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
5,940
24,284,356 combos · 35.5% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 🧠 Smart
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 #62 = {63} random

Descriptive

Apariții
4192
Mean ± std
4 ± 3.38
CV (std/mean)
0.846
Min/Max gap
1 / 28
Last seen
16752 (gap actual: 2)

Percentile gap-uri

P25 / mediana / P75
2 / 3 / 5
P90 / P95
9 / 11
IQR
3

Streaks & Pattern

Hot streak (consecutive)
6
Cold streak (max absență)
28
Autocorrelation lag-1
0.013
Drift (h2-h1)
-0.09
Best period T
T=27 (entropy=0.001)

Overdue Status

Current gap
2
vs mean (z-score)
-0.59 σ
vs P95
0.18x

Statistical Test (Chi-square)

chi²
463.27
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2934 / 1258 apariții
Mean train
4.08
MAE
2.41
Accuracy
40.9%
Erori per pred
[6,3,3,2,2,0,2,2,4,0,3,2,3,0,2,2,0,1,3,2,4,1,0,1,2,3,2,2,3,0,6,3,2,2,3,2,3,3,0,1,3,1,2,3,2,2,1,3,4,2,0,2,1,1,1,2,3,1,3,2,11,2,2,1,6,0,0,1,1,2,2,3,0,3,3,2,4,2,3,1,3,2,1,3,2,10,2,1,0,1,1,3,1,3,2,3,2,6,1,2,3,2,3,1,0,0,3,1,0,0,5,2,0,2,0,9,3,2,0,1,3,1,3,4,2,3,5,0,3,8,2,0,2,2,3,1,3,3,1,3,3,3,0,7,1,0,1,1,3,2,1,1,1,1,1,3,1,2,3,2,2,2,3,1,6,3,2,2,3,0,2,0,0,3,2,2,3,4,1,2,1,4,3,2,3,3,3,2,2,1,3,1,14,3,0,0,8,6,2,1,3,1,2,3,0,6,5,3,5,1,4,3,2,2,1,2,3,2,1,2,3,0,3,1,1,2,6,2,0,6,2,0,2,0,2,3,4,10,1,3,5,3,1,1,2,3,1,9,5,3,2,1,3,6,3,1,1,0,3,1,3,6,0,2,15,2,1,3,0,0,1,7,2,3,1,1,2,0,2,2,0,8,4,3,6,3,0,0,2,3,0,2,3,2,1,1,1,3,3,2,0,1,3,1,1,2,2,0,0,3,3,0,1,2,2,2,2,1,3,6,1,1,3,3,2,1,3,3,2,1,1,3,0,1,0,2,3,0,1,2,1,1,3,2,2,3,0,1,1,1,3,2,1,5,1,3,3,1,1,2,1,3,2,1,2,2,7,0,2,3,1,1,3,2,3,0,2,3,3,0,4,5,3,2,1,4,2,2,1,7,2,4,2,5,11,2,0,2,3,0,3,1,1,1,2,3,3,3,3,2,1,1,3,1,2,1,1,1,0,3,3,0,1,1,0,1,0,1,5,1,1,2,0,1,3,7,3,0,16,1,3,7,2,0,1,1,5,4,7,3,3,3,3,3,3,2,3,3,11,3,1,3,1,2,3,3,2,3,6,12,3,0,0,4,3,3,10,6,0,2,1,3,3,3,1,3,2,3,2,8,2,1,2,3,2,3,3,1,0,2,1,2,6,3,2,1,2,3,2,3,2,10,5,0,2,7,1,1,1,2,3,1,3,2,9,0,2,2,2,1,2,3,1,3,1,5,2,2,2,1,3,5,2,3,2,0,0,3,3,0,1,1,3,1,3,1,1,2,3,3,1,2,2,1,3,2,2,2,3,2,0,0,8,3,5,9,2,2,1,8,4,3,4,3,0,3,0,4,1,2,3,3,2,10,2,0,0,1,8,6,6,3,7,0,3,3,3,0,3,2,0,1,8,3,2,2,1,4,2,3,1,3,3,3,3,3,3,3,3,5,3,3,3,4,1,1,3,3,3,3,15,1,3,0,5,1,2,3,3,3,3,2,2,3,2,3,0,0,1,1,3,1,1,3,1,1,3,2,1,2,2,0,2,5,5,0,0,3,0,3,2,3,1,2,2,2,3,9,2,3,1,2,2,5,2,2,1,4,3,3,1,3,3,3,7,3,0,2,1,3,2,11,2,0,0,2,1,2,2,3,3,2,2,1,3,3,2,1,3,0,5,0,3,2,8,14,5,3,1,3,4,1,2,2,2,3,1,6,0,3,0,0,1,3,1,2,1,1,3,1,1,1,3,3,2,8,1,2,2,5,7,2,2,4,5,2,1,1,3,5,1,2,0,3,1,5,3,3,0,2,3,1,3,3,1,3,2,1,1,8,1,2,2,5,3,2,3,0,2,3,3,3,2,4,2,0,3,3,2,2,3,1,3,3,4,1,3,3,3,1,3,3,2,12,1,2,3,3,2,3,0,1,3,2,1,3,2,2,3,7,9,3,2,3,0,1,3,2,7,3,3,3,2,2,1,2,4,3,3,0,3,3,1,3,0,1,3,14,3,0,2,2,2,0,2,2,2,3,3,3,2,1,2,3,3,6,4,1,2,3,0,4,3,1,3,2,3,1,2,3,2,7,1,1,2,3,3,2,5,1,1,3,2,2,1,7,1,4,2,1,1,3,3,2,1,2,1,6,7,3,3,1,1,2,2,1,1,1,1,3,2,2,2,3,1,1,2,0,0,3,1,2,3,1,2,1,1,3,3,1,3,2,3,2,3,1,16,4,3,1,4,3,7,3,2,3,3,3,2,3,1,1,2,1,2,1,0,2,2,0,4,2,4,5,1,3,1,3,0,2,3,3,1,2,3,0,2,1,1,2,0,3,1,3,0,3,1,3,7,2,0,1,3,2,1,3,0,3,2,1,2,4,8,0,3,2,1,3,0,13,4,1,2,3,3,3,2,1,1,3,3,0,2,2,3,3,0,2,3,3,3,1,3,1,2,2,3,2,3,1,1,4,2,1,4,3,0,0,7,1,4,3,2,1,3,2,1,1,3,3,2,2,3,1,1,2,1,2,3,0,1,2,0,3,2,1,10,2,2,2,2,2,1,0,3,1,7,2,1,3,1,2,2,3,1,2,2,2,0,2,0,2,3,3,2,0,3,3,3,1,3,3,3,6,0,0,3,1,3,3,1,0,5,6,3,0,2,6,0,2,2,1,1,1,2,2,1,5,2,3,3,1,1,2,2,2,2,3,1,3,0,2,2,1,0,9,1,2,2,2,3,5,3,0,1,2,9,3,3,5,1,3,3,3,0,3,1,1,1,2,1,1,3,4,1,1,2,3,3,2,2,1,2,0,3,0,2,3,3,3,2,1,3,1,3,2,7,2,1,2,1,2,2,2,0,1,1,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.577
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.409
Total: 57.6%

