TopCoder Statistics - Problem Statement

Problem Statement

The lotteries you know are probably quite boring. You just buy a lottery ticket with some numbers and then you hope that the organizers announce the same set of numbers. As you will discover below, the lottery in Bearland is way more fun!

In the Bearland lottery, you win if you have a ticket that matches the goal string. The goal string is a string of length N chosen by the organizers. Each character of the string will be 'A', 'B', or 'C'. Additionally, it is guaranteed that the goal string will contain "ABC" as a subsequence. For example, "AABAC" and "BBABC" are two possible goal strings of length 5, but "CBAAA" is not a goal string.

However, the lottery tickets do not contain any strings at all. Instead, each Bearland lottery ticket contains some sequence of N (not necessarily distinct) integers.

You win the lottery if you can transform your sequence into the goal string. Transformation rules:

Each element of the sequence should be replaced by a single character: 'A', 'B', or 'C'.
All occurrences of the same number must be replaced by the same letter.

For example, the sequence {5, 8, 5, 2} can be transformed into "ABAC" or "BABB" but not into "ABBB".

Limak got a lottery ticket for his birthday. You are given the int[] t: the sequence of the N numbers on the the ticket. Count the number of different goal strings for which Limak can win the lottery. Return that count modulo 10^9+7.

Definition

Class:: MappingABC
Method:: countStrings
Parameters:: int[]
Returns:: int
Method signature:: int countStrings(int[] t)
(be sure your method is public)

Constraints

t will have exactly N elements.
N will be between 3 and 3000, inclusive.
Each element in t will be between 1 and 3000, inclusive.

Examples

{9,9,2,9,4}

Returns: 2

Limak can transform this lottery ticket into 27 different strings. Some of them are: AAAAA, AAAAB, AAAAC, AABAA, AACAA, AABAB, AABAC, AACAB, AACAC, BBABA, BBABB, ... Among them, only two strings are valid goal strings: AABAC and BBABC. Thus, the answer is 2.
{1,2,3}

Returns: 1
{1,2,2,1,2,1,2}

Returns: 0
{7,3000,1,3000,1,3000,1,10,7}

Returns: 20
{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25, 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48}

Returns: 166952139
{123, 456, 789}

Returns: 1
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1625, 1333, 2535, 2247, 2148, 1919, 654, 1455, 2678, 1529, 706, 1248, 1717, 244, 432, 2215, 458, 472, 41, 1310, 1222, 1098, 892, 42, 1447, 588, 1367, 1989, 1697, 993, 320, 1154, 1709, 1782, 1901, 2457, 197, 1223, 1192, 2040, 2387, 496, 2333, 543, 1054, 2808, 1727, 2359, 673, 417, 602, 384, 1699, 1805, 196, 2314, 1273, 1624, 2977, 1409, 1166, 277, 1461, 2489, 2730, 2324, 401, 1751, 295, 832, 1301, 657, 1829, 1387, 854, 98, 526, 1417, 2933, 1304, 2067, 1573, 362, 2845, 2349, 1743, 2178, 1620, 368, 131, 1659, 2983, 244, 2836, 106, 763, 418, 331, 2666, 947, 743, 236, 854, 1320, 297, 564, 218, 211, 579, 468, 1214, 144, 980, 2051, 1101, 1322, 25, 2378, 171, 1757, 2748, 1339, 968, 391, 1361, 775, 2571, 2999, 716, 1035, 262, 2028, 1632, 2361, 1444, 2511, 714, 285, 1707, 1917, 950, 464, 1220, 2864, 1652, 1316, 2940, 1344, 2126, 1151, 2989, 1875, 578, 1488, 2317, 1156, 1985, 1712, 2200, 1051, 2411, 1385, 562, 665, 421, 2932, 2441, 1023, 185, 2726, 2421, 1517, 61, 407, 2155, 916, 2082, 2837, 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2252, 2747, 2050, 1165, 782, 84, 2355, 2321, 1681, 1923, 1460, 2225, 1560, 2936, 2040, 1646, 2644, 1126, 2491, 2690, 1973, 2154, 1100, 1886, 2259, 1117, 2740, 153, 2541, 260, 699, 1837, 2760, 1597, 34, 1933, 1186, 2559, 1028, 604, 2891, 1354, 2518, 155, 2309, 2609, 2521, 2632, 2375, 2361, 558, 648, 836, 2738, 514, 2724, 2607, 557, 230, 2521, 2418, 955, 23, 1869, 2913, 2960, 1172, 1445, 528, 1458, 280, 858, 1142, 1064, 2537, 2855, 370, 584, 1412, 2956, 690, 1651, 773, 978, 220, 2288, 967, 1302, 1394, 318, 2832, 2563, 708, 1040, 2153, 2865, 2980, 2822, 3, 2457, 2690, 2891, 2696, 2358, 1511, 1185, 1322, 2377, 2796, 2061, 2067, 167, 2734, 778, 1333, 2640, 1849, 1889, 211, 2177, 2397, 2316, 2614, 2256, 602, 2787, 1145, 2142, 2616, 1823, 616, 289, 2816, 1302, 334, 901, 1197, 2249, 2640, 1841, 2919, 1294, 1610, 2804, 2350, 2900, 577, 2312, 645, 1021, 1808, 1018, 1581, 2933, 109, 862, 992, 1144, 78, 2589, 2889, 1966, 578, 2248, 7, 616, 1750, 2081, 2122, 1393, 2829, 1168, 2795, 2663, 270, 66, 728, 433, 2194, 2495, 2910, 610, 2399, 1741, 614, 2471, 1683, 2367, 2723, 2701, 536, 2812, 1295, 1159, 1914, 1957, 2846, 1473, 238, 33, 1430, 849, 2490, 1595, 2551, 982, 2545, 1156, 1577, 2623, 2046, 2978, 1966, 2189, 512, 772, 381, 2642, 1826, 2354, 2717, 2001, 2556, 746, 1928, 2145, 111, 441, 2134, 770, 2908, 33, 1054, 463, 1022, 396, 1073, 762, 196, 2010, 2811, 1760, 2546, 1108, 2622, 932, 2802, 2543, 1481, 2267, 516, 397, 2966, 2803, 974, 2820, 99, 1421, 1937, 2905, 1430, 2615, 2268, 1726, 1805, 615, 2742, 473, 563, 1072, 1795, 1389, 2948, 714, 2782, 1490, 724, 1730, 840, 2770, 165, 1382, 2380, 1449, 1589, 2956, 1480, 1056, 1575, 1265, 1293, 658, 856, 295, 2665, 2403, 2606, 1403, 1177, 2261, 2723, 2761, 36, 1271, 841, 867, 919, 1366, 1701, 1451, 1301, 1837, 1162, 677, 1879, 2462, 2954, 1152, 1631, 2381, 2214, 2429, 259, 154, 2477, 1320, 693, 2805, 2921, 2415, 459, 2922, 1012, 789, 864, 2756, 1143, 1918, 1204, 2670, 2620, 249, 2498, 2150, 2556, 1489, 588, 1893, 1905, 622, 1065, 2155, 2387, 819, 1325, 2825, 904, 2422, 190, 2941, 2912, 2141, 2892, 1539, 210, 2761, 157, 2928, 1517, 2779, 2426, 1229, 1627, 2510, 2276, 607, 1350, 1875, 290, 623, 1366, 2308, 2722, 2587, 542, 495, 2221, 1783, 1105, 2906, 1330, 554, 1595, 120, 612, 736, 520, 1373, 760, 1141, 160, 1573, 2554, 2004, 2966, 1252, 2750, 1442, 2028, 1218, 1076, 954, 2278, 1238, 1484, 2828, 2952, 6, 1122, 2961, 1118, 716, 2392, 1653, 880, 2149, 393, 2054, 714, 2126, 2426, 66, 943, 1427, 272, 2846, 508, 396, 2340, 2694, 1881, 1985, 390, 2625, 1070, 1284, 2301, 1683, 2281, 2080, 2991, 489, 2886, 1749, 1315, 999, 1812, 2721, 1149, 300, 2743, 818, 617, 1705, 2898, 1838, 718, 921, 387, 2427, 2979, 1188, 987, 2075, 793, 758, 2988, 2628, 328, 623, 819, 559, 1124, 942, 402, 2440, 1987, 849, 1059, 1840, 1735, 556, 170, 2039, 2376, 1227, 1680, 2447, 1170, 2930, 2409, 1547, 105, 1386, 1178, 47, 201, 484, 2927, 596, 1424, 2024, 2957, 1557, 2128, 2259, 2963, 1495, 2054, 1040, 2052, 275, 1416, 2714, 1437, 1613, 2069, 1046, 1008, 407, 2766, 348, 500, 962, 2889, 1257, 2859, 970, 2597, 1051, 123, 392, 1345, 693, 2975, 2910, 7, 2586, 2516, 1155, 1729, 194, 1578, 1381, 660, 770, 454, 277, 1908, 1225, 2277, 2731, 1051, 1887, 2166, 1628, 2141, 2149, 1063, 1649, 2704, 1935, 1407, 1811, 1302, 2153, 2760, 1746, 253, 2159, 1165, 920, 1111, 844, 2338, 1450, 911, 1191, 146, 1063, 282, 1551, 2794, 2578, 2332, 2726, 2681, 2309, 1870, 2755, 1117, 1095, 2780, 119, 2532, 446, 515, 2107, 15, 2772, 1066, 2121, 1618, 1678, 200, 968, 495, 193, 2032, 1960, 161, 2006, 1161, 2754, 1929, 396, 1518, 1773, 2668, 726, 1778, 1946, 1199, 1, 1797, 2829, 949, 1322, 2064, 1980, 1701, 2921, 606, 1702, 1788, 36, 1498, 1635, 2164, 2610, 930, 2709, 2468, 1636, 2650, 2945, 539, 290, 2916, 2792, 1868, 859, 1374, 385, 1843, 80, 2062, 2762, 2239, 1379, 209, 269, 798, 2155, 1930, 2730, 838, 291, 2392, 2352, 1472, 1081, 30, 31, 1776, 82, 350, 1215, 2168, 2093, 1087, 1896, 377, 661, 1777, 2978, 1010, 2153}

