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
22,900,708 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 🚀 Iminent
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 #27 = {28} random

Descriptive

Apariții
4203
Mean ± std
3.99 ± 3.4
CV (std/mean)
0.854
Min/Max gap
1 / 29
Last seen
16750 (gap actual: 4)

Percentile gap-uri

P25 / mediana / P75
1 / 3 / 5
P90 / P95
8.9 / 11
IQR
4

Streaks & Pattern

Hot streak (consecutive)
8
Cold streak (max absență)
29
Autocorrelation lag-1
-0.017
Drift (h2-h1)
0.03
Best period T
T=22 (entropy=0.001)

Overdue Status

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

Statistical Test (Chi-square)

chi²
413.98
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2942 / 1261 apariții
Mean train
3.98
MAE
2.54
Accuracy
36%
Erori per pred
[3,4,2,1,3,1,3,3,0,3,7,5,2,1,3,3,3,1,1,1,4,2,3,2,3,2,3,3,6,9,3,1,1,1,6,1,3,3,3,1,1,0,1,3,1,3,3,2,2,8,1,1,1,1,1,2,3,2,2,1,3,3,1,7,1,3,2,2,3,1,1,1,3,1,3,2,3,2,3,3,1,1,2,2,2,5,2,1,0,1,3,5,1,5,3,2,3,8,0,9,3,0,1,1,1,1,3,1,1,2,3,3,2,0,1,3,0,3,2,1,2,2,2,1,3,2,2,3,2,3,2,0,5,3,3,0,2,12,0,3,3,1,3,0,3,7,2,3,2,2,2,1,2,3,0,1,2,1,3,3,1,2,0,4,1,10,3,4,0,2,3,3,3,0,2,2,1,0,0,2,0,4,7,2,10,9,4,3,2,2,1,1,1,2,5,3,3,1,2,3,0,3,15,2,2,6,1,2,1,2,2,5,3,3,1,2,3,0,1,0,2,0,3,4,3,2,3,7,6,1,3,3,4,1,2,3,2,2,3,3,2,2,3,2,3,3,3,0,3,0,0,3,1,1,3,2,2,6,2,1,1,8,1,4,7,1,3,1,3,3,2,1,2,2,3,2,2,5,3,2,1,9,1,3,4,1,3,9,4,3,6,3,5,2,1,2,3,3,11,1,2,2,0,1,2,1,3,9,1,3,0,1,0,2,2,5,3,1,2,3,3,1,2,2,3,2,1,4,6,2,2,3,0,0,3,3,2,2,2,3,0,5,2,4,2,3,3,2,3,1,1,4,3,4,3,9,3,3,5,3,3,1,2,3,2,0,1,2,2,2,2,4,0,5,2,1,0,3,3,0,2,1,3,2,3,2,1,2,10,0,5,3,3,1,10,3,4,1,2,7,3,0,4,8,3,1,3,2,3,1,3,12,3,2,9,0,2,1,1,0,1,1,3,6,3,1,1,3,0,2,1,3,3,1,1,3,3,0,0,0,1,3,4,1,2,3,2,1,0,1,1,2,1,0,2,2,1,1,4,3,0,5,8,2,3,1,3,2,1,3,1,1,1,1,1,2,6,1,3,5,7,1,3,3,1,4,2,3,2,3,1,3,3,2,1,1,5,4,1,0,6,2,2,1,8,1,1,0,1,2,2,13,3,0,0,2,1,2,2,2,2,3,18,1,2,2,0,3,2,2,3,1,2,4,8,3,1,3,3,4,1,1,1,2,0,0,1,1,0,2,3,2,1,2,2,2,5,3,3,2,3,3,3,0,1,2,1,4,3,3,3,3,1,2,5,3,3,3,0,1,3,2,11,3,0,2,3,7,2,1,3,3,0,1,4,1,6,1,3,1,3,8,1,9,2,3,1,3,1,1,5,2,3,2,10,0,2,2,2,3,3,5,3,0,1,3,16,2,3,2,2,1,6,0,5,4,2,1,4,1,3,2,0,3,2,3,4,2,1,3,5,1,3,1,3,0,0,2,2,2,3,3,2,3,0,1,0,2,3,4,0,2,6,1,2,3,3,2,3,2,3,0,3,3,6,2,2,2,3,1,4,3,3,0,4,2,0,3,0,0,1,3,1,1,3,1,0,1,2,3,2,3,1,8,1,1,1,3,0,3,0,2,11,3,2,2,2,3,2,2,2,3,1,1,2,3,3,0,1,5,2,0,3,0,3,1,2,2,2,3,3,2,1,1,3,3,1,3,3,1,1,1,3,0,3,2,3,3,1,7,4,0,0,7,2,1,1,1,8,1,0,3,3,3,3,1,3,1,1,0,3,3,1,2,2,17,1,3,4,3,3,1,2,3,3,3,0,2,0,2,0,1,5,1,1,1,2,1,0,4,2,3,3,3,3,2,3,9,3,1,2,2,3,2,3,4,1,3,3,6,3,2,9,3,2,2,3,1,7,0,3,1,3,1,1,3,2,1,1,0,6,6,2,7,2,1,11,2,3,1,1,3,2,1,3,3,1,0,2,1,1,3,1,1,3,8,10,3,2,7,4,5,2,1,1,2,2,3,3,1,0,3,3,0,0,3,2,6,1,0,1,2,1,0,1,4,1,2,6,3,0,1,5,10,5,3,0,3,3,0,2,4,3,3,3,5,3,1,1,4,3,2,1,1,1,3,3,6,2,1,3,3,2,2,0,1,7,7,1,1,3,1,3,2,1,0,2,1,14,3,3,3,3,0,3,5,1,2,0,2,6,2,10,3,3,2,0,5,2,2,1,2,4,1,3,1,1,2,0,2,3,0,1,2,2,2,3,1,1,1,2,3,2,4,1,3,3,1,3,1,2,0,3,1,1,1,2,0,2,3,14,1,2,2,2,1,2,3,2,2,3,3,0,3,1,8,2,8,1,5,1,3,3,1,14,3,3,7,1,14,1,2,3,1,2,3,3,3,3,3,3,1,3,2,3,3,3,3,15,2,1,1,5,2,5,2,1,3,3,3,3,3,3,3,2,2,2,1,2,3,1,1,3,2,1,5,1,0,2,1,1,0,0,1,1,1,7,3,3,2,2,3,1,3,2,3,3,0,3,3,1,0,0,2,3,3,1,3,7,1,8,3,2,1,3,3,3,3,3,9,3,3,3,2,3,3,1,1,0,2,1,1,3,1,0,2,3,3,3,2,3,1,3,1,0,3,4,1,2,4,1,3,2,4,3,3,2,3,2,1,14,1,3,3,4,3,3,10,3,1,2,0,1,3,1,3,3,0,3,3,2,1,2,1,3,2,3,2,1,3,5,1,3,3,2,3,2,2,2,2,3,3,3,3,2,4,3,10,3,1,1,5,0,3,2,3,3,6,3,0,3,3,0,3,2,3,2,3,3,2,5]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.573
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.36
Total: 56.6%

🎯 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: 20 apariții Extrageri 84-167: 23 apariții Extrageri 168-251: 23 apariții Extrageri 252-335: 22 apariții Extrageri 336-418: 20 apariții Extrageri 419-502: 16 apariții Extrageri 503-586: 15 apariții Extrageri 587-670: 17 apariții Extrageri 671-753: 15 apariții Extrageri 754-837: 21 apariții Extrageri 838-921: 22 apariții Extrageri 922-1005: 24 apariții Extrageri 1006-1089: 19 apariții Extrageri 1090-1172: 20 apariții Extrageri 1173-1256: 24 apariții Extrageri 1257-1340: 23 apariții Extrageri 1341-1424: 23 apariții Extrageri 1425-1507: 20 apariții Extrageri 1508-1591: 21 apariții Extrageri 1592-1675: 22 apariții Extrageri 1676-1759: 23 apariții Extrageri 1760-1842: 17 apariții Extrageri 1843-1926: 17 apariții Extrageri 1927-2010: 17 apariții Extrageri 2011-2094: 18 apariții Extrageri 2095-2178: 21 apariții Extrageri 2179-2261: 15 apariții Extrageri 2262-2345: 19 apariții Extrageri 2346-2429: 25 apariții Extrageri 2430-2513: 22 apariții Extrageri 2514-2596: 26 apariții Extrageri 2597-2680: 17 apariții Extrageri 2681-2764: 27 apariții Extrageri 2765-2848: 18 apariții Extrageri 2849-2931: 24 apariții Extrageri 2932-3015: 17 apariții Extrageri 3016-3099: 20 apariții Extrageri 3100-3183: 20 apariții Extrageri 3184-3267: 30 apariții Extrageri 3268-3350: 24 apariții Extrageri 3351-3434: 20 apariții Extrageri 3435-3518: 22 apariții Extrageri 3519-3602: 30 apariții Extrageri 3603-3685: 30 apariții Extrageri 3686-3769: 19 apariții Extrageri 3770-3853: 25 apariții Extrageri 3854-3937: 26 apariții Extrageri 3938-4020: 20 apariții Extrageri 4021-4104: 26 apariții Extrageri 4105-4188: 14 apariții Extrageri 4189-4272: 24 apariții Extrageri 4273-4356: 22 apariții Extrageri 4357-4439: 30 apariții Extrageri 4440-4523: 22 apariții Extrageri 4524-4607: 24 apariții Extrageri 4608-4691: 23 apariții Extrageri 4692-4774: 20 apariții Extrageri 4775-4858: 20 apariții Extrageri 4859-4942: 13 apariții Extrageri 4943-5026: 20 apariții Extrageri 5027-5109: 19 apariții Extrageri 5110-5193: 21 apariții Extrageri 5194-5277: 27 apariții Extrageri 5278-5361: 28 apariții Extrageri 5362-5445: 22 apariții Extrageri 5446-5528: 23 apariții Extrageri 5529-5612: 18 apariții Extrageri 5613-5696: 22 apariții Extrageri 5697-5780: 22 apariții Extrageri 5781-5863: 21 apariții Extrageri 5864-5947: 26 apariții Extrageri 5948-6031: 20 apariții Extrageri 6032-6115: 17 apariții Extrageri 6116-6198: 13 apariții Extrageri 6199-6282: 17 apariții Extrageri 6283-6366: 27 apariții Extrageri 6367-6450: 20 apariții Extrageri 6451-6534: 20 apariții Extrageri 6535-6617: 20 apariții Extrageri 6618-6701: 22 apariții Extrageri 6702-6785: 24 apariții Extrageri 6786-6869: 17 apariții Extrageri 6870-6952: 24 apariții Extrageri 6953-7036: 15 apariții