13, 1, 7, 3, 10, 3, 4, 1, 1, 6, 4, 2, 3, 6, 2, 2, 1, 6, 1, 1, 7, 1, 1, 3, 5, 7, 6, 7, 4, 4, 1, 2, 1, 5, 9, 8, 1, 2, 15, 5, 3, 3, 2, 4, 10, 6, 1, 4, 9, 1, 1, 4, 2, 2, 10, 2, 2, 11, 2, 1, 1, 6, 9, 2, 1, 2, 3, 1, 3, 3, 6, 2, 2, 1, 2, 7, 3, 2, 2, 1, 3, 1, 4, 5, 1, 14, 4, 16, 1, 3, 1, 4, 2, 3, 4, 5, 2, 3, 1, 4, 1, 3, 1, 8, 3, 1, 2, 4, 3, 6, 1, 4, 6, 2, 10, 1, 2, 4, 2, 5, 13, 3, 7, 3, 5, 1, 2, 8, 2, 4, 5, 1, 1, 17, 5, 26, 10, 1, 9, 5, 2, 7, 3, 4, 2, 3, 6, 10, 4, 1, 10, 5, 3, 1, 2, 6, 6, 2, 11, 1, 8, 8, 1, 1, 4, 3, 2, 4, 5, 3, 3, 2, 6, 1, 1, 5, 7, 1, 2, 6, 1, 1, 4, 3, 2, 21, 9, 1, 20, 10, 2, 8, 6, 5, 2, 4, 5, 2, 4, 3, 3, 3, 5, 3, 6, 6, 5, 4, 4, 3, 2, 4, 3, 5, 4, 4, 2, 3, 4, 1, 3, 8, 2, 5, 6, 4, 2, 4, 4, 4, 4, 3, 2, 3, 1, 1, 3, 11, 2, 5, 5, 3, 4, 6, 3, 6, 13, 1, 1, 2, 1, 6, 8, 3, 6, 2, 9, 10, 2, 1, 4, 1, 1, 1, 3, 1, 1, 5, 1, 3, 1, 3, 6, 2, 2, 13, 3, 6, 2, 1, 2, 1, 1, 1, 5, 3, 2, 1, 2, 1, 2, 8, 1, 2, 7, 9, 4, 2, 4, 1, 3, 17, 10, 6, 8, 2, 1, 5, 1, 10, 4, 7, 7, 7, 5, 3, 1, 9, 3, 2, 6, 13, 5, 1, 5, 11, 1, 3, 1, 1, 9, 2, 1, 7, 1, 7, 7, 1, 1, 4, 3, 2, 3, 1, 4, 4, 2, 3, 2, 1, 5, 10, 4, 1, 5, 6, 6, 1, 3, 6, 1, 1, 11, 3, 1, 2, 10, 1, 3, 6, 1, 1, 12, 2, 1, 11, 5, 4, 7, 2, 1, 5, 3, 6, 2, 9, 17, 8, 3, 6, 5, 1, 6, 3, 4, 3, 6, 13, 7, 3, 3, 6, 5, 9, 1, 10, 1, 4, 1, 5, 2, 2, 3, 12, 1, 5, 8, 2, 15, 4, 8, 1, 4, 1, 1, 1, 15, 3, 1, 2, 4, 3, 10, 1, 4, 2, 6, 1, 1, 2, 5, 1, 12, 3, 1, 2, 3, 2, 7, 1, 5, 1, 2, 12, 4, 1, 1, 1, 3, 4, 4, 2, 23, 4, 2, 1, 11, 4, 1, 6, 10, 7, 2, 2, 1, 4, 6, 8, 2, 3, 2, 4, 3, 3, 5, 3, 2, 1, 2, 4, 2, 1, 9, 3, 2, 2, 4, 3, 1, 3, 1, 2, 20, 2, 2, 15, 2, 4, 1, 2, 10, 4, 1, 12, 2, 1, 3, 1, 4, 5, 7, 2, 1, 6, 6, 5, 1, 1, 2, 1, 1, 