LotoPolo Stats — Pattern Analysis

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

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

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

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

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

⚠️ Disclaimer onest: Improvement-urile sunt mici în absolut (sub 1 pp). Nu garantează câștig — ridică doar probabilitatea cu ~17% relativ peste hazard pe sys 2. Loto rămâne fundamental aleator. Sistemul ajută la informare, nu la siguranță.
SYS 1/1
16,754
80 combos · 100% of 16,754
SYS 2/2
16,754
3,160 combos · 100% of 16,754
SYS 3/3
16,754
82,173 combos · 100% of 16,754
SYS 4/4
16,754
1,470,317 combos · 100% of 16,754
SYS 5/5
6,000
22,900,590 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 📍 Recent
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 #16 = {17} random

Descriptive

Apariții
4125
Mean ± std
4.06 ± 3.59
CV (std/mean)
0.883
Min/Max gap
1 / 31
Last seen
16754 (gap actual: 0)

Percentile gap-uri

P25 / mediana / P75
2 / 3 / 5
P90 / P95
9 / 11.8
IQR
3

Streaks & Pattern

Hot streak (consecutive)
7
Cold streak (max absență)
31
Autocorrelation lag-1
0.012
Drift (h2-h1)
0.09
Best period T
T=20 (entropy=0.001)

Overdue Status

Current gap
0
vs mean (z-score)
-1.13 σ
vs P95
0x

Statistical Test (Chi-square)

chi²
58.69
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2887 / 1238 apariții
Mean train
4.06
MAE
2.58
Accuracy
36.4%
Erori per pred
[1,1,3,3,2,1,1,2,1,12,1,2,3,0,5,2,1,3,3,2,0,10,2,0,0,2,0,2,2,3,3,3,2,3,3,9,0,2,4,0,1,0,2,4,3,3,1,3,2,3,2,3,1,1,1,1,0,2,0,2,3,0,3,3,3,0,0,2,1,9,2,3,16,0,3,3,2,2,2,4,3,3,1,0,1,1,1,1,1,8,8,1,2,2,1,2,3,1,2,1,2,2,3,3,3,7,1,4,2,1,2,2,3,0,1,3,3,1,10,2,1,0,1,1,3,7,2,10,3,3,2,1,1,2,0,2,2,2,0,3,2,2,3,10,1,4,2,2,1,1,3,1,1,2,2,6,3,3,2,4,11,3,0,3,6,1,4,1,3,1,2,3,3,3,3,0,3,5,3,3,1,11,3,3,2,1,2,3,1,3,3,2,2,4,0,2,5,1,2,2,0,2,3,1,0,7,3,2,2,3,1,0,2,3,1,2,1,1,3,3,3,2,1,15,1,0,3,3,2,3,13,1,3,1,2,0,5,1,3,1,2,3,0,2,1,1,1,1,2,2,3,3,1,2,1,2,1,2,2,2,1,1,1,0,2,2,17,1,3,3,2,3,1,3,1,1,2,1,1,5,2,9,3,2,3,0,2,3,12,0,2,1,1,1,2,6,1,1,0,3,3,3,1,2,2,2,2,1,3,9,1,21,2,2,1,0,3,0,2,2,3,2,8,3,2,2,5,2,3,10,7,1,2,3,2,4,1,1,3,2,3,3,2,1,3,4,3,1,2,3,4,1,3,2,0,3,2,2,2,3,1,1,2,1,2,2,8,1,0,0,1,5,9,3,8,3,0,3,2,2,1,3,0,1,7,2,1,2,3,2,3,3,5,2,2,3,3,1,3,17,5,2,2,0,0,2,3,2,3,1,3,0,3,3,3,3,0,1,3,2,1,0,0,2,3,1,0,1,6,1,3,7,11,1,2,1,7,2,3,2,0,1,0,1,0,14,2,3,0,3,2,1,1,3,3,4,2,3,5,1,1,3,3,1,0,2,3,0,2,1,1,2,3,3,2,0,2,3,0,3,3,3,9,3,1,2,2,0,2,0,3,2,3,3,3,0,7,3,2,1,3,0,1,1,5,1,2,2,1,5,3,3,3,0,3,2,0,9,1,1,8,0,3,9,2,2,1,0,2,3,1,3,3,2,4,3,2,3,4,0,1,1,0,0,1,3,3,2,2,2,3,2,8,3,3,0,3,4,1,2,6,2,2,1,1,0,1,3,2,1,3,7,5,10,3,2,0,7,3,2,8,1,2,0,1,10,2,2,3,1,3,2,2,17,1,9,2,0,1,1,3,0,2,3,3,0,2,0,2,3,0,3,3,1,0,2,0,4,6,3,2,3,3,3,2,1,1,2,3,1,13,3,3,4,1,1,3,1,3,3,4,3,0,2,3,4,10,4,2,3,1,7,3,3,3,2,1,2,1,1,1,6,1,2,2,3,2,3,1,2,2,1,2,3,2,1,0,3,0,3,1,1,3,5,3,4,1,3,3,8,3,3,4,1,1,3,1,5,3,3,3,3,1,1,1,3,1,1,2,3,3,5,3,2,3,3,1,2,2,2,3,2,1,2,4,2,3,4,9,2,1,7,3,7,3,1,3,1,2,3,2,3,2,2,2,1,3,2,5,2,2,3,0,2,0,1,3,2,1,2,5,4,4,5,3,3,3,5,1,1,3,3,2,1,1,6,1,2,2,5,2,1,0,1,1,9,10,3,0,3,3,1,3,2,2,1,6,0,3,1,2,2,10,6,9,1,3,3,3,2,2,2,1,3,3,1,2,0,2,2,2,1,2,3,1,2,3,3,1,4,2,1,1,4,1,1,2,1,3,3,3,2,2,1,3,3,2,3,1,0,1,3,2,2,2,2,3,0,2,3,2,3,3,6,1,3,3,8,1,3,1,1,8,0,2,3,1,1,1,3,3,2,1,2,8,3,2,4,26,3,3,1,2,2,1,1,2,4,1,3,1,3,2,3,3,1,2,3,3,0,2,1,3,7,0,18,3,3,3,3,1,4,2,2,0,1,2,1,2,2,2,2,2,3,1,3,1,1,1,1,1,1,2,1,3,1,3,2,3,1,13,0,1,3,8,3,2,0,3,2,5,1,7,5,2,3,3,3,2,2,2,2,10,3,2,3,3,2,2,7,0,2,12,3,1,3,1,3,3,0,1,1,3,2,2,7,2,1,1,3,3,2,3,1,3,3,3,3,3,0,5,1,2,2,0,3,0,1,1,1,2,3,1,3,5,3,1,1,0,1,2,3,2,3,2,2,1,2,0,1,2,1,1,1,3,1,0,2,11,2,2,3,2,3,2,3,0,2,3,2,5,3,2,3,3,2,1,4,17,3,0,2,3,5,3,2,1,2,3,1,3,2,3,4,8,4,1,2,3,1,1,2,3,2,4,3,3,0,0,2,3,2,1,2,2,9,8,4,3,3,2,3,3,2,1,4,3,2,2,0,3,3,2,3,8,1,1,2,8,2,10,2,0,1,0,3,3,2,0,0,2,1,0,2,2,2,3,2,1,1,2,2,1,1,0,14,1,7,1,6,7,1,10,2,1,2,2,1,3,2,1,15,3,1,4,1,1,0,2,0,2,0,3,3,1,2,0,0,9,0,3,0,2,3,1,2,1,1,18,9,1,2,3,2,3,0,1,2,1,1,2,1,1,8,3,3,2,1,0,1,2,12,1,1,2,2,2,0,1,1,1,3,1,2,0,1,0,3]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.559
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.364
Total: 56.3%

