LotoPolo Stats — Pattern Analysis

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

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

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

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

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

⚠️ Disclaimer onest: Improvement-urile sunt mici în absolut (sub 1 pp). Nu garantează câștig — ridică doar probabilitatea cu ~17% relativ peste hazard pe sys 2. Loto rămâne fundamental aleator. Sistemul ajută la informare, nu la siguranță.
SYS 1/1
16,754
80 combos · 100% of 16,754
SYS 2/2
16,754
3,160 combos · 100% of 16,754
SYS 3/3
16,754
82,173 combos · 100% of 16,754
SYS 4/4
16,754
1,470,317 combos · 100% of 16,754
SYS 5/5
6,000
24,306,098 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: 🏆 HOT
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 #69 = {70} random

Descriptive

Apariții
4211
Mean ± std
3.98 ± 3.46
CV (std/mean)
0.871
Min/Max gap
1 / 27
Last seen
16754 (gap actual: 0)

Percentile gap-uri

P25 / mediana / P75
2 / 3 / 5
P90 / P95
8 / 11
IQR
3

Streaks & Pattern

Hot streak (consecutive)
6
Cold streak (max absență)
27
Autocorrelation lag-1
-0.002
Drift (h2-h1)
-0.04
Best period T
T=21 (entropy=0.001)

Overdue Status

Current gap
0
vs mean (z-score)
-1.15 σ
vs P95
0x

Statistical Test (Chi-square)

chi²
448.23
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2947 / 1264 apariții
Mean train
4.01
MAE
2.44
Accuracy
39.2%
Erori per pred
[2,1,2,1,5,2,5,1,2,1,3,1,2,2,2,2,3,3,10,0,3,1,1,2,0,3,1,3,2,0,1,2,0,3,3,2,2,3,2,3,7,2,3,1,3,3,2,2,3,1,3,1,0,3,5,1,3,3,2,2,2,1,0,1,2,6,1,1,3,3,1,1,3,2,2,3,2,1,2,3,3,3,1,2,1,2,2,1,1,3,2,2,2,1,2,3,3,4,1,1,1,12,0,1,1,3,2,3,3,2,2,1,3,3,2,0,1,1,3,1,4,3,2,2,1,2,1,3,2,2,2,1,1,2,3,3,2,2,2,2,2,0,3,3,3,2,0,4,10,2,4,3,2,1,1,1,2,1,3,1,2,3,3,1,3,0,1,2,3,2,1,5,2,1,1,3,2,2,1,4,2,8,3,9,1,5,2,1,0,2,2,1,3,3,6,3,3,0,4,3,0,1,0,2,2,2,2,0,3,5,0,1,1,3,2,2,2,3,6,1,2,2,0,1,13,3,10,3,3,3,0,3,2,2,6,3,2,9,3,2,2,1,1,11,3,1,7,1,3,3,2,1,2,2,3,1,3,2,2,4,1,2,2,1,2,1,2,0,2,0,4,7,1,3,3,3,1,1,3,2,3,2,13,2,5,0,2,3,0,3,1,3,0,3,3,2,1,10,3,1,2,1,5,0,1,2,0,2,2,3,2,1,3,2,5,2,3,3,3,4,1,1,2,3,1,3,0,4,1,2,1,3,1,2,1,0,1,3,1,2,1,1,3,1,0,3,2,2,3,2,2,1,2,1,2,2,1,1,5,1,3,0,3,8,0,0,1,4,2,1,3,1,3,3,2,3,3,1,2,1,1,3,1,2,1,3,5,1,2,1,2,3,0,1,0,0,2,17,1,3,9,1,1,3,5,2,2,0,0,2,3,1,3,0,3,0,1,1,3,1,5,0,1,1,1,5,2,3,3,2,1,3,2,3,2,2,3,3,6,3,1,2,1,6,0,0,3,2,13,3,2,0,3,3,2,3,3,3,0,3,3,1,1,3,6,2,2,5,2,3,4,1,2,0,6,0,2,2,2,12,7,2,0,17,2,3,2,2,1,3,0,3,3,2,2,3,3,1,3,1,1,2,1,2,3,2,0,2,2,1,15,0,2,1,2,1,3,12,1,0,2,1,1,3,1,1,1,2,0,3,3,2,13,0,2,0,3,3,0,1,3,1,3,2,1,5,9,1,2,2,2,2,3,2,3,2,1,1,2,3,0,1,2,1,2,0,3,1,3,3,2,3,3,3,2,0,1,7,3,2,0,4,2,3,1,3,3,0,2,3,3,2,2,3,5,2,3,2,4,2,3,1,5,3,3,2,1,3,1,3,5,1,2,1,2,3,2,2,1,6,3,2,2,1,5,2,2,4,1,3,3,1,2,0,0,0,2,3,2,2,2,2,0,5,2,1,2,3,1,6,1,3,4,4,1,3,2,2,2,3,7,2,3,2,1,3,0,3,3,2,8,1,1,1,3,1,2,2,2,0,0,0,0,0,2,1,1,3,1,1,1,3,3,5,1,3,4,3,2,22,3,3,2,3,2,4,3,3,2,1,2,1,3,1,3,3,3,10,2,3,2,2,2,3,3,3,0,2,4,2,2,0,0,1,2,3,13,4,3,0,2,3,3,1,2,3,2,1,1,1,3,3,3,1,3,1,3,3,2,2,0,4,5,3,1,3,1,1,2,1,3,3,3,2,2,2,1,3,0,3,2,5,3,1,1,0,1,2,2,2,3,1,1,0,1,3,0,2,8,3,0,2,3,1,3,1,0,1,3,2,2,9,2,1,0,3,1,3,2,2,1,3,0,4,1,3,3,2,2,4,11,2,0,3,3,2,1,1,3,3,3,3,2,3,1,1,3,2,2,3,3,2,1,3,3,3,4,3,3,1,3,6,0,2,3,4,3,2,2,2,3,9,2,2,3,1,1,1,3,2,4,0,1,0,2,4,1,2,0,1,1,2,3,3,2,8,1,3,2,2,1,2,3,2,2,2,3,2,2,5,2,1,0,1,11,3,3,2,2,0,2,3,3,1,1,0,2,2,10,4,1,2,0,3,4,3,1,3,0,3,3,3,1,4,0,1,1,1,5,3,4,2,0,2,5,7,5,2,3,1,0,3,2,3,3,0,3,1,0,3,1,2,1,2,3,6,19,15,3,3,2,1,3,3,1,3,1,1,1,3,3,1,0,1,6,3,6,2,3,3,1,2,1,2,2,1,1,2,4,3,5,1,3,2,1,1,3,9,2,3,1,11,2,1,6,3,1,2,2,1,7,5,3,3,3,3,3,0,3,0,3,3,3,4,2,2,2,1,3,1,0,3,2,0,3,0,2,1,2,0,3,3,2,3,3,3,0,4,2,2,1,0,1,2,3,2,2,3,2,6,2,1,5,3,3,3,1,3,1,3,3,3,2,2,7,1,3,3,3,3,3,0,6,2,1,1,2,2,1,2,1,2,2,15,4,1,0,1,0,9,2,2,2,2,2,1,3,3,3,3,2,0,2,6,1,2,6,12,3,1,2,1,0,2,1,4,3,0,2,2,3,8,2,1,3,0,1,0,3,1,5,0,3,1,2,5,3,3,3,0,3,3,3,3,1,3,5,0,3,2,3,1,1,3,1,0,0,3,2,3,2,0,3,2,3,3,5,2,3,2,3,3,3,1,2,1,4,2,0,2,2,3,0,3,1,3,1,2,0,2,2,3,1,7,5,1,3,3,6,3,0,3,3,3,2,2,1,1,9,2,2,11,1,1,3,11,3,9,2,4,2,1,3,3,0,3,2,2,0,3,3,2,3,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.565
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.392
Total: 57%

🎯 Predicție următoarea apariție

Most likely
draw #16758
±1 sigma window
[16755..16761]
P25-P95 window
[16756..16765]