Returns: 641478422
{1,2,3,3,4,5}

Returns: 51
{1,1,1}

Returns: 0
{3000,3000,3000}

Returns: 0
{3000,2999,2998}

Returns: 1
{1,2,1}

Returns: 0
{2,2,1}

Returns: 0
{1,4,6,10}

Returns: 9
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000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Returns: 0
{1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000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Returns: 2
{1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000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,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,3000,10}

Returns: 13
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Returns: 968739307
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Returns: 643106004
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1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Returns: 0
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Returns: 902745578
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601,273,589,765,646,182,894,543,754,997,484,586,896,658,778,344,606,262,226,960,885,564,132,688,529,225,437,334,111,38,8,711,311,597,828,308,130,73,203,235,70,38,820,965,695,949,308,653,562,533,612,446,96,95,485,976,320,921,309,430,959,669,492,621,265,319,928,746,392,130,980,813,168,151,777,862,99,84,866,660,969,477,105,416,924,941,744,243,862,404,24,820,72,867,440,688,186,719,433,929,849,764,741,368,914,869,581,364,304,447,23,272,275,479,40,198,420,783,440,633,538,815,452,610,682,243,297,219,313,82,499,513,845,591,880,111,459,813,826,114,611,849,386,885,679,777,83,450,911,874,82,448,41,885,57,74,479,354,292,792,787,142,304,983,732,536,445,542,348,271,655,958,471,392,194,149,520,276,599,430,502,680,878,894,917,286,967,395,991,258,186,777,751,490,760,834,377,204,727,724,474,733,33,944,125,226,445,644,854,395,426,707,426,655,600,342,940,566,737,931,175,922,59,925,763,170,110,139,374,836,214,199,568,246,495,44,824,291,688,29,685,465,735,110,119,686,452,58,603,188,340,777,461,399,53,224,920,162,362,293,349,576,844,916,173,690,960,348,980,999,376,16,463,462,125,933,147,928,990,749,467,682,877,928,432,281,151,351,794,864,996,142,791,191,410,316,880,369,663,211,719,391,226,181,852,702,113,999,982,454,99,448,487,328,375,918,608,877,621,402,93,616,895,883,806,304,550,37,24,213,599,742,603,176,274,806,229,738,804,210,192,255,658,678,582,384,948,541,261,568,294,353,535,541,587,692,844,137,728,868,701,326,961,655,853,235,460,81,972,616,291,515,222,300,545,155,683,492,695,943,411,341,647,945,881,586,636,76,74,715,943,774,392,256,428,244,490,239,324,461,854,966,328,427,265,872,581,948,363,276,242,773,968,241,69,848,826,704,923,899,770,218,24,161,473,803,756,314,41,79}