🎯 Predicție următoarea apariție

Most likely
draw #16758
±1 sigma window
[16755..16762]
P25-P95 window
[16756..16766]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 20 apariții Extrageri 84-167: 24 apariții Extrageri 168-251: 16 apariții Extrageri 252-335: 22 apariții Extrageri 336-418: 23 apariții Extrageri 419-502: 18 apariții Extrageri 503-586: 21 apariții Extrageri 587-670: 16 apariții Extrageri 671-753: 13 apariții Extrageri 754-837: 16 apariții Extrageri 838-921: 20 apariții Extrageri 922-1005: 27 apariții Extrageri 1006-1089: 16 apariții Extrageri 1090-1172: 21 apariții Extrageri 1173-1256: 19 apariții Extrageri 1257-1340: 21 apariții Extrageri 1341-1424: 18 apariții Extrageri 1425-1507: 26 apariții Extrageri 1508-1591: 18 apariții Extrageri 1592-1675: 19 apariții Extrageri 1676-1759: 16 apariții Extrageri 1760-1842: 27 apariții Extrageri 1843-1926: 26 apariții Extrageri 1927-2010: 26 apariții Extrageri 2011-2094: 17 apariții Extrageri 2095-2178: 25 apariții Extrageri 2179-2261: 26 apariții Extrageri 2262-2345: 22 apariții Extrageri 2346-2429: 26 apariții Extrageri 2430-2513: 23 apariții Extrageri 2514-2596: 25 apariții Extrageri 2597-2680: 22 apariții Extrageri 2681-2764: 27 apariții Extrageri 2765-2848: 22 apariții Extrageri 2849-2931: 19 apariții Extrageri 2932-3015: 21 apariții Extrageri 3016-3099: 8 apariții Extrageri 3100-3183: 21 apariții Extrageri 3184-3267: 17 apariții Extrageri 3268-3350: 15 apariții Extrageri 3351-3434: 17 apariții Extrageri 3435-3518: 23 apariții Extrageri 3519-3602: 20 apariții Extrageri 3603-3685: 22 apariții Extrageri 3686-3769: 25 apariții Extrageri 3770-3853: 15 apariții Extrageri 3854-3937: 22 apariții Extrageri 3938-4020: 25 apariții Extrageri 4021-4104: 22 apariții Extrageri 4105-4188: 23 apariții Extrageri 4189-4272: 15 apariții Extrageri 4273-4356: 18 apariții Extrageri 4357-4439: 20 apariții Extrageri 4440-4523: 16 apariții Extrageri 4524-4607: 16 apariții Extrageri 4608-4691: 18 apariții Extrageri 4692-4774: 27 apariții Extrageri 4775-4858: 23 apariții Extrageri 4859-4942: 25 apariții Extrageri 4943-5026: 26 apariții Extrageri 5027-5109: 19 apariții Extrageri 5110-5193: 21 apariții Extrageri 5194-5277: 21 apariții Extrageri 5278-5361: 33 apariții Extrageri 5362-5445: 28 apariții Extrageri 5446-5528: 21 apariții Extrageri 5529-5612: 17 apariții Extrageri 5613-5696: 20 apariții Extrageri 5697-5780: 21 apariții Extrageri 5781-5863: 19 apariții Extrageri 5864-5947: 25 apariții Extrageri 5948-6031: 21 apariții Extrageri 6032-6115: 20 apariții Extrageri 6116-6198: 17 apariții Extrageri 6199-6282: 26 apariții Extrageri 6283-6366: 14 apariții Extrageri 6367-6450: 26 apariții Extrageri 6451-6534: 19 apariții Extrageri 6535-6617: 20 apariții Extrageri 6618-6701: 19 apariții Extrageri 6702-6785: 19 apariții Extrageri 6786-6869: 24 apariții Extrageri 6870-6952: 21 apariții Extrageri 6953-7036: 16 apariții Extrageri 7037-7120: 28 apariții Extrageri 7121-7204: 19 apariții Extrageri 7205-7287: 22 apariții Extrageri 7288-7371: 22 apariții Extrageri 7372-7455: 16 apariții Extrageri 7456-7539: 25 apariții Extrageri 7540-7623: 24 apariții Extrageri 7624-7706: 23 apariții Extrageri 7707-7790: 16 apariții Extrageri 7791-7874: 23 apariții Extrageri 7875-7958: 21 apariții Extrageri 7959-8041: 19 apariții Extrageri 8042-8125: 16 apariții Extrageri 8126-8209: 22 apariții Extrageri 8210-8293: 18 apariții Extrageri 8294-8377: 19 apariții Extrageri 8378-8460: 18 apariții Extrageri 8461-8544: 18 apariții Extrageri 8545-8628: 19 apariții Extrageri 8629-8712: 22 apariții Extrageri 8713-8795: 15 apariții Extrageri 8796-8879: 21 apariții Extrageri 8880-8963: 22 apariții Extrageri 8964-9047: 26 apariții Extrageri 9048-9130: 25 apariții Extrageri 9131-9214: 26 apariții Extrageri 9215-9298: 16 apariții Extrageri 9299-9382: 20 apariții Extrageri 9383-9466: 24 apariții Extrageri 9467-9549: 21 apariții Extrageri 9550-9633: 22 apariții Extrageri 9634-9717: 15 apariții Extrageri 9718-9801: 15 apariții Extrageri 9802-9884: 16 apariții Extrageri 9885-9968: 19 apariții Extrageri 9969-10052: 20 apariții Extrageri 10053-10136: 19 apariții Extrageri 10137-10219: 33 apariții Extrageri 10220-10303: 22 apariții Extrageri 10304-10387: 17 apariții Extrageri 10388-10471: 19 apariții Extrageri 10472-10555: 19 apariții Extrageri 10556-10638: 19 apariții Extrageri 10639-10722: 21 apariții Extrageri 10723-10806: 27 apariții Extrageri 10807-10890: 24 apariții Extrageri 10891-10973: 17 apariții Extrageri 10974-11057: 30 apariții Extrageri 11058-11141: 15 apariții Extrageri 11142-11225: 14 apariții Extrageri 11226-11308: 19 apariții Extrageri 11309-11392: 18 apariții Extrageri 11393-11476: 15 apariții Extrageri 11477-11560: 18 apariții Extrageri 11561-11644: 16 apariții Extrageri 11645-11727: 27 apariții Extrageri 11728-11811: 17 apariții Extrageri 11812-11895: 19 apariții Extrageri 11896-11979: 28 apariții Extrageri 11980-12062: 20 apariții Extrageri 12063-12146: 18 apariții Extrageri 12147-12230: 19 apariții Extrageri 12231-12314: 21 apariții Extrageri 12315-12397: 18 apariții Extrageri 12398-12481: 22 apariții Extrageri 12482-12565: 24 apariții Extrageri 12566-12649: 19 apariții Extrageri 12650-12733: 29 apariții Extrageri 12734-12816: 21 apariții Extrageri 12817-12900: 15 apariții Extrageri 12901-12984: 17 apariții Extrageri 12985-13068: 18 apariții Extrageri 13069-13151: 21 apariții Extrageri 13152-13235: 23 apariții Extrageri 13236-13319: 20 apariții Extrageri 13320-13403: 24 apariții Extrageri 13404-13486: 17 apariții Extrageri 13487-13570: 20 apariții Extrageri 13571-13654: 27 apariții Extrageri 13655-13738: 18 apariții Extrageri 13739-13822: 20 apariții Extrageri 13823-13905: 19 apariții Extrageri 13906-13989: 21 apariții Extrageri 13990-14073: 17 apariții Extrageri 14074-14157: 16 apariții Extrageri 14158-14240: 21 apariții Extrageri 14241-14324: 21 apariții Extrageri 14325-14408: 18 apariții Extrageri 14409-14492: 27 apariții Extrageri 14493-14575: 22 apariții Extrageri 14576-14659: 24 apariții Extrageri 14660-14743: 19 apariții Extrageri 14744-14827: 22 apariții Extrageri 14828-14911: 19 apariții Extrageri 14912-14994: 17 apariții Extrageri 14995-15078: 25 apariții Extrageri 15079-15162: 18 apariții Extrageri 15163-15246: 26 apariții Extrageri 15247-15329: 16 apariții Extrageri 15330-15413: 25 apariții Extrageri 15414-15497: 20 apariții Extrageri 15498-15581: 21 apariții Extrageri 15582-15664: 18 apariții Extrageri 15665-15748: 18 apariții Extrageri 15749-15832: 26 apariții Extrageri 15833-15916: 24 apariții Extrageri 15917-16000: 20 apariții Extrageri 16001-16083: 21 apariții Extrageri 16084-16167: 21 apariții Extrageri 16168-16251: 22 apariții Extrageri 16252-16335: 19 apariții Extrageri 16336-16418: 17 apariții Extrageri 16419-16502: 16 apariții Extrageri 16503-16586: 22 apariții Extrageri 16587-16670: 19 apariții Extrageri 16671-16754: 21 apariții 0 4189 8377 12566 16754 mean=20.6/bin max=33 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 (20.6 apariții/bin).
Combinația are 4,125 apariții — prea multe pentru afișare individuală (s-ar suprapune). Histogramul de mai sus arată variațiile de densitate temporală.