🎯 Predicție următoarea apariție

Most likely
draw #16756
±1 sigma window
[16755..16759]
P25-P95 window
[16755..16763]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 13 apariții Extrageri 84-167: 14 apariții Extrageri 168-251: 19 apariții Extrageri 252-335: 15 apariții Extrageri 336-418: 20 apariții Extrageri 419-502: 22 apariții Extrageri 503-586: 18 apariții Extrageri 587-670: 17 apariții Extrageri 671-753: 12 apariții Extrageri 754-837: 28 apariții Extrageri 838-921: 22 apariții Extrageri 922-1005: 19 apariții Extrageri 1006-1089: 16 apariții Extrageri 1090-1172: 18 apariții Extrageri 1173-1256: 20 apariții Extrageri 1257-1340: 15 apariții Extrageri 1341-1424: 26 apariții Extrageri 1425-1507: 11 apariții Extrageri 1508-1591: 24 apariții Extrageri 1592-1675: 17 apariții Extrageri 1676-1759: 16 apariții Extrageri 1760-1842: 20 apariții Extrageri 1843-1926: 20 apariții Extrageri 1927-2010: 13 apariții Extrageri 2011-2094: 21 apariții Extrageri 2095-2178: 26 apariții Extrageri 2179-2261: 23 apariții Extrageri 2262-2345: 20 apariții Extrageri 2346-2429: 28 apariții Extrageri 2430-2513: 11 apariții Extrageri 2514-2596: 18 apariții Extrageri 2597-2680: 19 apariții Extrageri 2681-2764: 22 apariții Extrageri 2765-2848: 21 apariții Extrageri 2849-2931: 19 apariții Extrageri 2932-3015: 26 apariții Extrageri 3016-3099: 20 apariții Extrageri 3100-3183: 22 apariții Extrageri 3184-3267: 27 apariții Extrageri 3268-3350: 23 apariții Extrageri 3351-3434: 19 apariții Extrageri 3435-3518: 19 apariții Extrageri 3519-3602: 20 apariții Extrageri 3603-3685: 15 apariții Extrageri 3686-3769: 27 apariții Extrageri 3770-3853: 20 apariții Extrageri 3854-3937: 22 apariții Extrageri 3938-4020: 20 apariții Extrageri 4021-4104: 25 apariții Extrageri 4105-4188: 22 apariții Extrageri 4189-4272: 23 apariții Extrageri 4273-4356: 20 apariții Extrageri 4357-4439: 27 apariții Extrageri 4440-4523: 28 apariții Extrageri 4524-4607: 25 apariții Extrageri 4608-4691: 17 apariții Extrageri 4692-4774: 22 apariții Extrageri 4775-4858: 25 apariții Extrageri 4859-4942: 19 apariții Extrageri 4943-5026: 15 apariții Extrageri 5027-5109: 21 apariții Extrageri 5110-5193: 26 apariții Extrageri 5194-5277: 23 apariții Extrageri 5278-5361: 30 apariții Extrageri 5362-5445: 20 apariții Extrageri 5446-5528: 18 apariții Extrageri 5529-5612: 24 apariții Extrageri 5613-5696: 28 apariții Extrageri 5697-5780: 19 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 25 apariții Extrageri 5948-6031: 23 apariții Extrageri 6032-6115: 19 apariții Extrageri 6116-6198: 18 apariții Extrageri 6199-6282: 22 apariții Extrageri 6283-6366: 25 apariții Extrageri 6367-6450: 16 apariții Extrageri 6451-6534: 16 apariții Extrageri 6535-6617: 26 apariții Extrageri 6618-6701: 18 apariții Extrageri 6702-6785: 24 apariții Extrageri 6786-6869: 23 apariții Extrageri 6870-6952: 21 apariții Extrageri 6953-7036: 19 apariții Extrageri 7037-7120: 17 apariții Extrageri 7121-7204: 22 apariții Extrageri 7205-7287: 18 apariții Extrageri 7288-7371: 18 apariții Extrageri 7372-7455: 22 apariții Extrageri 7456-7539: 22 apariții Extrageri 7540-7623: 21 apariții Extrageri 7624-7706: 20 apariții Extrageri 7707-7790: 21 apariții Extrageri 7791-7874: 21 apariții Extrageri 7875-7958: 21 apariții Extrageri 7959-8041: 24 apariții Extrageri 8042-8125: 17 apariții Extrageri 8126-8209: 20 apariții Extrageri 8210-8293: 34 apariții Extrageri 8294-8377: 23 apariții Extrageri 8378-8460: 17 apariții Extrageri 8461-8544: 23 apariții Extrageri 8545-8628: 20 apariții Extrageri 8629-8712: 18 apariții Extrageri 8713-8795: 19 apariții Extrageri 8796-8879: 22 apariții Extrageri 8880-8963: 17 apariții Extrageri 8964-9047: 12 apariții Extrageri 9048-9130: 19 apariții Extrageri 9131-9214: 18 apariții Extrageri 9215-9298: 23 apariții Extrageri 9299-9382: 13 apariții Extrageri 9383-9466: 13 apariții Extrageri 9467-9549: 18 apariții Extrageri 9550-9633: 22 apariții Extrageri 9634-9717: 24 apariții Extrageri 9718-9801: 18 apariții Extrageri 9802-9884: 13 apariții Extrageri 9885-9968: 24 apariții Extrageri 9969-10052: 27 apariții Extrageri 10053-10136: 27 apariții Extrageri 10137-10219: 18 apariții Extrageri 10220-10303: 25 apariții Extrageri 10304-10387: 20 apariții Extrageri 10388-10471: 23 apariții Extrageri 10472-10555: 24 apariții Extrageri 10556-10638: 22 apariții Extrageri 10639-10722: 21 apariții Extrageri 10723-10806: 18 apariții Extrageri 10807-10890: 20 apariții Extrageri 10891-10973: 23 apariții Extrageri 10974-11057: 18 apariții Extrageri 11058-11141: 19 apariții Extrageri 11142-11225: 23 apariții Extrageri 11226-11308: 16 apariții Extrageri 11309-11392: 21 apariții Extrageri 11393-11476: 18 apariții Extrageri 11477-11560: 22 apariții Extrageri 11561-11644: 22 apariții Extrageri 11645-11727: 20 apariții Extrageri 11728-11811: 22 apariții Extrageri 11812-11895: 19 apariții Extrageri 11896-11979: 24 apariții Extrageri 11980-12062: 23 apariții Extrageri 12063-12146: 29 apariții Extrageri 12147-12230: 20 apariții Extrageri 12231-12314: 22 apariții Extrageri 12315-12397: 20 apariții Extrageri 12398-12481: 23 apariții Extrageri 12482-12565: 27 apariții Extrageri 12566-12649: 21 apariții Extrageri 12650-12733: 17 apariții Extrageri 12734-12816: 23 apariții Extrageri 12817-12900: 16 apariții Extrageri 12901-12984: 20 apariții Extrageri 12985-13068: 18 apariții Extrageri 13069-13151: 23 apariții Extrageri 13152-13235: 24 apariții Extrageri 13236-13319: 25 apariții Extrageri 13320-13403: 23 apariții Extrageri 13404-13486: 14 apariții Extrageri 13487-13570: 26 apariții Extrageri 13571-13654: 17 apariții Extrageri 13655-13738: 19 apariții Extrageri 13739-13822: 19 apariții Extrageri 13823-13905: 25 apariții Extrageri 13906-13989: 20 apariții Extrageri 13990-14073: 26 apariții Extrageri 14074-14157: 25 apariții Extrageri 14158-14240: 16 apariții Extrageri 14241-14324: 17 apariții Extrageri 14325-14408: 27 apariții Extrageri 14409-14492: 18 apariții Extrageri 14493-14575: 24 apariții Extrageri 14576-14659: 23 apariții Extrageri 14660-14743: 25 apariții Extrageri 14744-14827: 18 apariții Extrageri 14828-14911: 22 apariții Extrageri 14912-14994: 16 apariții Extrageri 14995-15078: 21 apariții Extrageri 15079-15162: 26 apariții Extrageri 15163-15246: 24 apariții Extrageri 15247-15329: 26 apariții Extrageri 15330-15413: 20 apariții Extrageri 15414-15497: 25 apariții Extrageri 15498-15581: 18 apariții Extrageri 15582-15664: 27 apariții Extrageri 15665-15748: 17 apariții Extrageri 15749-15832: 21 apariții Extrageri 15833-15916: 27 apariții Extrageri 15917-16000: 19 apariții Extrageri 16001-16083: 27 apariții Extrageri 16084-16167: 18 apariții Extrageri 16168-16251: 22 apariții Extrageri 16252-16335: 29 apariții Extrageri 16336-16418: 22 apariții Extrageri 16419-16502: 24 apariții Extrageri 16503-16586: 19 apariții Extrageri 16587-16670: 30 apariții Extrageri 16671-16754: 18 apariții 0 4189 8377 12566 16754 mean=21/bin max=34 apariții/bin
Histogram: fiecare bară = un interval de 84 extrageri. Înălțime = nr apariții în acel interval. Galben deschis → portocaliu = mai multe apariții. Linie albastră întreruptă = densitatea medie (21 apariții/bin).
Combinația are 4,192 apariții — prea multe pentru afișare individuală (s-ar suprapune). Histogramul de mai sus arată variațiile de densitate temporală.

Distribuția gap-urilor

Bare = gap-uri consecutive. Verde = sub P25, galben = mediu, roșu = peste P75. Linie albastră = mean.