10, 2, 5, 1, 1, 3, 2, 1, 10, 1, 3, 1, 6, 3, 3, 1, 3, 19, 2, 10, 4, 2, 1, 4, 1, 2, 11, 12, 9, 4, 5, 9, 2, 2, 3, 1, 3, 3, 6, 5, 1, 2, 5, 4, 2, 3, 8, 6, 1, 1, 3, 1, 9, 11, 13, 1, 1, 4, 4, 5, 3, 3, 1, 1, 14, 2, 9, 2, 6, 4, 5, 3, 1, 5, 1, 1, 1, 1, 5, 5, 1, 11, 1, 2, 2, 6, 2, 1, 7, 4, 2, 7, 3, 8, 2, 7, 6, 4, 1, 4, 1, 2, 4, 2, 4, 5, 4, 9, 1, 4, 3, 3, 2, 2, 1, 8, 5, 2, 4, 5, 12, 3, 4, 2, 1, 3, 4, 2, 10, 4, 2, 3, 1, 1, 2, 9, 2, 3, 3, 1, 1, 2, 1, 5, 3, 6, 2, 1, 5, 5, 5, 2, 1, 3, 1, 3, 5, 1, 3, 7, 1, 2, 5, 13, 3, 8, 2, 2, 5, 1, 2, 1, 6, 4, 3, 6, 2, 2, 4, 3, 2, 3, 1, 3, 2, 1, 4, 15, 3, 2, 1, 2, 3, 3, 5, 3, 4, 1, 3, 5, 1, 3, 6, 2, 3, 4, 1, 1, 7, 2, 3, 5, 1, 1, 1, 2, 1, 4, 4, 3, 3, 3, 3, 9, 2, 1, 6, 5, 1, 3, 2, 3, 8, 2, 4, 6, 6, 4, 2, 6, 1, 3, 3, 5, 1, 1, 2, 5, 1, 1, 14, 2, 3, 6, 3, 3, 9, 3, 5, 8, 1, 2, 2, 4, 2, 2, 1, 3, 9, 10, 22, 3, 3, 5, 2, 2, 1, 1, 6, 2, 3, 2, 7, 3, 4, 14, 5, 3, 1, 2, 1, 3, 5, 3, 7, 7, 5, 5, 4, 18, 3, 1, 5, 1, 2, 2, 4, 12, 9, 4, 1, 7, 2, 13, 7, 5, 8, 1, 6, 6, 2, 1, 1, 4, 2, 6, 6, 7, 4, 8, 5, 6, 5, 6, 6, 5, 3, 3, 2, 6, 7, 5, 2, 7, 3, 1, 1, 2, 3, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 19, 3, 5, 1, 1, 6, 1, 4, 5, 2, 5, 6, 4, 3, 1, 2, 2, 1, 8, 2, 8, 2, 1, 2, 1, 2, 4, 6, 4, 5, 9, 1, 1, 1, 3, 1, 8, 1, 7, 1, 2, 16, 4, 1, 1, 2, 6, 5, 1, 6, 2, 2, 5, 2, 1, 1, 7, 14, 7, 2, 7, 5, 1, 5, 1, 1, 3, 1, 7, 4, 1, 17, 4, 1, 1, 4, 3, 3, 5, 6, 1, 7, 7, 1, 1, 3, 3, 2, 5, 5, 1, 3, 1, 7, 2, 1, 3, 3, 4, 6, 2, 1, 7, 2, 1, 4, 1, 5, 7, 1, 3, 2, 3, 2, 1, 4, 6, 1, 1, 3, 6, 8, 1, 5, 5, 3, 5, 3, 9, 5, 3, 5, 1, 5, 5, 5, 4, 1, 1, 1, 3, 3, 3, 7, 2, 2, 2, 5, 1, 1, 4, 9, 2, 1, 10, 8, 7, 2, 3, 2, 9, 9, 6, 1, 3, 1, 3, 14, 5, 16, 1, 