Extrageri 7037-7120: 20 apariții Extrageri 7121-7204: 17 apariții Extrageri 7205-7287: 24 apariții Extrageri 7288-7371: 23 apariții Extrageri 7372-7455: 22 apariții Extrageri 7456-7539: 20 apariții Extrageri 7540-7623: 16 apariții Extrageri 7624-7706: 19 apariții Extrageri 7707-7790: 23 apariții Extrageri 7791-7874: 26 apariții Extrageri 7875-7958: 24 apariții Extrageri 7959-8041: 14 apariții Extrageri 8042-8125: 19 apariții Extrageri 8126-8209: 15 apariții Extrageri 8210-8293: 23 apariții Extrageri 8294-8377: 21 apariții Extrageri 8378-8460: 24 apariții Extrageri 8461-8544: 22 apariții Extrageri 8545-8628: 30 apariții Extrageri 8629-8712: 23 apariții Extrageri 8713-8795: 27 apariții Extrageri 8796-8879: 22 apariții Extrageri 8880-8963: 19 apariții Extrageri 8964-9047: 22 apariții Extrageri 9048-9130: 18 apariții Extrageri 9131-9214: 25 apariții Extrageri 9215-9298: 21 apariții Extrageri 9299-9382: 23 apariții Extrageri 9383-9466: 22 apariții Extrageri 9467-9549: 20 apariții Extrageri 9550-9633: 17 apariții Extrageri 9634-9717: 17 apariții Extrageri 9718-9801: 20 apariții Extrageri 9802-9884: 17 apariții Extrageri 9885-9968: 21 apariții Extrageri 9969-10052: 19 apariții Extrageri 10053-10136: 28 apariții Extrageri 10137-10219: 16 apariții Extrageri 10220-10303: 27 apariții Extrageri 10304-10387: 21 apariții Extrageri 10388-10471: 18 apariții Extrageri 10472-10555: 19 apariții Extrageri 10556-10638: 22 apariții Extrageri 10639-10722: 23 apariții Extrageri 10723-10806: 14 apariții Extrageri 10807-10890: 22 apariții Extrageri 10891-10973: 27 apariții Extrageri 10974-11057: 21 apariții Extrageri 11058-11141: 27 apariții Extrageri 11142-11225: 20 apariții Extrageri 11226-11308: 20 apariții Extrageri 11309-11392: 21 apariții Extrageri 11393-11476: 14 apariții Extrageri 11477-11560: 19 apariții Extrageri 11561-11644: 15 apariții Extrageri 11645-11727: 21 apariții Extrageri 11728-11811: 19 apariții Extrageri 11812-11895: 23 apariții Extrageri 11896-11979: 29 apariții Extrageri 11980-12062: 17 apariții Extrageri 12063-12146: 25 apariții Extrageri 12147-12230: 20 apariții Extrageri 12231-12314: 22 apariții Extrageri 12315-12397: 19 apariții Extrageri 12398-12481: 18 apariții Extrageri 12482-12565: 20 apariții Extrageri 12566-12649: 22 apariții Extrageri 12650-12733: 21 apariții Extrageri 12734-12816: 22 apariții Extrageri 12817-12900: 20 apariții Extrageri 12901-12984: 21 apariții Extrageri 12985-13068: 24 apariții Extrageri 13069-13151: 21 apariții Extrageri 13152-13235: 21 apariții Extrageri 13236-13319: 17 apariții Extrageri 13320-13403: 16 apariții Extrageri 13404-13486: 26 apariții Extrageri 13487-13570: 21 apariții Extrageri 13571-13654: 15 apariții Extrageri 13655-13738: 17 apariții Extrageri 13739-13822: 16 apariții Extrageri 13823-13905: 23 apariții Extrageri 13906-13989: 27 apariții Extrageri 13990-14073: 21 apariții Extrageri 14074-14157: 16 apariții Extrageri 14158-14240: 18 apariții Extrageri 14241-14324: 19 apariții Extrageri 14325-14408: 26 apariții Extrageri 14409-14492: 24 apariții Extrageri 14493-14575: 20 apariții Extrageri 14576-14659: 19 apariții Extrageri 14660-14743: 30 apariții Extrageri 14744-14827: 14 apariții Extrageri 14828-14911: 25 apariții Extrageri 14912-14994: 18 apariții Extrageri 14995-15078: 22 apariții Extrageri 15079-15162: 17 apariții Extrageri 15163-15246: 21 apariții Extrageri 15247-15329: 16 apariții Extrageri 15330-15413: 20 apariții Extrageri 15414-15497: 18 apariții Extrageri 15498-15581: 21 apariții Extrageri 15582-15664: 21 apariții Extrageri 15665-15748: 19 apariții Extrageri 15749-15832: 27 apariții Extrageri 15833-15916: 19 apariții Extrageri 15917-16000: 15 apariții Extrageri 16001-16083: 20 apariții Extrageri 16084-16167: 25 apariții Extrageri 16168-16251: 21 apariții Extrageri 16252-16335: 26 apariții Extrageri 16336-16418: 24 apariții Extrageri 16419-16502: 22 apariții Extrageri 16503-16586: 24 apariții Extrageri 16587-16670: 21 apariții Extrageri 16671-16754: 20 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 4,203 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):
[2, 3, 12, 16, 18, 20, 24, 26, 27, 31, 32, 35, 37, 42, 43, 45, 49, 53, 82, 83, 86, 88, 89, 90, 92, 93, 97, 102, 108, 123, 128, 133, 134, 135, 136, 144, 146, 148, 151, 153, 156, 157, 167, 172, 173, 177, 178, 179, 182, 185, 187, 189, 196, 200, 204, 219, 222, 226, 232, 233, 240, 243, 245, 248, 249, 250, 255, 259, 270, 273, 277, 285, 289, 291, 296, 301, 306, 308, 310, 311, 314, 315, 323, 325, 326, 330, 331, 332, 349, 351, 359, 360, 361, 364, 365, 366, 374, 380, 381, 386, 387, 391, 394, 401, 412, 414, 415, 416, 434, 436, 442, 444, 447, 462, 463, 464, 465, 478, 480, 489, 492, 496, 501, 503, 504, 510, 513, 516, 525, 537, 539, 541, 542, 543, 552, 555, 570, 573, 587, 595, 599, 603, 608, 610, 613, 620, 626, 628, 633, 637, 645, 656, 667, 668, 670, 671, 672, 680, 685, 690, 696, 702, 708, 716, 725, 728, 742, 743, 744, 748, 750, 755, 762, 763, 771, 781, 784, 791, 796, 800, 802, 804, 807, 820, 821, 822, 823, 827, 832, 833, 834, 838, 842, 844, 847, 849, 852, 853, 855, 858, 860, 865, 867, 871, 876, 878, 884, 886, 887, 898, 906, 907, 916, 921, 923, 926, 927, 932, 934, 935, 939, 940, 941, 942, 944, 945, 946, 953, 967, 970, 971, 978, 981, 989, 994, 1000, 1003, 1004, 1018, 1021, 1023, 1025, 1026, 1031, 1034, 1042, 1047, 1059, 1061, 1066, 1069, 1071, 1073, 1079, 1082, 1084, 1090, 1091, 1092, 1094, 1105, 1106, 1107, 1117, 1118, 1119, 1124, 1133, 1137, 1139, 1144, 1150, 1155, 1156, 1157, 1162, 1172, 1176, 1179, 1185, 1187, 1188, 1192, 1194, 1196, 1198, 1203, 1210, 1211, 1215, 1216, 1217, 1222, 1226, 1232, 1234, 1235, 1240, 1246, 1251, 1256, 1266, 1268, 1271, 1277, 1284, 1287, 1291, 1298, 1299, 1303, 1306, 1307, 1312, 1313, 1314, 1317, 1329, 1330, 1333, 1334, 1336, 1338, 1341, 1342, 1345, 1352, 1353, 1355, 1356, 1361, 1377, 1384, 1393, 1401, 1402, 1404, 1406, 1407, 1408, 1409, 1412, 1413, 1415, 1417, 1419, 1423, 1431, 1434, 1438, 1439, 1443, 1446, 1451, 1452, 1466, 1474, 1475, 1479, 1485, 1487, 1495, 1497, 1498, 1502, 1507, 1508, 1510, 1511, 1512, 1518, 1522, 1527, 1529, 1535, 1538, 1541, 1549, 1555, 1564, 1566, 1567, 1576, 1583, 1584, 1585, 1589, 1592, 1596, 1599, 1605, 1608, 1615, 1618, 1620, 1622, 1631, 1635, 1641, 1649, 1651, 1653, 1657, 1661, 