Timeline apariții — densitate per perioadă

Extrageri 1-83: 23 apariții Extrageri 84-167: 22 apariții Extrageri 168-251: 19 apariții Extrageri 252-335: 21 apariții Extrageri 336-418: 27 apariții Extrageri 419-502: 19 apariții Extrageri 503-586: 17 apariții Extrageri 587-670: 28 apariții Extrageri 671-753: 21 apariții Extrageri 754-837: 20 apariții Extrageri 838-921: 19 apariții Extrageri 922-1005: 17 apariții Extrageri 1006-1089: 28 apariții Extrageri 1090-1172: 24 apariții Extrageri 1173-1256: 26 apariții Extrageri 1257-1340: 25 apariții Extrageri 1341-1424: 16 apariții Extrageri 1425-1507: 16 apariții Extrageri 1508-1591: 32 apariții Extrageri 1592-1675: 15 apariții Extrageri 1676-1759: 22 apariții Extrageri 1760-1842: 26 apariții Extrageri 1843-1926: 28 apariții Extrageri 1927-2010: 20 apariții Extrageri 2011-2094: 22 apariții Extrageri 2095-2178: 23 apariții Extrageri 2179-2261: 17 apariții Extrageri 2262-2345: 18 apariții Extrageri 2346-2429: 19 apariții Extrageri 2430-2513: 17 apariții Extrageri 2514-2596: 20 apariții Extrageri 2597-2680: 21 apariții Extrageri 2681-2764: 21 apariții Extrageri 2765-2848: 17 apariții Extrageri 2849-2931: 20 apariții Extrageri 2932-3015: 21 apariții Extrageri 3016-3099: 14 apariții Extrageri 3100-3183: 16 apariții Extrageri 3184-3267: 24 apariții Extrageri 3268-3350: 23 apariții Extrageri 3351-3434: 20 apariții Extrageri 3435-3518: 24 apariții Extrageri 3519-3602: 20 apariții Extrageri 3603-3685: 18 apariții Extrageri 3686-3769: 15 apariții Extrageri 3770-3853: 25 apariții Extrageri 3854-3937: 26 apariții Extrageri 3938-4020: 20 apariții Extrageri 4021-4104: 20 apariții Extrageri 4105-4188: 23 apariții Extrageri 4189-4272: 21 apariții Extrageri 4273-4356: 25 apariții Extrageri 4357-4439: 19 apariții Extrageri 4440-4523: 20 apariții Extrageri 4524-4607: 16 apariții Extrageri 4608-4691: 29 apariții Extrageri 4692-4774: 20 apariții Extrageri 4775-4858: 25 apariții Extrageri 4859-4942: 18 apariții Extrageri 4943-5026: 22 apariții Extrageri 5027-5109: 26 apariții Extrageri 5110-5193: 21 apariții Extrageri 5194-5277: 20 apariții Extrageri 5278-5361: 15 apariții Extrageri 5362-5445: 23 apariții Extrageri 5446-5528: 19 apariții Extrageri 5529-5612: 22 apariții Extrageri 5613-5696: 21 apariții Extrageri 5697-5780: 15 apariții Extrageri 5781-5863: 20 apariții Extrageri 5864-5947: 15 apariții Extrageri 5948-6031: 29 apariții Extrageri 6032-6115: 16 apariții Extrageri 6116-6198: 25 apariții Extrageri 6199-6282: 25 apariții Extrageri 6283-6366: 24 apariții Extrageri 6367-6450: 17 apariții Extrageri 6451-6534: 26 apariții Extrageri 6535-6617: 13 apariții Extrageri 6618-6701: 27 apariții Extrageri 6702-6785: 22 apariții Extrageri 6786-6869: 17 apariții Extrageri 6870-6952: 18 apariții Extrageri 6953-7036: 14 apariții Extrageri 7037-7120: 16 apariții Extrageri 7121-7204: 24 apariții Extrageri 7205-7287: 18 apariții Extrageri 7288-7371: 22 apariții Extrageri 7372-7455: 14 apariții Extrageri 7456-7539: 17 apariții Extrageri 7540-7623: 19 apariții Extrageri 7624-7706: 18 apariții Extrageri 7707-7790: 27 apariții Extrageri 7791-7874: 18 apariții Extrageri 7875-7958: 20 apariții Extrageri 7959-8041: 32 apariții Extrageri 8042-8125: 22 apariții Extrageri 8126-8209: 21 apariții Extrageri 8210-8293: 20 apariții Extrageri 8294-8377: 25 apariții Extrageri 8378-8460: 25 apariții Extrageri 8461-8544: 18 apariții Extrageri 8545-8628: 22 apariții Extrageri 8629-8712: 26 apariții Extrageri 8713-8795: 27 apariții Extrageri 8796-8879: 19 apariții Extrageri 8880-8963: 27 apariții Extrageri 8964-9047: 21 apariții Extrageri 9048-9130: 30 apariții Extrageri 9131-9214: 19 apariții Extrageri 9215-9298: 22 apariții Extrageri 9299-9382: 12 apariții Extrageri 9383-9466: 20 apariții Extrageri 9467-9549: 27 apariții Extrageri 9550-9633: 26 apariții Extrageri 9634-9717: 21 apariții Extrageri 9718-9801: 16 apariții Extrageri 9802-9884: 15 apariții Extrageri 9885-9968: 30 apariții Extrageri 9969-10052: 15 apariții Extrageri 10053-10136: 22 apariții Extrageri 10137-10219: 23 apariții Extrageri 10220-10303: 23 apariții Extrageri 10304-10387: 20 apariții Extrageri 10388-10471: 22 apariții Extrageri 10472-10555: 24 apariții Extrageri 10556-10638: 20 apariții Extrageri 10639-10722: 19 apariții Extrageri 10723-10806: 15 apariții Extrageri 10807-10890: 11 apariții Extrageri 10891-10973: 20 apariții Extrageri 10974-11057: 16 apariții Extrageri 11058-11141: 18 apariții Extrageri 11142-11225: 12 apariții Extrageri 11226-11308: 23 apariții Extrageri 11309-11392: 19 apariții Extrageri 11393-11476: 26 apariții Extrageri 11477-11560: 19 apariții Extrageri 11561-11644: 25 apariții Extrageri 11645-11727: 16 apariții Extrageri 11728-11811: 17 apariții Extrageri 11812-11895: 22 apariții Extrageri 11896-11979: 24 apariții Extrageri 11980-12062: 25 apariții Extrageri 12063-12146: 25 apariții Extrageri 12147-12230: 24 apariții Extrageri 12231-12314: 33 apariții Extrageri 12315-12397: 18 apariții Extrageri 12398-12481: 20 apariții Extrageri 12482-12565: 23 apariții Extrageri 12566-12649: 18 apariții Extrageri 12650-12733: 19 apariții Extrageri 12734-12816: 23 apariții Extrageri 12817-12900: 17 apariții Extrageri 12901-12984: 21 apariții Extrageri 12985-13068: 19 apariții Extrageri 13069-13151: 23 apariții Extrageri 13152-13235: 21 apariții Extrageri 13236-13319: 24 apariții Extrageri 13320-13403: 13 apariții Extrageri 13404-13486: 25 apariții Extrageri 13487-13570: 20 apariții Extrageri 13571-13654: 22 apariții Extrageri 13655-13738: 15 apariții Extrageri 13739-13822: 23 apariții Extrageri 13823-13905: 21 apariții Extrageri 13906-13989: 23 apariții Extrageri 13990-14073: 23 apariții Extrageri 14074-14157: 27 apariții Extrageri 14158-14240: 22 apariții Extrageri 14241-14324: 24 apariții Extrageri 14325-14408: 20 apariții Extrageri 14409-14492: 21 apariții Extrageri 14493-14575: 13 apariții Extrageri 14576-14659: 23 apariții Extrageri 14660-14743: 23 apariții Extrageri 14744-14827: 21 apariții Extrageri 14828-14911: 22 apariții Extrageri 14912-14994: 20 apariții Extrageri 14995-15078: 23 apariții Extrageri 15079-15162: 28 apariții Extrageri 15163-15246: 18 apariții Extrageri 15247-15329: 22 apariții Extrageri 15330-15413: 23 apariții Extrageri 15414-15497: 22 apariții Extrageri 15498-15581: 21 apariții Extrageri 15582-15664: 15 apariții Extrageri 15665-15748: 24 apariții Extrageri 15749-15832: 14 apariții Extrageri 15833-15916: 20 apariții Extrageri 15917-16000: 27 apariții Extrageri 16001-16083: 26 apariții Extrageri 16084-16167: 20 apariții Extrageri 16168-16251: 20 apariții Extrageri 16252-16335: 20 apariții Extrageri 16336-16418: 26 apariții Extrageri 16419-16502: 27 apariții Extrageri 16503-16586: 20 apariții Extrageri 16587-16670: 16 apariții Extrageri 16671-16754: 18 apariții 0 4189 8377 12566 16754 mean=21.1/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 (21.1 apariții/bin).
