TopCoder Statistics - Problem Statement

Problem Statement

By the time a programmer qualifies for TCO finals he or she should have at least heard of the mythical device called "washing machine". An interesting property of this device is that it is fed not by electricity, as many of you would think, but by socks.

Elly has been living on her own for a while now. Every time she washes her clothes some of her socks mysteriously disappear. Because of that the girl has gathered quite a few single socks of various sizes. She wants to match some of them in pairs, possibly using two socks of different sizes as a pair (come on, nobody will notice if you wear a size 36 sock on your left foot and 37 on your right one). She wants to make P pairs in total out of the socks she has. Any two socks can be paired, however Elly does not like to have pairs in which one of the socks is much bigger than the other. Thus, she wants the difference in sizes in the worst pair to be as little as possible.

You are given the sizes of Elly's socks in the int[] S. You are also given the int P. Compute and return the smallest nonnegative integer D with the following property: Elly can create P disjoint pairs of socks in such a way that in each pair the sock sizes differ by at most D.

Definition

Class:: EllysSocks
Method:: getDifference
Parameters:: int[], int
Returns:: int
Method signature:: int getDifference(int[] S, int P)
(be sure your method is public)

Constraints

S will contain between 2 and 1000 elements, inclusive.
Each element of S will be between 1 and 1,000,000,000, inclusive.
P will be between 1 and |S|/2 (rounded down), inclusive, where |S| is the number of elements in S.

Examples

{42, 37, 84, 36, 41, 42}

2

Returns: 1

Elly has 6 socks and wants to create 2 pairs out of them. One of the optimal possibilities here is to match 36 with 37 and 42 with 42. The maximal difference is 1 (|36 - 37|).
{42, 37, 84, 36, 41, 42}

3

Returns: 42

This is the same as the previous test, but now all socks must be matched into pairs. We have to include the one with size 84, so the best we can do is to match it with one of the socks with size 42.
{5, 2, 8, 8, 6, 7, 3, 7, 4, 2, 4, 5, 3, 6}

7

Returns: 0

In this case Elly can match all socks perfectly.
{17, 3, 13, 3, 2, 17, 11, 5, 5, 7, 11, 7, 13, 19}

7

Returns: 4

The girl wants to minimize the difference in the worst pair.
{795755685, 581869303, 404620563, 708632712, 545404205, 133711906, 372047868, 949333986, 579004999, 323567404, 418932836, 944672732, 196140741, 809094427, 946129058, 30574577, 182506778, 15198493, 150802600, 138749191, 676943010, 177512688, 126303054, 81133258, 183966551, 471852627, 84672537, 867128744, 857788837, 275731772, 609397213, 20544910, 811450930, 483031419, 361913171, 547204602, 892462744, 522136404, 173978710, 131752569, 478582453, 867889991, 153380496, 551745921, 647984700, 910208077, 283496852, 368550363, 379821990, 712568903, 40498239, 113911604, 103237637, 39073007, 684602223, 812852787, 479711181, 746745228, 735241235, 296707007, 262522458, 870676136, 136721027, 359573809, 189375153, 547914047, 198304613, 640439653, 417177802, 25475624, 758242872, 764919655, 310701088, 537655880, 361931892, 14685971, 213794688, 107063881, 147944789, 444803289, 884392679, 540721924, 638781100, 902841101, 7097711, 219972874, 879609715, 156513984, 802611721, 755486970, 103522060, 967048445, 913778155, 94092596, 519074050, 884870761, 248268555, 339840186, 53612697, 826647953}

42

Returns: 12866316
{666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666}

333

Returns: 0
{666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666, 666}

123

Returns: 0
{1, 1000000000}

1

Returns: 999999999
{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919}

500

Returns: 34
{884059697, 171465373, 90754126, 969229193, 918921593, 563951940, 585902853, 73995344, 958646068, 214072540, 375163529, 761905932, 971018539, 830709769, 417831124, 933029416, 362649215, 844370146, 12105076, 881192378, 709474553, 669089456, 101324081, 936702582, 66157276, 290319952, 897221247, 817480336, 481342795, 585902853, 458070174, 668894616, 871998371, 393274631, 336658414, 147391739, 45931780, 116134898, 42477422, 184785809, 506361432, 559873972, 600372084, 375666519, 698412072, 507329020, 625085181, 19313285, 108245234, 650825879, 325791710, 532821566, 571213605, 852908273, 209162360, 287767371, 932063795, 30588246, 789877946, 507329020, 184785809, 372213199, 409547356, 49910109, 68299843, 935061436, 34763087, 397865509, 857065949, 975092227, 809255755, 228288552, 188400726, 477612193, 819749300, 296338418, 634002468, 79245770, 892246358, 38056165, 789877946, 348432515, 23356646, 871998371, 20392813, 292455642, 711455904, 140457297, 642107461, 140457297, 982804155, 133024904, 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222