Returns: 5062605
{6,3,4,7,1,4,7,1,1,3,1,2,7,3,6,5,3,6,6,7,1,7,2,6,5,2,4,3,7,4,7,4,4,3,3,5,6,1,3,5,3,1,6,3,3,4,7,3,7,4,2,7,3,4,5,6,5,1,1,3,2,5,6,6,7,1,1,4,1,3,1,2,1,6,4,1,7,1,3,6,4,2,5,5,5,7,3,1,7,1,1,6,6,6,4,5,4,2,1,3,2,6,4,2,2,5,2,1,5,4,4,2,4,6,4,6,5,6,6,2,4,6,1,2,2,2,5,6,2,3,1,3,2,2,5,1,6,4,2,3,6,3,2,2,7,5,7,4,1,4,4,5,7,2,4,2,1,1,7,2,4,5,5,3,6,7,1,4,3,7,6,6,3,6,7,2,3,5,3,2,1,6,6,7,5,2,1,6,1,5,7,2,2,2,2,5,1,2,1,2,2,5,7,4,3,5,3,3,2,5,2,7,2,7,6,6,7,5,4,7,7,2,6,7,3,7,4,2,1,3,1,2,7,5,3,7,2,5,7,1,1,2,7,2,6,4,5,5,1,7,2,7,1,7,6,1,6,1,2,5,3,2,6,2,5,7,6,6,4,3,5,2,4,4,3,1,7,1,3,5,7,5,5,5,2,1,5,6,1,7,3,3,6,6,2,1,5,5,7,7,6,4,1,7,5,4,7,3,2,3,7,6,5,4,3,6,3,5,4,1,2,6,2,6,5,1,6,2,4,5,6,2,6,7,1,2,1,1,4,2,3,3,5,7,5,5,3,5,2,7,5,4,3,6,2,7,5,7,7,1,3,5,2,6,2,2,7,2,7,1,3,7,4,5,4,6,2,7,3,4,6,5,7,6,2,1,6,6,5,3,6,7,5,5,4,7,4,3,1,4,2,2,3,5,6,7,1,1,4,1,4,7,5,1,5,6,6,1,2,3,3,7,1,6,2,4,5,6,4,3,2,5,4,2,7,1,6,7,6,2,7,7,1,3,7,6,1,3,6,1,5,7,5,3,5,7,6,7,5,1,2,4,5,4,5,5,4,2,2,2,3,7,6,2,2,5,5,7,5,1,7,2,7,5,3,2,4,6,1,6,6,1,2,4,4,4,6,5,5,7,4,6,4,2,7,5,4,4,5,1,4,2,7,2,6,2,3,7,6,2,5,4,2,4,5,3,1,1,5,3,6,1,1,2,7,5,7,3,6,2,1,3,3,7,2,2,7,2,1,5,1,4,6,7,7,4,2,5,2,6,1,7,4,6,2,3,4,6,3,2,7,3,2,2,3,1,1,7,3,7,4,1,3,2,1,2,3,7,7,5,6,7,2,7,3,3,3,4,6,3,4,5,6,5,5,6,4,3,5,4,2,6,4,4,7,4,6,1,4,5,3,7,2,4,6,2,5,6,6,3,7,2,6,5,4,1,3,7,3,5,3,5,3,5,1,2,1,4,7,2,6,2,6,5,4,3,7,1,1,5,1,7,6,4,2,7,4,2,7,7,6,7,2,1,4,2,1,3,4,5,2,2,7,1,7,1,3,6,1,1,1,6,6,4,3,7,3,4,2,7,3,5,7,2,4,1,4,4,1,5,1,3,6,5,3,3,5,5,1,3,5,6,7,3,2,2,1,5,5,7,2,6,4,1,7,7,7,1,1,7,5,7,7,2,4,2,4,7,4,3,7,7,1,6,7,3,7,7,5,3,6,6,6,1,5,3,5,4,4,6,1,6,5,1,7,6,7,2,3,4,4,3,3,4,1,2,4,6,7,1,6,3,5,4,1,2,6,6,3,7,2,1,6,4,1,3,7,6,4,3,7,5,5,2,7,3,1,3,1,5,4,6,6,1,7,6,7,6,4,2,3,3,2,6,6,1,2,6,4,3,1,3,6,3,2,5,5,7,7,4,5,1,7,3,6,7,6,5,3,3,4,5,3,4,4,2,2,3,7,5,3,5,5,1,5,6,5,2,3,3,3,7,3,3,7,7,2,6,4,4,6,6,6,1,7,2,7,1,2,4,3,5,6,5,5,3,3,1,3,5,3,5,3,3,5,7,2,6,3,4,7,6,2,6,5,6,5,4,4,7,6,6,2,4,1,6,7,3,4,2,5,4,4,5,7,2,5,1,5,5,2,5,4,1,1,1,6,3,2,2,7,7,5,1,4,5,5,3,5,1,2,1,5,3,5,2,4,7,7,7,5,2,4,6,2,2,6,6,4,7,7,4,5,3,4,1,7,6,1,3,7,7,3,2,2,5,3,4,5,2,1,7,3,4,5,3,3,1,1,4,5,5,5,2,7,7,7,5,5,5,7,4,4,7,5,4,4,5,5,6,7,5,3,2,6,5,4,6,5,2,2,1,7,7,2,6,4,7,1,1,4,7,3,6,4,5,2,6,3,4,4,2,1,5,1,4,2,3,2,5,4,3,5,1,7,4,7,3,3,7,4,5,5,4,3,6,1,2,4,3,5,6,2,5,3,3,1,2,5,2,6,6,2,3,7,2,7,4,2,7,1,3,4,3,6,4,2,7,5,3,7,2,1,2,4,1,4,2,3,6,1,6,2,3,2,1,2,6,2,3,3,3,6,5,3,2,1,4,1,6,7,1,7,5,2,4,4,3,3,6,1,4,4,7,6,3,6,7,6,7,7,7,7,3,4,3,5,2,4,3,7,1,3,5,6,2,6,2,4,1,5,2,4,6,7,2,7,5,6,3,4,4,2,2,4,3,2,1,5,5,2,4,6,4,6,2,4,4,1,5,5,3,5,6,6,4,6,5,1,2,6,2,5,5,1,2,1,2,7,5,7,1,6,3,3,3,2,4,6,7,1,1,7,3,7,5,4,3,1,2,4,6,4,7,1,2,6,1,4,5,3,1,4,7,3,4,2,2,7,5,1,5,6,7,1,3,2,4,5,2,6,6,5,7,5,6,1,3,4,2,1,7,2,2,4,4,5,5,3,2,2,3,6,5,7,4,5,2,1,7,1,4,6,6,1,3,2,1,4,5,1,2,4,2,3,7,4,5,2,6,6,2,7,2,4,6,6,2,5,4,6,4,7,4,2,7,5,1,5,1,5,5,2,7,7,2,4,1,6,6,6,2,5,3,3,1,7,1,2,4,4,1,7,3,2,6,7,4,6,3,4,2,5,3,1,2,4,4,2,7,7,1,1,4,3,4,5,2,4,4,4,6,2,1,6,2,5,6,5,1,6,2,2,3,2,7,5,4,4,6,3,1,4,2,5,5,5,2,6,6,3,7,4,5,6,1,6,3,6,3,3,2,2,3,4,2,2,1,5,3,7,5,4,3,6,6,7,3,5,4,7,7,1,1,2,6,1,5,1,4,6,2,5,7,4,2,