Date brute

Aparitii (draw_id):
[2, 7, 10, 14, 22, 40, 48, 50, 63, 65, 78, 80, 81, 87, 95, 103, 112, 117, 118, 123, 132, 142, 149, 152, 154, 163, 167, 171, 179, 181, 184, 190, 191, 192, 199, 209, 212, 213, 222, 227, 228, 232, 235, 242, 243, 247, 253, 258, 260, 263, 270, 272, 279, 296, 305, 314, 320, 322, 325, 332, 336, 338, 339, 341, 345, 350, 357, 364, 365, 366, 367, 368, 371, 374, 375, 381, 382, 388, 396, 411, 412, 423, 426, 427, 430, 439, 442, 446, 450, 452, 457, 460, 465, 468, 472, 474, 476, 481, 482, 483, 485, 489, 492, 513, 518, 521, 522, 523, 526, 527, 534, 541, 546, 548, 555, 561, 564, 567, 574, 575, 584, 588, 589, 594, 597, 607, 610, 611, 624, 632, 639, 645, 651, 659, 664, 669, 670, 671, 674, 680, 703, 716, 717, 728, 730, 732, 733, 748, 749, 753, 756, 766, 767, 769, 772, 778, 781, 784, 788, 790, 795, 796, 798, 801, 803, 805, 811, 812, 815, 820, 821, 823, 824, 826, 829, 831, 832, 836, 839, 840, 842, 843, 854, 859, 861, 867, 873, 879, 882, 884, 887, 897, 899, 900, 906, 907, 908, 918, 920, 921, 929, 930, 933, 937, 940, 944, 951, 953, 960, 961, 970, 971, 977, 979, 981, 983, 986, 997, 1003, 1007, 1010, 1017, 1033, 1034, 1039, 1048, 1053, 1056, 1058, 1059, 1064, 1068, 1070, 1086, 1089, 1095, 1097, 1105, 1110, 1122, 1124, 1138, 1139, 1141, 1142, 1149, 1153, 1156, 1158, 1161, 1162, 1165, 1166, 1177, 1178, 1182, 1186, 1188, 1192, 1195, 1200, 1211, 1214, 1224, 1227, 1232, 1233, 1234, 1242, 1243, 1244, 1246, 1256, 1263, 1291, 1299, 1300, 1302, 1303, 1304, 1306, 1307, 1309, 1311, 1313, 1315, 1321, 1337, 1344, 1345, 1348, 1349, 1352, 1353, 1356, 1357, 1364, 1366, 1369, 1373, 1382, 1384, 1392, 1395, 1398, 1401, 1402, 1405, 1406, 1410, 1413, 1416, 1421, 1423, 1429, 1435, 1450, 1475, 1484, 1489, 1491, 1493, 1494, 1503, 1506, 1509, 1518, 1519, 1522, 1524, 1526, 1528, 1529, 1539, 1540, 1545, 1546, 1549, 1552, 1553, 1560, 1562, 1565, 1568, 1571, 1572, 1578, 1580, 1591, 1597, 1598, 1604, 1608, 1614, 1617, 1622, 1639, 1645, 1646, 1651, 1653, 1658, 1659, 1663, 1669, 1674, 1681, 1683, 1688, 1695, 1697, 1703, 1704, 1710, 1714, 1724, 1727, 1747, 1754, 1755, 1759, 1760, 1762, 1769, 1783, 1785, 1786, 1787, 1794, 1804, 1805, 1807, 1808, 1814, 1816, 1823, 1824, 1827, 1833, 1834, 1841, 1843, 1856, 1862, 1870, 1877, 1883, 1884, 1890, 1891, 1892, 1893, 1895, 1901, 1902, 1913, 1914, 1915, 1916, 1918, 1920, 1922, 1934, 1941, 1943, 1949, 1951, 1952, 1959, 1977, 1979, 1988, 1994, 2003, 2011, 2013, 2014, 2015, 2020, 2028, 2029, 2033, 2035, 2036, 2037, 2040, 2041, 2043, 2044, 2053, 2067, 2078, 2085, 2089, 2091, 2092, 2106, 2112, 2119, 2121, 2122, 2123, 2125, 2129, 2133, 2135, 2141, 2143, 2145, 2146, 2147, 2148, 2149, 2152, 2154, 2155, 2158, 2163, 2166, 2170, 2172, 2176, 2185, 2189, 2192, 2198, 2201, 2206, 2207, 2211, 2217, 2219, 2227, 2228, 2229, 2231, 2236, 2238, 2239, 2242, 2243, 2255, 2258, 2260, 2262, 2264, 2266, 2272, 2278, 2283, 2284, 2291, 2298, 2309, 2312, 2315, 2318, 2323, 2326, 2328, 2329, 2330, 2334, 2339, 2340, 2347, 2350, 2352, 2353, 2354, 2357, 2359, 2362, 2375, 2376, 2378, 2383, 2387, 2392, 2397, 2400, 2403, 2404, 2413, 2415, 2416, 2417, 2419, 2423, 2426, 2427, 2429, 2430, 2434, 2436, 2438, 2439, 2452, 2458, 2470, 2480, 2481, 2496, 2499, 2515, 2516, 2521, 2528, 2530, 2531, 2539, 2541, 2549, 2552, 2553, 2562, 2570, 2573, 2575, 2577, 2586, 2590, 2601, 2603, 2604, 2619, 2621, 2622, 2624, 2629, 2630, 2636, 2640, 2642, 2645, 2653, 2659, 2662, 2663, 2671, 2677, 2682, 2685, 2686, 2687, 2692, 2693, 2695, 2696, 2700, 2703, 2705, 2706, 2708, 2709, 2712, 2713, 2715, 2730, 2733, 2738, 2748, 2751, 2766, 2767, 2768, 2770, 2780, 2781, 2783, 2786, 2801, 2807, 2816, 2817, 2818, 2820, 2822, 2827, 2831, 2839, 2844, 2845, 2848, 2855, 2864, 2869, 2876, 2880, 2888, 2892, 2904, 2909, 2911, 2915, 2916, 2918, 2919, 2924, 2928, 2929, 2930, 2932, 2934, 2936, 2937, 2938, 2942, 2943, 2944, 2946, 2954, 2955, 2956, 2957, 2961, 2963, 2964, 2966, 2970, 2973, 2974, 2978, 2980, 2991, 2993, 2996, 3004, 3009, 3020, 3025, 3026, 3027, 3032, 3036, 3041, 3050, 3052, 3067, 3071, 3073, 3076, 3080, 3081, 3083, 3086, 3093, 3097, 3099, 3102, 3108, 3114, 3116, 3121, 3122, 3127, 3130, 3132, 3133, 3137, 3145, 3146, 3149, 3152, 3153, 3162, 3167, 3176, 3177, 3180, 3181, 3185, 3186, 3187, 3195, 3197, 3202, 3204, 3207, 3208, 3212, 3223, 3224, 3227, 3229, 3230, 3234, 3242, 3243, 3246, 3249, 3250, 3253, 3257, 3262, 3264, 3265, 3268, 3277, 3282, 3283, 3284, 3288, 3289, 3290, 3296, 3299, 3302, 3303, 3305, 3314, 3315, 3317, 3319, 3321, 3322, 3323, 3333, 3336, 3337, 3343, 3352, 3355, 3361, 3363, 3367, 3368, 3377, 3382, 3390, 3391, 3394, 3400, 3403, 3404, 3405, 3417, 3418, 3426, 3428, 3436, 3441, 3442, 3447, 3450, 3458, 3460, 3465, 3470, 3482, 3488, 3490, 3491, 3495, 3497, 3505, 3507, 3513, 3515, 3528, 3531, 3533, 3537, 3540, 3545, 3546, 3556, 3566, 3571, 3572, 3576, 3582, 3583, 3585, 3588, 3592, 3594, 3599, 3600, 3608, 3612, 3614, 3623, 3625, 3630, 3631, 3634, 3646, 3649, 3654, 3655, 3663, 3671, 3675, 3693, 3697, 3701, 3707, 3709, 3719, 3720, 3721, 3728, 3730, 3731, 3733, 3738, 3740, 3743, 3744, 3745, 3749, 3751, 3752, 3755, 3759, 3760, 3763, 3765, 3766, 3770, 3773, 3774, 3778, 3780, 3787, 3804, 3807, 3815, 3819, 3823, 3828, 3829, 3832, 3833, 3835, 3837, 3838, 3840, 3845, 3847, 3857, 3858, 3861, 3868, 3871, 3875, 3876, 3884, 3885, 3886, 3887, 3897, 3899, 3903, 3904, 3905, 3906, 3911, 3915, 3920, 3925, 3938, 3939, 3940, 3941, 3943, 3946, 3949, 3958, 3964, 3967, 3968, 3972, 3973, 3975, 3978, 3979, 3986, 3995, 4001, 4014, 4016, 4022, 4025, 4026, 4031, 4033, 4038, 4039, 4040, 4044, 4046, 4055, 4059, 4060, 4063, 4064, 4066, 4067, 4070, 4071, 4073, 4074, 4075, 4081, 4082, 4084, 4106, 4108, 4110, 4114, 4120, 4122, 4123, 4128, 4137, 4142, 4148, 4153, 4155, 4156, 4157, 4160, 4165, 4171, 4175, 4180, 4183, 4184, 4190, 4195, 4196, 4198, 4199, 4200, 4202, 4204, 4205, 4211, 4213, 4220, 4233, 4235, 4237, 4243, 4248, 4251, 4255, 4256, 4259, 4268, 4271, 4274, 4275, 4283, 4284, 4290, 4291, 4294, 4299, 4304, 4313, 4317, 4321, 4322, 4331, 4335, 4338, 4343, 4347, 4349, 4355, 4358, 4361, 4363, 4364, 4366, 4373, 4375, 4378, 4381, 4384, 4389, 4397, 4399, 4402, 4404, 4405, 4408, 4411, 4412, 4414, 4419, 4422, 4425, 4427, 4429, 4431, 4440, 4445, 4450, 4451, 4452, 4454, 4456, 4457, 4458, 4460, 4474, 4481, 4484, 4485, 4486, 4490, 4493, 4494, 4495, 4497, 4499, 4500, 4502, 4511, 4514, 4515, 4516, 4519, 4522, 4526, 4528, 4530, 4540, 4543, 4549, 4551, 4552, 4553, 4555, 4559, 4566, 4567, 4568, 4571, 4575, 4577, 4584, 4593, 4594, 4595, 4596, 4602, 4605, 4606, 4609, 4613, 4614, 4618, 4626, 4635, 4639, 4651, 4661, 4666, 4672, 4673, 4678, 4679, 4688, 4689, 4691, 4695, 4696, 4699, 4700, 4707, 