LotoPolo Stats — Pattern Analysis

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

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

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

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

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

⚠️ Disclaimer onest: Improvement-urile sunt mici în absolut (sub 1 pp). Nu garantează câștig — ridică doar probabilitatea cu ~17% relativ peste hazard pe sys 2. Loto rămâne fundamental aleator. Sistemul ajută la informare, nu la siguranță.
SYS 1/1
16,754
80 combos · 100% of 16,754
SYS 2/2
16,754
3,160 combos · 100% of 16,754
SYS 3/3
16,754
82,173 combos · 100% of 16,754
SYS 4/4
16,754
1,470,317 combos · 100% of 16,754
SYS 5/5
5,930
24,284,077 combos · 35.4% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 🧠 Smart
Mod: 🚀 Imediat: 🚀 Iminent ⚠️ Sortări (experimentale, nu robust): 🏆 HOT 🧠 Smart ⚖️ Mean Rev 📍 Recent Doar sys 1: 🗓️ DOW 🔗 Anti-Corr
📊 Descriptive (informativ): ⏰ Overdue ❄️ Cold 💥 Bursty 📈 Drifting 📐 Periodic 🔄 Ciclic 🧪 Non-random
⚠️ Vechi (sub random): 🚫 Predict (vechi)

← Înapoi la lista

Combinație #29 = {30} random

Descriptive

Apariții
4156
Mean ± std
4.03 ± 3.47
CV (std/mean)
0.861
Min/Max gap
1 / 32
Last seen
16753 (gap actual: 1)

Percentile gap-uri

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

Streaks & Pattern

Hot streak (consecutive)
7
Cold streak (max absență)
32
Autocorrelation lag-1
0.011
Drift (h2-h1)
-0.03
Best period T
T=28 (entropy=0.001)

Overdue Status

Current gap
1
vs mean (z-score)
-0.87 σ
vs P95
0.09x

Statistical Test (Chi-square)

chi²
61.43
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2909 / 1247 apariții
Mean train
4.08
MAE
2.47
Accuracy
39.4%
Erori per pred
[3,2,3,5,0,6,0,12,3,3,1,0,2,2,1,3,3,3,0,3,2,2,0,3,1,3,2,1,0,1,2,3,1,0,3,3,3,6,3,2,3,3,0,0,5,13,3,1,3,2,3,2,15,0,3,0,1,2,1,3,3,1,9,2,3,1,3,0,1,0,3,3,1,5,3,0,3,8,4,1,0,3,1,2,3,2,3,2,4,0,2,3,3,3,0,2,1,2,0,3,4,0,1,0,3,1,2,7,2,1,3,3,2,3,3,1,1,3,3,5,7,7,1,0,1,1,1,2,2,0,4,2,0,3,2,3,1,3,3,1,2,3,3,1,1,5,0,11,5,1,1,3,4,0,2,1,3,0,1,3,0,1,0,1,3,1,1,3,1,3,3,3,3,2,1,3,1,3,1,2,1,6,5,5,3,0,3,1,3,2,6,2,1,5,1,2,4,0,1,0,3,2,0,0,1,1,2,2,3,0,2,1,2,3,3,3,3,3,3,1,0,0,0,1,3,1,3,3,2,2,2,1,3,6,4,1,2,2,1,2,2,2,1,2,2,4,3,1,6,1,18,3,18,2,3,1,6,3,1,3,0,5,0,3,3,3,0,0,3,0,1,2,4,3,3,0,1,0,2,11,4,3,2,3,2,1,2,1,2,2,0,2,4,3,3,2,0,2,4,2,1,2,3,3,3,2,0,0,3,3,3,3,3,2,2,2,3,7,2,3,0,3,4,1,1,3,0,7,5,3,2,3,0,3,2,7,1,1,1,2,1,3,1,1,3,2,2,2,4,1,2,2,0,0,1,8,4,1,3,0,2,3,6,3,1,2,1,2,1,3,3,0,3,2,3,2,2,3,3,1,2,1,4,1,0,1,1,0,3,7,3,1,2,3,0,4,7,3,3,3,4,0,1,0,1,1,2,1,1,3,0,3,2,3,1,2,1,3,0,10,1,3,2,0,2,3,1,1,2,5,3,3,2,1,2,2,1,1,6,2,3,1,3,2,1,2,3,0,0,11,2,2,3,14,2,2,3,0,0,3,2,3,3,1,1,3,2,2,2,3,1,3,1,3,5,2,3,3,2,2,3,3,1,3,1,3,3,3,1,3,2,3,3,1,3,1,0,2,3,6,2,1,0,2,1,0,1,1,1,10,8,2,3,5,2,0,2,3,1,2,10,2,1,12,2,3,2,3,3,3,0,1,3,3,3,2,9,3,0,2,3,4,2,3,0,2,4,6,4,5,3,3,1,1,0,1,0,0,3,2,1,5,8,1,1,1,3,0,3,3,3,2,5,1,3,0,2,0,2,2,3,3,2,2,2,6,5,2,0,2,3,3,3,1,2,13,1,3,1,0,0,1,2,5,1,7,2,1,3,3,15,5,1,5,3,3,3,5,1,1,2,1,3,6,8,3,10,1,3,6,2,2,0,3,1,3,3,0,2,3,2,1,1,1,3,1,3,2,0,3,0,3,7,1,0,4,1,4,1,1,1,0,3,3,3,6,1,2,2,2,2,3,3,2,1,2,1,3,0,2,3,2,2,2,2,2,1,0,3,3,2,3,3,3,2,3,3,2,0,2,2,3,1,5,2,1,1,3,2,3,0,2,3,2,3,0,1,2,0,2,0,0,0,10,2,3,8,1,2,3,7,2,0,3,2,2,2,1,2,3,1,0,2,1,1,2,3,2,2,3,0,3,1,3,0,3,3,2,3,1,2,3,1,1,2,2,3,0,3,1,3,3,3,9,2,3,3,4,3,2,1,0,3,1,3,0,3,14,7,1,1,3,3,2,1,3,5,2,3,3,3,3,3,6,0,4,2,1,3,1,2,7,2,8,3,0,1,2,0,2,0,3,1,3,3,2,3,6,1,4,3,1,1,3,1,1,3,3,3,6,6,11,0,2,1,2,5,7,7,3,2,1,9,1,1,3,2,3,3,3,1,1,3,1,0,1,0,2,8,2,1,3,0,2,1,3,2,1,1,1,3,3,0,3,3,1,2,1,0,2,2,2,1,2,2,3,3,2,1,0,2,2,1,1,3,6,4,3,8,2,0,1,2,5,2,3,3,0,2,1,9,1,2,2,2,3,3,3,3,6,1,1,3,0,2,1,2,2,2,1,2,3,14,2,1,1,0,4,2,0,0,2,1,0,1,7,3,2,2,3,6,1,8,1,3,0,5,1,2,0,1,1,2,0,2,2,1,6,3,3,3,3,1,1,3,3,3,3,2,1,3,8,3,2,3,9,1,9,3,2,0,2,1,2,2,3,2,2,1,2,2,3,3,1,3,2,3,2,2,3,3,0,3,2,1,1,0,3,4,2,2,0,1,1,3,2,2,3,12,0,3,3,0,3,2,9,3,1,2,3,1,6,2,1,2,1,1,0,0,1,2,8,1,3,3,3,10,2,5,0,1,0,3,1,0,2,2,2,2,2,3,3,3,3,3,1,4,7,3,6,2,1,3,1,3,3,3,3,3,11,1,2,1,2,1,5,1,1,3,11,3,0,3,1,1,0,0,0,3,3,2,1,3,3,4,2,2,3,1,17,0,1,1,0,3,1,7,0,3,2,5,1,3,3,1,4,0,4,3,0,3,2,3,3,1,1,7,1,1,2,5,0,9,1,4,3,1,3,1,0,3,1,2,0,2,1,2,8,1,3,0,5,2,1,3,3,3,1,3,1,2,2,1,3,2,3,0,2,0,4,2,0,3,3,3,2,3,3,7,1,1,3,2,9,3,1,2,1,5,2,3,3,2,0,2,8,2,5,2,2,3,3,1,5,0,3,2,2,5,3,2,0,2,2,3,8,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.569
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.394
Total: 57.1%