Distribuția gap-urilor

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

Date brute

Aparitii (draw_id):
[3, 4, 12, 17, 23, 24, 25, 28, 29, 30, 37, 40, 54, 62, 68, 71, 74, 79, 82, 83, 90, 92, 97, 99, 100, 102, 105, 107, 109, 110, 113, 114, 117, 120, 122, 124, 129, 137, 139, 141, 150, 156, 162, 163, 170, 185, 186, 191, 194, 198, 202, 205, 208, 209, 217, 219, 222, 223, 229, 233, 253, 257, 260, 261, 264, 273, 274, 277, 278, 279, 285, 289, 295, 301, 305, 310, 313, 314, 316, 319, 320, 324, 340, 345, 349, 355, 360, 361, 363, 364, 373, 377, 379, 380, 382, 383, 386, 387, 388, 393, 394, 406, 408, 414, 418, 425, 426, 429, 430, 431, 433, 442, 443, 446, 454, 456, 467, 470, 477, 481, 486, 494, 496, 504, 505, 507, 509, 511, 517, 525, 529, 530, 533, 536, 547, 549, 554, 559, 561, 564, 570, 571, 581, 583, 592, 595, 600, 602, 615, 616, 617, 627, 639, 642, 646, 650, 652, 655, 667, 668, 674, 676, 684, 687, 697, 700, 703, 714, 715, 726, 736, 739, 749, 760, 766, 767, 775, 778, 792, 798, 807, 811, 813, 821, 827, 830, 835, 836, 837, 840, 844, 848, 851, 853, 855, 861, 869, 870, 872, 891, 892, 899, 904, 907, 910, 911, 914, 918, 922, 934, 935, 937, 941, 943, 945, 946, 950, 955, 957, 958, 959, 960, 965, 970, 971, 973, 974, 977, 978, 980, 988, 990, 993, 995, 1004, 1005, 1011, 1013, 1016, 1017, 1027, 1028, 1030, 1036, 1037, 1040, 1045, 1061, 1063, 1075, 1077, 1085, 1092, 1093, 1094, 1099, 1101, 1105, 1108, 1110, 1116, 1123, 1132, 1137, 1138, 1146, 1151, 1160, 1164, 1165, 1166, 1170, 1172, 1174, 1175, 1180, 1182, 1183, 1184, 1187, 1194, 1200, 1201, 1202, 1207, 1211, 1213, 1219, 1226, 1237, 1247, 1253, 1258, 1261, 1264, 1267, 1268, 1269, 1275, 1276, 1283, 1286, 1288, 1294, 1296, 1300, 1305, 1307, 1318, 1328, 1330, 1335, 1338, 1348, 1349, 1351, 1353, 1355, 1358, 1374, 1376, 1378, 1380, 1384, 1386, 1388, 1389, 1404, 1410, 1414, 1418, 1426, 1427, 1429, 1430, 1433, 1436, 1447, 1448, 1450, 1454, 1456, 1463, 1469, 1470, 1471, 1474, 1476, 1478, 1481, 1486, 1490, 1492, 1494, 1495, 1503, 1505, 1510, 1513, 1518, 1520, 1527, 1545, 1546, 1552, 1555, 1556, 1558, 1559, 1573, 1576, 1577, 1582, 1583, 1585, 1597, 1599, 1601, 1611, 1617, 1618, 1619, 1625, 1630, 1631, 1639, 1648, 1653, 1662, 1663, 1665, 1668, 1674, 1676, 1677, 1679, 1682, 1684, 1689, 1704, 1711, 1712, 1721, 1724, 1735, 1739, 1746, 1749, 1759, 1760, 1763, 1768, 1769, 1770, 1774, 1775, 1776, 1783, 1785, 1793, 1795, 1796, 1798, 1801, 1802, 1803, 1804, 1810, 1812, 1813, 1816, 1819, 1820, 1821, 1826, 1829, 1843, 1845, 1854, 1856, 1858, 1862, 1863, 1864, 1871, 1872, 1873, 1876, 1877, 1878, 1879, 1881, 1888, 1896, 1897, 1899, 1907, 1908, 1910, 1913, 1915, 1916, 1920, 1932, 1935, 1941, 1943, 1944, 1945, 1946, 1948, 1953, 1955, 1968, 1970, 1972, 1973, 1976, 1982, 1984, 1985, 1988, 1989, 1992, 1995, 1998, 1999, 2002, 2004, 2022, 2025, 2028, 2031, 2032, 2037, 2038, 2039, 2041, 2047, 2050, 2058, 2062, 2071, 2072, 2077, 2087, 2096, 2099, 2100, 2105, 2114, 2117, 2121, 2122, 2124, 2127, 2131, 2133, 2135, 2137, 2138, 2147, 2148, 2150, 2151, 2159, 2164, 2165, 2168, 2177, 2179, 2185, 2186, 2187, 2191, 2192, 2194, 2197, 2198, 2200, 2205, 2206, 2212, 2213, 2214, 2219, 2222, 2228, 2233, 2237, 2238, 2240, 2247, 2249, 2251, 2259, 2262, 2274, 2278, 2279, 2288, 2292, 2299, 2301, 2302, 2303, 2306, 2307, 2311, 2320, 2324, 2327, 2328, 2330, 2335, 2338, 2341, 2344, 2346, 2347, 2348, 2356, 2357, 2361, 2368, 2369, 2371, 2373, 2378, 2379, 2385, 2387, 2393, 2394, 2397, 2399, 2403, 2410, 2415, 2416, 2418, 2420, 2423, 2429, 2430, 2433, 2434, 2436, 2439, 2440, 2441, 2446, 2459, 2461, 2463, 2467, 2471, 2477, 2478, 2481, 2489, 2499, 2500, 2504, 2508, 2510, 2512, 2513, 2522, 2529, 2534, 2536, 2537, 2547, 2548, 2553, 2555, 2556, 2561, 2562, 2566, 2570, 2574, 2580, 2581, 2582, 2584, 2586, 2587, 2588, 2592, 2594, 2596, 2604, 2611, 2612, 2621, 2624, 2627, 2628, 2629, 2631, 2635, 2636, 2637, 2649, 2652, 2657, 2658, 2666, 2668, 2669, 2673, 2675, 2681, 2682, 2685, 2687, 2689, 2692, 2696, 2698, 2700, 2705, 2707, 2708, 2710, 2711, 2712, 2713, 2717, 2719, 2720, 2726, 2727, 2728, 2731, 2736, 2745, 2753, 2759, 2762, 2772, 2778, 2780, 2792, 2795, 2797, 2799, 2800, 2802, 2808, 2813, 2817, 2819, 2827, 2828, 2832, 2834, 2837, 2838, 2839, 2846, 2849, 2851, 2852, 2854, 2855, 2860, 2862, 2863, 2864, 2865, 2868, 2871, 2875, 2876, 2878, 2894, 2914, 2921, 2922, 2926, 2936, 2937, 2948, 2952, 2954, 2959, 2963, 2970, 2972, 2976, 2979, 2980, 2982, 2996, 3001, 3002, 3006, 3008, 3009, 3014, 3015, 3019, 3025, 3032, 3035, 3052, 3075, 3088, 3100, 3103, 3107, 3109, 3112, 3113, 3119, 3122, 3133, 3139, 3151, 3153, 3154, 3155, 3156, 3159, 3161, 3164, 3172, 3174, 3178, 3182, 3186, 3192, 3195, 3205, 3208, 3219, 3231, 3237, 3240, 3244, 3248, 3249, 3251, 3261, 3266, 3267, 3268, 3275, 3276, 3277, 3288, 3292, 3308, 3314, 3317, 3322, 3328, 3335, 3339, 3341, 3343, 3344, 3354, 3356, 3357, 3358, 3365, 3368, 3372, 3373, 3376, 3379, 3380, 3386, 3399, 3407, 3413, 3425, 3426, 3438, 3439, 3446, 3448, 3450, 3451, 3462, 3464, 3467, 3469, 3475, 3482, 3486, 3487, 3488, 3489, 3501, 3506, 3508, 3510, 3512, 3513, 3515, 3521, 3524, 3529, 3531, 3535, 3553, 3558, 3562, 3564, 3566, 3569, 3571, 3573, 3575, 3577, 3580, 3587, 3591, 3592, 3603, 3609, 3610, 3614, 3624, 3626, 3628, 3631, 3632, 3636, 3637, 3643, 3644, 3652, 3653, 3656, 3657, 3659, 3667, 3674, 3675, 3678, 3683, 3688, 3689, 3692, 3694, 3695, 3696, 3701, 3706, 3707, 3708, 3709, 3715, 3717, 3720, 3721, 3725, 3726, 3733, 3734, 3735, 3737, 3738, 3742, 3758, 3764, 3771, 3779, 3782, 3799, 3805, 3807, 3821, 3823, 3826, 3832, 3834, 3837, 3848, 3849, 3852, 3859, 3865, 3867, 3876, 3880, 3885, 3887, 3893, 3894, 3898, 3901, 3902, 3903, 3906, 3914, 3915, 3916, 3917, 3925, 3929, 3934, 3937, 3939, 3942, 3944, 3945, 3946, 3953, 3956, 3964, 3970, 3976, 3983, 3984, 3988, 3989, 3991, 3992, 3994, 3996, 3997, 3998, 4001, 4008, 4009, 4013, 4019, 4022, 4029, 4041, 4042, 4047, 4058, 4059, 4060, 4061, 4062, 4063, 4070, 4074, 4077, 4078, 4079, 4081, 4085, 4089, 4093, 4096, 4098, 4117, 4121, 4122, 4123, 4127, 4139, 4143, 4144, 4146, 4149, 4152, 4153, 4161, 4164, 4173, 4174, 4177, 4178, 4179, 4180, 4182, 4186, 4187, 4192, 4193, 4194, 4205, 4206, 4217, 4221, 4231, 4236, 4240, 4246, 4249, 4250, 4258, 4267, 4277, 4278, 4285, 4287, 4289, 4291, 4296, 4298, 4300, 4308, 4319, 4329, 4331, 4334, 4345, 4346, 4350, 4354, 4358, 4360, 4364, 4369, 4370, 4378, 4379, 4384, 4394, 4397, 4400, 4409, 4410, 4414, 4415, 4420, 4428, 4431, 4434, 4439, 4445, 4447, 4454, 4468, 4472, 4474, 4475, 4477, 4483, 4494, 4498, 4502, 4507, 4515, 4517, 4523, 