LotoPolo Stats — Pattern Analysis

Source: datasn · 16,751 draws (max inner_id=16754) · Last: 2026-04-30 23:00:00 · Reference: 16754 (procesate) · 🎯 Live Prospective Validation →
⚠️ Niciun model nu bate statistic random pe acest dataset
Walk-forward validation pe 1000 extrageri + paired bootstrap (n=2000) confirmă că nicio strategie (HOT, DOW Aware, Anti-Corr, Smart, Mean Rev) NU are advantaj robust peste hazard — toate p-values > 0.14, CI 95% conține zero. Diferențele observate (+0.1 — +0.3 pp) sunt în limita de fluctuație random.

Ce înseamnă pentru tine: Folosește acest sistem ca instrument descriptiv (vezi cele mai frecvente, overdue, bursty, pattern-uri DOW), NU ca instrument de predicție garantată. Loto polonez Multi este matematic indistingabil de un proces aleator când evaluăm capacitatea de a prezice top-30 combinații.

Ce e adevărat: Anti-corelațiile la nivel de pereche (ex: {1,9} cu chi²=30) există ca fenomen statistic, dar nu se traduc în advantaj predictiv exploatabil la nivel de selecție top-N.
🧪 Detalii rezultate riguros statistice (walk-forward + paired bootstrap) (click pentru tabel complet)
Test SYSTEM 2 (perechi) — walk-forward pe 1000 extrageri, baseline random=5.92%:
Strategie Δ vs rand CI 95% (pp) p-boot Robust?
dow_aware+0.31 pp[-0.12, +0.72]0.144✗ nu robust
hot+0.25 pp[-0.13, +0.62]0.239✗ nu robust
smart+0.16 pp[-0.19, +0.53]0.376✗ nu robust
anti_corr+0.11 pp[-0.31, +0.55]0.581✗ nu robust
Interpretare statistică: Pentru ✓ ROBUST trebuie: CI 95% inferior > 0 ȘI p_bootstrap < 0.05. Niciun rezultat nu trece.

De ce a părut anterior că HOT bate random cu +0.95 pp? Multiple testing bias (am testat 8+ strategii — era inevitabil ca una să "câștige" prin hazard) + single split bias (un seed nefavorabil pentru random) + selection bias (am ales strategiile post-hoc). Walk-forward + paired bootstrap eliminat aceste bias-uri.
📊 Backtest inițial (cu bias-uri) — pentru transparență (click)
⚠️ Aceste rezultate au fost contaminat de bias-uri statistice — paired walk-forward de mai sus arată că nu se reproduc. Păstrate pentru transparență istorică.

Strategie Sys 1 Sys 2 Sys 3 Câștigător la
🏆 HOT +0.21 pp +0.95 pp -0.15 pp Sys 2
🧠 Smart (pure confidence) +0.57 pp +0.76 pp -0.01 pp Sys 1
⚖️ Mean Reversion -0.07 pp +0.72 pp +0.11 pp Sys 3
📍 Recent Active +0.56 pp +0.31 pp -0.17 pp top 2 Sys 1
⭐ FEATURES NOI (doar sys 1):
🔗 Anti-Corr (corelații chi²) +0.47 pp +0.76 pp N/A sys 1+2 (nou)
🗓️ DOW Aware (zi × ora) +0.41 pp +0.83 pp N/A sys 1+2 (nou)
Random baseline 24.73% 5.45% 1.45%
🚫 Predict (vechi) +0.01 pp +0.23 pp -0.13 pp — nu folosi
Anti-predict +0.07 pp -0.07 pp -0.49 pp — sub random
📌 Recomandare per sistem: Sys 1 → 🧠 Smart | Sys 2 → 🏆 HOT | Sys 3 → ⚖️ Mean Rev (modurile se selectează automat când schimbi sistemul)

⚠️ Disclaimer onest: Improvement-urile sunt mici în absolut (sub 1 pp). Nu garantează câștig — ridică doar probabilitatea cu ~17% relativ peste hazard pe sys 2. Loto rămâne fundamental aleator. Sistemul ajută la informare, nu la siguranță.
SYS 1/1
16,754
80 combos · 100% of 16,754
SYS 2/2
16,754
3,160 combos · 100% of 16,754
SYS 3/3
16,754
82,173 combos · 100% of 16,754
SYS 4/4
16,754
1,470,317 combos · 100% of 16,754
SYS 5/5
6,000
24,306,164 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: periodic
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 #35 = {36} random

Descriptive

Apariții
4247
Mean ± std
3.94 ± 3.35
CV (std/mean)
0.849
Min/Max gap
1 / 31
Last seen
16752 (gap actual: 2)

Percentile gap-uri

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

Streaks & Pattern

Hot streak (consecutive)
7
Cold streak (max absență)
31
Autocorrelation lag-1
-0.005
Drift (h2-h1)
0
Best period T
T=30 (entropy=0.001)

Overdue Status

Current gap
2
vs mean (z-score)
-0.58 σ
vs P95
0.18x

Statistical Test (Chi-square)

chi²
408.43
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2972 / 1275 apariții
Mean train
3.95
MAE
2.48
Accuracy
37.2%
Erori per pred
[1,1,3,1,7,0,5,2,3,0,5,7,0,2,3,4,2,3,1,1,9,2,3,2,6,2,3,1,2,5,4,0,0,1,9,5,2,0,3,1,3,9,1,2,2,3,3,7,1,3,3,0,4,1,2,2,2,2,3,2,3,1,0,3,2,3,0,4,2,1,3,3,1,3,3,1,4,2,1,3,1,7,1,8,3,3,1,2,4,1,3,2,1,1,3,0,1,3,2,2,3,1,4,1,3,0,2,0,6,2,1,1,3,3,2,12,1,3,1,7,2,4,1,5,3,0,1,5,3,3,6,2,1,9,3,0,0,0,2,1,3,1,0,0,3,0,3,3,2,0,1,1,3,2,2,1,10,3,3,2,2,5,3,1,2,2,3,4,2,2,3,3,3,3,2,1,1,2,0,3,2,3,3,3,3,1,3,3,1,1,3,4,0,1,1,3,1,0,1,2,2,6,3,2,1,2,1,0,2,0,1,6,3,1,3,1,3,3,0,0,2,2,0,3,3,9,1,0,4,5,0,0,1,4,1,1,3,1,2,3,3,2,2,2,5,3,2,1,1,1,1,0,1,2,3,1,7,3,1,1,12,2,5,2,2,1,2,3,3,3,2,2,2,2,2,1,2,1,14,1,2,5,6,3,0,3,1,1,2,2,1,2,3,1,2,5,3,2,2,8,2,3,2,3,3,1,1,3,2,1,1,1,2,12,3,2,1,3,2,2,7,2,10,8,1,3,9,2,2,1,7,2,1,3,1,0,2,2,1,4,1,3,1,2,2,1,0,3,3,1,2,1,6,3,3,1,1,3,1,1,2,3,1,0,0,3,3,3,2,8,2,1,2,0,2,3,3,4,17,1,14,1,12,1,2,2,3,1,3,1,1,1,1,1,1,2,2,4,2,0,1,1,2,0,2,3,0,5,2,1,2,2,3,6,1,1,1,1,2,3,2,1,1,2,3,2,2,3,1,2,3,3,2,5,0,1,3,1,3,6,3,3,1,3,3,2,3,2,1,3,3,2,3,3,3,0,0,0,1,4,3,3,1,3,3,0,0,1,1,6,5,0,0,3,0,1,2,4,1,14,1,3,1,1,0,2,5,3,4,0,2,4,3,2,3,3,1,4,2,1,1,3,7,3,1,3,2,1,1,2,3,1,1,2,3,1,2,5,3,1,1,2,2,3,2,1,3,3,3,3,3,7,11,7,1,2,1,1,3,3,2,0,5,1,1,2,1,3,3,1,3,2,3,3,0,2,3,2,2,0,0,2,0,2,2,1,3,3,5,2,0,3,1,1,3,2,0,6,3,0,1,4,1,2,7,3,3,10,1,3,16,3,2,3,2,0,4,10,1,2,3,2,0,2,1,1,2,3,1,3,1,2,3,3,1,1,1,1,2,3,1,0,3,2,0,1,2,2,3,3,1,3,1,2,2,3,6,2,3,1,3,3,3,2,4,3,1,3,2,1,3,9,3,3,1,0,3,2,1,0,1,2,4,1,1,2,3,5,1,2,1,1,3,1,2,3,1,1,3,3,3,3,14,3,3,2,3,2,3,2,3,6,1,3,2,1,2,3,0,1,2,3,3,0,3,3,3,1,1,3,3,1,1,3,2,1,3,3,2,0,0,3,3,1,3,3,2,1,1,0,4,3,1,3,1,2,0,3,2,2,2,0,3,1,3,2,0,5,1,1,2,1,3,5,3,2,3,3,2,5,1,3,1,2,9,9,1,0,0,2,4,3,3,3,2,3,3,2,0,6,3,2,6,2,2,3,2,1,2,1,2,3,3,3,12,1,2,3,3,2,1,3,1,3,3,0,10,2,1,3,5,1,2,3,2,3,5,1,3,3,2,9,7,2,3,3,2,3,8,2,3,1,3,1,2,1,1,3,2,6,1,2,3,2,6,1,1,2,0,3,0,1,2,1,0,1,2,2,2,1,2,1,0,3,1,3,3,2,3,2,1,3,7,0,3,3,1,3,2,3,1,3,2,2,0,2,0,0,2,3,2,3,2,0,3,3,3,3,3,3,2,3,3,3,2,1,1,1,1,0,1,3,3,2,0,2,6,2,1,1,1,2,2,1,12,2,10,5,3,2,1,2,0,2,1,1,3,1,2,2,3,2,4,3,2,3,2,3,1,3,1,1,1,5,3,8,3,1,3,3,2,3,1,1,1,2,1,2,2,2,3,2,3,8,7,5,1,2,2,3,3,1,3,2,3,2,2,2,8,2,2,1,1,1,3,3,2,1,1,2,1,1,1,3,2,1,1,1,3,4,4,3,3,1,3,1,2,3,5,2,3,3,3,0,0,1,1,1,3,8,3,2,2,2,3,3,2,2,0,1,2,3,3,3,11,0,2,5,3,2,0,0,1,2,3,9,7,1,1,3,4,2,2,3,1,3,0,4,3,3,2,5,1,0,1,2,3,11,0,1,6,2,1,1,2,0,3,3,5,2,1,8,0,1,1,3,2,2,7,2,3,3,18,5,1,1,3,0,3,1,0,1,1,2,3,2,1,2,2,6,2,3,1,3,2,0,1,3,3,3,2,3,2,1,3,3,3,3,2,3,0,3,1,0,3,0,1,3,2,1,3,1,0,3,1,3,0,1,2,1,0,3,3,3,11,2,2,1,2,1,2,11,2,0,2,3,3,1,9,2,1,0,3,1,5,3,1,13,2,3,11,7,3,1,2,1,3,3,3,3,2,4,2,3,2,2,3,2,3,0,4,2,2,8,2,3,2,3,1,7,2,3,3,2,3,2,13,3,1,1,1,2,1,3,8,2,2,1,1,8,0,1,2,1,3,3,6,2,2,1,0,1,1,0,2,4,4,3,3,3,3,3,3,2,3,2,4,0,3,2,0,2,1,2,0]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.575
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.372
Total: 56.9%