🎯 Predicție următoarea apariție

Most likely
draw #16757
±1 sigma window
[16755..16761]
P25-P95 window
[16755..16764]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 24 apariții Extrageri 84-167: 23 apariții Extrageri 168-251: 21 apariții Extrageri 252-335: 22 apariții Extrageri 336-418: 23 apariții Extrageri 419-502: 21 apariții Extrageri 503-586: 23 apariții Extrageri 587-670: 16 apariții Extrageri 671-753: 17 apariții Extrageri 754-837: 30 apariții Extrageri 838-921: 16 apariții Extrageri 922-1005: 17 apariții Extrageri 1006-1089: 17 apariții Extrageri 1090-1172: 18 apariții Extrageri 1173-1256: 14 apariții Extrageri 1257-1340: 12 apariții Extrageri 1341-1424: 18 apariții Extrageri 1425-1507: 19 apariții Extrageri 1508-1591: 27 apariții Extrageri 1592-1675: 23 apariții Extrageri 1676-1759: 13 apariții Extrageri 1760-1842: 22 apariții Extrageri 1843-1926: 15 apariții Extrageri 1927-2010: 20 apariții Extrageri 2011-2094: 24 apariții Extrageri 2095-2178: 16 apariții Extrageri 2179-2261: 23 apariții Extrageri 2262-2345: 18 apariții Extrageri 2346-2429: 25 apariții Extrageri 2430-2513: 28 apariții Extrageri 2514-2596: 15 apariții Extrageri 2597-2680: 26 apariții Extrageri 2681-2764: 16 apariții Extrageri 2765-2848: 23 apariții Extrageri 2849-2931: 27 apariții Extrageri 2932-3015: 22 apariții Extrageri 3016-3099: 24 apariții Extrageri 3100-3183: 23 apariții Extrageri 3184-3267: 16 apariții Extrageri 3268-3350: 24 apariții Extrageri 3351-3434: 28 apariții Extrageri 3435-3518: 27 apariții Extrageri 3519-3602: 33 apariții Extrageri 3603-3685: 18 apariții Extrageri 3686-3769: 21 apariții Extrageri 3770-3853: 19 apariții Extrageri 3854-3937: 22 apariții Extrageri 3938-4020: 22 apariții Extrageri 4021-4104: 21 apariții Extrageri 4105-4188: 14 apariții Extrageri 4189-4272: 24 apariții Extrageri 4273-4356: 17 apariții Extrageri 4357-4439: 20 apariții Extrageri 4440-4523: 23 apariții Extrageri 4524-4607: 24 apariții Extrageri 4608-4691: 27 apariții Extrageri 4692-4774: 19 apariții Extrageri 4775-4858: 25 apariții Extrageri 4859-4942: 18 apariții Extrageri 4943-5026: 21 apariții Extrageri 5027-5109: 21 apariții Extrageri 5110-5193: 27 apariții Extrageri 5194-5277: 20 apariții Extrageri 5278-5361: 20 apariții Extrageri 5362-5445: 20 apariții Extrageri 5446-5528: 20 apariții Extrageri 5529-5612: 21 apariții Extrageri 5613-5696: 18 apariții Extrageri 5697-5780: 15 apariții Extrageri 5781-5863: 22 apariții Extrageri 5864-5947: 16 apariții Extrageri 5948-6031: 17 apariții Extrageri 6032-6115: 22 apariții Extrageri 6116-6198: 20 apariții Extrageri 6199-6282: 23 apariții Extrageri 6283-6366: 17 apariții Extrageri 6367-6450: 17 apariții Extrageri 6451-6534: 18 apariții Extrageri 6535-6617: 20 apariții Extrageri 6618-6701: 29 apariții Extrageri 6702-6785: 19 apariții Extrageri 6786-6869: 18 apariții Extrageri 6870-6952: 22 apariții Extrageri 6953-7036: 16 apariții Extrageri 7037-7120: 22 apariții Extrageri 7121-7204: 23 apariții Extrageri 7205-7287: 19 apariții Extrageri 7288-7371: 12 apariții Extrageri 7372-7455: 21 apariții Extrageri 7456-7539: 21 apariții Extrageri 7540-7623: 23 apariții Extrageri 7624-7706: 26 apariții Extrageri 7707-7790: 28 apariții Extrageri 7791-7874: 18 apariții Extrageri 7875-7958: 22 apariții Extrageri 7959-8041: 22 apariții Extrageri 8042-8125: 23 apariții Extrageri 8126-8209: 20 apariții Extrageri 8210-8293: 15 apariții Extrageri 8294-8377: 10 apariții Extrageri 8378-8460: 26 apariții Extrageri 8461-8544: 22 apariții Extrageri 8545-8628: 16 apariții Extrageri 8629-8712: 23 apariții Extrageri 8713-8795: 25 apariții Extrageri 8796-8879: 17 apariții Extrageri 8880-8963: 17 apariții Extrageri 8964-9047: 19 apariții Extrageri 9048-9130: 19 apariții Extrageri 9131-9214: 25 apariții Extrageri 9215-9298: 25 apariții Extrageri 9299-9382: 21 apariții Extrageri 9383-9466: 23 apariții Extrageri 9467-9549: 20 apariții Extrageri 9550-9633: 22 apariții Extrageri 9634-9717: 24 apariții Extrageri 9718-9801: 20 apariții Extrageri 9802-9884: 24 apariții Extrageri 9885-9968: 18 apariții Extrageri 9969-10052: 18 apariții Extrageri 10053-10136: 22 apariții Extrageri 10137-10219: 14 apariții Extrageri 10220-10303: 22 apariții Extrageri 10304-10387: 21 apariții Extrageri 10388-10471: 14 apariții Extrageri 10472-10555: 14 apariții Extrageri 10556-10638: 19 apariții Extrageri 10639-10722: 20 apariții Extrageri 10723-10806: 19 apariții Extrageri 10807-10890: 17 apariții Extrageri 10891-10973: 20 apariții Extrageri 10974-11057: 19 apariții Extrageri 11058-11141: 24 apariții Extrageri 11142-11225: 19 apariții Extrageri 11226-11308: 20 apariții Extrageri 11309-11392: 20 apariții Extrageri 11393-11476: 19 apariții Extrageri 11477-11560: 23 apariții Extrageri 11561-11644: 19 apariții Extrageri 11645-11727: 15 apariții Extrageri 11728-11811: 19 apariții Extrageri 11812-11895: 24 apariții Extrageri 11896-11979: 24 apariții Extrageri 11980-12062: 22 apariții Extrageri 12063-12146: 18 apariții Extrageri 12147-12230: 22 apariții Extrageri 12231-12314: 21 apariții Extrageri 12315-12397: 19 apariții Extrageri 12398-12481: 18 apariții Extrageri 12482-12565: 27 apariții Extrageri 12566-12649: 18 apariții Extrageri 12650-12733: 28 apariții Extrageri 12734-12816: 23 apariții Extrageri 12817-12900: 11 apariții Extrageri 12901-12984: 23 apariții Extrageri 12985-13068: 22 apariții Extrageri 13069-13151: 26 apariții Extrageri 13152-13235: 20 apariții Extrageri 13236-13319: 19 apariții Extrageri 13320-13403: 25 apariții Extrageri 13404-13486: 19 apariții Extrageri 13487-13570: 23 apariții Extrageri 13571-13654: 20 apariții Extrageri 13655-13738: 28 apariții Extrageri 13739-13822: 24 apariții Extrageri 13823-13905: 16 apariții Extrageri 13906-13989: 24 apariții Extrageri 13990-14073: 17 apariții Extrageri 14074-14157: 23 apariții Extrageri 14158-14240: 18 apariții Extrageri 14241-14324: 14 apariții Extrageri 14325-14408: 14 apariții Extrageri 14409-14492: 24 apariții Extrageri 14493-14575: 24 apariții Extrageri 14576-14659: 26 apariții Extrageri 14660-14743: 22 apariții Extrageri 14744-14827: 23 apariții Extrageri 14828-14911: 31 apariții Extrageri 14912-14994: 22 apariții Extrageri 14995-15078: 18 apariții Extrageri 15079-15162: 20 apariții Extrageri 15163-15246: 19 apariții Extrageri 15247-15329: 21 apariții Extrageri 15330-15413: 25 apariții Extrageri 15414-15497: 23 apariții Extrageri 15498-15581: 20 apariții Extrageri 15582-15664: 19 apariții Extrageri 15665-15748: 27 apariții Extrageri 15749-15832: 27 apariții Extrageri 15833-15916: 23 apariții Extrageri 15917-16000: 21 apariții Extrageri 16001-16083: 23 apariții Extrageri 16084-16167: 20 apariții Extrageri 16168-16251: 20 apariții Extrageri 16252-16335: 17 apariții Extrageri 16336-16418: 16 apariții Extrageri 16419-16502: 19 apariții Extrageri 16503-16586: 27 apariții Extrageri 16587-16670: 19 apariții Extrageri 16671-16754: 20 apariții 0 4189 8377 12566 16754 mean=20.8/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 (20.8 apariții/bin).