Returns: 0
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31663077, 944138908, 160889077, 579949229, 311029325, 257336716, 396650286, 392984061, 558996198, 6405055, 223187602, 151050342, 493660928, 358431284, 979536365, 740755248, 844965308, 866076443, 844049519, 72314608, 251638868, 403187677, 598635541, 243364586, 610002370, 94242241, 183178496, 236851706, 320565072, 543104785, 257336716, 927186296, 958752749, 13796630, 400835008, 983346722, 430448255, 284499279, 681665479, 160889077, 958752749, 844640505, 83547083, 442460356, 616261962, 493660928, 2775512, 402621916, 370374483, 277094854, 250164293, 377388130, 468813771, 244778197, 579057250, 262604655, 407443200, 126278401, 553215324, 562112414, 44395427, 692511342, 132722652, 406433073, 816382063, 152803477, 334635543, 544620191, 91540246, 975566836, 230873350, 765006469, 891164654, 670540194, 446726309, 709343736, 159921531, 780807682, 624760395, 667613978, 996472340, 132722652, 408496191, 140996381, 536395202, 91540246, 183178496, 262604655, 562112414, 12707093, 595728, 83547083, 321715510, 380222552, 77472176, 728677681, 946013814, 80827336, 694649591, 549571973, 700836025, 232117234, 666757626, 554980984, 756311669, 126278401, 566409335, 138348693, 468745824, 473964591, 956045145, 897419113, 543312794, 468813771, 35374410, 910058067, 910058067, 726827524, 670540194, 423458408, 249533383, 144873192, 522056607, 402621916, 431752353, 84044431, 54618354, 567291981, 13440741, 897181776, 822428141, 470403366, 925096569, 138348693, 407362352, 363321326, 703043828, 152803477, 958893909, 946001805, 133943332, 976151027, 2434221, 897419113, 651463045, 33587923, 610718606, 321692506, 400803336, 242713551, 451222052, 891164654, 852004784, 426289383, 84867034, 184820093, 776070981, 467369482, 670540194, 976151027, 347388800, 524451509, 138348693, 584542300, 703092054, 365212538, 143229407, 506340087, 400803336, 249533383, 422498542, 867572083, 558996198, 92871280, 116552660, 852004784, 461962232, 92396307, 372229990, 550663884, 978931459, 867572083, 331586084, 701505825, 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333

Returns: 0
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869064741, 73057786, 279365376, 672141847, 746693115, 264461715, 249456292, 662970155, 996647809, 396916711, 126182286, 230733199, 703213206, 221663983, 55970825, 199822580, 592851824, 610492299, 25081402, 67193455, 955430461, 742455175, 982205676, 654985262, 714929534, 202684984, 892842028, 977679677, 438506083, 111530591, 524160238, 318212289, 89745885, 808509854, 295102738, 143931307, 431256363, 219029763, 113773177, 212530964, 936276242, 403063929, 74510360, 660112745, 873400111, 513320733, 141296902, 105677905, 326459141, 260361937, 963985472, 463928188, 432720134, 374223580, 153683762, 742455175, 779795248, 790891006, 201883828, 941092041, 70669833, 703213206, 511991295, 194655353, 90355376, 352018819, 629754481, 692393900, 653861695, 719766974, 185916707, 720603272, 463290187, 45864894, 746497506, 2874117, 145802307, 949457600, 826570608, 524798421, 25081402}

444

Returns: 2003916
{10, 4, 1, 5, 1, 9, 10, 6, 9, 10, 8, 10, 4, 5, 3, 9, 10, 3, 4, 6}

3

Returns: 0
{3, 5, 5, 10, 3, 1, 3, 8, 7, 9, 7, 8, 5, 8, 10, 7, 6, 7, 2, 10}

6

Returns: 0
{10, 2, 1, 10, 10, 5, 9, 10, 5, 7, 2, 1, 6, 9, 2, 7, 5, 8, 10, 8}

9

Returns: 1
{95, 50, 38, 24, 39, 45, 43, 47, 5, 1, 98, 73, 98, 11, 24, 27, 26, 93, 96, 68, 54, 8, 41, 73, 67, 71, 82, 63, 97, 28, 70, 11, 90, 10, 64, 88, 74, 52, 74, 48, 50, 45, 66, 37, 57, 6, 74, 53, 84, 16}

7

Returns: 0
{73, 64, 84, 92, 31, 76, 20, 34, 42, 70, 68, 64, 8, 29, 52, 43, 69, 9, 74, 71, 82, 73, 21, 29, 84, 73, 33, 6, 63, 98, 17, 60, 22, 5, 50, 64, 34, 27, 56, 21, 56, 6, 19, 12, 37, 31, 86, 16, 65, 57}

14

Returns: 1
{52, 33, 90, 21, 66, 10, 66, 61, 38, 16, 50, 17, 91, 87, 43, 88, 41, 58, 57, 72, 70, 66, 19, 77, 23, 93, 89, 5, 7, 59, 100, 66, 43, 6, 40, 1, 90, 83, 92, 95, 25, 23, 58, 26, 94, 8, 81, 49, 42, 97}