6,3,7,3,6,6,1,7,7,6,3,4,7,7,5,4,6,6,4,6,4,3,3,3,6,1,2,2,6,5,1,4,5,7,7,1,6,5,5,3,1,7,6,7,6,2,3,3,7,5,1,1,7,1,1,5,2,2,4,5,4,4,1,7,4,5,7,7,7,5,2,1,4,5,7,1,6,1,1,3,5,1,2,4,6,7,6,5,2,3,2,3,4,3,2,7,5,7,6,5,4,5,5,5,3,2,3,6,2,3,7,4,1,6,7,7,5,4,4,4,4,6,7,7,6,6,7,1,5,3,5,6,1,7,2,1,2,4,4,1,7,3,5,5,6,4,4,4,5,6,7,1,2,4,1,7,3,5,7,5,7,3,4,7,2,3,7,3,6,4,4,3,4,6,6,3,2,2,4,5,5,3,5,6,5,3,5,5,7,3,7,7,3,1,4,4,3,2,5,7,5,6,2,6,4,5,6,3,7,2,7,4,3,3,1,7,5,5,2,5,5,1,2,7,2,5,2,4,6,6,3,1,2,3,5,5,7,3,5,4,5,5,6,5,5,6,2,2,1,3,4,4,1,5,1,2,3,2,4,6,5,4,7,6,4,4,1,2,4,6,3,6,1,1,3,5,4,4,4,3,4,1,4,3,5,4,4,5,6,5,4,1,7,1,7,3,2,5,2,3,3,5,2,1,3,2,3,5,4,7,7,7,7,3,2,2,4,4,5,2,6,1,3,5,6,7,6,5,4,7,7,5,4,1,3,7,3,6,4,6,3,1,3,7,1,3,1,4,4,3,4,2,3,4,7,6,1,5,3,4,4,3,6,6,3,2,3,3,5,4,6,7,4,2,6,2,2,4,5,5,7,6,6,7,2,3,6,7,5,6,4,7,1,7,5,2,6,5,2,3,1,1,2,2,7,5,3,1,7,5,3,4,2,6,1,1,2,4,1,6,3,2,3,1,1,5,2,7,2,2,2,2,2,2,3,6,4,3,6,1,6,1,4,7,6,3,5,5,6,5,2,1,6,4,7,7,2,6,4,3,7,5,3,1,4,3,4,6,4,2,6,7,7,1,4,4,3,1,6,1,6,7,7,4,2,4,1,1,2,4,1,2,7,1,7,1,4,4,6,5,3,5,4,1,5,7,4,5,7,7,3,5,5,2,7,6,5,7,4,5,2,4,6,6,3,3,6,6,6,5,3,7,2,6,7,4,5,1,6,2,7,1,7,4,1,4,7,3,1,1,7,2,3,3,7,5,6,6,1,2,1,3,1,7,6,7,3,1,5,6,2,5,6,6,6,4,2,4,7,3,2,4,4,4,7,2,1,3,5,1,4,5,1,5,4,4,2,4,4,7,2,6,2,5,2,5,2,4,6,6,6,1,2,7,4,6,6,3,1,3,1,5,7,7,7,3,3,6,4,7,3,5,3,4,3,4,7,2,5,5,7,1,5,1,6,7,7,4,7,5,5,7,2,2,6,6,5,7,5,6,6,7,4,6,2,4,7,1,5,5,3,4,3,6,2,1,3,6,3,2,4,7,6,3,1,3,2,3,2,4,2,5,1,3,3,2,6,7,7,1,4,3,4,5,6,3,5,1,2,7,2,3,4,5,3,5,7,4,5,6,5,6,3,6,1,3,5,4,3,5,4,4,5,5,1,3,1,6,1,7,3,2,7,7,4,2,2,4,4,6,2,1,3,5,4,1,5,2,5,7,4,6,4,1,4,2,1,2,5,1,6,1,7,5,5,3,6,6,4,7,2,6,6,4,1,2,5,3,1,7,3,4,5,4,2,1,5,7,7,3,5,5,1,2,2,5,5,6,1,6,3,2,4,1,6,2,1,1,5,1,7,5,3,4,6,2,3,3,7,7,3,4,5,1,6,4,5,1,7,3,6,3,5,1,3,1,7,1,1,2,7,7,4,2,1,2,1,1,3,7,1,5,2,5,6,5,6,1,5,6,4,1,1,1,1,1,6,6,2,6,7,6,3,4,7,1,5,5,2,5,3,7,3,2,2,6,6,7,6,1,3,7,1,3,5,7,2,3,5,1,1,2,6,1,3,3,2,6,5,1,3,7,7,5,1,1,1,6,5,7,4,1,4,5,1,2,4,2,4,6,7,3,5,5,3,1,5,2,6,3,2,1,2,1,4,1,6,4,4,2,1,1,2,5,5,2,6,6,2,7,2,1,2,6,4,5,6,1,6,2,3,1,1,3,6,4,3,3,5,6,4,4,4,3,6,6,2,4,2,3,1,3,2,3,7,5,7,5,3,3,5,4,1,5,6,5,1,6,7,3,2,1,6,6,3,4,4,4,5,6,5,6,1,6,1,5,1,5,1,1,7,5,4,6,2,7,3,7,5,2,7,7,7,6,5,2,7,6,3,5,4,7,1,3,3,6,7,1,3,7,2,7,2,3,5,3,3,7,7,7,6,7,4,5,5,1,6,2,7,7,6,1,6,4,3,7,2,1,7,2,5,6,2,7,2,4,7,4,4,7,1,7,6,5,5,1,3,1,2,7,7,6,1,4,2,1,1,2,6,5,3,4,4,2,3,5,6,2,6,7,6,6,6,4,1,1,2,4,2,2,3,6,7,3,7,6,2,5,7,7,3,1,3,6,2,3,1,7,5,6,6,3,2,3,5,3,3,6,6,2,5,1,6,4,2,3,1,3,1,5,2,3,5,5,6,7,5,6,4,2,4,1,3,5,3,5,5,5,1,3,5,6,2,3,7,3,5,7,5,5,3,4,5,7,6,3,4,4,1,6,3,2,6,5,5,1,7,2,3,1,3,5,6,4,7,5,6,3,3,1,7,5,2,3,2,1,5,4,2,4,2,4,5,7,7,7,5,6,7,5,4,2,3,2,5,7,5,1,2,7,6,7,2,7,2,3,5,4,4,4,7,5,6,3,2,5,2,4,1,1,2,5,2,2,6,4,6,1,4,1,5,7,5,6,5,4,7,7,7,3,4,7,1,2,2,7,4,3,4,4,2,3,6,3,2,3,5,7,3,1,5,1,6,7,6,3,3,3,7,3,6,1,2,4,2,1,3,3,3,4,7,2,4,5,5,5,5,2,3,1,7,7,1,3,5,4,3,7,5,3,2,3,3,1,4,3,1,4,5,2,1,2,3,4,5,7,7,2,6,2,2,4,6,7,6,3,2,2,3,6,4,2,6,4,3,7,6,3,3,4,4,1,3,7,3,7,4,2,2,1,3,1,4,6,1,2,7,7,3,2,3,4,1,1,1,3,7,4,4,7,5,7,1,1,4,3,7,1,4,6,6,4,7,2,7,5,3,6,4,4,5,6,5,6,4,3,1,1,5,2,7,2,2,7,2,3,2,7,1,3,5,6,4,2,7,4,4,1,2,7,2,7,3,6}