Combinația are 4,211 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):
[6, 10, 11, 20, 24, 26, 27, 29, 32, 36, 37, 39, 49, 60, 64, 67, 70, 71, 72, 74, 75, 76, 79, 87, 90, 98, 104, 106, 119, 121, 122, 123, 124, 129, 130, 131, 133, 144, 147, 149, 150, 153, 154, 162, 164, 172, 176, 178, 186, 189, 192, 195, 196, 200, 207, 215, 221, 229, 232, 234, 242, 243, 245, 252, 255, 264, 280, 281, 282, 286, 287, 288, 290, 293, 299, 308, 309, 310, 311, 314, 315, 318, 329, 331, 334, 340, 342, 343, 345, 346, 350, 352, 357, 358, 359, 363, 367, 375, 376, 379, 380, 383, 388, 390, 391, 392, 399, 400, 405, 410, 412, 417, 434, 435, 443, 446, 452, 458, 465, 469, 474, 480, 487, 488, 490, 492, 494, 496, 497, 499, 500, 505, 507, 511, 512, 513, 517, 522, 529, 545, 546, 556, 558, 561, 564, 566, 574, 586, 594, 597, 599, 600, 601, 603, 605, 608, 612, 614, 621, 622, 624, 627, 629, 631, 632, 635, 638, 640, 643, 649, 651, 652, 654, 655, 665, 668, 679, 685, 688, 690, 696, 698, 701, 702, 706, 712, 718, 721, 722, 723, 724, 727, 737, 742, 748, 750, 751, 765, 771, 775, 778, 783, 786, 787, 788, 800, 811, 812, 814, 816, 818, 819, 825, 826, 829, 831, 836, 841, 852, 858, 859, 862, 872, 875, 883, 884, 890, 892, 904, 912, 913, 914, 915, 916, 920, 921, 927, 932, 941, 944, 947, 956, 963, 965, 969, 972, 974, 975, 981, 993, 997, 1001, 1005, 1007, 1019, 1024, 1027, 1028, 1031, 1034, 1036, 1037, 1038, 1040, 1043, 1044, 1045, 1048, 1053, 1054, 1057, 1060, 1061, 1063, 1064, 1066, 1070, 1072, 1077, 1079, 1086, 1098, 1099, 1106, 1111, 1113, 1118, 1121, 1129, 1130, 1135, 1136, 1138, 1141, 1146, 1148, 1151, 1152, 1161, 1163, 1164, 1167, 1169, 1171, 1172, 1178, 1179, 1185, 1186, 1188, 1189, 1191, 1194, 1197, 1199, 1206, 1210, 1214, 1219, 1222, 1225, 1226, 1229, 1233, 1236, 1237, 1240, 1242, 1244, 1251, 1252, 1258, 1261, 1263, 1268, 1270, 1272, 1273, 1274, 1275, 1279, 1282, 1287, 1289, 1291, 1293, 1295, 1299, 1313, 1324, 1326, 1330, 1332, 1333, 1336, 1339, 1342, 1350, 1354, 1360, 1364, 1372, 1373, 1374, 1377, 1389, 1391, 1403, 1413, 1414, 1416, 1417, 1435, 1436, 1439, 1464, 1465, 1470, 1478, 1483, 1484, 1486, 1487, 1488, 1500, 1501, 1502, 1506, 1512, 1515, 1521, 1522, 1525, 1527, 1528, 1533, 1534, 1537, 1541, 1542, 1546, 1548, 1549, 1553, 1555, 1556, 1557, 1562, 1571, 1577, 1578, 1579, 1580, 1582, 1584, 1585, 1586, 1590, 1591, 1592, 1594, 1597, 1601, 1602, 1605, 1611, 1615, 1633, 1635, 1643, 1645, 1664, 1667, 1672, 1674, 1685, 1688, 1689, 1691, 1694, 1695, 1697, 1699, 1701, 1717, 1724, 1725, 1730, 1731, 1733, 1735, 1739, 1740, 1742, 1750, 1751, 1755, 1764, 1769, 1772, 1773, 1779, 1780, 1782, 1783, 1784, 1788, 1789, 1790, 1792, 1794, 1798, 1799, 1800, 1806, 1809, 1826, 1827, 1828, 1831, 1836, 1837, 1839, 1845, 1846, 1849, 1852, 1854, 1855, 1856, 1877, 1878, 1882, 1883, 1884, 1888, 1892, 1898, 1900, 1901, 1905, 1912, 1914, 1915, 1918, 1920, 1921, 1924, 1925, 1926, 1927, 1928, 1938, 1942, 1944, 1954, 1961, 1962, 1966, 1967, 1968, 1975, 1979, 1989, 1990, 1991, 1994, 1997, 2002, 2007, 2010, 2019, 2024, 2026, 2029, 2039, 2046, 2048, 2049, 2052, 2053, 2054, 2055, 2060, 2063, 2066, 2067, 2077, 2081, 2082, 2084, 2089, 2093, 2100, 2103, 2110, 2118, 2129, 2133, 2134, 2138, 2139, 2141, 2143, 2144, 2145, 2146, 2150, 2151, 2157, 2164, 2167, 2168, 2169, 2171, 2173, 2181, 2190, 2193, 2201, 2207, 2212, 2217, 2219, 2223, 2226, 2228, 2230, 2233, 2239, 2246, 2252, 2258, 2266, 2268, 2277, 2280, 2286, 2288, 2289, 2295, 2306, 2316, 2328, 2329, 2331, 2332, 2333, 2336, 2341, 2346, 2352, 2354, 2365, 2369, 2370, 2371, 2374, 2378, 2380, 2384, 2388, 2399, 2406, 2409, 2412, 2415, 2419, 2421, 2429, 2431, 2442, 2450, 2456, 2458, 2465, 2469, 2470, 2474, 2475, 2478, 2481, 2486, 2495, 2497, 2502, 2503, 2515, 2520, 2524, 2528, 2531, 2541, 2548, 2550, 2554, 2556, 2560, 2564, 2570, 2580, 2581, 2582, 2586, 2587, 2593, 2597, 2602, 2611, 2617, 2624, 2626, 2628, 2629, 2630, 2635, 2636, 2639, 2646, 2649, 2650, 2661, 2663, 2666, 2667, 2673, 2675, 2681, 2684, 2687, 2689, 2702, 2703, 2708, 2713, 2716, 2718, 2720, 2722, 2723, 2725, 2733, 2737, 2750, 2753, 2754, 2756, 2762, 2763, 2770, 2773, 2774, 2782, 2787, 2791, 2792, 2795, 2805, 2809, 2819, 2820, 2821, 2834, 2835, 2838, 2840, 2856, 2857, 2859, 2865, 2867, 2873, 2876, 2878, 2879, 2883, 2886, 2888, 2889, 2891, 2902, 2910, 2911, 2918, 2923, 2925, 2935, 2936, 2939, 2944, 2950, 2952, 2955, 2960, 2965, 2968, 2970, 2971, 2983, 2986, 2987, 2988, 2989, 2994, 2996, 3000, 3001, 3023, 3026, 3042, 3044, 3051, 3052, 3057, 3058, 3068, 3069, 3077, 3079, 3082, 3087, 3101, 3102, 3104, 3112, 3119, 3130, 3142, 3143, 3147, 3148, 3149, 3152, 3154, 3176, 3181, 3182, 3188, 3196, 3201, 3206, 3213, 3215, 3217, 3221, 3224, 3227, 3228, 3229, 3241, 3245, 3246, 3250, 3251, 3255, 3256, 3257, 3258, 3261, 3262, 3264, 3269, 3270, 3271, 3273, 3278, 3282, 3287, 3288, 3292, 3297, 3306, 3309, 3314, 3315, 3317, 3326, 3328, 3334, 3335, 3337, 3341, 3345, 3349, 3357, 3360, 3363, 3370, 3373, 3378, 3381, 3383, 3384, 3386, 3391, 3395, 3399, 3402, 3403, 3408, 3411, 3414, 3419, 3432, 3439, 3443, 3447, 3451, 3453, 3461, 3463, 3464, 3468, 3469, 3473, 3475, 3477, 3480, 3484, 3485, 3489, 3491, 3494, 3499, 3502, 3511, 3512, 3513, 3524, 3527, 3533, 3540, 3542, 3545, 3548, 3549, 3550, 3555, 3556, 3559, 3560, 3569, 3581, 3584, 3585, 3587, 3594, 3597, 3608, 3611, 3613, 3619, 3621, 3624, 3640, 3641, 3649, 3655, 3658, 3664, 3669, 3673, 3674, 3675, 3678, 3679, 3693, 3699, 3709, 3714, 3715, 3716, 3719, 3721, 3732, 3735, 3737, 3749, 3759, 3760, 3769, 3774, 3779, 3780, 3788, 3791, 3794, 3796, 3801, 3804, 3811, 3815, 3818, 3819, 3821, 3823, 3826, 3829, 3830, 3831, 3836, 3842, 3844, 3845, 3846, 3850, 3858, 3859, 3866, 3870, 3886, 3888, 3889, 3890, 3892, 3897, 3901, 3903, 3905, 3908, 3909, 3913, 3914, 3915, 3919, 3921, 3925, 3927, 3931, 3934, 3935, 3938, 3944, 3945, 3946, 3954, 3958, 3959, 3964, 3969, 3979, 3986, 3987, 3990, 3991, 3997, 3998, 4002, 4006, 4013, 4017, 4021, 4023, 4025, 4027, 4030, 4032, 4033, 4038, 4039, 4044, 4047, 4055, 4060, 4075, 4082, 4085, 4092, 4093, 4095, 4102, 4104, 4118, 4119, 4120, 4121, 4127, 4128, 4129, 4134, 4136, 4141, 4149, 4158, 4160, 4161, 4164, 4166, 4169, 4173, 4176, 4180, 4183, 4187, 4188, 4190, 4191, 4193, 4194, 4196, 4197, 4199, 4201, 4202, 4203, 4204, 4229, 4234, 4237, 4248, 4251, 4255, 4259, 4262, 4272, 4273, 4274, 4285, 4287, 4292, 4296, 4299, 4301, 4304, 4308, 4312, 4313, 4315, 4318, 4320, 4327, 4328, 4330, 4332, 4336, 4340, 4344, 4345, 4348, 4353, 4355, 4363, 4376, 4381, 4384, 