21

Returns: 2
{51, 75, 48, 13, 34, 49, 79, 95, 29, 83, 65, 98, 36, 86, 2, 12, 26, 77, 71, 88, 19, 60, 52, 78, 33, 83, 38, 47, 61, 37, 2, 97, 7, 44, 30, 4, 81, 45, 6, 43, 56, 78, 62, 49, 30, 28, 17, 56, 64, 91, 98, 16, 82, 22, 75, 2, 21, 87, 31, 42, 27, 73, 7, 93, 78, 70, 74, 32, 48, 35, 39, 79, 27, 29, 3, 10, 45, 47, 18, 33, 70, 36, 37, 14, 16, 2, 2, 51, 35, 9, 43, 31, 34, 93, 81, 5, 70, 87, 32, 51}

1

Returns: 0
{56, 98, 63, 39, 90, 96, 67, 78, 86, 22, 33, 33, 68, 77, 94, 72, 86, 65, 91, 31, 22, 46, 27, 14, 33, 78, 34, 91, 17, 82, 1, 33, 43, 63, 20, 25, 79, 75, 29, 1, 69, 59, 65, 1, 9, 3, 26, 33, 41, 89, 67, 39, 35, 47, 65, 24, 61, 83, 59, 57, 6, 12, 54, 12, 46, 15, 14, 36, 88, 65, 100, 57, 25, 50, 84, 30, 8, 71, 14, 15, 61, 11, 89, 91, 70, 42, 44, 9, 89, 24, 71, 9, 68, 54, 46, 5, 76, 95, 55, 22}

25

Returns: 0
{49, 75, 47, 64, 32, 87, 93, 5, 93, 57, 96, 80, 80, 82, 30, 46, 10, 66, 15, 69, 54, 86, 68, 70, 49, 3, 21, 73, 91, 10, 20, 33, 88, 25, 32, 33, 35, 63, 37, 87, 15, 56, 36, 18, 69, 44, 37, 11, 72, 43, 9, 36, 93, 32, 3, 74, 83, 48, 29, 7, 79, 68, 85, 8, 15, 53, 22, 34, 68, 63, 14, 62, 78, 83, 30, 71, 2, 80, 76, 80, 95, 6, 84, 92, 78, 16, 77, 78, 12, 79, 78, 78, 91, 75, 50, 18, 65, 79, 79, 65}

50

Returns: 6
{401, 114, 35, 319, 108, 30, 206, 91, 49, 345, 27, 184, 175, 408, 150, 459, 332, 88, 229, 331, 138, 415, 371, 325, 390, 263, 405, 20, 84, 27, 436, 92, 386, 40, 248, 220, 72, 240, 475, 9, 93, 339, 412, 498, 464, 141, 444, 431, 203, 74, 371, 113, 308, 346, 390, 440, 252, 260, 337, 321, 390, 452, 382, 363, 146, 383, 467, 178, 386, 230, 411, 146, 175, 189, 230, 437, 103, 173, 410, 174, 103, 190, 189, 232, 148, 159, 358, 461, 58, 380, 13, 145, 222, 216, 155, 416, 112, 440, 46, 21, 296, 247, 296, 112, 143, 366, 189, 445, 274, 158, 495, 390, 276, 464, 171, 100, 499, 3, 36, 442, 189, 375, 166, 152, 155, 108, 317, 172, 381, 420, 35, 292, 273, 454, 159, 33, 340, 85, 201, 381, 445, 84, 206, 482, 498, 427, 362, 221, 203, 325, 13, 337, 467, 250, 6, 23, 117, 431, 29, 262, 482, 485, 424, 96, 252, 451, 198, 267, 459, 114, 145, 108, 22, 74, 158, 293, 286, 487, 241, 457, 132, 248, 313, 210, 273, 255, 306, 158, 4, 479, 90, 492, 129, 472, 483, 432, 229, 493, 292, 301}

2

Returns: 0
{421, 345, 194, 267, 177, 374, 204, 45, 264, 488, 139, 267, 103, 366, 202, 350, 444, 95, 156, 468, 301, 480, 189, 490, 250, 476, 302, 320, 22, 27, 115, 450, 134, 298, 360, 239, 435, 58, 494, 97, 88, 429, 439, 273, 341, 147, 166, 341, 407, 218, 119, 146, 92, 191, 132, 415, 76, 254, 109, 76, 333, 222, 261, 202, 303, 287, 54, 199, 500, 81, 268, 171, 255, 260, 217, 12, 392, 365, 483, 405, 500, 366, 443, 146, 225, 422, 219, 99, 15, 396, 436, 467, 87, 240, 267, 254, 496, 404, 309, 320, 127, 58, 276, 395, 447, 31, 444, 158, 59, 278, 496, 401, 125, 144, 341, 402, 19, 120, 271, 207, 415, 254, 31, 125, 198, 162, 56, 321, 132, 55, 151, 48, 188, 356, 375, 389, 118, 356, 5, 393, 108, 417, 199, 322, 291, 466, 324, 25, 195, 198, 493, 361, 204, 255, 497, 216, 249, 336, 113, 249, 380, 91, 429, 280, 250, 106, 464, 76, 409, 348, 242, 208, 289, 347, 413, 33, 193, 83, 147, 305, 453, 406, 207, 107, 314, 344, 191, 309, 121, 189, 138, 20, 141, 466, 469, 315, 455, 39, 49, 158}