1664, 1665, 1666, 1670, 1671, 1675, 1680, 1682, 1688, 1692, 1701, 1702, 1707, 1708, 1709, 1710, 1715, 1716, 1721, 1722, 1733, 1737, 1739, 1745, 1749, 1752, 1754, 1756, 1757, 1763, 1764, 1776, 1778, 1779, 1780, 1782, 1788, 1797, 1808, 1810, 1816, 1822, 1825, 1829, 1832, 1840, 1847, 1849, 1855, 1860, 1866, 1874, 1880, 1886, 1888, 1894, 1895, 1901, 1905, 1911, 1913, 1914, 1922, 1928, 1939, 1941, 1943, 1951, 1952, 1955, 1956, 1959, 1964, 1966, 1969, 1972, 1978, 1983, 2000, 2011, 2020, 2022, 2024, 2029, 2030, 2032, 2033, 2036, 2037, 2046, 2050, 2056, 2058, 2063, 2066, 2067, 2069, 2087, 2097, 2099, 2105, 2118, 2121, 2122, 2125, 2130, 2142, 2143, 2147, 2149, 2152, 2153, 2157, 2165, 2169, 2170, 2171, 2174, 2179, 2181, 2189, 2191, 2204, 2214, 2216, 2222, 2229, 2234, 2244, 2248, 2251, 2257, 2258, 2261, 2265, 2273, 2274, 2277, 2282, 2286, 2290, 2296, 2298, 2299, 2300, 2301, 2304, 2306, 2313, 2325, 2330, 2335, 2337, 2349, 2350, 2351, 2355, 2361, 2363, 2364, 2367, 2368, 2371, 2374, 2375, 2376, 2377, 2378, 2385, 2392, 2404, 2405, 2410, 2420, 2424, 2425, 2426, 2427, 2432, 2435, 2439, 2440, 2442, 2444, 2448, 2451, 2455, 2461, 2462, 2468, 2471, 2479, 2486, 2487, 2491, 2493, 2495, 2497, 2502, 2507, 2525, 2526, 2532, 2533, 2534, 2538, 2543, 2550, 2551, 2554, 2555, 2557, 2560, 2564, 2567, 2568, 2569, 2575, 2578, 2582, 2586, 2587, 2588, 2591, 2595, 2596, 2601, 2620, 2622, 2625, 2630, 2632, 2639, 2641, 2647, 2651, 2652, 2654, 2656, 2659, 2664, 2667, 2672, 2683, 2684, 2685, 2686, 2688, 2690, 2695, 2699, 2700, 2704, 2714, 2721, 2722, 2725, 2728, 2730, 2731, 2735, 2737, 2738, 2744, 2751, 2752, 2753, 2756, 2760, 2763, 2770, 2771, 2774, 2779, 2792, 2800, 2805, 2808, 2811, 2812, 2813, 2817, 2819, 2826, 2830, 2833, 2837, 2840, 2852, 2855, 2856, 2860, 2861, 2865, 2869, 2870, 2879, 2880, 2883, 2888, 2889, 2890, 2896, 2900, 2902, 2912, 2917, 2919, 2921, 2924, 2926, 2927, 2943, 2949, 2951, 2961, 2974, 2979, 2981, 2983, 2989, 2992, 2999, 3002, 3005, 3006, 3008, 3013, 3015, 3018, 3021, 3022, 3028, 3029, 3033, 3038, 3045, 3047, 3048, 3054, 3062, 3067, 3068, 3078, 3083, 3085, 3089, 3095, 3097, 3101, 3104, 3106, 3109, 3110, 3114, 3118, 3136, 3144, 3145, 3155, 3157, 3160, 3161, 3162, 3173, 3176, 3180, 3182, 3184, 3186, 3187, 3189, 3190, 3193, 3198, 3199, 3201, 3211, 3223, 3224, 3225, 3226, 3229, 3230, 3233, 3235, 3239, 3242, 3246, 3252, 3253, 3256, 3260, 3261, 3262, 3263, 3266, 3267, 3268, 3270, 3282, 3283, 3292, 3293, 3297, 3300, 3303, 3305, 3311, 3312, 3316, 3317, 3318, 3319, 3321, 3333, 3336, 3337, 3340, 3342, 3343, 3349, 3350, 3355, 3356, 3359, 3362, 3365, 3366, 3369, 3374, 3382, 3387, 3392, 3397, 3411, 3412, 3413, 3416, 3418, 3424, 3428, 3431, 3437, 3441, 3442, 3445, 3446, 3447, 3449, 3454, 3463, 3467, 3468, 3469, 3470, 3474, 3480, 3488, 3490, 3492, 3506, 3510, 3514, 3516, 3525, 3531, 3535, 3536, 3538, 3539, 3540, 3542, 3543, 3546, 3547, 3548, 3549, 3551, 3552, 3556, 3561, 3562, 3563, 3565, 3567, 3570, 3576, 3577, 3586, 3593, 3596, 3597, 3598, 3603, 3604, 3606, 3613, 3616, 3617, 3618, 3619, 3621, 3622, 3627, 3630, 3632, 3633, 3636, 3637, 3638, 3640, 3643, 3648, 3656, 3657, 3660, 3671, 3675, 3676, 3678, 3680, 3681, 3682, 3684, 3687, 3708, 3712, 3714, 3716, 3717, 3720, 3726, 3732, 3734, 3739, 3745, 3747, 3751, 3756, 3760, 3761, 3765, 3766, 3771, 3772, 3773, 3777, 3778, 3784, 3789, 3792, 3798, 3800, 3812, 3817, 3818, 3821, 3824, 3825, 3827, 3831, 3832, 3835, 3836, 3843, 3845, 3849, 3851, 3857, 3858, 3864, 3869, 3873, 3877, 3878, 3879, 3880, 3882, 3885, 3889, 3890, 3899, 3900, 3902, 3908, 3910, 3919, 3920, 3924, 3926, 3930, 3933, 3937, 3938, 3947, 3961, 3966, 3967, 3973, 3976, 3977, 3978, 3980, 3985, 3990, 3997, 4004, 4007, 4009, 4010, 4012, 4015, 4016, 4021, 4034, 4035, 4050, 4053, 4057, 4061, 4063, 4064, 4067, 4069, 4074, 4076, 4077, 4084, 4085, 4086, 4089, 4094, 4096, 4097, 4098, 4099, 4100, 4102, 4103, 4105, 4107, 4109, 4116, 4118, 4120, 4129, 4130, 4138, 4140, 4146, 4154, 4158, 4160, 4175, 4190, 4201, 4202, 4203, 4210, 4222, 4228, 4229, 4235, 4237, 4238, 4239, 4241, 4242, 4244, 4252, 4254, 4255, 4257, 4265, 4267, 4269, 4270, 4272, 4281, 4285, 4287, 4288, 4299, 4302, 4303, 4305, 4307, 4316, 4318, 4325, 4326, 4327, 4328, 4334, 4336, 4337, 4341, 4344, 4347, 4356, 4361, 4362, 4365, 4370, 4371, 4373, 4374, 4375, 4377, 4378, 4379, 4383, 4386, 4391, 4392, 4394, 4403, 4404, 4407, 4408, 4413, 4415, 4416, 4426, 4432, 4434, 4436, 4437, 4438, 4439, 4443, 4447, 4450, 4451, 4455, 4458, 4463, 4467, 4468, 4470, 4473, 4476, 4478, 4489, 4491, 4495, 4498, 4508, 4510, 4512, 4513, 4518, 4525, 4529, 4530, 4536, 4539, 4545, 4546, 4555, 4557, 4558, 4560, 4561, 4572, 4573, 4579, 4582, 4589, 4590, 4591, 4595, 4597, 4599, 4604, 4607, 4611, 4613, 4615, 4621, 4622, 4628, 4631, 4637, 4638, 4640, 4651, 4655, 4658, 4660, 4661, 4664, 4672, 4674, 4678, 4686, 4688, 4690, 4692, 4694, 4700, 4706, 4716, 4717, 4734, 4740, 4743, 4744, 4746, 4748, 4750, 4754, 4757, 4759, 4762, 4764, 4765, 4769, 4770, 4780, 4784, 4787, 4797, 4803, 4813, 4815, 4819, 4820, 4823, 4824, 4830, 4833, 4842, 4845, 4848, 4851, 4852, 4856, 4859, 4880, 4882, 4885, 4886, 4893, 4911, 4912, 4919, 4920, 4921, 4934, 4935, 4938, 4960, 4961, 4962, 4967, 4970, 4975, 4982, 4986, 4988, 4995, 5004, 5005, 5008, 5009, 5012, 5013, 5015, 5018, 5019, 5021, 5032, 5033, 5036, 5042, 5050, 5057, 5059, 5062, 5063, 5066, 5068, 5072, 5077, 5085, 5086, 5101, 5105, 5107, 5109, 5111, 5117, 5118, 5119, 5121, 5122, 5126, 5130, 5134, 5137, 5150, 5159, 5163, 5164, 5165, 5167, 5168, 5169, 5171, 5186, 5193, 5196, 5199, 5200, 5204, 5206, 5209, 5216, 5229, 5230, 5231, 5234, 5236, 5239, 5244, 5249, 5250, 5252, 5254, 5255, 5257, 5265, 5267, 5270, 5272, 5274, 5277, 5278, 5280, 5282, 5286, 5291, 5294, 5296, 5298, 5300, 5314, 5316, 5318, 5319, 5321, 5322, 5323, 5324, 5326, 5328, 5331, 5335, 5336, 5340, 5342, 5344, 5352, 5355, 5358, 5362, 5366, 5371, 5373, 5375, 5379, 5381, 5383, 5392, 5394, 5395, 5397, 5404, 5410, 5411, 5419, 5421, 5422, 5424, 5428, 5430, 5433, 5434, 5449, 5450, 5456, 5457, 5458, 5460, 5467, 5470, 5473, 5475, 5481, 5483, 5484, 5487, 5491, 5492, 5494, 5495, 5496, 5498, 5516, 5522, 5523, 5534, 5544, 5545, 5547, 5554, 5565, 5571, 5572, 5585, 5590, 5591, 5592, 5593, 5594, 5596, 5598, 5603, 5609, 5614, 5618, 5619, 5630, 5636, 5638, 5646, 5648, 5649, 5650, 5653, 5655, 