🎯 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: 15 apariții Extrageri 84-167: 30 apariții Extrageri 168-251: 20 apariții Extrageri 252-335: 20 apariții Extrageri 336-418: 21 apariții Extrageri 419-502: 16 apariții Extrageri 503-586: 24 apariții Extrageri 587-670: 22 apariții Extrageri 671-753: 26 apariții Extrageri 754-837: 23 apariții Extrageri 838-921: 31 apariții Extrageri 922-1005: 26 apariții Extrageri 1006-1089: 24 apariții Extrageri 1090-1172: 21 apariții Extrageri 1173-1256: 17 apariții Extrageri 1257-1340: 22 apariții Extrageri 1341-1424: 20 apariții Extrageri 1425-1507: 24 apariții Extrageri 1508-1591: 27 apariții Extrageri 1592-1675: 21 apariții Extrageri 1676-1759: 15 apariții Extrageri 1760-1842: 23 apariții Extrageri 1843-1926: 22 apariții Extrageri 1927-2010: 19 apariții Extrageri 2011-2094: 20 apariții Extrageri 2095-2178: 23 apariții Extrageri 2179-2261: 21 apariții Extrageri 2262-2345: 21 apariții Extrageri 2346-2429: 24 apariții Extrageri 2430-2513: 19 apariții Extrageri 2514-2596: 16 apariții Extrageri 2597-2680: 17 apariții Extrageri 2681-2764: 20 apariții Extrageri 2765-2848: 25 apariții Extrageri 2849-2931: 20 apariții Extrageri 2932-3015: 22 apariții Extrageri 3016-3099: 26 apariții Extrageri 3100-3183: 18 apariții Extrageri 3184-3267: 23 apariții Extrageri 3268-3350: 30 apariții Extrageri 3351-3434: 24 apariții Extrageri 3435-3518: 19 apariții Extrageri 3519-3602: 24 apariții Extrageri 3603-3685: 20 apariții Extrageri 3686-3769: 25 apariții Extrageri 3770-3853: 20 apariții Extrageri 3854-3937: 20 apariții Extrageri 3938-4020: 21 apariții Extrageri 4021-4104: 24 apariții Extrageri 4105-4188: 24 apariții Extrageri 4189-4272: 25 apariții Extrageri 4273-4356: 19 apariții Extrageri 4357-4439: 17 apariții Extrageri 4440-4523: 17 apariții Extrageri 4524-4607: 23 apariții Extrageri 4608-4691: 18 apariții Extrageri 4692-4774: 19 apariții Extrageri 4775-4858: 24 apariții Extrageri 4859-4942: 21 apariții Extrageri 4943-5026: 22 apariții Extrageri 5027-5109: 26 apariții Extrageri 5110-5193: 19 apariții Extrageri 5194-5277: 21 apariții Extrageri 5278-5361: 19 apariții Extrageri 5362-5445: 18 apariții Extrageri 5446-5528: 14 apariții Extrageri 5529-5612: 17 apariții Extrageri 5613-5696: 19 apariții Extrageri 5697-5780: 29 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 22 apariții Extrageri 5948-6031: 26 apariții Extrageri 6032-6115: 17 apariții Extrageri 6116-6198: 15 apariții Extrageri 6199-6282: 17 apariții Extrageri 6283-6366: 22 apariții Extrageri 6367-6450: 20 apariții Extrageri 6451-6534: 19 apariții Extrageri 6535-6617: 19 apariții Extrageri 6618-6701: 21 apariții Extrageri 6702-6785: 21 apariții Extrageri 6786-6869: 18 apariții Extrageri 6870-6952: 22 apariții Extrageri 6953-7036: 29 apariții Extrageri 7037-7120: 19 apariții Extrageri 7121-7204: 18 apariții Extrageri 7205-7287: 18 apariții Extrageri 7288-7371: 22 apariții Extrageri 7372-7455: 23 apariții Extrageri 7456-7539: 21 apariții Extrageri 7540-7623: 26 apariții Extrageri 7624-7706: 18 apariții Extrageri 7707-7790: 24 apariții Extrageri 7791-7874: 24 apariții Extrageri 7875-7958: 13 apariții Extrageri 7959-8041: 19 apariții Extrageri 8042-8125: 23 apariții Extrageri 8126-8209: 16 apariții Extrageri 8210-8293: 24 apariții Extrageri 8294-8377: 27 apariții Extrageri 8378-8460: 10 apariții Extrageri 8461-8544: 29 apariții Extrageri 8545-8628: 20 apariții Extrageri 8629-8712: 30 apariții Extrageri 8713-8795: 22 apariții Extrageri 8796-8879: 31 apariții Extrageri 8880-8963: 15 apariții Extrageri 8964-9047: 21 apariții Extrageri 9048-9130: 24 apariții Extrageri 9131-9214: 21 apariții Extrageri 9215-9298: 23 apariții Extrageri 9299-9382: 20 apariții Extrageri 9383-9466: 21 apariții Extrageri 9467-9549: 16 apariții Extrageri 9550-9633: 22 apariții Extrageri 9634-9717: 20 apariții Extrageri 9718-9801: 16 apariții Extrageri 9802-9884: 23 apariții Extrageri 9885-9968: 23 apariții Extrageri 9969-10052: 25 apariții Extrageri 10053-10136: 21 apariții Extrageri 10137-10219: 25 apariții Extrageri 10220-10303: 25 apariții Extrageri 10304-10387: 22 apariții Extrageri 10388-10471: 20 apariții Extrageri 10472-10555: 20 apariții Extrageri 10556-10638: 16 apariții Extrageri 10639-10722: 21 apariții Extrageri 10723-10806: 17 apariții Extrageri 10807-10890: 17 apariții Extrageri 10891-10973: 17 apariții Extrageri 10974-11057: 21 apariții Extrageri 11058-11141: 20 apariții Extrageri 11142-11225: 27 apariții Extrageri 11226-11308: 21 apariții Extrageri 11309-11392: 22 apariții Extrageri 11393-11476: 20 apariții Extrageri 11477-11560: 28 apariții Extrageri 11561-11644: 21 apariții Extrageri 11645-11727: 13 apariții Extrageri 11728-11811: 14 apariții Extrageri 11812-11895: 17 apariții Extrageri 11896-11979: 17 apariții Extrageri 11980-12062: 18 apariții Extrageri 12063-12146: 18 apariții Extrageri 12147-12230: 25 apariții Extrageri 12231-12314: 16 apariții Extrageri 12315-12397: 18 apariții Extrageri 12398-12481: 25 apariții Extrageri 12482-12565: 29 apariții Extrageri 12566-12649: 25 apariții Extrageri 12650-12733: 20 apariții Extrageri 12734-12816: 19 apariții Extrageri 12817-12900: 21 apariții Extrageri 12901-12984: 25 apariții Extrageri 12985-13068: 16 apariții Extrageri 13069-13151: 17 apariții Extrageri 13152-13235: 23 apariții Extrageri 13236-13319: 18 apariții Extrageri 13320-13403: 17 apariții Extrageri 13404-13486: 22 apariții Extrageri 13487-13570: 23 apariții Extrageri 13571-13654: 26 apariții Extrageri 13655-13738: 15 apariții Extrageri 13739-13822: 19 apariții Extrageri 13823-13905: 28 apariții Extrageri 13906-13989: 16 apariții Extrageri 13990-14073: 26 apariții Extrageri 14074-14157: 18 apariții Extrageri 14158-14240: 16 apariții Extrageri 14241-14324: 24 apariții Extrageri 14325-14408: 21 apariții Extrageri 14409-14492: 22 apariții Extrageri 14493-14575: 24 apariții Extrageri 14576-14659: 30 apariții Extrageri 14660-14743: 22 apariții Extrageri 14744-14827: 20 apariții Extrageri 14828-14911: 25 apariții Extrageri 14912-14994: 27 apariții Extrageri 14995-15078: 18 apariții Extrageri 15079-15162: 22 apariții Extrageri 15163-15246: 25 apariții Extrageri 15247-15329: 30 apariții Extrageri 15330-15413: 15 apariții Extrageri 15414-15497: 22 apariții Extrageri 15498-15581: 23 apariții Extrageri 15582-15664: 24 apariții Extrageri 15665-15748: 26 apariții Extrageri 15749-15832: 20 apariții Extrageri 15833-15916: 20 apariții Extrageri 15917-16000: 17 apariții Extrageri 16001-16083: 19 apariții Extrageri 16084-16167: 17 apariții Extrageri 16168-16251: 28 apariții Extrageri 16252-16335: 24 apariții Extrageri 16336-16418: 19 apariții Extrageri 16419-16502: 23 apariții Extrageri 16503-16586: 21 apariții Extrageri 16587-16670: 20 apariții Extrageri 16671-16754: 21 apariții 0 4189 8377 12566 16754 mean=21.2/bin max=31 apariții/bin