4, 3, 4, 4, 2, 11, 2, 3, 6, 4, 2, 10, 1, 2, 1, 4, 13, 3, 1, 16, 3, 1, 1, 2, 2, 1, 14, 12, 2, 1, 5, 1, 2, 1, 3, 1, 4, 1, 8, 2, 1, 10, 6, 4, 7, 1, 1, 5, 1, 8, 3, 1, 2, 1, 12, 1, 12, 16, 8, 1, 6, 4, 13, 1, 3, 3, 1, 2, 2, 2, 1, 7, 3, 2, 1, 2, 6, 4, 1, 7, 1, 8, 1, 3, 6, 5, 7, 3, 1, 8, 5, 3, 11, 1, 7, 6, 2, 8, 10, 5, 2, 6, 5, 1, 3, 5, 2, 2, 3, 4, 6, 3, 1, 8, 6, 10, 13, 5, 5, 8, 1, 5, 3, 5, 3, 2, 5, 3, 4, 7, 2, 1, 4, 4, 3, 1, 9, 1, 1, 8, 2, 3, 1, 17, 4, 5, 6, 15, 8, 5, 2, 7, 3, 3, 6, 1, 2, 1, 3, 2, 5, 19, 1, 2, 2, 1, 2, 5, 1, 1, 2, 4, 8, 2, 3, 1, 3, 6, 1, 3, 5, 1, 15, 2, 4, 1, 1, 1, 2, 1, 4, 3, 3, 11, 8, 2, 3, 18, 1, 4, 1, 1, 2, 2, 1, 4, 13, 3, 1, 1, 1, 9, 2, 13, 1, 2, 1, 3, 1, 1, 1, 1, 6, 2, 1, 6, 4, 3, 3, 2, 2, 7, 1, 3, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 4, 3, 2, 5, 1, 1, 2, 2, 1, 9, 3, 1, 6, 3, 11, 5, 2, 1, 8, 1, 5, 1, 1, 11, 6, 4, 5, 4, 2, 2, 2, 2, 6, 3, 1, 1, 2, 1, 3, 4, 1, 2, 1, 4, 2, 1, 1, 2, 6, 3, 2, 4, 12, 3, 3, 1, 1, 9, 2, 1, 4, 1, 2, 2, 5, 8, 2, 1, 2, 4, 3, 2, 2, 13, 2, 1, 1, 4, 1, 7, 11, 2, 10, 4, 1, 1, 1, 3, 1, 6, 25, 3, 3, 1, 1, 2, 10, 4, 1, 2, 2, 1, 5, 1, 14, 3, 1, 1, 3, 2, 2, 2, 2, 8, 2, 5, 5, 2, 2, 23, 2, 7, 4, 5, 3, 1, 7, 4, 1, 4, 3, 8, 4, 2, 3, 3, 16, 6, 5, 15, 8, 3, 7, 1, 1, 2, 2, 7, 2, 5, 2, 9, 3, 2, 6, 2, 1, 5, 3, 9, 2, 11, 1, 6, 6, 1, 1, 2, 11, 1, 2, 2, 1, 3, 6, 4, 4, 3, 2, 1, 1, 7, 3, 9, 7, 1, 2, 12, 1, 3, 6, 5, 8, 1, 8, 5, 7, 2, 1, 2, 3, 9, 1, 8, 4, 1, 1, 1, 8, 3, 2, 1, 4, 1, 3, 2, 3, 1, 1, 3, 1, 3, 1, 1, 2, 1, 3, 17, 5, 1, 5, 1, 3, 1, 2, 10, 6, 2, 1, 6, 1, 5, 5, 6, 6, 1, 2, 5, 7, 2, 2, 5, 12, 2, 9, 9, 2, 1, 2, 1, 6, 1, 1, 2, 3, 5, 8, 1, 4, 8, 1, 1, 4, 3, 1, 1, 3, 2, 5, 2, 7, 1, 