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
5,990
24,304,061 combos · 35.8% of 16,754
Sistem: 1/1 2/2 3/3 4/4 5/5 ⓘ Mod auto-selectat: predict
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 #75 = {76} random

Descriptive

Apariții
4207
Mean ± std
3.98 ± 3.4
CV (std/mean)
0.853
Min/Max gap
1 / 30
Last seen
16750 (gap actual: 4)

Percentile gap-uri

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

Streaks & Pattern

Hot streak (consecutive)
7
Cold streak (max absență)
30
Autocorrelation lag-1
0.007
Drift (h2-h1)
-0.07
Best period T
T=19 (entropy=0.001)

Overdue Status

Current gap
4
vs mean (z-score)
0.01 σ
vs P95
0.36x

Statistical Test (Chi-square)

chi²
458.01
df
3
p-value
0 NON-RANDOM α=0.05

Backtest 70/30

Train / Test
2944 / 1263 apariții
Mean train
4.01
MAE
2.41
Accuracy
39.8%
Erori per pred
[0,1,3,1,7,3,3,1,2,16,3,2,5,2,2,3,3,3,2,1,3,3,1,3,4,2,3,3,4,16,3,1,3,1,2,1,1,0,6,0,2,3,1,0,2,3,3,1,2,6,0,3,1,0,3,1,1,2,7,3,1,3,5,1,2,3,1,2,3,3,1,0,2,3,4,1,3,4,3,2,1,1,2,3,3,3,4,3,0,2,2,0,1,1,2,17,1,0,2,1,3,7,3,7,2,2,8,1,3,1,3,0,3,3,4,1,3,3,6,3,3,2,2,2,0,2,2,1,2,1,7,0,4,3,1,1,2,9,5,2,5,3,1,3,2,2,1,2,0,1,2,13,9,3,3,3,3,2,3,5,1,3,2,0,3,1,2,2,2,2,2,2,3,0,0,2,3,0,0,3,3,1,3,3,3,1,3,2,0,3,9,2,2,5,1,3,1,3,3,1,4,3,1,2,2,3,2,4,0,1,0,3,3,2,1,3,1,2,3,3,3,3,1,1,2,0,1,0,1,1,6,8,7,1,0,9,11,2,1,3,2,3,3,3,2,13,2,0,2,1,2,1,1,1,1,2,1,1,2,4,0,5,3,1,3,2,1,3,0,2,0,0,0,3,3,1,1,3,3,2,2,3,3,2,0,1,1,3,1,2,3,1,3,1,2,1,2,3,3,3,4,8,3,4,3,2,2,2,2,1,1,1,2,1,0,3,1,14,1,2,2,3,2,2,1,2,1,1,2,1,1,6,2,13,2,2,3,3,2,1,3,3,3,3,2,1,3,2,6,6,2,3,1,0,0,1,1,3,3,0,3,1,2,2,1,3,3,3,4,2,2,1,3,2,4,2,1,6,1,2,3,0,3,0,3,1,3,3,1,4,0,3,3,1,1,3,2,2,1,2,1,2,1,0,3,2,1,0,0,4,2,3,3,2,1,3,3,2,3,1,0,6,0,3,1,3