4708, 4709, 4712, 4718, 4719, 4721, 4722, 4725, 4742, 4744, 4747, 4751, 4758, 4760, 4764, 4768, 4775, 4781, 4785, 4789, 4792, 4798, 4799, 4800, 4802, 4807, 4808, 4811, 4817, 4818, 4821, 4822, 4824, 4829, 4831, 4833, 4836, 4837, 4844, 4848, 4850, 4851, 4860, 4861, 4862, 4874, 4877, 4892, 4894, 4899, 4905, 4913, 4918, 4929, 4930, 4935, 4936, 4937, 4941, 4942, 4943, 4944, 4950, 4967, 4971, 4979, 4981, 4985, 4996, 4998, 5005, 5007, 5010, 5015, 5022, 5027, 5029, 5032, 5036, 5046, 5047, 5048, 5050, 5053, 5055, 5063, 5066, 5067, 5072, 5077, 5079, 5082, 5085, 5086, 5098, 5103, 5104, 5113, 5118, 5119, 5123, 5126, 5132, 5134, 5136, 5137, 5142, 5145, 5148, 5149, 5153, 5157, 5163, 5165, 5167, 5170, 5176, 5177, 5183, 5184, 5187, 5193, 5194, 5202, 5206, 5209, 5211, 5214, 5216, 5219, 5232, 5233, 5234, 5237, 5246, 5249, 5250, 5256, 5261, 5263, 5267, 5269, 5270, 5271, 5272, 5274, 5289, 5290, 5291, 5292, 5293, 5296, 5297, 5300, 5302, 5303, 5304, 5306, 5309, 5310, 5311, 5312, 5315, 5316, 5324, 5338, 5340, 5350, 5351, 5352, 5353, 5354, 5355, 5357, 5358, 5360, 5363, 5366, 5367, 5368, 5372, 5374, 5379, 5380, 5384, 5386, 5395, 5396, 5397, 5398, 5405, 5413, 5421, 5422, 5425, 5430, 5447, 5462, 5467, 5468, 5469, 5472, 5474, 5480, 5487, 5489, 5490, 5495, 5496, 5498, 5502, 5507, 5515, 5525, 5530, 5532, 5534, 5537, 5541, 5542, 5545, 5549, 5552, 5556, 5559, 5569, 5571, 5575, 5588, 5591, 5597, 5598, 5600, 5603, 5606, 5609, 5610, 5613, 5615, 5621, 5626, 5633, 5637, 5639, 5643, 5645, 5648, 5650, 5651, 5654, 5657, 5660, 5666, 5667, 5670, 5672, 5673, 5677, 5679, 5682, 5685, 5687, 5690, 5693, 5695, 5697, 5699, 5700, 5702, 5707, 5712, 5723, 5726, 5730, 5740, 5746, 5758, 5763, 5765, 5769, 5770, 5771, 5773, 5778, 5779, 5787, 5791, 5793, 5795, 5802, 5803, 5805, 5812, 5816, 5819, 5826, 5833, 5835, 5844, 5845, 5849, 5852, 5855, 5862, 5864, 5866, 5868, 5869, 5870, 5871, 5873, 5876, 5885, 5886, 5889, 5891, 5893, 5898, 5902, 5913, 5915, 5917, 5919, 5923, 5926, 5927, 5929, 5942, 5947, 5948, 5950, 5954, 5955, 5958, 5960, 5970, 5971, 5973, 5977, 5985, 5988, 5989, 5992, 5997, 6000, 6006, 6008, 6011, 6018, 6019, 6023, 6026, 6027, 6035, 6040, 6046, 6061, 6062, 6067, 6068, 6069, 6079, 6085, 6086, 6088, 6102, 6103, 6109, 6111, 6113, 6114, 6116, 6124, 6125, 6129, 6139, 6140, 6144, 6149, 6150, 6154, 6155, 6161, 6163, 6171, 6173, 6179, 6192, 6193, 6198, 6201, 6208, 6210, 6212, 6215, 6216, 6218, 6226, 6228, 6230, 6248, 6250, 6251, 6253, 6257, 6261, 6263, 6268, 6274, 6277, 6279, 6280, 6285, 6289, 6296, 6298, 6299, 6300, 6308, 6311, 6312, 6323, 6325, 6331, 6334, 6335, 6336, 6339, 6349, 6350, 6351, 6354, 6358, 6360, 6361, 6364, 6367, 6371, 6381, 6384, 6388, 6390, 6395, 6401, 6402, 6406, 6415, 6426, 6431, 6435, 6443, 6445, 6449, 6456, 6457, 6460, 6462, 6463, 6464, 6473, 6478, 6481, 6501, 6502, 6527, 6528, 6529, 6532, 6533, 6537, 6540, 6541, 6544, 6548, 6550, 6555, 6557, 6559, 6562, 6567, 6571, 6576, 6577, 6582, 6584, 6588, 6590, 6591, 6593, 6598, 6604, 6606, 6610, 6612, 6616, 6624, 6629, 6634, 6637, 6640, 6641, 6646, 6651, 6654, 6656, 6659, 6673, 6676, 6682, 6685, 6687, 6697, 6698, 6703, 6706, 6710, 6714, 6721, 6723, 6724, 6725, 6729, 6730, 6733, 6734, 6738, 6740, 6747, 6749, 6751, 6760, 6769, 6772, 6774, 6777, 6782, 6786, 6793, 6794, 6796, 6798, 6800, 6804, 6805, 6807, 6808, 6811, 6814, 6820, 6826, 6829, 6845, 6854, 6856, 6859, 6860, 6862, 6863, 6868, 6869, 6884, 6885, 6886, 6894, 6897, 6901, 6903, 6912, 6915, 6916, 6918, 6923, 6926, 6928, 6935, 6937, 6938, 6942, 6945, 6948, 6952, 6955, 6962, 6973, 6975, 6985, 6991, 6998, 7006, 7007, 7012, 7019, 7020, 7021, 7022, 7024, 7025, 7031, 7033, 7037, 7048, 7049, 7054, 7064, 7072, 7079, 7080, 7083, 7085, 7089, 7105, 7106, 7110, 7112, 7113, 7116, 7121, 7124, 7129, 7131, 7138, 7139, 7140, 7144, 7156, 7162, 7164, 7165, 7167, 7169, 7170, 7171, 7174, 7175, 7179, 7190, 7191, 7193, 7205, 7207, 7210, 7214, 7217, 7218, 7219, 7224, 7232, 7234, 7242, 7256, 7261, 7264, 7271, 7273, 7278, 7286, 7287, 7290, 7297, 7302, 7303, 7307, 7312, 7314, 7316, 7319, 7333, 7334, 7342, 7347, 7348, 7349, 7355, 7361, 7371, 7375, 7376, 7378, 7381, 7382, 7383, 7385, 7390, 7399, 7404, 7406, 7408, 7412, 7417, 7423, 7429, 7430, 7439, 7440, 7441, 7445, 7450, 7458, 7461, 7462, 7464, 7470, 7471, 7472, 7474, 7477, 7480, 7485, 7489, 7492, 7493, 7504, 7505, 7508, 7512, 7513, 7517, 7523, 7525, 7541, 7544, 7546, 7553, 7556, 7557, 7567, 7572, 7581, 7584, 7587, 7588, 7596, 7599, 7603, 7606, 7608, 7613, 7616, 7623, 7624, 7629, 7631, 7641, 7643, 7650, 7653, 7658, 7661, 7667, 7672, 7673, 7674, 7678, 7680, 7685, 7688, 7689, 7696, 7702, 7706, 7708, 7716, 7719, 7724, 7730, 7735, 7738, 7739, 7742, 7744, 7745, 7747, 7757, 7758, 7763, 7767, 7776, 7779, 7781, 7784, 7785, 7792, 7793, 7814, 7815, 7818, 7823, 7824, 7826, 7829, 7832, 7834, 7835, 7836, 7839, 7847, 7852, 7855, 7857, 7871, 7872, 7874, 7881, 7889, 7895, 7898, 7899, 7900, 7910, 7914, 7915, 7919, 7920, 7925, 7930, 7931, 7936, 7941, 7946, 7953, 7954, 7958, 7959, 7966, 7975, 7976, 7981, 7982, 7984, 7986, 7987, 7988, 7992, 7995, 7996, 7998, 7999, 8002, 8003, 8005, 8010, 8011, 8020, 8024, 8031, 8035, 8039, 8043, 8047, 8049, 8052, 8059, 8062, 8066, 8067, 8073, 8074, 8088, 8094, 8100, 8104, 8105, 8117, 8123, 8127, 8128, 8130, 8147, 8154, 8157, 8166, 8167, 8169, 8170, 8176, 8184, 8186, 8187, 8188, 8193, 8202, 8205, 8207, 8210, 8211, 8213, 8214, 8215, 8218, 8220, 8222, 8226, 8227, 8233, 8234, 8235, 8236, 8244, 8246, 8249, 8252, 8253, 8255, 8257, 8260, 8263, 8265, 8268, 8277, 8279, 8281, 8283, 8288, 8290, 8291, 8292, 8293, 8294, 8295, 8303, 8305, 8315, 8316, 8327, 8333, 8336, 8337, 8338, 8343, 8344, 8346, 8349, 8352, 8353, 8354, 8359, 8360, 8365, 8371, 8376, 8377, 8378, 8386, 8390, 8393, 8394, 8413, 8415, 8418, 8428, 8432, 8437, 8445, 8449, 8451, 8452, 8457, 8461, 8464, 8469, 8470, 8471, 8480, 8491, 8492, 8493, 8498, 8500, 8501, 8508, 8513, 8521, 8523, 8529, 8531, 8535, 8541, 8542, 8543, 8544, 8545, 8548, 8553, 8561, 8567, 8571, 8575, 8578, 8579, 8584, 8585, 8589, 8591, 8593, 8598, 8606, 8612, 8613, 8614, 8619, 8623, 8632, 8633, 8639, 8642, 8656, 8658, 8664, 8667, 8670, 8672, 8674, 8680, 8685, 8694, 8695, 8696, 8698, 8699, 8716, 8721, 8722, 8724, 8727, 8734, 8738, 8741, 8743, 8755, 8756, 8757, 8760, 8767, 8771, 8772, 8779, 8780, 8793, 8804, 8808, 8812, 8814, 8816, 8817, 8819, 8828, 8829, 8832, 8834, 8847, 8851, 8855, 8858, 8859, 8860, 8862, 8866, 8869, 8874, 8875, 8886, 8890, 8897, 8901, 8902, 8906, 8916, 8920, 8926, 8935, 8938, 8942, 8943, 8948, 8951, 8952, 8956, 8974, 8981, 8983, 8984, 8987, 8993, 8997, 9003, 9023, 9030, 9039, 9045, 9050, 9057, 9064, 9068, 9074, 9081, 9082, 9083, 9084, 9094, 9098, 9106, 