1, 3, 2, 2, 3, 2, 1, 4, 1, 5, 1, 6, 1, 2, 1, 4, 1, 7, 9, 1, 6, 5, 5, 6, 1, 3, 7, 6, 7, 8, 8, 3, 1, 1, 1, 12, 6, 2, 1, 3, 1, 1, 3, 2, 1, 4, 5, 2, 4, 6, 5, 7, 15, 4, 6, 3, 1, 1, 1, 1, 2, 1, 1, 1, 12, 3, 5, 1, 3, 1, 10, 4, 2, 4, 1, 1, 1, 2, 4, 2, 2, 10, 3, 3, 4, 9, 5, 3, 2, 3, 2, 8, 9, 1, 1, 2, 1, 11, 2, 3, 8, 15, 4, 5, 1, 4, 1, 10, 2, 5, 4, 2, 3, 3, 2, 1, 10, 8, 9, 2, 3, 7, 12, 5, 4, 4, 2, 2, 3, 2, 1, 10, 4, 6, 2, 2, 2, 7, 3, 1, 2, 2, 4, 4, 9, 2, 2, 6, 2, 1, 3, 4, 3, 4, 9, 12, 2, 4, 4, 3, 1, 2, 12, 4, 3, 1, 1, 2, 2, 2, 1, 5, 15, 5, 8, 5, 1, 6, 1, 3, 1, 1, 4, 2, 10, 3, 3, 4, 6, 6, 26, 4, 2, 3, 5, 1, 2, 8, 6, 3, 1, 4, 1, 6, 1, 1, 11, 2, 1, 1, 6, 8, 2, 2, 3, 1, 3, 5, 2, 1, 10, 4, 5, 1, 6, 7, 5, 2, 2, 2, 4, 1, 3, 4, 1, 2, 4, 9, 4, 3, 2, 8, 7, 1, 3, 4, 3, 6, 1, 8, 14, 8, 6, 3, 7, 1, 3, 3, 3, 2, 2, 4, 6, 14, 1, 3, 8, 3, 2, 1, 2, 1, 2, 4, 3, 1, 2, 1, 2, 1, 13, 2, 1, 9, 1, 4, 2, 5, 1, 8, 6, 8, 7, 2, 1, 9, 2, 2, 6, 3, 3, 1, 1, 1, 1, 6, 1, 4, 1, 6, 9, 9, 1, 6, 3, 8, 3, 7, 1, 3, 6, 1, 5, 2, 2, 1, 1, 1, 1, 3, 5, 4, 1, 2, 4, 1, 3, 6, 5, 3, 1, 2, 3, 1, 1, 1, 1, 4, 2, 10, 1, 1, 2, 4, 12, 2, 3, 6, 3, 6, 1, 4, 2, 4, 2, 3, 2, 3, 2, 2, 2, 9, 5, 2, 2, 7, 1, 2, 2, 2, 9, 2, 7, 7, 3, 4, 3, 1, 7, 2, 3, 5, 2, 3, 8, 10, 8, 7, 7, 1, 6, 3, 8, 3, 17, 2, 5, 3, 1, 1, 1, 7, 2, 3, 2, 1, 7, 7, 3, 8, 1, 3, 2, 11, 6, 1, 4, 12, 1, 1, 5, 2, 5, 2, 10, 1, 4, 3, 1, 6, 5, 1, 3, 3, 10, 3, 1, 5, 16, 21, 2, 4, 2, 2, 3, 4, 2, 7, 2, 3, 1, 1, 8, 4, 6, 2, 1, 3, 9, 5, 10, 5, 2, 7, 2, 5, 6, 1, 4, 5, 2, 5, 8, 7, 1, 15, 5, 1, 7, 2, 1, 3, 4, 3, 1, 1, 2, 2, 3, 20, 2, 1, 1, 8, 5, 1, 5, 1, 6, 4, 4, 2, 1, 1, 1, 3, 1, 2, 8, 4, 2, 5, 2, 2, 1, 1, 1, 2, 9, 4, 5, 9, 1, 4, 2, 6, 