,1,8,1,21,3,3,2,3,2,3,2,1,2,0,1,1,1,4,1,3,0,5,3,2,1,3,10,1,3,1,3,2,2,8,3,6,0,1,0,3,9,3,2,3,1,6,3,1,2,1,3,2,1,3,1,2,1,2,1,3,4,2,2,3,3,2,0,6,2,3,1,1,5,0,11,1,0,3,1,4,0,2,3,0,2,8,3,3,2,1,0,2,3,5,6,3,2,4,0,3,1,2,1,3,3,1,2,3,1,1,0,0,2,2,14,1,0,3,3,0,3,0,2,7,2,3,3,2,1,3,3,0,3,0,2,0,2,1,2,1,2,2,1,2,0,3,4,1,0,1,1,1,0,2,10,3,2,1,0,1,3,3,1,3,0,2,2,2,2,2,10,3,1,1,1,3,3,3,2,2,1,3,1,1,3,3,3,2,3,1,2,2,0,1,1,3,3,1,8,8,1,3,8,2,3,1,3,1,3,3,3,2,7,2,3,2,2,3,2,6,1,5,5,2,2,2,2,3,2,3,7,6,3,3,1,2,2,3,2,0,1,3,3,2,0,3,0,0,1,3,1,6,1,1,3,1,1,2,3,4,2,0,3,0,5,4,5,3,3,1,3,3,3,4,0,1,3,7,0,3,1,1,3,1,2,0,5,1,0,11,3,1,2,1,1,3,2,2,3,1,0,0,3,0,3,3,0,1,1,3,4,3,0,0,4,6,3,1,2,0,3,2,0,3,0,1,1,2,0,3,1,2,2,3,4,3,5,3,1,2,2,1,3,4,0,2,3,1,0,3,2,1,4,2,6,0,2,1,2,1,2,3,2,2,2,3,2,4,1,1,3,2,4,2,9,17,2,3,9,2,3,0,1,8,0,2,1,8,0,2,8,3,2,2,0,1,2,2,3,0,1,3,4,0,1,2,1,3,4,0,6,2,3,0,2,3,1,1,1,1,3,3,1,1,1,3,1,3,1,2,3,3,1,3,1,3,3,1,2,3,1,1,2,3,3,3,3,2,9,1,4,3,1,3,2,1,2,0,3,3,2,3,2,2,3,2,5,0,1,3,4,4,2,2,2,3,1,3,2,3,3,2,1,3,2,14,3,3,2,10,1,2,2,2,2,2,1,0,0,2,0,0,1,0,2,1,3,3,2,1,2,1,0,0,2,3,2,3,2,3,2,1,2,3,2,3,3,3,5,3,1,0,3,2,2,3,6,3,2,1,1,2,2,1,2,5,1,3,3,3,3,2,5,3,3,4,1,1,4,3,0,3,2,1,0,1,2,3,0,2,1,1,3,1,3,3,2,2,2,3,3,3,1,3,3,3,2,4,0,3,1,1,1,8,1,1,3,2,0,3,1,4,2,3,2,5,2,3,0,3,0,2,2,1,3,2,3,0,1,6,1,2,7,11,2,2,3,4,2,1,2,3,5,5,0,3,0,3,3,2,2,3,2,2,2,11,0,1,10,2,8,1,5,3,12,5,3,1,0,0,3,1,2,2,0,1,1,1,3,1,1,1,3,1,6,0,0,2,3,5,0,3,2,1,0,2,3,2,2,0,3,1,1,2,6,4,6,2,0,3,6,3,2,2,3,1,3,3,1,0,3,2,0,2,7,3,0,3,1,1,0,3,0,3,3,2,2,2,3,6,2,0,3,1,0,1,3,1,1,3,2,9,1,2,2,1,3,3,0,1,2,3,2,8,2,1,8,1,1,1,2,3,2,2,3,4,1,2,1,9,3,0,2,0,3,2,3,2,1,0,3,1,3,1,5,1,2,1,1,3,4,1,2,3,3,2,2,1,0,2,1,2,1,1,1,1,3,2,1,3,8,0,1,0,3,3,5,1,2,3,2,2,2,2,2,2,2,1,2,1,2,3,3,4,0,3,2]