Combinația are 4,156 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, 5, 6, 13, 15, 16, 17, 18, 23, 24, 26, 33, 38, 48, 49, 56, 57, 58, 59, 60, 63, 65, 68, 80, 86, 89, 104, 106, 109, 110, 119, 122, 123, 133, 134, 135, 138, 139, 140, 144, 145, 147, 152, 158, 161, 163, 165, 171, 174, 177, 179, 180, 182, 184, 188, 200, 204, 209, 211, 213, 228, 229, 231, 232, 235, 236, 244, 251, 256, 257, 259, 260, 268, 274, 278, 279, 282, 284, 291, 294, 295, 300, 307, 309, 313, 315, 316, 317, 322, 333, 337, 340, 342, 343, 344, 353, 364, 365, 366, 369, 377, 378, 380, 382, 384, 385, 390, 401, 403, 406, 407, 408, 417, 422, 423, 424, 431, 434, 436, 441, 444, 445, 448, 449, 451, 460, 464, 477, 479, 480, 486, 491, 492, 494, 511, 514, 516, 517, 519, 524, 525, 529, 533, 537, 541, 542, 546, 547, 554, 556, 558, 568, 579, 580, 583, 584, 585, 589, 598, 601, 605, 607, 626, 631, 636, 648, 651, 653, 655, 658, 662, 665, 666, 673, 678, 689, 699, 711, 713, 721, 724, 727, 728, 735, 743, 744, 746, 749, 750, 751, 755, 759, 760, 764, 765, 767, 771, 772, 773, 775, 779, 782, 783, 784, 786, 791, 793, 798, 799, 817, 819, 820, 826, 827, 829, 832, 834, 835, 836, 838, 839, 844, 845, 849, 859, 860, 862, 867, 871, 874, 875, 877, 878, 880, 888, 899, 925, 927, 937, 942, 949, 953, 960, 967, 968, 975, 977, 984, 991, 993, 994, 1000, 1006, 1013, 1019, 1023, 1027, 1029, 1035, 1037, 1040, 1046, 1050, 1064, 1075, 1076, 1082, 1083, 1086, 1088, 1091, 1092, 1093, 1095, 1104, 1113, 1114, 1119, 1122, 1127, 1132, 1135, 1137, 1138, 1139, 1146, 1161, 1167, 1178, 1181, 1183, 1192, 1202, 1212, 1217, 1229, 1233, 1234, 1237, 1239, 1245, 1249, 1266, 1284, 1287, 1302, 1304, 1306, 1310, 1313, 1315, 1317, 1325, 1332, 1344, 1353, 1354, 1359, 1369, 1382, 1383, 1384, 1392, 1399, 1402, 1406, 1411, 1412, 1413, 1414, 1416, 1423, 1427, 1428, 1434, 1435, 1443, 1462, 1464, 1468, 1469, 1474, 1476, 1483, 1488, 1489, 1490, 1493, 1496, 1499, 1506, 1512, 1518, 1520, 1523, 1525, 1526, 1528, 1529, 1533, 1535, 1537, 1542, 1545, 1549, 1551, 1553, 1554, 1557, 1558, 1559, 1562, 1563, 1577, 1579, 1580, 1583, 1591, 1594, 1603, 1604, 1607, 1608, 1610, 1611, 1613, 1615, 1619, 1624, 1625, 1629, 1630, 1636, 1646, 1650, 1656, 1657, 1661, 1663, 1664, 1668, 1684, 1694, 1697, 1700, 1720, 1721, 1722, 1724, 1727, 1745, 1749, 1754, 1759, 1765, 1770, 1774, 1779, 1781, 1785, 1791, 1792, 1793, 1794, 1801, 1803, 1810, 1813, 1815, 1818, 1822, 1825, 1834, 1836, 1841, 1842, 1848, 1855, 1861, 1864, 1878, 1882, 1885, 1890, 1893, 1903, 1908, 1910, 1912, 1919, 1925, 1930, 1938, 1944, 1946, 1951, 1954, 1957, 1958, 1967, 1968, 1970, 1971, 1974, 1977, 1978, 1983, 1991, 2000, 2004, 2006, 2012, 2013, 2016, 2019, 2021, 2023, 2027, 2029, 2032, 2035, 2036, 2047, 2049, 2057, 2064, 2072, 2074, 2080, 2083, 2084, 2089, 2090, 2091, 2094, 2103, 2104, 2106, 2116, 2117, 2118, 2134, 2137, 2141, 2142, 2150, 2153, 2170, 2176, 2177, 2178, 2186, 2187, 2190, 2195, 2196, 2203, 2204, 2206, 2208, 2209, 2212, 2215, 2226, 2233, 2239, 2241, 2243, 2248, 2249, 2252, 2255, 2256, 2259, 2264, 2266, 2271, 2285, 2286, 2287, 2290, 2294, 2295, 2303, 2304, 2306, 2311, 2315, 2317, 2321, 2323, 2326, 2347, 2354, 2358, 2360, 2363, 2366, 2376, 2377, 2380, 2381, 2382, 2386, 2388, 2389, 2397, 2399, 2401, 2403, 2410, 2411, 2412, 2421, 2423, 2428, 2430, 2435, 2437, 2438, 2439, 2440, 2442, 2447, 2448, 2449, 2452, 2454, 2455, 2456, 2458, 2460, 2465, 2466, 2473, 2477, 2480, 2482, 2491, 2503, 2505, 2509, 2511, 2512, 2513, 2521, 2526, 2527, 2531, 2536, 2539, 2541, 2561, 2571, 2581, 2582, 2585, 2587, 2592, 2595, 2599, 2600, 2605, 2608, 2610, 2614, 2618, 2620, 2621, 2624, 2629, 2631, 2639, 2643, 2652, 2653, 2655, 2659, 2662, 2663, 2667, 2668, 2677, 2678, 2679, 2680, 2685, 2686, 2688, 2690, 2692, 2698, 2703, 2704, 2706, 2724, 2727, 2739, 2740, 2746, 2755, 2756, 2766, 2768, 2774, 2778, 2779, 2780, 2782, 2783, 2785, 2793, 2794, 2795, 2800, 2807, 2816, 2838, 2839, 2840, 2841, 2843, 2847, 2848, 2849, 2858, 2862, 2867, 2870, 2871, 2872, 2878, 2879, 2880, 2882, 2883, 2884, 2887, 2890, 2893, 2894, 2897, 2908, 2909, 2914, 2916, 2917, 2918, 2919, 2923, 2928, 2932, 2934, 2943, 2946, 2955, 2959, 2973, 2974, 2975, 2979, 2986, 2987, 2989, 2991, 2992, 2993, 2997, 2998, 3001, 3004, 3010, 3013, 3014, 3020, 3021, 3022, 3024, 3033, 3037, 3041, 3042, 3044, 3047, 3049, 3050, 3051, 3053, 3059, 3061, 3062, 3064, 3065, 3068, 3074, 3076, 3080, 3095, 3103, 3106, 3112, 3113, 3114, 3116, 3118, 3121, 3122, 3126, 3127, 3130, 3144, 3153, 3155, 3158, 3164, 3166, 3171, 3172, 3174, 3176, 3184, 3187, 3189, 3191, 3195, 3201, 3204, 3223, 3231, 3238, 3244, 3254, 3258, 3262, 3264, 3265, 3267, 3271, 3278, 3280, 3281, 3282, 3285, 3291, 3295, 3298, 3306, 3308, 3310, 3316, 3318, 3319, 3324, 3325, 3326, 3329, 3330, 3335, 3342, 3346, 3347, 3353, 3357, 3360, 3363, 3367, 3368, 3376, 3377, 3382, 3384, 3388, 3389, 3390, 3391, 3393, 3398, 3400, 3405, 3406, 3407, 3409, 3416, 3418, 3421, 3425, 3427, 3428, 3433, 3439, 3443, 3444, 3448, 3455, 3456, 3459, 3460, 3461, 3462, 3465, 3467, 3469, 3470, 3475, 3479, 3481, 3482, 3484, 3490, 3497, 3501, 3510, 3511, 3513, 3514, 3518, 3520, 3521, 3523, 3525, 3529, 3530, 3531, 3532, 3534, 3538, 3540, 3543, 3544, 3546, 3551, 3553, 3555, 3557, 3559, 3561, 3566, 3571, 3572, 3577, 3578, 3580, 3586, 3588, 3589, 3592, 3599, 3601, 3603, 3605, 3610, 3612, 3614, 3617, 3619, 3622, 3626, 3633, 3637, 3638, 3643, 3657, 3664, 3672, 3674, 3679, 3684, 3688, 3698, 3699, 3710, 3712, 3713, 3716, 3718, 3719, 3720, 3722, 3729, 3732, 3736, 3740, 3741, 3742, 3751, 3755, 3762, 3763, 3771, 3780, 3783, 3785, 3786, 3794, 3801, 3810, 3812, 3815, 3821, 3824, 3827, 3830, 3831, 3838, 3839, 3846, 3852, 3861, 3862, 3864, 3866, 3878, 3883, 3886, 3890, 3898, 3899, 3900, 3907, 3912, 3915, 3917, 3918, 3922, 3923, 3926, 3932, 3935, 3937, 3940, 3945, 3956, 3960, 3962, 3964, 3968, 3970, 3971, 3975, 3979, 3980, 3986, 3993, 4000, 4006, 4011, 4012, 4017, 4018, 4020, 4021, 4024, 4026, 4032, 4036, 4039, 4045, 4053, 4055, 4057, 4058, 4062, 4063, 4065, 4068, 4072, 4078, 4079, 4083, 4084, 4088, 4092, 4109, 4118, 4125, 4127, 4128, 4130, 4137, 4145, 4152, 4155, 4158, 4173, 4175, 4182, 4192, 4195, 4197, 4209, 4210, 4215, 4216, 4218, 4225, 4229, 4230, 4235, 4236, 4238, 4243, 4244, 4245, 4248, 4251, 4252, 4253, 4261, 4265, 4266, 