4530, 4531, 4532, 4534, 4538, 4542, 4543, 4547, 4549, 4551, 4554, 4556, 4557, 4571, 4577, 4580, 4611, 4622, 4630, 4632, 4635, 4648, 4649, 4660, 4662, 4665, 4673, 4676, 4680, 4681, 4684, 4685, 4690, 4692, 4695, 4696, 4698, 4703, 4712, 4713, 4716, 4717, 4730, 4734, 4735, 4738, 4740, 4742, 4746, 4747, 4748, 4752, 4758, 4759, 4761, 4763, 4765, 4772, 4773, 4774, 4775, 4777, 4786, 4790, 4792, 4793, 4794, 4800, 4802, 4803, 4807, 4808, 4809, 4810, 4811, 4815, 4825, 4830, 4835, 4840, 4842, 4843, 4845, 4851, 4869, 4875, 4876, 4881, 4882, 4885, 4886, 4889, 4892, 4894, 4896, 4910, 4911, 4912, 4914, 4918, 4922, 4925, 4927, 4930, 4931, 4937, 4938, 4939, 4940, 4945, 4949, 4951, 4966, 4969, 4972, 4973, 4975, 4976, 4977, 4982, 4983, 4986, 4987, 4989, 4990, 5000, 5001, 5004, 5007, 5013, 5018, 5020, 5023, 5025, 5027, 5034, 5041, 5048, 5049, 5053, 5059, 5062, 5064, 5068, 5076, 5078, 5079, 5084, 5087, 5088, 5102, 5106, 5107, 5109, 5119, 5120, 5125, 5127, 5129, 5135, 5136, 5138, 5141, 5144, 5156, 5157, 5161, 5163, 5164, 5165, 5166, 5173, 5180, 5186, 5189, 5195, 5196, 5197, 5201, 5204, 5205, 5211, 5225, 5229, 5230, 5238, 5240, 5243, 5254, 5258, 5259, 5262, 5269, 5273, 5274, 5275, 5281, 5285, 5290, 5291, 5295, 5297, 5298, 5299, 5300, 5302, 5306, 5307, 5309, 5310, 5312, 5313, 5318, 5319, 5327, 5328, 5330, 5334, 5335, 5336, 5343, 5344, 5345, 5347, 5350, 5351, 5355, 5356, 5362, 5366, 5382, 5384, 5387, 5393, 5395, 5397, 5403, 5405, 5406, 5407, 5410, 5412, 5414, 5415, 5417, 5419, 5421, 5424, 5428, 5433, 5434, 5435, 5436, 5437, 5438, 5445, 5446, 5448, 5452, 5454, 5457, 5458, 5461, 5478, 5480, 5482, 5487, 5488, 5490, 5493, 5496, 5497, 5500, 5505, 5508, 5514, 5526, 5528, 5532, 5547, 5552, 5555, 5563, 5568, 5571, 5572, 5574, 5575, 5581, 5582, 5585, 5595, 5604, 5605, 5612, 5615, 5629, 5632, 5650, 5652, 5657, 5658, 5660, 5666, 5669, 5671, 5681, 5683, 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5701, 5711, 5714, 5717, 5719, 5720, 5721, 5723, 5724, 5726, 5728, 5737, 5744, 5754, 5755, 5756, 5761, 5762, 5763, 5770, 5776, 5782, 5791, 5792, 5806, 5809, 5810, 5811, 5815, 5816, 5827, 5829, 5831, 5833, 5839, 5848, 5853, 5855, 5860, 5862, 5865, 5866, 5868, 5871, 5872, 5877, 5878, 5880, 5883, 5885, 5887, 5890, 5891, 5908, 5909, 5921, 5925, 5926, 5929, 5930, 5932, 5933, 5934, 5940, 5946, 5949, 5951, 5957, 5960, 5961, 5963, 5972, 5975, 5978, 5979, 5988, 5992, 5993, 5996, 6002, 6006, 6023, 6024, 6027, 6029, 6031, 6037, 6039, 6043, 6051, 6053, 6061, 6063, 6065, 6067, 6071, 6082, 6083, 6094, 6095, 6106, 6108, 6110, 6111, 6113, 6116, 6121, 6122, 6137, 6145, 6146, 6147, 6149, 6158, 6159, 6161, 6162, 6167, 6173, 6191, 6193, 6196, 6198, 6201, 6205, 6210, 6217, 6218, 6222, 6224, 6232, 6234, 6236, 6239, 6240, 6248, 6251, 6252, 6256, 6258, 6260, 6264, 6268, 6270, 6275, 6277, 6280, 6281, 6283, 6285, 6297, 6303, 6307, 6315, 6316, 6317, 6320, 6329, 6332, 6333, 6340, 6356, 6365, 6373, 6376, 6379, 6380, 6382, 6383, 6394, 6398, 6400, 6402, 6407, 6409, 6414, 6423, 6426, 6427, 6430, 6431, 6432, 6434, 6435, 6436, 6437, 6444, 6450, 6451, 6453, 6455, 6458, 6460, 6462, 6465, 6470, 6472, 6475, 6477, 6479, 6498, 6505, 6508, 6516, 6517, 6526, 6531, 6535, 6544, 6545, 6549, 6557, 6560, 6564, 6569, 6571, 6574, 6579, 6580, 6581, 6582, 6585, 6591, 6595, 6599, 6601, 6607, 6612, 6627, 6634, 6635, 6637, 6642, 6648, 6650, 6655, 6664, 6665, 6670, 6675, 6680, 6686, 6691, 6697, 6698, 6699, 6700, 6715, 6719, 6725, 6727, 6729, 6730, 6736, 6737, 6740, 6741, 6742, 6746, 6748, 6758, 6760, 6769, 6782, 6785, 6786, 6788, 6793, 6794, 6797, 6801, 6806, 6809, 6811, 6826, 6827, 6829, 6830, 6833, 6835, 6836, 6837, 6840, 6842, 6847, 6852, 6855, 6856, 6859, 6861, 6875, 6880, 6881, 6884, 6888, 6891, 6898, 6916, 6919, 6924, 6925, 6930, 6931, 6932, 6936, 6937, 6938, 6943, 6945, 6948, 6951, 6960, 6961, 6965, 6968, 6970, 6972, 6979, 6983, 6993, 7000, 7001, 7007, 7017, 7019, 7023, 7037, 7038, 7040, 7041, 7046, 7048, 7053, 7054, 7063, 7067, 7074, 7075, 7076, 7077, 7078, 7081, 7082, 7083, 7086, 7089, 7090, 7094, 7097, 7098, 7099, 7103, 7104, 7106, 7107, 7122, 7130, 7140, 7141, 7147, 7149, 7153, 7167, 7171, 7174, 7175, 7176, 7183, 7184, 7189, 7190, 7191, 7193, 7202, 7208, 7215, 7218, 7219, 7225, 7228, 7229, 7232, 7236, 7240, 7241, 7250, 7257, 7261, 7263, 7267, 7268, 7271, 7274, 7278, 7279, 7286, 7289, 7292, 7293, 7295, 7302, 7306, 7310, 7313, 7314, 7321, 7322, 7325, 7327, 7329, 7339, 7342, 7344, 7345, 7350, 7365, 7366, 7368, 7376, 7382, 7384, 7385, 7387, 7388, 7390, 7391, 7393, 7398, 7403, 7412, 7422, 7434, 7437, 7454, 7460, 7464, 7473, 7476, 7477, 7485, 7487, 7488, 7492, 7494, 7499, 7501, 7502, 7503, 7511, 7512, 7517, 7518, 7521, 7522, 7527, 7528, 7531, 7533, 7536, 7548, 7550, 7552, 7554, 7559, 7563, 7565, 7568, 7570, 7572, 7575, 7576, 7577, 7578, 7587, 7588, 7593, 7595, 7602, 7603, 7615, 7616, 7620, 7624, 7627, 7628, 7638, 7643, 7652, 7656, 7662, 7665, 7667, 7669, 7673, 7675, 7676, 7679, 7685, 7686, 7689, 7691, 7693, 7698, 7699, 7704, 7705, 7718, 7719, 7728, 7737, 7738, 7741, 7752, 7754, 7764, 7769, 7771, 7781, 7782, 7783, 7788, 7790, 7792, 7800, 7809, 7814, 7815, 7819, 7820, 7821, 7824, 7827, 7834, 7846, 7847, 7849, 7850, 7852, 7853, 7854, 7856, 7859, 7862, 7864, 7873, 7876, 7883, 7885, 7886, 7890, 7893, 7894, 7896, 7902, 7912, 7913, 7914, 7919, 7936, 7939, 7941, 7946, 7947, 7949, 7953, 7957, 7965, 7969, 7989, 7990, 7994, 8001, 8003, 8006, 8009, 8016, 8019, 8022, 8023, 8029, 8031, 8032, 8036, 8039, 8040, 8047, 8048, 8073, 8074, 8081, 8083, 8089, 8096, 8102, 8103, 8105, 8107, 8109, 8110, 8123, 8126, 8127, 8129, 8130, 8133, 8137, 8141, 8144, 8148, 8162, 8164, 8165, 8167, 8171, 8173, 8176, 8179, 8187, 8190, 8191, 8192, 8199, 8210, 8216, 8217, 8218, 8226, 8228, 8233, 8234, 8241, 8255, 8256, 8257, 8261, 8265, 8271, 8273, 8279, 8285, 8294, 8298, 8305, 8316, 8318, 8319, 8329, 8331, 8333, 8334, 8336, 8337, 8338, 8347, 8348, 8351, 8357, 8362, 8364, 8368, 8381, 8382, 8391, 8398, 8402, 8414, 8416, 8420, 8421, 8441, 8445, 8446, 8447, 8449, 8450, 8453, 8455, 8458, 8469, 8471, 8481, 8487, 8489, 8491, 8500, 8503, 8504, 8505, 8509, 8514, 8521, 8522, 8533, 8536, 8539, 8542, 8549, 8557, 8564, 8565, 8568, 8570, 8576, 8582, 8588, 8591, 8592, 8594, 8596, 8597, 8601, 8611, 8619, 8620, 8628, 8630, 8631, 8635, 8637, 8641, 8645, 8648, 8651, 8657, 8661, 8665, 8667, 8669, 8678, 8679, 8683, 8684, 8689, 8690, 8691, 8694, 8699, 8714, 8715, 8729, 8731, 8734, 8735, 8741, 8747, 8751, 8761, 8766, 8769, 8785, 8786, 8791, 8804, 8806, 8807, 8808, 8809, 8811, 8816, 8819, 8829, 8830, 8832, 8834, 8836, 8837, 8838, 