🏆 Confidence Score

Persistence (0.20)
1
Regularity (0.25)
0.574
Period support (0.20)
0.001
Chi2 evidence (0.15)
1
Backtest acc (0.20)
0.398
Total: 57.3%

🎯 Predicție următoarea apariție

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

Timeline apariții — densitate per perioadă

Extrageri 1-83: 11 apariții Extrageri 84-167: 16 apariții Extrageri 168-251: 21 apariții Extrageri 252-335: 19 apariții Extrageri 336-418: 20 apariții Extrageri 419-502: 19 apariții Extrageri 503-586: 16 apariții Extrageri 587-670: 25 apariții Extrageri 671-753: 23 apariții Extrageri 754-837: 20 apariții Extrageri 838-921: 23 apariții Extrageri 922-1005: 22 apariții Extrageri 1006-1089: 21 apariții Extrageri 1090-1172: 19 apariții Extrageri 1173-1256: 24 apariții Extrageri 1257-1340: 22 apariții Extrageri 1341-1424: 19 apariții Extrageri 1425-1507: 22 apariții Extrageri 1508-1591: 15 apariții Extrageri 1592-1675: 19 apariții Extrageri 1676-1759: 21 apariții Extrageri 1760-1842: 15 apariții Extrageri 1843-1926: 23 apariții Extrageri 1927-2010: 23 apariții Extrageri 2011-2094: 20 apariții Extrageri 2095-2178: 16 apariții Extrageri 2179-2261: 18 apariții Extrageri 2262-2345: 26 apariții Extrageri 2346-2429: 23 apariții Extrageri 2430-2513: 20 apariții Extrageri 2514-2596: 22 apariții Extrageri 2597-2680: 19 apariții Extrageri 2681-2764: 24 apariții Extrageri 2765-2848: 24 apariții Extrageri 2849-2931: 16 apariții Extrageri 2932-3015: 25 apariții Extrageri 3016-3099: 17 apariții Extrageri 3100-3183: 17 apariții Extrageri 3184-3267: 26 apariții Extrageri 3268-3350: 25 apariții Extrageri 3351-3434: 20 apariții Extrageri 3435-3518: 23 apariții Extrageri 3519-3602: 19 apariții Extrageri 3603-3685: 19 apariții Extrageri 3686-3769: 23 apariții Extrageri 3770-3853: 18 apariții Extrageri 3854-3937: 25 apariții Extrageri 3938-4020: 21 apariții Extrageri 4021-4104: 20 apariții Extrageri 4105-4188: 23 apariții Extrageri 4189-4272: 17 apariții Extrageri 4273-4356: 23 apariții Extrageri 4357-4439: 20 apariții Extrageri 4440-4523: 21 apariții Extrageri 4524-4607: 17 apariții Extrageri 4608-4691: 27 apariții Extrageri 4692-4774: 25 apariții Extrageri 4775-4858: 21 apariții Extrageri 4859-4942: 20 apariții Extrageri 4943-5026: 21 apariții Extrageri 5027-5109: 23 apariții Extrageri 5110-5193: 27 apariții Extrageri 5194-5277: 20 apariții Extrageri 5278-5361: 25 apariții Extrageri 5362-5445: 20 apariții Extrageri 5446-5528: 20 apariții Extrageri 5529-5612: 20 apariții Extrageri 5613-5696: 27 apariții Extrageri 5697-5780: 13 apariții Extrageri 5781-5863: 15 apariții Extrageri 5864-5947: 14 apariții Extrageri 5948-6031: 21 apariții Extrageri 6032-6115: 22 apariții Extrageri 6116-6198: 13 apariții Extrageri 6199-6282: 25 apariții Extrageri 6283-6366: 21 apariții Extrageri 6367-6450: 31 apariții Extrageri 6451-6534: 17 apariții Extrageri 6535-6617: 15 apariții Extrageri 6618-6701: 28 apariții Extrageri 6702-6785: 16 apariții Extrageri 6786-6869: 18 apariții Extrageri 6870-6952: 27 apariții Extrageri 6953-7036: 25 apariții Extrageri 7037-7120: 21 apariții Extrageri 7121-7204: 16 apariții Extrageri 7205-7287: 23 apariții Extrageri 7288-7371: 13 apariții Extrageri 7372-7455: 26 apariții Extrageri 7456-7539: 17 apariții Extrageri 7540-7623: 21 apariții Extrageri 7624-7706: 