5659, 5660, 5663, 5666, 5673, 5680, 5681, 5687, 5694, 5697, 5698, 5700, 5703, 5709, 5711, 5713, 5714, 5717, 5724, 5727, 5729, 5730, 5733, 5748, 5749, 5752, 5754, 5760, 5765, 5767, 5772, 5773, 5784, 5786, 5787, 5792, 5799, 5803, 5804, 5807, 5811, 5814, 5818, 5819, 5824, 5825, 5826, 5827, 5828, 5844, 5849, 5856, 5861, 5866, 5867, 5876, 5877, 5878, 5879, 5885, 5887, 5891, 5894, 5901, 5907, 5908, 5912, 5920, 5921, 5922, 5924, 5928, 5931, 5934, 5937, 5941, 5943, 5946, 5948, 5959, 5962, 5967, 5971, 5973, 5977, 5978, 5980, 5984, 5985, 5987, 6003, 6004, 6012, 6016, 6017, 6022, 6027, 6028, 6031, 6039, 6044, 6054, 6058, 6060, 6062, 6065, 6079, 6080, 6081, 6084, 6087, 6090, 6091, 6100, 6109, 6111, 6119, 6127, 6137, 6141, 6154, 6163, 6164, 6168, 6170, 6177, 6182, 6183, 6184, 6205, 6208, 6215, 6216, 6220, 6222, 6226, 6233, 6238, 6243, 6246, 6252, 6260, 6268, 6269, 6273, 6274, 6294, 6301, 6302, 6306, 6307, 6310, 6311, 6312, 6313, 6314, 6315, 6316, 6319, 6321, 6323, 6325, 6331, 6334, 6336, 6339, 6341, 6342, 6351, 6352, 6359, 6364, 6366, 6372, 6377, 6380, 6382, 6383, 6384, 6386, 6397, 6399, 6401, 6411, 6413, 6415, 6425, 6427, 6428, 6431, 6437, 6442, 6445, 6459, 6460, 6464, 6466, 6468, 6472, 6477, 6484, 6488, 6496, 6498, 6501, 6503, 6504, 6514, 6522, 6525, 6529, 6530, 6533, 6537, 6538, 6545, 6546, 6549, 6555, 6557, 6565, 6567, 6573, 6578, 6581, 6587, 6594, 6598, 6601, 6602, 6609, 6611, 6618, 6620, 6633, 6635, 6636, 6638, 6647, 6650, 6654, 6655, 6658, 6664, 6668, 6675, 6677, 6681, 6687, 6689, 6693, 6694, 6696, 6700, 6702, 6706, 6707, 6708, 6711, 6716, 6727, 6728, 6733, 6739, 6740, 6744, 6748, 6749, 6750, 6754, 6755, 6759, 6768, 6771, 6773, 6775, 6780, 6782, 6786, 6801, 6803, 6810, 6812, 6814, 6815, 6824, 6831, 6833, 6834, 6842, 6844, 6846, 6848, 6849, 6856, 6858, 6872, 6873, 6874, 6881, 6883, 6885, 6887, 6888, 6889, 6891, 6892, 6901, 6905, 6908, 6921, 6927, 6931, 6935, 6936, 6937, 6942, 6944, 6949, 6951, 6958, 6963, 6977, 6982, 6985, 6986, 6988, 6997, 6999, 7004, 7005, 7011, 7028, 7032, 7033, 7040, 7043, 7044, 7047, 7051, 7053, 7056, 7062, 7064, 7065, 7066, 7080, 7090, 7102, 7103, 7106, 7109, 7112, 7116, 7121, 7124, 7129, 7130, 7131, 7138, 7140, 7145, 7146, 7147, 7158, 7160, 7169, 7173, 7184, 7186, 7193, 7195, 7212, 7215, 7216, 7218, 7219, 7224, 7226, 7229, 7233, 7235, 7238, 7240, 7248, 7249, 7254, 7258, 7261, 7271, 7272, 7273, 7275, 7276, 7279, 7288, 7291, 7297, 7298, 7304, 7306, 7309, 7311, 7312, 7315, 7316, 7321, 7323, 7334, 7337, 7342, 7344, 7345, 7350, 7351, 7352, 7359, 7363, 7368, 7374, 7375, 7378, 7380, 7381, 7386, 7389, 7393, 7394, 7397, 7400, 7401, 7404, 7408, 7418, 7432, 7436, 7437, 7438, 7441, 7447, 7450, 7460, 7463, 7466, 7470, 7478, 7480, 7481, 7485, 7486, 7487, 7495, 7512, 7517, 7520, 7525, 7535, 7537, 7538, 7539, 7540, 7542, 7546, 7548, 7551, 7552, 7555, 7560, 7568, 7576, 7577, 7585, 7591, 7601, 7604, 7621, 7622, 7625, 7633, 7650, 7653, 7655, 7657, 7658, 7659, 7660, 7662, 7664, 7669, 7672, 7678, 7684, 7687, 7693, 7701, 7702, 7713, 7715, 7721, 7722, 7725, 7726, 7727, 7728, 7735, 7736, 7739, 7741, 7744, 7747, 7750, 7762, 7765, 7766, 7773, 7774, 7775, 7790, 7791, 7799, 7802, 7803, 7808, 7815, 7816, 7818, 7819, 7820, 7821, 7827, 7835, 7837, 7844, 7845, 7849, 7851, 7852, 7858, 7861, 7863, 7865, 7867, 7868, 7869, 7875, 7878, 7883, 7891, 7893, 7895, 7899, 7901, 7902, 7904, 7906, 7911, 7912, 7920, 7924, 7925, 7927, 7931, 7935, 7938, 7939, 7946, 7951, 7955, 7957, 7962, 7971, 7973, 7980, 7994, 8005, 8010, 8017, 8020, 8024, 8035, 8036, 8039, 8041, 8043, 8048, 8049, 8062, 8069, 8070, 8076, 8079, 8087, 8089, 8101, 8103, 8109, 8113, 8114, 8116, 8117, 8121, 8124, 8128, 8131, 8135, 8137, 8140, 8144, 8147, 8149, 8154, 8168, 8169, 8174, 8184, 8192, 8199, 8212, 8215, 8218, 8224, 8226, 8237, 8238, 8240, 8243, 8244, 8245, 8248, 8253, 8254, 8255, 8256, 8258, 8263, 8271, 8274, 8275, 8282, 8286, 8296, 8299, 8307, 8309, 8315, 8316, 8319, 8320, 8321, 8322, 8324, 8328, 8341, 8342, 8343, 8351, 8353, 8355, 8365, 8366, 8374, 8384, 8385, 8386, 8388, 8390, 8393, 8401, 8405, 8407, 8409, 8412, 8416, 8418, 8427, 8431, 8436, 8437, 8439, 8442, 8446, 8447, 8448, 8452, 8453, 8462, 8463, 8464, 8475, 8476, 8485, 8490, 8495, 8508, 8510, 8512, 8517, 8519, 8522, 8524, 8526, 8528, 8529, 8531, 8532, 8537, 8540, 8550, 8552, 8556, 8558, 8560, 8561, 8562, 8565, 8566, 8569, 8571, 8572, 8576, 8577, 8579, 8582, 8589, 8593, 8596, 8598, 8607, 8614, 8615, 8617, 8621, 8622, 8623, 8625, 8627, 8629, 8632, 8638, 8640, 8643, 8644, 8651, 8652, 8653, 8655, 8659, 8669, 8680, 8681, 8685, 8690, 8698, 8701, 8702, 8706, 8709, 8711, 8712, 8713, 8716, 8720, 8722, 8723, 8732, 8736, 8738, 8739, 8746, 8747, 8749, 8751, 8754, 8759, 8760, 8762, 8765, 8769, 8771, 8778, 8781, 8785, 8786, 8788, 8791, 8793, 8794, 8802, 8803, 8806, 8813, 8816, 8819, 8824, 8828, 8831, 8833, 8834, 8835, 8839, 8841, 8845, 8849, 8850, 8851, 8857, 8864, 8869, 8871, 8887, 8890, 8894, 8898, 8899, 8904, 8907, 8909, 8914, 8918, 8919, 8922, 8934, 8936, 8937, 8939, 8947, 8951, 8956, 8969, 8972, 8974, 8979, 8983, 8984, 8985, 8989, 8991, 8993, 8994, 8996, 8999, 9004, 9007, 9010, 9014, 9020, 9022, 9027, 9040, 9042, 9056, 9061, 9062, 9077, 9078, 9081, 9084, 9091, 9095, 9096, 9098, 9100, 9111, 9117, 9125, 9128, 9129, 9130, 9139, 9140, 9141, 9145, 9149, 9151, 9156, 9162, 9165, 9171, 9178, 9179, 9180, 9184, 9185, 9187, 9189, 9190, 9194, 9197, 9203, 9205, 9206, 9207, 9209, 9225, 9227, 9232, 9233, 9234, 9238, 9240, 9244, 9247, 9253, 9259, 9265, 9267, 9271, 9278, 9280, 9283, 9287, 9292, 9295, 9297, 9308, 9318, 9321, 9331, 9332, 9333, 9336, 9340, 9344, 9351, 9353, 9354, 9360, 9366, 9368, 9369, 9370, 9371, 9372, 9373, 9376, 9378, 9382, 9386, 9387, 9389, 9395, 9398, 9399, 9400, 9402, 9411, 9413, 9416, 9428, 9432, 9437, 9440, 9441, 9453, 9454, 9459, 9461, 9464, 9466, 9468, 9482, 9486, 9487, 9495, 9496, 9499, 9501, 9504, 9508, 9514, 9515, 9518, 9519, 9525, 9527, 9544, 9546, 9547, 9548, 9555, 9559, 9560, 9561, 9565, 9575, 9582, 9594, 9595, 9596, 9597, 9601, 9614, 9620, 9624, 9626, 9629, 9641, 9644, 9647, 9650, 9653, 9662, 9665, 9673, 9674, 9677, 9684, 9692, 9700, 9705, 9713, 9715, 9718, 9722, 9725, 9727, 9730, 9735, 9737, 9741, 9746, 9750, 9759, 9762, 9768, 9769, 9770, 9776, 9784, 9788, 9796, 9798, 9802, 9809, 9811, 9812, 9813, 9823, 9825, 9828, 9830, 9839, 9844, 