9107, 9108, 9110, 9123, 9126, 9128, 9131, 9132, 9137, 9155, 9158, 9159, 9163, 9164, 9165, 9169, 9170, 9176, 9181, 9184, 9191, 9193, 9208, 9209, 9215, 9216, 9217, 9221, 9223, 9225, 9226, 9240, 9241, 9246, 9250, 9253, 9260, 9261, 9267, 9272, 9275, 9280, 9282, 9287, 9289, 9290, 9294, 9298, 9317, 9318, 9321, 9343, 9352, 9356, 9365, 9368, 9372, 9373, 9378, 9379, 9382, 9387, 9392, 9393, 9403, 9411, 9415, 9419, 9420, 9424, 9431, 9448, 9451, 9460, 9468, 9473, 9474, 9490, 9494, 9496, 9503, 9514, 9518, 9523, 9525, 9526, 9527, 9528, 9532, 9539, 9543, 9545, 9554, 9555, 9559, 9562, 9563, 9567, 9569, 9574, 9577, 9578, 9590, 9607, 9609, 9612, 9615, 9618, 9619, 9620, 9621, 9622, 9623, 9631, 9638, 9641, 9643, 9644, 9647, 9648, 9650, 9651, 9654, 9656, 9658, 9660, 9663, 9672, 9679, 9680, 9682, 9683, 9688, 9700, 9704, 9705, 9706, 9709, 9723, 9726, 9731, 9732, 9734, 9740, 9745, 9750, 9754, 9755, 9762, 9763, 9765, 9767, 9775, 9781, 9798, 9799, 9805, 9806, 9821, 9823, 9834, 9837, 9843, 9845, 9852, 9857, 9866, 9869, 9870, 9887, 9889, 9890, 9892, 9898, 9902, 9909, 9911, 9912, 9914, 9920, 9924, 9929, 9930, 9931, 9935, 9936, 9938, 9954, 9956, 9957, 9959, 9968, 9969, 9971, 9972, 9977, 9978, 9979, 9982, 9987, 9988, 9992, 9993, 10000, 10001, 10003, 10007, 10008, 10011, 10014, 10019, 10020, 10021, 10023, 10031, 10035, 10044, 10048, 10050, 10053, 10054, 10058, 10059, 10060, 10062, 10064, 10071, 10080, 10081, 10084, 10087, 10090, 10093, 10096, 10099, 10101, 10104, 10105, 10113, 10116, 10117, 10118, 10119, 10121, 10123, 10125, 10137, 10143, 10151, 10163, 10165, 10170, 10174, 10176, 10178, 10181, 10190, 10192, 10193, 10194, 10199, 10203, 10209, 10212, 10219, 10222, 10224, 10229, 10232, 10234, 10235, 10240, 10241, 10244, 10248, 10249, 10250, 10252, 10254, 10263, 10265, 10269, 10273, 10275, 10288, 10290, 10299, 10301, 10303, 10304, 10305, 10306, 10313, 10314, 10319, 10322, 10325, 10341, 10345, 10348, 10351, 10352, 10353, 10355, 10367, 10372, 10374, 10380, 10385, 10388, 10394, 10395, 10396, 10399, 10413, 10415, 10417, 10418, 10419, 10422, 10424, 10435, 10436, 10440, 10443, 10449, 10453, 10455, 10456, 10457, 10463, 10466, 10468, 10473, 10479, 10481, 10486, 10487, 10489, 10493, 10494, 10498, 10500, 10503, 10509, 10511, 10512, 10517, 10519, 10522, 10523, 10526, 10533, 10534, 10541, 10545, 10547, 10558, 10563, 10565, 10566, 10568, 10569, 10571, 10572, 10573, 10575, 10577, 10581, 10582, 10586, 10587, 10588, 10593, 10594, 10607, 10608, 10613, 10631, 10641, 10650, 10652, 10653, 10655, 10665, 10666, 10668, 10671, 10673, 10675, 10679, 10683, 10687, 10689, 10698, 10707, 10713, 10717, 10720, 10723, 10724, 10729, 10736, 10738, 10739, 10741, 10745, 10748, 10755, 10761, 10762, 10769, 10776, 10785, 10794, 10802, 10804, 10805, 10812, 10815, 10823, 10827, 10831, 10833, 10851, 10854, 10858, 10860, 10861, 10862, 10867, 10871, 10873, 10879, 10881, 10884, 10888, 10891, 10892, 10899, 10902, 10903, 10906, 10907, 10908, 10911, 10918, 10920, 10929, 10932, 10933, 10938, 10942, 10947, 10953, 10954, 10957, 10959, 10961, 10967, 10973, 10976, 10978, 10980, 10990, 10992, 10998, 11005, 11010, 11011, 11020, 11021, 11025, 11036, 11041, 11042, 11046, 11053, 11055, 11060, 11062, 11074, 11080, 11081, 11082, 11083, 11084, 11097, 11107, 11108, 11118, 11125, 11128, 11130, 11134, 11137, 11138, 11141, 11148, 11150, 11153, 11158, 11160, 11162, 11164, 11165, 11171, 11172, 11176, 11179, 11184, 11186, 11194, 11204, 11206, 11213, 11218, 11219, 11222, 11223, 11225, 11229, 11230, 11236, 11243, 11249, 11254, 11258, 11259, 11260, 11269, 11284, 11289, 11294, 11296, 11301, 11308, 11312, 11313, 11318, 11319, 11324, 11331, 11332, 11339, 11344, 11346, 11352, 11355, 11359, 11365, 11368, 11369, 11370, 11374, 11376, 11381, 11385, 11395, 11397, 11398, 11403, 11418, 11421, 11423, 11426, 11432, 11441, 11444, 11453, 11456, 11460, 11464, 11471, 11472, 11473, 11478, 11482, 11487, 11489, 11490, 11494, 11504, 11505, 11513, 11514, 11517, 11519, 11530, 11536, 11545, 11547, 11551, 11552, 11553, 11556, 11557, 11560, 11562, 11563, 11564, 11569, 11572, 11574, 11575, 11584, 11588, 11593, 11595, 11596, 11597, 11604, 11608, 11618, 11620, 11622, 11624, 11625, 11627, 11634, 11647, 11648, 11650, 11651, 11657, 11661, 11666, 11669, 11673, 11676, 11678, 11684, 11685, 11687, 11690, 11695, 11697, 11699, 11703, 11723, 11732, 11734, 11738, 11742, 11748, 11751, 11753, 11757, 11762, 11764, 11769, 11772, 11773, 11778, 11789, 11790, 11797, 11798, 11799, 11808, 11810, 11811, 11813, 11817, 11823, 11829, 11843, 11844, 11849, 11850, 11851, 11854, 11858, 11866, 11876, 11877, 11883, 11884, 11887, 11893, 11896, 11902, 11903, 11906, 11911, 11914, 11918, 11921, 11924, 11928, 11930, 11934, 11935, 11936, 11940, 11945, 11953, 11957, 11967, 11968, 11969, 11971, 11973, 11977, 11979, 11981, 11989, 11993, 11994, 11996, 11997, 12001, 12003, 12009, 12013, 12016, 12017, 12019, 12027, 12030, 12034, 12037, 12043, 12044, 12046, 12048, 12055, 12059, 12069, 12070, 12076, 12078, 12085, 12087, 12088, 12089, 12093, 12096, 12097, 12100, 12106, 12107, 12109, 12111, 12114, 12115, 12123, 12125, 12129, 12131, 12134, 12137, 12140, 12142, 12143, 12146, 12147, 12153, 12168, 12170, 12172, 12177, 12187, 12191, 12195, 12198, 12201, 12207, 12209, 12210, 12214, 12215, 12216, 12218, 12226, 12228, 12229, 12234, 12235, 12237, 12240, 12247, 12249, 12263, 12265, 12270, 12274, 12277, 12280, 12281, 12284, 12285, 12287, 12288, 12290, 12300, 12303, 12305, 12312, 12318, 12319, 12324, 12328, 12332, 12333, 12336, 12340, 12344, 12353, 12359, 12363, 12365, 12369, 12382, 12383, 12389, 12393, 12396, 12397, 12402, 12403, 12411, 12413, 12414, 12423, 12427, 12428, 12440, 12442, 12446, 12448, 12450, 12451, 12454, 12455, 12456, 12461, 12462, 12463, 12464, 12468, 12479, 12484, 12488, 12491, 12496, 12497, 12499, 12502, 12507, 12510, 12513, 12516, 12517, 12520, 12522, 12523, 12525, 12527, 12533, 12534, 12537, 12547, 12548, 12554, 12556, 12557, 12561, 12563, 12567, 12571, 12572, 12574, 12580, 12581, 12589, 12592, 12594, 12597, 12605, 12612, 12614, 12615, 12616, 12623, 12625, 12627, 12630, 12631, 12634, 12652, 12653, 12657, 12661, 12673, 12683, 12685, 12688, 12689, 12694, 12700, 12701, 12705, 12715, 12724, 12725, 12734, 12737, 12745, 12746, 12748, 12750, 12753, 12755, 12762, 12764, 12767, 12769, 12770, 12774, 12775, 12778, 12783, 12785, 12795, 12797, 12801, 12811, 12813, 12817, 12819, 12823, 12825, 12826, 12834, 12848, 12853, 12854, 12863, 12864, 12867, 12872, 12878, 12879, 12882, 12895, 12904, 12905, 12907, 12910, 12911, 12921, 12922, 12925, 12928, 12932, 12933, 12936, 12937, 12947, 12951, 12953, 12972, 12978, 12983, 12984, 12988, 12992, 12995, 13006, 13008, 13009, 13012, 