22 apariții Extrageri 7707-7790: 19 apariții Extrageri 7791-7874: 28 apariții Extrageri 7875-7958: 23 apariții Extrageri 7959-8041: 23 apariții Extrageri 8042-8125: 25 apariții Extrageri 8126-8209: 21 apariții Extrageri 8210-8293: 24 apariții Extrageri 8294-8377: 25 apariții Extrageri 8378-8460: 19 apariții Extrageri 8461-8544: 19 apariții Extrageri 8545-8628: 25 apariții Extrageri 8629-8712: 28 apariții Extrageri 8713-8795: 23 apariții Extrageri 8796-8879: 14 apariții Extrageri 8880-8963: 18 apariții Extrageri 8964-9047: 24 apariții Extrageri 9048-9130: 24 apariții Extrageri 9131-9214: 18 apariții Extrageri 9215-9298: 23 apariții Extrageri 9299-9382: 25 apariții Extrageri 9383-9466: 20 apariții Extrageri 9467-9549: 20 apariții Extrageri 9550-9633: 21 apariții Extrageri 9634-9717: 17 apariții Extrageri 9718-9801: 19 apariții Extrageri 9802-9884: 26 apariții Extrageri 9885-9968: 24 apariții Extrageri 9969-10052: 20 apariții Extrageri 10053-10136: 19 apariții Extrageri 10137-10219: 20 apariții Extrageri 10220-10303: 24 apariții Extrageri 10304-10387: 21 apariții Extrageri 10388-10471: 22 apariții Extrageri 10472-10555: 23 apariții Extrageri 10556-10638: 16 apariții Extrageri 10639-10722: 28 apariții Extrageri 10723-10806: 18 apariții Extrageri 10807-10890: 23 apariții Extrageri 10891-10973: 24 apariții Extrageri 10974-11057: 19 apariții Extrageri 11058-11141: 17 apariții Extrageri 11142-11225: 25 apariții Extrageri 11226-11308: 21 apariții Extrageri 11309-11392: 16 apariții Extrageri 11393-11476: 13 apariții Extrageri 11477-11560: 22 apariții Extrageri 11561-11644: 19 apariții Extrageri 11645-11727: 22 apariții Extrageri 11728-11811: 20 apariții Extrageri 11812-11895: 22 apariții Extrageri 11896-11979: 20 apariții Extrageri 11980-12062: 20 apariții Extrageri 12063-12146: 26 apariții Extrageri 12147-12230: 14 apariții Extrageri 12231-12314: 25 apariții Extrageri 12315-12397: 19 apariții Extrageri 12398-12481: 17 apariții Extrageri 12482-12565: 26 apariții Extrageri 12566-12649: 25 apariții Extrageri 12650-12733: 17 apariții Extrageri 12734-12816: 18 apariții Extrageri 12817-12900: 26 apariții Extrageri 12901-12984: 27 apariții Extrageri 12985-13068: 21 apariții Extrageri 13069-13151: 16 apariții Extrageri 13152-13235: 21 apariții Extrageri 13236-13319: 25 apariții Extrageri 13320-13403: 23 apariții Extrageri 13404-13486: 17 apariții Extrageri 13487-13570: 21 apariții Extrageri 13571-13654: 19 apariții Extrageri 13655-13738: 24 apariții Extrageri 13739-13822: 18 apariții Extrageri 13823-13905: 21 apariții Extrageri 13906-13989: 19 apariții Extrageri 13990-14073: 26 apariții Extrageri 14074-14157: 21 apariții Extrageri 14158-14240: 26 apariții Extrageri 14241-14324: 21 apariții Extrageri 14325-14408: 20 apariții Extrageri 14409-14492: 21 apariții Extrageri 14493-14575: 20 apariții Extrageri 14576-14659: 23 apariții Extrageri 14660-14743: 21 apariții Extrageri 14744-14827: 25 apariții Extrageri 14828-14911: 20 apariții Extrageri 14912-14994: 14 apariții Extrageri 14995-15078: 21 apariții Extrageri 15079-15162: 25 apariții Extrageri 15163-15246: 28 apariții Extrageri 15247-15329: 28 apariții Extrageri 15330-15413: 18 apariții Extrageri 15414-15497: 26 apariții Extrageri 15498-15581: 19 apariții Extrageri 15582-15664: 24 