Returns: 1806
{9,11,7,10,5,11,13,6,11,7,1,10,13,6,2,9,1,9,3,2,2,9,9,6,7,6,12,8,14,12,11,14,15,2,9,11,4,13,1,7,4,9,1,8,6,2,1,6,10,11,14,3,11,14,1,2,12,4,1,10,15,11,9,14,5,9,2,15,6,2,6,1,10,6,15,7,14,1,13,1,3,3,3,13,2,3,14,13,6,14,7,13,1,7,3,12,15,4,12,12,13,2,12,14,15,12,6,13,4,10,5,6,12,8,10,13,2,8,10,15,13,9,4,13,15,13,10,15,9,13,11,6,14,15,4,5,3,9,10,13,3,14,10,7,13,4,4,15,11,6,6,15,14,1,12,5,13,13,11,6,10,7,3,1,13,7,5,15,7,14,4,2,5,13,8,2,1,3,8,3,8,13,2,13,5,5,3,10,10,5,15,4,11,3,11,15,1,8,6,7,13,9,8,2,6,7,4,13,10,11,15,9,1,8,14,5,13,1,6,7,12,6,2,8,15,5,14,15,12,5,13,1,13,6,3,11,4,6,8,13,8,15,7,8,14,5,5,3,12,10,9,8,7,3,7,13,14,6,12,2,2,2,2,14,14,4,9,2,1,2,15,1,8,13,15,6,9,4,9,12,6,9,11,4,3,3,2,1,15,5,2,1,13,11,6,11,6,15,13,7,8,12,7,7,1,6,12,9,2,12,12,14,6,7,9,15,1,2,1,15,14,9,7,11,11,5,7,2,4,4,15,3,7,13,1,14,10,12,14,11,1,10,1,6,1,2,5,2,3,12,8,1,13,7,4,8,11,10,1,6,5,15,8,11,12,8,9,7,11,14,9,11,8,2,8,8,3,5,1,12,1,1,13,5,7,1,5,2,2,5,7,6,5,6,8,8,5,8,14,15,6,15,3,13,1,10,12,3,14,13,6,7,13,10,3,11,2,7,12,3,12,10,8,8,15,15,15,4,7,14,10,4,5,12,1,5,14,13,14,12,2,4,10,6,14,13,1,15,4,12,10,7,6,9,14,12,9,14,15,7,4,9,11,8,13,3,4,11,15,2,14,8,12,9,13,2,13,13,2,1,1,3,15,13,11,13,9,11,3,15,3,13,1,5,5,13,14,15,15,6,1,13,13,5,13,3,6,10,7,14,3,8,1,2,12,12,6,13,7,9,4,1,6,4,12,3,8,11,2,7,1,10,12,13,14,9,7,4,11,14,3,13,13,3,14,1,14,4,13,13,4,2,13,10,12,10,4,5,5,5,3,12,14,14,1,12,15,8,8,10,6,10,7,3,4,12,3,10,7,8,7,11,1,11,12,12,5,15,1,1,4,11,12,10,9,13,13,8,12,5,9,2,6,15,11,2,3,5,11,10,4,9,5,4,4,8,1,1,7,8,8,2,3,12,3,12,1,1,11,12,5,5,13,3,11,15,4,14,11,14,8,15,14,4,3,9,11,3,1,9,11,9,2,13,5,5,1,12,5,4,8,1,8,12,3,10,11,13,8,6,3,15,5,1,10,15,2,12,2,2,5,4,10,7,9,6,3,1,2,7,4,1,14,3,12,9,13,14,6,5,5,9,12,1,1,6,7,2,3,1,4,14,4,5,12,4,3,14,5,11,12,8,12,11,11,15,4,8,14,1,4,10,1,15,2,2,13,9,10,7,9,5,5,4,10,2,8,4,7,4,14,4,3,2,6,13,2,1,12,15,1,8,1,2,7,2,10,4,10,11,10,10,1,7,6,2,15,13,5,6,8,10,1,10,12,6,15,13,6,3,4,14,10,4,7,2,12,8,12,14,3,14,8,10,5,13,11,11,2,7,1,9,9,2,11,5,14,10,9,12,4,4,10,14,14,1,7,10,15,3,8,2,8,1,12,4,5,14,14,14,13,15,7,6,8,9,2,13,10,10,9,14,5,10,12,3,2,3,12,1,12,5,3,12,12,6,15,8,11,14,6,15,13,5,5,12,13,13,9,8,7,10,6,3,4,9,5,6,3,2,13,6,13,15,2,9,12,2,1,15,15,14,14,4,3,4,7,15,8,7,14,15,1,11,9,12,4,14,9,13,15,6,4,12,13,12,12,1,13,4,15,4,2,14,14,4,9,5,11,1,12,9,7,4,5,1,15,15,14,8,13,5,6,8,8,3,4,11,3,9,14,3,12,8,8,11,3,1,7,13,8,3,7,15,7,3,7,13,9,5,13,6,1,3,5,8,12,1,3,14,9,8,8,12,15,15,14,3,7,6,7,7,15,5,6,6,7,4,11,1,15,8,13,15,2,10,14,13,10,1,11,3,15,11,14,7,2,5,1,1,10,7,7,9,12,4,7,10,7,2,2,6,1,15,12,2,9,10,14,10,2,1,12,1,11,2,14,13,6,14,5,15,13,11,1,9,6,7,10,12,15,12,9,15,3,5,1,3,14,14,12,15,14,15,7,2,1,6,6,14,4,10,5,1,5,5,1,2,3,3,13,2,14,13,1,8,2,1,2,7,6,5,6,5,4,12,13,11,2,3,9,13,12,6,5,8,10,6,9,13,15,13,14,5,10,7,12,11,14,5,2,5,9,14,1,4,2,13,14,11,15,15,8,3,12,4,10,6,1,10,10,15,7,9,4,1,7,7,3,5,11,11,9,4,1,1,14,2,5,5,4,4,11,11,13,7,7,7,12,7,1,7,7,14,7,2,6,5,9,15,9,4,10,10,15,2,10,13,11,15,9,14,10,4,2,8,10,8,6,14,6,14,12,12,12,3,6,3,7,14,2,7,9,4,1,8,5,3,13,7,9,6,6,3,10,7,2,11,6,8,9,11,6,5,15,9,7,5,11,5,3,5,12,11,8,4,11,4,6,15,11,14,5,8,9,6,14,10,2,4,9,10,6,6,15,5,15,13,9,2,10,3,6,13,6,5,1,1,1,14,15,3,4,11,10,12,2,15,14,3,10,14,12,15,12,3,5,11,8,5,4,2,8,10,14,13,6,6,5,6,11,11,8,15,6,9,3,7,8,8,1,2,7,5,9,3,7,13,5,14,2,15,7,1,1,5,5,7,3,9,4,13,4,4,4,2,12,7,8,5,6,1,13,12,5,6,6,3,10,2,9,4,2,15,4,2,12,9,15,14,9,4,3,5,7,7,6,3,5,5,14,10,5,4,14,9,9,11,4,4,13,12,14,6,11,2,14,7,2,14,12,3,9,7,7,15,13,12,9,9,1,15,3,6,3,1,6,3,4,9,13,1,12,11,13,8,5,11,6,13,1,10,15,9,1,6,15,5,2,1,13,10,15,15,7,9,8,4,11,11,5,1,3,1,11,7,8,7,9,6,5,10,15,4,10,15,2,2,11,10,2,8,4,1,14,2,1,13,6,11,15,10,3,9,