10

Returns: 0
{244, 85, 227, 414, 345, 131, 127, 236, 149, 300, 400, 27, 332, 181, 128, 384, 27, 218, 156, 471, 454, 326, 269, 437, 242, 188, 370, 444, 404, 49, 337, 411, 148, 410, 181, 365, 136, 371, 485, 359, 35, 119, 194, 350, 319, 203, 495, 96, 318, 380, 370, 223, 74, 409, 51, 27, 229, 388, 202, 399, 307, 82, 191, 41, 409, 312, 295, 43, 32, 270, 56, 426, 300, 348, 354, 393, 379, 31, 242, 365, 117, 131, 354, 470, 205, 351, 332, 480, 163, 195, 402, 379, 142, 45, 142, 123, 7, 289, 442, 87, 194, 190, 446, 353, 362, 46, 444, 339, 341, 369, 165, 249, 436, 4, 400, 38, 81, 138, 212, 320, 126, 299, 40, 95, 421, 11, 24, 163, 361, 43, 97, 334, 385, 145, 378, 474, 38, 114, 446, 211, 6, 321, 258, 99, 316, 191, 283, 204, 140, 307, 332, 466, 403, 67, 254, 372, 455, 373, 92, 492, 211, 209, 400, 172, 165, 110, 69, 358, 207, 314, 15, 438, 467, 32, 23, 472, 106, 315, 460, 137, 484, 380, 213, 273, 99, 242, 172, 385, 70, 158, 294, 400, 288, 80, 385, 304, 232, 345, 235, 374}

20

Returns: 0
{88, 204, 336, 326, 445, 243, 478, 308, 117, 224, 324, 229, 249, 44, 270, 395, 280, 94, 143, 189, 86, 258, 77, 113, 375, 161, 478, 307, 91, 126, 176, 294, 467, 95, 283, 230, 247, 495, 373, 15, 112, 166, 213, 337, 158, 261, 426, 153, 225, 488, 315, 339, 145, 272, 121, 334, 194, 121, 43, 319, 472, 312, 140, 155, 312, 439, 189, 231, 194, 64, 38, 324, 375, 69, 44, 499, 101, 350, 457, 70, 476, 95, 226, 50, 191, 164, 244, 257, 4, 399, 227, 157, 301, 278, 399, 370, 67, 189, 73, 146, 348, 312, 109, 344, 402, 2, 448, 170, 261, 125, 445, 326, 118, 257, 54, 366, 437, 465, 45, 489, 72, 111, 93, 101, 363, 304, 455, 347, 212, 162, 39, 332, 76, 245, 400, 299, 488, 121, 183, 170, 351, 477, 325, 130, 229, 415, 1, 351, 320, 137, 457, 45, 387, 39, 186, 286, 190, 266, 398, 468, 96, 361, 183, 376, 297, 417, 91, 466, 303, 481, 381, 255, 92, 123, 19, 62, 128, 290, 295, 433, 30, 254, 407, 322, 222, 75, 53, 205, 389, 158, 74, 385, 449, 322, 258, 464, 489, 105, 308, 235}

50

Returns: 1
{93, 21, 27, 164, 425, 259, 418, 480, 345, 214, 362, 67, 160, 99, 209, 48, 499, 54, 110, 432, 9, 92, 84, 487, 52, 237, 229, 98, 158, 119, 359, 74, 206, 412, 117, 394, 143, 262, 430, 231, 462, 54, 302, 135, 112, 124, 214, 118, 196, 236, 162, 367, 133, 42, 234, 34, 368, 139, 381, 79, 263, 499, 365, 235, 309, 495, 3, 210, 461, 454, 447, 483, 287, 263, 471, 154, 17, 486, 327, 164, 297, 198, 484, 91, 493, 438, 408, 41, 188, 487, 432, 37, 300, 406, 71, 191, 446, 224, 146, 153, 423, 186, 399, 97, 344, 418, 352, 263, 295, 203, 229, 343, 395, 492, 374, 1, 452, 272, 252, 445, 393, 203, 178, 156, 414, 116, 94, 59, 435, 254, 321, 88, 18, 292, 290, 462, 124, 485, 398, 282, 38, 15, 270, 459, 296, 98, 48, 80, 156, 367, 496, 141, 145, 367, 412, 430, 150, 244, 484, 322, 328, 6, 119, 358, 280, 283, 212, 258, 164, 458, 470, 453, 293, 243, 350, 439, 95, 319, 171, 132, 381, 275, 237, 5, 353, 410, 170, 493, 496, 131, 169, 421, 9, 475, 458, 190, 332, 287, 163, 262}