apariții Extrageri 15665-15748: 25 apariții Extrageri 15749-15832: 23 apariții Extrageri 15833-15916: 13 apariții Extrageri 15917-16000: 18 apariții Extrageri 16001-16083: 17 apariții Extrageri 16084-16167: 17 apariții Extrageri 16168-16251: 24 apariții Extrageri 16252-16335: 21 apariții Extrageri 16336-16418: 23 apariții Extrageri 16419-16502: 17 apariții Extrageri 16503-16586: 20 apariții Extrageri 16587-16670: 23 apariții Extrageri 16671-16754: 24 apariții 0 4189 8377 12566 16754 mean=21/bin max=31 apariții/bin
Histogram: fiecare bară = un interval de 84 extrageri. Înălțime = nr apariții în acel interval. Galben deschis → portocaliu = mai multe apariții. Linie albastră întreruptă = densitatea medie (21 apariții/bin).
Combinația are 4,207 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):
[1, 14, 15, 17, 26, 54, 57, 58, 75, 77, 84, 92, 95, 98, 100, 102, 105, 107, 108, 109, 113, 114, 115, 123, 136, 139, 140, 170, 172, 177, 178, 182, 183, 186, 187, 188, 189, 198, 206, 211, 212, 213, 227, 229, 238, 239, 240, 251, 258, 260, 261, 268, 272, 274, 275, 278, 286, 289, 290, 296, 305, 312, 323, 328, 333, 334, 336, 338, 339, 349, 353, 372, 373, 376, 379, 382, 388, 392, 398, 399, 400, 401, 404, 407, 413, 416, 418, 420, 430, 441, 445, 447, 455, 462, 468, 469, 470, 473, 475, 476, 477, 487, 490, 494, 502, 503, 506, 510, 511, 523, 528, 530, 539, 542, 549, 550, 562, 578, 579, 581, 582, 587, 588, 590, 591, 593, 599, 600, 603, 609, 610, 611, 612, 615, 623, 624, 631, 650, 653, 655, 656, 657, 660, 665, 666, 669, 671, 675, 676, 682, 683, 685, 690, 696, 699, 704, 707, 708, 714, 715, 717, 722, 724, 733, 737, 740, 741, 744, 747, 754, 759, 760, 762, 768, 774, 776, 777, 780, 782, 785, 795, 797, 799, 808, 809, 813, 814, 820, 826, 837, 847, 848, 852, 854, 855, 856, 858, 865, 871, 872, 878, 882, 883, 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2292, 2294, 2297, 2298, 2302, 2305, 2306, 2309, 2316, 2323, 2332, 2333, 2337, 2338, 2339, 2341, 2342, 2348, 2350, 2355, 2358, 2370, 2372, 2375, 2376, 2378, 2382, 2384, 2386, 2394, 2395, 2399, 2400, 2402, 2405, 2412, 2413, 2416, 2419, 2428, 2433, 2436, 2441, 2443, 2444, 2449, 2450, 2456, 2457, 2464, 2478, 2479, 2486, 2488, 2497, 2502, 2504, 2507, 2509, 2512, 2516, 2518, 2520, 2527, 2529, 2530, 2533, 2536, 2537, 2538, 2541, 2546, 2550, 2551, 2552, 2564, 2570, 2571, 2575, 2578, 2581, 2584, 2598, 2607, 2611, 2620, 2623, 2624, 2626, 2627, 2632, 2634, 2638, 2639, 2641, 2645, 2647, 2654, 2667, 2671, 2676, 2683, 2684, 2694, 2698, 2700, 2702, 2703, 2704, 2705, 2715, 2724, 2732, 2733, 2734, 2743, 2749, 2750, 2752, 2755, 2757, 2758, 2760, 2761, 2764, 2770, 2773, 2774, 2777, 2779, 2785, 2787, 2789, 2792, 2794, 2797, 2798, 2801, 2807, 2809, 2812, 2815, 2821, 2826, 2827, 2830, 2843, 2846, 2849, 2850, 2851, 2853, 2859, 2872, 2875, 2876, 2880, 2897, 2899, 2906, 2920, 2921, 2922, 2924, 2930, 2934, 2935, 2936, 2938, 2939, 2942, 2944, 2945, 2948, 2951, 2954, 2964, 2967, 2968, 2971, 2974, 2975, 2979, 2982, 2989, 2993, 2998, 3001, 3007, 3010, 3022, 3023, 3031, 3035, 3037, 3046, 3048, 3051, 3053, 3054, 3064, 3071, 3083, 3089, 3096, 3097, 3100, 3106, 3118, 3121, 3122, 3124, 3131, 3133, 3139, 3145, 3146, 3147, 3153, 3159, 3160, 3171, 3175, 3179, 3185, 3189, 3190, 3192, 3193, 3199, 3200, 3205, 3210, 3215, 3221, 3225, 3232, 