2, 1, 4, 5, 3, 3, 2, 2, 5, 10, 1, 6, 2, 3, 18, 2, 4, 5, 1, 2, 2, 1, 8, 4, 2, 2, 1, 4, 2, 1, 1, 1, 3, 1, 1, 2, 1, 6, 1, 2, 8, 3, 8, 2, 7, 5, 3, 13, 3, 1, 4, 1, 1, 1, 29, 1, 1, 8, 4, 2, 8, 7, 1, 3, 1, 4, 2, 5, 4, 2, 6, 8, 2, 5, 4, 2, 7, 1, 3, 2, 3, 2, 2, 2, 2, 11, 1, 1, 2, 7, 6, 1, 6, 2, 1, 1, 2, 3, 4, 1, 1, 2, 1, 2, 1, 7, 6, 10, 4, 9, 1, 3, 10, 1, 11, 12, 1, 6, 4, 2, 1, 3, 2, 5, 3, 3, 6, 1, 5, 1, 4, 5, 1, 1, 2, 3, 2, 1, 1, 6, 1, 6, 3, 2, 5, 1, 11, 4, 16, 1, 3, 5, 2, 2, 3, 1, 5, 5, 2, 3, 3, 6, 6, 2, 8, 9, 10, 4, 6, 5, 2, 3, 4, 4, 5, 3, 1, 2, 2, 2, 2, 1, 7, 1, 2, 1, 2, 1, 5, 2, 6, 1, 3, 2, 6, 6, 10, 2, 9, 1, 16, 4, 2, 2, 3, 3, 4, 6, 8, 1, 1, 2, 3, 5, 2, 2, 4, 2, 23, 1, 5, 1, 1, 4, 3, 8, 10, 10, 1, 1, 2, 19, 3, 7, 1, 5, 4, 2, 1, 1, 10, 2, 9, 2, 2, 1, 4, 5, 1, 1, 4, 1, 5, 5, 3, 4, 1, 14, 3, 2, 1, 1, 1, 1, 6, 7, 8, 2, 6, 6, 2, 1, 11, 12, 1, 4, 1, 6, 4, 2, 3, 4, 3, 6, 2, 1, 18, 1, 3, 2, 2, 1, 1, 3, 4, 2, 3, 5, 20, 4, 6, 1, 8, 3, 7, 2, 1, 8, 3, 1, 4, 1, 11, 8, 6, 5, 3, 2, 1, 9, 3, 1, 11, 1, 4, 4, 1, 2, 1, 1, 5, 2, 2, 1, 3, 4, 3, 5, 6, 1, 5, 2, 1, 3, 1, 4, 1, 2, 1, 14, 2, 3, 1, 2, 2, 4, 2, 1, 3, 4, 7, 1, 13, 3, 1, 3, 9, 3, 2, 3, 4, 4, 9, 1, 4, 2, 3, 2, 4, 2, 1, 2, 1, 6, 3, 1, 4, 3, 2, 16, 1, 4, 1, 8, 4, 3, 4, 1, 1, 7, 1, 1, 1, 4, 3, 3, 2, 4, 1, 1, 2, 1, 8, 7, 3, 3, 12, 1, 1, 2, 2, 2, 1, 1, 6, 5, 2, 1, 2, 1, 1, 6, 4, 10, 1, 2, 2, 4, 5, 4, 3, 1, 17, 4, 3, 4, 3, 3, 1, 2, 1, 1, 2, 7, 2, 15, 3, 5, 6, 2, 5, 1, 2, 1, 10, 7, 10, 10, 1, 3, 3, 1, 4, 1, 3, 7, 1, 2, 9, 7, 4, 1, 3, 3, 6, 2, 4, 1, 3, 11, 5, 3, 4, 1, 4, 5, 1, 9, 2, 3, 2, 16, 3, 8, 2, 2, 2, 1, 1, 4, 3, 6, 2, 2, 3, 5, 2, 6, 1, 16, 1, 6, 6, 1, 2, 2, 2, 1, 6, 1, 3, 9, 1, 6]