10,14,15,10,12,9,7,1,10,6,12,11,12,13,12,7,14,13,6,10,5,4,11,5,2,8,8,1,2,10,10,4,15,1,5,12,1,3,4,2,8,7,13,11,11,9,9,10,14,14,4,10,2,14,15,10,14,14,3,7,15,4,10,7,4,6,10,12,8,13,13,7,12,10,9,7,11,2,1,1,15,4,10,9,10,1,10,8,14,12,14,6,7,1,12,3,13,13,14,13,2,11,11,13,13,5,5,15,13,5,15,5,1,9,5,10,10,14,9,15,3,14,12,9,6,15,11,4,12,9,8,14,12,3,11,9,14,15,8,12,12,14,1,12,7,12,13,8,10,6,15,12,11,11,13,2,3,8,12,14,9,4,12,5,13,15,5,12,14,4,15,10,2,7,13,15,3,10,8,4,7,14,8,3,1,5,11,3,4,14,2,12,2,5,8,6,4,4,9,10,7,8,11,8,6,9,8,8,10,7,4,2,5,11,11,12,15,13,15,3,11,8,7,4,12,6,1,1,10,10,2,8,9,12,1,15,12,15,14,7,13,2,15,2,4,2,13,3,14,4,13,1,11,4,4,8,1,11,15,10,5,8,3,6,4,10,5,1,1,10,7,13,4,13,6,7,14,10,2,12,14,14,12,1,9,7,15,1,2,6,3,14,13,12,4,2,6,15,9,13,1,7,10,4,4,7,3,2,1,11,13,6,9,1,7,9,14,13,9,7,4,11,12,1,14,15,9,4,6,2,8,7,8,9,2,11,15,4,12,8,14,1,5,14,8,3,14,13,1,15,12,4,2,8,11,1,15,5,11,5,6,4,11,14,12,13,1,4,8,13,11,14,5,15,4,5,3,3,2,3,2,13,13,10,6,8,10,5,12,6,1,10,9,12,8,12,1,15,15,8,4,10,13,9,2,2,13,4,4,6,13,12,4,10,6,1,2,8,12,6,13,12,15,13,15,14,1,15,13,8,15,2,2,12,2,10,5,14,5,15,4,2,3,14,3,1,14,5,8,2,2,12,14,1,1,5,6,1,5,3,8,11,11,2,14,12,3,11,2,8,10,13,9,13,11,12,13,2,8,5,10,1,8,15,8,8,5,13,15,1,7,15,11,3,1,1,6,3,11,15,2,6,12,11,10,14,14,14,15,6,10,2,13,2,1,5,9,5,2,15,5,15,14,7,2,6,15,15,9,10,14,10,7,2,12,8,15,10,6,7,7,15,8,4,1,8,15,1,13,1,1,9,1,6,8,9,12,7,15,12,8,5,13,7,6,10,14,6,11,5,4,10,4,11,5,12,3,5,4,7,12,4,8,4,2,15,5,13,13,4,9,5,1,6,11,6,7,2,3,3,6,6,4,1,8,8,4,3,4,8,9,1,3,8,11,4,14,15,8,11,11,1,8,11,7,10,8,5,11,3,7,8,8,2,1,1,10,4,3,5,3,3,5,13,3,8,8,1,7,1,4,9,1,3,11,14,12,4,4,8,6,2,7,5,4,7,12,5,3,6,9,12,1,6,9,3,13,2,10,11,2,5,5,9,7,15,8,4,10,11,3,7,4,9,4,7,8,15,3,10,6,12,6,13,2,7,7,14,8,1,9,1,13,5,9,4,12,1,14,6,3,1,13,14,2,1,12,9,7,15,10,4,11,7,1,4,13,7,9,12,15,9,4,12,14,13,15,10,5,14,7,15,6,11,13,7,3,9,7,10,8,8,13,10,7,6,5,11,12,5,8,3,14,3,14,4,15,6,5,5,4,11,4,1,7,8,15,9,1,13,10,1,6,8,2,12,5,7,7,1,3,6,4,1,9,9,4,15,14,15,11,9,11,14,10,9,13,9,2,14,13,4,6,3,11,7,6,7,5,5,7,8,10,2,15,10,3,11,10,1,10,5,10,5,11,11,13,8,11,7,13,8,10,3,3,12,2,8,10,13,12,1,5,14,10,5,15,12,15,1,4,1,6,5,6,8,15,10,7,2,8,12,10,9,14,12,12,7,11,6,5,8,14,9,13,15,5,12,3,11,13,6,12,10,11,9,9,2,3,15,4,3,11,13,11,2,1,15,8,11,5,12,10,10,13,14,9,9,11,11,5,15,2,8,9,4,1,9,12,10,8,15,12,11,4,15,4,4,14,11,7,10,15,8,5,4,7,13,12,9,1,8,8,9,15,8,12,15,1,8,10,15,15,13,10,3,12,13,14,2,1,12,12,7,11,8,10,2,5,6,10,12,6,9,5,5,1,8,12,8,8,13,8,7,10,9,1,14,14,6,15,14,2,3,12,13,10,6,6,7,3,8,10,8,1,15,5,9,7,1,1,14,13,15,12,7,9,13,12,7,3,12,12,12,6,8,1,8,13,6,6,7,5,15,15,13,6,4,6,13,4,13,3,8,13,15,14,13,12,11,4,6,14,15,2,11,7,2,10,11,15,15,2,4,7,8,1,12,3,13,9,13,3,12,5,7,3,11,4,14,13,7,4,11,13,13,13,4,6,8,6,5,14,7,1,5,7,1,9,9,6,2,7,8,5,11,14,7,6,2,12,10,15,8,12,12,5,10,7,10,9,12,7,7,10,7,4,1,14,12,10,11,5,8,3,2,10,8,15,8,1,12,2,15,11,14,3,15,8,9,1,1,12,14,14,7,5,2,14,11,5,8,6,10,7,1,11,2,15,10,9,1,13,10,15,8,8,10,7,7,3,15,14,7,13,13,13,10,6,3,12,11,3,9,5,9,1,7,10,1,1,3,1,14,5,7,13,12,1,12,11,11,11,9,2,15,13,6,1,4,8,4,6,2,13,10,11,13,8,5,5,15,15,5,13,4,4,3,7,4,14,2,6,9,11,14,15,8,11,8,3,4,11,8,5,8,9,7,13,1,12,2,1,3,14,5,6,2,7,12,12,5,14,3,5,1,1,5,8,12,12,11,7,7,3,3,7,12,2,11,4,13,4,4,7,2,9,12,3,7,15,7,12,13,9,1,13,1,12,13,4,15,8,2,14,2,12,5,5,13,7,9,10,10,12,1,12,12,4,6,4,3,12,7,8,12,7,12,5,11,9,8,10,8,2,8,10,13,4,6,10,10,14,11,5,3,3,8,6,6,13,9,15,2,7,7,13,6,11,9,1,4,9,10,4,10,10,5,7,5,10,1,15,1,3,11,3,5,3,15,2,15,1,1,8,7,15,13,12,10,6,12,5,14,14,15,8,15,4,6,4,14,13,3,6,15,5,15,4,7,14,5,14,14,13,6,6,4,10,9,5,1,6,9,6,11,1,6,10,4,11,5,9,9,15,14,8,4,13,4,11,4,15,1,2,12,13,14,7,8,8,11,15,5,12,5,15,12,2,1,15,13,5,1,13,4}