3233, 3234, 3237, 3239, 3243, 3249, 3250, 3252, 3254, 3257, 3263, 3264, 3268, 3269, 3272, 3274, 3277, 3278, 3283, 3286, 3291, 3295, 3297, 3298, 3302, 3303, 3304, 3310, 3313, 3314, 3320, 3328, 3330, 3334, 3335, 3344, 3345, 3349, 3358, 3362, 3366, 3369, 3371, 3373, 3374, 3376, 3382, 3386, 3392, 3393, 3401, 3407, 3411, 3416, 3423, 3424, 3429, 3434, 3438, 3440, 3444, 3457, 3461, 3462, 3467, 3469, 3470, 3473, 3480, 3485, 3486, 3491, 3495, 3497, 3499, 3504, 3506, 3508, 3513, 3517, 3519, 3522, 3525, 3528, 3530, 3533, 3534, 3548, 3550, 3552, 3553, 3554, 3555, 3569, 3573, 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4246, 4247, 4248, 4272, 4273, 4282, 4283, 4285, 4287, 4289, 4292, 4295, 4296, 4298, 4302, 4303, 4305, 4306, 4307, 4309, 4316, 4321, 4334, 4335, 4340, 4344, 4351, 4357, 4361, 4365, 4368, 4369, 4371, 4377, 4378, 4380, 4383, 4390, 4391, 4393, 4398, 4402, 4405, 4411, 4430, 4434, 4438, 4440, 4443, 4455, 4468, 4469, 4470, 4475, 4476, 4478, 4482, 4487, 4494, 4498, 4503, 4505, 4507, 4510, 4512, 4514, 4519, 4522, 4524, 4527, 4532, 4538, 4541, 4544, 4545, 4547, 4549, 4555, 4566, 4575, 4591, 4595, 4596, 4597, 4601, 4608, 4610, 4614, 4615, 4621, 4622, 4624, 4625, 4628, 4635, 4637, 4638, 4645, 4654, 4657, 4658, 4662, 4665, 4667, 4668, 4672, 4677, 4681, 4685, 4686, 4687, 4688, 4689, 4693, 4694, 4702, 4708, 4710, 4712, 4713, 4716, 4717, 4719, 4726, 4728, 4731, 4733, 4739, 4744, 4745, 4757, 4761, 4762, 4764, 4766, 4769, 4772, 4773, 4779, 4781, 4783, 4785, 4791, 4792, 4796, 4802, 4804, 4808, 4811, 4815, 4821, 4822, 4826, 4836, 4837, 4839, 4843, 4846, 4858, 4861, 4863, 4869, 4873, 4875, 4883, 4884, 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5517, 5519, 5529, 5535, 5539, 5541, 5548, 5553, 5561, 5565, 5569, 5572, 5575, 5576, 5577, 5580, 5584, 5588, 5594, 5600, 5603, 5611, 5613, 5617, 5618, 5619, 5621, 5624, 5626, 5627, 5628, 5629, 5632, 5635, 5638, 5640, 5641, 5644, 5646, 5648, 5650, 5654, 5660, 5661, 5663, 5667, 5678, 5684, 5685, 5697, 5703, 5714, 5719, 5720, 5721, 5745, 5752, 5756, 5759, 5768, 5770, 5771, 5774, 5784, 5785, 5792, 5793, 5806, 5810, 5811, 5817, 5818, 5823, 5829, 5833, 5839, 5845, 5850, 5867, 5869, 5870, 5874, 5886, 5892, 5897, 5903, 5913, 5917, 5919, 5943, 5944, 5945, 5951, 5953, 5956, 5962, 5966, 5967, 5973, 5977, 5979, 5980, 5988, 6001, 6011, 6013, 6015, 6018, 6020, 6022, 6024, 6025, 6030, 6036, 6041, 6043, 6045, 6048, 6053, 6056, 6058, 6060, 6063, 6064, 6065, 6067, 6075, 6090, 6094, 6096, 6097, 6103, 6104, 6106, 6114, 6123, 6125, 6127, 6142, 6149, 6156, 6159, 6169, 6171, 6176, 6182, 6193, 6195, 6214, 6216, 6219, 6221, 6222, 6226, 6229, 6230, 6232, 6239, 6242, 6243, 6244, 6247, 6249, 6253, 6254, 6263, 6266, 6273, 6275, 6276, 6280, 6281, 6282, 6284, 6290, 6291, 6293, 6296, 6300, 6306, 6314, 6318, 6319, 6321, 6322, 6328, 6330, 6331, 6335, 6340, 6344, 6351, 6352, 6359, 6369, 6372, 6375, 6377, 6378, 6380, 6381, 6392, 6394, 6398, 6401, 6404, 6406, 6407, 6410, 6412, 6416, 6417, 6421, 6423, 6432, 6436, 6438, 6440, 6441, 6442, 6443, 6444, 6445, 6446, 6449, 6463, 6476, 6477, 6483, 6487, 6490, 6491, 6492, 6495, 6497, 6500, 6503, 6504, 6516, 6518, 6523, 6528, 6538, 6542, 6544, 6555, 6560, 6564, 6568, 6569, 6571, 6575, 6581, 6590, 6596, 6601, 6617, 6620, 6621, 6633, 6634, 6638, 6640, 6641, 6645, 6646, 6648, 6652, 