4279, 4282, 4292, 4294, 4299, 4300, 4302, 4307, 4310, 4329, 4331, 4332, 4335, 4345, 4347, 4349, 4351, 4365, 4369, 4371, 4378, 4379, 4386, 4390, 4392, 4396, 4399, 4401, 4411, 4416, 4420, 4423, 4428, 4430, 4432, 4435, 4437, 4446, 4448, 4451, 4454, 4457, 4462, 4464, 4465, 4467, 4469, 4471, 4474, 4475, 4478, 4487, 4489, 4497, 4501, 4506, 4509, 4510, 4512, 4523, 4529, 4532, 4533, 4538, 4541, 4544, 4545, 4552, 4559, 4560, 4561, 4566, 4572, 4573, 4576, 4578, 4586, 4587, 4595, 4597, 4598, 4600, 4605, 4608, 4611, 4614, 4616, 4618, 4620, 4622, 4623, 4624, 4627, 4628, 4631, 4638, 4641, 4642, 4644, 4647, 4649, 4652, 4663, 4664, 4666, 4676, 4679, 4685, 4686, 4689, 4690, 4695, 4697, 4704, 4705, 4707, 4710, 4719, 4722, 4725, 4726, 4752, 4753, 4755, 4757, 4758, 4760, 4763, 4768, 4775, 4778, 4780, 4781, 4786, 4787, 4789, 4792, 4796, 4805, 4806, 4808, 4814, 4817, 4820, 4825, 4832, 4834, 4835, 4837, 4838, 4839, 4847, 4852, 4854, 4858, 4860, 4863, 4865, 4869, 4871, 4874, 4875, 4876, 4884, 4891, 4893, 4903, 4906, 4908, 4910, 4915, 4917, 4941, 4944, 4950, 4953, 4955, 4957, 4962, 4965, 4968, 4973, 4974, 4976, 4978, 4982, 4983, 5000, 5004, 5006, 5007, 5017, 5020, 5024, 5030, 5031, 5038, 5042, 5043, 5044, 5048, 5050, 5053, 5054, 5057, 5062, 5067, 5070, 5071, 5079, 5080, 5086, 5092, 5099, 5104, 5117, 5122, 5127, 5135, 5138, 5146, 5147, 5148, 5149, 5150, 5155, 5158, 5159, 5160, 5164, 5165, 5167, 5171, 5172, 5173, 5174, 5176, 5178, 5179, 5189, 5193, 5194, 5202, 5207, 5210, 5211, 5215, 5221, 5222, 5226, 5231, 5232, 5233, 5240, 5241, 5243, 5247, 5250, 5254, 5263, 5273, 5278, 5283, 5284, 5295, 5297, 5298, 5299, 5301, 5303, 5304, 5306, 5309, 5314, 5315, 5325, 5326, 5332, 5339, 5345, 5348, 5355, 5365, 5373, 5377, 5382, 5384, 5386, 5387, 5389, 5392, 5396, 5413, 5415, 5421, 5423, 5427, 5430, 5432, 5438, 5439, 5446, 5447, 5449, 5454, 5463, 5466, 5470, 5471, 5474, 5482, 5485, 5491, 5494, 5499, 5507, 5509, 5510, 5517, 5521, 5524, 5527, 5532, 5538, 5541, 5543, 5544, 5546, 5550, 5551, 5553, 5555, 5570, 5572, 5576, 5580, 5591, 5592, 5597, 5601, 5605, 5608, 5609, 5615, 5618, 5621, 5628, 5630, 5631, 5637, 5644, 5645, 5650, 5661, 5663, 5674, 5675, 5676, 5677, 5693, 5696, 5700, 5705, 5713, 5717, 5725, 5728, 5734, 5741, 5742, 5743, 5745, 5749, 5752, 5760, 5769, 5784, 5786, 5788, 5793, 5800, 5803, 5804, 5806, 5812, 5813, 5821, 5823, 5824, 5825, 5828, 5835, 5840, 5846, 5847, 5853, 5855, 5864, 5866, 5878, 5881, 5882, 5892, 5894, 5896, 5897, 5898, 5910, 5913, 5920, 5921, 5935, 5945, 5947, 5949, 5950, 5956, 5967, 5969, 5985, 5987, 5994, 5996, 5999, 6000, 6001, 6002, 6011, 6016, 6023, 6025, 6039, 6040, 6042, 6043, 6046, 6055, 6056, 6063, 6066, 6068, 6074, 6077, 6078, 6081, 6085, 6086, 6088, 6098, 6101, 6110, 6114, 6116, 6123, 6124, 6125, 6128, 6130, 6132, 6135, 6137, 6139, 6145, 6150, 6163, 6168, 6171, 6175, 6176, 6178, 6181, 6185, 6195, 6200, 6205, 6213, 6218, 6219, 6222, 6223, 6224, 6226, 6227, 6230, 6242, 6247, 6250, 6255, 6256, 6257, 6263, 6264, 6269, 6270, 6277, 6281, 6287, 6292, 6295, 6298, 6303, 6304, 6307, 6315, 6320, 6324, 6325, 6326, 6329, 6331, 6343, 6348, 6362, 6376, 6382, 6383, 6388, 6391, 6393, 6407, 6414, 6419, 6421, 6424, 6430, 6438, 6442, 6447, 6448, 6451, 6467, 6475, 6483, 6485, 6488, 6495, 6498, 6505, 6506, 6509, 6510, 6514, 6521, 6524, 6525, 6528, 6529, 6533, 6536, 6538, 6544, 6547, 6560, 6561, 6563, 6565, 6567, 6573, 6574, 6577, 6581, 6583, 6593, 6594, 6595, 6607, 6609, 6617, 6620, 6621, 6627, 6629, 6631, 6634, 6636, 6637, 6639, 6645, 6649, 6653, 6654, 6656, 6659, 6660, 6661, 6665, 6668, 6670, 6672, 6674, 6679, 6683, 6684, 6685, 6689, 6691, 6702, 6707, 6708, 6713, 6714, 6717, 6726, 6727, 6732, 6740, 6748, 6753, 6754, 6757, 6758, 6764, 6772, 6778, 6779, 6784, 6790, 6798, 6799, 6804, 6806, 6814, 6818, 6822, 6823, 6825, 6826, 6829, 6833, 6835, 6845, 6858, 6866, 6869, 6873, 6875, 6876, 6887, 6889, 6890, 6893, 6894, 6900, 6907, 6909, 6915, 6920, 6921, 6922, 6923, 6924, 6933, 6935, 6937, 6948, 6951, 6955, 6959, 6964, 6968, 6970, 6972, 6980, 6984, 6993, 6995, 7006, 7007, 7018, 7029, 7030, 7033, 7038, 7040, 7041, 7044, 7048, 7049, 7054, 7055, 7069, 7070, 7072, 7076, 7078, 7080, 7087, 7094, 7097, 7106, 7107, 7115, 7117, 7119, 7122, 7125, 7128, 7134, 7137, 7154, 7156, 7157, 7158, 7161, 7162, 7166, 7170, 7176, 7180, 7182, 7187, 7189, 7193, 7197, 7198, 7201, 7202, 7209, 7214, 7218, 7222, 7226, 7241, 7242, 7244, 7245, 7251, 7252, 7254, 7261, 7269, 7274, 7277, 7280, 7282, 7284, 7291, 7300, 7307, 7314, 7319, 7322, 7327, 7343, 7350, 7362, 7364, 7372, 7387, 7391, 7394, 7396, 7402, 7405, 7409, 7411, 7412, 7417, 7423, 7425, 7427, 7428, 7438, 7439, 7441, 7445, 7450, 7452, 7454, 7465, 7468, 7473, 7475, 7476, 7486, 7487, 7495, 7498, 7500, 7501, 7510, 7512, 7518, 7520, 7521, 7527, 7529, 7533, 7534, 7539, 7543, 7545, 7546, 7547, 7550, 7552, 7554, 7555, 7561, 7577, 7578, 7580, 7584, 7586, 7588, 7589, 7590, 7593, 7598, 7606, 7610, 7617, 7624, 7629, 7631, 7642, 7646, 7647, 7649, 7650, 7654, 7659, 7661, 7662, 7665, 7670, 7675, 7682, 7691, 7692, 7695, 7696, 7697, 7698, 7699, 7700, 7702, 7703, 7706, 7710, 7711, 7713, 7714, 7715, 7717, 7721, 7723, 7727, 7729, 7731, 7732, 7735, 7742, 7743, 7747, 7749, 7751, 7754, 7760, 7771, 7774, 7775, 7777, 7779, 7782, 7783, 7787, 7795, 7796, 7797, 7800, 7810, 7812, 7820, 7826, 7827, 7831, 7833, 7839, 7843, 7850, 7852, 7861, 7867, 7875, 7876, 7881, 7887, 7892, 7895, 7897, 7901, 7907, 7908, 7916, 7917, 7918, 7919, 7927, 7932, 7937, 7940, 7941, 7947, 7951, 7956, 7959, 7965, 7967, 7981, 7982, 7984, 7990, 7994, 7995, 7997, 7998, 7999, 8002, 8005, 8009, 8010, 8013, 8016, 8018, 8025, 8028, 8037, 8042, 8044, 8046, 8056, 8057, 8059, 8060, 8061, 8062, 8063, 8072, 8074, 8081, 8083, 8088, 8093, 8094, 8099, 8100, 8102, 8103, 8107, 8109, 8122, 8127, 8132, 8134, 8135, 8136, 8140, 8143, 8146, 8147, 8148, 8152, 8159, 8169, 8182, 8187, 8189, 8192, 8193, 8199, 8205, 8217, 8225, 8226, 8228, 8229, 8231, 8233, 8235, 8238, 8242, 8263, 8271, 8278, 8286, 8292, 8297, 8298, 8301, 8313, 8315, 8331, 8335, 8352, 8361, 8367, 8381, 8383, 8388, 8389, 8395, 8396, 8397, 8399, 8407, 8409, 8411, 8413, 8414, 8418, 8425, 8430, 8433, 8436, 8437, 8439, 8443, 8447, 8448, 8451, 8457, 8459, 8462, 8466, 8467, 8475, 8476, 8498, 8504, 8506, 8508, 8509, 8514, 8518, 8519, 8520, 8522, 8523, 8524, 8528, 8536, 8538, 8542, 8544, 8547, 8556, 8559, 8560, 8566, 8569, 8594, 8595, 8599, 8603, 8608, 8610, 8611, 8614, 8617, 8620, 8632, 8637, 8647, 8649, 8654, 8661, 8666, 8667, 8668, 8670, 8679, 8681, 8682, 8689, 8691, 8692, 8694, 8695, 8698, 8702, 8703, 8706, 8710, 8720, 8722, 8725, 8730, 8734, 8740, 8743, 8747, 8754, 8755, 8757, 8758, 8763, 8767, 8768, 8770, 8772, 