8840, 8847, 8848, 8850, 8862, 8869, 8887, 8888, 8890, 8898, 8899, 8900, 8901, 8903, 8904, 8905, 8907, 8908, 8909, 8915, 8929, 8932, 8938, 8940, 8953, 8954, 8956, 8958, 8967, 8972, 8976, 8982, 8985, 8987, 8995, 8996, 8997, 9005, 9006, 9007, 9015, 9022, 9027, 9029, 9033, 9036, 9037, 9039, 9040, 9041, 9044, 9045, 9047, 9048, 9049, 9055, 9057, 9063, 9064, 9065, 9067, 9071, 9072, 9075, 9079, 9083, 9085, 9091, 9094, 9096, 9100, 9107, 9109, 9116, 9119, 9120, 9121, 9122, 9131, 9133, 9138, 9140, 9144, 9146, 9150, 9151, 9154, 9160, 9166, 9170, 9171, 9175, 9179, 9183, 9184, 9185, 9189, 9190, 9192, 9197, 9200, 9201, 9204, 9206, 9210, 9220, 9222, 9226, 9231, 9238, 9245, 9253, 9260, 9265, 9267, 9270, 9272, 9274, 9291, 9293, 9298, 9300, 9302, 9304, 9308, 9312, 9319, 9331, 9332, 9334, 9335, 9342, 9345, 9352, 9355, 9356, 9358, 9369, 9370, 9380, 9381, 9384, 9385, 9393, 9394, 9396, 9401, 9403, 9408, 9413, 9420, 9431, 9432, 9434, 9435, 9437, 9439, 9440, 9449, 9451, 9457, 9459, 9461, 9463, 9467, 9468, 9473, 9475, 9476, 9478, 9484, 9485, 9489, 9499, 9502, 9505, 9506, 9508, 9516, 9520, 9524, 9528, 9529, 9537, 9538, 9547, 9551, 9557, 9558, 9559, 9570, 9574, 9577, 9579, 9583, 9586, 9593, 9599, 9602, 9609, 9613, 9618, 9625, 9628, 9630, 9631, 9633, 9634, 9635, 9645, 9646, 9650, 9654, 9655, 9658, 9661, 9671, 9679, 9697, 9698, 9699, 9703, 9708, 9719, 9722, 9723, 9728, 9730, 9733, 9745, 9756, 9763, 9774, 9782, 9783, 9785, 9799, 9800, 9804, 9807, 9810, 9824, 9830, 9837, 9840, 9843, 9849, 9857, 9858, 9869, 9875, 9876, 9877, 9880, 9887, 9891, 9892, 9899, 9906, 9908, 9914, 9921, 9926, 9930, 9938, 9939, 9942, 9943, 9945, 9951, 9954, 9956, 9968, 9970, 9972, 9976, 9977, 9978, 9993, 9997, 9999, 10000, 10001, 10005, 10011, 10021, 10022, 10027, 10028, 10030, 10034, 10044, 10051, 10056, 10058, 10060, 10078, 10081, 10084, 10089, 10093, 10094, 10106, 10113, 10116, 10117, 10119, 10123, 10125, 10127, 10130, 10136, 10139, 10140, 10145, 10146, 10148, 10150, 10151, 10156, 10164, 10165, 10166, 10171, 10172, 10176, 10183, 10184, 10186, 10187, 10188, 10190, 10191, 10194, 10198, 10199, 10205, 10207, 10208, 10209, 10211, 10213, 10214, 10216, 10218, 10225, 10227, 10233, 10240, 10242, 10245, 10246, 10247, 10249, 10252, 10254, 10256, 10260, 10261, 10265, 10271, 10278, 10284, 10292, 10297, 10299, 10303, 10305, 10309, 10311, 10313, 10314, 10315, 10318, 10331, 10336, 10337, 10347, 10349, 10352, 10357, 10362, 10375, 10386, 10404, 10411, 10414, 10418, 10421, 10432, 10433, 10434, 10435, 10438, 10439, 10443, 10447, 10453, 10456, 10463, 10466, 10468, 10470, 10475, 10478, 10482, 10488, 10490, 10491, 10499, 10501, 10502, 10503, 10505, 10510, 10515, 10517, 10522, 10531, 10533, 10552, 10555, 10559, 10571, 10575, 10591, 10592, 10593, 10595, 10597, 10603, 10607, 10608, 10609, 10610, 10612, 10617, 10624, 10625, 10627, 10632, 10640, 10655, 10656, 10658, 10660, 10667, 10672, 10675, 10680, 10685, 10689, 10691, 10692, 10693, 10695, 10698, 10706, 10714, 10716, 10717, 10720, 10726, 10727, 10730, 10731, 10734, 10739, 10740, 10749, 10750, 10754, 10758, 10760, 10764, 10765, 10776, 10781, 10784, 10786, 10787, 10789, 10794, 10797, 10799, 10801, 10803, 10804, 10807, 10809, 10814, 10815, 10816, 10817, 10818, 10820, 10822, 10823, 10825, 10831, 10833, 10841, 10842, 10852, 10861, 10868, 10874, 10876, 10877, 10881, 10882, 10886, 10887, 10892, 10900, 10905, 10914, 10917, 10921, 10922, 10935, 10939, 10942, 10950, 10951, 10953, 10954, 10957, 10964, 10972, 10977, 10983, 10984, 10987, 10988, 10992, 10993, 10994, 10999, 11005, 11007, 11008, 11009, 11010, 11012, 11013, 11017, 11018, 11021, 11022, 11026, 11029, 11032, 11039, 11045, 11047, 11052, 11053, 11055, 11057, 11064, 11068, 11072, 11078, 11087, 11091, 11096, 11097, 11098, 11106, 11111, 11113, 11133, 11140, 11142, 11148, 11149, 11155, 11159, 11171, 11175, 11178, 11185, 11189, 11201, 11204, 11207, 11210, 11225, 11228, 11232, 11235, 11238, 11246, 11253, 11256, 11257, 11267, 11270, 11276, 11278, 11279, 11283, 11285, 11286, 11287, 11291, 11305, 11332, 11333, 11334, 11336, 11347, 11351, 11353, 11355, 11360, 11361, 11363, 11366, 11376, 11378, 11380, 11381, 11382, 11384, 11398, 11407, 11409, 11410, 11414, 11417, 11423, 11436, 11439, 11441, 11448, 11450, 11460, 11463, 11476, 11487, 11488, 11499, 11502, 11506, 11509, 11515, 11516, 11522, 11525, 11527, 11538, 11540, 11546, 11550, 11552, 11559, 11561, 11574, 11576, 11580, 11586, 11604, 11606, 11607, 11614, 11617, 11618, 11626, 11630, 11631, 11635, 11640, 11642, 11650, 11654, 11655, 11656, 11658, 11660, 11661, 11667, 11671, 11674, 11681, 11682, 11683, 11684, 11685, 11687, 11688, 11703, 11705, 11710, 11713, 11715, 11718, 11723, 11724, 11725, 11727, 11730, 11733, 11735, 11738, 11754, 11757, 11763, 11764, 11768, 11777, 11779, 11784, 11785, 11792, 11794, 11798, 11812, 11814, 11818, 11822, 11824, 11828, 11830, 11836, 11837, 11844, 11845, 11851, 11852, 11859, 11872, 11876, 11878, 11886, 11890, 11895, 11899, 11901, 11909, 11910, 11911, 11916, 11917, 11919, 11926, 11928, 11929, 11932, 11935, 11938, 11941, 11945, 11947, 11951, 11953, 11954, 11958, 11959, 11960, 11961, 11965, 11969, 11971, 11974, 11987, 11989, 11990, 12010, 12014, 12015, 12016, 12018, 12020, 12022, 12030, 12031, 12032, 12035, 12039, 12044, 12049, 12054, 12057, 12060, 12072, 12084, 12087, 12089, 12095, 12098, 12100, 12101, 12106, 12112, 12115, 12117, 12123, 12124, 12125, 12126, 12137, 12140, 12148, 12150, 12153, 12159, 12161, 12162, 12166, 12169, 12176, 12177, 12180, 12194, 12200, 12203, 12207, 12210, 12215, 12216, 12227, 12233, 12247, 12248, 12249, 12251, 12254, 12259, 12261, 12265, 12267, 12269, 12271, 12275, 12282, 12284, 12286, 12287, 12301, 12304, 12312, 12314, 12316, 12319, 12322, 12323, 12326, 12329, 12335, 12337, 12347, 12348, 12349, 12351, 12359, 12374, 12381, 12385, 12386, 12396, 12399, 12407, 12410, 12411, 12416, 12418, 12425, 12426, 12427, 12434, 12438, 12439, 12448, 12449, 12450, 12455, 12470, 12471, 12472, 12474, 12477, 12479, 12486, 12489, 12490, 12491, 12493, 12495, 12503, 12507, 12513, 12522, 12525, 12527, 12529, 12533, 12535, 12536, 12539, 12543, 12554, 12555, 12557, 12559, 12560, 12565, 12569, 12571, 12572, 12575, 12581, 12584, 12587, 12588, 12589, 12590, 12592, 12597, 12616, 12619, 12623, 12630, 12631, 12633, 12634, 12651, 12654, 12655, 12660, 12662, 12666, 12675, 12678, 12679, 12682, 12684, 12685, 12689, 12691, 12694, 12697, 12700, 12703, 12709, 12711, 12712, 12713, 12716, 12722, 12725, 12727, 12730, 12732, 12734, 12736, 12739, 12742, 12745, 12749, 12751, 12753, 12774, 12777, 12778, 12779, 12781, 12788, 