6656, 6659, 6660, 6664, 6665, 6667, 6668, 6670, 6671, 6672, 6680, 6682, 6683, 6684, 6687, 6690, 6698, 6703, 6706, 6707, 6711, 6725, 6730, 6732, 6739, 6747, 6750, 6759, 6765, 6777, 6780, 6785, 6786, 6789, 6790, 6797, 6806, 6813, 6819, 6820, 6821, 6824, 6825, 6832, 6844, 6845, 6846, 6853, 6854, 6855, 6866, 6878, 6882, 6887, 6889, 6890, 6897, 6899, 6901, 6908, 6910, 6914, 6915, 6918, 6919, 6921, 6923, 6925, 6929, 6931, 6932, 6939, 6940, 6943, 6947, 6948, 6949, 6951, 6955, 6957, 6960, 6961, 6962, 6965, 6970, 6973, 6974, 6978, 6984, 6989, 6992, 6994, 6995, 6997, 7007, 7011, 7013, 7014, 7025, 7028, 7030, 7034, 7037, 7049, 7050, 7052, 7053, 7056, 7057, 7059, 7067, 7068, 7071, 7072, 7074, 7076, 7079, 7085, 7088, 7093, 7096, 7097, 7109, 7113, 7122, 7123, 7130, 7137, 7144, 7150, 7152, 7158, 7164, 7175, 7178, 7185, 7191, 7196, 7197, 7199, 7206, 7207, 7211, 7217, 7224, 7229, 7230, 7232, 7236, 7238, 7239, 7241, 7245, 7247, 7248, 7250, 7251, 7255, 7256, 7257, 7267, 7282, 7283, 7300, 7301, 7317, 7319, 7323, 7325, 7328, 7337, 7345, 7349, 7352, 7363, 7365, 7373, 7376, 7377, 7379, 7383, 7385, 7387, 7394, 7400, 7404, 7406, 7407, 7410, 7415, 7418, 7419, 7421, 7423, 7439, 7443, 7444, 7447, 7449, 7451, 7453, 7455, 7457, 7460, 7463, 7465, 7472, 7477, 7487, 7494, 7495, 7500, 7501, 7503, 7509, 7513, 7536, 7537, 7539, 7541, 7544, 7546, 7548, 7558, 7563, 7566, 7569, 7570, 7579, 7582, 7590, 7599, 7602, 7604, 7606, 7611, 7614, 7616, 7618, 7619, 7627, 7631, 7634, 7636, 7637, 7638, 7640, 7643, 7651, 7654, 7656, 7659, 7664, 7675, 7677, 7679, 7680, 7681, 7682, 7687, 7698, 7702, 7710, 7712, 7724, 7726, 7727, 7732, 7736, 7743, 7744, 7745, 7756, 7757, 7758, 7767, 7769, 7772, 7775, 7780, 7785, 7795, 7796, 7799, 7800, 7802, 7803, 7806, 7812, 7814, 7819, 7822, 7824, 7826, 7833, 7836, 7837, 7841, 7842, 7850, 7851, 7856, 7862, 7864, 7866, 7869, 7873, 7874, 7875, 7876, 7880, 7892, 7894, 7906, 7910, 7912, 7914, 7921, 7923, 7925, 7926, 7927, 7928, 7929, 7931, 7934, 7943, 7945, 7946, 7948, 7952, 7958, 7961, 7966, 7967, 7970, 7972, 7977, 7979, 7980, 7983, 7993, 8003, 8005, 8008, 8012, 8013, 8018, 8024, 8025, 8026, 8028, 8030, 8034, 8041, 8044, 8046, 8049, 8050, 8054, 8060, 8063, 8065, 8066, 8080, 8081, 8084, 8085, 8095, 8098, 8102, 8103, 8105, 8106, 8107, 8108, 8109, 8113, 8114, 8121, 8127, 8129, 8133, 8138, 8141, 8142, 8154, 8155, 8158, 8159, 8160, 8165, 8166, 8167, 8168, 8170, 8188, 8194, 8200, 8202, 8209, 8214, 8215, 8216, 8219, 8223, 8225, 8226, 8231, 8237, 8242, 8247, 8248, 8249, 8254, 8256, 8260, 8265, 8266, 8268, 8280, 8282, 8288, 8291, 8292, 8296, 8300, 8303, 8304, 8307, 8308, 8309, 8310, 8314, 8326, 8330, 8331, 8333, 8335, 8336, 8342, 8343, 8344, 8348, 8349, 8350, 8352, 8363, 8369, 8370, 8378, 8384, 8385, 8387, 8388, 8402, 8410, 8411, 8417, 8422, 8425, 8436, 8439, 8449, 8451, 8453, 8456, 8458, 8459, 8463, 8467, 8470, 8477, 8480, 8483, 8485, 8489, 8490, 8495, 8500, 8504, 8509, 8513, 8517, 8521, 8526, 8531, 8538, 8548, 8553, 8556, 8560, 8562, 8564, 8566, 8573, 8574, 8576, 8579, 8585, 8586, 8588, 8596, 8597, 8606, 8613, 8614, 8615, 8621, 8624, 8625, 8626, 8627, 8630, 8634, 8637, 8638, 8640, 8643, 8644, 8645, 8646, 8647, 8648, 8661, 8664, 8665, 8669, 8676, 8677, 8679, 8681, 8684, 8685, 8686, 8694, 8696, 8699, 8700, 8701, 8703, 8714, 8715, 8723, 8724, 8726, 8727, 