Histogram: fiecare bară = un interval de 84 extrageri. Înălțime = nr apariții în acel interval. Galben deschis → portocaliu = mai multe apariții. Linie albastră întreruptă = densitatea medie (21.2 apariții/bin).
Combinația are 4,247 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):
[4, 13, 18, 21, 25, 30, 31, 34, 35, 44, 46, 47, 52, 61, 81, 87, 88, 90, 93, 97, 98, 99, 100, 101, 103, 104, 105, 109, 111, 118, 130, 137, 138, 140, 141, 148, 149, 151, 154, 158, 161, 162, 163, 164, 165, 173, 176, 177, 181, 182, 184, 191, 196, 199, 200, 203, 207, 210, 216, 220, 226, 237, 241, 248, 249, 254, 256, 263, 264, 275, 277, 281, 282, 288, 290, 301, 310, 313, 314, 322, 324, 325, 330, 335, 336, 340, 348, 350, 353, 355, 356, 357, 359, 365, 371, 374, 382, 386, 388, 389, 390, 394, 407, 409, 415, 418, 421, 429, 445, 447, 451, 452, 461, 463, 465, 469, 479, 484, 486, 492, 501, 502, 506, 508, 514, 515, 517, 521, 526, 528, 529, 531, 535, 541, 544, 551, 553, 554, 562, 564, 566, 570, 578, 581, 583, 586, 591, 592, 593, 595, 598, 617, 619, 625, 627, 631, 636, 637, 646, 647, 649, 650, 654, 657, 659, 661, 668, 670, 677, 680, 693, 694, 695, 697, 703, 704, 708, 709, 712, 713, 718, 721, 726, 727, 734, 738, 740, 741, 742, 746, 747, 748, 752, 754, 758, 759, 761, 764, 769, 773, 776, 787, 793, 800, 803, 804, 808, 809, 815, 817, 821, 825, 827, 831, 832, 833, 836, 843, 844, 847, 851, 852, 854, 857, 859, 863, 864, 866, 869, 870, 873, 874, 880, 882, 885, 886, 887, 896, 901, 902, 904, 905, 909, 916, 917, 918, 919, 922, 924, 927, 930, 931, 933, 935, 938, 943, 944, 947, 949, 951, 959, 960, 961, 967, 968, 971, 977, 979, 981, 982, 988, 995, 997, 1000, 1007, 1010, 1012, 1018, 1020, 1024, 1027, 1030, 1031, 1037, 1046, 1047, 1049, 1051, 1052, 1056, 1060, 1065, 1069, 1072, 1080, 1083, 1085, 1086, 1098, 1099, 1100, 1104, 1110, 1112, 1113, 1116, 1121, 1125, 1126, 1128, 1130, 1131, 1138, 1142, 1143, 1144, 1153, 1157, 1168, 1177, 1188, 1194, 1198, 1199, 1202, 1209, 1210, 1216, 1219, 1222, 1224, 1226, 1240, 1242, 1253, 1256, 1261, 1270, 1279, 1282, 1283, 1289, 1291, 1292, 1300, 1301, 1302, 1303, 1304, 1314, 1320, 1324, 1325, 1330, 1332, 1335, 1336, 1340, 1345, 1347, 1348, 1349, 1354, 1358, 1362, 1368, 1373, 1374, 1375, 1378, 1379, 1381, 1384, 1400, 1403, 1413, 1418, 1419, 1430, 1434, 1446, 1449, 1450, 1452, 1457, 1461, 1463, 1464, 1469, 1471, 1472, 1473, 1480, 1483, 1486, 1490, 1492, 1496, 1500, 1503, 1506, 1508, 1509, 1512, 1513, 1518, 1525, 1526, 1527, 1528, 1530, 1531, 1534, 1535, 1536, 1542, 1543, 1546, 1549, 1553, 1556, 1566, 1570, 1573, 1583, 1584, 1585, 1588, 1590, 1593, 1596, 1604, 1609, 1610, 1621, 1622, 1624, 1625, 1628, 1630, 1631, 1632, 1635, 1644, 1645, 1648, 1652, 1656, 1660, 1669, 1680, 1686, 1687, 1689, 1692, 1702, 1706, 1710, 1711, 1724, 1729, 1730, 1736, 1743, 1750, 1762, 1766, 1771, 1773, 1776, 1777, 1779, 1782, 1785, 1792, 1793, 1795, 1797, 1798, 1802, 1804, 1810, 1811, 1814, 1822, 1825, 1842, 1843, 1847, 1848, 1852, 1854, 1874, 1875, 1876, 1880, 1884, 1887, 1891, 1894, 1900, 1902, 1906, 1912, 1913, 1914, 1916, 1917, 1924, 1926, 1930, 1938, 1946, 1949, 1950, 1953, 1956, 1957, 1958, 1964, 1972, 1973, 1974, 1980, 1981, 1983, 1985, 1986, 2000, 2015, 2016, 2018, 2025, 2031, 2034, 2040, 2045, 2050, 2051, 2060, 2064, 2065, 2067, 2068, 2069, 2075, 2080, 2088, 2090, 2101, 2102, 2104, 2116, 2118, 2121, 2124, 2128, 2132, 2136, 2139, 2141, 2145, 2147, 2148, 2153, 2157, 2159, 2163, 2165, 2169, 2170, 2173, 2182, 2186, 2191, 2196, 2202, 2203, 2209, 2211, 2213, 2214, 2218, 2219, 2223, 2229, 2231, 2241, 2248, 2249, 2254, 2259, 2262, 2270, 2271, 2275, 2278, 2287, 2288, 2289, 2292, 2298, 2302, 2305, 2307, 2312, 2319, 2320, 2321, 2327, 2334, 2339, 2340, 2343, 2348, 2351, 2353, 2354, 2360, 2361, 2368, 2370, 2372, 2377, 2379, 2390, 2393, 2396, 2398, 2401, 2406, 2412, 2414, 2415, 2420, 2421, 2426, 2427, 2433, 2440, 2442, 2454, 2464, 2471, 2474, 2482, 2483, 2485, 2490, 2491, 2492, 2494, 2496, 2499, 2501, 2508, 2514, 2526, 2534, 2535, 2540, 2545, 2559, 2564, 2566, 2576, 2577, 2580, 2586, 2588, 2589, 2590, 2591, 2603, 2605, 2609, 2616, 2629, 2637, 2642, 2646, 2649, 2650, 2651, 2652, 2653, 2658, 2659, 2679, 2681, 2682, 2684, 2690, 2696, 2700, 2704, 2711, 2712, 2714, 2717, 2720, 2722, 2725, 2726, 2727, 2734, 2739, 2741, 2746, 2763, 2767, 2768, 2770, 2772, 2774, 2778, 2786, 2787, 2791, 2794, 2800, 2801, 2806, 2808, 2812, 2819, 2820, 2822, 2825, 2834, 2837, 2839, 2840, 2841, 2846, 2854, 2855, 2856, 2857, 2858, 2863, 2869, 2870, 2871, 2877, 2883, 2884, 2895, 2896, 2901, 2904, 2924, 2925, 2927, 2930, 2937, 2945, 2957, 2967, 2972, 2978, 2979, 2980, 2984, 2986, 2990, 2993, 2996, 2999, 3000, 3001, 3003, 3005, 3006, 3008, 3014, 3015, 3017, 3020, 3023, 3027, 3028, 3033, 3034, 3035, 3036, 3040, 3042, 3044, 3046, 3056, 3057, 3061, 3062, 3064, 3066, 3070, 3074, 3085, 3086, 3088, 3089, 3093, 3104, 3105, 3111, 3113, 3116, 3120, 3122, 3127, 3129, 3132, 3133, 3139, 3140, 3143, 3153, 3160, 3169, 3181, 3185, 3188, 3190, 3199, 3200, 3201, 3203, 3204, 3207, 3208, 3215, 3221, 3225, 3228, 3229, 3234, 3239, 3240, 3243, 3245, 3261, 3265, 3266, 3271, 3276, 3277, 3280, 3283, 3284, 3285, 3286, 3289, 3293, 3296, 3297, 3302, 3305, 3307, 3309, 3313, 3316, 3321, 3322, 3323, 3325, 3329, 3331, 3334, 3341, 3342, 3343, 3345, 3348, 3353, 3357, 3358, 3360, 3362, 3365, 3367, 3371, 3374, 3376, 3378, 3379, 3383, 3391, 3392, 3396, 3397, 3398, 3403, 3409, 3412, 3415, 3420, 3422, 3439, 3440, 3445, 3458, 3463, 3469, 3473, 3475, 3477, 3478, 3485, 3492, 3496, 3498, 3500, 3504, 3505, 3507, 3509, 3526, 3528, 3529, 3535, 3542, 3543, 3545, 3558, 3561, 3562, 3563, 3564, 3566, 3567, 3569, 3570, 3571, 3583, 3588, 3590, 3596, 3599, 3600, 3602, 3606, 3610, 3611, 3615, 3620, 3628, 3632, 3639, 3640, 3652, 3653, 3666, 3668, 3670, 3673, 3674, 3678, 3681, 3685, 3686, 3690, 3691, 3692, 3696, 3698, 3699, 3700, 3701, 3702, 3704, 3706, 3713, 3717, 3719, 3726, 3731, 3732, 3740, 3741, 3742, 3748, 3753, 3755, 3764, 3765, 3775, 3783, 3786, 3791, 3792, 3795, 3798, 3800, 3802, 3806, 3811, 3815, 3817, 3822, 3826, 3835, 3837, 3847, 3848, 3852, 3860, 3862, 3863, 3864, 3876, 3883, 3888, 3897, 3898, 3905, 3907, 3913, 3918, 3921, 3923, 3925, 3929, 3935, 3936, 3938, 3942, 3946, 3952, 3958, 3959, 3970, 3972, 3975, 3978, 3985, 3986, 3987, 3989, 3995, 3996, 4001, 4002, 4009, 4016, 4018, 4021, 4022, 4037, 4038, 4039, 4040, 4041, 4051, 4056, 4060, 4061, 4064, 4071, 4078, 4079, 4080, 4083, 4085, 4088, 4091, 4092, 4094, 4097, 4099, 4105, 4112, 4116, 4121, 4125, 4129, 4130, 4132, 4139, 4142, 4143, 4146, 4152, 4153, 4156, 4161, 4163, 4164, 4165, 4169, 4170, 4172, 4175, 4185, 4187, 4192, 4200, 4201, 4202, 4204, 4210, 4212, 4215, 4217, 4219, 4221, 