4386, 4394, 4395, 4400, 4402, 4408, 4409, 4413, 4414, 4416, 4424, 4425, 4428, 4434, 4435, 4444, 4446, 4455, 4461, 4462, 4463, 4465, 4467, 4472, 4476, 4479, 4482, 4487, 4498, 4499, 4504, 4505, 4511, 4512, 4514, 4530, 4532, 4534, 4540, 4541, 4542, 4544, 4556, 4557, 4563, 4569, 4575, 4576, 4577, 4592, 4603, 4610, 4615, 4616, 4618, 4619, 4623, 4624, 4625, 4628, 4635, 4636, 4638, 4639, 4640, 4643, 4644, 4646, 4653, 4660, 4661, 4665, 4673, 4675, 4676, 4682, 4683, 4684, 4688, 4690, 4694, 4698, 4703, 4706, 4714, 4720, 4723, 4724, 4728, 4731, 4734, 4736, 4746, 4749, 4750, 4753, 4756, 4757, 4770, 4772, 4776, 4780, 4781, 4782, 4783, 4785, 4786, 4787, 4789, 4794, 4795, 4801, 4802, 4815, 4816, 4818, 4827, 4829, 4832, 4834, 4839, 4845, 4854, 4857, 4859, 4860, 4861, 4872, 4876, 4879, 4882, 4886, 4888, 4891, 4895, 4905, 4906, 4912, 4917, 4919, 4921, 4928, 4929, 4950, 4954, 4963, 4970, 4972, 4984, 4986, 4988, 4992, 4994, 4998, 4999, 5003, 5010, 5011, 5012, 5017, 5018, 5019, 5023, 5024, 5026, 5037, 5041, 5042, 5046, 5051, 5052, 5056, 5057, 5061, 5062, 5065, 5066, 5070, 5072, 5079, 5081, 5084, 5085, 5089, 5096, 5099, 5100, 5101, 5102, 5105, 5108, 5112, 5116, 5124, 5125, 5128, 5133, 5136, 5142, 5148, 5156, 5159, 5162, 5163, 5166, 5170, 5172, 5176, 5179, 5180, 5182, 5187, 5198, 5202, 5203, 5209, 5213, 5216, 5218, 5225, 5242, 5243, 5245, 5255, 5256, 5257, 5258, 5262, 5265, 5270, 5274, 5275, 5280, 5287, 5293, 5300, 5301, 5302, 5303, 5308, 5312, 5323, 5335, 5348, 5352, 5355, 5360, 5368, 5373, 5374, 5375, 5382, 5385, 5388, 5390, 5404, 5405, 5406, 5409, 5410, 5414, 5419, 5420, 5422, 5426, 5429, 5435, 5439, 5443, 5445, 5448, 5450, 5452, 5455, 5456, 5464, 5473, 5478, 5481, 5486, 5493, 5494, 5495, 5501, 5503, 5516, 5522, 5523, 5527, 5530, 5539, 5540, 5541, 5542, 5550, 5553, 5554, 5557, 5563, 5566, 5569, 5577, 5579, 5581, 5587, 5590, 5591, 5596, 5598, 5605, 5607, 5617, 5625, 5630, 5632, 5635, 5641, 5643, 5647, 5652, 5655, 5656, 5667, 5671, 5672, 5673, 5674, 5682, 5688, 5690, 5693, 5694, 5717, 5718, 5721, 5723, 5728, 5729, 5731, 5738, 5739, 5741, 5743, 5747, 5748, 5756, 5774, 5782, 5786, 5788, 5794, 5798, 5807, 5813, 5818, 5820, 5823, 5826, 5831, 5833, 5834, 5835, 5836, 5848, 5851, 5852, 5864, 5867, 5868, 5878, 5879, 5880, 5882, 5884, 5906, 5911, 5914, 5927, 5934, 5940, 5943, 5944, 5949, 5951, 5956, 5957, 5960, 5965, 5966, 5967, 5972, 5973, 5977, 5980, 5990, 5998, 5999, 6001, 6002, 6003, 6005, 6007, 6008, 6013, 6015, 6017, 6021, 6022, 6023, 6024, 6025, 6034, 6040, 6048, 6057, 6059, 6065, 6067, 6074, 6075, 6076, 6094, 6095, 6096, 6106, 6108, 6109, 6118, 6120, 6121, 6122, 6124, 6130, 6132, 6136, 6141, 6147, 6153, 6154, 6159, 6160, 6166, 6167, 6170, 6174, 6177, 6182, 6189, 6190, 6192, 6193, 6196, 6204, 6206, 6207, 6217, 6221, 6223, 6228, 6229, 6230, 6232, 6233, 6236, 6239, 6244, 6245, 6246, 6249, 6254, 6261, 6262, 6264, 6267, 6269, 6271, 6283, 6288, 6289, 6298, 6299, 6300, 6302, 6307, 6308, 6311, 6313, 6322, 6324, 6333, 6336, 6342, 6344, 6346, 6352, 6355, 6356, 6358, 6360, 6363, 6366, 6373, 6376, 6378, 6381, 6383, 6385, 6392, 6401, 6405, 6406, 6415, 6419, 6425, 6427, 6438, 6441, 6450, 6452, 6454, 6459, 6462, 6466, 6468, 6470, 6477, 6478, 6481, 6485, 6491, 6502, 6506, 6507, 6508, 6510, 6511, 6513, 6520, 6524, 6527, 6529, 6530, 6532, 6534, 6540, 6562, 6566, 6572, 6579, 6580, 6584, 6603, 6606, 6608, 6611, 6613, 6614, 6621, 6623, 6624, 6625, 6630, 6632, 6633, 6635, 6640, 6643, 6645, 6646, 6661, 6668, 6672, 6677, 6678, 6683, 6684, 6685, 6686, 6687, 6692, 6695, 6696, 6697, 6702, 6703, 6708, 6715, 6720, 6722, 6728, 6733, 6740, 6741, 6745, 6746, 6752, 6753, 6754, 6759, 6760, 6763, 6766, 6768, 6778, 6781, 6784, 6789, 6790, 6793, 6803, 6805, 6815, 6816, 6819, 6825, 6831, 6844, 6845, 6853, 6854, 6858, 6859, 6867, 6871, 6875, 6880, 6886, 6896, 6899, 6902, 6910, 6912, 6913, 6916, 6925, 6927, 6929, 6936, 6937, 6940, 6948, 6954, 6956, 6962, 6972, 6976, 6985, 6991, 6993, 7003, 7016, 7023, 7029, 7032, 7037, 7048, 7049, 7051, 7053, 7054, 7055, 7057, 7069, 7073, 7075, 7078, 7083, 7084, 7095, 7105, 7115, 7127, 7128, 7134, 7135, 7137, 7141, 7143, 7145, 7146, 7148, 7149, 7153, 7155, 7164, 7165, 7181, 7186, 7188, 7190, 7194, 7195, 7198, 7203, 7205, 7209, 7215, 7217, 7220, 7232, 7235, 7237, 7239, 7243, 7248, 7250, 7255, 7268, 7269, 7272, 7276, 7282, 7283, 7289, 7295, 7303, 7307, 7308, 7316, 7317, 7318, 7321, 7328, 7329, 7331, 7334, 7339, 7349, 7353, 7356, 7357, 7363, 7367, 7368, 7369, 7381, 7389, 7396, 7409, 7410, 7417, 7423, 7426, 7427, 7428, 7433, 7435, 7440, 7454, 7461, 7463, 7471, 7476, 7478, 7480, 7484, 7491, 7495, 7499, 7504, 7509, 7513, 7515, 7516, 7525, 7537, 7541, 7546, 7549, 7552, 7553, 7555, 7557, 7561, 7564, 7565, 7566, 7580, 7581, 7585, 7594, 7607, 7610, 7611, 7623, 7627, 7628, 7629, 7633, 7654, 7657, 7658, 7663, 7666, 7667, 7668, 7692, 7693, 7695, 7696, 7698, 7701, 7707, 7717, 7720, 7722, 7725, 7726, 7727, 7729, 7730, 7731, 7732, 7734, 7735, 7742, 7744, 7750, 7751, 7755, 7756, 7766, 7767, 7769, 7771, 7773, 7774, 7776, 7781, 7791, 7801, 7813, 7815, 7819, 7822, 7825, 7826, 7829, 7841, 7843, 7845, 7846, 7855, 7858, 7859, 7860, 7870, 7873, 7876, 7877, 7878, 7880, 7892, 7893, 7894, 7904, 7905, 7909, 7915, 7921, 7922, 7923, 7925, 7928, 7934, 7948, 7952, 7955, 7960, 7961, 7967, 7968, 7971, 7973, 7977, 7978, 7981, 7983, 7984, 7987, 7993, 7994, 7999, 8002, 8006, 8007, 8011, 8014, 8016, 8017, 8020, 8024, 8027, 8031, 8033, 8034, 8035, 8037, 8039, 8042, 8045, 8047, 8048, 8052, 8064, 8067, 8069, 8072, 8077, 8080, 8082, 8089, 8094, 8100, 8102, 8110, 8111, 8113, 8114, 8117, 8123, 8125, 8128, 8138, 8142, 8144, 8146, 8147, 8152, 8153, 8155, 8169, 8173, 8174, 8175, 8180, 8186, 8194, 8196, 8197, 8207, 8209, 8210, 8212, 8216, 8218, 8220, 8224, 8227, 8228, 8232, 8236, 8240, 8241, 8243, 8248, 8251, 8259, 8264, 8267, 8270, 8278, 8283, 8295, 8298, 8299, 8305, 8307, 8314, 8317, 8319, 8320, 8325, 8334, 8336, 8340, 8345, 8350, 8351, 8357, 8359, 8361, 8362, 8363, 8364, 8369, 8371, 8377, 8381, 8385, 8387, 8391, 8396, 8398, 8399, 8403, 8405, 8408, 8411, 8416, 8418, 8419, 8421, 8426, 8430, 8431, 8432, 8434, 8443, 8451, 8453, 8457, 8460, 8465, 8472, 8473, 8480, 8484, 8485, 8486, 8488, 8490, 8499, 8510, 8512, 8523, 8528, 8531, 8532, 8533, 8535, 8558, 8561, 8563, 8571, 8578, 8579, 8587, 8588, 8593, 8597, 8601, 8603, 8608, 8609, 8610, 8612, 8617, 8618, 8623, 8626, 8628, 8629, 8631, 8633, 8634, 8639, 8642, 8646, 8649, 8652, 8660, 8663, 8665, 8666, 8670, 8672, 8673, 8675, 8684, 8686, 8688, 8690, 8692, 8693, 8694, 8697, 8702, 8711, 8725, 8726, 8727, 8728, 8730, 8734, 8737, 8739, 8740, 8746, 8748, 8753, 8755, 8757, 8759, 8760, 8761, 8763, 8764, 8768, 8773, 8776, 8779, 8781, 8786, 8788, 8789, 8800, 8801, 8807, 8810, 