80

Returns: 3
{458, 392, 201, 117, 345, 127, 198, 318, 126, 194, 249, 481, 492, 335, 211, 446, 270, 474, 136, 164, 433, 341, 74, 231, 150, 204, 64, 40, 274, 219, 254, 261, 423, 352, 20, 67, 275, 472, 363, 310, 96, 411, 39, 326, 52, 335, 453, 393, 292, 422, 291, 175, 231, 265, 381, 48, 263, 428, 307, 1, 245, 86, 98, 417, 309, 217, 28, 280, 299, 107, 387, 414, 301, 350, 265, 220, 353, 228, 312, 310, 402, 472, 57, 98, 115, 86, 462, 28, 145, 180, 330, 103, 104, 263, 192, 67, 135, 477, 437, 299, 495, 167, 255, 497, 312, 217, 446, 61, 103, 208, 42, 356, 332, 155, 296, 333, 450, 227, 335, 125, 308, 447, 490, 380, 55, 357, 417, 172, 407, 235, 369, 68, 149, 66, 137, 271, 81, 211, 352, 388, 12, 296, 355, 450, 88, 129, 385, 494, 348, 433, 372, 419, 486, 423, 394, 250, 119, 235, 218, 425, 105, 450, 441, 356, 409, 497, 450, 185, 146, 240, 236, 225, 458, 354, 202, 481, 256, 400, 9, 410, 392, 143, 32, 446, 363, 473, 494, 154, 182, 347, 157, 332, 103, 287, 485, 2, 419, 439, 138, 131}

97

Returns: 6
{50, 10, 25, 19, 21, 12, 11, 9, 38, 38, 17, 38, 10, 41, 12, 2, 13, 38, 33, 12, 33, 5, 44, 36, 2, 3, 45, 40, 50, 36, 5, 3, 14, 1, 12, 11, 1, 42, 36, 15, 20, 17, 26, 43, 28, 22, 38, 21, 36, 31, 37, 43, 21, 25, 14, 31, 6, 45, 11, 22, 41, 31, 15, 27, 8, 47, 24, 35, 40, 1, 14, 4, 4, 28, 39, 4, 19, 21, 36, 45, 14, 29, 48, 50, 50, 20, 16, 25, 39, 26, 45, 18, 48, 39, 42, 48, 24, 26, 29, 49, 15, 42, 20, 20, 42, 23, 24, 17, 24, 5, 18, 43, 12, 45, 24, 19, 29, 27, 30, 3, 2, 38, 28, 16, 36, 10, 19, 25, 12, 48, 29, 39, 9, 48, 34, 41, 1, 36, 37, 5, 48, 22, 5, 25, 3, 10, 15, 8, 12, 11, 20, 36, 13, 39, 32, 9, 13, 31, 39, 33, 35, 22, 37, 9, 48, 9, 22, 2, 23, 13, 3, 45, 20, 3, 13, 37, 10, 25, 25, 4, 2, 19, 49, 32, 17, 3, 35, 17, 48, 21, 3, 19, 15, 12, 45, 12, 15, 32, 28, 31, 22, 32, 3, 29, 18, 50, 43, 44, 14, 44, 31, 5, 20, 21, 32, 3, 21, 10, 14, 12, 4, 49, 13, 48, 10, 6, 10, 37, 7, 31, 41, 24, 15, 25, 33, 5, 32, 40, 22, 32, 28, 37, 5, 23, 17, 2, 35, 22, 6, 37, 24, 2, 26, 28, 17, 38, 40, 5, 10, 15, 40, 50, 50, 32, 25, 37, 10, 23, 42, 2, 2, 1, 11, 18, 27, 4, 28, 27, 6, 16, 46, 12, 2, 26, 23, 5, 47, 29, 24, 6, 46, 7, 21, 39, 14, 24, 30, 41, 2, 46, 24, 43, 21, 28, 10, 33, 21, 7, 6, 13, 17, 1, 9, 40, 9, 13, 26, 48, 28, 10, 50, 3, 17, 7, 34, 27, 19, 13, 28, 23, 14, 14, 44, 7, 43, 48, 7, 34, 24, 3, 8, 21, 41, 1, 21, 38, 8, 46, 35, 7, 22, 42, 28, 35, 40, 24, 24, 5, 26, 24, 24, 25, 13, 42, 45, 46, 33, 47, 43, 8, 47, 26, 21, 11, 29, 9, 41, 30, 31, 45, 49, 34, 14, 1, 41, 7, 12, 12, 9, 34, 28, 31, 14, 7, 11, 19, 32, 25, 15, 44, 10, 2, 29, 10, 33, 26, 6, 30, 13, 44, 45, 47, 25, 16, 30, 42, 2, 26, 25, 35, 22, 9, 22, 1, 25, 25, 8, 42, 36, 6, 8, 47, 27, 37, 23, 14, 24, 19, 25, 30, 43, 11, 9, 47, 46, 23, 5, 11, 16, 22, 48, 21, 22, 6, 44, 6, 20, 49, 46, 2, 8, 27, 50, 8, 41, 21, 31, 8, 29, 38, 49, 13, 49, 37, 28, 26, 5, 34, 43, 10, 35, 31, 41, 26, 42, 31, 22, 11, 26, 9, 43, 42, 1, 39, 29, 11, 18, 38, 10, 49}