4232, 4234, 4235, 4239, 4242, 4254, 4255, 4258, 4264, 4265, 4266, 4267, 4269, 4272, 4280, 4292, 4295, 4300, 4305, 4306, 4316, 4326, 4329, 4333, 4336, 4337, 4338, 4340, 4347, 4349, 4351, 4354, 4356, 4368, 4370, 4376, 4382, 4384, 4386, 4388, 4394, 4413, 4415, 4420, 4423, 4424, 4427, 4431, 4432, 4439, 4446, 4453, 4456, 4457, 4459, 4462, 4468, 4469, 4476, 4485, 4489, 4492, 4493, 4494, 4506, 4508, 4522, 4531, 4532, 4536, 4540, 4544, 4545, 4546, 4547, 4549, 4552, 4555, 4569, 4571, 4578, 4586, 4589, 4593, 4594, 4595, 4599, 4604, 4606, 4607, 4619, 4626, 4631, 4634, 4639, 4640, 4643, 4646, 4648, 4651, 4659, 4669, 4670, 4671, 4680, 4682, 4686, 4689, 4693, 4696, 4703, 4705, 4706, 4711, 4718, 4730, 4732, 4744, 4748, 4752, 4757, 4759, 4760, 4763, 4764, 4765, 4772, 4781, 4782, 4791, 4800, 4801, 4806, 4810, 4813, 4814, 4815, 4819, 4820, 4821, 4827, 4828, 4830, 4835, 4838, 4839, 4846, 4850, 4853, 4856, 4859, 4865, 4867, 4873, 4880, 4884, 4889, 4906, 4908, 4909, 4910, 4911, 4915, 4916, 4919, 4921, 4923, 4927, 4929, 4935, 4936, 4943, 4945, 4949, 4952, 4953, 4955, 4957, 4958, 4959, 4964, 4979, 4980, 4985, 4990, 4992, 4993, 4994, 4999, 5012, 5016, 5017, 5019, 5024, 5029, 5030, 5031, 5035, 5036, 5043, 5044, 5047, 5054, 5056, 5058, 5063, 5065, 5070, 5074, 5083, 5085, 5089, 5090, 5092, 5095, 5097, 5098, 5101, 5106, 5109, 5115, 5116, 5121, 5131, 5135, 5138, 5141, 5149, 5161, 5162, 5165, 5167, 5168, 5169, 5175, 5176, 5182, 5191, 5194, 5197, 5198, 5212, 5220, 5226, 5236, 5241, 5244, 5245, 5249, 5251, 5252, 5253, 5261, 5266, 5267, 5268, 5270, 5272, 5274, 5275, 5289, 5295, 5296, 5306, 5310, 5318, 5325, 5326, 5327, 5333, 5343, 5344, 5346, 5350, 5353, 5355, 5356, 5358, 5360, 5376, 5386, 5388, 5391, 5397, 5399, 5403, 5416, 5417, 5418, 5420, 5421, 5426, 5428, 5433, 5434, 5439, 5444, 5449, 5450, 5452, 5458, 5480, 5491, 5493, 5494, 5502, 5514, 5521, 5523, 5526, 5529, 5535, 5539, 5561, 5563, 5569, 5570, 5572, 5584, 5586, 5593, 5597, 5598, 5602, 5606, 5610, 5612, 5613, 5614, 5620, 5621, 5622, 5631, 5633, 5634, 5637, 5642, 5655, 5658, 5665, 5667, 5670, 5678, 5679, 5687, 5691, 5693, 5701, 5702, 5703, 5704, 5709, 5710, 5711, 5718, 5721, 5734, 5736, 5737, 5738, 5740, 5744, 5747, 5751, 5752, 5755, 5760, 5761, 5764, 5765, 5767, 5774, 5775, 5776, 5777, 5781, 5782, 5783, 5793, 5801, 5804, 5812, 5814, 5815, 5820, 5822, 5824, 5825, 5827, 5831, 5835, 5836, 5839, 5841, 5848, 5861, 5866, 5869, 5870, 5879, 5881, 5882, 5885, 5886, 5891, 5892, 5895, 5897, 5898, 5902, 5907, 5908, 5912, 5917, 5924, 5932, 5933, 5936, 5953, 5956, 5965, 5969, 5975, 5976, 5978, 5980, 5982, 5987, 5992, 5993, 5994, 5998, 6005, 6006, 6009, 6014, 6015, 6017, 6018, 6021, 6023, 6025, 6027, 6030, 6041, 6049, 6053, 6055, 6056, 6057, 6064, 6066, 6067, 6072, 6075, 6086, 6094, 6100, 6104, 6108, 6113, 6118, 6134, 6136, 6139, 6146, 6147, 6158, 6163, 6167, 6169, 6171, 6176, 6190, 6193, 6197, 6209, 6216, 6218, 6221, 6225, 6229, 6243, 6249, 6252, 6257, 6259, 6261, 6263, 6264, 6265, 6277, 6278, 6291, 6292, 6294, 6296, 6297, 6306, 6310, 6314, 6318, 6321, 6327, 6329, 6330, 6331, 6335, 6339, 6341, 6345, 6346, 6351, 6361, 6365, 6369, 6382, 6385, 6391, 6393, 6403, 6409, 6412, 6415, 6417, 6425, 6429, 6432, 6435, 6437, 6439, 6440, 6441, 6446, 6448, 6455, 6458, 6459, 6461, 6463, 6464, 6467, 6469, 6476, 6499, 6500, 6501, 6502, 6506, 6507, 6523, 6524, 6530, 6532, 6537, 6538, 6542, 6543, 6548, 6552, 6554, 6567, 6571, 6576, 6583, 6589, 6602, 6603, 6607, 6609, 6610, 6614, 6616, 6621, 6623, 6624, 6626, 6633, 6638, 6641, 6645, 6651, 6656, 6660, 6664, 6669, 6671, 6672, 6675, 6679, 6689, 6690, 6695, 6700, 6704, 6705, 6712, 6714, 6720, 6722, 6727, 6733, 6734, 6736, 6739, 6742, 6743, 6745, 6751, 6752, 6758, 6759, 6780, 6783, 6784, 6787, 6788, 6794, 6800, 6803, 6806, 6812, 6818, 6821, 6822, 6823, 6826, 6830, 6831, 6833, 6838, 6864, 6869, 6874, 6886, 6892, 6893, 6894, 6896, 6897, 6899, 6904, 6916, 6920, 6922, 6923, 6926, 6927, 6929, 6931, 6933, 6940, 6943, 6951, 6952, 6956, 6957, 6960, 6961, 6963, 6967, 6968, 6969, 6974, 6975, 6977, 6981, 6988, 6993, 6994, 6996, 6997, 6999, 7000, 7004, 7014, 7015, 7016, 7017, 7019, 7025, 7029, 7030, 7034, 7039, 7040, 7042, 7053, 7055, 7065, 7067, 7078, 7080, 7082, 7086, 7093, 7095, 7100, 7101, 7108, 7110, 7113, 7119, 7134, 7139, 7152, 7153, 7155, 7160, 7161, 7162, 7167, 7168, 7175, 7184, 7185, 7186, 7191, 7195, 7197, 7204, 7206, 7208, 7210, 7219, 7220, 7223, 7231, 7247, 7253, 7254, 7257, 7263, 7264, 7265, 7271, 7279, 7280, 7287, 7295, 7298, 7300, 7302, 7307, 7310, 7311, 7317, 7321, 7326, 7333, 7336, 7337, 7340, 7341, 7348, 7352, 7353, 7355, 7357, 7361, 7366, 7373, 7380, 7381, 7386, 7387, 7400, 7405, 7408, 7415, 7418, 7419, 7421, 7422, 7429, 7431, 7432, 7436, 7437, 7438, 7440, 7443, 7450, 7451, 7458, 7463, 7464, 7467, 7468, 7471, 7476, 7487, 7488, 7495, 7500, 7501, 7505, 7515, 7522, 7523, 7525, 7526, 7527, 7532, 7536, 7541, 7542, 7543, 7546, 7547, 7548, 7550, 7554, 7555, 7560, 7564, 7569, 7573, 7575, 7576, 7578, 7580, 7581, 7586, 7587, 7594, 7595, 7608, 7614, 7619, 7621, 7631, 7641, 7650, 7651, 7652, 7663, 7667, 7670, 7671, 7673, 7677, 7678, 7679, 7685, 7694, 7697, 7700, 7707, 7709, 7711, 7713, 7714, 7721, 7725, 7737, 7739, 7740, 7741, 7747, 7748, 7750, 7757, 7759, 7762, 7775, 7776, 7780, 7782, 7783, 7784, 7788, 7790, 7798, 7805, 7807, 7808, 7810, 7811, 7818, 7819, 7821, 7824, 7834, 7838, 7842, 7844, 7848, 7851, 7853, 7860, 7861, 7862, 7864, 7866, 7867, 7874, 7879, 7887, 7897, 7911, 7913, 7914, 7926, 7932, 7935, 7941, 7944, 7948, 7956, 7962, 7963, 7965, 7966, 7977, 7979, 7987, 7989, 7995, 7999, 8001, 8002, 8003, 8006, 8012, 8018, 8023, 8027, 8030, 8044, 8048, 8052, 8060, 8064, 8075, 8076, 8082, 8084, 8085, 8086, 8089, 8094, 8097, 8098, 8100, 8108, 8113, 8114, 8116, 8121, 8123, 8126, 8130, 8135, 8157, 8159, 8161, 8168, 8179, 8184, 8185, 8191, 8193, 8197, 8204, 8205, 8206, 8209, 8211, 8214, 8225, 8226, 8233, 8237, 8239, 8240, 8244, 8250, 8252, 8258, 8262, 8263, 8268, 8272, 8275, 8278, 8281, 8282, 8284, 8286, 8287, 8290, 8295, 8297, 8298, 8300, 8301, 8305, 8308, 8315, 8321, 8322, 8323, 8324, 8329, 8330, 8333, 8347, 8350, 8352, 8355, 8360, 8364, 8367, 8370, 8371, 8372, 8375, 8376, 8382, 8385, 8389, 8415, 8421, 8432, 8442, 8444, 8455, 8459, 8464, 8465, 8468, 8470, 8472, 8477, 8480, 8482, 8483, 8484, 8485, 8486, 8495, 8499, 8503, 8512, 8513, 8514, 8515, 8516, 8518, 8521, 8522, 8525, 8527, 8529, 8534, 8535, 8541, 8547, 8548, 8552, 8557, 8563, 8564, 8570, 8573, 8576, 8578, 8592, 8597, 8602, 8612, 8614, 8618, 8624, 8625, 8628, 8629, 8633, 8639, 8640, 8641, 8645, 8646, 8648, 8652, 8653, 8654, 8656, 8664, 8671, 8672, 8673, 8675, 8676, 8680, 8685, 8687, 8688, 8689, 8690, 8693, 8695, 8700, 8701, 8707, 8712, 8713, 8721, 8723, 8725, 8726, 8731, 8732, 8739, 8742, 8744, 8746, 8753, 8754, 8757, 