9849, 9855, 9856, 9863, 9865, 9873, 9875, 9887, 9889, 9890, 9891, 9894, 9895, 9899, 9900, 9904, 9910, 9911, 9919, 9922, 9924, 9936, 9940, 9941, 9943, 9953, 9956, 9959, 9970, 9971, 9972, 9974, 9978, 9982, 9983, 9986, 9995, 9997, 10016, 10017, 10023, 10024, 10029, 10038, 10044, 10048, 10053, 10054, 10055, 10059, 10061, 10062, 10064, 10065, 10068, 10069, 10075, 10076, 10078, 10079, 10080, 10083, 10084, 10085, 10086, 10093, 10094, 10096, 10100, 10103, 10105, 10107, 10113, 10116, 10134, 10143, 10149, 10150, 10151, 10160, 10164, 10170, 10171, 10176, 10180, 10181, 10202, 10203, 10205, 10209, 10214, 10221, 10224, 10227, 10234, 10237, 10238, 10240, 10243, 10264, 10267, 10268, 10269, 10272, 10275, 10276, 10278, 10280, 10281, 10282, 10283, 10287, 10290, 10292, 10294, 10297, 10298, 10300, 10306, 10307, 10314, 10315, 10322, 10323, 10334, 10337, 10339, 10342, 10347, 10349, 10362, 10363, 10368, 10371, 10372, 10377, 10380, 10385, 10386, 10389, 10397, 10398, 10400, 10402, 10404, 10406, 10415, 10421, 10426, 10427, 10434, 10440, 10442, 10454, 10459, 10461, 10464, 10475, 10476, 10484, 10492, 10493, 10497, 10500, 10512, 10514, 10521, 10532, 10535, 10536, 10537, 10543, 10549, 10552, 10555, 10556, 10557, 10558, 10561, 10574, 10576, 10577, 10584, 10585, 10592, 10594, 10595, 10597, 10603, 10609, 10612, 10618, 10619, 10621, 10623, 10626, 10628, 10632, 10642, 10644, 10645, 10649, 10650, 10651, 10653, 10660, 10661, 10662, 10664, 10666, 10673, 10685, 10692, 10696, 10700, 10703, 10708, 10710, 10711, 10712, 10723, 10724, 10726, 10742, 10750, 10751, 10752, 10754, 10756, 10761, 10768, 10775, 10784, 10786, 10803, 10809, 10811, 10812, 10814, 10822, 10825, 10832, 10837, 10838, 10840, 10842, 10850, 10852, 10867, 10870, 10871, 10872, 10874, 10877, 10878, 10882, 10883, 10893, 10895, 10898, 10899, 10901, 10905, 10909, 10910, 10916, 10918, 10919, 10926, 10932, 10933, 10937, 10938, 10941, 10947, 10949, 10950, 10951, 10952, 10953, 10956, 10957, 10959, 10963, 10975, 10985, 10987, 10988, 10996, 11000, 11004, 11006, 11008, 11012, 11014, 11015, 11017, 11021, 11031, 11033, 11037, 11041, 11047, 11055, 11057, 11059, 11060, 11062, 11064, 11067, 11069, 11072, 11076, 11079, 11089, 11093, 11095, 11100, 11103, 11104, 11109, 11115, 11117, 11118, 11122, 11123, 11129, 11130, 11133, 11139, 11140, 11141, 11144, 11151, 11155, 11166, 11173, 11182, 11184, 11185, 11189, 11194, 11197, 11198, 11200, 11203, 11207, 11212, 11218, 11220, 11221, 11222, 11232, 11233, 11241, 11242, 11249, 11252, 11253, 11255, 11257, 11258, 11261, 11267, 11268, 11283, 11284, 11285, 11289, 11299, 11300, 11307, 11312, 11315, 11318, 11323, 11326, 11343, 11347, 11349, 11350, 11354, 11356, 11357, 11358, 11363, 11364, 11368, 11375, 11376, 11379, 11383, 11390, 11394, 11397, 11400, 11403, 11414, 11418, 11423, 11425, 11427, 11444, 11446, 11453, 11466, 11472, 11482, 11485, 11486, 11492, 11508, 11510, 11514, 11518, 11520, 11521, 11525, 11532, 11533, 11536, 11540, 11546, 11548, 11556, 11557, 11571, 11573, 11579, 11580, 11581, 11584, 11585, 11598, 11611, 11612, 11617, 11620, 11623, 11636, 11641, 11653, 11654, 11656, 11658, 11664, 11675, 11679, 11683, 11689, 11694, 11697, 11698, 11706, 11708, 11713, 11714, 11719, 11720, 11721, 11725, 11726, 11737, 11746, 11748, 11753, 11754, 11755, 11756, 11761, 11764, 11767, 11775, 11777, 11784, 11786, 11787, 11789, 11790, 11791, 11801, 11814, 11815, 11818, 11821, 11824, 11834, 11837, 11838, 11839, 11846, 11849, 11852, 11856, 11861, 11862, 11867, 11868, 11869, 11871, 11873, 11885, 11890, 11895, 11900, 11903, 11906, 11908, 11909, 11915, 11917, 11922, 11923, 11924, 11927, 11938, 11943, 11944, 11946, 11948, 11949, 11952, 11955, 11958, 11959, 11962, 11963, 11965, 11972, 11974, 11975, 11976, 11979, 11984, 11986, 11992, 11998, 12007, 12009, 12012, 12016, 12019, 12020, 12029, 12034, 12043, 12044, 12050, 12051, 12063, 12067, 12080, 12081, 12085, 12088, 12091, 12096, 12099, 12100, 12103, 12106, 12108, 12115, 12116, 12118, 12122, 12125, 12126, 12130, 12131, 12133, 12136, 12138, 12140, 12146, 12151, 12152, 12154, 12156, 12157, 12163, 12164, 12170, 12174, 12183, 12184, 12191, 12195, 12197, 12213, 12217, 12218, 12225, 12230, 12231, 12235, 12236, 12247, 12249, 12250, 12252, 12258, 12260, 12263, 12265, 12266, 12270, 12275, 12281, 12284, 12285, 12286, 12291, 12293, 12297, 12305, 12308, 12322, 12323, 12331, 12335, 12337, 12344, 12345, 12346, 12350, 12352, 12354, 12357, 12361, 12365, 12367, 12371, 12379, 12390, 12392, 12406, 12419, 12427, 12428, 12430, 12432, 12437, 12442, 12445, 12447, 12456, 12457, 12458, 12461, 12463, 12464, 12468, 12469, 12488, 12494, 12500, 12510, 12513, 12515, 12518, 12520, 12522, 12531, 12532, 12533, 12538, 12540, 12547, 12551, 12556, 12560, 12562, 12566, 12567, 12575, 12576, 12578, 12579, 12590, 12600, 12605, 12606, 12607, 12615, 12620, 12622, 12623, 12629, 12631, 12632, 12633, 12635, 12641, 12642, 12644, 12651, 12652, 12653, 12657, 12658, 12662, 12666, 12667, 12670, 12675, 12676, 12678, 12680, 12690, 12692, 12695, 12698, 12710, 12713, 12721, 12732, 12735, 12736, 12739, 12740, 12741, 12743, 12746, 12752, 12754, 12755, 12757, 12759, 12768, 12769, 12775, 12780, 12793, 12796, 12797, 12805, 12808, 12809, 12822, 12830, 12831, 12841, 12842, 12851, 12853, 12858, 12860, 12861, 12862, 12877, 12880, 12882, 12884, 12888, 12891, 12893, 12898, 12899, 12912, 12915, 12916, 12920, 12925, 12929, 12931, 12933, 12942, 12943, 12946, 12948, 12949, 12950, 12955, 12961, 12963, 12964, 12966, 12969, 12977, 12987, 12989, 12991, 12992, 12996, 13000, 13001, 13008, 13010, 13012, 13014, 13021, 13025, 13034, 13036, 13044, 13046, 13047, 13048, 13054, 13055, 13058, 13061, 13069, 13070, 13078, 13079, 13092, 13093, 13094, 13103, 13104, 13105, 13108, 13110, 13117, 13119, 13123, 13126, 13128, 13134, 13136, 13138, 13146, 13150, 13159, 13161, 13164, 13168, 13169, 13170, 13174, 13180, 13183, 13184, 13190, 13191, 13193, 13196, 13198, 13212, 13216, 13225, 13226, 13227, 13230, 13244, 13251, 13259, 13264, 13270, 13281, 13282, 13286, 13294, 13306, 13307, 13310, 13311, 13313, 13314, 13319, 13320, 13336, 13343, 13345, 13358, 13362, 13364, 13367, 13370, 13374, 13379, 13382, 13383, 13393, 13394, 13399, 13404, 13405, 13409, 13411, 13414, 13415, 13416, 13419, 13424, 13425, 13426, 13430, 13434, 13438, 13441, 13442, 13450, 13453, 13455, 13456, 13462, 13467, 