5

Returns: 0
{9, 38, 42, 5, 19, 33, 36, 31, 41, 42, 21, 17, 10, 40, 11, 47, 6, 34, 34, 47, 18, 12, 31, 11, 7, 6, 26, 10, 37, 17, 44, 41, 28, 14, 6, 3, 35, 46, 16, 30, 23, 47, 1, 20, 18, 10, 6, 43, 33, 31, 26, 40, 16, 15, 33, 3, 8, 2, 50, 17, 15, 39, 49, 39, 50, 23, 42, 2, 38, 17, 45, 2, 3, 2, 30, 5, 19, 4, 33, 41, 39, 47, 29, 21, 47, 34, 9, 47, 46, 30, 18, 48, 27, 33, 33, 4, 10, 11, 7, 45, 22, 36, 5, 4, 24, 20, 25, 23, 18, 1, 41, 19, 9, 1, 9, 26, 6, 26, 31, 43, 46, 30, 50, 10, 30, 8, 30, 28, 32, 25, 15, 45, 16, 47, 38, 24, 22, 13, 3, 44, 35, 3, 23, 20, 2, 48, 34, 2, 42, 47, 6, 35, 13, 24, 41, 21, 40, 2, 48, 1, 10, 44, 33, 50, 19, 41, 32, 42, 28, 16, 8, 4, 18, 21, 27, 26, 12, 17, 11, 20, 23, 9, 12, 6, 16, 33, 44, 39, 3, 35, 44, 46, 10, 11, 33, 35, 48, 36, 41, 14, 28, 32, 44, 5, 25, 38, 27, 41, 35, 7, 29, 36, 45, 16, 47, 19, 25, 13, 25, 34, 21, 34, 30, 47, 50, 21, 15, 11, 49, 6, 24, 6, 13, 32, 19, 38, 50, 42, 9, 35, 1, 14, 42, 1, 11, 21, 6, 35, 38, 14, 33, 38, 16, 7, 44, 43, 23, 43, 17, 37, 47, 11, 3, 32, 40, 44, 6, 20, 16, 50, 43, 4, 31, 21, 9, 5, 2, 23, 47, 43, 12, 3, 33, 42, 46, 21, 16, 5, 31, 31, 7, 13, 44, 13, 11, 34, 26, 13, 49, 13, 49, 16, 43, 6, 46, 41, 34, 29, 41, 25, 14, 23, 40, 5, 34, 48, 40, 26, 5, 42, 10, 50, 41, 25, 36, 23, 24, 46, 14, 30, 37, 49, 33, 37, 32, 42, 20, 44, 3, 34, 27, 45, 2, 23, 21, 36, 35, 9, 29, 33, 1, 43, 13, 41, 11, 48, 9, 30, 47, 21, 45, 49, 16, 7, 16, 41, 22, 44, 36, 48, 27, 33, 17, 35, 26, 19, 4, 7, 28, 6, 43, 1, 24, 13, 4, 26, 37, 11, 45, 4, 32, 50, 34, 17, 23, 47, 48, 22, 42, 10, 44, 20, 26, 35, 19, 5, 20, 15, 45, 6, 19, 46, 32, 10, 42, 1, 22, 26, 3, 47, 42, 36, 28, 36, 13, 11, 40, 36, 29, 37, 5, 44, 22, 11, 16, 26, 33, 18, 23, 2, 32, 22, 12, 11, 12, 35, 24, 12, 41, 11, 50, 19, 37, 6, 44, 21, 16, 4, 41, 50, 31, 25, 34, 36, 45, 25, 3, 44, 16, 32, 4, 6, 13, 3, 49, 49, 28, 19, 24, 37, 20, 28, 48, 35, 1, 19, 45, 27, 44, 37, 46, 4, 39, 28, 11, 22, 9, 46, 28, 13}