13015, 13017, 13021, 13023, 13025, 13029, 13041, 13049, 13056, 13066, 13067, 13071, 13075, 13081, 13082, 13086, 13088, 13089, 13091, 13096, 13101, 13104, 13111, 13112, 13118, 13122, 13127, 13128, 13131, 13134, 13136, 13142, 13146, 13150, 13157, 13158, 13162, 13165, 13167, 13169, 13171, 13173, 13178, 13179, 13189, 13192, 13195, 13196, 13197, 13199, 13204, 13205, 13212, 13214, 13219, 13224, 13231, 13235, 13238, 13242, 13244, 13245, 13249, 13254, 13256, 13261, 13264, 13265, 13271, 13277, 13278, 13282, 13285, 13288, 13291, 13298, 13300, 13303, 13312, 13315, 13316, 13317, 13320, 13325, 13327, 13332, 13333, 13335, 13338, 13340, 13342, 13353, 13357, 13363, 13364, 13369, 13372, 13373, 13375, 13376, 13380, 13386, 13387, 13388, 13392, 13400, 13409, 13410, 13412, 13415, 13423, 13425, 13431, 13436, 13447, 13449, 13457, 13459, 13468, 13483, 13489, 13493, 13495, 13496, 13500, 13501, 13506, 13509, 13512, 13518, 13525, 13526, 13527, 13534, 13540, 13543, 13548, 13549, 13552, 13554, 13557, 13560, 13565, 13569, 13570, 13571, 13575, 13580, 13583, 13587, 13590, 13594, 13597, 13606, 13611, 13614, 13616, 13620, 13625, 13626, 13637, 13638, 13642, 13662, 13665, 13666, 13677, 13679, 13683, 13686, 13689, 13698, 13706, 13717, 13718, 13719, 13726, 13727, 13728, 13729, 13735, 13736, 13743, 13758, 13759, 13762, 13763, 13766, 13768, 13769, 13770, 13772, 13773, 13783, 13799, 13800, 13804, 13808, 13816, 13817, 13818, 13832, 13842, 13846, 13848, 13851, 13852, 13853, 13854, 13857, 13858, 13860, 13861, 13863, 13875, 13877, 13880, 13882, 13883, 13885, 13886, 13887, 13892, 13896, 13898, 13903, 13909, 13919, 13920, 13922, 13925, 13927, 13928, 13930, 13931, 13933, 13947, 13956, 13960, 13962, 13973, 13976, 13979, 13982, 13988, 13989, 13992, 13993, 13995, 14008, 14012, 14014, 14016, 14018, 14021, 14023, 14024, 14027, 14028, 14031, 14040, 14042, 14044, 14046, 14051, 14052, 14061, 14063, 14064, 14066, 14070, 14074, 14075, 14076, 14080, 14083, 14086, 14087, 14090, 14091, 14096, 14101, 14103, 14104, 14111, 14114, 14116, 14118, 14121, 14122, 14128, 14130, 14132, 14133, 14139, 14143, 14147, 14159, 14160, 14169, 14182, 14184, 14186, 14191, 14203, 14211, 14212, 14220, 14221, 14225, 14226, 14230, 14238, 14243, 14245, 14246, 14247, 14249, 14263, 14265, 14269, 14273, 14276, 14288, 14298, 14308, 14309, 14320, 14324, 14325, 14326, 14327, 14331, 14332, 14334, 14338, 14341, 14353, 14354, 14356, 14358, 14361, 14369, 14375, 14376, 14379, 14380, 14381, 14382, 14383, 14390, 14391, 14392, 14393, 14402, 14403, 14404, 14411, 14419, 14424, 14427, 14428, 14435, 14442, 14443, 14462, 14465, 14466, 14470, 14479, 14482, 14484, 14485, 14492, 14493, 14494, 14496, 14502, 14503, 14509, 14510, 14514, 14518, 14521, 14526, 14533, 14536, 14539, 14540, 14543, 14548, 14549, 14551, 14554, 14556, 14558, 14562, 14564, 14573, 14582, 14586, 14590, 14591, 14595, 14596, 14598, 14599, 14604, 14610, 14612, 14614, 14615, 14628, 14630, 14631, 14634, 14636, 14638, 14647, 14649, 14651, 14656, 14664, 14671, 14672, 14677, 14678, 14679, 14680, 14691, 14692, 14696, 14698, 14701, 14702, 14704, 14719, 14721, 14725, 14729, 14731, 14736, 14738, 14740, 14741, 14742, 14744, 14746, 14749, 14750, 14751, 14753, 14756, 14757, 14761, 14770, 14774, 14775, 14777, 14789, 14807, 14816, 14817, 14820, 14821, 14829, 14832, 14834, 14836, 14838, 14839, 14844, 14854, 14858, 14859, 14863, 14867, 14870, 14871, 14874, 14880, 14883, 14886, 14893, 14898, 14903, 14908, 14915, 14916, 14918, 14930, 14933, 14939, 14941, 14950, 14961, 14963, 14965, 14973, 14982, 14984, 14989, 14994, 15001, 15010, 15013, 15015, 15019, 15020, 15023, 15032, 15033, 15040, 15044, 15046, 15047, 15050, 15051, 15058, 15063, 15064, 15066, 15069, 15072, 15084, 15087, 15089, 15095, 15104, 15105, 15107, 15108, 15112, 15114, 15115, 15116, 15117, 15119, 15127, 15129, 15133, 15134, 15135, 15137, 15143, 15144, 15147, 15148, 15155, 15163, 15166, 15167, 15168, 15169, 15174, 15175, 15176, 15178, 15194, 15197, 15199, 15200, 15201, 15203, 15204, 15208, 15211, 15218, 15224, 15227, 15228, 15230, 15236, 15237, 15248, 15261, 15262, 15264, 15265, 15269, 15274, 15275, 15277, 15288, 15289, 15290, 15291, 15293, 15295, 15298, 15300, 15308, 15309, 15316, 15320, 15321, 15322, 15325, 15326, 15330, 15333, 15334, 15352, 15359, 15363, 15365, 15371, 15373, 15377, 15383, 15385, 15387, 15388, 15389, 15396, 15398, 15401, 15403, 15404, 15405, 15415, 15423, 15426, 15428, 15429, 15433, 15441, 15442, 15447, 15448, 15450, 15451, 15456, 15458, 15459, 15461, 15472, 15475, 15478, 15480, 15481, 15482, 15484, 15493, 15496, 15501, 15502, 15508, 15510, 15515, 15526, 15531, 15539, 15545, 15548, 15551, 15552, 15553, 15559, 15562, 15564, 15567, 15577, 15588, 15589, 15590, 15595, 15598, 15600, 15602, 15605, 15610, 15613, 15616, 15617, 15619, 15621, 15623, 15630, 15633, 15636, 15638, 15642, 15646, 15647, 15652, 15654, 15655, 15660, 15662, 15667, 15672, 15673, 15680, 15683, 15684, 15686, 15693, 15699, 15700, 15703, 15723, 15731, 15732, 15735, 15743, 15744, 15755, 15756, 15762, 15763, 15764, 15765, 15767, 15768, 15771, 15774, 15776, 15781, 15787, 15790, 15794, 15796, 15802, 15806, 15814, 15820, 15828, 15837, 15842, 15843, 15848, 15849, 15853, 15855, 15856, 15857, 15860, 15862, 15863, 15867, 15869, 15874, 15879, 15881, 15885, 15886, 15889, 15890, 15894, 15895, 15898, 15899, 15910, 15916, 15920, 15923, 15930, 15932, 15937, 15938, 15942, 15943, 15945, 15950, 15952, 15960, 15972, 15976, 15977, 15979, 15982, 15989, 15993, 16010, 16018, 16023, 16025, 16026, 16033, 16034, 16036, 16039, 16042, 16043, 16044, 16048, 16050, 16056, 16057, 16058, 16062, 16064, 16065, 16066, 16067, 16070, 16071, 16076, 16082, 16084, 16085, 16087, 16088, 16091, 16094, 16102, 16108, 16111, 16119, 16120, 16124, 16128, 16139, 16142, 16150, 16151, 16157, 16162, 16169, 16171, 16176, 16179, 16186, 16187, 16193, 16195, 16196, 16199, 16202, 16204, 16207, 16209, 16216, 16220, 16223, 16225, 16229, 16236, 16238, 16241, 16255, 16257, 16259, 16261, 16263, 16265, 16268, 16272, 16273, 16276, 16287, 16289, 16292, 16293, 16296, 16298, 16304, 16305, 16308, 16314, 16316, 16318, 16322, 16324, 16328, 16330, 16331, 16332, 16334, 16338, 16339, 16340, 16341, 16344, 16345, 16346, 16347, 16357, 16361, 16365, 16366, 16371, 16372, 16373, 16376, 16380, 16389, 16399, 16400, 16404, 16410, 16420, 16424, 16430, 16432, 16437, 16442, 16447, 16449, 16451, 16456, 16465, 16467, 16468, 16469, 16474, 16477, 16479, 16485, 16487, 16489, 16490, 16495, 16496, 16500, 16506, 16508, 16511, 16515, 16528, 16531, 16533, 16535, 16537, 16538, 16547, 16548, 16552, 16555, 16557, 16570, 16577, 16578, 16587, 16590, 16591, 16598, 16599, 16603, 16604, 16607, 16612, 16615, 16617, 16620, 16625, 16626, 16634, 16639, 16642, 16644, 16645, 16646, 16648, 16650, 16653, 16655, 16659, 16660, 16664, 16666, 16667, 16668, 16669, 16675, 16678, 16679, 16682, 16683, 16689, 16700, 16706, 16709, 16715, 16720, 16726, 16732, 16734, 16738, 16741, 16746, 16752]