12791, 12792, 12795, 12800, 12802, 12805, 12808, 12817, 12819, 12832, 12833, 12835, 12842, 12846, 12852, 12859, 12875, 12879, 12881, 12884, 12889, 12892, 12894, 12904, 12909, 12912, 12916, 12917, 12918, 12919, 12922, 12924, 12926, 12928, 12934, 12937, 12944, 12957, 12960, 12985, 12991, 12993, 12998, 13002, 13003, 13007, 13013, 13015, 13016, 13018, 13030, 13031, 13037, 13039, 13048, 13050, 13051, 13065, 13076, 13081, 13087, 13088, 13090, 13098, 13103, 13106, 13113, 13115, 13116, 13117, 13119, 13124, 13125, 13133, 13134, 13139, 13141, 13142, 13150, 13153, 13154, 13156, 13160, 13161, 13163, 13165, 13167, 13168, 13171, 13176, 13178, 13181, 13183, 13185, 13197, 13200, 13204, 13208, 13213, 13222, 13235, 13236, 13248, 13249, 13253, 13254, 13256, 13262, 13267, 13274, 13278, 13281, 13292, 13294, 13297, 13303, 13304, 13306, 13307, 13308, 13317, 13319, 13321, 13322, 13323, 13328, 13335, 13356, 13365, 13367, 13369, 13373, 13377, 13379, 13380, 13382, 13383, 13388, 13389, 13393, 13394, 13395, 13396, 13397, 13401, 13404, 13405, 13407, 13410, 13414, 13418, 13420, 13427, 13432, 13436, 13441, 13451, 13454, 13455, 13466, 13481, 13484, 13486, 13491, 13502, 13504, 13505, 13507, 13511, 13514, 13518, 13521, 13525, 13543, 13545, 13546, 13550, 13551, 13557, 13562, 13565, 13566, 13567, 13575, 13577, 13578, 13587, 13590, 13595, 13596, 13597, 13600, 13604, 13606, 13613, 13617, 13619, 13622, 13625, 13631, 13632, 13633, 13635, 13639, 13641, 13642, 13646, 13647, 13648, 13649, 13662, 13663, 13668, 13674, 13676, 13680, 13686, 13690, 13697, 13703, 13710, 13711, 13712, 13716, 13727, 13734, 13736, 13739, 13740, 13744, 13747, 13752, 13761, 13764, 13770, 13772, 13775, 13784, 13785, 13786, 13787, 13791, 13792, 13794, 13798, 13811, 13814, 13819, 13831, 13835, 13836, 13849, 13855, 13861, 13866, 13870, 13872, 13873, 13876, 13877, 13878, 13880, 13888, 13889, 13891, 13898, 13906, 13910, 13913, 13916, 13920, 13924, 13927, 13928, 13929, 13935, 13937, 13943, 13944, 13946, 13958, 13959, 13960, 13964, 13965, 13973, 13976, 13982, 13992, 13994, 14000, 14005, 14010, 14014, 14017, 14018, 14020, 14025, 14026, 14037, 14046, 14060, 14061, 14063, 14067, 14078, 14079, 14085, 14097, 14102, 14108, 14112, 14115, 14129, 14131, 14137, 14138, 14141, 14142, 14144, 14150, 14171, 14174, 14187, 14189, 14193, 14198, 14201, 14208, 14212, 14214, 14215, 14216, 14220, 14222, 14226, 14228, 14229, 14233, 14234, 14235, 14238, 14242, 14244, 14248, 14256, 14266, 14267, 14269, 14270, 14271, 14272, 14274, 14277, 14282, 14284, 14291, 14294, 14311, 14312, 14313, 14321, 14324, 14329, 14330, 14333, 14334, 14335, 14343, 14344, 14348, 14350, 14357, 14365, 14379, 14387, 14393, 14394, 14397, 14408, 14409, 14410, 14411, 14413, 14416, 14422, 14425, 14428, 14433, 14443, 14446, 14448, 14450, 14451, 14457, 14458, 14461, 14467, 14469, 14472, 14474, 14475, 14477, 14480, 14484, 14485, 14489, 14490, 14495, 14498, 14499, 14508, 14509, 14517, 14520, 14521, 14522, 14534, 14535, 14536, 14544, 14549, 14552, 14559, 14562, 14571, 14572, 14573, 14574, 14575, 14578, 14581, 14584, 14591, 14594, 14597, 14599, 14600, 14601, 14610, 14611, 14613, 14620, 14621, 14624, 14626, 14628, 14630, 14637, 14643, 14648, 14650, 14658, 14660, 14661, 14669, 14682, 14684, 14687, 14698, 14699, 14710, 14711, 14714, 14721, 14724, 14726, 14727, 14729, 14730, 14732, 14734, 14740, 14745, 14746, 14748, 14757, 14759, 14761, 14762, 14766, 14768, 14772, 14775, 14776, 14778, 14781, 14783, 14792, 14800, 14808, 14817, 14818, 14819, 14826, 14835, 14838, 14841, 14842, 14843, 14845, 14848, 14851, 14861, 14866, 14868, 14870, 14879, 14881, 14884, 14888, 14891, 14894, 14907, 14921, 14922, 14926, 14933, 14934, 14939, 14946, 14948, 14950, 14953, 14963, 14967, 14968, 14971, 14973, 14975, 14989, 14999, 15012, 15015, 15016, 15017, 15018, 15024, 15030, 15032, 15035, 15036, 15037, 15042, 15044, 15048, 15054, 15056, 15062, 15065, 15071, 15072, 15075, 15077, 15078, 15079, 15084, 15092, 15094, 15097, 15100, 15108, 15111, 15116, 15118, 15121, 15128, 15129, 15136, 15142, 15148, 15151, 15158, 15159, 15165, 15166, 15171, 15175, 15178, 15179, 15181, 15183, 15185, 15187, 15188, 15192, 15194, 15195, 15201, 15202, 15203, 15213, 15216, 15217, 15224, 15236, 15239, 15240, 15243, 15246, 15258, 15262, 15264, 15271, 15274, 15279, 15284, 15285, 15286, 15288, 15293, 15295, 15307, 15308, 15310, 15318, 15348, 15349, 15350, 15355, 15357, 15359, 15362, 15365, 15367, 15375, 15378, 15379, 15382, 15383, 15385, 15386, 15387, 15390, 15392, 15393, 15394, 15398, 15400, 15405, 15406, 15417, 15421, 15443, 15444, 15445, 15446, 15447, 15450, 15458, 15460, 15466, 15470, 15473, 15475, 15480, 15486, 15488, 15490, 15492, 15494, 15501, 15504, 15505, 15510, 15515, 15520, 15523, 15526, 15529, 15531, 15534, 15535, 15538, 15539, 15541, 15542, 15545, 15562, 15566, 15571, 15578, 15590, 15591, 15597, 15601, 15602, 15604, 15613, 15618, 15629, 15638, 15640, 15641, 15648, 15649, 15651, 15653, 15655, 15657, 15671, 15678, 15680, 15681, 15682, 15688, 15690, 15701, 15705, 15707, 15723, 15724, 15729, 15730, 15735, 15736, 15743, 15747, 15750, 15753, 15754, 15760, 15762, 15773, 15775, 15778, 15781, 15782, 15783, 15789, 15790, 15793, 15794, 15801, 15802, 15803, 15804, 15808, 15817, 15822, 15824, 15826, 15830, 15831, 15835, 15840, 15843, 15848, 15850, 15857, 15860, 15861, 15870, 15871, 15874, 15877, 15881, 15886, 15888, 15889, 15891, 15892, 15898, 15900, 15903, 15909, 15913, 15916, 15918, 15921, 15924, 15927, 15928, 15933, 15937, 15943, 15958, 15960, 15962, 15963, 15969, 15976, 15982, 15983, 15987, 15993, 15994, 15996, 16005, 16006, 16008, 16009, 16010, 16012, 16017, 16025, 16046, 16047, 16051, 16057, 16058, 16067, 16068, 16070, 16073, 16079, 16080, 16083, 16084, 16086, 16087, 16095, 16107, 16115, 16118, 16120, 16121, 16124, 16127, 16129, 16130, 16136, 16144, 16145, 16152, 16156, 16160, 16162, 16163, 16165, 16170, 16172, 16174, 16187, 16199, 16207, 16208, 16209, 16215, 16216, 16217, 16219, 16222, 16230, 16237, 16239, 16241, 16245, 16246, 16247, 16249, 16250, 16262, 16267, 16270, 16272, 16284, 16286, 16300, 16302, 16306, 16309, 16313, 16314, 16315, 16317, 16321, 16325, 16327, 16330, 16334, 16340, 16342, 16344, 16345, 16347, 16350, 16353, 16355, 16357, 16362, 16367, 16371, 16389, 16392, 16403, 16406, 16416, 16427, 16430, 16444, 16446, 16449, 16451, 16453, 16458, 16459, 16461, 16464, 16483, 16484, 16489, 16497, 16502, 16505, 16509, 16515, 16519, 16521, 16525, 16526, 16527, 16530, 16532, 16536, 16540, 16553, 16557, 16558, 16562, 16564, 16565, 16570, 16572, 16575, 16580, 16602, 16615, 16620, 16622, 16623, 16625, 16626, 16630, 16633, 16635, 16640, 16645, 16647, 16650, 16655, 16667, 16668, 16669, 16671, 16674, 16678, 16681, 16687, 16703, 16708, 16711, 16717, 16719, 16721, 16725, 16728, 16731, 16734, 16735, 16738, 16740, 16744, 16749, 16753, 16754]