8812, 8814, 8818, 8819, 8821, 8828, 8832, 8841, 8844, 8859, 8864, 8869, 8873, 8877, 8880, 8883, 8884, 8886, 8887, 8888, 8889, 8896, 8903, 8905, 8909, 8915, 8916, 8922, 8923, 8925, 8926, 8928, 8935, 8937, 8945, 8947, 8948, 8954, 8955, 8959, 8960, 8962, 8965, 8967, 8969, 8973, 8978, 8984, 8987, 8992, 9010, 9011, 9014, 9017, 9018, 9022, 9023, 9025, 9028, 9031, 9033, 9035, 9036, 9052, 9054, 9062, 9064, 9066, 9068, 9072, 9075, 9079, 9082, 9086, 9087, 9090, 9093, 9094, 9098, 9100, 9101, 9104, 9105, 9106, 9108, 9109, 9113, 9114, 9115, 9116, 9119, 9128, 9129, 9140, 9142, 9143, 9144, 9146, 9148, 9153, 9159, 9160, 9166, 9168, 9169, 9177, 9187, 9195, 9207, 9210, 9213, 9214, 9223, 9236, 9237, 9238, 9240, 9256, 9257, 9259, 9262, 9263, 9265, 9267, 9272, 9279, 9280, 9281, 9284, 9288, 9290, 9296, 9297, 9299, 9301, 9302, 9311, 9319, 9321, 9346, 9348, 9351, 9352, 9353, 9354, 9379, 9387, 9388, 9391, 9396, 9407, 9409, 9411, 9417, 9420, 9423, 9424, 9426, 9432, 9435, 9437, 9438, 9444, 9448, 9457, 9464, 9468, 9473, 9477, 9479, 9483, 9490, 9496, 9502, 9503, 9506, 9507, 9511, 9516, 9518, 9519, 9520, 9524, 9526, 9527, 9530, 9531, 9532, 9538, 9540, 9541, 9546, 9550, 9553, 9554, 9555, 9556, 9560, 9561, 9562, 9569, 9572, 9574, 9578, 9580, 9585, 9587, 9589, 9594, 9598, 9600, 9608, 9615, 9616, 9621, 9624, 9625, 9633, 9634, 9636, 9647, 9648, 9652, 9655, 9664, 9665, 9667, 9674, 9676, 9686, 9687, 9696, 9697, 9699, 9703, 9708, 9710, 9713, 9715, 9717, 9724, 9726, 9733, 9746, 9751, 9752, 9757, 9760, 9761, 9762, 9779, 9782, 9785, 9787, 9799, 9800, 9806, 9808, 9809, 9824, 9828, 9829, 9830, 9832, 9837, 9858, 9862, 9863, 9878, 9883, 9885, 9886, 9887, 9888, 9890, 9891, 9893, 9894, 9895, 9898, 9900, 9902, 9909, 9911, 9913, 9916, 9921, 9923, 9924, 9925, 9926, 9927, 9930, 9933, 9935, 9941, 9948, 9957, 9960, 9961, 9968, 9975, 9976, 9980, 9988, 9989, 9992, 9996, 10000, 10015, 10034, 10037, 10040, 10042, 10051, 10053, 10054, 10057, 10058, 10061, 10072, 10074, 10078, 10085, 10086, 10093, 10095, 10096, 10104, 10111, 10115, 10119, 10122, 10124, 10125, 10129, 10133, 10136, 10139, 10144, 10145, 10148, 10151, 10153, 10154, 10156, 10160, 10162, 10166, 10173, 10175, 10180, 10184, 10194, 10200, 10201, 10203, 10207, 10211, 10218, 10219, 10222, 10226, 10236, 10238, 10239, 10240, 10247, 10249, 10254, 10255, 10259, 10260, 10271, 10272, 10278, 10279, 10280, 10283, 10285, 10288, 10294, 10302, 10304, 10308, 10309, 10312, 10320, 10322, 10332, 10333, 10335, 10337, 10343, 10347, 10349, 10358, 10363, 10368, 10369, 10374, 10376, 10384, 10385, 10393, 10403, 10405, 10409, 10414, 10415, 10417, 10420, 10421, 10425, 10429, 10435, 10438, 10440, 10456, 10457, 10460, 10464, 10467, 10469, 10471, 10472, 10475, 10477, 10480, 10483, 10484, 10488, 10489, 10490, 10493, 10495, 10500, 10501, 10502, 10505, 10507, 10512, 10519, 10520, 10523, 10530, 10536, 10540, 10546, 10553, 10557, 10562, 10566, 10569, 10570, 10579, 10585, 10590, 10593, 10595, 10601, 10607, 10612, 10614, 10621, 10625, 10626, 10633, 10638, 10639, 10643, 10649, 10653, 10654, 10655, 10657, 10658, 10659, 10661, 10662, 10667, 10668, 10676, 10703, 10708, 10709, 10721, 10722, 10723, 10725, 10727, 10731, 10734, 10749, 10762, 10771, 10777, 10781, 10788, 10790, 10791, 10803, 10804, 10807, 10822, 10823, 10827, 10832, 10840, 10851, 10856, 10862, 10866, 10869, 10874, 10896, 10903, 10911, 10914, 10916, 10917, 10922, 10924, 10925, 10926, 10930, 10939, 10942, 10948, 10949, 10954, 10963, 10965, 10967, 10969, 10977, 10980, 10981, 10987, 10995, 10996, 11003, 11004, 11007, 11015, 11018, 11025, 11033, 11036, 11054, 11055, 11062, 11065, 11066, 11077, 11080, 11082, 11088, 11095, 11098, 11101, 11105, 11109, 11116, 11117, 11122, 11123, 11134, 11142, 11152, 11159, 11165, 11172, 11176, 11185, 11186, 11188, 11203, 11205, 11207, 11214, 11241, 11245, 11247, 11249, 11253, 11255, 11256, 11264, 11265, 11273, 11276, 11279, 11282, 11284, 11285, 11293, 11295, 11296, 11298, 11300, 11302, 11305, 11309, 11310, 11326, 11330, 11339, 11342, 11348, 11352, 11357, 11362, 11363, 11368, 11369, 11373, 11376, 11377, 11380, 11381, 11387, 11390, 11397, 11402, 11406, 11408, 11409, 11413, 11415, 11416, 11418, 11419, 11421, 11422, 11425, 11428, 11429, 11433, 11436, 11442, 11443, 11445, 11447, 11453, 11460, 11465, 11468, 11469, 11483, 11492, 11497, 11498, 11513, 11516, 11518, 11519, 11527, 11528, 11531, 11534, 11536, 11539, 11540, 11546, 11552, 11556, 11559, 11565, 11567, 11569, 11572, 11574, 11576, 11579, 11582, 11584, 11589, 11591, 11592, 11593, 11599, 11605, 11608, 11613, 11616, 11624, 11625, 11629, 11630, 11633, 11639, 11640, 11649, 11655, 11656, 11665, 11674, 11675, 11678, 11697, 11702, 11704, 11706, 11716, 11721, 11724, 11727, 11728, 11733, 11734, 11742, 11744, 11745, 11746, 11747, 11753, 11768, 11777, 11778, 11779, 11785, 11802, 11803, 11806, 11810, 11814, 11815, 11817, 11818, 11820, 11825, 11827, 11832, 11834, 11839, 11848, 11850, 11859, 11864, 11866, 11871, 11872, 11875, 11881, 11883, 11885, 11891, 11898, 11899, 11913, 11917, 11918, 11921, 11924, 11926, 11930, 11931, 11936, 11937, 11939, 11943, 11946, 11948, 11952, 11953, 11960, 11962, 11968, 11969, 11971, 11972, 11983, 11985, 11992, 11995, 11996, 12003, 12005, 12007, 12008, 12013, 12020, 12023, 12027, 12028, 12037, 12042, 12043, 12044, 12046, 12048, 12050, 12053, 12057, 12060, 12062, 12072, 12077, 12082, 12083, 12084, 12087, 12090, 12097, 12099, 12101, 12102, 12104, 12109, 12111, 12112, 12113, 12114, 12119, 12125, 12130, 12132, 12134, 12139, 12142, 12143, 12149, 12151, 12153, 12158, 12160, 12161, 12162, 12170, 12175, 12178, 12183, 12199, 12203, 12206, 12211, 12212, 12214, 12215, 12216, 12218, 12220, 12223, 12230, 12231, 12233, 12237, 12240, 12245, 12246, 12249, 12257, 12258, 12260, 12262, 12265, 12267, 12270, 12271, 12273, 12275, 12277, 12280, 12283, 12285, 12286, 12287, 12289, 12291, 12293, 12295, 12297, 12301, 12302, 12303, 12304, 12310, 12314, 12322, 12336, 12338, 12346, 12347, 12349, 12352, 12355, 12358, 12364, 12367, 12368, 12373, 12375, 12382, 12389, 12394, 12395, 12399, 12402, 12404, 12405, 12407, 12412, 12421, 12423, 12426, 12429, 12430, 12432, 12434, 12439, 12447, 12449, 12461, 12462, 12475, 12478, 12487, 12489, 12492, 12496, 12498, 12500, 12503, 12504, 12505, 12515, 12516, 12517, 12521, 12529, 12530, 12534, 12537, 12541, 12547, 12553, 12555, 12557, 12561, 12568, 12577, 12581, 12586, 12591, 12592, 12594, 12596, 12602, 12603, 12613, 12616, 12618, 12620, 12624, 12627, 12644, 12645, 12659, 12660, 12661, 12662, 12666, 12673, 12679, 12681, 12691, 12692, 12694, 12707, 12708, 12710, 12712, 12715, 12718, 12733, 12734, 12737, 12748, 12751, 12752, 12753, 12755, 12758, 12760, 12762, 12763, 12766, 12773, 12779, 12781, 12789, 12792, 12794, 12796, 12801, 