8758, 8760, 8768, 8776, 8781, 8783, 8788, 8790, 8793, 8802, 8803, 8805, 8810, 8812, 8813, 8817, 8818, 8820, 8822, 8824, 8826, 8829, 8833, 8839, 8840, 8845, 8846, 8851, 8854, 8858, 8863, 8866, 8867, 8869, 8873, 8874, 8876, 8877, 8878, 8880, 8885, 8886, 8899, 8901, 8903, 8910, 8913, 8918, 8920, 8928, 8931, 8934, 8936, 8944, 8948, 8969, 8973, 8978, 8979, 8981, 8987, 8989, 8990, 8997, 9004, 9006, 9009, 9010, 9015, 9022, 9023, 9024, 9033, 9037, 9038, 9043, 9049, 9052, 9056, 9060, 9064, 9065, 9070, 9071, 9073, 9074, 9081, 9082, 9086, 9092, 9094, 9102, 9104, 9105, 9109, 9112, 9118, 9123, 9124, 9129, 9133, 9137, 9144, 9145, 9146, 9147, 9151, 9158, 9159, 9172, 9173, 9175, 9176, 9178, 9180, 9190, 9194, 9197, 9198, 9206, 9211, 9218, 9219, 9222, 9233, 9235, 9237, 9238, 9239, 9240, 9242, 9243, 9248, 9251, 9252, 9255, 9258, 9260, 9267, 9270, 9276, 9289, 9295, 9298, 9300, 9302, 9303, 9307, 9309, 9310, 9312, 9314, 9317, 9323, 9324, 9331, 9334, 9336, 9339, 9355, 9358, 9373, 9374, 9378, 9385, 9391, 9394, 9396, 9397, 9402, 9407, 9408, 9413, 9417, 9436, 9438, 9440, 9441, 9444, 9451, 9453, 9454, 9460, 9461, 9465, 9470, 9473, 9475, 9476, 9485, 9489, 9491, 9494, 9500, 9506, 9507, 9509, 9520, 9531, 9534, 9537, 9556, 9559, 9565, 9568, 9574, 9575, 9577, 9583, 9584, 9587, 9592, 9594, 9596, 9604, 9606, 9608, 9610, 9617, 9624, 9630, 9631, 9632, 9642, 9647, 9648, 9649, 9652, 9656, 9662, 9664, 9666, 9675, 9678, 9680, 9685, 9687, 9690, 9693, 9700, 9704, 9705, 9712, 9721, 9722, 9724, 9726, 9733, 9737, 9744, 9746, 9747, 9754, 9764, 9768, 9769, 9770, 9789, 9797, 9803, 9804, 9809, 9810, 9813, 9821, 9835, 9838, 9841, 9842, 9844, 9847, 9851, 9854, 9855, 9862, 9864, 9866, 9870, 9876, 9881, 9884, 9885, 9886, 9887, 9895, 9896, 9904, 9905, 9910, 9911, 9923, 9931, 9933, 9935, 9937, 9943, 9945, 9948, 9949, 9956, 9957, 9958, 9959, 9966, 9969, 9974, 9976, 9977, 9978, 9980, 9981, 9986, 9992, 9993, 9999, 10001, 10002, 10004, 10005, 10009, 10012, 10023, 10028, 10031, 10039, 10040, 10046, 10047, 10050, 10051, 10054, 10072, 10073, 10079, 10081, 10084, 10085, 10093, 10097, 10099, 10101, 10102, 10104, 10109, 10111, 10114, 10115, 10118, 10121, 10133, 10137, 10139, 10140, 10142, 10144, 10147, 10148, 10149, 10155, 10160, 10177, 10185, 10186, 10189, 10191, 10195, 10197, 10198, 10201, 10208, 10209, 10210, 10213, 10214, 10216, 10219, 10224, 10227, 10231, 10238, 10239, 10243, 10249, 10254, 10255, 10258, 10262, 10263, 10267, 10273, 10274, 10277, 10279, 10280, 10283, 10289, 10292, 10301, 10302, 10303, 10304, 10305, 10316, 10319, 10320, 10323, 10324, 10326, 10328, 10333, 10337, 10340, 10341, 10351, 10363, 10367, 10368, 10373, 10374, 10378, 10379, 10380, 10383, 10393, 10402, 10408, 10410, 10416, 10417, 10421, 10422, 10423, 10424, 10425, 10428, 10433, 10444, 10446, 10447, 10448, 10456, 10463, 10471, 10473, 10474, 10479, 10486, 10487, 10488, 10499, 10503, 10513, 10518, 10524, 10530, 10535, 10539, 10540, 10549, 10550, 10551, 10552, 10553, 10559, 10568, 10571, 10581, 10587, 10594, 10601, 10605, 10609, 10610, 10616, 10624, 10625, 10632, 10637, 10639, 10640, 10643, 10648, 10655, 10657, 10659, 10668, 10675, 10677, 10681, 10686, 10687, 10688, 10690, 10693, 10694, 10698, 10707, 10712, 10720, 10721, 10728, 10729, 10733, 10749, 10755, 10761, 10762, 10772, 10775, 10777, 10778, 10785, 10789, 10791, 10795, 10798, 10800, 10812, 10818, 10825, 10829, 10837, 10848, 10850, 10855, 10856, 10859, 10863, 10865, 10866, 10872, 10873, 10878, 10891, 10894, 10901, 10903, 10906, 10909, 10910, 10914, 10923, 10935, 10937, 10945, 10947, 10948, 10954, 10962, 10968, 10972, 10975, 10984, 10985, 10987, 10988, 10990, 11004, 11005, 11009, 11013, 11016, 11023, 11029, 11033, 11043, 11051, 11053, 11055, 11056, 11057, 11058, 11076, 11085, 11087, 11088, 11090, 11092, 11095, 11097, 11098, 11109, 11113, 11116, 11119, 11122, 11127, 11129, 11136, 11138, 11139, 11140, 11147, 11151, 11156, 11157, 11162, 11163, 11164, 11167, 11168, 11169, 11174, 11180, 11186, 11190, 11192, 11194, 11195, 11198, 11201, 11202, 11205, 11207, 11210, 11214, 11215, 11217, 11224, 11227, 11231, 11236, 11244, 11245, 11250, 11252, 11258, 11268, 11274, 11278, 11279, 11283, 11287, 11290, 11297, 11298, 11299, 11301, 11302, 11308, 11311, 11314, 11318, 11322, 11329, 11333, 11337, 11340, 11349, 11361, 11364, 11365, 11366, 11367, 11368, 11369, 11371, 11374, 11379, 11381, 11383, 11390, 11395, 11399, 11404, 11405, 11421, 11430, 11435, 11438, 11440, 11444, 11447, 11450, 11451, 11456, 11458, 11465, 11468, 11470, 11473, 11476, 11478, 11479, 11480, 11481, 11482, 11484, 11486, 11488, 11491, 11496, 11497, 11498, 11500, 11504, 11505, 11510, 11512, 11522, 11527, 11529, 11531, 11535, 11540, 11541, 11546, 11547, 11552, 11560, 11565, 11566, 11574, 11580, 11588, 11590, 11592, 11595, 11601, 11602, 11604, 11605, 11608, 11609, 11624, 11627, 11629, 11635, 11640, 11642, 11643, 11655, 11659, 11661, 11662, 11667, 11668, 11678, 11679, 11688, 11693, 11698, 11702, 11707, 11738, 11743, 11746, 11753, 11756, 11767, 11771, 11780, 11782, 11783, 11787, 11796, 11807, 11811, 11813, 11820, 11828, 11834, 11835, 11838, 11841, 11854, 11856, 11863, 11865, 11875, 11877, 11878, 11881, 11887, 11896, 11904, 11908, 11912, 11915, 11928, 11937, 11943, 11947, 11948, 11953, 11954, 11967, 11970, 11972, 11978, 11979, 11980, 11991, 11994, 12001, 12002, 12006, 12014, 12019, 12025, 12031, 12037, 12043, 12044, 12046, 12047, 12050, 12054, 12061, 12063, 12064, 12068, 12076, 12078, 12083, 12084, 12085, 12088, 12095, 12096, 12099, 12107, 12109, 12114, 12115, 12120, 12131, 12136, 12148, 12149, 12150, 12155, 12157, 12165, 12170, 12171, 12173, 12176, 12181, 12182, 12186, 12189, 12190, 12192, 12194, 12195, 12198, 12206, 12211, 12212, 12216, 12218, 12222, 12232, 12238, 12241, 12246, 12247, 12254, 12256, 12272, 12277, 12278, 12281, 12292, 12294, 12302, 12305, 12314, 12321, 12325, 12330, 12339, 12340, 12341, 12351, 12353, 12356, 12369, 12370, 12374, 12378, 12382, 12384, 12389, 12390, 12395, 12399, 12403, 12404, 12408, 12415, 12416, 12418, 12422, 12425, 12428, 12429, 12431, 12433, 12436, 12450, 12451, 12452, 12454, 12460, 12469, 12470, 12473, 12479, 12481, 12482, 12490, 12492, 12494, 12495, 12502, 12503, 12504, 12506, 12509, 12512, 12514, 12518, 12519, 12521, 12522, 12523, 12524, 12525, 12528, 12529, 12530, 12535, 12538, 12539, 12547, 12551, 12556, 12561, 12562, 12567, 12571, 12576, 12578, 12580, 12590, 12591, 12593, 12596, 12602, 12605, 12609, 12611, 12615, 12618, 12628, 12629, 12634, 12635, 12638, 12639, 12640, 12644, 12648, 12650, 12652, 12656, 12657, 12658, 12671, 12674, 12678, 12686, 12695, 12699, 12703, 12706, 12714, 12717, 12722, 12723, 12726, 12728, 12729, 12730, 12736, 12738, 12740, 12749, 12750, 12752, 12757, 12760, 12765, 12768, 12772, 12775, 12777, 12778, 12783, 12794, 12795, 12798, 12803, 12819, 