8776, 8777, 8779, 8781, 8782, 8787, 8789, 8794, 8805, 8809, 8810, 8811, 8829, 8838, 8841, 8842, 8849, 8852, 8861, 8862, 8863, 8872, 8874, 8876, 8878, 8881, 8886, 8889, 8892, 8902, 8913, 8921, 8923, 8929, 8936, 8947, 8953, 8957, 8958, 8959, 8962, 8963, 8970, 8971, 8979, 8994, 8996, 8999, 9004, 9007, 9012, 9013, 9014, 9016, 9025, 9026, 9030, 9031, 9039, 9044, 9045, 9049, 9053, 9057, 9059, 9060, 9063, 9065, 9066, 9068, 9087, 9097, 9101, 9102, 9103, 9111, 9115, 9116, 9118, 9129, 9134, 9135, 9137, 9139, 9141, 9142, 9145, 9155, 9159, 9161, 9162, 9164, 9165, 9168, 9174, 9176, 9177, 9181, 9193, 9202, 9204, 9209, 9211, 9212, 9215, 9220, 9221, 9226, 9228, 9229, 9230, 9239, 9240, 9241, 9248, 9249, 9253, 9257, 9261, 9266, 9269, 9275, 9278, 9283, 9287, 9290, 9292, 9295, 9298, 9299, 9305, 9307, 9308, 9310, 9320, 9323, 9328, 9334, 9338, 9347, 9348, 9350, 9353, 9355, 9360, 9363, 9369, 9371, 9374, 9380, 9381, 9398, 9399, 9401, 9402, 9405, 9406, 9410, 9415, 9417, 9418, 9422, 9427, 9429, 9431, 9437, 9438, 9442, 9451, 9452, 9456, 9457, 9462, 9465, 9469, 9479, 9483, 9486, 9489, 9491, 9493, 9496, 9499, 9500, 9513, 9514, 9517, 9520, 9521, 9524, 9541, 9542, 9545, 9548, 9551, 9555, 9562, 9565, 9568, 9569, 9571, 9572, 9573, 9583, 9585, 9591, 9603, 9604, 9607, 9610, 9616, 9621, 9623, 9627, 9628, 9634, 9639, 9644, 9645, 9648, 9650, 9651, 9653, 9654, 9659, 9662, 9666, 9667, 9668, 9673, 9674, 9681, 9697, 9699, 9701, 9703, 9706, 9708, 9712, 9713, 9719, 9722, 9727, 9728, 9729, 9731, 9734, 9745, 9750, 9755, 9758, 9763, 9768, 9771, 9775, 9783, 9785, 9786, 9794, 9802, 9809, 9815, 9820, 9821, 9825, 9826, 9831, 9834, 9839, 9844, 9846, 9854, 9856, 9859, 9860, 9861, 9862, 9865, 9867, 9869, 9871, 9879, 9880, 9885, 9891, 9892, 9894, 9895, 9897, 9905, 9908, 9912, 9916, 9917, 9922, 9935, 9941, 9957, 9960, 9961, 9968, 9969, 9970, 9976, 9982, 9983, 9984, 9988, 9990, 9993, 10002, 10003, 10014, 10021, 10023, 10027, 10032, 10034, 10041, 10053, 10069, 10073, 10077, 10081, 10083, 10085, 10092, 10093, 10098, 10101, 10109, 10110, 10112, 10115, 10116, 10117, 10122, 10127, 10131, 10132, 10135, 10137, 10138, 10142, 10152, 10153, 10171, 10175, 10178, 10182, 10190, 10195, 10209, 10211, 10214, 10219, 10230, 10231, 10236, 10241, 10243, 10246, 10252, 10257, 10258, 10261, 10262, 10263, 10267, 10269, 10270, 10283, 10284, 10286, 10291, 10294, 10298, 10301, 10305, 10306, 10311, 10317, 10344, 10348, 10349, 10350, 10352, 10358, 10362, 10363, 10369, 10370, 10371, 10373, 10374, 10379, 10382, 10384, 10386, 10390, 10400, 10403, 10413, 10420, 10422, 10424, 10426, 10431, 10436, 10447, 10450, 10452, 10454, 10475, 10478, 10482, 10483, 10492, 10499, 10509, 10515, 10518, 10519, 10524, 10533, 10538, 10543, 10558, 10564, 10566, 10572, 10573, 10578, 10579, 10581, 10588, 10591, 10597, 10602, 10610, 10616, 10623, 10627, 10629, 10634, 10636, 10646, 10650, 10655, 10662, 10666, 10675, 10676, 10678, 10682, 10683, 10687, 10688, 10691, 10697, 10698, 10699, 10705, 10707, 10709, 10710, 10728, 10731, 10733, 10734, 10737, 10739, 10743, 10745, 10751, 10754, 10759, 10768, 10770, 10776, 10778, 10791, 10795, 10800, 10803, 10818, 10822, 10823, 10826, 10834, 10839, 10843, 10845, 10848, 10850, 10853, 10855, 10857, 10860, 10871, 10876, 10881, 10892, 10898, 10907, 10910, 10924, 10925, 10929, 10930, 10932, 10934, 10935, 10941, 10950, 10954, 10961, 10962, 10965, 10967, 10969, 10972, 10977, 10983, 10994, 10996, 11000, 11004, 11007, 11009, 11010, 11023, 11027, 11029, 11031, 11032, 11037, 11045, 11050, 11054, 11055, 11061, 11063, 11067, 11069, 11074, 11078, 11087, 11091, 11092, 11093, 11098, 11099, 11100, 11101, 11104, 11108, 11114, 11115, 11117, 11118, 11120, 11132, 11133, 11136, 11145, 11160, 11163, 11167, 11168, 11173, 11181, 11185, 11186, 11190, 11191, 11197, 11198, 11206, 11207, 11209, 11211, 11214, 11216, 11228, 11231, 11237, 11239, 11247, 11249, 11252, 11257, 11260, 11267, 11270, 11275, 11277, 11290, 11291, 11292, 11295, 11305, 11307, 11308, 11311, 11314, 11320, 11324, 11339, 11340, 11341, 11343, 11344, 11345, 11355, 11356, 11362, 11363, 11372, 11375, 11383, 11385, 11390, 11391, 11401, 11406, 11411, 11415, 11417, 11419, 11422, 11424, 11428, 11439, 11447, 11449, 11451, 11460, 11461, 11462, 11463, 11467, 11471, 11481, 11492, 11500, 11501, 11502, 11505, 11508, 11509, 11510, 11514, 11522, 11526, 11528, 11536, 11537, 11539, 11541, 11548, 11549, 11553, 11556, 11559, 11561, 11569, 11576, 11584, 11587, 11588, 11590, 11600, 11606, 11607, 11612, 11615, 11622, 11625, 11632, 11633, 11634, 11636, 11637, 11643, 11648, 11654, 11658, 11665, 11670, 11671, 11673, 11676, 11708, 11715, 11716, 11718, 11719, 11724, 11725, 11730, 11739, 11741, 11742, 11746, 11747, 11750, 11753, 11754, 11756, 11763, 11778, 11784, 11787, 11793, 11803, 11804, 11806, 11810, 11814, 11816, 11817, 11818, 11820, 11823, 11825, 11828, 11836, 11846, 11850, 11855, 11858, 11859, 11861, 11862, 11864, 11868, 11871, 11872, 11874, 11875, 11884, 11888, 11898, 11902, 11918, 11919, 11920, 11923, 11927, 11929, 11931, 11936, 11937, 11938, 11939, 11943, 11944, 11950, 11952, 11956, 11963, 11968, 11969, 11971, 11974, 11978, 11981, 11983, 11990, 11993, 11997, 11998, 11999, 12000, 12010, 12011, 12013, 12014, 12015, 12019, 12023, 12032, 12049, 12050, 12053, 12054, 12060, 12061, 12067, 12086, 12090, 12097, 12101, 12104, 12106, 12111, 12112, 12113, 12116, 12129, 12131, 12132, 12135, 12136, 12140, 12145, 12149, 12150, 12151, 12154, 12163, 12164, 12168, 12169, 12181, 12189, 12192, 12196, 12197, 12200, 12202, 12203, 12205, 12206, 12208, 12216, 12220, 12226, 12233, 12234, 12235, 12239, 12241, 12244, 12250, 12254, 12255, 12263, 12267, 12272, 12276, 12283, 12286, 12288, 12299, 12301, 12304, 12311, 12312, 12318, 12319, 12320, 12325, 12330, 12331, 12332, 12341, 12352, 12363, 12366, 12370, 12375, 12378, 12381, 12383, 12385, 12389, 12397, 12403, 12407, 12414, 12416, 12417, 12420, 12421, 12422, 12425, 12427, 12428, 12435, 12438, 12443, 12452, 12456, 12471, 12480, 12483, 12486, 12487, 12495, 12499, 12501, 12506, 12507, 12511, 12514, 12515, 12519, 12524, 12528, 12531, 12532, 12535, 12538, 12539, 12542, 12543, 12550, 12551, 12552, 12558, 12563, 12564, 12569, 12570, 12575, 12577, 12582, 12592, 12601, 12610, 12611, 12615, 12616, 12619, 12620, 12622, 12632, 12634, 12639, 12648, 12651, 12657, 12665, 12669, 12672, 12676, 12677, 12679, 12683, 12687, 12690, 12695, 12697, 12699, 12700, 12704, 12710, 12715, 12717, 12718, 12719, 12720, 12721, 12722, 12723, 12726, 12730, 12734, 12738, 12741, 12742, 12747, 12748, 12749, 12751, 12753, 12755, 12758, 12759, 12769, 12777, 12782, 12784, 12786, 12789, 12791, 12797, 12799, 12804, 12806, 12812, 12820, 12821, 12826, 12836, 