Gap-uri:
[1, 8, 5, 6, 1, 1, 3, 1, 1, 7, 3, 14, 8, 6, 3, 3, 5, 3, 1, 7, 2, 5, 2, 1, 2, 3, 2, 2, 1, 3, 1, 3, 3, 2, 2, 5, 8, 2, 2, 9, 6, 6, 1, 7, 15, 1, 5, 3, 4, 4, 3, 3, 1, 8, 2, 3, 1, 6, 4, 20, 4, 3, 1, 3, 9, 1, 3, 1, 1, 6, 4, 6, 6, 4, 5, 3, 1, 2, 3, 1, 4, 16, 5, 4, 6, 5, 1, 2, 1, 9, 4, 2, 1, 2, 1, 3, 1, 1, 5, 1, 12, 2, 6, 4, 7, 1, 3, 1, 1, 2, 9, 1, 3, 8, 2, 11, 3, 7, 4, 5, 8, 2, 8, 1, 2, 2, 2, 6, 8, 4, 1, 3, 3, 11, 2, 5, 5, 2, 3, 6, 1, 10, 2, 9, 3, 5, 2, 13, 1, 1, 10, 12, 3, 4, 4, 2, 3, 12, 1, 6, 2, 8, 3, 10, 3, 3, 11, 1, 11, 10, 3, 10, 11, 6, 1, 8, 3, 14, 6, 9, 4, 2, 8, 6, 3, 5, 1, 1, 3, 4, 4, 3, 2, 2, 6, 8, 1, 2, 19, 1, 7, 5, 3, 3, 1, 3, 4, 4, 12, 1, 2, 4, 2, 2, 1, 4, 5, 2, 1, 1, 1, 5, 5, 1, 2, 1, 3, 1, 2, 8, 2, 3, 2, 9, 1, 6, 2, 3, 1, 10, 1, 2, 6, 1, 3, 5, 16, 2, 12, 2, 8, 7, 1, 1, 5, 2, 4, 3, 2, 6, 7, 9, 5, 1, 8, 5, 9, 4, 1, 1, 4, 2, 2, 1, 5, 2, 1, 1, 3, 7, 6, 1, 1, 5, 4, 2, 6, 7, 11, 10, 6, 5, 3, 3, 3, 1, 1, 6, 1, 7, 3, 2, 6, 2, 4, 5, 2, 11, 10, 2, 5, 3, 10, 1, 2, 2, 2, 3, 16, 2, 2, 2, 4, 2, 2, 1, 15, 6, 4, 4, 8, 1, 2, 1, 3, 3, 11, 1, 2, 4, 2, 7, 6, 1, 1, 3, 2, 2, 3, 5, 4, 2, 2, 1, 8, 2, 5, 3, 5, 2, 7, 18, 1, 6, 3, 1, 2, 1, 14, 3, 1, 5, 1, 2, 12, 2, 2, 10, 6, 1, 1, 6, 5, 1, 8, 9, 5, 9, 1, 2, 3, 6, 2, 1, 2, 3, 2, 5, 15, 7, 1, 9, 3, 11, 4, 7, 3, 10, 1, 3, 5, 1, 1, 4, 1, 1, 7, 2, 8, 2, 1, 2, 3, 1, 1, 1, 6, 2, 1, 3, 3, 1, 1, 5, 3, 14, 2, 9, 2, 2, 4, 1, 1, 7, 1, 1, 3, 1, 1, 1, 2, 7, 8, 1, 2, 8, 1, 2, 3, 2, 1, 4, 12, 3, 6, 2, 1, 1, 1, 2, 5, 2, 13, 2, 2, 1, 3, 6, 2, 1, 3, 1, 3, 3, 3, 1, 3, 2, 18, 3, 3, 3, 1, 5, 1, 1, 2, 6, 3, 8, 4, 9, 1, 5, 10, 9, 3, 1, 5, 9, 3, 4, 1, 2, 3, 4, 2, 2, 2, 1, 9, 1, 2, 1, 8, 5, 1, 3, 9, 2, 6, 1, 1, 4, 1, 2, 3, 1, 2, 5, 1, 6, 1, 1, 5, 3, 6, 5, 4, 1, 2, 7, 2, 2, 8, 3, 12, 4, 1, 9, 4, 7, 2, 1, 1, 3, 1, 4, 9, 4, 3, 1, 2, 5, 3, 3, 3, 2, 1, 1, 8, 1, 4, 7, 1, 2, 2, 5, 1, 6, 2, 6, 1, 3, 2, 4, 7, 5, 1, 2, 2, 3, 6, 1, 3, 1, 2, 3, 1, 1, 5, 13, 2, 2, 4, 4, 6, 1, 3, 8, 10, 1, 4, 4, 2, 2, 1, 9, 7, 5, 2, 1, 10, 1, 5, 2, 1, 5, 1, 4, 4, 4, 6, 1, 1, 2, 2, 1, 1, 4, 2, 2, 8, 7, 1, 9, 3, 3, 1, 1, 2, 4, 1, 1, 12, 3, 5, 1, 8, 2, 1, 4, 2, 6, 1, 3, 2, 2, 3, 4, 2, 2, 5, 2, 1, 2, 1, 1, 1, 4, 2, 1, 6, 1, 1, 3, 5, 9, 8, 6, 3, 10, 6, 2, 12, 3, 2, 2, 1, 2, 6, 5, 4, 2, 8, 1, 4, 2, 3, 1, 1, 7, 3, 2, 1, 2, 1, 5, 2, 1, 1, 1, 3, 3, 4, 1, 2, 16, 20, 7, 1, 4, 10, 1, 11, 4, 2, 5, 4, 7, 2, 4, 3, 1, 2, 14, 5, 1, 4, 2, 1, 5, 1, 4, 6, 7, 3, 17, 23, 13, 12, 3, 4, 2, 3, 1, 6, 3, 11, 6, 12, 2, 1, 1, 1, 3, 2, 3, 8, 2, 4, 4, 4, 6, 3, 10, 3, 11, 12, 6, 3, 4, 4, 1, 2, 10, 5, 1, 1, 7, 1, 1, 11, 4, 16, 6, 3, 5, 6, 7, 4, 2, 2, 1, 10, 2, 1, 1, 7, 3, 4, 1, 3, 3, 1, 6, 13, 8, 6, 12, 1, 12, 1, 7, 2, 2, 1, 11, 2, 3, 2, 6, 7, 4, 1, 1, 1, 12, 5, 2, 2, 2, 1, 2, 6, 3, 5, 2, 4, 18, 5, 4, 2, 2, 3, 2, 2, 2, 2, 3, 7, 4, 1, 11, 6, 1, 4, 10, 2, 2, 3, 1, 4, 1, 6, 1, 8, 1, 3, 1, 2, 8, 7, 1, 3, 5, 5, 1, 3, 2, 1, 1, 5, 5, 1, 1, 1, 6, 2, 3, 1, 4, 1, 7, 1, 1, 2, 1, 4, 16, 6, 7, 8, 3, 17, 6, 2, 14, 2, 3, 6, 2, 3, 11, 1, 3, 7, 6, 2, 9, 4, 5, 2, 6, 1, 4, 3, 1, 1, 3, 8, 1, 1, 1, 8, 4, 5, 3, 2, 3, 2, 1, 1, 7, 3, 8, 6, 6, 7, 1, 4, 1, 2, 1, 2, 2, 1, 1, 3, 7, 1, 4, 6, 3, 7, 12, 1, 5, 11, 1, 1, 1, 1, 1, 7, 4, 3, 1, 1, 2, 4, 4, 4, 3, 2, 19, 4, 1, 1, 4, 12, 4, 1, 2, 3, 3, 1, 8, 3, 9, 1, 3, 1, 1, 1, 2, 4, 1, 5, 1, 1, 11, 1, 11, 4, 10, 5, 4, 6, 3, 1, 8, 9, 10, 1, 7, 2, 2, 2, 5, 2, 2, 8, 11, 10, 2, 3, 11, 1, 4, 4, 4, 2, 4, 5, 1, 8, 1, 5, 10, 3, 3, 9, 1, 4, 1, 5, 8, 3, 3, 5, 6, 2, 7, 14, 4, 2, 1, 2, 6, 11, 4, 4, 5, 8, 2, 6, 7, 1, 1, 2, 4, 4, 1, 4, 2, 2, 3, 2, 1, 14, 6, 3, 31, 11, 8, 2, 3, 13, 1, 11, 2, 3, 8, 3, 4, 1, 3, 1, 5, 2, 3, 1, 2, 5, 9, 1, 3, 1, 13, 4, 1, 3, 2, 2, 4, 1, 1, 4, 6, 1, 2, 2, 2, 7, 1, 1, 1, 2, 9, 4, 2, 1, 1, 6, 2, 1, 4, 1, 1, 1, 1, 4, 10, 5, 5, 5, 2, 1, 2, 6, 18, 6, 1, 5, 1, 3, 1, 3, 3, 2, 2, 14, 1, 1, 2, 4, 4, 3, 2, 3, 1, 6, 1, 1, 1, 5, 4, 2, 15, 3, 3, 1, 2, 1, 1, 5, 1, 3, 1, 2, 1, 10, 1, 3, 3, 6, 5, 2, 3, 2, 2, 7, 7, 7, 1, 4, 6, 3, 2, 4, 8, 2, 1, 5, 3, 1, 14, 4, 1, 2, 10, 1, 5, 2, 2, 6, 1, 2, 3, 3, 12, 1, 4, 2, 1, 1, 1, 7, 7, 6, 3, 6, 1, 1, 4, 3, 1, 6, 14, 4, 1, 8, 2, 3, 11, 4, 1, 3, 7, 4, 1, 1, 6, 4, 5, 1, 4, 2, 1, 1, 1, 2, 4, 1, 2, 1, 2, 1, 5, 1, 8, 1, 2, 4, 1, 1, 7, 1, 1, 2, 3, 1, 4, 1, 6, 4, 16, 2, 3, 6, 2, 2, 6, 2, 1, 1, 3, 2, 2, 1, 2, 2, 2, 3, 4, 5, 1, 1, 1, 1, 1, 7, 1, 2, 4, 2, 3, 1, 3, 17, 2, 2, 5, 1, 2, 3, 3, 1, 3, 5, 3, 6, 12, 2, 4, 15, 5, 3, 8, 5, 3, 1, 2, 1, 6, 1, 3, 10, 9, 1, 7, 3, 14, 3, 18, 2, 5, 1, 2, 6, 3, 2, 10, 2, 5, 1, 1, 1, 1, 1, 1, 7, 10, 3, 3, 2, 1, 1, 2, 1, 2, 2, 9, 7, 10, 1, 1, 5, 1, 1, 7, 6, 6, 9, 1, 14, 3, 1, 1, 4, 1, 11, 2, 2, 2, 6, 9, 5, 2, 5, 2, 3, 1, 2, 3, 1, 5, 1, 2, 3, 2, 2, 3, 1, 17, 1, 12, 4, 1, 3, 1, 2, 1, 1, 6, 6, 3, 2, 6, 3, 1, 2, 9, 3, 3, 1, 9, 4, 1, 3, 6, 4, 17, 1, 3, 2, 2, 6, 2, 4, 8, 2, 8, 2, 2, 2, 4, 11, 1, 11, 1, 11, 2, 2, 1, 2, 3, 5, 1, 15, 8, 1, 1, 2, 9, 1, 2, 1, 5, 6, 18, 2, 3, 2, 3, 4, 5, 7, 1, 4, 2, 8, 2, 2, 3, 1, 8, 3, 1, 4, 2, 2, 4, 4, 2, 5, 2, 3, 1, 2, 2, 12, 6, 4, 8, 1, 1, 3, 9, 3, 1, 7, 16, 9, 8, 3, 3, 1, 2, 1, 11, 4, 2, 2, 5, 2, 5, 9, 3, 1, 3, 1, 1, 2, 1, 1, 1, 7, 6, 1, 2, 2, 3, 2, 2, 3, 5, 2, 3, 2, 2, 19, 7, 3, 8, 1, 9, 5, 4, 9, 1, 4, 8, 3, 4, 5, 2, 3, 5, 1, 1, 1, 3, 6, 4, 4, 2, 6, 5, 15, 7, 1, 2, 5, 6, 2, 5, 9, 1, 5, 5, 5, 6, 5, 6, 1, 1, 1, 15, 4, 6, 2, 2, 1, 6, 1, 3, 1, 1, 4, 2, 10, 2, 9, 13, 3, 1, 2, 5, 1, 3, 4, 5, 3, 2, 15, 1, 2, 1, 3, 2, 1, 1, 3, 2, 5, 5, 3, 1, 3, 2, 14, 5, 1, 3, 4, 3, 7, 18, 3, 5, 1, 5, 1, 1, 4, 1, 1, 5, 2, 3, 3, 9, 1, 4, 3, 2, 2, 7, 4, 10, 7, 1, 6, 10, 2, 4, 14, 1, 2, 1, 5, 2, 5, 1, 9, 4, 7, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 4, 3, 1, 1, 4, 1, 2, 1, 15, 8, 10, 1, 6, 2, 4, 14, 4, 3, 1, 1, 7, 1, 5, 1, 1, 2, 9, 6, 7, 3, 1, 6, 3, 1, 3, 4, 4, 1, 9, 7, 4, 2, 4, 1, 3, 3, 4, 1, 7, 3, 3, 1, 2, 7, 4, 4, 3, 1, 7, 1, 3, 2, 2, 10, 3, 2, 1, 5, 15, 1, 2, 8, 6, 2, 1, 2, 1, 2, 1, 2, 5, 5, 9, 10, 12, 3, 17, 6, 4, 9, 3, 1, 8, 2, 1, 4, 2, 5, 2, 1, 1, 8, 1, 5, 1, 3, 1, 5, 1, 3, 2, 3, 12, 2, 2, 2, 5, 4, 2, 3, 2, 2, 3, 1, 1, 1, 9, 1, 5, 2, 7, 1, 12, 1, 4, 4, 3, 1, 10, 5, 9, 4, 6, 3, 2, 2, 4, 2, 1, 3, 6, 1, 3, 2, 2, 5, 1, 5, 1, 13, 1, 9, 9, 1, 3, 11, 2, 10, 5, 2, 10, 1, 1, 5, 2, 2, 8, 9, 5, 1, 4, 1, 1, 3, 3, 7, 12, 1, 2, 1, 2, 1, 1, 2, 3, 3, 2, 9, 3, 7, 2, 1, 4, 3, 1, 2, 6, 10, 1, 1, 5, 17, 3, 2, 5, 1, 2, 4, 4, 8, 4, 20, 1, 4, 7, 2, 3, 3, 7, 3, 3, 1, 6, 2, 1, 4, 3, 1, 7, 1, 25, 1, 7, 2, 6, 7, 6, 