Gap-uri:
[5, 3, 4, 8, 18, 8, 2, 13, 2, 13, 2, 1, 6, 8, 8, 9, 5, 1, 5, 9, 10, 7, 3, 2, 9, 4, 4, 8, 2, 3, 6, 1, 1, 7, 10, 3, 1, 9, 5, 1, 4, 3, 7, 1, 4, 6, 5, 2, 3, 7, 2, 7, 17, 9, 9, 6, 2, 3, 7, 4, 2, 1, 2, 4, 5, 7, 7, 1, 1, 1, 1, 3, 3, 1, 6, 1, 6, 8, 15, 1, 11, 3, 1, 3, 9, 3, 4, 4, 2, 5, 3, 5, 3, 4, 2, 2, 5, 1, 1, 2, 4, 3, 21, 5, 3, 1, 1, 3, 1, 7, 7, 5, 2, 7, 6, 3, 3, 7, 1, 9, 4, 1, 5, 3, 10, 3, 1, 13, 8, 7, 6, 6, 8, 5, 5, 1, 1, 3, 6, 23, 13, 1, 11, 2, 2, 1, 15, 1, 4, 3, 10, 1, 2, 3, 6, 3, 3, 4, 2, 5, 1, 2, 3, 2, 2, 6, 1, 3, 5, 1, 2, 1, 2, 3, 2, 1, 4, 3, 1, 2, 1, 11, 5, 2, 6, 6, 6, 3, 2, 3, 10, 2, 1, 6, 1, 1, 10, 2, 1, 8, 1, 3, 4, 3, 4, 7, 2, 7, 1, 9, 1, 6, 2, 2, 2, 3, 11, 6, 4, 3, 7, 16, 1, 5, 9, 5, 3, 2, 1, 5, 4, 2, 16, 3, 6, 2, 8, 5, 12, 2, 14, 1, 2, 1, 7, 4, 3, 2, 3, 1, 3, 1, 11, 1, 4, 4, 2, 4, 3, 5, 11, 3, 10, 3, 5, 1, 1, 8, 1, 1, 2, 10, 7, 28, 8, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 6, 16, 7, 1, 3, 1, 3, 1, 3, 1, 7, 2, 3, 4, 9, 2, 8, 3, 3, 3, 1, 3, 1, 4, 3, 3, 5, 2, 6, 6, 15, 25, 9, 5, 2, 2, 1, 9, 3, 3, 9, 1, 3, 2, 2, 2, 1, 10, 1, 5, 1, 3, 3, 1, 7, 2, 3, 3, 3, 1, 6, 2, 11, 6, 1, 6, 4, 6, 3, 5, 17, 6, 1, 5, 2, 5, 1, 4, 6, 5, 7, 2, 5, 7, 2, 6, 1, 6, 4, 10, 3, 20, 7, 1, 4, 1, 2, 7, 14, 2, 1, 1, 7, 10, 1, 2, 1, 6, 2, 7, 1, 3, 6, 1, 7, 2, 13, 6, 8, 7, 6, 1, 6, 1, 1, 1, 2, 6, 1, 11, 1, 1, 1, 2, 2, 2, 12, 7, 2, 6, 2, 1, 7, 18, 2, 9, 6, 9, 8, 2, 1, 1, 5, 8, 1, 4, 2, 1, 1, 3, 1, 2, 1, 9, 14, 11, 7, 4, 2, 1, 14, 6, 7, 2, 1, 1, 2, 4, 4, 2, 6, 2, 2, 1, 1, 1, 1, 3, 2, 1, 3, 5, 3, 4, 2, 4, 9, 4, 3, 6, 3, 5, 1, 4, 6, 2, 8, 1, 1, 2, 5, 2, 1, 3, 1, 12, 3, 2, 2, 2, 2, 6, 6, 5, 1, 7, 7, 11, 3, 3, 3, 5, 3, 2, 1, 1, 4, 5, 1, 7, 3, 2, 1, 1, 3, 2, 3, 13, 1, 2, 5, 4, 5, 5, 3, 3, 1, 9, 2, 1, 1, 2, 4, 3, 1, 2, 1, 4, 2, 2, 1, 13, 6, 12, 10, 1, 15, 3, 16, 1, 5, 7, 2, 1, 8, 2, 8, 3, 1, 9, 8, 3, 2, 2, 9, 4, 11, 2, 1, 15, 2, 1, 2, 5, 1, 6, 4, 2, 3, 8, 6, 3, 1, 8, 6, 5, 3, 1, 1, 5, 1, 2, 1, 4, 3, 2, 1, 2, 1, 3, 1, 2, 15, 3, 5, 10, 3, 15, 1, 1, 2, 10, 1, 2, 3, 15, 6, 9, 1, 1, 2, 2, 5, 4, 8, 5, 1, 3, 7, 9, 5, 7, 4, 8, 4, 12, 5, 2, 4, 1, 2, 1, 5, 4, 1, 1, 2, 2, 2, 1, 1, 4, 1, 1, 2, 8, 1, 1, 1, 4, 2, 1, 2, 4, 3, 1, 4, 2, 11, 2, 3, 8, 5, 11, 5, 1, 1, 5, 4, 5, 9, 2, 15, 4, 2, 3, 4, 1, 2, 3, 7, 4, 2, 3, 6, 6, 2, 5, 1, 5, 3, 2, 1, 4, 8, 1, 3, 3, 1, 9, 5, 9, 1, 3, 1, 4, 1, 1, 8, 2, 5, 2, 3, 1, 4, 11, 1, 3, 2, 1, 4, 8, 1, 3, 3, 1, 3, 4, 5, 2, 1, 3, 9, 5, 1, 1, 4, 1, 1, 6, 3, 3, 1, 2, 9, 1, 2, 2, 2, 1, 1, 10, 3, 1, 6, 9, 3, 6, 2, 4, 1, 9, 5, 8, 1, 3, 6, 3, 1, 1, 12, 1, 8, 2, 8, 5, 1, 5, 3, 8, 2, 5, 5, 12, 6, 2, 1, 4, 2, 8, 2, 6, 2, 13, 3, 2, 4, 3, 5, 1, 10, 10, 5, 1, 4, 6, 1, 2, 3, 4, 2, 5, 1, 8, 4, 2, 9, 2, 5, 1, 3, 12, 3, 5, 1, 8, 8, 4, 18, 4, 4, 6, 2, 10, 1, 1, 7, 2, 1, 2, 5, 2, 3, 1, 1, 4, 2, 1, 3, 4, 1, 3, 2, 1, 4, 3, 1, 4, 2, 7, 17, 3, 8, 4, 4, 5, 1, 3, 1, 2, 2, 1, 2, 5, 2, 10, 1, 3, 7, 3, 4, 1, 8, 1, 1, 1, 10, 2, 4, 1, 1, 1, 5, 4, 5, 5, 13, 1, 1, 1, 2, 3, 3, 9, 6, 3, 1, 4, 1, 2, 3, 1, 7, 9, 6, 13, 2, 6, 3, 1, 5, 2, 5, 1, 1, 4, 2, 9, 4, 1, 3, 1, 2, 1, 3, 1, 2, 1, 1, 6, 1, 2, 22, 2, 2, 4, 6, 2, 1, 5, 9, 5, 6, 5, 2, 1, 1, 3, 5, 6, 4, 5, 3, 1, 6, 5, 1, 2, 1, 1, 2, 2, 1, 6, 2, 7, 13, 2, 2, 6, 5, 3, 4, 1, 3, 9, 3, 3, 1, 8, 1, 6, 1, 3, 5, 5, 9, 4, 4, 1, 9, 4, 3, 5, 4, 2, 6, 3, 3, 2, 1, 2, 7, 2, 3, 3, 3, 5, 8, 2, 3, 2, 1, 3, 3, 1, 2, 5, 3, 3, 2, 2, 2, 9, 5, 5, 1, 1, 2, 2, 1, 1, 2, 14, 7, 3, 1, 1, 4, 3, 1, 1, 2, 2, 1, 2, 9, 3, 1, 1, 3, 3, 4, 2, 2, 10, 3, 6, 2, 1, 1, 2, 4, 7, 1, 1, 3, 4, 2, 7, 9, 1, 1, 1, 6, 3, 1, 3, 4, 1, 4, 8, 9, 4, 12, 10, 5, 6, 1, 5, 1, 9, 1, 2, 4, 1, 3, 1, 7, 1, 1, 3, 6, 1, 2, 1, 3, 17, 2, 3, 4, 7, 2, 4, 4, 7, 6, 4, 4, 3, 6, 1, 1, 2, 5, 1, 3, 6, 1, 3, 1, 2, 5, 2, 2, 3, 1, 7, 4, 2, 1, 9, 1, 1, 12, 3, 15, 2, 5, 6, 8, 5, 11, 1, 5, 1, 1, 4, 1, 1, 1, 6, 17, 4, 8, 2, 4, 11, 2, 7, 2, 3, 5, 7, 5, 2, 3, 4, 10, 1, 1, 2, 3, 2, 8, 3, 1, 5, 5, 2, 3, 3, 1, 12, 5, 1, 9, 5, 1, 4, 3, 6, 2, 2, 1, 5, 3, 3, 1, 4, 4, 6, 2, 2, 3, 6, 1, 6, 1, 3, 6, 1, 8, 4, 3, 2, 3, 2, 3, 13, 1, 1, 3, 9, 3, 1, 6, 5, 2, 4, 2, 1, 1, 1, 2, 15, 1, 1, 1, 1, 3, 1, 3, 2, 1, 1, 2, 3, 1, 1, 1, 3, 1, 8, 14, 2, 10, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 4, 2, 5, 1, 4, 2, 9, 1, 1, 1, 7, 8, 8, 1, 3, 5, 17, 15, 5, 1, 1, 3, 2, 6, 7, 2, 1, 5, 1, 2, 4, 5, 8, 10, 5, 2, 2, 3, 4, 1, 3, 4, 3, 4, 3, 10, 2, 4, 13, 3, 6, 1, 2, 3, 3, 3, 1, 3, 2, 6, 5, 7, 4, 2, 4, 2, 3, 2, 1, 3, 3, 3, 6, 1, 3, 2, 1, 4, 2, 3, 3, 2, 3, 3, 2, 2, 2, 1, 2, 5, 5, 11, 3, 4, 10, 6, 12, 5, 2, 4, 1, 1, 2, 5, 1, 8, 4, 2, 2, 7, 1, 2, 7, 4, 3, 7, 7, 2, 9, 1, 4, 3, 3, 7, 2, 2, 2, 1, 1, 1, 2, 3, 9, 1, 3, 2, 2, 5, 4, 11, 2, 2, 2, 4, 3, 1, 2, 13, 5, 1, 2, 4, 1, 3, 2, 10, 1, 2, 4, 8, 3, 1, 3, 5, 3, 6, 2, 3, 7, 1, 4, 3, 1, 8, 5, 6, 15, 1, 5, 1, 1, 10, 6, 1, 2, 14, 1, 6, 2, 2, 1, 2, 8, 1, 4, 10, 1, 4, 5, 1, 4, 1, 6, 2, 8, 2, 6, 13, 1, 5, 3, 7, 2, 2, 3, 1, 2, 8, 2, 2, 18, 2, 1, 2, 4, 4, 2, 5, 6, 3, 2, 1, 5, 4, 7, 2, 1, 1, 8, 3, 1, 11, 2, 6, 3, 1, 1, 3, 10, 1, 1, 3, 4, 2, 1, 3, 3, 4, 10, 3, 4, 2, 5, 6, 1, 4, 9, 11, 5, 4, 8, 2, 4, 7, 1, 3, 2, 1, 1, 9, 5, 3, 20, 1, 25, 1, 1, 3, 1, 4, 3, 1, 3, 4, 2, 5, 2, 2, 3, 5, 4, 5, 1, 5, 2, 4, 2, 1, 2, 5, 6, 2, 4, 2, 4, 8, 5, 5, 3, 3, 1, 5, 5, 3, 2, 3, 14, 3, 6, 3, 2, 10, 1, 5, 3, 4, 4, 7, 2, 1, 1, 4, 1, 3, 1, 4, 2, 7, 2, 2, 9, 9, 3, 2, 3, 5, 4, 7, 1, 2, 2, 2, 4, 1, 2, 1, 3, 3, 6, 6, 3, 16, 9, 2, 3, 1, 2, 1, 5, 1, 15, 1, 1, 8, 3, 4, 2, 9, 3, 1, 2, 5, 3, 2, 7, 2, 1, 4, 3, 3, 4, 3, 7, 11, 2, 10, 6, 7, 8, 1, 5, 7, 1, 1, 1, 2, 1, 6, 2, 4, 11, 1, 5, 10, 8, 7, 1, 3, 2, 4, 16, 1, 4, 2, 1, 3, 5, 3, 5, 2, 7, 1, 1, 4, 12, 6, 2, 1, 2, 2, 1, 1, 3, 1, 4, 11, 1, 2, 12, 2, 3, 4, 3, 1, 1, 5, 8, 2, 8, 14, 5, 3, 7, 2, 5, 8, 1, 3, 7, 5, 1, 4, 5, 2, 2, 3, 14, 1, 8, 5, 1, 1, 6, 6, 10, 4, 1, 2, 3, 1, 1, 2, 5, 9, 5, 2, 2, 4, 5, 6, 6, 1, 9, 1, 1, 4, 5, 8, 3, 1, 2, 6, 1, 1, 2, 3, 3, 5, 4, 3, 1, 11, 1, 3, 4, 1, 4, 6, 2, 16, 3, 2, 7, 3, 1, 10, 5, 9, 3, 3, 1, 8, 3, 4, 3, 2, 5, 3, 7, 1, 5, 2, 10, 2, 7, 3, 5, 3, 6, 5, 1, 1, 4, 2, 5, 3, 1, 7, 6, 4, 2, 8, 3, 5, 6, 5, 3, 1, 3, 2, 1, 2, 10, 1, 5, 4, 9, 3, 2, 3, 1, 7, 1, 21, 1, 3, 5, 1, 2, 3, 3, 2, 1, 1, 3, 8, 5, 3, 2, 14, 1, 2, 7, 8, 6, 3, 1, 1, 10, 4, 1, 4, 1, 5, 5, 1, 5, 5, 5, 7, 1, 4, 1, 7, 9, 1, 5, 1, 2, 2, 1, 1, 4, 3, 1, 2, 1, 3, 1, 2, 5, 1, 9, 4, 7, 4, 4, 4, 4, 2, 3, 7, 3, 4, 1, 6, 1, 14, 6, 6, 4, 1, 12, 6, 4, 1, 2, 17, 7, 3, 9, 1, 2, 1, 6, 8, 2, 1, 1, 5, 9, 3, 2, 3, 1, 2, 1, 1, 3, 2, 2, 4, 1, 6, 1, 1, 1, 8, 2, 3, 3, 1, 2, 2, 3, 3, 2, 3, 9, 2, 2, 2, 