12803, 12808, 12810, 12814, 12820, 12824, 12832, 12843, 12848, 12849, 12850, 12851, 12856, 12861, 12862, 12868, 12869, 12871, 12888, 12890, 12899, 12903, 12905, 12906, 12910, 12911, 12916, 12917, 12921, 12928, 12929, 12931, 12936, 12950, 12957, 12960, 12962, 12967, 12976, 12980, 12983, 12985, 12989, 12995, 12997, 12998, 13000, 13005, 13012, 13018, 13027, 13033, 13034, 13041, 13042, 13050, 13055, 13058, 13064, 13065, 13068, 13075, 13079, 13087, 13090, 13092, 13095, 13096, 13099, 13101, 13106, 13110, 13113, 13114, 13119, 13125, 13130, 13133, 13134, 13137, 13141, 13148, 13150, 13152, 13153, 13155, 13161, 13164, 13170, 13173, 13175, 13177, 13180, 13183, 13192, 13197, 13198, 13202, 13203, 13215, 13219, 13223, 13226, 13234, 13236, 13241, 13242, 13247, 13248, 13249, 13251, 13252, 13259, 13264, 13270, 13273, 13278, 13279, 13282, 13284, 13289, 13290, 13299, 13302, 13304, 13309, 13315, 13316, 13320, 13323, 13327, 13331, 13337, 13358, 13361, 13362, 13375, 13378, 13381, 13388, 13397, 13403, 13405, 13409, 13413, 13415, 13416, 13419, 13420, 13424, 13425, 13429, 13434, 13437, 13438, 13443, 13452, 13456, 13461, 13466, 13469, 13478, 13480, 13481, 13482, 13484, 13487, 13488, 13494, 13501, 13503, 13505, 13506, 13507, 13517, 13518, 13523, 13525, 13528, 13538, 13542, 13546, 13547, 13549, 13566, 13567, 13569, 13573, 13574, 13581, 13583, 13584, 13585, 13586, 13590, 13591, 13592, 13595, 13598, 13599, 13609, 13615, 13617, 13626, 13628, 13635, 13643, 13646, 13652, 13656, 13666, 13670, 13672, 13674, 13676, 13692, 13703, 13705, 13709, 13730, 13732, 13733, 13735, 13737, 13742, 13743, 13747, 13748, 13749, 13751, 13753, 13760, 13761, 13766, 13767, 13770, 13773, 13775, 13778, 13780, 13781, 13787, 13791, 13793, 13799, 13802, 13821, 13825, 13831, 13834, 13840, 13843, 13844, 13860, 13865, 13869, 13871, 13874, 13879, 13880, 13883, 13886, 13889, 13891, 13895, 13896, 13897, 13899, 13916, 13920, 13926, 13930, 13931, 13932, 13936, 13939, 13940, 13945, 13946, 13948, 13951, 13960, 13973, 13976, 13978, 13980, 13982, 13984, 13985, 13987, 13988, 13994, 13997, 14000, 14002, 14003, 14007, 14010, 14012, 14017, 14019, 14023, 14024, 14029, 14030, 14037, 14039, 14040, 14041, 14042, 14048, 14052, 14057, 14068, 14075, 14077, 14081, 14089, 14091, 14092, 14095, 14096, 14097, 14101, 14107, 14108, 14109, 14111, 14113, 14114, 14123, 14125, 14126, 14132, 14140, 14142, 14143, 14146, 14155, 14156, 14157, 14159, 14162, 14163, 14166, 14167, 14176, 14181, 14187, 14192, 14194, 14195, 14197, 14199, 14202, 14212, 14213, 14215, 14217, 14222, 14231, 14233, 14235, 14243, 14248, 14249, 14250, 14253, 14255, 14259, 14263, 14267, 14269, 14270, 14276, 14278, 14280, 14282, 14286, 14295, 14297, 14300, 14306, 14307, 14310, 14320, 14325, 14332, 14340, 14348, 14351, 14352, 14354, 14356, 14362, 14363, 14374, 14376, 14377, 14379, 14382, 14383, 14387, 14388, 14395, 14397, 14409, 14414, 14417, 14422, 14423, 14426, 14432, 14438, 14444, 14448, 14452, 14456, 14460, 14464, 14466, 14469, 14472, 14479, 14482, 14487, 14492, 14493, 14494, 14503, 14508, 14515, 14523, 14524, 14526, 14552, 14553, 14554, 14556, 14563, 14569, 14577, 14578, 14579, 14581, 14586, 14588, 14593, 14594, 14597, 14598, 14599, 14606, 14620, 14622, 14623, 14629, 14631, 14633, 14634, 14641, 14648, 14652, 14654, 14662, 14664, 14666, 14670, 14674, 14677, 14679, 14680, 14697, 14705, 14706, 14710, 14712, 14713, 14714, 14719, 14721, 14722, 14724, 14729, 14732, 14737, 14744, 14745, 14746, 14749, 14756, 14761, 14768, 14769, 14771, 14777, 14781, 14789, 14798, 14799, 14802, 14803, 14806, 14811, 14817, 14820, 14821, 14828, 14829, 14831, 14837, 14839, 14844, 14845, 14849, 14856, 14858, 14867, 14868, 14871, 14876, 14880, 14885, 14887, 14889, 14895, 14896, 14901, 14906, 14910, 14913, 14914, 14918, 14920, 14932, 14933, 14937, 14943, 14944, 14947, 14954, 14957, 14961, 14964, 14965, 14967, 14973, 14986, 14988, 14993, 14997, 14998, 15003, 15004, 15006, 15008, 15011, 15012, 15016, 15024, 15029, 15030, 15031, 15033, 15035, 15043, 15058, 15060, 15064, 15065, 15072, 15074, 15077, 15080, 15081, 15082, 15083, 15084, 15086, 15087, 15092, 15095, 15102, 15104, 15110, 15111, 15112, 15118, 15123, 15124, 15125, 15126, 15134, 15135, 15136, 15139, 15140, 15150, 15154, 15160, 15161, 15169, 15170, 15176, 15178, 15180, 15181, 15194, 15200, 15202, 15209, 15212, 15217, 15222, 15223, 15229, 15237, 15241, 15244, 15248, 15254, 15262, 15265, 15271, 15275, 15280, 15285, 15287, 15288, 15289, 15291, 15303, 15306, 15307, 15309, 15311, 15314, 15316, 15317, 15323, 15329, 15331, 15332, 15334, 15336, 15345, 15347, 15350, 15354, 15357, 15372, 15373, 15374, 15376, 15378, 15382, 15384, 15385, 15386, 15391, 15394, 15398, 15404, 15406, 15420, 15428, 15433, 15439, 15443, 15444, 15452, 15453, 15456, 15457, 15461, 15462, 15463, 15464, 15467, 15475, 15479, 15482, 15485, 15488, 15497, 15498, 15506, 15508, 15512, 15514, 15523, 15534, 15543, 15545, 15546, 15549, 15553, 15554, 15560, 15561, 15562, 15566, 15567, 15570, 15574, 15575, 15578, 15584, 15589, 15595, 15596, 15606, 15629, 15648, 15649, 15650, 15652, 15657, 15658, 15659, 15664, 15665, 15668, 15671, 15674, 15675, 15676, 15679, 15683, 15688, 15698, 15699, 15709, 15711, 15712, 15713, 15716, 15722, 15725, 15727, 15729, 15734, 15737, 15739, 15747, 15748, 15757, 15762, 15763, 15765, 15770, 15775, 15776, 15789, 15795, 15802, 15805, 15820, 15822, 15825, 15835, 15836, 15839, 15845, 15851, 15854, 15865, 15874, 15875, 15876, 15877, 15884, 15885, 15889, 15896, 15900, 15901, 15902, 15909, 15917, 15919, 15921, 15923, 15926, 15933, 15936, 15940, 15941, 15943, 15947, 15948, 15952, 15958, 15963, 15965, 15969, 15970, 15971, 15973, 15974, 15975, 15976, 15980, 15988, 15990, 15996, 15999, 16003, 16008, 16014, 16015, 16017, 16019, 16020, 16022, 16032, 16034, 16037, 16046, 16047, 16048, 16055, 16058, 16059, 16062, 16063, 16064, 16065, 16067, 16069, 16080, 16083, 16084, 16085, 16086, 16087, 16088, 16092, 16102, 16104, 16109, 16114, 16116, 16118, 16121, 16127, 16130, 16132, 16134, 16153, 16161, 16164, 16168, 16171, 16175, 16188, 16190, 16192, 16194, 16196, 16198, 16203, 16210, 16211, 16212, 16213, 16215, 16219, 16221, 16231, 16236, 16238, 16248, 16264, 16265, 16270, 16276, 16279, 16283, 16285, 16290, 16298, 16299, 16303, 16305, 16307, 16308, 16320, 16322, 16327, 16328, 16332, 16335, 16339, 16340, 16345, 16354, 16358, 16359, 16362, 16364, 16373, 16374, 16375, 16376, 16380, 16381, 16388, 16389, 16390, 16393, 16394, 16403, 16407, 16408, 16410, 16411, 16416, 16419, 16420, 16423, 16427, 16431, 16432, 16438, 16439, 16441, 16445, 16446, 16448, 16449, 16450, 16459, 16461, 16468, 16474, 16475, 16476, 16477, 16480, 16482, 16487, 16495, 16497, 16501, 16503, 16509, 16510, 16514, 16515, 16518, 16519, 16522, 16528, 16532, 16534, 16536, 16537, 16540, 16551, 16560, 16565, 16572, 16573, 16583, 16584, 16588, 16589, 16590, 16591, 16597, 16599, 16602, 16605, 16618, 16624, 16630, 16645, 16648, 16653, 16654, 16669, 16676, 16689, 16695, 16703, 16705, 16708, 16709, 16710, 16714, 16715, 16721, 16723, 16727, 16734, 16741, 16747, 16748, 16754]