12839, 12861, 12862, 12884, 12890, 12891, 12894, 12904, 12905, 12908, 12909, 12913, 12922, 12926, 12927, 12934, 12935, 12939, 12943, 12944, 12948, 12951, 12953, 12961, 12962, 12963, 12967, 12972, 12976, 12978, 12993, 13001, 13002, 13004, 13005, 13007, 13012, 13014, 13017, 13019, 13025, 13029, 13031, 13039, 13040, 13041, 13043, 13047, 13049, 13057, 13063, 13066, 13072, 13073, 13074, 13081, 13083, 13087, 13091, 13092, 13093, 13094, 13095, 13096, 13098, 13100, 13102, 13103, 13114, 13120, 13121, 13125, 13126, 13134, 13137, 13142, 13143, 13147, 13158, 13167, 13168, 13170, 13171, 13175, 13182, 13188, 13199, 13204, 13207, 13212, 13214, 13219, 13220, 13223, 13228, 13229, 13231, 13233, 13239, 13247, 13250, 13252, 13258, 13262, 13266, 13269, 13281, 13289, 13292, 13293, 13297, 13299, 13300, 13310, 13311, 13316, 13318, 13321, 13323, 13328, 13335, 13336, 13340, 13341, 13343, 13344, 13350, 13352, 13353, 13354, 13359, 13361, 13364, 13372, 13377, 13381, 13384, 13387, 13391, 13392, 13403, 13404, 13407, 13409, 13416, 13420, 13428, 13439, 13440, 13441, 13448, 13456, 13460, 13463, 13467, 13470, 13475, 13477, 13480, 13483, 13484, 13488, 13489, 13491, 13492, 13495, 13497, 13500, 13501, 13505, 13519, 13522, 13523, 13529, 13533, 13539, 13546, 13549, 13552, 13554, 13563, 13564, 13565, 13567, 13572, 13574, 13576, 13581, 13584, 13594, 13596, 13597, 13600, 13607, 13613, 13618, 13620, 13621, 13625, 13629, 13644, 13646, 13648, 13649, 13667, 13669, 13671, 13672, 13676, 13680, 13681, 13683, 13684, 13685, 13688, 13691, 13692, 13694, 13696, 13698, 13699, 13702, 13709, 13712, 13713, 13722, 13724, 13725, 13726, 13732, 13734, 13735, 13742, 13745, 13746, 13749, 13756, 13757, 13758, 13763, 13764, 13770, 13771, 13772, 13775, 13776, 13779, 13783, 13789, 13790, 13800, 13802, 13805, 13809, 13815, 13820, 13824, 13827, 13832, 13837, 13851, 13863, 13865, 13866, 13875, 13877, 13881, 13883, 13884, 13889, 13891, 13905, 13907, 13910, 13926, 13928, 13929, 13931, 13932, 13933, 13934, 13938, 13941, 13948, 13949, 13950, 13952, 13965, 13966, 13970, 13972, 13973, 13981, 13983, 13984, 13988, 13994, 14002, 14012, 14020, 14029, 14030, 14031, 14034, 14037, 14041, 14044, 14048, 14052, 14053, 14055, 14058, 14067, 14079, 14082, 14085, 14090, 14091, 14095, 14096, 14097, 14098, 14104, 14113, 14116, 14123, 14127, 14129, 14133, 14139, 14141, 14142, 14143, 14149, 14151, 14153, 14163, 14172, 14174, 14178, 14180, 14181, 14188, 14189, 14194, 14196, 14213, 14216, 14217, 14222, 14226, 14230, 14235, 14241, 14250, 14253, 14264, 14266, 14269, 14270, 14271, 14290, 14299, 14304, 14313, 14320, 14321, 14322, 14331, 14334, 14337, 14343, 14348, 14349, 14359, 14371, 14372, 14386, 14389, 14396, 14406, 14408, 14410, 14414, 14415, 14418, 14425, 14426, 14430, 14432, 14433, 14435, 14438, 14441, 14444, 14445, 14448, 14455, 14457, 14461, 14462, 14466, 14467, 14478, 14483, 14487, 14495, 14498, 14506, 14511, 14514, 14519, 14523, 14524, 14525, 14526, 14536, 14539, 14541, 14543, 14545, 14547, 14554, 14555, 14561, 14564, 14566, 14569, 14570, 14574, 14580, 14581, 14583, 14585, 14587, 14589, 14591, 14594, 14598, 14599, 14606, 14608, 14609, 14610, 14611, 14613, 14614, 14615, 14621, 14625, 14631, 14633, 14640, 14643, 14652, 14658, 14661, 14664, 14665, 14667, 14668, 14672, 14674, 14681, 14683, 14684, 14688, 14691, 14697, 14701, 14703, 14707, 14711, 14715, 14729, 14731, 14732, 14744, 14749, 14751, 14752, 14763, 14765, 14769, 14770, 14772, 14774, 14780, 14783, 14785, 14792, 14795, 14799, 14805, 14808, 14813, 14815, 14816, 14818, 14824, 14825, 14829, 14830, 14833, 14834, 14838, 14839, 14840, 14842, 14843, 14846, 14848, 14849, 14852, 14857, 14859, 14861, 14862, 14866, 14873, 14876, 14877, 14878, 14879, 14892, 14894, 14895, 14896, 14904, 14905, 14907, 14912, 14916, 14917, 14922, 14923, 14927, 14928, 14946, 14957, 14960, 14963, 14964, 14965, 14967, 14970, 14971, 14980, 14986, 14987, 14988, 14989, 14990, 14991, 15001, 15005, 15013, 15019, 15024, 15025, 15030, 15032, 15043, 15045, 15057, 15058, 15062, 15067, 15069, 15073, 15075, 15079, 15080, 15085, 15086, 15087, 15089, 15090, 15100, 15103, 15111, 15112, 15115, 15118, 15119, 15122, 15127, 15128, 15129, 15130, 15140, 15150, 15165, 15169, 15171, 15174, 15176, 15185, 15196, 15207, 15208, 15210, 15213, 15226, 15231, 15234, 15235, 15237, 15238, 15239, 15246, 15249, 15252, 15253, 15256, 15260, 15265, 15269, 15271, 15283, 15285, 15288, 15295, 15299, 15301, 15304, 15305, 15311, 15314, 15319, 15324, 15325, 15332, 15336, 15337, 15338, 15343, 15349, 15352, 15356, 15358, 15360, 15362, 15365, 15371, 15373, 15374, 15375, 15377, 15380, 15384, 15390, 15392, 15397, 15400, 15401, 15411, 15419, 15420, 15432, 15434, 15438, 15443, 15445, 15454, 15456, 15457, 15458, 15462, 15464, 15467, 15480, 15483, 15485, 15487, 15489, 15490, 15491, 15492, 15493, 15503, 15506, 15509, 15510, 15514, 15516, 15519, 15521, 15523, 15525, 15530, 15532, 15539, 15557, 15559, 15564, 15567, 15571, 15579, 15581, 15585, 15589, 15591, 15594, 15598, 15603, 15614, 15615, 15617, 15619, 15620, 15630, 15633, 15645, 15648, 15649, 15653, 15662, 15665, 15671, 15675, 15680, 15683, 15685, 15689, 15691, 15693, 15696, 15706, 15707, 15708, 15709, 15710, 15713, 15716, 15717, 15718, 15719, 15720, 15722, 15725, 15726, 15738, 15739, 15741, 15742, 15755, 15758, 15771, 15772, 15778, 15782, 15784, 15787, 15789, 15791, 15792, 15794, 15796, 15801, 15803, 15805, 15806, 15807, 15812, 15813, 15819, 15820, 15822, 15824, 15825, 15826, 15830, 15837, 15839, 15842, 15845, 15849, 15850, 15858, 15860, 15862, 15866, 15869, 15872, 15873, 15875, 15881, 15882, 15898, 15902, 15903, 15904, 15908, 15909, 15911, 15924, 15925, 15928, 15930, 15931, 15934, 15944, 15946, 15949, 15951, 15954, 15959, 15963, 15967, 15972, 15974, 15986, 15991, 15992, 15993, 15994, 16008, 16010, 16019, 16023, 16026, 16030, 16031, 16034, 16038, 16040, 16042, 16044, 16050, 16052, 16053, 16054, 16055, 16056, 16057, 16060, 16068, 16079, 16080, 16090, 16092, 16097, 16098, 16103, 16104, 16105, 16106, 16113, 16114, 16129, 16134, 16136, 16139, 16141, 16144, 16153, 16158, 16163, 16164, 16179, 16180, 16184, 16185, 16190, 16195, 16199, 16203, 16207, 16208, 16209, 16211, 16216, 16223, 16230, 16238, 16240, 16242, 16243, 16246, 16267, 16271, 16276, 16281, 16285, 16286, 16289, 16300, 16304, 16305, 16307, 16316, 16319, 16320, 16321, 16326, 16334, 16338, 16346, 16353, 16357, 16358, 16364, 16365, 16366, 16369, 16372, 16383, 16386, 16391, 16397, 16406, 16410, 16423, 16426, 16434, 16435, 16440, 16441, 16446, 16450, 16451, 16454, 16456, 16460, 16466, 16471, 16477, 16489, 16492, 16493, 16497, 16506, 16512, 16515, 16516, 16523, 16524, 16529, 16530, 16535, 16537, 16539, 16542, 16543, 16545, 16546, 16550, 16552, 16556, 16564, 16570, 16574, 16575, 16582, 16583, 16585, 16586, 16587, 16598, 16601, 16606, 16607, 16609, 16622, 16623, 16626, 16628, 16631, 16640, 16646, 16647, 16648, 16650, 16654, 16656, 16668, 16670, 16679, 16681, 16683, 16690, 16691, 16696, 16705, 16709, 16710, 16712, 16714, 16723, 16724, 16726, 16730, 16732, 16738, 16739, 16751, 16753]