13471, 13474, 13477, 13479, 13484, 13488, 13490, 13492, 13497, 13500, 13508, 13509, 13513, 13522, 13534, 13536, 13543, 13548, 13549, 13551, 13554, 13555, 13560, 13563, 13566, 13569, 13572, 13578, 13588, 13593, 13600, 13609, 13620, 13623, 13624, 13625, 13628, 13636, 13642, 13649, 13651, 13658, 13663, 13664, 13671, 13673, 13676, 13681, 13690, 13698, 13703, 13707, 13717, 13719, 13721, 13724, 13736, 13739, 13742, 13746, 13751, 13753, 13755, 13772, 13773, 13777, 13781, 13783, 13786, 13788, 13790, 13796, 13802, 13803, 13825, 13828, 13830, 13832, 13836, 13837, 13839, 13841, 13842, 13847, 13849, 13857, 13869, 13870, 13875, 13876, 13877, 13885, 13888, 13893, 13898, 13900, 13904, 13908, 13911, 13914, 13918, 13920, 13921, 13923, 13926, 13928, 13930, 13932, 13941, 13942, 13949, 13951, 13952, 13959, 13966, 13970, 13973, 13975, 13978, 13986, 13987, 13988, 13989, 13990, 13993, 13995, 14004, 14005, 14006, 14007, 14011, 14014, 14015, 14021, 14036, 14043, 14047, 14049, 14050, 14061, 14063, 14066, 14067, 14068, 14072, 14075, 14083, 14086, 14096, 14099, 14100, 14103, 14110, 14122, 14125, 14138, 14140, 14141, 14146, 14153, 14156, 14159, 14168, 14174, 14175, 14177, 14191, 14195, 14197, 14199, 14201, 14202, 14203, 14212, 14213, 14217, 14220, 14221, 14241, 14247, 14254, 14256, 14258, 14263, 14273, 14277, 14286, 14294, 14296, 14301, 14309, 14312, 14313, 14315, 14319, 14320, 14322, 14323, 14331, 14333, 14336, 14343, 14352, 14355, 14356, 14361, 14362, 14366, 14370, 14372, 14374, 14376, 14377, 14378, 14380, 14381, 14385, 14388, 14392, 14394, 14395, 14403, 14407, 14409, 14419, 14422, 14424, 14425, 14426, 14428, 14429, 14431, 14432, 14436, 14437, 14438, 14448, 14450, 14456, 14462, 14463, 14466, 14474, 14475, 14476, 14480, 14488, 14490, 14494, 14501, 14505, 14509, 14512, 14519, 14522, 14527, 14528, 14531, 14535, 14538, 14540, 14541, 14543, 14550, 14555, 14567, 14572, 14575, 14578, 14585, 14589, 14590, 14594, 14600, 14615, 14622, 14628, 14630, 14636, 14643, 14645, 14647, 14649, 14650, 14653, 14658, 14660, 14667, 14668, 14672, 14677, 14686, 14688, 14692, 14693, 14697, 14698, 14701, 14703, 14709, 14711, 14712, 14713, 14715, 14718, 14721, 14722, 14723, 14726, 14727, 14728, 14731, 14734, 14737, 14738, 14742, 14743, 14745, 14752, 14759, 14762, 14773, 14781, 14785, 14789, 14800, 14802, 14807, 14810, 14813, 14825, 14830, 14834, 14841, 14842, 14843, 14844, 14849, 14850, 14853, 14856, 14860, 14861, 14862, 14865, 14867, 14869, 14890, 14893, 14894, 14902, 14903, 14904, 14909, 14911, 14912, 14919, 14920, 14924, 14926, 14930, 14936, 14940, 14943, 14952, 14957, 14960, 14965, 14971, 14974, 14978, 14986, 14988, 14989, 14996, 14997, 14998, 15004, 15005, 15018, 15025, 15028, 15030, 15032, 15033, 15035, 15036, 15044, 15049, 15050, 15051, 15061, 15062, 15064, 15077, 15078, 15084, 15090, 15097, 15102, 15113, 15117, 15118, 15121, 15122, 15127, 15132, 15139, 15141, 15144, 15147, 15151, 15161, 15171, 15173, 15184, 15186, 15189, 15204, 15206, 15207, 15210, 15215, 15216, 15218, 15223, 15224, 15225, 15228, 15232, 15234, 15237, 15242, 15243, 15248, 15253, 15254, 15266, 15280, 15281, 15287, 15298, 15306, 15315, 15317, 15320, 15325, 15327, 15329, 15330, 15331, 15334, 15338, 15345, 15346, 15350, 15354, 15355, 15357, 15367, 15370, 15374, 15379, 15385, 15388, 15392, 15395, 15403, 15406, 15408, 15418, 15419, 15423, 15426, 15435, 15449, 15458, 15465, 15469, 15470, 15471, 15475, 15477, 15485, 15486, 15487, 15488, 15497, 15504, 15507, 15512, 15520, 15521, 15523, 15528, 15531, 15534, 15535, 15536, 15546, 15548, 15551, 15552, 15553, 15555, 15557, 15561, 15564, 15575, 15586, 15589, 15592, 15599, 15604, 15605, 15607, 15610, 15614, 15616, 15619, 15637, 15638, 15639, 15640, 15641, 15645, 15646, 15655, 15660, 15662, 15666, 15672, 15682, 15688, 15702, 15703, 15704, 15706, 15710, 15719, 15721, 15723, 15726, 15728, 15736, 15741, 15742, 15745, 15748, 15750, 15754, 15760, 15761, 15765, 15768, 15774, 15780, 15782, 15783, 15786, 15789, 15794, 15796, 15797, 15799, 15807, 15810, 15811, 15812, 15815, 15816, 15821, 15823, 15827, 15828, 15831, 15834, 15839, 15841, 15845, 15851, 15858, 15876, 15881, 15883, 15889, 15891, 15894, 15896, 15897, 15899, 15905, 15912, 15913, 15917, 15918, 15921, 15933, 15935, 15947, 15950, 15959, 15962, 15963, 15964, 15969, 15987, 15988, 15989, 16000, 16003, 16021, 16024, 16026, 16027, 16032, 16038, 16039, 16040, 16047, 16048, 16049, 16050, 16055, 16056, 16058, 16059, 16066, 16073, 16074, 16093, 16095, 16100, 16105, 16114, 16116, 16125, 16131, 16134, 16135, 16136, 16137, 16138, 16139, 16140, 16141, 16143, 16145, 16147, 16150, 16152, 16159, 16164, 16167, 16168, 16170, 16175, 16184, 16189, 16193, 16195, 16198, 16203, 16207, 16211, 16216, 16221, 16224, 16235, 16236, 16243, 16245, 16247, 16248, 16251, 16252, 16254, 16255, 16256, 16260, 16261, 16262, 16265, 16269, 16273, 16275, 16276, 16277, 16280, 16281, 16292, 16297, 16309, 16310, 16312, 16317, 16318, 16319, 16320, 16321, 16322, 16335, 16342, 16343, 16350, 16352, 16359, 16360, 16365, 16370, 16374, 16376, 16379, 16384, 16385, 16388, 16392, 16398, 16399, 16400, 16401, 16403, 16404, 16409, 16416, 16419, 16423, 16424, 16432, 16435, 16437, 16445, 16448, 16449, 16451, 16459, 16460, 16461, 16463, 16464, 16466, 16471, 16489, 16492, 16493, 16494, 16502, 16503, 16504, 16518, 16519, 16522, 16524, 16528, 16531, 16532, 16537, 16538, 16539, 16543, 16550, 16551, 16553, 16556, 16562, 16565, 16566, 16568, 16575, 16577, 16582, 16583, 16592, 16595, 16596, 16597, 16599, 16606, 16608, 16614, 16616, 16622, 16623, 16624, 16625, 16632, 16634, 16642, 16643, 16657, 16664, 16667, 16670, 16679, 16683, 16690, 16692, 16693, 16694, 16704, 16711, 16715, 16716, 16717, 16721, 16728, 16730, 16731, 16733, 16734, 16735, 16741, 16750]
Gap-uri:
[1, 9, 4, 2, 2, 4, 2, 1, 4, 1, 3, 2, 5, 1, 2, 4, 4, 29, 1, 3, 2, 1, 1, 2, 1, 4, 5, 6, 15, 5, 5, 1, 1, 1, 8, 2, 2, 3, 2, 3, 1, 10, 5, 1, 4, 1, 1, 3, 3, 2, 2, 7, 4, 4, 15, 3, 4, 6, 1, 7, 3, 2, 3, 1, 1, 5, 4, 11, 3, 4, 8, 4, 2, 5, 5, 5, 2, 2, 1, 3, 1, 8, 2, 1, 4, 1, 1, 17, 2, 8, 1, 1, 3, 1, 1, 8, 6, 1, 5, 1, 4, 3, 7, 11, 2, 1, 1, 18, 2, 6, 2, 3, 15, 1, 1, 1, 13, 2, 9, 3, 4, 5, 2, 1, 6, 3, 3, 9, 12, 2, 2, 1, 1, 9, 3, 15, 3, 14, 8, 4, 4, 5, 2, 3, 7, 6, 2, 5, 4, 8, 11, 11, 1, 2, 1, 1, 8, 5, 5, 6, 6, 6, 8, 9, 3, 14, 1, 1, 4, 2, 5, 7, 1, 8, 10, 3, 7, 5, 4, 2, 2, 3, 13, 1, 1, 1, 4, 5, 1, 1, 4, 4, 2, 3, 2, 3, 1, 2, 3, 2, 5, 2, 4, 5, 2, 6, 2, 1, 11, 8, 1, 9, 5, 2, 3, 1, 5, 2, 1, 4, 1, 1, 1, 2, 1, 1, 7, 14, 3, 1, 7, 3, 8, 5, 6, 3, 1, 14, 3, 2, 2, 1, 5, 3, 8, 5, 12, 2, 5, 3, 2, 2, 6, 3, 2, 6, 1, 1, 2, 11, 1, 1, 10, 1, 1, 5, 9, 4, 2, 5, 6, 5, 1, 1, 5, 10, 4, 3, 6, 2, 1, 4, 2, 2, 2, 5, 7, 1, 4, 1, 1, 5, 4, 6, 2, 1, 5, 6, 5, 5, 10, 2, 3, 6, 7, 3, 4, 7, 1, 4, 3, 1, 5, 1, 1, 3, 12, 1, 3, 1, 2, 2, 3, 1, 3, 7, 1, 2, 1, 5, 16, 7, 9, 8, 1, 2, 2, 1, 1, 1, 3, 1, 2, 2, 2, 4, 8, 3, 4, 1, 4, 3, 5, 1, 14, 8, 1, 4, 6, 2, 8, 2, 1, 4, 5, 1, 2, 1, 1, 6, 4, 5, 2, 6, 3, 3, 8, 6, 9, 2, 1, 9, 7, 1, 1, 4, 3, 4, 3, 6, 3, 7, 3, 2, 2, 9, 4, 6, 8, 2, 2, 4, 4, 3, 1, 1, 4, 1, 4, 5, 2, 6, 4, 9, 1, 5, 1, 1, 1, 5, 1, 5, 1, 11, 4, 2, 6, 4, 3, 2, 2, 1, 6, 1, 12, 2, 1, 1, 2, 6, 9, 11, 2, 6, 6, 3, 4, 3, 8, 7, 2, 6, 5, 6, 8, 6, 6, 2, 6, 1, 6, 4, 6, 2, 1, 8, 6, 11, 2, 2, 8, 1, 3, 1, 3, 5, 2, 3, 3, 6, 5, 17, 11, 9, 2, 2, 5, 1, 2, 1, 3, 1, 9, 4, 6, 2, 5, 3, 1, 2, 18, 10, 2, 6, 13, 3, 1, 3, 5, 12, 1, 4, 2, 3, 1, 4, 8, 4, 1, 1, 3, 5, 2, 8, 2, 13, 10, 2, 6, 7, 5, 10, 4, 3, 6, 1, 3, 4, 8, 1, 3, 5, 4, 4, 6, 2, 1, 1, 1, 3, 2, 7, 12, 5, 5, 2, 12, 1, 1, 4, 6, 2, 1, 3, 1, 3, 3, 1, 1, 1, 1, 7, 7, 12, 1, 5, 10, 4, 1, 1, 1, 5, 3, 4, 1, 2, 2, 4, 3, 4, 6, 1, 6, 3, 8, 7, 1, 4, 2, 2, 2, 5, 5, 18, 1, 6, 1, 1, 4, 5, 7, 1, 3, 1, 2, 3, 4, 3, 1, 1, 6, 3, 4, 4, 1, 1, 3, 4, 1, 5, 19, 2, 3, 5, 2, 7, 2, 6, 4, 1, 2, 2, 3, 5, 3, 5, 11, 1, 1, 1, 2, 2, 5, 4, 1, 4, 10, 7, 1, 3, 3, 2, 1, 4, 2, 1, 6, 7, 1, 1, 3, 4, 3, 7, 1, 3, 5, 13, 8, 5, 3, 3, 1, 1, 4, 2, 7, 4, 3, 4, 3, 12, 3, 1, 4, 1, 4, 4, 1, 9, 1, 3, 5, 1, 1, 6, 4, 2, 10, 5, 2, 2, 3, 2, 1, 16, 6, 2, 10, 13, 5, 2, 2, 6, 3, 7, 3, 3, 1, 2, 5, 2, 3, 3, 1, 6, 1, 4, 5, 7, 2, 1, 6, 8, 5, 1, 10, 5, 2, 4, 6, 2, 4, 3, 2, 3, 1, 4, 4, 18, 8, 1, 10, 2, 3, 1, 1, 11, 3, 4, 2, 2, 2, 1, 2, 1, 3, 5, 1, 2, 10, 12, 1, 1, 1, 3, 1, 3, 2, 4, 3, 4, 6, 1, 3, 4, 1, 1, 1, 3, 1, 1, 2, 12, 1, 9, 1, 4, 3, 3, 2, 6, 1, 4, 1, 1, 1, 2, 12, 3, 1, 3, 2, 1, 6, 1, 5, 1, 3, 3, 3, 1, 3, 5, 8, 5, 5, 5, 14, 1, 1, 3, 2, 6, 4, 3, 6, 4, 1, 3, 1, 1, 2, 5, 9, 4, 1, 1, 1, 4, 6, 8, 2, 2, 14, 4, 4, 2, 9, 6, 4, 1, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 4, 5, 1, 1, 2, 2, 3, 6, 1, 9, 7, 3, 1, 1, 5, 1, 2, 7, 3, 1, 1, 1, 2, 1, 5, 3, 2, 1, 3, 1, 1, 2, 3, 5, 8, 1, 3, 11, 4, 1, 2, 2, 1, 1, 2, 3, 21, 4, 2, 2, 1, 3, 6, 6, 2, 5, 6, 2, 4, 5, 4, 1, 4, 1, 5, 1, 1, 4, 1, 6, 5, 3, 6, 2, 12, 5, 1, 3, 3, 1, 2, 4, 1, 3, 1, 7, 2, 4, 2, 6, 1, 6, 5, 4, 4, 1, 1, 1, 2, 3, 4, 1, 9, 1, 2, 6, 2, 9, 1, 4, 2, 4, 3, 4, 1, 9, 14, 5, 1, 6, 3, 1, 1, 2, 5, 5, 7, 7, 3, 2, 1, 2, 3, 1, 5, 13, 1, 15, 3, 4, 4, 2, 1, 3, 2, 5, 2, 1, 7, 1, 1, 3, 5, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 7, 2, 2, 9, 1, 8, 2, 6, 8, 4, 2, 15, 15, 11, 1, 1, 7, 12, 6, 1, 6, 2, 1, 1, 2, 1, 2, 8, 2, 1, 2, 8, 2, 2, 1, 2, 9, 4, 2, 1, 11, 3, 1, 2, 2, 9, 2, 7, 1, 1, 1, 6, 2, 1, 4, 3, 3, 9, 5, 1, 3, 5, 1, 2, 1, 1, 2, 1, 1, 4, 3, 5, 1, 2, 9, 1, 3, 1, 5, 2, 1, 10, 6, 2, 2, 1, 1, 1, 4, 4, 3, 1, 4, 3, 5, 4, 1, 2, 3, 3, 2, 11, 2, 4, 3, 10, 2, 2, 1, 5, 7, 4, 1, 6, 3, 6, 1, 9, 2, 1, 2, 1, 11, 1, 6, 3, 7, 1, 1, 4, 2, 2, 5, 3, 4, 2, 2, 6, 1, 6, 3, 6, 1, 2, 11, 4, 3, 2, 1, 3, 8, 2, 4, 8, 2, 2, 2, 2, 6, 6, 10, 1, 17, 6, 3, 1, 2, 2, 2, 4, 3, 2, 3, 2, 1, 4, 1, 10, 4, 3, 10, 6, 10, 2, 4, 1, 3, 1, 6, 3, 9, 3, 3, 3, 1, 4, 3, 21, 2, 3, 1, 7, 18, 1, 7, 1, 1, 13, 1, 3, 22, 1, 1, 5, 3, 5, 7, 4, 2, 7, 9, 1, 3, 1, 3, 1, 2, 3, 1, 2, 11, 1, 3, 6, 8, 7, 2, 3, 1, 3, 2, 4, 5, 8, 1, 15, 4, 2, 2, 2, 6, 1, 1, 2, 1, 4, 4, 4, 3, 13, 9, 4, 1, 1, 2, 1, 1, 2, 15, 7, 3, 3, 1, 4, 2, 3, 7, 13, 1, 1, 3, 2, 3, 5, 5, 1, 2, 2, 1, 2, 8, 2, 3, 2, 2, 3, 1, 2, 2, 4, 5, 3, 2, 2, 2, 14, 2, 2, 1, 2, 1, 1, 1, 2, 2, 3, 4, 1, 4, 2, 2, 8, 3, 3, 4, 4, 5, 2, 2, 4, 2, 2, 9, 2, 1, 2, 7, 6, 1, 8, 2, 1, 2, 4, 2, 3, 1, 15, 1, 6, 1, 1, 2, 7, 3, 3, 2, 6, 2, 1, 3, 4, 1, 2, 1, 1, 2, 18, 6, 1, 11, 10, 1, 2, 7, 11, 6, 1, 13, 5, 1, 1, 1, 1, 2, 2, 5, 6, 5, 4, 1, 11, 6, 2, 8, 2, 1, 1, 3, 2, 4, 1, 3, 3, 7, 7, 1, 6, 7, 3, 1, 2, 3, 6, 2, 2, 1, 3, 7, 3, 2, 1, 3, 15, 1, 3, 2, 6, 5, 2, 5, 1, 11, 2, 1, 5, 7, 4, 1, 3, 4, 3, 4, 1, 5, 1, 1, 1, 1, 16, 5, 7, 5, 5, 1, 9, 1, 1, 1, 6, 2, 4, 3, 7, 6, 1, 4, 8, 1, 1, 2, 4, 3, 3, 3, 4, 2, 3, 2, 11, 3, 5, 4, 2, 4, 1, 2, 4, 1, 2, 16, 1, 8, 4, 1, 5, 5, 1, 3, 8, 5, 10, 4, 2, 2, 3, 14, 1, 1, 3, 3, 3, 1, 9, 9, 2, 8, 8, 10, 4, 13, 9, 1, 4, 2, 7, 5, 1, 1, 21, 3, 7, 1, 4, 2, 4, 7, 5, 5, 3, 6, 8, 8, 1, 4, 1, 20, 7, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 3, 2, 2, 2, 6, 3, 2, 3, 2, 1, 9, 1, 7, 5, 2, 6, 5, 3, 2, 1, 1, 2, 11, 2, 2, 10, 2, 2, 10, 2, 1, 3, 6, 5, 3, 14, 1, 4, 2, 2, 4, 5, 7, 4, 8, 2, 3, 2, 1, 10, 8, 3, 4, 1, 3, 4, 1, 7, 1, 3, 6, 2, 8, 2, 6, 5, 3, 6, 7, 4, 3, 1, 7, 2, 7, 2, 13, 2, 1, 2, 9, 3, 4, 1, 3, 6, 4, 7, 2, 4, 6, 2, 4, 1, 2, 4, 2, 4, 1, 1, 3, 5, 11, 1, 5, 6, 1, 4, 4, 1, 1, 4, 1, 4, 9, 3, 2, 2, 5, 2, 4, 15, 2, 7, 2, 2, 1, 9, 7, 2, 1, 8, 2, 2, 2, 1, 7, 2, 14, 1, 1, 7, 2, 2, 2, 1, 1, 2, 1, 9, 4, 3, 13, 6, 4, 4, 1, 1, 5, 2, 5, 2, 7, 5, 14, 5, 3, 1, 2, 9, 2, 5, 1, 6, 17, 4, 1, 7, 3, 1, 3, 4, 2, 3, 6, 2, 1, 1, 14, 10, 12, 1, 3, 3, 3, 4, 5, 3, 5, 1, 1, 7, 2, 5, 1, 1, 11, 2, 9, 4, 11, 2, 7, 2, 17, 3, 1, 2, 1, 5, 2, 3, 4, 2, 3, 2, 8, 1, 5, 4, 3, 10, 1, 1, 2, 1, 3, 9, 3, 6, 1, 6, 2, 3, 2, 1, 3, 1, 5, 2, 11, 3, 5, 2, 1, 5, 1, 1, 7, 4, 5, 6, 1, 3, 2, 1, 5, 3, 4, 1, 3, 3, 1, 3, 4, 10, 14, 4, 1, 1, 3, 6, 3, 10, 3, 3, 4, 8, 2, 1, 4, 1, 1, 8, 17, 5, 3, 5, 10, 2, 1, 1, 1, 2, 4, 2, 3, 1, 3, 5, 8, 8, 1, 8, 6, 10, 3, 17, 1, 3, 8, 17, 3, 2, 2, 1, 1, 1, 2, 2, 5, 3, 6, 6, 3, 6, 8, 1, 11, 2, 6, 1, 3, 1, 1, 1, 7, 1, 3, 2, 3, 3, 3, 12, 3, 1, 7, 1, 1, 15, 1, 8, 3, 1, 5, 7, 1, 2, 1, 1, 1, 6, 8, 2, 7, 1, 4, 2, 1, 6, 3, 2, 2, 2, 1, 1, 6, 3, 5, 8, 2, 2, 4, 2, 1, 2, 2, 5, 1, 8, 4, 1, 2, 4, 4, 3, 1, 7, 5, 4, 2, 5, 9, 2, 7, 14, 11, 5, 7, 3, 4, 11, 1, 3, 2, 2, 5, 1, 13, 7, 1, 6, 3, 8, 2, 12, 2, 6, 4, 1, 2, 1, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 5, 14, 1, 5, 10, 8, 7, 13, 3, 3, 6, 2, 11, 1, 2, 3, 1, 1, 3, 5, 1, 1, 1, 2, 5, 8, 3, 1, 7, 4, 10, 3, 8, 2, 6, 1, 3, 1, 1, 1, 2, 4, 13, 1, 1, 8, 2, 2, 10, 1, 8, 10, 1, 1, 2, 2, 3, 8, 4, 2, 2, 3, 4, 2, 9, 4, 5, 1, 2, 3, 4, 1, 1, 4, 1, 9, 1, 1, 11, 1, 9, 5, 5, 13, 2, 2, 5, 2, 3, 2, 2, 2, 1, 2, 1, 5, 3, 10, 2, 4, 2, 2, 1, 1, 3, 1, 3, 2, 1, 4, 1, 2, 3, 7, 4, 3, 2, 9, 7, 1, 2, 4, 1, 1, 2, 2, 2, 3, 6, 2, 3, 1, 7, 