Returns: 14250606
{9,11,7,10,5,11,13,6,11,7,1,10,13,6,2,9,1,9,3,2,2,9,9,6,7,6,12,8,14,12,11,14,15,2,9,11,4,13,1,7,4,9,1,8,6,2,1,6,10,11,14,3,11,14,1,2,12,4,1,10,15,11,9,14,5,9,2,15,6,2,6,1,10,6,15,7,14,1,13,1,3,3,3,13,2,3,14,13,6,14,7,13,1,7,3,12,15,4,12,12,13,2,12,14,15,12,6,13,4,10,5,6,12,8,10,13,2,8,10,15,13,9,4,13,15,13,10,15,9,13,11,6,14,15,4,5,3,9,10,13,3,14,10,7,13,4,4,15,11,6,6,15,14,1,12,5,13,13,11,6,10,7,3,1,13,7,5,15,7,14,4,2,5,13,8,2,1,3,8,3,8,13,2,13,5,5,3,10,10,5,15,4,11,3,11,15,1,8,6,7,13,9,8,2,6,7,4,13,10,11,15,9,1,8,14,5,13,1,6,7,12,6,2,8,15,5,14,15,12,5,13,1,13,6,3,11,4,6,8,13,8,15,7,8,14,5,5,3,12,10,9,8,7,3,7,13,14,6,12,2,2,2,2,14,14,4,9,2,1,2,15,1,8,13,15,6,9,4,9,12,6,9,11,4,3,3,2,1,15,5,2,1,13,11,6,11,6,15,13,7,8,12,7,7,1,6,12,9,2,12,12,14,6,7,9,15,1,2,1,15,14,9,7,11,11,5,7,2,4,4,15,3,7,13,1,14,10,12,14,11,1,10,1,6,1,2,5,2,3,12,8,1,13,7,4,8,11,10,1,6,5,15,8,11,12,8,9,7,11,14,9,11,8,2,8,8,3,5,1,12,1,1,13,5,7,1,5,2,2,5,7,6,5,6,8,8,5,8,14,15,6,15,3,13,1,10,12,3,14,13,6,7,13,10,3,11,2,7,12,3,12,10,8,8,15,15,15,4,7,14,10,4,5,12,1,5,14,13,14,12,2,4,10,6,14,13,1,15,4,12,10,7,6,9,14,12,9,14,15,7,4,9,11,8,13,3,4,11,15,2,14,8,12,9,13,2,13,13,2,1,1,3,15,13,11,13,9,11,3,15,3,13,1,5,5,13,14,15,15,6,1,13,13,5,13,3,6,10,7,14,3,8,1,2,12,12,6,13,7,9,4,1,6,4,12,3,8,11,2,7,1,10,12,13,14,9,7,4,11,14,3,13,13,3,14,1,14,4,13,13,4,2,13,10,12,10,4,5,5,5,3,12,14,14,1,12,15,8,8,10,6,10,7,3,4,12,3,10,7,8,7,11,1,11,12,12,5,15,1,1,4,11,12,10,9,13,13,8,12,5,9,2,6,15,11,2,3,5,11,10,4,9,5,4,4,8,1,1,7,8,8,2,3,12,3,12,1,1,11,12,5,5,13,3,11,15,4,14,11,14,8,15,14,4,3,9,11,3,1,9,11,9,2,13,5,5,1,12,5,4,8,1,8,12,3,10,11,13,8,6,3,15,5,1,10,15,2,12,2,2,5,4,10,7,9,6,3,1,2,7,4,1,14,3,12,9,13,14,6,5,5,9,12,1,1,6,7,2,3,1,4,14,4,5,12,4,3,14,5,11,12,8,12,11,11,15,4,8,14,1,4,10,1,15,2,2,13,9,10,7,9,5,5,4,10,2,8,4,7,4,14,4,3,2,6,13,2,1,12,15,1,8,1,2,7,2,10,4,10,11,10,10,1,7,6,2,15,13,5,6,8,10,1,10,12,6,15,13,6,3,4,14,10,4,7,2,12,8,12,14,3,14,8,10,5,13,11,11,2,7,1,9,9,2,11,5,14,10,9,12,4,4,10,14,14,1,7,10,15,3,8,2,8,1,12,4,5,14,14,14,13,15,7,6,8,9,2,13,10,10,9,14,5,10,12,3,2,3,12,1,12,5,3,12,12,6,15,8,11,14,6,15,13,5,5,12,13,13,9,8,7,10,6,3,4,9,5,6,3,2,13,6,13,15,2,9,12,2,1,15,15,14,14,4,3,4,7,15,8,7,14,15,1,11,9,12,4,14,9,13,15,6,4,12,13,12,12,1,13,4,15,4,2,14,14,4,9,5,11,1,12,9,7,4,5,1,15,15,14,8,13,5,6,8,8,3,4,11,3,9,14,3,12,8,8,11,3,1,7,13,8,3,7,15,7,3,7,13,9,5,13,6,1,3,5,8,12,1,3,14,9,8,8,12,15,15,14,3,7,6,7,7,15,5,6,6,7,4,11,1,15,8,13,15,2,10,14,13,10,1,11,3,15,11,14,7,2,5,1,1,10,7,7,9,12,4,7,10,7,2,2,6,1,15,12,2,9,10,14,10,2,1,12,1,11,2,14,13,6,14,5,15,13,11,1,9,6,7,10,12,15,12,9,15,3,5,1,3,14,14,12,15,14,15,7,2,1,6,6,14,4,10,5,1,5,5,1,2,3,3,13,2,14,13,1,8,2,1,2,7,6,5,6,5,4,12,13,11,2,3,9,13,12,6,5,8,10,6,9,13,15,13,14,5,10,7,12,11,14,5,2,5,9,14,1,4,2,13,14,11,15,15,8,3,12,4,10,6,1,10,10,15,7,9,4,1,7,7,3,5,11,11,9,4,1,1,14,2,5,5,4,4,11,11,13,7,7,7,12,7,1,7,7,14,7,2,6,5,9,15,9,4,10,10,15,2,10,13,11,15,9,14,10,4,2,8,10,8,6,14,6,14,12,12,12,3,6,3,7,14,2,7,9,4,1,8,5,3,13,7,9,6,6,3,10,7,2,11,6,8,9,11,6,5,15,9,7,5,11,5,3,5,12,11,8,4,11,4,6,15,11,14,5,8,9,6,14,10,2,4,9,10,6,6,15,5,15,13,9,2,10,3,6,13,6,5,1,1,1,14,15,3,4,11,10,12,2,15,14,3,10,14,12,15,12,3,5,11,8,5,4,2,8,10,14,13,6,6,5,6,11,11,8,15,6,9,3,7,8,8,1,2,7,5,9,3,7,13,5,14,2,15,7,1,1,5,5,7,3,9,4,13,4,4,4,2,12,7,8,5,6,1,13,12,5,6,6,3,10,2,9,4,2,15,4,2,12,9,15,14,9,4,3,5,7,7,6,3,5,5,14,10,5,4,14,9,9,11,4,4,13,12,14,6,11,2,14,7,2,14,12,3,9,7,7,15,13,12,9,9,1,15,3,6,3,1,6,3,4,9,13,1,12,11,13,8,5,11,6,13,1,10,15,9,1,6,15,5,2,1,13,10,15,15,7,9,8,4,11,11,5,1,3,1,11,7,8,7,9,6,5,10,15,4,10,15,2,2,11,10,2,8,4,1,14,2,1,13,6,11,15,10,3,9,10,14,15,10,12,9,7,1,10,6,12,11,12,13,12,7,14,13,6,10,5,4,11,5,2,8,8,1,2,10,10,4,15,1,5,12,1,3,4,2,8,7,13,11,11,9,9,10,14,14,4,10,2,14,15,10,14,14,3,7,15,4,10,7,4,6,10,12,8,13,13,7,12,10,9,7,11,2,1,1,15,4,10,9,10,1,10,8,14,12,14,6,7,1,12,3,13,13,14,13,2,11,11,13,13,5,5,15,13,5,15,5,1,9,5,10,10,14,9,15,3,14,12,9,6,15,11,4,12,9,8,14,12,3,11,9,14,15,8,12,12,14,1,12,7,12,13,8,10,6,15,12,11,11,13,2,3,8,12,14,9,4,12,5,13,15,5,12,14,4,15,10,2,7,13,15,3,10,8,4,7,14,8,3,1,5,11,3,4,14,2,12,2,5,8,6,4,4,9,10,7,8,11,8,6,9,8,8,10,7,4,2,5,11,11,12,15,13,15,3,11,8,7,4,12,6,1,1,10,10,2,8,9,12,1,15,12,15,14,7,13,2,15,2,4,2,13,3,14,4,13,1,11,4,4,8,1,11,15,10,5,8,3,6,4,10,5,1,1,10,7,13,4,13,6,7,14,10,2,12,14,14,12,1,9,7,15,1,2,6,3,14,13,12,4,2,6,15,9,13,1,7,10,4,4,7,3,2,1,11,13,6,9,1,7,9,14,13,9,7,4,11,12,1,14,15,9,4,6,2,8,7,8,9,2,11,15,4,12,8,14,1,5,14,8,3,14,13,1,15,12,4,2,8,11,1,15,5,11,5,6,4,11,14,12,13,1,4,8,13,11,14,5,15,4,5,3,3,2,3,2,13,13,10,6,8,10,5,12,6,1,10,9,12,8,12,1,15,15,8,4,10,13,9,2,2,13,4,4,6,13,12,4,10,6,1,2,8,12,6,13,12,15,13,15,14,1,15,13,8,15,2,2,12,2,10,5,14,5,15,4,2,3,14,3,1,14,5,8,2,2,12,14,1,1,5,6,1,5,3,8,11,11,2,14,12,3,11,2,8,10,13,9,13,11,12,13,2,8,5,10,1,8,15,8,8,5,13,15,1,7,15,11,3,1,1,6,3,11,15,2,6,12,11,10,14,14,14,15,6,10,2,13,2,1,5,9,5,2,15,5,15,14,7,2,6,15,15,9,10,14,10,7,2,12,8,15,10,6,7,7,15,8,4,1,8,15,1,13,1,1,9,1,6,8,9,12,7,15,12,8,5,13,7,6,10,14,6,11,5,4,10,4,11,5,12,3,5,4,7,12,4,8,4,2,15,5,13,13,4,9,5,1,6,11,6,7,2,3,3,6,6,4,1,8,8,4,3,4,8,9,1,3,8,11,4,14,15,8,11,11,1,8,11,7,10,8,5,11,3,7,8,8,2,1,1,10,4,3,5,3,3,5,13,3,8,8,1,7,1,4,9,1,3,11,14,12,4,4,8,6,2,7,5,4,7,12,5,3,6,9,12,1,6,9,3,13,2,10,11,2,5,5,9,7,15,8,4,10,11,3,7,4,9,4,7,8,15,3,10,6,12,6,13,2,7,7,14,8,1,9,1,13,5,9,4,12,1,14,6,3,1,13,14,2,1,12,9,7,15,10,4,11,7,1,4,13,7,9,12,15,9,4,12,14,13,15,10,5,14,7,15,6,11,13,7,3,9,7,10,8,8,13,10,7,6,5,11,12,5,8,3,14,3,14,4,15,6,5,5,4,11,4,1,7,8,15,9,1,13,10,1,6,8,2,12,5,7,7,1,3,6,4,1,9,9,4,15,14,15,11,9,11,14,10,9,13,9,2,14,13,4,6,3,11,7,6,7,5,5,7,8,10,2,15,10,3,11,10,1,10,5,10,5,11,11,13,8,11,7,13,8,10,3,3,12,2,8,10,13,12,1,5,14,10,5,15,12,15,1,4,1,6,5,6,8,15,10,7,2,8,12,10,9,14,12,12,7,11,6,5,8,14,9,13,15,5,12,3,11,13,6,12,10,11,9,9,2,3,15,4,3,11,13,11,2,1,15,8,11,5,12,10,10,13,14,9,9,11,11,5,15,2,8,9,4,1,9,12,10,8,15,12,11,4,15,4,4,14,11,7,10,15,8,5,4,7,13,12,9,1,8,8,9,15,8,12,15,1,8,10,15,15,13,10,3,12,13,14,2,1,12,12,7,11,8,10,2,5,6,10,12,6,9,5,5,1,8,12,8,8,13,8,7,10,9,1,14,14,6,15,14,2,3,12,13,10,6,6,7,3,8,10,8,1,15,5,9,7,1,1,14,13,15,12,7,9,13,12,7,3,12,12,12,6,8,1,8,13,6,6,7,5,15,15,13,6,4,6,13,4,13,3,8,13,15,14,13,12,11,4,6,14,15,2,11,7,2,10,11,15,15,2,4,7,8,1,12,3,13,9,13,3,12,5,7,3,11,4,14,13,7,4,11,13,13,13,4,6,8,6,5,14,7,1,5,7,1,9,9,6,2,7,8,5,11,14,7,6,2,12,10,15,8,12,12,5,10,7,10,9,12,7,7,10,7,4,1,14,12,10,11,5,8,3,2,10,8,15,8,1,12,2,15,11,14,3,15,8,9,1,1,12,14,14,7,5,2,14,11,5,8,6,10,7,1,11,2,15,10,9,1,13,10,15,8,8,10,7,7,3,15,14,7,13,13,13,10,6,3,12,11,3,9,5,9,1,7,10,1,1,3,1,14,5,7,13,12,1,12,11,11,11,9,2,15,13,6,1,4,8,4,6,2,13,10,11,13,8,5,5,15,15,5,13,4,4,3,7,4,14,2,6,9,11,14,15,8,11,8,3,4,11,8,5,8,9,7,13,1,12,2,1,3,14,5,6,2,7,12,12,5,14,3,5,1,1,5,8,12,12,11,7,7,3,3,7,12,2,11,4,13,4,4,7,2,9,12,3,7,15,7,12,13,9,1,13,1,12,13,4,15,8,2,14,2,12,5,5,13,7,9,10,10,12,1,12,12,4,6,4,3,12,7,8,12,7,12,5,11,9,8,10,8,2,8,10,13,4,6,10,10,14,11,5,3,3,8,6,6,13,9,15,2,7,7,13,6,11,9,1,4,9,10,4,10,10,5,7,5,10,1,15,1,3,11,3,5,3,15,2,15,1,1,8,7,15,13,12,10,6,12,5,14,14,15,8,15,4,6,4,14,13,3,6,15,5,15,4,7,14,5,14,14,13,6,6,4,10,9,5,1,6,9,6,11,1,6,10,4,11,5,9,9,15,14,8,4,13,4,11,4,15,1,2,12,13,14,7,8,8,11,15,5,12,5,15,12,2,1,15,13,5,1,13}