Gap-uri:
[1, 1, 7, 2, 1, 1, 1, 5, 1, 2, 7, 5, 10, 1, 7, 1, 1, 1, 1, 3, 2, 3, 12, 6, 3, 15, 2, 3, 1, 9, 3, 1, 10, 1, 1, 3, 1, 1, 4, 1, 2, 5, 6, 3, 2, 2, 6, 3, 3, 2, 1, 2, 2, 4, 12, 4, 5, 2, 2, 15, 1, 2, 1, 3, 1, 8, 7, 5, 1, 2, 1, 8, 6, 4, 1, 3, 2, 7, 3, 1, 5, 7, 2, 4, 2, 1, 1, 5, 11, 4, 3, 2, 1, 1, 9, 11, 1, 1, 3, 8, 1, 2, 2, 2, 1, 5, 11, 2, 3, 1, 1, 9, 5, 1, 1, 7, 3, 2, 5, 3, 1, 3, 1, 2, 9, 4, 13, 2, 1, 6, 5, 1, 2, 17, 3, 2, 1, 2, 5, 1, 4, 4, 4, 4, 1, 4, 1, 7, 2, 2, 10, 11, 1, 3, 1, 1, 4, 9, 3, 4, 2, 19, 5, 5, 12, 3, 2, 2, 3, 4, 3, 1, 7, 5, 11, 10, 12, 2, 8, 3, 3, 1, 7, 8, 1, 2, 3, 1, 1, 4, 4, 1, 4, 1, 2, 4, 1, 1, 2, 4, 3, 1, 1, 2, 5, 2, 5, 1, 18, 2, 1, 6, 1, 2, 3, 2, 1, 1, 2, 1, 5, 1, 4, 10, 1, 2, 5, 4, 3, 1, 2, 1, 2, 8, 11, 26, 2, 10, 5, 7, 4, 7, 7, 1, 7, 2, 7, 7, 2, 1, 6, 6, 7, 6, 4, 4, 2, 6, 2, 3, 6, 4, 14, 11, 1, 6, 1, 3, 2, 3, 1, 1, 2, 9, 9, 1, 5, 3, 5, 5, 3, 2, 1, 1, 7, 15, 6, 11, 3, 2, 9, 10, 10, 5, 12, 4, 1, 3, 2, 6, 4, 17, 18, 3, 15, 2, 2, 4, 3, 2, 2, 8, 7, 12, 9, 1, 5, 10, 13, 1, 1, 8, 7, 3, 4, 5, 1, 1, 1, 2, 7, 4, 1, 6, 1, 8, 19, 2, 4, 1, 5, 2, 7, 5, 1, 1, 3, 3, 3, 7, 6, 6, 2, 3, 2, 1, 2, 1, 4, 2, 2, 5, 3, 4, 2, 2, 1, 3, 1, 1, 3, 1, 14, 2, 1, 3, 8, 3, 9, 1, 3, 1, 2, 1, 2, 2, 4, 5, 1, 4, 1, 6, 10, 4, 6, 1, 4, 2, 1, 4, 16, 10, 3, 3, 20, 1, 1, 2, 3, 18, 4, 5, 5, 6, 5, 4, 5, 2, 4, 6, 1, 1, 1, 7, 2, 7, 3, 2, 3, 4, 3, 9, 2, 5, 1, 6, 7, 6, 3, 14, 4, 3, 5, 3, 10, 5, 2, 2, 7, 6, 5, 8, 6, 2, 5, 3, 3, 1, 9, 1, 2, 1, 3, 3, 1, 5, 8, 9, 4, 2, 6, 1, 3, 3, 2, 2, 4, 2, 3, 3, 1, 11, 2, 8, 7, 8, 2, 6, 3, 1, 5, 1, 1, 3, 9, 1, 2, 10, 1, 1, 16, 3, 4, 1, 8, 3, 17, 6, 1, 1, 8, 1, 3, 5, 1, 7, 1, 2, 2, 1, 3, 3, 11, 7, 6, 2, 2, 5, 1, 3, 3, 1, 3, 5, 2, 5, 14, 1, 1, 3, 4, 1, 8, 1, 2, 5, 4, 2, 4, 2, 3, 21, 7, 4, 2, 3, 3, 10, 1, 3, 1, 1, 4, 2, 1, 8, 2, 2, 2, 7, 1, 1, 9, 2, 5, 2, 5, 2, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 1, 2, 2, 5, 1, 7, 4, 3, 2, 9, 12, 2, 4, 2, 1, 1, 8, 5, 1, 4, 5, 3, 2, 20, 10, 10, 1, 3, 2, 5, 3, 4, 1, 5, 3, 2, 4, 4, 2, 1, 3, 5, 2, 8, 4, 9, 1, 2, 4, 3, 1, 4, 1, 9, 1, 1, 1, 5, 1, 2, 2, 2, 6, 5, 1, 2, 18, 3, 12, 1, 6, 9, 1, 10, 2, 6, 4, 1, 1, 2, 1, 2, 8, 1, 1, 5, 7, 9, 22, 1, 1, 1, 2, 4, 1, 1, 9, 4, 5, 3, 1, 1, 6, 1, 1, 2, 1, 1, 3, 3, 3, 1, 3, 11, 1, 5, 2, 1, 1, 1, 4, 5, 4, 2, 9, 3, 9, 4, 14, 1, 1, 4, 7, 1, 2, 2, 1, 1, 4, 1, 3, 3, 6, 3, 1, 6, 1, 1, 2, 9, 4, 4, 1, 2, 3, 2, 1, 1, 2, 6, 2, 1, 2, 1, 3, 6, 2, 4, 15, 8, 3, 6, 1, 1, 2, 2, 3, 1, 4, 1, 3, 14, 9, 2, 3, 6, 2, 5, 1, 2, 2, 8, 3, 2, 2, 4, 6, 3, 19, 8, 7, 6, 10, 4, 4, 2, 1, 2, 4, 7, 2, 1, 1, 3, 6, 4, 3, 8, 2, 2, 6, 2, 1, 5, 1, 1, 3, 1, 5, 7, 4, 1, 6, 4, 3, 3, 4, 1, 8, 1, 5, 2, 4, 1, 1, 1, 2, 5, 2, 5, 1, 1, 2, 7, 2, 3, 4, 2, 1, 5, 6, 4, 1, 4, 7, 1, 3, 1, 1, 1, 3, 2, 2, 1, 5, 4, 2, 1, 2, 6, 7, 4, 9, 1, 2, 1, 4, 2, 1, 2, 2, 4, 1, 1, 1, 2, 4, 2, 3, 1, 2, 5, 2, 2, 2, 2, 2, 5, 5, 1, 5, 1, 2, 6, 2, 1, 3, 7, 2, 2, 2, 5, 2, 2, 3, 2, 3, 4, 7, 4, 1, 5, 14, 7, 8, 2, 5, 5, 4, 10, 1, 11, 2, 1, 3, 2, 1, 1, 2, 7, 3, 4, 4, 1, 1, 9, 4, 7, 1, 8, 9, 3, 2, 1, 8, 7, 9, 2, 3, 6, 3, 3, 3, 1, 7, 1, 7, 6, 9, 1, 2, 2, 12, 5, 3, 4, 8, 1, 1, 7, 5, 3, 2, 1, 4, 1, 3, 6, 3, 2, 3, 5, 11, 4, 2, 2, 4, 2, 1, 4, 4, 1, 6, 7, 7, 6, 5, 1, 5, 1, 2, 1, 3, 2, 6, 4, 3, 6, 8, 2, 2, 1, 4, 1, 2, 3, 4, 6, 1, 4, 1, 4, 4, 17, 9, 7, 2, 1, 2, 7, 8, 7, 3, 3, 15, 2, 7, 10, 3, 2, 12, 1, 5, 1, 2, 7, 4, 1, 5, 1, 2, 5, 1, 1, 3, 3, 1, 1, 8, 4, 1, 13, 3, 10, 2, 5, 1, 2, 5, 3, 19, 2, 1, 3, 10, 2, 2, 2, 14, 4, 2, 7, 1, 7, 4, 2, 4, 3, 2, 10, 5, 4, 3, 5, 2, 2, 3, 2, 9, 2, 3, 3, 3, 5, 2, 1, 2, 2, 2, 3, 1, 3, 9, 2, 8, 4, 5, 3, 1, 2, 11, 6, 3, 1, 5, 3, 3, 1, 7, 7, 1, 1, 5, 6, 1, 3, 2, 8, 1, 8, 2, 1, 2, 5, 3, 3, 3, 2, 2, 2, 2, 1, 1, 3, 1, 3, 7, 3, 1, 2, 3, 2, 3, 11, 1, 2, 10, 3, 6, 1, 3, 1, 5, 2, 7, 1, 2, 3, 9, 3, 3, 1, 26, 1, 2, 2, 1, 2, 3, 5, 7, 3, 2, 1, 5, 1, 2, 3, 4, 9, 1, 2, 6, 3, 3, 5, 7, 2, 1, 2, 1, 1, 8, 5, 2, 4, 2, 3, 2, 4, 2, 3, 1, 1, 8, 7, 2, 10, 3, 2, 2, 5, 2, 24, 3, 6, 3, 2, 2, 5, 3, 3, 5, 1, 2, 2, 4, 1, 17, 4, 2, 1, 10, 3, 4, 6, 1, 7, 4, 1, 1, 4, 2, 3, 1, 3, 5, 5, 3, 1, 8, 1, 6, 6, 7, 5, 13, 5, 5, 8, 3, 8, 1, 1, 1, 1, 5, 3, 1, 1, 4, 1, 2, 4, 1, 1, 1, 2, 2, 1, 10, 4, 1, 8, 5, 3, 1, 4, 6, 1, 4, 5, 1, 1, 7, 1, 2, 4, 3, 4, 9, 10, 5, 5, 1, 11, 2, 1, 1, 2, 2, 1, 2, 3, 5, 1, 10, 1, 6, 7, 6, 3, 7, 10, 8, 4, 5, 2, 2, 1, 2, 3, 4, 17, 2, 6, 2, 4, 3, 2, 6, 1, 7, 1, 2, 5, 9, 3, 4, 1, 3, 8, 3, 6, 3, 5, 8, 2, 1, 7, 4, 3, 3, 5, 6, 3, 2, 1, 2, 4, 1, 2, 2, 15, 2, 4, 4, 11, 1, 5, 4, 4, 3, 1, 6, 3, 3, 7, 2, 1, 6, 7, 1, 5, 11, 2, 11, 1, 1, 1, 16, 3, 4, 5, 8, 4, 8, 3, 6, 7, 1, 1, 2, 4, 3, 8, 9, 15, 2, 2, 5, 7, 3, 1, 2, 6, 1, 8, 2, 1, 1, 3, 7, 5, 6, 1, 6, 2, 9, 2, 12, 3, 1, 10, 2, 2, 1, 1, 12, 3, 7, 1, 14, 10, 2, 2, 1, 6, 11, 2, 16, 2, 7, 2, 3, 1, 1, 1, 9, 5, 7, 2, 14, 1, 2, 1, 3, 9, 1, 7, 3, 2, 6, 3, 1, 3, 4, 1, 2, 10, 3, 9, 4, 2, 7, 1, 1, 3, 2, 2, 3, 2, 2, 6, 5, 13, 5, 3, 4, 1, 2, 3, 4, 10, 5, 5, 8, 5, 1, 3, 1, 1, 2, 1, 3, 12, 5, 3, 5, 1, 1, 6, 1, 5, 1, 7, 4, 6, 5, 3, 3, 5, 1, 3, 8, 5, 4, 1, 1, 3, 2, 12, 5, 14, 14, 6, 1, 5, 3, 2, 14, 7, 5, 2, 3, 6, 8, 4, 5, 1, 3, 16, 8, 8, 2, 3, 7, 3, 7, 1, 3, 1, 4, 7, 3, 1, 3, 1, 4, 3, 2, 6, 3, 13, 1, 2, 2, 2, 6, 1, 3, 4, 2, 10, 1, 1, 12, 2, 8, 3, 1, 6, 2, 2, 3, 2, 1, 2, 6, 4, 4, 1, 2, 3, 1, 1, 4, 3, 2, 2, 2, 5, 4, 1, 1, 4, 2, 11, 5, 1, 5, 1, 3, 9, 1, 5, 8, 8, 5, 1, 3, 1, 6, 8, 6, 1, 5, 6, 8, 1, 5, 2, 8, 4, 4, 1, 2, 1, 3, 4, 2, 10, 13, 8, 3, 4, 2, 1, 11, 2, 1, 3, 1, 6, 7, 2, 6, 5, 1, 1, 1, 1, 9, 2, 2, 11, 3, 4, 4, 5, 4, 2, 2, 8, 4, 9, 2, 11, 1, 11, 11, 1, 3, 5, 2, 1, 3, 4, 1, 5, 1, 14, 1, 2, 4, 2, 2, 7, 7, 3, 9, 1, 8, 2, 2, 3, 3, 3, 6, 3, 17, 2, 1, 1, 3, 1, 4, 4, 6, 4, 2, 5, 2, 4, 4, 1, 3, 1, 7, 5, 4, 4, 4, 15, 1, 2, 1, 6, 1, 2, 7, 8, 5, 3, 3, 2, 2, 7, 9, 7, 7, 5, 3, 5, 16, 7, 12, 2, 8, 15, 4, 3, 2, 6, 3, 4, 2, 1, 5, 6, 2, 2, 1, 10, 1, 2, 4, 5, 2, 2, 11, 3, 5, 2, 1, 10, 1, 8, 3, 2, 1, 9, 2, 6, 2, 1, 6, 2, 4, 1, 5, 4, 2, 1, 1, 3, 2, 2, 1, 6, 16, 1, 2, 4, 2, 2, 1, 1, 3, 5, 8, 4, 7, 7, 5, 2, 11, 4, 1, 2, 1, 4, 5, 2, 1, 3, 5, 5, 7, 9, 1, 3, 1, 1, 1, 1, 1, 2, 1, 3, 4, 1, 2, 1, 1, 2, 4, 2, 4, 2, 2, 1, 3, 7, 1, 4, 2, 2, 3, 6, 11, 3, 1, 2, 2, 3, 1, 4, 8, 1, 1, 3, 10, 2, 8, 6, 1, 4, 2, 6, 4, 7, 2, 9, 6, 8, 1, 5, 6, 5, 3, 2, 4, 6, 1, 8, 1, 1, 1, 8, 5, 5, 3, 1, 6, 4, 5, 3, 6, 2, 14, 1, 2, 6, 4, 1, 2, 1, 1, 3, 3, 4, 1, 3, 3, 2, 7, 3, 9, 5, 2, 2, 10, 1, 2, 1, 1, 1, 1, 9, 2, 7, 2, 5, 5, 1, 5, 1, 