1, 1, 2, 4, 10, 11, 1, 4, 5, 8, 3, 1, 4, 3, 2, 1, 1, 3, 4, 2, 1, 9, 4, 2, 1, 7, 1, 2, 2, 3, 5, 1, 2, 3, 4, 2, 7, 3, 4, 1, 2, 3, 2, 1, 8, 1, 3, 7, 3, 3, 5, 4, 3, 2, 1, 1, 4, 2, 4, 4, 1, 1, 6, 7, 5, 2, 16, 3, 4, 4, 1, 5, 3, 2, 5, 4, 1, 3, 12, 2, 1, 2, 8, 4, 5, 13, 3, 2, 5, 4, 1, 1, 4, 2, 2, 1, 2, 3, 5, 3, 3, 4, 6, 2, 5, 13, 2, 14, 5, 1, 15, 1, 3, 3, 7, 4, 1, 2, 2, 11, 6, 8, 3, 1, 1, 9, 1, 1, 4, 4, 2, 5, 6, 3, 6, 7, 1, 1, 4, 1, 2, 2, 1, 4, 3, 6, 2, 1, 1, 2, 16, 2, 5, 1, 1, 4, 2, 4, 3, 6, 6, 6, 2, 4, 7, 2, 3, 4, 5, 3, 2, 11, 10, 3, 10, 1, 1, 3, 4, 4, 7, 2, 1, 6, 6, 2, 1, 1, 1, 1, 1, 3, 2, 4, 4, 1, 2, 6, 3, 1, 1, 2, 9, 2, 3, 12, 4, 5, 3, 1, 12, 1, 5, 2, 3, 2, 2, 14, 4, 1, 8, 1, 3, 2, 3, 4, 6, 1, 3, 1, 6, 2, 17, 2, 1, 1, 7, 4, 1, 1, 4, 10, 7, 12, 1, 1, 1, 4, 13, 6, 4, 2, 3, 12, 3, 3, 3, 3, 9, 3, 8, 1, 3, 7, 8, 8, 5, 8, 2, 3, 4, 3, 2, 3, 5, 2, 4, 5, 4, 9, 3, 6, 1, 1, 6, 8, 4, 8, 2, 4, 7, 2, 1, 1, 10, 2, 3, 2, 9, 5, 5, 6, 1, 7, 2, 8, 2, 12, 2, 1, 1, 3, 1, 4, 1, 4, 6, 1, 8, 3, 2, 12, 4, 1, 2, 10, 3, 3, 11, 1, 1, 2, 4, 4, 1, 3, 9, 2, 19, 1, 6, 1, 5, 9, 6, 4, 5, 1, 1, 4, 2, 1, 2, 1, 3, 1, 6, 1, 2, 1, 1, 3, 1, 1, 1, 7, 1, 2, 4, 3, 2, 2, 6, 3, 18, 9, 6, 1, 1, 9, 4, 6, 1, 5, 4, 1, 21, 1, 2, 4, 5, 7, 3, 3, 7, 3, 1, 2, 3, 21, 3, 1, 1, 3, 3, 1, 2, 2, 1, 1, 1, 4, 3, 2, 2, 3, 1, 2, 6, 1, 7, 1, 7, 1, 11, 3, 2, 3, 5, 2, 13, 1, 5, 3, 1, 5, 3, 5, 1, 3, 8, 1, 2, 2, 2, 2, 9, 6, 5, 1, 7, 6, 2, 12, 5, 2, 3, 11, 1, 8, 8, 1, 4, 3, 12, 2, 7, 11, 3, 1, 1, 6, 6, 3, 3, 1, 1, 1, 3, 13, 2, 1, 7, 1, 7, 2, 1, 2, 6, 6, 3, 6, 1, 2, 2, 3, 2, 4, 10, 2, 1, 4, 1, 1, 2, 7, 1, 1, 2, 2, 7, 12, 7, 4, 4, 3, 5, 2, 1, 1, 11, 1, 2, 16, 8, 1, 1, 2, 2, 5, 7, 7, 9, 2, 17, 6, 2, 1, 2, 8, 3, 7, 5, 1, 2, 2, 8, 2, 15, 3, 1, 1, 2, 3, 1, 4, 1, 10, 2, 3, 1, 2, 4, 4, 1, 6, 2, 1, 7, 6, 1, 4, 1, 3, 6, 2, 1, 1, 1, 1, 3, 1, 2, 4, 12, 10, 2, 1, 8, 4, 4, 2, 2, 4, 2, 1, 2, 4, 10, 2, 4, 4, 6, 8, 2, 2, 1, 2, 2, 3, 2, 3, 4, 3, 10, 4, 2, 5, 3, 1, 5, 6, 2, 1, 4, 1, 6, 1, 3, 6, 1, 1, 3, 7, 4, 11, 7, 9, 2, 1, 4, 5, 3, 1, 2, 3, 4, 5, 6, 2, 1, 1, 10, 1, 8, 1, 7, 3, 1, 2, 2, 1, 3, 6, 1, 15, 1, 1, 4, 10, 1, 7, 5, 3, 3, 5, 3, 17, 4, 2, 1, 4, 2, 1, 1, 5, 1, 4, 7, 1, 3, 4, 7, 4, 3, 3, 3, 11, 4, 5, 2, 2, 17, 2, 7, 13, 6, 10, 3, 1, 6, 16, 2, 4, 4, 2, 1, 4, 7, 1, 3, 4, 6, 2, 8, 1, 14, 2, 6, 1, 1, 3, 1, 13, 13, 1, 5, 3, 3, 13, 5, 12, 1, 2, 2, 6, 11, 4, 4, 6, 5, 3, 1, 8, 2, 5, 1, 5, 1, 1, 4, 1, 11, 9, 2, 5, 1, 1, 1, 5, 3, 3, 8, 2, 7, 2, 1, 2, 1, 1, 10, 13, 1, 3, 3, 3, 10, 3, 1, 1, 7, 3, 3, 4, 5, 1, 5, 1, 1, 2, 2, 12, 5, 5, 5, 3, 3, 2, 1, 6, 2, 5, 1, 1, 3, 11, 5, 1, 2, 2, 1, 3, 3, 3, 1, 3, 1, 2, 7, 2, 1, 1, 3, 5, 2, 6, 6, 9, 2, 3, 4, 3, 1, 9, 5, 9, 1, 6, 1, 12, 4, 13, 1, 4, 3, 3, 5, 3, 1, 3, 3, 2, 7, 1, 2, 4, 3, 1, 4, 1, 2, 3, 2, 2, 6, 5, 1, 2, 2, 1, 6, 1, 6, 4, 9, 1, 7, 4, 2, 16, 4, 1, 7, 5, 1, 4, 1, 11, 2, 1, 2, 6, 2, 3, 2, 1, 4, 5, 6, 3, 1, 1, 5, 2, 4, 8, 3, 14, 1, 8, 4, 2, 7, 1, 1, 4, 2, 2, 3, 4, 4, 2, 4, 8, 11, 2, 14, 13, 8, 1, 2, 2, 5, 5, 3, 2, 9, 1, 1, 3, 2, 1, 4, 1, 19, 6, 6, 10, 3, 2, 3, 2, 2, 9, 1, 1, 5, 2, 7, 4, 5, 4, 2, 4, 1, 8, 1, 2, 1, 11, 10, 5, 1, 1, 8, 5, 2, 1, 6, 2, 1, 1, 2, 6, 1, 2, 7, 1, 1, 4, 1, 4, 4, 1, 3, 5, 1, 2, 2, 10, 2, 3, 3, 12, 3, 8, 11, 3, 1, 3, 1, 1, 2, 3, 6, 2, 1, 2, 2, 9, 1, 6, 5, 13, 3, 1, 8, 3, 1, 13, 8, 1, 10, 1, 9, 2, 5, 2, 1, 1, 15, 3, 2, 2, 4, 3, 2, 5, 1, 13, 3, 1, 4, 5, 4, 2, 2, 9, 1, 3, 2, 1, 1, 5, 6, 2, 1, 2, 3, 8, 10, 2, 2, 1, 4, 4, 1, 7, 2, 2, 2, 7, 4, 9, 2, 8, 2, 1, 1, 6, 1, 3, 3, 8, 1, 8, 1, 13, 1, 1, 9, 1, 1, 3, 2, 7, 2, 4, 3, 2, 6, 2, 2, 8, 4, 9, 2, 3, 4, 1, 1, 4, 6, 3, 1, 6, 1, 2, 3, 2, 14, 4, 9, 1, 1, 3, 14, 7, 8, 5, 6, 11, 1, 4, 8, 12, 1, 3, 1, 2, 1, 5, 1, 16, 7, 2, 13, 4, 2, 3, 3, 4, 5, 3, 1, 10, 1, 5, 5, 1, 4, 2, 3, 1, 1, 3, 5, 1, 1, 4, 4, 4, 3, 1, 8, 3, 2, 1, 6, 5, 4, 3, 3, 2, 5, 4, 2, 2, 5, 3, 8, 1, 4, 9, 12, 2, 7, 5, 1, 2, 3, 1, 5, 3, 3, 3, 3, 6, 10, 5, 7, 9, 11, 3, 1, 1, 3, 8, 6, 7, 2, 7, 5, 1, 7, 2, 3, 5, 9, 8, 5, 4, 10, 2, 2, 3, 12, 3, 3, 4, 5, 2, 2, 17, 1, 4, 4, 2, 3, 2, 2, 6, 6, 1, 22, 3, 2, 2, 4, 1, 2, 2, 1, 5, 2, 8, 12, 1, 5, 1, 1, 8, 3, 5, 5, 2, 4, 4, 3, 3, 4, 2, 1, 2, 3, 2, 2, 2, 9, 1, 7, 2, 1, 7, 7, 4, 3, 2, 3, 8, 1, 1, 1, 1, 3, 2, 9, 1, 1, 1, 4, 3, 1, 6, 15, 7, 4, 2, 1, 11, 2, 3, 1, 1, 4, 3, 8, 3, 10, 3, 1, 3, 7, 12, 3, 13, 2, 1, 5, 7, 3, 3, 9, 6, 1, 2, 14, 4, 2, 2, 2, 1, 1, 9, 1, 4, 3, 1, 20, 6, 7, 2, 2, 5, 10, 4, 9, 8, 2, 5, 8, 3, 1, 2, 4, 1, 2, 1, 8, 2, 3, 7, 9, 3, 1, 5, 1, 4, 4, 2, 2, 2, 1, 1, 2, 1, 4, 3, 4, 2, 1, 8, 4, 2, 10, 3, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 10, 2, 6, 6, 1, 3, 8, 1, 1, 4, 8, 2, 4, 7, 4, 4, 3, 7, 3, 5, 1, 3, 4, 3, 2, 1, 2, 7, 5, 12, 5, 3, 3, 7, 4, 1, 4, 6, 15, 7, 6, 2, 6, 7, 2, 2, 2, 1, 3, 5, 2, 7, 1, 4, 5, 9, 2, 4, 1, 4, 1, 3, 2, 6, 2, 1, 1, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 3, 1, 4, 1, 2, 7, 7, 3, 11, 8, 4, 4, 11, 2, 5, 3, 3, 12, 5, 4, 7, 1, 1, 1, 5, 1, 3, 3, 4, 1, 1, 3, 2, 2, 21, 3, 1, 8, 1, 1, 5, 2, 1, 7, 1, 4, 2, 4, 6, 4, 3, 9, 5, 3, 5, 6, 3, 4, 8, 2, 1, 7, 1, 1, 6, 1, 13, 7, 3, 2, 2, 1, 2, 1, 8, 5, 1, 1, 10, 1, 2, 13, 1, 6, 6, 7, 5, 11, 4, 1, 3, 1, 5, 5, 7, 2, 3, 3, 4, 10, 10, 2, 11, 2, 3, 15, 2, 1, 3, 5, 1, 2, 5, 1, 1, 3, 4, 2, 3, 5, 1, 5, 5, 1, 12, 14, 1, 6, 11, 8, 9, 2, 3, 5, 2, 2, 1, 1, 3, 4, 7, 1, 4, 4, 1, 2, 10, 3, 4, 5, 6, 3, 4, 3, 8, 3, 2, 10, 1, 4, 3, 9, 14, 9, 7, 4, 1, 1, 4, 2, 8, 1, 1, 1, 9, 7, 3, 5, 8, 1, 2, 5, 3, 3, 1, 1, 10, 2, 3, 1, 1, 2, 2, 4, 3, 11, 11, 3, 3, 7, 5, 1, 2, 3, 4, 2, 3, 18, 1, 1, 1, 1, 4, 1, 9, 5, 2, 4, 6, 10, 6, 14, 1, 1, 2, 4, 9, 2, 2, 3, 2, 8, 5, 1, 3, 3, 2, 4, 6, 1, 4, 3, 6, 6, 2, 1, 3, 3, 5, 2, 1, 2, 8, 3, 1, 1, 3, 1, 5, 2, 4, 1, 3, 3, 5, 2, 4, 6, 7, 18, 5, 2, 6, 2, 3, 2, 1, 2, 6, 7, 1, 4, 1, 3, 12, 2, 12, 3, 9, 3, 1, 1, 5, 18, 1, 1, 11, 3, 18, 3, 2, 1, 5, 6, 1, 1, 7, 1, 1, 1, 5, 1, 2, 1, 7, 7, 1, 19, 2, 5, 5, 9, 2, 9, 6, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 2, 7, 5, 3, 1, 2, 5, 9, 5, 4, 2, 3, 5, 4, 4, 5, 5, 3, 11, 1, 7, 2, 2, 1, 3, 1, 2, 1, 1, 4, 1, 1, 3, 4, 4, 2, 1, 1, 3, 1, 11, 5, 12, 1, 2, 5, 1, 1, 1, 1, 1, 13, 7, 1, 7, 2, 7, 1, 5, 5, 4, 2, 3, 5, 1, 3, 4, 6, 1, 1, 1, 2, 1, 5, 7, 3, 4, 1, 8, 3, 2, 8, 3, 1, 2, 8, 1, 1, 2, 1, 2, 5, 18, 3, 1, 1, 8, 1, 1, 14, 1, 3, 2, 4, 3, 1, 5, 1, 1, 4, 7, 1, 2, 3, 6, 3, 1, 2, 7, 2, 5, 1, 9, 3, 1, 1, 2, 7, 2, 6, 2, 6, 1, 1, 1, 7, 2, 8, 1, 14, 7, 3, 3, 9, 4, 7, 2, 1, 1, 10, 7, 4, 1, 1, 4, 7, 2, 1, 2, 1, 1, 6, 9]