12821, 12830, 12832, 12834, 12837, 12839, 12840, 12841, 12842, 12844, 12850, 12852, 12858, 12864, 12867, 12869, 12872, 12890, 12893, 12895, 12904, 12914, 12915, 12919, 12920, 12923, 12926, 12928, 12930, 12935, 12937, 12938, 12941, 12947, 12956, 12957, 12959, 12961, 12973, 12975, 12976, 12978, 12979, 12980, 12983, 12986, 12987, 12989, 12992, 12997, 13000, 13002, 13018, 13025, 13031, 13034, 13035, 13037, 13043, 13054, 13056, 13070, 13082, 13085, 13086, 13099, 13101, 13107, 13110, 13121, 13123, 13128, 13129, 13132, 13136, 13138, 13140, 13145, 13153, 13156, 13157, 13162, 13168, 13170, 13175, 13179, 13180, 13181, 13184, 13190, 13193, 13203, 13210, 13211, 13216, 13221, 13222, 13227, 13232, 13234, 13235, 13238, 13242, 13246, 13247, 13254, 13255, 13257, 13269, 13271, 13276, 13278, 13282, 13284, 13285, 13286, 13294, 13315, 13318, 13336, 13339, 13355, 13358, 13364, 13370, 13371, 13374, 13375, 13378, 13383, 13386, 13391, 13396, 13399, 13401, 13403, 13411, 13413, 13417, 13420, 13423, 13425, 13429, 13431, 13432, 13436, 13445, 13447, 13452, 13454, 13456, 13457, 13467, 13470, 13475, 13478, 13481, 13487, 13488, 13494, 13497, 13502, 13504, 13511, 13513, 13515, 13516, 13519, 13521, 13528, 13529, 13535, 13544, 13548, 13551, 13552, 13555, 13556, 13566, 13567, 13568, 13573, 13574, 13575, 13577, 13578, 13580, 13583, 13590, 13591, 13593, 13594, 13595, 13602, 13606, 13610, 13614, 13617, 13625, 13626, 13633, 13636, 13637, 13644, 13648, 13652, 13655, 13658, 13668, 13677, 13681, 13685, 13686, 13690, 13695, 13697, 13705, 13708, 13726, 13731, 13732, 13735, 13740, 13744, 13746, 13755, 13756, 13764, 13768, 13774, 13782, 13783, 13789, 13796, 13797, 13800, 13808, 13810, 13813, 13816, 13817, 13828, 13829, 13832, 13833, 13835, 13840, 13843, 13845, 13846, 13851, 13856, 13862, 13863, 13866, 13868, 13877, 13878, 13881, 13886, 13888, 13890, 13891, 13893, 13896, 13897, 13898, 13905, 13906, 13907, 13918, 13933, 13944, 13947, 13953, 13956, 13959, 13960, 13967, 13969, 13973, 13982, 13985, 13988, 13990, 13995, 13996, 14003, 14008, 14009, 14015, 14016, 14017, 14021, 14027, 14028, 14030, 14032, 14036, 14040, 14042, 14046, 14048, 14050, 14055, 14056, 14057, 14066, 14068, 14072, 14073, 14078, 14081, 14082, 14084, 14088, 14098, 14099, 14103, 14108, 14116, 14119, 14121, 14132, 14133, 14134, 14148, 14151, 14158, 14178, 14179, 14185, 14186, 14188, 14192, 14200, 14214, 14217, 14223, 14224, 14226, 14230, 14232, 14235, 14240, 14242, 14243, 14246, 14247, 14250, 14252, 14253, 14260, 14265, 14268, 14273, 14278, 14284, 14285, 14288, 14292, 14293, 14299, 14303, 14308, 14314, 14316, 14323, 14324, 14329, 14330, 14333, 14335, 14337, 14338, 14348, 14350, 14357, 14360, 14361, 14362, 14363, 14365, 14373, 14380, 14385, 14386, 14392, 14397, 14398, 14411, 14418, 14425, 14428, 14432, 14433, 14435, 14438, 14442, 14445, 14447, 14455, 14458, 14461, 14467, 14468, 14477, 14480, 14482, 14487, 14490, 14491, 14494, 14496, 14497, 14500, 14505, 14506, 14507, 14514, 14515, 14533, 14534, 14535, 14537, 14538, 14540, 14541, 14547, 14548, 14558, 14561, 14562, 14564, 14567, 14573, 14580, 14584, 14587, 14589, 14596, 14597, 14601, 14602, 14603, 14604, 14607, 14610, 14611, 14612, 14617, 14620, 14621, 14627, 14632, 14633, 14634, 14636, 14640, 14644, 14645, 14646, 14651, 14652, 14653, 14659, 14662, 14665, 14669, 14677, 14678, 14681, 14682, 14687, 14689, 14693, 14694, 14700, 14702, 14708, 14712, 14713, 14718, 14725, 14727, 14731, 14740, 14743, 14746, 14748, 14753, 14754, 14763, 14764, 14766, 14767, 14768, 14770, 14779, 14784, 14785, 14788, 14790, 14803, 14816, 14819, 14823, 14827, 14829, 14837, 14838, 14839, 14840, 14842, 14843, 14844, 14846, 14850, 14860, 14861, 14863, 14873, 14875, 14877, 14878, 14880, 14885, 14887, 14892, 14894, 14895, 14896, 14897, 14913, 14916, 14918, 14919, 14920, 14922, 14925, 14926, 14929, 14930, 14931, 14935, 14949, 14951, 14956, 14957, 14966, 14969, 14971, 14972, 14974, 14975, 14984, 14989, 14990, 14991, 14993, 15006, 15017, 15019, 15020, 15021, 15027, 15028, 15040, 15042, 15049, 15054, 15055, 15060, 15066, 15069, 15072, 15073, 15075, 15085, 15088, 15090, 15091, 15097, 15107, 15110, 15113, 15119, 15123, 15124, 15128, 15131, 15133, 15136, 15140, 15143, 15145, 15147, 15153, 15156, 15162, 15165, 15169, 15176, 15181, 15182, 15183, 15189, 15190, 15196, 15199, 15200, 15211, 15215, 15216, 15217, 15222, 15223, 15225, 15226, 15229, 15230, 15232, 15238, 15242, 15244, 15248, 15252, 15258, 15259, 15261, 15268, 15270, 15274, 15275, 15276, 15277, 15278, 15279, 15280, 15282, 15283, 15284, 15285, 15287, 15292, 15295, 15300, 15305, 15309, 15312, 15313, 15314, 15320, 15324, 15326, 15336, 15338, 15341, 15344, 15349, 15355, 15357, 15362, 15378, 15380, 15394, 15403, 15404, 15410, 15413, 15415, 15419, 15421, 15424, 15429, 15430, 15435, 15437, 15439, 15446, 15452, 15460, 15461, 15463, 15464, 15466, 15467, 15472, 15479, 15484, 15487, 15490, 15499, 15500, 15512, 15513, 15516, 15517, 15518, 15520, 15521, 15524, 15527, 15532, 15534, 15539, 15541, 15543, 15545, 15546, 15548, 15549, 15561, 15572, 15581, 15584, 15590, 15592, 15593, 15594, 15597, 15598, 15604, 15611, 15613, 15615, 15617, 15629, 15631, 15633, 15636, 15639, 15644, 15651, 15652, 15654, 15657, 15660, 15662, 15667, 15670, 15673, 15674, 15680, 15683, 15686, 15691, 15692, 15700, 15708, 15709, 15710, 15713, 15714, 15719, 15721, 15722, 15731, 15733, 15734, 15735, 15736, 15740, 15744, 15747, 15752, 15755, 15756, 15768, 15775, 15781, 15783, 15785, 15786, 15787, 15793, 15795, 15799, 15802, 15804, 15805, 15812, 15813, 15828, 15832, 15834, 15843, 15844, 15846, 15850, 15854, 15859, 15861, 15862, 15875, 15886, 15891, 15896, 15897, 15905, 15907, 15909, 15910, 15915, 15916, 15920, 15928, 15929, 15930, 15932, 15941, 15946, 15950, 15953, 15959, 15960, 15975, 15979, 15982, 15992, 15994, 15999, 16004, 16006, 16010, 16017, 16018, 16027, 16029, 16032, 16044, 16048, 16053, 16058, 16059, 16061, 16063, 16074, 16076, 16077, 16078, 16100, 16109, 16114, 16117, 16118, 16122, 16123, 16126, 16130, 16135, 16140, 16142, 16143, 16145, 16148, 16154, 16160, 16170, 16176, 16177, 16180, 16181, 16183, 16187, 16190, 16191, 16192, 16193, 16199, 16206, 16208, 16211, 16212, 16213, 16220, 16221, 16223, 16224, 16228, 16229, 16234, 16238, 16245, 16249, 16252, 16253, 16255, 16260, 16261, 16266, 16270, 16271, 16274, 16275, 16279, 16282, 16284, 16287, 16291, 16292, 16293, 16294, 16309, 16311, 16313, 16316, 16322, 16325, 16327, 16342, 16344, 16348, 16350, 16351, 16352, 16357, 16370, 16372, 16375, 16379, 16380, 16383, 16392, 16393, 16396, 16413, 16415, 16416, 16431, 16442, 16443, 16448, 16450, 16453, 16454, 16455, 16456, 16457, 16459, 16467, 16469, 16470, 16472, 16474, 16475, 16477, 16478, 16482, 16490, 16492, 16494, 16506, 16512, 16513, 16519, 16520, 16523, 16534, 16536, 16537, 16544, 16546, 16547, 16549, 16566, 16567, 16570, 16573, 16576, 16578, 16583, 16584, 16596, 16598, 16600, 16603, 16608, 16620, 16624, 16627, 16633, 16636, 16637, 16638, 16648, 16650, 16652, 16657, 16661, 16664, 16667, 16671, 16677, 16685, 16693, 16700, 16701, 16702, 16703, 16704, 16711, 16713, 16714, 16716, 16724, 16728, 16729, 16735, 16739, 16741, 16746, 16748, 16752]