1, 2, 2, 2, 1, 13, 3, 1, 2, 1, 3, 4, 4, 3, 4, 14, 2, 1, 2, 4, 2, 3, 3, 8, 3, 1, 1, 7, 11, 6, 1, 1, 8, 2, 5, 1, 7, 14, 1, 1, 4, 4, 6, 2, 6, 6, 9, 4, 7, 11, 2, 1, 10, 2, 2, 1, 2, 1, 1, 9, 1, 3, 6, 5, 2, 4, 13, 1, 9, 7, 4, 12, 2, 4, 1, 20, 4, 1, 1, 2, 1, 3, 2, 3, 11, 2, 10, 6, 2, 2, 9, 3, 1, 1, 4, 5, 7, 1, 11, 3, 3, 3, 7, 8, 7, 1, 3, 2, 6, 6, 6, 3, 1, 2, 2, 1, 4, 10, 8, 1, 8, 2, 1, 4, 2, 4, 4, 3, 3, 6, 4, 4, 2, 2, 9, 1, 4, 1, 5, 1, 1, 3, 5, 15, 1, 14, 2, 3, 1, 6, 6, 4, 10, 5, 3, 16, 1, 5, 13, 2, 1, 1, 1, 2, 5, 3, 10, 1, 2, 2, 2, 1, 1, 2, 7, 1, 2, 12, 7, 18, 1, 2, 8, 1, 1, 1, 2, 1, 1, 2, 1, 1, 6, 14, 3, 6, 2, 13, 1, 2, 2, 9, 5, 4, 6, 3, 2, 8, 1, 1, 8, 1, 1, 8, 7, 5, 2, 4, 3, 1, 2, 1, 1, 3, 1, 2, 1, 1, 6, 2, 6, 1, 1, 2, 4, 1, 3, 4, 4, 2, 6, 3, 2, 4, 7, 2, 7, 3, 1, 1, 1, 9, 2, 5, 2, 4, 2, 4, 1, 3, 6, 6, 4, 1, 4, 4, 4, 1, 1, 4, 1, 2, 5, 3, 1, 3, 2, 4, 10, 2, 4, 5, 7, 7, 8, 7, 5, 2, 3, 2, 2, 17, 2, 5, 2, 2, 2, 4, 4, 7, 12, 1, 2, 1, 7, 3, 7, 3, 1, 2, 11, 1, 10, 1, 3, 1, 8, 1, 2, 5, 2, 5, 5, 7, 11, 1, 2, 1, 2, 2, 1, 9, 2, 6, 2, 2, 2, 4, 1, 5, 2, 1, 2, 6, 1, 4, 10, 3, 3, 1, 2, 8, 4, 4, 4, 1, 8, 1, 9, 4, 6, 1, 1, 11, 4, 3, 2, 4, 3, 7, 6, 3, 7, 4, 5, 7, 3, 2, 1, 2, 1, 1, 10, 1, 4, 4, 1, 3, 3, 10, 8, 18, 1, 1, 4, 5, 11, 3, 1, 5, 2, 3, 12, 11, 7, 11, 8, 1, 2, 14, 1, 4, 3, 3, 14, 6, 7, 3, 3, 6, 8, 1, 11, 6, 1, 1, 3, 7, 4, 1, 7, 7, 2, 6, 7, 5, 4, 8, 1, 3, 1, 2, 6, 3, 2, 12, 2, 2, 4, 1, 1, 15, 4, 2, 1, 1, 4, 6, 10, 1, 5, 1, 2, 4, 10, 7, 5, 2, 2, 18, 3, 3, 5, 4, 1, 12, 7, 3, 1, 2, 4, 2, 2, 3, 6, 3, 1, 5, 1, 2, 2, 1, 5, 8, 1, 1, 5, 1, 4, 7, 1, 2, 1, 1, 2, 1, 3, 4, 1, 6, 2, 1, 1, 2, 2, 1, 2, 2, 7, 2, 6, 7, 2, 3, 1, 1, 2, 3, 2, 2, 4, 1, 4, 6, 7, 6, 8, 5, 2, 4, 2, 4, 2, 2, 1, 1, 3, 13, 5, 1, 10, 2, 3, 5, 5, 13, 11, 18, 7, 3, 4, 3, 11, 1, 1, 1, 3, 1, 4, 4, 6, 3, 7, 3, 2, 2, 5, 3, 4, 6, 2, 1, 8, 2, 1, 1, 2, 5, 5, 2, 5, 9, 2, 19, 3, 4, 12, 4, 16, 1, 1, 2, 2, 6, 4, 1, 1, 1, 2, 5, 7, 1, 2, 5, 8, 15, 1, 2, 2, 7, 5, 3, 5, 5, 4, 2, 1, 1, 2, 3, 8, 8, 2, 1, 3, 6, 1, 3, 1, 3, 5, 1, 9, 1, 4, 4, 2, 4, 1, 11, 5, 3, 2, 1, 2, 5, 3, 2, 2, 2, 1, 3, 2, 5, 1, 1, 1, 1, 2, 2, 1, 2, 6, 2, 8, 1, 10, 9, 7, 6, 2, 1, 4, 1, 4, 1, 5, 8, 5, 9, 3, 4, 1, 13, 4, 3, 8, 1, 2, 1, 3, 7, 8, 5, 6, 1, 3, 1, 4, 1, 1, 5, 6, 2, 1, 1, 1, 2, 1, 4, 1, 3, 1, 4, 3, 3, 7, 6, 2, 5, 1, 2, 2, 7, 4, 4, 6, 9, 4, 5, 1, 1, 8, 5, 2, 20, 7, 2, 6, 1, 6, 4, 12, 4, 3, 7, 4, 12, 3, 3, 3, 15, 3, 4, 3, 3, 8, 7, 3, 1, 10, 3, 6, 2, 1, 4, 2, 1, 1, 4, 14, 27, 1, 1, 2, 11, 4, 2, 2, 5, 1, 2, 3, 10, 2, 2, 1, 1, 2, 14, 9, 2, 1, 4, 3, 6, 13, 3, 2, 7, 2, 10, 3, 13, 11, 1, 11, 3, 4, 3, 6, 1, 6, 3, 2, 11, 2, 6, 4, 2, 7, 2, 13, 2, 4, 6, 18, 2, 1, 7, 3, 1, 8, 4, 1, 4, 5, 2, 8, 4, 1, 1, 2, 2, 1, 6, 4, 3, 7, 1, 1, 1, 1, 2, 1, 15, 2, 5, 3, 2, 3, 5, 1, 1, 2, 3, 3, 2, 3, 16, 3, 6, 1, 4, 9, 2, 5, 1, 7, 2, 4, 14, 2, 4, 4, 2, 4, 2, 6, 1, 7, 1, 6, 1, 7, 13, 4, 2, 8, 4, 5, 4, 2, 8, 1, 1, 5, 1, 2, 7, 2, 1, 3, 3, 3, 3, 4, 2, 4, 2, 1, 4, 1, 1, 1, 4, 4, 2, 3, 13, 2, 1, 20, 4, 1, 1, 2, 2, 2, 8, 1, 1, 3, 4, 5, 5, 5, 3, 3, 12, 12, 3, 2, 6, 3, 2, 1, 5, 6, 3, 2, 6, 1, 1, 1, 11, 3, 8, 2, 3, 6, 2, 1, 4, 3, 7, 1, 3, 14, 6, 3, 4, 3, 5, 1, 11, 6, 14, 1, 1, 2, 3, 5, 2, 4, 2, 2, 2, 4, 7, 2, 2, 1, 14, 3, 8, 2, 2, 3, 3, 1, 3, 3, 6, 2, 10, 1, 1, 2, 8, 15, 7, 4, 1, 10, 3, 8, 3, 1, 5, 2, 7, 1, 1, 7, 4, 1, 9, 1, 1, 5, 15, 1, 1, 2, 3, 2, 7, 3, 1, 1, 2, 2, 8, 4, 6, 9, 3, 2, 2, 4, 2, 1, 3, 4, 11, 1, 2, 2, 1, 5, 4, 2, 1, 3, 6, 3, 3, 1, 1, 1, 2, 5, 19, 3, 4, 7, 1, 2, 1, 17, 3, 1, 5, 2, 4, 9, 3, 1, 3, 2, 1, 4, 2, 3, 3, 3, 3, 6, 2, 1, 1, 3, 6, 3, 2, 3, 2, 2, 2, 3, 3, 3, 4, 2, 2, 21, 3, 1, 1, 2, 7, 3, 1, 3, 5, 2, 3, 3, 9, 2, 13, 1, 2, 7, 4, 6, 7, 16, 4, 2, 3, 5, 3, 2, 10, 5, 3, 4, 1, 1, 1, 3, 2, 2, 2, 6, 3, 7, 13, 3, 25, 6, 2, 5, 4, 1, 4, 6, 2, 1, 2, 12, 1, 6, 2, 9, 2, 1, 14, 11, 5, 6, 1, 2, 8, 5, 3, 7, 2, 1, 1, 2, 5, 1, 8, 1, 5, 2, 1, 8, 3, 1, 2, 4, 1, 2, 2, 2, 1, 3, 5, 2, 3, 2, 2, 12, 3, 4, 4, 5, 9, 13, 1, 12, 1, 4, 1, 2, 6, 5, 7, 4, 3, 11, 2, 3, 6, 1, 2, 1, 1, 9, 2, 2, 1, 1, 5, 7, 21, 9, 2, 2, 4, 4, 2, 1, 2, 1, 5, 1, 4, 1, 1, 1, 1, 4, 3, 1, 2, 3, 4, 4, 2, 7, 5, 4, 5, 10, 3, 1, 11, 15, 3, 2, 5, 11, 2, 1, 2, 4, 3, 4, 3, 4, 18, 2, 1, 4, 1, 6, 5, 3, 1, 1, 8, 2, 1, 9, 3, 5, 1, 1, 3, 4, 2, 7, 4, 2, 3, 3, 6, 1, 1, 2, 4, 2, 1, 4, 1, 1, 1, 13, 1, 5, 6, 2, 4, 6, 4, 7, 6, 7, 1, 1, 4, 11, 7, 2, 3, 1, 4, 3, 5, 9, 3, 6, 2, 3, 9, 1, 1, 1, 4, 1, 2, 4, 13, 3, 5, 12, 4, 1, 13, 6, 6, 5, 4, 2, 1, 3, 1, 1, 2, 8, 1, 2, 7, 8, 4, 3, 3, 4, 4, 3, 1, 1, 6, 2, 6, 1, 2, 12, 1, 1, 4, 1, 8, 3, 6, 10, 2, 6, 5, 5, 4, 3, 1, 2, 5, 1, 11, 9, 14, 1, 2, 4, 11, 1, 6, 12, 5, 6, 4, 3, 14, 2, 6, 1, 3, 1, 2, 6, 21, 3, 13, 2, 4, 5, 3, 7, 4, 2, 1, 1, 4, 2, 4, 2, 1, 4, 1, 1, 3, 4, 2, 4, 8, 10, 1, 2, 1, 1, 1, 2, 3, 5, 2, 7, 3, 17, 1, 1, 8, 3, 5, 1, 3, 1, 1, 8, 1, 4, 2, 7, 8, 14, 8, 6, 1, 3, 11, 1, 1, 1, 2, 3, 6, 3, 3, 5, 10, 3, 2, 2, 1, 6, 1, 3, 6, 2, 3, 2, 1, 2, 3, 4, 1, 4, 1, 5, 3, 1, 9, 1, 8, 3, 1, 1, 12, 1, 1, 8, 5, 3, 7, 3, 9, 1, 1, 1, 1, 3, 3, 3, 7, 3, 3, 2, 1, 1, 9, 1, 2, 7, 1, 3, 2, 2, 2, 7, 6, 5, 2, 8, 2, 1, 8, 13, 2, 3, 11, 1, 11, 1, 3, 7, 3, 2, 1, 2, 1, 2, 2, 6, 5, 1, 2, 9, 2, 2, 1, 4, 2, 4, 3, 1, 2, 3, 2, 9, 8, 8, 9, 1, 1, 7, 9, 3, 3, 1, 1, 2, 3, 3, 10, 5, 2, 2, 9, 2, 3, 4, 3, 3, 13, 14, 1, 4, 7, 1, 5, 7, 2, 2, 3, 10, 4, 1, 3, 2, 2, 14, 10, 13, 3, 1, 1, 1, 6, 6, 2, 3, 1, 1, 5, 2, 4, 6, 2, 6, 3, 6, 1, 3, 2, 1, 1, 5, 8, 2, 3, 3, 8, 3, 5, 2, 3, 7, 1, 7, 6, 6, 3, 7, 1, 6, 1, 5, 4, 3, 1, 2, 2, 2, 2, 1, 4, 2, 1, 6, 1, 1, 10, 3, 1, 7, 12, 3, 1, 3, 3, 12, 4, 2, 7, 3, 5, 5, 1, 1, 2, 5, 2, 12, 1, 2, 8, 30, 1, 1, 5, 2, 2, 3, 3, 2, 8, 3, 1, 3, 1, 2, 1, 1, 3, 2, 1, 1, 4, 2, 5, 1, 11, 4, 22, 1, 1, 1, 1, 3, 8, 2, 6, 4, 3, 2, 5, 6, 2, 2, 2, 2, 7, 3, 1, 5, 5, 5, 3, 3, 3, 2, 3, 1, 3, 1, 2, 1, 3, 17, 4, 5, 7, 12, 1, 6, 4, 1, 2, 9, 5, 11, 9, 2, 1, 7, 1, 2, 2, 2, 2, 14, 7, 2, 1, 1, 6, 2, 11, 4, 2, 16, 1, 5, 1, 5, 1, 7, 4, 3, 3, 1, 6, 2, 11, 2, 3, 3, 1, 1, 6, 1, 3, 1, 7, 1, 1, 1, 4, 9, 5, 2, 2, 4, 1, 4, 5, 3, 5, 2, 7, 3, 1, 9, 1, 3, 3, 4, 5, 2, 1, 2, 1, 6, 2, 3, 6, 4, 3, 2, 3, 3, 3, 1, 5, 4, 6, 15, 2, 2, 1, 6, 7, 6, 1, 4, 6, 1, 2, 9, 1, 2, 1, 1, 2, 5, 8, 21, 1, 4, 6, 1, 9, 1, 2, 3, 6, 1, 3, 1, 2, 1, 8, 12, 8, 3, 2, 1, 3, 3, 2, 1, 6, 8, 1, 7, 4, 4, 2, 1, 2, 5, 2, 2, 13, 12, 8, 1, 1, 6, 1, 1, 2, 3, 8, 7, 2, 2, 4, 1, 1, 2, 1, 12, 5, 3, 2, 12, 2, 14, 2, 4, 3, 4, 1, 1, 2, 4, 4, 2, 3, 4, 6, 2, 2, 1, 2, 3, 3, 2, 2, 5, 5, 4, 18, 3, 11, 3, 10, 11, 3, 14, 2, 3, 2, 2, 5, 1, 2, 3, 19, 1, 5, 8, 5, 3, 4, 6, 4, 2, 4, 1, 1, 3, 2, 4, 4, 13, 4, 1, 4, 2, 1, 5, 2, 3, 5, 22, 13, 5, 2, 1, 2, 1, 4, 3, 2, 5, 5, 2, 3, 5, 12, 1, 1, 2, 3, 4, 3, 6, 16, 5, 3, 6, 2, 2, 4, 3, 3, 3, 1, 3, 2, 4, 5, 4, 1]