Returns: 14250606
{15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,1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Returns: 1
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,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3}

Returns: 5
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,20,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3}

Returns: 25
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}

Returns: 4
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,20,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}

Returns: 23
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Returns: 68362637
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485, 1332, 1267, 348, 1143, 368, 943, 1149, 581, 1232, 69, 882, 1473, 622, 359, 158, 891, 877, 1106, 343, 1117, 732, 769, 329, 1183, 121, 192, 1281, 1047, 1009, 520, 849, 556, 521, 1002, 965, 1113, 1163, 954, 1319, 294, 263, 1385, 447, 789, 350, 749, 1063, 653, 1187, 762, 331, 195, 1008, 259, 1349, 998, 961, 7, 517, 185, 412, 1438, 852, 86, 356, 418, 1137, 1401, 290, 92, 601, 486, 588, 1255, 1414, 1388, 443, 1054, 828, 1110, 1370, 57, 108, 511, 183, 964, 776, 1449, 1267, 594, 849, 439, 888, 879, 105, 1286, 323, 300, 649, 787, 558, 1469, 279, 33, 401, 862, 1067, 1022, 560, 487, 544, 364, 866, 122, 1247, 468, 1399, 424, 1002, 125, 636, 1189, 1233, 732, 1495, 836, 819, 1462, 552, 1373, 369, 848, 931, 663, 584, 651, 621, 770, 664, 899, 878, 1350, 1217, 85, 1144, 914, 986, 487, 700, 930, 1352, 1401, 645 }

Returns: 482914629
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520, 861, 991, 432, 458, 437, 5, 723, 697, 321, 352, 810, 853, 383, 270, 851, 603, 48, 162, 804, 532, 863, 156, 570, 551, 117, 508, 65, 947, 708, 53, 199, 888, 394, 58, 827, 453, 476, 944, 807, 872, 348, 742, 315, 153, 849, 834, 507, 134, 48, 494, 67, 423, 429, 458, 663, 216, 723, 14, 83, 605, 195, 208, 861, 389, 826, 655, 83, 150, 168, 102, 753, 852, 601, 573, 271, 727, 820, 238, 526, 268, 399, 676, 656, 469, 746, 395, 178, 66, 117, 227, 427, 816, 523, 850, 302, 107, 786, 232, 250, 615, 725, 841, 48, 85, 963, 972, 257, 311, 430, 160, 484, 163, 554, 172, 20, 121, 268, 308, 144, 302, 713, 767, 159, 924, 214, 40, 582, 420, 328, 880, 547, 632, 556, 687, 636, 745, 944, 606, 540, 292, 107, 471, 563 }

Returns: 928560222

Statistics

Problem Statement for "MappingABC"

Problem Statement

Definition

Constraints

Examples