Gap-uri:
[9, 5, 3, 4, 5, 1, 3, 1, 9, 2, 1, 5, 9, 20, 6, 1, 2, 3, 4, 1, 1, 1, 1, 2, 1, 1, 4, 2, 7, 12, 7, 1, 2, 1, 7, 1, 2, 3, 4, 3, 1, 1, 1, 1, 8, 3, 1, 4, 1, 2, 7, 5, 3, 1, 3, 4, 3, 6, 4, 6, 11, 4, 7, 1, 5, 2, 7, 1, 11, 2, 4, 1, 6, 2, 11, 9, 3, 1, 8, 2, 1, 5, 5, 1, 4, 8, 2, 3, 2, 1, 1, 2, 6, 6, 3, 8, 4, 2, 1, 1, 4, 13, 2, 6, 3, 3, 8, 16, 2, 4, 1, 9, 2, 2, 4, 10, 5, 2, 6, 9, 1, 4, 2, 6, 1, 2, 4, 5, 2, 1, 2, 4, 6, 3, 7, 2, 1, 8, 2, 2, 4, 8, 3, 2, 3, 5, 1, 1, 2, 3, 19, 2, 6, 2, 4, 5, 1, 9, 1, 2, 1, 4, 3, 2, 2, 7, 2, 7, 3, 13, 1, 1, 2, 6, 1, 4, 1, 3, 1, 5, 3, 5, 1, 7, 4, 2, 1, 1, 4, 1, 1, 4, 2, 4, 1, 2, 3, 5, 4, 3, 11, 6, 7, 3, 1, 4, 1, 6, 2, 4, 4, 2, 4, 1, 1, 3, 7, 1, 3, 4, 1, 2, 3, 2, 4, 1, 2, 3, 1, 3, 1, 6, 2, 3, 1, 1, 9, 5, 1, 2, 1, 4, 7, 1, 1, 1, 3, 2, 3, 3, 1, 2, 2, 3, 5, 1, 3, 2, 2, 8, 1, 1, 6, 1, 3, 6, 2, 2, 1, 6, 7, 2, 3, 7, 3, 2, 6, 2, 4, 3, 3, 1, 6, 9, 1, 2, 2, 1, 4, 4, 5, 4, 3, 8, 3, 2, 1, 12, 1, 1, 4, 6, 2, 1, 3, 5, 4, 1, 2, 2, 1, 7, 4, 1, 1, 9, 4, 11, 9, 11, 6, 4, 1, 3, 7, 1, 6, 3, 3, 2, 2, 14, 2, 11, 3, 5, 9, 9, 3, 1, 6, 2, 1, 8, 1, 1, 1, 1, 10, 6, 4, 1, 5, 2, 3, 1, 4, 5, 2, 1, 1, 5, 4, 4, 6, 5, 1, 1, 3, 1, 2, 3, 16, 3, 10, 5, 1, 11, 4, 12, 3, 1, 2, 5, 4, 2, 1, 5, 2, 1, 1, 7, 3, 3, 4, 2, 4, 4, 3, 3, 2, 1, 3, 1, 5, 7, 1, 1, 1, 2, 1, 3, 1, 1, 6, 1, 3, 3, 4, 3, 10, 4, 3, 10, 1, 1, 3, 2, 3, 3, 8, 5, 1, 11, 1, 2, 1, 3, 2, 1, 1, 3, 9, 1, 3, 4, 4, 4, 9, 11, 6, 1, 2, 3, 10, 4, 4, 1, 13, 5, 1, 6, 7, 7, 12, 4, 5, 2, 3, 1, 2, 3, 3, 7, 1, 2, 2, 1, 4, 2, 6, 1, 3, 8, 3, 17, 1, 4, 1, 4, 2, 20, 1, 1, 4, 4, 3, 4, 3, 6, 2, 4, 6, 1, 1, 2, 1, 7, 2, 4, 8, 8, 3, 1, 3, 3, 1, 1, 6, 8, 1, 1, 6, 1, 2, 2, 1, 14, 15, 1, 2, 7, 6, 3, 6, 5, 5, 1, 9, 4, 1, 2, 1, 1, 6, 5, 8, 2, 11, 1, 2, 12, 2, 3, 3, 4, 4, 4, 3, 2, 4, 2, 1, 5, 4, 2, 4, 2, 4, 1, 3, 9, 4, 5, 5, 6, 1, 6, 2, 2, 1, 4, 1, 4, 6, 2, 10, 7, 1, 5, 5, 3, 8, 1, 4, 3, 9, 1, 1, 3, 6, 4, 3, 2, 5, 7, 1, 1, 6, 7, 5, 1, 3, 5, 3, 2, 1, 6, 1, 7, 2, 2, 5, 2, 11, 3, 3, 2, 3, 5, 6, 2, 1, 5, 1, 5, 1, 6, 7, 2, 12, 10, 7, 3, 8, 1, 2, 5, 1, 1, 2, 2, 3, 2, 7, 6, 12, 8, 1, 5, 5, 14, 5, 2, 10, 1, 3, 6, 2, 1, 1, 1, 12, 2, 4, 7, 13, 8, 5, 4, 3, 1, 1, 1, 1, 5, 1, 20, 2, 1, 2, 6, 6, 4, 4, 7, 1, 2, 3, 3, 2, 3, 1, 1, 7, 5, 2, 5, 17, 4, 1, 2, 2, 2, 4, 8, 1, 4, 3, 6, 1, 5, 2, 4, 7, 1, 2, 3, 9, 3, 2, 1, 1, 5, 8, 1, 1, 1, 1, 5, 6, 1, 1, 6, 6, 1, 11, 1, 5, 3, 20, 1, 2, 3, 7, 8, 12, 10, 5, 6, 1, 1, 4, 2, 4, 3, 3, 3, 1, 1, 2, 2, 1, 2, 6, 1, 2, 3, 3, 4, 1, 5, 1, 1, 1, 4, 2, 2, 2, 10, 1, 4, 1, 2, 2, 4, 4, 11, 1, 2, 1, 4, 11, 1, 6, 2, 3, 4, 2, 5, 2, 3, 1, 6, 1, 3, 10, 7, 9, 12, 4, 3, 2, 9, 1, 1, 2, 1, 3, 1, 7, 6, 4, 3, 1, 5, 5, 1, 3, 2, 16, 4, 1, 5, 5, 1, 3, 3, 1, 1, 1, 3, 4, 3, 1, 5, 3, 2, 2, 4, 3, 5, 1, 1, 2, 4, 2, 3, 7, 1, 1, 2, 3, 5, 4, 1, 2, 2, 3, 2, 4, 3, 2, 2, 1, 4, 8, 1, 4, 1, 1, 5, 6, 3, 3, 5, 2, 17, 1, 5, 13, 5, 6, 4, 2, 2, 1, 7, 7, 4, 2, 2, 4, 1, 2, 2, 17, 2, 1, 6, 7, 1, 2, 13, 3, 1, 1, 1, 2, 1, 2, 1, 1, 12, 5, 2, 6, 3, 1, 2, 4, 4, 1, 4, 5, 8, 4, 7, 1, 12, 1, 13, 2, 2, 3, 1, 4, 3, 4, 1, 4, 1, 1, 4, 2, 1, 1, 1, 1, 2, 2, 7, 4, 2, 7, 5, 1, 8, 1, 1, 6, 5, 2, 9, 1, 10, 8, 3, 5, 1, 3, 3, 2, 2, 4, 5, 4, 2, 5, 4, 9, 2, 10, 1, 4, 8, 2, 1, 1, 12, 7, 5, 9, 1, 7, 2, 6, 5, 3, 2, 2, 4, 6, 1, 2, 4, 4, 6, 6, 1, 11, 2, 3, 3, 7, 1, 1, 2, 6, 1, 5, 1, 7, 7, 2, 3, 1, 15, 1, 1, 1, 1, 10, 5, 4, 1, 3, 7, 7, 1, 1, 3, 2, 3, 3, 1, 2, 3, 2, 6, 7, 4, 5, 4, 4, 1, 2, 7, 3, 1, 3, 6, 1, 3, 5, 2, 1, 1, 4, 1, 2, 3, 10, 2, 5, 8, 1, 1, 2, 6, 2, 3, 2, 2, 2, 11, 2, 1, 4, 3, 12, 1, 3, 6, 1, 1, 1, 2, 3, 8, 12, 3, 5, 5, 1, 10, 10, 3, 4, 3, 1, 1, 2, 7, 2, 2, 3, 2, 12, 2, 6, 6, 2, 2, 2, 6, 19, 2, 5, 3, 1, 3, 4, 1, 7, 7, 7, 3, 1, 2, 3, 6, 1, 7, 9, 4, 3, 1, 1, 12, 2, 14, 9, 1, 4, 4, 4, 1, 1, 1, 2, 3, 3, 14, 2, 7, 8, 3, 4, 1, 1, 4, 5, 2, 1, 12, 7, 5, 3, 5, 1, 3, 3, 2, 3, 8, 10, 1, 1, 9, 2, 4, 3, 4, 3, 7, 2, 1, 5, 7, 12, 2, 12, 4, 4, 5, 2, 1, 3, 1, 1, 7, 9, 1, 9, 9, 1, 5, 4, 3, 1, 1, 4, 1, 1, 6, 1, 2, 5, 3, 1, 7, 4, 3, 3, 3, 6, 2, 6, 7, 4, 5, 17, 2, 1, 1, 1, 4, 1, 3, 2, 2, 4, 2, 6, 1, 7, 2, 4, 3, 1, 2, 2, 1, 1, 5, 15, 1, 5, 5, 2, 1, 1, 5, 13, 4, 1, 2, 5, 5, 1, 1, 4, 1, 7, 1, 3, 7, 2, 2, 5, 2, 5, 4, 9, 2, 4, 1, 2, 3, 2, 1, 3, 5, 3, 6, 1, 5, 10, 4, 3, 3, 8, 12, 1, 3, 2, 1, 1, 6, 1, 6, 9, 3, 3, 1, 14, 8, 6, 10, 5, 3, 1, 4, 2, 1, 1, 8, 5, 1, 1, 2, 2, 2, 1, 14, 6, 1, 10, 4, 8, 7, 1, 1, 6, 10, 1, 2, 4, 3, 2, 1, 2, 2, 16, 10, 2, 3, 6, 2, 4, 13, 1, 1, 2, 1, 5, 2, 5, 1, 5, 5, 5, 1, 2, 6, 22, 11, 2, 1, 8, 12, 7, 2, 3, 3, 6, 4, 22, 2, 6, 1, 2, 12, 2, 7, 4, 1, 4, 4, 4, 2, 1, 1, 6, 1, 1, 9, 2, 1, 3, 5, 13, 3, 7, 2, 3, 8, 1, 8, 4, 2, 8, 1, 1, 1, 5, 1, 1, 7, 3, 13, 2, 1, 1, 2, 4, 3, 4, 1, 3, 5, 1, 3, 1, 2, 7, 1, 1, 1, 4, 1, 1, 10, 8, 3, 8, 2, 1, 5, 2, 2, 1, 2, 4, 4, 1, 3, 2, 7, 13, 5, 3, 1, 9, 2, 1, 3, 1, 5, 1, 3, 2, 1, 4, 5, 1, 4, 5, 7, 8, 1, 3, 17, 3, 9, 4, 6, 1, 2, 2, 2, 5, 5, 1, 1, 4, 7, 1, 3, 5, 1, 2, 1, 3, 2, 2, 2, 3, 11, 8, 4, 2, 1, 1, 7, 2, 1, 5, 3, 11, 8, 6, 4, 4, 5, 5, 16, 2, 3, 7, 1, 11, 5, 4, 2, 2, 5, 14, 3, 4, 12, 7, 2, 3, 4, 4, 14, 6, 3, 5, 2, 2, 2, 1, 1, 12, 1, 13, 1, 2, 2, 1, 9, 4, 4, 4, 3, 6, 2, 1, 1, 4, 4, 2, 4, 1, 5, 10, 4, 4, 13, 3, 6, 2, 10, 6, 3, 3, 2, 8, 4, 3, 3, 2, 2, 1, 1, 5, 2, 7, 3, 1, 2, 2, 1, 3, 2, 7, 23, 1, 1, 1, 4, 1, 16, 1, 6, 2, 5, 1, 4, 1, 5, 4, 2, 13, 4, 5, 7, 6, 13, 1, 4, 2, 1, 4, 2, 5, 2, 1, 2, 7, 5, 3, 4, 6, 5, 4, 4, 5, 2, 1, 3, 4, 10, 1, 5, 5, 4, 1, 7, 2, 6, 2, 5, 6, 1, 2, 3, 3, 1, 2, 6, 1, 6, 1, 21, 3, 1, 3, 1, 6, 6, 3, 3, 6, 6, 3, 1, 1, 3, 4, 1, 2, 5, 26, 5, 5, 12, 6, 1, 1, 2, 1, 2, 5, 12, 4, 2, 1, 3, 1, 2, 2, 2, 7, 3, 8, 1, 4, 1, 3, 1, 2, 4, 1, 1, 5, 1, 2, 4, 7, 5, 1, 2, 1, 2, 1, 4, 10, 1, 1, 1, 2, 6, 4, 1, 4, 5, 1, 2, 11, 2, 10, 2, 11, 2, 2, 4, 7, 2, 5, 1, 7, 2, 3, 6, 15, 5, 13, 1, 2, 5, 1, 1, 5, 1, 7, 9, 1, 1, 5, 4, 2, 7, 2, 2, 2, 9, 1, 3, 8, 16, 6, 1, 3, 6, 1, 1, 6, 8, 1, 7, 8, 3, 2, 2, 5, 3, 1, 6, 4, 5, 7, 3, 1, 3, 1, 7, 4, 1, 2, 2, 4, 5, 7, 7, 1, 5, 1, 13, 5, 3, 7, 3, 1, 2, 1, 7, 2, 1, 4, 1, 1, 2, 3, 7, 1, 7, 5, 1, 3, 1, 3, 5, 11, 1, 7, 5, 1, 4, 10, 7, 1, 2, 1, 1, 5, 4, 5, 1, 1, 3, 1, 1, 2, 4, 1, 5, 4, 5, 4, 2, 1, 2, 2, 1, 5, 1, 7, 1, 13, 6, 5, 2, 10, 10, 9, 1, 1, 11, 4, 3, 1, 2, 4, 1, 1, 6, 9, 3, 3, 7, 2, 2, 2, 1, 7, 4, 12, 2, 1, 1, 6, 1, 2, 7, 2, 3, 13, 1, 4, 2, 1, 1, 4, 2, 8, 7, 2, 1, 2, 1, 7, 1, 2, 3, 10, 4, 4, 2, 4, 3, 2, 7, 1, 1, 2, 2, 1, 7, 5, 8, 10, 14, 2, 1, 12, 6, 3, 6, 3, 4, 8, 6, 1, 2, 1, 11, 2, 8, 2, 6, 4, 2, 1, 1, 3, 6, 6, 5, 4, 3, 14, 4, 4, 8, 4, 11, 1, 6, 2, 1, 1, 3, 5, 3, 1, 2, 8, 5, 1, 2, 5, 2, 3, 4, 5, 22, 2, 2, 7, 11, 5, 1, 