55

Returns: 0
{13, 16, 50, 20, 16, 1, 7, 50, 36, 30, 12, 34, 8, 21, 27, 40, 16, 15, 40, 16, 30, 15, 18, 6, 15, 23, 14, 5, 15, 18, 22, 48, 41, 1, 26, 36, 3, 38, 48, 32, 44, 2, 15, 26, 25, 14, 9, 46, 46, 43, 12, 27, 21, 7, 10, 48, 46, 17, 48, 19, 18, 7, 36, 5, 4, 8, 41, 24, 8, 5, 6, 39, 28, 3, 41, 12, 20, 44, 48, 21, 7, 39, 16, 20, 27, 28, 33, 23, 2, 49, 47, 8, 48, 50, 47, 46, 48, 46, 18, 34, 46, 49, 19, 14, 8, 33, 41, 38, 48, 8, 13, 6, 33, 31, 45, 13, 39, 49, 27, 35, 42, 21, 16, 37, 45, 26, 15, 1, 7, 23, 19, 46, 38, 43, 25, 38, 32, 45, 28, 48, 8, 35, 40, 14, 26, 49, 48, 10, 9, 46, 10, 38, 40, 38, 16, 24, 2, 33, 12, 10, 39, 6, 40, 49, 13, 39, 41, 15, 21, 22, 32, 41, 34, 38, 38, 19, 2, 24, 11, 42, 34, 5, 25, 34, 45, 9, 8, 34, 1, 36, 24, 35, 45, 11, 7, 35, 12, 12, 23, 8, 38, 15, 19, 36, 16, 24, 19, 45, 5, 7, 11, 14, 2, 38, 22, 47, 32, 9, 36, 13, 38, 39, 30, 21, 42, 2, 4, 42, 38, 38, 26, 1, 3, 11, 39, 2, 23, 38, 39, 46, 10, 40, 40, 11, 22, 49, 9, 6, 35, 40, 12, 34, 18, 9, 10, 48, 39, 3, 12, 44, 18, 3, 6, 29, 28, 7, 45, 29, 41, 7, 10, 42, 26, 5, 4, 39, 47, 41, 34, 17, 27, 18, 27, 24, 16, 2, 24, 48, 30, 15, 45, 18, 13, 24, 30, 30, 23, 28, 31, 33, 18, 26, 29, 13, 22, 23, 22, 20, 23, 11, 4, 34, 12, 10, 41, 36, 21, 45, 5, 11, 41, 41, 20, 27, 49, 36, 18, 40, 49, 1, 24, 28, 28, 17, 48, 28, 20, 42, 25, 7, 11, 42, 45, 19, 17, 20, 6, 34, 5, 24, 1, 36, 18, 44, 3, 34, 14, 25, 38, 7, 15, 45, 2, 4, 10, 6, 16, 9, 42, 1, 44, 40, 15, 6, 7, 12, 11, 13, 7, 26, 46, 9, 11, 2, 38, 15, 1, 22, 39, 48, 31, 27, 30, 43, 9, 5, 44, 5, 13, 22, 47, 20, 46, 49, 5, 16, 25, 17, 11, 21, 28, 39, 40, 25, 5, 31, 16, 23, 25, 42, 29, 34, 6, 8, 17, 32, 10, 29, 2, 23, 44, 11, 40, 44, 35, 4, 16, 48, 25, 21, 25, 11, 39, 29, 20, 27, 14, 11, 44, 19, 21, 8, 39, 1, 9, 41, 7, 46, 36, 18, 9, 33, 26, 14, 43, 29, 44, 44, 17, 13, 28, 28, 49, 46, 6, 13, 8, 37, 7, 36, 32, 3, 35, 39, 24, 12, 18, 29, 46, 30, 33, 6, 3, 45, 10, 30, 50, 17, 44, 7}

155

Returns: 0
{16, 4, 23, 29, 15, 49, 21, 40, 39, 4, 40, 15, 5, 50, 19, 8, 21, 31, 31, 50, 11, 1, 31, 13, 45, 43, 50, 24, 10, 9, 40, 50, 39, 9, 10, 28, 47, 21, 13, 30, 32, 39, 27, 45, 26, 28, 49, 18, 18, 17, 32, 31, 20, 34, 35, 4, 29, 44, 35, 33, 17, 21, 22, 14, 3, 17, 1, 49, 8, 41, 7, 29, 26, 34, 20, 15, 40, 1, 17, 30, 43, 48, 8, 50, 44, 5, 6, 20, 3, 21, 37, 1, 39, 29, 20, 11, 44, 9, 11, 31, 40, 7, 21, 17, 47, 9, 33, 25, 8, 10, 43, 11, 33, 40, 39, 38, 44, 39, 4, 29, 22, 42, 46, 46, 7, 24, 5, 21, 42, 24, 42, 44, 47, 17, 33, 24, 17, 34, 31, 39, 35, 46, 17, 42, 21, 5, 30, 36, 17, 42, 28, 48, 22, 33, 10, 28, 14, 48, 1, 10, 3, 46, 47, 47, 30, 13, 7, 42, 45, 7, 26, 41, 14, 21, 33, 21, 20, 2, 17, 35, 20, 23, 1, 30, 2, 6, 1, 3, 25, 14, 23, 27, 31, 12, 11, 8, 2, 29, 46, 21, 36, 14, 46, 4, 27, 5, 49, 20, 29, 6, 48, 17, 21, 16, 11, 28, 38, 17, 50, 43, 18, 42, 32, 34, 4, 26, 13, 47, 29, 36, 45, 50, 30, 36, 24, 14, 38, 22, 28, 44, 8, 15, 11, 26, 26, 10, 15, 34, 29, 32, 12, 1, 7, 47, 31, 29, 30, 12, 21, 14, 46, 35, 32, 22, 8, 45, 23, 30, 43, 35, 31, 18, 38, 42, 38, 10, 44, 18, 21, 27, 17, 18, 4, 27, 4, 18, 16, 16, 29, 3, 49, 7, 7, 5, 9, 38, 2, 36, 18, 2, 5, 48, 31, 29, 29, 49, 5, 11, 33, 36, 25, 17, 30, 2, 38, 15, 21, 19, 2, 34, 46, 40, 43, 47, 37, 22, 41, 17, 1, 41, 37, 33, 10, 4, 46, 43, 4, 16, 32, 33, 11, 6, 10, 36, 45, 4, 6, 49, 46, 37, 29, 27, 24, 16, 39, 28, 38, 42, 36, 17, 34, 39, 43, 30, 34, 6, 41, 6, 2, 1, 40, 15, 41, 42, 28, 18, 10, 17, 49, 18, 40, 45, 48, 1, 45, 31, 18, 11, 12, 8, 17, 48, 45, 43, 27, 30, 4, 28, 6, 45, 9, 12, 22, 5, 29, 8, 39, 49, 19, 45, 30, 9, 11, 47, 8, 6, 38, 1, 26, 42, 7, 10, 13, 16, 3, 25, 36, 47, 20, 5, 25, 41, 30, 3, 35, 28, 11, 27, 43, 33, 46, 2, 35, 18, 30, 14, 23, 34, 4, 9, 6, 15, 23, 12, 15, 49, 4, 7, 44, 20, 13, 42, 9, 33, 46, 24, 34, 40, 21, 23, 33, 25, 3, 14, 48, 40, 17, 39, 41, 12, 15, 9, 2, 48, 34, 47, 34, 31, 22, 22, 48, 17, 41, 46, 9, 4, 21, 28, 37, 45}