Gap-uri:
[4, 1, 9, 4, 2, 1, 2, 3, 4, 1, 2, 10, 11, 4, 3, 3, 1, 1, 2, 1, 1, 3, 8, 3, 8, 6, 2, 13, 2, 1, 1, 1, 5, 1, 1, 2, 11, 3, 2, 1, 3, 1, 8, 2, 8, 4, 2, 8, 3, 3, 3, 1, 4, 7, 8, 6, 8, 3, 2, 8, 1, 2, 7, 3, 9, 16, 1, 1, 4, 1, 1, 2, 3, 6, 9, 1, 1, 1, 3, 1, 3, 11, 2, 3, 6, 2, 1, 2, 1, 4, 2, 5, 1, 1, 4, 4, 8, 1, 3, 1, 3, 5, 2, 1, 1, 7, 1, 5, 5, 2, 5, 17, 1, 8, 3, 6, 6, 7, 4, 5, 6, 7, 1, 2, 2, 2, 2, 1, 2, 1, 5, 2, 4, 1, 1, 4, 5, 7, 16, 1, 10, 2, 3, 3, 2, 8, 12, 8, 3, 2, 1, 1, 2, 2, 3, 4, 2, 7, 1, 2, 3, 2, 2, 1, 3, 3, 2, 3, 6, 2, 1, 2, 1, 10, 3, 11, 6, 3, 2, 6, 2, 3, 1, 4, 6, 6, 3, 1, 1, 1, 3, 10, 5, 6, 2, 1, 14, 6, 4, 3, 5, 3, 1, 1, 12, 11, 1, 2, 2, 2, 1, 6, 1, 3, 2, 5, 5, 11, 6, 1, 3, 10, 3, 8, 1, 6, 2, 12, 8, 1, 1, 1, 1, 4, 1, 6, 5, 9, 3, 3, 9, 7, 2, 4, 3, 2, 1, 6, 12, 4, 4, 4, 2, 12, 5, 3, 1, 3, 3, 2, 1, 1, 2, 3, 1, 1, 3, 5, 1, 3, 3, 1, 2, 1, 2, 4, 2, 5, 2, 7, 12, 1, 7, 5, 2, 5, 3, 8, 1, 5, 1, 2, 3, 5, 2, 3, 1, 9, 2, 1, 3, 2, 2, 1, 6, 1, 6, 1, 2, 1, 2, 3, 3, 2, 7, 4, 4, 5, 3, 3, 1, 3, 4, 3, 1, 3, 2, 2, 7, 1, 6, 3, 2, 5, 2, 2, 1, 1, 1, 4, 3, 5, 2, 2, 2, 2, 4, 14, 11, 2, 4, 2, 1, 3, 3, 3, 8, 4, 6, 4, 8, 1, 1, 3, 12, 2, 12, 10, 1, 2, 1, 18, 1, 3, 25, 1, 5, 8, 5, 1, 2, 1, 1, 12, 1, 1, 4, 6, 3, 6, 1, 3, 2, 1, 5, 1, 3, 4, 1, 4, 2, 1, 4, 2, 1, 1, 5, 9, 6, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 2, 3, 4, 1, 3, 6, 4, 18, 2, 8, 2, 19, 3, 5, 2, 11, 3, 1, 2, 3, 1, 2, 2, 2, 16, 7, 1, 5, 1, 2, 2, 4, 1, 2, 8, 1, 4, 9, 5, 3, 1, 6, 1, 2, 1, 1, 4, 1, 1, 2, 2, 4, 1, 1, 6, 3, 17, 1, 1, 3, 5, 1, 2, 6, 1, 3, 3, 2, 1, 1, 21, 1, 4, 1, 1, 4, 4, 6, 2, 1, 4, 7, 2, 1, 3, 2, 1, 3, 1, 1, 1, 1, 10, 4, 2, 10, 7, 1, 4, 1, 1, 7, 4, 10, 1, 1, 3, 3, 5, 5, 3, 9, 5, 2, 3, 10, 7, 2, 1, 3, 1, 1, 1, 5, 3, 3, 1, 10, 4, 1, 2, 5, 4, 7, 3, 7, 8, 11, 4, 1, 4, 1, 2, 2, 1, 1, 1, 4, 1, 6, 7, 3, 1, 1, 2, 2, 8, 9, 3, 8, 6, 5, 5, 2, 4, 3, 2, 2, 3, 6, 7, 6, 6, 8, 2, 9, 3, 6, 2, 1, 6, 11, 10, 12, 1, 2, 1, 1, 3, 5, 5, 6, 2, 11, 4, 1, 1, 3, 4, 2, 4, 4, 11, 7, 3, 3, 3, 4, 2, 8, 2, 11, 8, 6, 2, 7, 4, 1, 4, 1, 3, 3, 5, 9, 2, 5, 1, 12, 5, 4, 4, 3, 10, 7, 2, 4, 2, 4, 4, 6, 10, 1, 1, 4, 1, 6, 4, 5, 9, 6, 7, 2, 2, 1, 1, 5, 1, 3, 7, 3, 1, 11, 2, 3, 1, 6, 2, 6, 3, 3, 2, 13, 1, 5, 5, 3, 2, 2, 2, 1, 2, 8, 4, 13, 3, 1, 2, 6, 1, 7, 3, 1, 8, 5, 4, 1, 3, 10, 4, 10, 1, 1, 13, 1, 3, 2, 16, 1, 2, 6, 2, 6, 3, 2, 1, 4, 3, 2, 1, 2, 11, 8, 1, 7, 5, 2, 10, 1, 3, 5, 6, 2, 3, 5, 5, 3, 2, 1, 12, 3, 1, 1, 1, 5, 2, 4, 1, 22, 3, 16, 2, 7, 1, 5, 1, 10, 1, 8, 2, 3, 5, 14, 1, 2, 8, 7, 11, 12, 1, 4, 1, 1, 3, 2, 22, 5, 1, 6, 8, 5, 5, 7, 2, 2, 4, 3, 3, 1, 1, 12, 4, 1, 4, 1, 4, 1, 1, 1, 3, 1, 2, 5, 1, 1, 2, 5, 4, 5, 1, 4, 5, 9, 3, 5, 1, 2, 9, 2, 6, 1, 2, 4, 4, 4, 8, 3, 3, 7, 3, 5, 3, 2, 1, 2, 5, 4, 4, 3, 1, 5, 3, 3, 5, 13, 7, 4, 4, 4, 2, 8, 2, 1, 4, 1, 4, 2, 2, 3, 4, 1, 4, 2, 3, 5, 3, 9, 1, 1, 11, 3, 6, 7, 2, 3, 3, 1, 1, 5, 1, 3, 1, 9, 12, 3, 1, 2, 7, 3, 11, 3, 2, 6, 2, 3, 16, 1, 8, 6, 3, 6, 5, 4, 1, 1, 3, 1, 14, 6, 10, 5, 1, 1, 3, 2, 11, 3, 2, 12, 10, 1, 9, 5, 5, 1, 8, 3, 3, 2, 5, 3, 7, 4, 3, 1, 2, 2, 3, 3, 1, 1, 5, 6, 2, 1, 1, 4, 8, 1, 7, 4, 16, 2, 1, 1, 2, 5, 4, 2, 2, 3, 1, 4, 1, 1, 4, 2, 4, 2, 4, 3, 1, 3, 6, 1, 1, 8, 4, 1, 5, 5, 10, 7, 1, 3, 1, 6, 1, 4, 4, 7, 4, 4, 2, 2, 2, 3, 2, 1, 5, 1, 5, 3, 8, 5, 15, 7, 3, 7, 1, 2, 7, 2, 14, 1, 1, 1, 6, 1, 1, 5, 2, 5, 8, 9, 2, 1, 3, 2, 3, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 25, 5, 3, 11, 3, 4, 4, 3, 10, 1, 1, 11, 2, 5, 4, 3, 2, 3, 4, 4, 1, 2, 3, 2, 7, 1, 2, 2, 4, 4, 4, 1, 3, 5, 2, 8, 13, 5, 3, 2, 8, 1, 5, 2, 6, 1, 4, 1, 2, 8, 1, 3, 6, 1, 9, 2, 9, 6, 1, 1, 2, 2, 5, 4, 3, 3, 5, 11, 1, 5, 1, 6, 1, 2, 16, 2, 2, 6, 1, 1, 2, 12, 1, 6, 6, 6, 1, 1, 15, 11, 7, 5, 1, 2, 1, 4, 1, 1, 3, 7, 1, 2, 1, 1, 3, 1, 2, 7, 7, 1, 4, 8, 2, 1, 6, 1, 1, 4, 2, 4, 4, 5, 3, 8, 6, 3, 1, 4, 3, 3, 2, 10, 3, 1, 3, 3, 1, 13, 2, 4, 4, 1, 1, 1, 2, 1, 1, 2, 5, 1, 6, 1, 13, 1, 2, 9, 2, 3, 2, 5, 6, 9, 3, 2, 1, 1, 11, 4, 3, 3, 4, 2, 3, 4, 10, 1, 6, 5, 2, 2, 7, 1, 21, 4, 9, 7, 2, 12, 2, 2, 4, 2, 4, 1, 4, 7, 1, 1, 5, 1, 1, 4, 1, 2, 11, 4, 1, 4, 5, 1, 4, 1, 4, 1, 3, 1, 4, 2, 7, 2, 3, 1, 4, 7, 3, 1, 1, 1, 3, 3, 4, 4, 8, 1, 3, 5, 3, 6, 6, 8, 3, 3, 1, 3, 4, 2, 4, 3, 1, 2, 5, 11, 4, 1, 6, 4, 3, 2, 7, 17, 1, 2, 10, 1, 1, 1, 4, 3, 5, 4, 1, 5, 7, 6, 7, 1, 1, 1, 5, 4, 11, 12, 13, 4, 3, 5, 8, 5, 1, 1, 7, 3, 3, 2, 14, 1, 1, 3, 1, 4, 5, 1, 2, 4, 3, 6, 4, 4, 2, 3, 2, 2, 3, 1, 8, 9, 5, 3, 5, 7, 1, 1, 6, 2, 13, 6, 1, 4, 3, 9, 1, 1, 1, 8, 3, 1, 3, 6, 3, 3, 8, 2, 2, 6, 3, 1, 5, 2, 7, 2, 10, 8, 5, 2, 3, 6, 2, 4, 5, 3, 1, 11, 4, 1, 1, 1, 8, 6, 2, 3, 1, 23, 1, 3, 2, 5, 1, 2, 7, 1, 2, 2, 4, 1, 8, 18, 8, 4, 2, 6, 4, 9, 6, 5, 2, 3, 3, 5, 2, 1, 1, 1, 12, 3, 1, 12, 3, 1, 10, 1, 1, 2, 2, 22, 5, 3, 13, 7, 6, 3, 1, 5, 2, 5, 1, 3, 5, 1, 1, 5, 1, 4, 3, 10, 8, 1, 2, 1, 1, 2, 2, 1, 5, 2, 2, 4, 1, 1, 1, 1, 9, 6, 8, 9, 2, 6, 2, 7, 1, 1, 18, 1, 1, 10, 2, 1, 9, 2, 1, 1, 2, 6, 2, 4, 5, 6, 6, 1, 5, 1, 6, 1, 3, 4, 3, 5, 7, 1, 2, 1, 3, 8, 2, 1, 10, 4, 2, 5, 1, 1, 2, 1, 3, 3, 5, 1, 1, 3, 5, 7, 1, 2, 3, 2, 2, 12, 5, 1, 9, 1, 1, 2, 5, 1, 3, 2, 9, 2, 9, 3, 6, 2, 2, 6, 3, 1, 2, 2, 3, 3, 7, 3, 2, 3, 2, 2, 7, 9, 4, 1, 9, 4, 6, 2, 11, 3, 9, 2, 2, 5, 3, 4, 2, 2, 7, 1, 3, 4, 6, 11, 4, 1, 1, 2, 1, 2, 7, 4, 3, 2, 1, 2, 2, 6, 22, 4, 6, 7, 1, 4, 19, 3, 2, 3, 2, 1, 7, 2, 1, 1, 5, 2, 1, 2, 5, 3, 2, 1, 15, 7, 4, 5, 1, 5, 1, 1, 1, 1, 5, 3, 1, 1, 5, 1, 5, 7, 5, 2, 6, 5, 7, 1, 4, 1, 6, 1, 1, 5, 1, 3, 3, 2, 10, 3, 3, 5, 1, 3, 10, 2, 10, 1, 3, 6, 6, 13, 1, 8, 1, 4, 1, 8, 4, 4, 5, 6, 10, 3, 3, 8, 2, 1, 3, 9, 2, 2, 7, 1, 3, 8, 6, 2, 6, 10, 4, 9, 6, 2, 10, 13, 7, 6, 3, 5, 11, 1, 2, 2, 1, 1, 2, 12, 4, 2, 3, 5, 1, 11, 10, 10, 12, 1, 6, 1, 2, 4, 2, 2, 1, 2, 1, 4, 2, 9, 1, 16, 5, 2, 2, 4, 1, 3, 5, 2, 4, 6, 2, 3, 12, 3, 2, 2, 4, 5, 2, 5, 13, 1, 3, 4, 6, 1, 6, 6, 8, 4, 1, 8, 1, 1, 3, 7, 1, 2, 3, 5, 10, 4, 3, 1, 6, 4, 1, 1, 12, 8, 7, 13, 1, 7, 6, 3, 1, 1, 5, 2, 5, 14, 7, 2, 8, 5, 2, 2, 4, 7, 4, 4, 5, 5, 4, 2, 1, 9, 12, 4, 5, 3, 3, 1, 2, 2, 4, 3, 1, 1, 14, 1, 4, 9, 13, 3, 1, 12, 4, 1, 1, 4, 21, 3, 1, 5, 3, 1, 1, 24, 1, 2, 1, 2, 3, 6, 10, 3, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 7, 2, 6, 1, 4, 1, 10, 1, 2, 2, 2, 1, 2, 5, 10, 10, 12, 2, 4, 3, 3, 1, 3, 12, 2, 2, 1, 9, 3, 1, 1, 10, 3, 3, 1, 1, 2, 12, 1, 1, 10, 1, 4, 6, 6, 1, 1, 2, 3, 6, 14, 4, 3, 5, 1, 6, 1, 3, 2, 4, 1, 3, 2, 1, 3, 6, 1, 5, 3, 4, 1, 4, 3, 2, 1, 3, 4, 3, 4, 2, 1, 1, 2, 2, 3, 3, 2, 1, 4, 12, 3, 2, 3, 5, 3, 2, 7, 5, 6, 2, 8, 1, 2, 1, 3, 6, 2, 3, 10, 4, 2, 2, 