5, 2, 1, 1, 1, 1, 1, 8, 2, 10, 1, 11, 6, 3, 1, 1, 5, 1, 2, 3, 3, 1, 1, 5, 1, 5, 6, 5, 1, 1, 8, 4, 3, 1, 19, 2, 3, 10, 4, 5, 8, 4, 2, 1, 5, 4, 3, 5, 1, 1, 9, 11, 1, 1, 5, 2, 1, 7, 5, 8, 2, 6, 2, 4, 6, 1, 1, 1, 1, 3, 5, 8, 6, 4, 4, 3, 1, 5, 1, 4, 2, 2, 5, 8, 6, 1, 1, 5, 4, 9, 1, 6, 3, 14, 2, 6, 3, 3, 2, 2, 6, 5, 9, 1, 1, 2, 1, 17, 5, 1, 2, 3, 7, 4, 3, 2, 12, 1, 1, 3, 7, 4, 1, 7, 1, 13, 11, 4, 4, 2, 2, 1, 2, 9, 1, 3, 2, 13, 4, 4, 3, 1, 1, 2, 4, 3, 5, 1, 11, 4, 7, 4, 1, 4, 10, 4, 6, 9, 3, 4, 1, 5, 3, 1, 4, 18, 7, 2, 1, 3, 6, 4, 6, 20, 7, 9, 6, 5, 7, 7, 4, 6, 7, 1, 1, 1, 10, 4, 8, 1, 1, 2, 13, 3, 2, 3, 1, 5, 18, 3, 1, 4, 1, 1, 4, 1, 6, 5, 3, 7, 2, 15, 1, 6, 1, 1, 4, 2, 2, 1, 14, 1, 5, 4, 3, 7, 1, 6, 5, 3, 5, 2, 5, 2, 1, 4, 4, 19, 1, 3, 22, 9, 4, 9, 3, 4, 1, 5, 1, 3, 5, 5, 1, 10, 8, 4, 4, 1, 4, 7, 17, 3, 9, 8, 5, 1, 16, 4, 2, 7, 11, 4, 5, 2, 1, 1, 1, 4, 7, 4, 2, 9, 1, 4, 3, 1, 4, 2, 5, 3, 1, 12, 17, 2, 3, 3, 3, 1, 1, 1, 1, 1, 8, 7, 3, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 3, 9, 7, 1, 2, 1, 5, 12, 4, 1, 1, 3, 14, 3, 5, 1, 2, 6, 5, 5, 4, 1, 7, 1, 2, 2, 8, 6, 17, 1, 6, 1, 15, 2, 11, 3, 6, 2, 7, 5, 9, 3, 1, 17, 2, 1, 2, 6, 4, 7, 2, 1, 2, 6, 4, 5, 1, 1, 4, 1, 2, 16, 2, 1, 2, 9, 1, 2, 1, 5, 1, 1, 3, 5, 1, 4, 1, 7, 1, 2, 4, 1, 3, 3, 5, 1, 1, 2, 8, 4, 9, 4, 2, 3, 1, 4, 1, 1, 2, 2, 7, 9, 1, 3, 3, 3, 3, 3, 3, 2, 3, 1, 8, 3, 1, 1, 1, 2, 2, 2, 12, 6, 8, 12, 2, 5, 4, 2, 2, 3, 9, 2, 1, 1, 5, 4, 6, 3, 7, 3, 2, 5, 3, 2, 1, 5, 1, 3, 4, 1, 1, 2, 2, 9, 2, 4, 4, 2, 13, 2, 9, 2, 2, 1, 1, 1, 7, 1, 5, 3, 3, 16, 4, 3, 3, 1, 1, 2, 12, 5, 2, 6, 5, 3, 6, 1, 1, 3, 14, 2, 2, 1, 1, 3, 2, 11, 1, 4, 3, 6, 4, 2, 1, 1, 6, 3, 2, 5, 6, 2, 5, 1, 2, 4, 1, 4, 2, 3, 6, 2, 1, 5, 2, 3, 1, 3, 7, 1, 7, 4, 2, 11, 5, 2, 1, 2, 1, 2, 1, 1, 2, 2, 4, 1, 4, 1, 1, 5, 1, 13, 1, 5, 18, 10, 9, 2, 1, 2, 10, 1, 2, 3, 2, 2, 4, 4, 4, 2, 9, 9, 6, 4, 3, 3, 1, 5, 7, 2, 1, 2, 4, 3, 7, 6, 1, 7, 7, 9, 9, 8, 2, 1, 7, 3, 8, 4, 4, 2, 18, 3, 4, 2, 1, 1, 5, 4, 2, 6, 2, 3, 4, 3, 1, 7, 3, 1, 3, 1, 1, 3, 7, 2, 9, 3, 1, 5, 4, 5, 6, 1, 3, 2, 2, 6, 6, 3, 2, 2, 10, 2, 6, 7, 5, 1, 9, 1, 4, 11, 5, 1, 4, 7, 2, 5, 2, 12, 6, 1, 1, 1, 1, 13, 10, 1, 10, 7, 3, 2, 4, 3, 1, 3, 7, 2, 3, 5, 2, 2, 2, 1, 6, 1, 4, 3, 5, 2, 8, 10, 2, 7, 5, 1, 3, 1, 2, 4, 1, 6, 7, 6, 5, 4, 1, 1, 9, 15, 5, 5, 2, 5, 7, 4, 1, 5, 1, 5, 7, 1, 7, 5, 2, 6, 3, 4, 6, 3, 1, 1, 4, 2, 5, 4, 10, 2, 1, 5, 15, 3, 2, 3, 6, 9, 3, 9, 3, 4, 4, 7, 1, 1, 5, 4, 5, 2, 1, 4, 10, 1, 8, 1, 3, 2, 11, 6, 9, 2, 4, 1, 1, 3, 1, 3, 2, 1, 1, 5, 3, 2, 1, 9, 4, 5, 2, 1, 1, 7, 4, 10, 2, 2, 2, 1, 2, 7, 13, 1, 2, 1, 6, 4, 5, 3, 4, 3, 2, 6, 1, 2, 3, 5, 2, 2, 4, 20, 9, 2, 4, 4, 6, 3, 2, 4, 5, 2, 5, 3, 1, 5, 11, 1, 7, 1, 1, 9, 2, 1, 2, 4, 6, 6, 14, 1, 5, 1, 1, 3, 4, 8, 10, 1, 6, 1, 3, 6, 3, 6, 1, 3, 5, 3, 4, 3, 3, 4, 2, 4, 1, 1, 4, 5, 8, 4, 10, 1, 1, 2, 2, 4, 2, 2, 8, 4, 1, 2, 1, 4, 2, 6, 4, 3, 1, 2, 8, 3, 4, 3, 6, 1, 2, 2, 7, 4, 10, 1, 6, 2, 7, 2, 1, 1, 4, 3, 1, 3, 6, 1, 2, 2, 3, 1, 8, 2, 4, 2, 3, 3, 3, 2, 1, 3, 1, 6, 15, 2, 2, 5, 10, 4, 4, 3, 3, 6, 2, 1, 4, 1, 1, 2, 8, 2, 1, 5, 1, 2, 3, 7, 2, 14, 2, 5, 4, 3, 3, 1, 3, 1, 2, 1, 2, 10, 3, 2, 7, 6, 1, 5, 4, 4, 1, 3, 4, 4, 9, 6, 4, 2, 4, 13, 1, 6, 4, 3, 1, 5, 1, 8, 2, 1, 9, 4, 1, 12, 2, 4, 2, 2, 1, 3, 1, 1, 5, 1, 1, 1, 4, 11, 5, 4, 3, 5, 1, 2, 3, 5, 3, 3, 3, 1, 3, 2, 1, 2, 2, 6, 1, 3, 10, 1, 6, 2, 1, 4, 2, 4, 4, 1, 2, 6, 1, 8, 3, 2, 3, 8, 7, 2, 1, 1, 7, 2, 2, 3, 1, 3, 18, 1, 4, 4, 12, 10, 2, 3, 1, 5, 6, 1, 4, 10, 9, 1, 9, 3, 8, 1, 2, 2, 3, 2, 7, 2, 3, 2, 1, 4, 1, 3, 5, 2, 10, 2, 4, 10, 2, 4, 2, 4, 2, 1, 8, 14, 5, 1, 9, 1, 3, 5, 6, 1, 3, 13, 9, 1, 2, 3, 1, 10, 1, 3, 3, 4, 1, 3, 1, 10, 4, 2, 19, 6, 5, 1, 4, 4, 3, 11, 2, 1, 3, 3, 2, 4, 2, 2, 4, 12, 8, 7, 10, 1, 4, 4, 6, 1, 4, 2, 1, 2, 5, 5, 3, 7, 1, 6, 4, 5, 1, 3, 3, 2, 6, 4, 4, 7, 1, 4, 3, 2, 2, 2, 2, 5, 1, 10, 3, 3, 1, 1, 2, 5, 1, 7, 2, 5, 5, 7, 4, 3, 4, 2, 1, 4, 5, 2, 5, 3, 1, 6, 6, 1, 4, 3, 3, 3, 7, 2, 3, 9, 3, 1, 1, 3, 5, 2, 5, 1, 2, 3, 2, 2, 11, 4, 6, 1, 5, 3, 1, 2, 1, 4, 6, 1, 1, 4, 8, 9, 1, 2, 3, 8, 2, 6, 5, 11, 2, 8, 2, 9, 15, 6, 4, 2, 1, 4, 1, 5, 3, 3, 6, 7, 1, 1, 7, 6, 3, 5, 1, 3, 2, 3, 3, 5, 4, 1, 1, 4, 5, 3, 4, 3, 4, 3, 9, 5, 3, 2, 4, 5, 1, 11, 1, 4, 20, 3, 1, 11, 2, 4, 3, 3, 9, 8, 11, 1, 1, 7, 1, 1, 1, 6, 1, 7, 15, 1, 3, 1, 3, 2, 1, 1, 2, 1, 10, 16, 1, 4, 4, 8, 1, 1, 14, 10, 4, 2, 3, 1, 1, 1, 3, 1, 2, 1, 2, 12, 2, 3, 2, 1, 2, 1, 1, 5, 4, 2, 5, 6, 10, 1, 2, 3, 2, 1, 2, 1, 2, 14, 9, 4, 2, 11, 3, 3, 3, 6, 1, 3, 1, 2, 13, 4, 2, 2, 2, 3, 2, 1, 3, 1, 3, 9, 2, 2, 2, 5, 1, 9, 2, 1, 2, 4, 4, 1, 1, 4, 3, 3, 1, 3, 1, 5, 5, 2, 1, 7, 3, 2, 2, 3, 1, 6, 2, 2, 1, 6, 4, 4, 12, 1, 9, 13, 2, 2, 5, 12, 8, 1, 8, 1, 4, 1, 4, 8, 5, 2, 1, 1, 2, 14, 2, 4, 4, 3, 12, 10, 10, 1, 11, 4, 1, 1, 1, 4, 1, 2, 4, 3, 12, 1, 2, 2, 3, 8, 6, 1, 3, 1, 1, 1, 1, 7, 1, 1, 1, 9, 1, 1, 7, 8, 5, 3, 1, 7, 7, 1, 19, 3, 1, 4, 9, 3, 2, 1, 7, 1, 1, 2, 6, 1, 6, 1, 4, 4, 3, 5, 7, 3, 3, 1, 3, 5, 1, 2, 3, 2, 2, 4, 2, 9, 9, 4, 4, 1, 4, 1, 2, 1, 5, 6, 2, 2, 1, 13, 2, 1, 3, 2, 2, 9, 2, 2, 5, 8, 7, 1, 5, 1, 1, 1, 11, 1, 4, 2, 3, 1, 2, 15, 2, 4, 4, 2, 5, 2, 2, 1, 1, 2, 2, 3, 1, 1, 2, 3, 1, 4, 9, 4, 1, 2, 12, 18, 9, 1, 3, 1, 8, 3, 2, 2, 2, 1, 5, 10, 4, 1, 4, 4, 3, 1, 3, 6, 3, 3, 7, 5, 5, 5, 7, 1, 2, 12, 3, 6, 2, 9, 11, 2, 2, 8, 9, 2, 5, 5, 7, 9, 3, 2, 4, 1, 3, 9, 1, 7, 4, 2, 1, 3, 1, 7, 5, 1, 2, 3, 3, 12, 3, 2, 6, 9, 1, 2, 1, 4, 2, 1, 1, 1, 2, 8, 2, 4, 1, 1, 2, 6, 1, 3, 1, 7, 8, 3, 1, 1, 1, 5, 1, 1, 2, 16, 3, 2, 1, 1, 2, 1, 4, 3, 7, 6, 3, 1, 2, 6, 1, 11, 13, 1, 2, 1, 4, 5, 1, 2, 11, 1, 1, 1, 2, 2, 3, 2, 8, 1, 7, 4, 1, 1, 3, 1, 4, 3, 1, 18, 7, 4, 2, 6, 2, 4, 6, 2, 2, 1, 1, 7, 2, 3, 2, 1, 1, 10, 8, 3, 2, 1, 4, 8, 1, 5, 1, 2, 1, 5, 2, 1, 2, 11, 3, 3, 2, 1, 1, 2, 9, 3, 5, 1, 6, 2, 5, 11, 5, 8, 6, 3, 3, 1, 1, 6, 3, 2, 3, 10, 11, 1, 1, 5, 3, 2, 2, 3, 5, 3, 3, 1, 2, 2, 2, 7, 3, 3, 2, 4, 4, 1, 5, 2, 1, 5, 2, 5, 5, 1, 7, 3, 1, 2, 7, 6, 1, 3, 20, 8, 1, 3, 8, 1, 11, 1, 6, 1, 1, 1, 2, 1, 3, 3, 2, 5, 6, 3, 4, 2, 6, 4, 8, 6, 8, 9, 5, 1, 5, 1, 4, 2, 1, 1, 3, 2, 1, 4, 2, 5, 5, 2, 4, 1, 3, 1, 4, 1, 3, 1, 11, 6, 4, 3, 7, 2, 5, 1, 4, 1, 2, 5, 2, 8, 12, 4, 1, 2, 3, 7, 4, 17, 8, 5, 2, 1, 7, 1, 2, 3, 3, 1, 1, 4, 2, 6, 1, 1, 4, 2, 1, 1, 1, 3, 1, 5, 6, 2, 1, 2, 1, 3, 3, 8, 6, 3, 8, 1, 4, 4, 11, 3, 8, 1, 6, 5, 7, 2, 5, 3, 7, 1, 6, 2, 1, 3, 3, 2, 3, 2, 7, 4, 3, 2, 4, 7, 2, 3, 14, 2, 2, 2, 2, 2, 3, 4, 1, 3, 11, 2, 3, 1, 3, 2, 6, 1, 3, 6, 2, 2, 4, 2, 4, 2, 1, 1, 2, 4, 1, 1, 1, 3, 1, 1, 1, 10, 4, 4, 1, 5, 1, 1, 3, 4, 9, 10, 1, 4, 6, 10, 4, 6, 2, 5, 5, 5, 2, 2, 5, 9, 2, 1, 1, 5, 3, 2, 6, 2, 2, 1, 5, 1, 4, 6, 2, 3, 4, 13, 3, 2, 2, 2, 1, 9, 1, 4, 3, 2, 13, 7, 1, 9, 3, 1, 7, 1, 4, 1, 3, 5, 3, 2, 3, 5, 1, 8, 5, 3, 2, 1, 1, 2, 2, 3, 2, 4, 1, 4, 2, 1, 1, 1, 6, 3, 1, 3, 1, 6, 11, 6, 3, 6, 5, 6, 6, 2, 4, 3, 5, 6]