2, 1, 4, 2, 13, 5, 5, 2, 1, 1, 4, 3, 3, 1, 1, 4, 7, 10, 13, 5, 2, 3, 1, 6, 6, 12, 8, 1, 2, 1, 2, 2, 2, 3, 4, 21, 8, 7, 8, 6, 5, 1, 3, 12, 2, 16, 4, 17, 9, 6, 14, 2, 5, 1, 6, 1, 1, 2, 8, 2, 2, 2, 1, 4, 7, 5, 3, 3, 1, 2, 4, 4, 1, 3, 6, 2, 3, 4, 1, 8, 1, 22, 6, 2, 2, 1, 5, 4, 1, 1, 2, 1, 1, 4, 8, 2, 4, 2, 3, 9, 3, 1, 6, 3, 25, 1, 4, 4, 5, 2, 1, 3, 3, 3, 12, 5, 10, 2, 5, 7, 5, 1, 1, 2, 9, 2, 1, 7, 2, 1, 2, 1, 3, 4, 1, 3, 4, 10, 2, 3, 5, 4, 6, 3, 4, 7, 1, 2, 1, 5, 4, 1, 2, 2, 4, 1, 2, 2, 1, 5, 2, 5, 11, 4, 1, 1, 18, 9, 3, 1, 7, 3, 9, 1, 1, 9, 2, 2, 2, 3, 5, 3, 3, 10, 11, 8, 2, 6, 7, 11, 6, 4, 1, 1, 3, 1, 7, 1, 8, 15, 2, 3, 5, 3, 5, 1, 1, 2, 9, 1, 4, 1, 8, 5, 1, 4, 4, 4, 2, 1, 3, 2, 1, 2, 19, 10, 4, 1, 1, 8, 4, 1, 2, 11, 5, 1, 2, 2, 2, 1, 3, 10, 4, 2, 1, 2, 1, 3, 6, 2, 1, 4, 12, 9, 2, 5, 2, 1, 3, 5, 1, 5, 2, 1, 1, 9, 1, 1, 7, 1, 4, 4, 4, 5, 3, 6, 3, 5, 4, 3, 2, 3, 3, 1, 6, 2, 1, 2, 10, 3, 5, 6, 4, 9, 1, 2, 3, 2, 5, 3, 6, 2, 3, 6, 1, 17, 1, 2, 1, 3, 1, 4, 5, 2, 1, 4, 5, 2, 2, 6, 1, 4, 9, 1, 4, 1, 5, 3, 4, 10, 4, 3, 3, 2, 2, 3, 3, 1, 13, 1, 3, 3, 1, 3, 17, 1, 3, 3, 3, 4, 7, 3, 3, 1, 2, 1, 1, 10, 2, 6, 12, 1, 3, 3, 6, 5, 2, 4, 1, 6, 5, 5, 1, 3, 2, 1, 2, 1, 5, 3, 4, 1, 1, 5, 1, 7, 16, 2, 2, 2, 3, 2, 4, 1, 6, 3, 5, 1, 1, 2, 3, 11, 5, 5, 3, 5, 5, 3, 4, 8, 2, 1, 8, 8, 7, 6, 5, 1, 4, 1, 5, 3, 5, 5, 2, 8, 2, 3, 1, 1, 1, 3, 2, 2, 2, 8, 1, 5, 6, 1, 2, 1, 2, 8, 3, 4, 4, 1, 5, 13, 6, 16, 3, 1, 7, 1, 1, 6, 6, 1, 1, 4, 2, 3, 9, 1, 11, 7, 2, 4, 5, 2, 7, 12, 16, 4, 4, 4, 2, 2, 7, 1, 5, 3, 8, 1, 2, 3, 1, 1, 5, 5, 4, 1, 3, 2, 1, 4, 10, 1, 18, 4, 3, 4, 8, 5, 14, 2, 3, 5, 11, 1, 5, 5, 2, 3, 6, 5, 1, 3, 1, 1, 4, 2, 1, 13, 1, 2, 5, 3, 4, 3, 4, 1, 5, 6, 27, 4, 1, 1, 2, 6, 4, 1, 6, 1, 1, 2, 1, 5, 3, 2, 2, 4, 10, 3, 10, 7, 2, 2, 2, 5, 5, 11, 3, 2, 2, 21, 3, 4, 1, 9, 7, 10, 6, 3, 1, 5, 9, 5, 5, 15, 6, 2, 6, 1, 5, 1, 2, 7, 3, 6, 5, 8, 6, 7, 4, 2, 5, 2, 10, 4, 5, 7, 4, 9, 1, 2, 4, 1, 4, 1, 3, 6, 1, 1, 6, 2, 2, 1, 18, 3, 2, 1, 3, 2, 4, 2, 6, 3, 5, 9, 2, 6, 2, 13, 4, 5, 3, 15, 4, 1, 3, 8, 5, 4, 2, 3, 2, 3, 2, 2, 3, 11, 5, 5, 11, 6, 9, 3, 14, 1, 4, 1, 2, 2, 1, 6, 9, 4, 7, 1, 3, 2, 2, 3, 5, 6, 11, 2, 4, 4, 3, 2, 1, 13, 4, 2, 2, 1, 5, 8, 5, 4, 1, 6, 2, 4, 2, 5, 4, 9, 4, 1, 1, 5, 1, 1, 1, 3, 4, 6, 1, 2, 1, 2, 12, 1, 3, 9, 15, 3, 4, 1, 5, 8, 4, 1, 4, 1, 6, 1, 8, 1, 2, 2, 3, 2, 12, 3, 6, 2, 8, 2, 3, 5, 3, 7, 3, 5, 2, 13, 1, 1, 3, 10, 2, 1, 3, 3, 6, 4, 15, 1, 1, 2, 1, 1, 10, 1, 6, 1, 9, 3, 8, 2, 5, 1, 10, 5, 5, 4, 2, 2, 3, 2, 4, 11, 8, 2, 2, 9, 1, 1, 1, 4, 4, 10, 11, 8, 1, 1, 3, 3, 1, 1, 4, 8, 4, 2, 8, 1, 2, 2, 7, 1, 4, 3, 3, 2, 8, 7, 8, 3, 1, 2, 10, 6, 1, 5, 3, 7, 3, 7, 1, 1, 2, 1, 6, 5, 6, 4, 7, 5, 1, 2, 3, 32, 7, 1, 2, 1, 5, 1, 5, 9, 2, 1, 4, 1, 3, 3, 1, 2, 7, 15, 6, 3, 6, 10, 1, 2, 4, 4, 2, 1, 1, 2, 3, 2, 3, 8, 10, 4, 5, 3, 1, 2, 1, 2, 4, 3, 1, 2, 1, 9, 4, 10, 4, 16, 1, 1, 3, 4, 2, 2, 5, 1, 1, 1, 4, 1, 6, 2, 4, 7, 5, 1, 2, 3, 4, 3, 2, 7, 3, 4, 1, 1, 1, 10, 1, 2, 1, 1, 4, 4, 9, 17, 1, 3, 1, 6, 1, 6, 19, 4, 7, 4, 3, 2, 5, 1, 1, 3, 13, 2, 1, 3, 1, 4, 5, 4, 1, 1, 3, 9, 1, 4, 1, 12, 8, 3, 4, 1, 3, 2, 1, 2, 1, 2, 8, 4, 6, 7, 1, 1, 4, 2, 3, 6, 4, 1, 8, 4, 5, 4, 7, 3, 2, 11, 2, 3, 7, 1, 6, 1, 1, 5, 5, 1, 1, 9, 11, 11, 3, 4, 5, 3, 3, 2, 2, 4, 8, 6, 4, 7, 2, 1, 3, 1, 1, 3, 2, 1, 7, 3, 5, 9, 4, 15, 9, 3, 3, 1, 8, 4, 2, 5, 1, 4, 3, 1, 4, 5, 4, 3, 1, 3, 3, 1, 3, 1, 7, 1, 1, 6, 5, 1, 5, 1, 5, 2, 5, 10, 9, 9, 1, 4, 1, 3, 1, 2, 10, 2, 5, 9, 3, 6, 8, 4, 3, 4, 1, 2, 4, 4, 3, 5, 2, 2, 1, 4, 6, 5, 2, 1, 1, 1, 1, 1, 1, 3, 4, 4, 4, 3, 1, 5, 1, 1, 2, 2, 2, 3, 1, 10, 8, 5, 2, 2, 3, 2, 6, 2, 5, 2, 6, 8, 1, 5, 10, 3, 22, 1, 22, 6, 1, 3, 10, 1, 3, 1, 4, 9, 4, 1, 7, 1, 4, 4, 1, 4, 3, 2, 8, 1, 1, 4, 5, 4, 2, 15, 8, 1, 2, 1, 2, 5, 2, 3, 2, 6, 4, 2, 8, 1, 1, 2, 4, 2, 8, 6, 3, 6, 1, 1, 7, 2, 4, 4, 1, 1, 1, 1, 1, 2, 2, 2, 1, 11, 6, 1, 4, 1, 8, 3, 5, 1, 4, 11, 9, 1, 2, 1, 4, 7, 6, 11, 5, 3, 5, 2, 5, 1, 3, 5, 1, 2, 2, 6, 8, 3, 2, 6, 4, 4, 3, 12, 8, 3, 1, 4, 2, 1, 10, 1, 5, 2, 3, 2, 5, 7, 1, 4, 1, 2, 1, 6, 2, 1, 1, 5, 2, 3, 8, 5, 4, 3, 3, 4, 1, 11, 1, 3, 2, 7, 4, 8, 11, 1, 1, 7, 8, 4, 3, 4, 3, 5, 2, 3, 3, 1, 4, 1, 2, 1, 3, 2, 3, 1, 4, 14, 3, 1, 6, 4, 6, 7, 3, 3, 2, 9, 1, 1, 2, 5, 2, 2, 5, 3, 10, 2, 1, 3, 7, 6, 5, 2, 1, 4, 4, 15, 2, 2, 1, 18, 2, 2, 1, 4, 4, 1, 2, 1, 1, 3, 3, 1, 2, 2, 2, 1, 3, 7, 3, 1, 9, 2, 1, 1, 6, 2, 1, 7, 3, 1, 3, 7, 1, 1, 5, 1, 6, 1, 1, 3, 1, 3, 4, 6, 1, 10, 2, 3, 4, 6, 5, 4, 3, 5, 5, 14, 12, 2, 1, 9, 2, 4, 2, 1, 5, 2, 14, 2, 3, 16, 2, 1, 2, 1, 1, 1, 4, 3, 7, 1, 1, 2, 13, 1, 4, 2, 1, 8, 2, 1, 4, 6, 8, 10, 8, 9, 1, 1, 3, 3, 4, 3, 4, 4, 1, 2, 3, 9, 12, 3, 3, 5, 1, 4, 1, 1, 1, 6, 9, 3, 7, 4, 2, 4, 6, 2, 1, 1, 6, 2, 2, 10, 9, 2, 4, 2, 1, 7, 1, 5, 2, 17, 3, 1, 5, 4, 4, 5, 6, 9, 3, 11, 2, 3, 1, 1, 19, 9, 5, 9, 7, 1, 1, 9, 3, 3, 6, 5, 1, 10, 12, 1, 14, 3, 7, 10, 2, 2, 4, 1, 3, 7, 1, 4, 2, 1, 2, 3, 3, 3, 1, 3, 7, 2, 4, 1, 4, 1, 11, 5, 4, 8, 3, 8, 5, 3, 5, 4, 1, 1, 1, 10, 3, 2, 2, 2, 2, 7, 1, 6, 3, 2, 3, 1, 4, 6, 1, 2, 2, 2, 2, 2, 3, 4, 1, 7, 2, 1, 1, 1, 2, 1, 1, 6, 4, 6, 2, 7, 3, 9, 6, 3, 3, 1, 2, 1, 4, 2, 7, 2, 1, 4, 3, 6, 4, 2, 4, 4, 4, 14, 2, 1, 12, 5, 2, 1, 11, 2, 4, 1, 2, 2, 6, 3, 2, 7, 3, 4, 6, 3, 5, 2, 1, 2, 6, 1, 4, 1, 3, 1, 4, 1, 1, 2, 1, 3, 2, 1, 3, 5, 2, 2, 1, 4, 7, 3, 1, 1, 1, 13, 2, 1, 1, 8, 1, 2, 5, 4, 1, 5, 1, 4, 1, 18, 11, 3, 3, 1, 1, 2, 3, 1, 9, 6, 1, 1, 1, 1, 1, 10, 4, 8, 6, 5, 1, 5, 2, 11, 2, 12, 1, 4, 5, 2, 4, 2, 4, 1, 5, 1, 1, 2, 1, 10, 3, 8, 1, 3, 3, 1, 3, 5, 1, 1, 1, 10, 10, 15, 4, 2, 3, 2, 9, 11, 11, 1, 2, 3, 13, 5, 3, 1, 2, 1, 1, 7, 3, 3, 1, 3, 4, 5, 4, 2, 12, 2, 3, 7, 4, 2, 3, 1, 6, 3, 5, 5, 1, 7, 4, 1, 1, 5, 6, 3, 4, 2, 2, 2, 3, 6, 2, 1, 1, 2, 3, 4, 6, 2, 5, 3, 1, 10, 8, 1, 12, 2, 4, 5, 2, 9, 2, 1, 1, 4, 2, 3, 13, 3, 2, 2, 2, 1, 1, 1, 1, 10, 3, 3, 1, 4, 2, 3, 2, 2, 2, 5, 2, 7, 18, 2, 5, 3, 4, 8, 2, 4, 4, 2, 3, 4, 5, 11, 1, 2, 2, 1, 10, 3, 12, 3, 1, 4, 9, 3, 6, 4, 5, 3, 2, 4, 2, 2, 3, 10, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 1, 12, 1, 2, 1, 13, 3, 13, 1, 6, 4, 2, 3, 2, 2, 1, 2, 2, 5, 2, 2, 1, 1, 5, 1, 6, 1, 2, 2, 1, 1, 4, 7, 2, 3, 3, 4, 1, 8, 2, 2, 4, 3, 3, 1, 2, 6, 1, 16, 4, 1, 1, 4, 1, 2, 13, 1, 3, 2, 1, 3, 10, 2, 3, 2, 3, 5, 4, 4, 5, 2, 12, 5, 1, 1, 1, 14, 2, 9, 4, 3, 4, 1, 3, 4, 2, 2, 2, 6, 2, 1, 1, 1, 1, 1, 3, 8, 11, 1, 10, 2, 5, 1, 5, 1, 1, 1, 7, 1, 15, 5, 2, 3, 2, 3, 9, 5, 5, 1, 15, 1, 4, 1, 5, 5, 4, 4, 4, 1, 1, 2, 5, 7, 7, 8, 2, 2, 1, 3, 21, 4, 5, 5, 4, 1, 3, 11, 4, 1, 2, 9, 3, 1, 1, 5, 8, 4, 8, 7, 4, 1, 6, 1, 1, 3, 3, 11, 3, 5, 6, 9, 4, 13, 3, 8, 1, 5, 1, 5, 4, 1, 3, 2, 4, 6, 5, 6, 12, 3, 1, 4, 9, 6, 3, 1, 7, 1, 5, 1, 5, 2, 2, 3, 1, 2, 1, 4, 2, 4, 8, 6, 4, 1, 7, 1, 2, 1, 1, 11, 3, 5, 1, 2, 13, 1, 3, 2, 3, 9, 6, 1, 1, 2, 4, 2, 12, 2, 9, 2, 2, 7, 1, 5, 9, 4, 1, 2, 2, 9, 1, 2, 4, 2, 6, 1, 12, 2]