1, 5, 1, 2, 14, 4, 1, 1, 5, 6, 8, 2, 1, 10, 2, 1, 2, 4, 2, 2, 4, 3, 1, 4, 4, 4, 1, 2, 5, 3, 8, 5, 3, 3, 8, 5, 12, 3, 1, 6, 2, 7, 3, 2, 1, 5, 9, 2, 4, 5, 5, 1, 6, 2, 2, 1, 1, 1, 5, 2, 6, 4, 4, 2, 4, 5, 2, 1, 4, 2, 3, 3, 5, 2, 1, 2, 5, 4, 1, 1, 2, 9, 8, 2, 4, 3, 5, 7, 1, 7, 4, 1, 1, 2, 2, 9, 11, 2, 11, 5, 3, 1, 1, 2, 23, 3, 2, 8, 7, 1, 8, 1, 5, 4, 4, 2, 5, 1, 1, 2, 5, 1, 5, 3, 2, 1, 2, 2, 1, 5, 3, 4, 3, 3, 8, 3, 2, 1, 4, 2, 1, 2, 9, 2, 2, 2, 2, 1, 1, 3, 5, 9, 14, 1, 1, 1, 2, 4, 3, 2, 1, 6, 2, 5, 2, 2, 2, 1, 1, 2, 1, 4, 5, 3, 3, 2, 5, 2, 1, 11, 1, 6, 3, 2, 2, 4, 1, 2, 7, 4, 9, 3, 15, 5, 5, 4, 4, 3, 3, 1, 2, 1, 1, 1, 7, 7, 2, 4, 6, 1, 6, 1, 2, 1, 2, 7, 2, 8, 2, 1, 6, 1, 4, 1, 2, 3, 2, 2, 4, 5, 6, 3, 5, 18, 1, 3, 3, 1, 4, 1, 2, 3, 3, 2, 2, 1, 16, 2, 8, 2, 2, 2, 4, 3, 4, 3, 4, 1, 3, 3, 1, 4, 2, 1, 3, 1, 1, 2, 1, 4, 1, 1, 1, 3, 9, 1, 11, 2, 1, 1, 2, 2, 5, 6, 1, 6, 2, 1, 8, 10, 8, 12, 3, 3, 1, 9, 13, 1, 1, 2, 16, 1, 2, 3, 1, 2, 2, 5, 7, 1, 1, 3, 4, 2, 6, 1, 2, 2, 1, 9, 8, 2, 25, 2, 3, 1, 1, 1, 25, 8, 1, 3, 5, 11, 2, 2, 6, 3, 3, 1, 2, 6, 3, 2, 1, 6, 4, 9, 7, 4, 5, 4, 2, 4, 7, 6, 6, 1, 3, 1, 4, 5, 2, 1, 1, 4, 2, 1, 3, 1, 1, 6, 2, 1, 5, 4, 3, 1, 1, 1, 4, 1, 1, 7, 3, 2, 4, 2, 5, 2, 2, 5, 4, 2, 8, 7, 1, 5, 3, 1, 8, 1, 2, 11, 1, 4, 3, 9, 1, 2, 7, 2, 10, 1, 9, 1, 2, 4, 5, 2, 3, 2, 2, 7, 2, 7, 13, 5, 1, 5, 3, 1, 1, 17, 3, 3, 2, 12, 1, 6, 2, 1, 15, 4, 1, 1, 2, 5, 21, 4, 1, 15, 5, 2, 1, 1, 1, 2, 1, 2, 1, 1, 3, 2, 2, 7, 2, 2, 3, 5, 2, 1, 1, 1, 1, 3, 3, 2, 6, 7, 9, 3, 1, 7, 7, 1, 4, 8, 1, 3, 4, 4, 15, 19, 3, 3, 2, 9, 2, 1, 3, 1, 3, 11, 2, 4, 7, 1, 7, 2, 1, 8, 7, 4, 4, 3, 2, 1, 4, 4, 3, 3, 5, 1, 3, 3, 2, 1, 2, 4, 2, 4, 7, 2, 5, 4, 10, 6, 1, 2, 4, 4, 7, 1, 3, 4, 10, 2, 1, 1, 7, 2, 5, 1, 4, 1, 11, 1, 6, 1, 1, 3, 2, 3, 6, 8, 2, 4, 1, 3, 8, 2, 10, 1, 2, 2, 6, 4, 2, 9, 5, 5, 1, 5, 2, 8, 1, 8, 10, 2, 4, 5, 1, 2, 3, 1, 4, 4, 6, 3, 2, 16, 1, 3, 4, 3, 2, 2, 1, 3, 2, 3, 3, 1, 4, 1, 1, 3, 2, 5, 1, 1, 3, 2, 5, 7, 1, 3, 7, 6, 4, 6, 7, 4, 5, 4, 3, 1, 9, 6, 5, 3, 2, 6, 6, 5, 2, 7, 4, 1, 7, 5, 1, 4, 6, 4, 1, 1, 2, 1, 1, 2, 1, 5, 1, 8, 27, 5, 1, 12, 1, 1, 2, 2, 4, 3, 15, 13, 9, 6, 4, 7, 2, 1, 12, 1, 3, 15, 1, 4, 5, 8, 11, 5, 6, 4, 3, 5, 22, 7, 8, 3, 2, 1, 5, 2, 1, 1, 4, 9, 3, 6, 1, 5, 9, 2, 2, 2, 8, 3, 1, 6, 8, 1, 7, 1, 3, 8, 3, 7, 8, 3, 18, 1, 7, 3, 1, 11, 3, 2, 6, 7, 3, 3, 4, 4, 7, 1, 5, 1, 11, 8, 10, 7, 6, 7, 4, 9, 1, 2, 15, 2, 2, 7, 27, 4, 2, 2, 4, 2, 1, 8, 1, 8, 3, 3, 3, 2, 1, 8, 2, 1, 2, 2, 2, 3, 4, 1, 16, 4, 9, 3, 6, 4, 5, 5, 1, 5, 1, 4, 3, 1, 3, 1, 6, 3, 7, 5, 4, 2, 1, 4, 2, 1, 2, 1, 2, 1, 3, 3, 1, 4, 3, 6, 1, 2, 2, 6, 7, 5, 3, 1, 14, 9, 5, 1, 15, 3, 2, 1, 8, 1, 3, 3, 2, 3, 1, 6, 6, 4, 3, 6, 2, 2, 3, 2, 2, 3, 3, 2, 5, 2, 1, 1, 6, 6, 3, 5, 3, 8, 1, 4, 1, 3, 6, 1, 9, 6, 1, 9, 9, 1, 3, 19, 5, 2, 2, 10, 5, 3, 3, 1, 5, 1, 8, 2, 1, 1, 1, 6, 15, 9, 1, 1, 6, 17, 1, 3, 4, 4, 1, 2, 1, 2, 5, 2, 5, 2, 5, 9, 2, 9, 5, 2, 5, 1, 3, 6, 2, 2, 6, 7, 1, 14, 4, 1, 3, 3, 2, 4, 1, 5, 1, 2, 4, 3, 2, 4, 1, 7, 2, 6, 1, 2, 1, 11, 2, 7, 3, 1, 7, 2, 2, 1, 5, 7, 3, 4, 1, 9, 5, 1, 1, 2, 2, 2, 3, 4, 3, 2, 10, 5, 5, 1, 1, 3, 3, 7, 2, 2, 1, 2, 5, 2, 1, 1, 1, 5, 6, 5, 2, 2, 5, 3, 1, 6, 2, 2, 5, 2, 1, 1, 8, 5, 3, 5, 16, 4, 3, 5, 1, 2, 1, 1, 2, 2, 3, 7, 1, 2, 4, 3, 5, 1, 3, 8, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 4, 1, 1, 1, 6, 4, 8, 14, 2, 8, 1, 2, 3, 3, 3, 6, 3, 1, 5, 2, 7, 7, 5, 1, 4, 3, 2, 1, 2, 5, 9, 2, 3, 3, 1, 2, 2, 5, 8, 2, 12, 1, 13, 3, 9, 2, 3, 4, 2, 2, 3, 1, 1, 10, 1, 1, 4, 8, 1, 4, 3, 4, 6, 6, 2, 2, 4, 7, 9, 4, 5, 5, 1, 2, 2, 6, 1, 10, 3, 2, 2, 4, 3, 17, 1, 14, 1, 1, 1, 4, 7, 6, 2, 10, 1, 2, 13, 1, 2, 2, 3, 3, 15, 1, 3, 11, 3, 1, 1, 2, 3, 2, 2, 1, 3, 7, 6, 2, 8, 3, 2, 2, 5, 2, 5, 2, 4, 6, 4, 8, 11, 5, 1, 1, 1, 5, 5, 1, 6, 1, 2, 17, 2, 9, 4, 2, 1, 4, 1, 5, 1, 4, 7, 1, 2, 5, 14, 7, 3, 2, 5, 9, 4, 3, 2, 4, 6, 2, 1, 2, 5, 7, 6, 9, 6, 1, 7, 1, 8, 5, 3, 6, 1, 3, 7, 4, 8, 3, 2, 3, 1, 3, 2, 5, 4, 3, 1, 5, 6, 5, 3, 1, 3, 4, 7, 2, 2, 1, 2, 6, 3, 6, 3, 2, 2, 3, 3, 9, 5, 1, 4, 1, 12, 4, 4, 3, 8, 2, 5, 1, 5, 1, 1, 2, 1, 7, 5, 6, 3, 5, 1, 3, 2, 5, 1, 9, 3, 2, 5, 6, 1, 4, 3, 4, 4, 6, 21, 3, 1, 13, 3, 3, 7, 9, 6, 2, 4, 4, 2, 1, 3, 1, 4, 1, 4, 5, 3, 1, 5, 9, 4, 5, 5, 3, 9, 2, 1, 1, 2, 3, 1, 6, 7, 2, 2, 1, 1, 10, 1, 5, 2, 3, 10, 4, 4, 1, 2, 17, 1, 2, 4, 1, 7, 2, 1, 1, 1, 4, 1, 1, 3, 3, 1, 10, 6, 2, 9, 2, 7, 8, 3, 6, 4, 10, 4, 2, 2, 2, 16, 11, 2, 4, 21, 2, 1, 2, 2, 5, 1, 4, 1, 1, 2, 2, 7, 1, 5, 1, 3, 3, 2, 3, 2, 1, 6, 4, 2, 6, 3, 19, 4, 6, 3, 6, 3, 1, 16, 5, 4, 2, 3, 5, 1, 3, 3, 3, 2, 4, 1, 1, 2, 17, 4, 6, 4, 1, 1, 4, 3, 1, 5, 1, 2, 3, 9, 13, 3, 2, 2, 2, 2, 1, 2, 1, 6, 3, 3, 2, 1, 4, 3, 2, 5, 2, 4, 1, 5, 1, 7, 2, 1, 1, 1, 6, 4, 5, 11, 7, 2, 4, 8, 2, 1, 3, 1, 1, 4, 6, 1, 1, 2, 2, 1, 9, 2, 1, 6, 8, 2, 1, 3, 9, 1, 1, 2, 3, 1, 3, 1, 9, 5, 6, 5, 2, 1, 2, 2, 3, 10, 1, 2, 2, 5, 9, 2, 2, 8, 5, 1, 1, 3, 2, 4, 4, 4, 2, 1, 6, 2, 2, 2, 4, 9, 2, 3, 6, 1, 3, 10, 5, 7, 8, 8, 3, 1, 2, 2, 6, 1, 11, 2, 1, 2, 3, 1, 4, 1, 7, 2, 12, 5, 3, 5, 1, 3, 6, 6, 6, 4, 4, 4, 4, 4, 2, 3, 3, 7, 3, 5, 5, 1, 1, 9, 5, 7, 8, 1, 2, 26, 1, 1, 2, 7, 6, 8, 1, 1, 2, 5, 2, 5, 1, 3, 1, 1, 7, 14, 2, 1, 6, 2, 2, 1, 7, 7, 4, 2, 8, 2, 2, 4, 4, 3, 2, 1, 17, 8, 1, 4, 2, 1, 1, 5, 2, 1, 2, 5, 3, 5, 7, 1, 1, 3, 7, 5, 7, 1, 2, 6, 4, 8, 9, 1, 3, 1, 3, 5, 6, 3, 1, 7, 1, 2, 6, 2, 5, 1, 4, 7, 2, 9, 1, 3, 5, 4, 5, 2, 2, 6, 1, 5, 5, 4, 3, 1, 4, 2, 12, 1, 4, 6, 1, 3, 7, 3, 4, 3, 1, 2, 6, 13, 2, 5, 4, 1, 5, 1, 2, 2, 3, 1, 4, 8, 5, 1, 1, 2, 2, 8, 15, 2, 4, 1, 7, 2, 3, 3, 1, 1, 1, 1, 2, 1, 5, 3, 7, 2, 6, 1, 1, 6, 5, 1, 1, 1, 8, 1, 1, 3, 1, 10, 4, 6, 1, 8, 1, 6, 2, 2, 1, 13, 6, 2, 7, 3, 5, 5, 1, 6, 8, 4, 3, 4, 6, 8, 3, 6, 4, 5, 5, 2, 1, 1, 2, 12, 3, 1, 2, 2, 3, 2, 1, 6, 6, 2, 1, 2, 2, 9, 2, 3, 4, 3, 15, 1, 1, 2, 2, 4, 2, 1, 1, 5, 3, 4, 6, 2, 14, 8, 5, 6, 4, 1, 8, 1, 3, 1, 4, 1, 1, 1, 3, 8, 4, 3, 3, 3, 9, 1, 8, 2, 4, 2, 9, 11, 9, 2, 1, 3, 4, 1, 6, 1, 1, 4, 1, 3, 4, 1, 3, 6, 5, 6, 1, 10, 23, 19, 1, 1, 2, 5, 1, 1, 5, 1, 3, 3, 3, 1, 1, 3, 4, 5, 10, 1, 10, 2, 1, 1, 3, 6, 3, 2, 2, 5, 3, 2, 8, 1, 9, 5, 1, 2, 5, 5, 1, 13, 6, 7, 3, 15, 2, 3, 10, 1, 3, 6, 6, 3, 11, 9, 1, 1, 1, 7, 1, 4, 7, 4, 1, 1, 7, 8, 2, 2, 2, 3, 7, 3, 4, 1, 2, 4, 1, 4, 6, 5, 2, 4, 1, 1, 2, 1, 1, 1, 4, 8, 2, 6, 3, 4, 5, 6, 1, 2, 2, 1, 2, 10, 2, 3, 9, 1, 1, 7, 3, 1, 3, 1, 1, 1, 2, 2, 11, 3, 1, 1, 1, 1, 1, 4, 10, 2, 5, 5, 2, 2, 3, 6, 3, 2, 2, 19, 8, 3, 4, 3, 4, 13, 2, 2, 2, 2, 2, 5, 7, 1, 1, 1, 2, 4, 2, 10, 5, 2, 10, 16, 1, 5, 6, 3, 4, 2, 5, 8, 1, 4, 2, 2, 1, 12, 2, 5, 1, 4, 3, 4, 1, 5, 9, 4, 1, 3, 2, 9, 1, 1, 1, 4, 1, 7, 1, 1, 3, 1, 9, 4, 1, 2, 1, 5, 3, 1, 3, 4, 4, 1, 6, 1, 2, 4, 1, 2, 1, 1, 9, 2, 7, 6, 1, 1, 1, 3, 2, 5, 8, 2, 4, 2, 6, 1, 4, 1, 3, 1, 3, 6, 4, 2, 2, 1, 3, 11, 9, 5, 7, 1, 10, 1, 4, 1, 1, 1, 6, 2, 3, 3, 13, 6, 6, 15, 3, 5, 1, 15, 7, 13, 6, 8, 2, 3, 1, 1, 4, 1, 6, 2, 4, 7, 7, 6, 1, 6]