8728, 8731, 8735, 8743, 8746, 8756, 8760, 8764, 8768, 8771, 8775, 8778, 8784, 8788, 8790, 8794, 8796, 8798, 8799, 8805, 8823, 8830, 8835, 8846, 8853, 8863, 8868, 8872, 8877, 8879, 8880, 8881, 8889, 8892, 8895, 8906, 8913, 8917, 8922, 8927, 8933, 8939, 8940, 8941, 8950, 8951, 8956, 8957, 8961, 8968, 8971, 8974, 8975, 8976, 8981, 8984, 8991, 8995, 8997, 9000, 9002, 9004, 9006, 9008, 9016, 9018, 9020, 9023, 9024, 9027, 9034, 9035, 9037, 9049, 9051, 9053, 9058, 9062, 9069, 9086, 9089, 9090, 9091, 9092, 9093, 9095, 9108, 9110, 9112, 9114, 9116, 9118, 9121, 9122, 9125, 9127, 9130, 9135, 9137, 9144, 9154, 9161, 9162, 9173, 9178, 9182, 9186, 9189, 9190, 9193, 9194, 9197, 9198, 9200, 9212, 9216, 9221, 9226, 9227, 9234, 9236, 9238, 9240, 9252, 9254, 9260, 9265, 9272, 9273, 9275, 9276, 9280, 9281, 9285, 9287, 9292, 9294, 9297, 9302, 9315, 9316, 9317, 9318, 9331, 9336, 9338, 9341, 9345, 9355, 9356, 9358, 9360, 9362, 9363, 9366, 9369, 9370, 9372, 9375, 9377, 9380, 9381, 9382, 9385, 9387, 9391, 9395, 9396, 9399, 9405, 9408, 9410, 9412, 9421, 9422, 9426, 9432, 9434, 9437, 9444, 9447, 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Gap-uri:
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2, 1, 3, 4, 1, 1, 10, 8, 1, 4, 5, 1, 7, 4, 8, 1, 2, 1, 6, 3, 4, 1, 1, 6, 1, 2, 1, 3, 8, 2, 3, 1, 6, 3, 2, 6, 4, 6, 6, 15, 4, 2, 1, 1, 1, 1, 2, 10, 6, 1, 1, 6, 4, 5, 4, 2, 2, 2, 7, 2, 13, 6, 1, 3, 7, 1, 3, 4, 3, 2, 2, 7, 2, 10, 6, 4, 2, 7, 5, 8, 4, 4, 3, 3, 1, 1, 3, 4, 4, 6, 6, 3, 8, 2, 4, 1, 1, 2, 3, 2, 1, 1, 1, 3, 3, 3, 2, 1, 3, 2, 2, 2, 4, 6, 1, 2, 4, 11, 6, 1, 12, 6, 11, 5, 1, 1, 24, 7, 4, 3, 9, 2, 1, 3, 10, 1, 7, 1, 13, 4, 1, 6, 1, 5, 6, 4, 6, 6, 5, 17, 2, 1, 4, 12, 6, 5, 6, 10, 4, 2, 24, 1, 1, 6, 2, 3, 6, 4, 1, 6, 4, 2, 1, 8, 13, 10, 2, 2, 3, 2, 2, 2, 1, 5, 6, 5, 2, 2, 3, 5, 3, 2, 2, 3, 1, 1, 2, 8, 15, 4, 2, 1, 6, 1, 2, 8, 9, 2, 2, 15, 7, 7, 3, 10, 2, 5, 6, 11, 2, 19, 2, 3, 2, 1, 4, 3, 1, 2, 7, 3, 1, 1, 3, 2, 4, 1, 9, 3, 7, 2, 1, 4, 1, 1, 2, 6, 1, 2, 3, 4, 6, 8, 4, 1, 2, 1, 6, 2, 1, 4, 5, 4, 7, 1, 7, 10, 3, 3, 2, 1, 2, 1, 11, 2, 4, 3, 3, 2, 1, 3, 2, 4, 1, 4, 2, 9, 4, 2, 2, 1, 1, 1, 1, 1, 1, 3, 14, 13, 1, 6, 4, 3, 1, 1, 3, 2, 3, 3, 1, 12, 2, 5, 5, 10, 4, 2, 11, 5, 4, 4, 1, 2, 4, 6, 9, 6, 5, 16, 3, 1, 12, 1, 4, 2, 1, 4, 1, 2, 4, 4, 3, 1, 4, 1, 2, 1, 2, 1, 1, 8, 2, 1, 1, 3, 3, 8, 5, 3, 1, 4, 14, 5, 2, 7, 8, 3, 9, 6, 12, 3, 5, 1, 3, 1, 7, 9, 7, 6, 1, 1, 3, 1, 7, 12, 1, 1, 7, 1, 1, 11, 12, 4, 5, 2, 1, 7, 2, 2, 7, 2, 4, 1, 3, 1, 2, 2, 2, 4, 2, 1, 7, 1, 3, 4, 1, 1, 2, 4, 2, 3, 1, 1, 3, 5, 3, 1, 4, 6, 5, 3, 2, 1, 2, 10, 4, 2, 1, 11, 3, 2, 4, 3, 12, 1, 2, 1, 3, 1, 2, 8, 1, 3, 1, 2, 2, 3, 6, 3, 5, 3, 1, 12, 4, 9, 1, 7, 7, 7, 6, 2, 6, 6, 11, 3, 7, 6, 5, 1, 2, 7, 1, 4, 6, 7, 5, 1, 2, 4, 2, 1, 2, 4, 2, 1, 2, 1, 4, 1, 1, 10, 15, 1, 17, 1, 16, 2, 4, 2, 3, 9, 8, 4, 3, 11, 2, 8, 3, 1, 2, 4, 2, 2, 7, 6, 4, 2, 1, 3, 5, 3, 1, 2, 2, 16, 4, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 7, 5, 10, 7, 1, 5, 1, 2, 6, 4, 23, 1, 2, 2, 3, 2, 2, 10, 5, 3, 3, 1, 9, 3, 8, 9, 3, 2, 2, 5, 3, 2, 2, 1, 8, 4, 3, 2, 1, 1, 2, 3, 8, 3, 2, 3, 5, 11, 2, 2, 1, 1, 1, 5, 11, 4, 8, 2, 12, 2, 1, 5, 4, 7, 1, 1, 11, 1, 1, 9, 2, 3, 3, 5, 5, 10, 1, 3, 1, 2, 1, 3, 6, 2, 5, 3, 2, 2, 7, 3, 1, 4, 1, 8, 1, 5, 6, 2, 2, 3, 4, 1, 1, 1, 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