6, 2, 4, 7, 1, 1, 3, 2, 3, 11, 1, 7, 4, 2, 1, 4, 6, 2, 6, 4, 1, 5, 4, 3, 3, 3, 1, 2, 2, 1, 3, 5, 2, 1, 2, 1, 4, 3, 7, 6, 1, 1, 1, 5, 1, 3, 14, 3, 2, 3, 5, 4, 3, 3, 1, 1, 3, 1, 6, 3, 4, 26, 6, 11, 10, 2, 11, 4, 5, 1, 3, 2, 2, 5, 3, 2, 1, 1, 1, 1, 9, 4, 4, 9, 1, 1, 1, 1, 2, 3, 1, 3, 2, 2, 5, 1, 6, 6, 1, 4, 5, 6, 1, 6, 3, 3, 2, 14, 5, 5, 10, 2, 4, 6, 1, 3, 1, 4, 6, 1, 1, 4, 1, 2, 4, 1, 1, 2, 8, 7, 1, 1, 2, 1, 4, 5, 2, 1, 1, 1, 3, 2, 5, 1, 6, 5, 1, 8, 2, 2, 1, 5, 1, 7, 3, 2, 2, 7, 1, 3, 1, 2, 8, 8, 5, 2, 5, 2, 3, 9, 1, 2, 5, 2, 1, 4, 1, 2, 2, 2, 2, 3, 4, 6, 1, 5, 1, 5, 3, 4, 5, 3, 1, 2, 4, 1, 2, 1, 1, 2, 5, 1, 13, 2, 2, 7, 3, 5, 2, 8, 3, 3, 2, 8, 4, 21, 4, 5, 1, 2, 6, 2, 1, 7, 7, 2, 3, 1, 5, 7, 1, 1, 9, 4, 1, 5, 6, 3, 4, 4, 4, 1, 5, 1, 2, 1, 7, 1, 4, 6, 2, 8, 2, 1, 4, 3, 6, 5, 1, 5, 4, 4, 7, 1, 1, 1, 4, 7, 1, 13, 1, 2, 1, 2, 2, 10, 4, 3, 1, 8, 5, 7, 1, 3, 11, 2, 2, 1, 1, 1, 2, 1, 5, 3, 1, 3, 3, 2, 7, 3, 6, 13, 6, 3, 2, 2, 1, 4, 2, 1, 2, 2, 3, 6, 1, 7, 3, 2, 3, 16, 3, 15, 1, 4, 7, 6, 3, 2, 1, 5, 5, 1, 5, 4, 19, 2, 2, 1, 3, 7, 2, 1, 6, 1, 4, 5, 3, 2, 1, 9, 4, 2, 3, 6, 6, 1, 2, 11, 11, 3, 3, 19, 3, 6, 3, 6, 1, 2, 6, 1, 3, 5, 2, 2, 8, 2, 2, 2, 7, 7, 6, 1, 1, 10, 5, 1, 1, 3, 4, 6, 2, 2, 9, 3, 2, 5, 2, 3, 3, 7, 4, 1, 7, 9, 1, 2, 2, 7, 4, 7, 2, 1, 7, 10, 4, 1, 1, 19, 8, 6, 1, 5, 1, 3, 8, 14, 3, 3, 1, 2, 3, 4, 3, 1, 7, 2, 2, 4, 6, 5, 3, 1, 1, 1, 8, 1, 8, 1, 5, 1, 12, 8, 2, 2, 2, 6, 2, 3, 1, 7, 1, 1, 1, 7, 3, 5, 2, 1, 1, 2, 1, 5, 6, 1, 6, 2, 1, 2, 1, 4, 3, 11, 5, 3, 8, 1, 6, 1, 3, 1, 3, 18, 1, 6, 2, 3, 1, 8, 4, 2, 2, 1, 2, 5, 2, 3, 1, 3, 3, 12, 4, 2, 1, 2, 2, 3, 1, 1, 6, 5, 17, 8, 1, 3, 2, 4, 2, 1, 3, 7, 1, 1, 3, 1, 2, 3, 5, 3, 4, 7, 1, 4, 6, 5, 1, 3, 4, 1, 4, 6, 1, 3, 2, 1, 3, 6, 3, 9, 1, 1, 1, 1, 11, 3, 1, 3, 1, 2, 2, 5, 4, 3, 1, 10, 12, 4, 1, 5, 1, 4, 1, 1, 3, 10, 9, 6, 2, 6, 1, 4, 1, 1, 1, 1, 3, 5, 11, 2, 1, 1, 8, 7, 8, 2, 1, 5, 7, 1, 1, 11, 4, 10, 5, 6, 6, 5, 4, 1, 9, 1, 1, 1, 1, 6, 9, 3, 10, 6, 7, 7, 4, 4, 1, 6, 8, 1, 7, 5, 2, 1, 3, 5, 7, 2, 2, 9, 7, 2, 4, 5, 1, 1, 2, 3, 1, 4, 9, 5, 8, 1, 7, 1, 4, 16, 6, 6, 1, 10, 3, 2, 1, 7, 4, 2, 4, 3, 2, 12, 6, 7, 4, 8, 11, 2, 5, 1, 3, 4, 2, 1, 6, 1, 5, 13, 3, 7, 2, 3, 3, 1, 4, 9, 12, 2, 8, 2, 1, 6, 8, 6, 4, 3, 9, 1, 2, 1, 2, 14, 1, 4, 4, 3, 7, 6, 4, 10, 8, 2, 2, 1, 1, 1, 18, 9, 2, 1, 2, 2, 3, 2, 1, 11, 4, 3, 3, 3, 5, 2, 7, 2, 1, 1, 7, 4, 5, 1, 5, 1, 1, 3, 1, 1, 5, 6, 6, 4, 2, 2, 1, 3, 3, 1, 3, 2, 3, 4, 1, 2, 7, 3, 4, 5, 8, 1, 5, 2, 6, 10, 6, 4, 1, 4, 4, 3, 7, 1, 1, 2, 1, 6, 3, 3, 4, 4, 7, 4, 4, 3, 9, 12, 3, 1, 1, 1, 1, 1, 2, 3, 5, 2, 2, 7, 5, 4, 5, 1, 16, 9, 5, 3, 2, 4, 3, 3, 1, 5, 2, 7, 3, 2, 3, 3, 2, 1, 1, 1, 1, 2, 2, 2, 3, 5, 1, 1, 2, 4, 1, 5, 2, 10, 5, 2, 2, 4, 5, 1, 5, 1, 5, 8, 5, 1, 8, 6, 8, 2, 2, 3, 6, 1, 2, 1, 3, 1, 15, 3, 2, 6, 5, 2, 1, 12, 4, 2, 1, 5, 1, 10, 1, 9, 5, 5, 4, 5, 31, 5, 3, 7, 3, 11, 4, 9, 2, 1, 4, 9, 11, 4, 2, 7, 8, 6, 1, 3, 3, 13, 2, 7, 2, 10, 2, 1, 3, 6, 9, 8, 4, 4, 3, 13, 9, 6, 4, 1, 5, 1, 13, 3, 2, 6, 1, 1, 11, 3, 7, 1, 4, 8, 5, 6, 6, 6, 6, 1, 2, 1, 3, 4, 7, 2, 1, 4, 8, 2, 5, 1, 1, 3, 7, 1, 3, 8, 2, 5, 1, 5, 11, 5, 12, 1, 1, 5, 2, 8, 5, 1, 2, 3, 5, 1, 4, 3, 1, 2, 2, 1, 3, 8, 5, 1, 4, 2, 4, 10, 6, 3, 5, 1, 7, 2, 16, 5, 1, 3, 11, 2, 8, 3, 9, 7, 4, 5, 9, 1, 1, 10, 2, 3, 13, 1, 4, 4, 4, 2, 5, 1, 5, 4, 4, 1, 4, 7, 1, 2, 4, 3, 3, 1, 2, 2, 3, 14, 1, 1, 2, 6, 9, 1, 3, 6, 2, 1, 8, 2, 2, 1, 7, 1, 1, 2, 3, 3, 2, 4, 1, 2, 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 8, 4, 5, 5, 1, 5, 4, 5, 2, 2, 10, 1, 2, 3, 6, 3, 4, 2, 4, 3, 10, 1, 5, 1, 3, 1, 1, 4, 4, 2, 2, 4, 1, 1, 13, 3, 4, 8, 9, 4, 4, 3, 8, 3, 5, 1, 3, 2, 1, 1, 6, 2, 2, 9, 1, 2, 5, 3, 5, 3, 4, 3, 2, 1, 5, 11, 1, 3, 5, 16, 2, 9, 2, 2, 3, 2, 1, 1, 1, 2, 6, 2, 6, 6, 3, 2, 3, 18, 3, 2, 9, 10, 1, 4, 1, 3, 3, 2, 2, 5, 2, 1, 3, 6, 9, 1, 2, 2, 12, 2, 1, 2, 1, 1, 3, 3, 1, 2, 3, 5, 3, 2, 16, 7, 6, 3, 1, 2, 6, 11, 2, 14, 12, 3, 1, 13, 2, 6, 3, 11, 2, 5, 1, 3, 4, 2, 2, 5, 8, 3, 1, 5, 6, 2, 5, 4, 1, 1, 3, 6, 3, 10, 7, 1, 5, 5, 1, 5, 5, 2, 1, 3, 4, 4, 1, 7, 1, 2, 12, 2, 5, 2, 4, 2, 1, 1, 8, 21, 3, 18, 3, 16, 3, 6, 6, 1, 3, 1, 3, 5, 3, 5, 5, 3, 2, 2, 8, 2, 4, 3, 3, 2, 4, 2, 1, 4, 9, 2, 5, 2, 2, 1, 10, 3, 5, 3, 3, 6, 1, 6, 3, 5, 2, 7, 2, 2, 1, 3, 2, 7, 1, 6, 9, 4, 3, 1, 3, 1, 10, 1, 1, 5, 1, 1, 2, 1, 2, 3, 7, 1, 2, 1, 1, 7, 4, 4, 4, 3, 8, 1, 7, 3, 1, 7, 4, 4, 3, 3, 10, 9, 4, 4, 1, 4, 5, 2, 8, 3, 18, 5, 1, 3, 5, 4, 2, 9, 1, 8, 4, 6, 8, 1, 6, 7, 1, 3, 8, 2, 3, 3, 1, 11, 1, 3, 1, 2, 5, 3, 2, 1, 5, 5, 6, 1, 3, 2, 9, 1, 3, 5, 2, 2, 1, 2, 3, 1, 1, 7, 1, 1, 11, 15, 11, 3, 6, 3, 3, 1, 7, 2, 4, 9, 3, 3, 2, 5, 1, 7, 5, 1, 6, 1, 1, 4, 6, 1, 2, 2, 4, 4, 2, 4, 2, 2, 5, 1, 1, 9, 2, 4, 1, 5, 3, 1, 2, 4, 10, 1, 4, 5, 8, 3, 2, 11, 1, 1, 14, 3, 7, 20, 1, 6, 1, 2, 4, 8, 14, 3, 6, 1, 2, 4, 2, 3, 5, 2, 1, 3, 1, 3, 2, 1, 7, 5, 3, 5, 5, 6, 1, 3, 4, 1, 6, 4, 5, 6, 2, 7, 1, 5, 1, 3, 2, 2, 1, 10, 2, 7, 3, 1, 1, 1, 2, 8, 7, 5, 1, 6, 5, 1, 13, 7, 7, 3, 4, 1, 2, 3, 4, 3, 2, 8, 3, 3, 6, 1, 9, 3, 2, 5, 3, 1, 3, 2, 1, 3, 5, 1, 1, 7, 1, 18, 1, 1, 2, 1, 2, 1, 6, 1, 10, 3, 1, 2, 3, 6, 7, 4, 3, 2, 7, 1, 4, 1, 1, 1, 3, 3, 1, 1, 5, 3, 1, 6, 5, 1, 1, 2, 4, 4, 1, 1, 5, 1, 1, 6, 3, 3, 4, 8, 1, 3, 1, 5, 2, 4, 1, 6, 2, 6, 4, 1, 5, 7, 2, 4, 9, 3, 3, 2, 5, 1, 9, 1, 2, 1, 1, 2, 9, 5, 1, 3, 2, 13, 13, 3, 4, 4, 2, 8, 1, 1, 1, 2, 1, 1, 2, 4, 10, 1, 2, 10, 2, 2, 1, 2, 5, 2, 5, 2, 1, 1, 1, 16, 3, 2, 1, 1, 2, 3, 1, 3, 1, 1, 4, 14, 2, 5, 1, 9, 3, 2, 1, 2, 1, 9, 5, 1, 1, 2, 13, 11, 2, 1, 1, 6, 1, 12, 2, 7, 5, 1, 5, 6, 3, 3, 1, 2, 10, 3, 2, 1, 6, 10, 3, 3, 6, 4, 1, 4, 3, 2, 3, 4, 3, 2, 2, 6, 3, 6, 3, 4, 7, 5, 1, 1, 6, 1, 6, 3, 1, 11, 4, 1, 1, 5, 1, 2, 1, 3, 1, 2, 6, 4, 2, 4, 4, 6, 1, 2, 7, 2, 4, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 3, 5, 5, 4, 3, 1, 1, 6, 4, 2, 10, 2, 3, 3, 5, 6, 2, 5, 16, 2, 14, 9, 1, 6, 3, 2, 4, 2, 3, 5, 1, 5, 2, 2, 7, 6, 8, 1, 2, 1, 2, 1, 5, 7, 5, 3, 3, 9, 1, 12, 1, 3, 1, 1, 2, 1, 3, 3, 5, 2, 5, 2, 2, 2, 1, 2, 1, 12, 11, 9, 3, 6, 2, 1, 1, 3, 1, 6, 7, 2, 2, 2, 12, 2, 2, 3, 3, 5, 7, 1, 2, 3, 3, 2, 5, 3, 3, 1, 6, 3, 3, 5, 1, 8, 8, 1, 1, 3, 1, 5, 2, 1, 9, 2, 1, 1, 1, 4, 4, 3, 5, 3, 1, 12, 7, 6, 2, 2, 1, 1, 6, 2, 4, 3, 2, 1, 7, 1, 15, 4, 2, 9, 1, 2, 4, 4, 5, 2, 1, 13, 11, 5, 5, 1, 8, 2, 2, 1, 5, 1, 4, 8, 1, 1, 2, 9, 5, 4, 3, 6, 1, 15, 4, 3, 10, 2, 5, 5, 2, 4, 7, 1, 9, 2, 3, 12, 4, 5, 5, 1, 2, 2, 11, 2, 1, 1, 22, 9, 5, 3, 1, 4, 1, 3, 4, 5, 5, 2, 1, 2, 3, 6, 6, 10, 6, 1, 3, 1, 2, 4, 3, 1, 1, 1, 6, 7, 2, 3, 1, 1, 7, 1, 2, 1, 4, 1, 5, 4, 7, 4, 3, 1, 2, 5, 1, 5, 4, 1, 3, 1, 4, 3, 2, 3, 4, 1, 1, 1, 15, 2, 2, 3, 6, 3, 2, 15, 2, 4, 2, 1, 1, 5, 13, 2, 3, 4, 1, 3, 9, 1, 3, 17, 2, 1, 15, 11, 1, 5, 2, 3, 1, 1, 1, 1, 2, 8, 2, 1, 2, 2, 1, 2, 1, 4, 8, 2, 2, 12, 6, 1, 6, 1, 3, 11, 2, 1, 7, 2, 1, 2, 17, 1, 3, 3, 3, 2, 5, 1, 12, 2, 2, 3, 5, 12, 4, 3, 6, 3, 1, 1, 10, 2, 2, 5, 4, 3, 3, 4, 6, 8, 8, 7, 1, 1, 1, 1, 7, 2, 1, 2, 8, 4, 1, 6, 4, 2, 5, 2, 4]