195

Returns: 0
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10

Returns: 0
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110

Returns: 0
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210

Returns: 0
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310

Returns: 1
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410

Returns: 1
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36

Returns: 21614670
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324473176, 673683150, 367542436, 572114527, 698608292, 61267173, 838658848, 904731161, 179752410, 713961709, 969572782, 367645378, 433873259, 566891956, 552569524, 977967961, 480596979, 309699086, 117044598, 173420292, 406807862, 755058318, 23196935, 23348432, 384554095, 108377318, 408662413, 880774517, 326700162, 623024995, 74938499, 461746233, 94454321, 619428107, 425128884, 322465546, 443591988, 211463032, 200379099, 428158961, 71571136, 16003365, 434193645, 695183730, 576971341, 123756107, 784755209, 284498996, 818919512, 209318793, 173943918, 127007705, 649919279, 458957255, 646727145, 577150275, 694622076, 10726297, 176110564, 47926432, 467490864, 224766940, 692999586, 738306866, 275649484, 83432509, 819272734, 851852894, 25444654, 437950919, 181534240, 425381447, 738922985, 299217348, 889982776, 491962208, 175738659, 394113940, 650579980, 939060246, 436157035, 822841951, 417497217, 508671336, 492057026, 336884981, 419505584, 908640561, 268313443, 510824257, 372551428, 843472977, 691242454, 546643458, 682846928, 36994773, 888900627, 106339713, 183176258, 45286688, 776077592, 213475739, 315801897, 967008124, 86838727, 947783047, 829544101, 343721912, 705527606, 71683955, 851177436, 874372078, 762622715, 121218261, 631038861, 629301314, 842892261, 235091848, 319293985, 801124596, 602356582, 205866942, 296021964, 87376946, 766840365, 398012896, 433216798, 634205357, 771223035, 143459514, 323375710, 268496277, 238587457, 494384808, 649471656, 294486230, 33541425, 366894809, 978430518, 536095275, 533820373, 71377913, 325976994, 789200370, 136753333, 580207210, 845087878, 241038975, 504406915, 411195398, 970026387, 73129026, 210038239, 713023785, 571159250, 642802621, 301967317, 636743946, 262370605, 460380237, 293334368, 192333010, 467725873, 73843530, 495950658, 919993029, 627332105, 613689640, 314419222, 768991544, 607977227, 165039644, 187790582, 102606641, 867910542, 571792836, 59224606, 547575753, 875804717, 419038158, 480685026, 167912385, 209620677, 406048793, 967239125, 706805049, 799535812, 469831294, 712079905, 816581180, 84558288, 33810939, 484591297, 491699433, 258108618, 327216919, 255524387, 788909686, 397415786, 350162040, 434424289, 535503195, 498730391, 446084819, 130687005, 69289634, 14661170, 486322800, 628324001, 955465603, 992535133, 27728048, 213376658, 976590201, 506362116, 611205396, 334217950, 881898978}

195

Returns: 497656
{801272865, 643492010, 912098168, 450820452, 533960976, 158323907, 675974376, 320243248, 782404002, 585520798, 342895425, 756741743, 470150534, 719164865, 374486183, 257771915, 40315459, 982775762, 552373898, 36980567, 14014380, 400509928, 678967766, 314100162, 86847500, 552422117, 238269910, 666818328, 344824772, 791121337, 958096796, 789187319, 105533921, 885408641, 911648921, 411364888, 51053415, 296194112, 643289075, 596372137, 897341749, 831422173, 155380462, 597489766, 272309991, 86656235, 116502043, 79769342, 987516253, 105735964, 449083660, 901043037, 925699665, 787925121, 100861651, 60119929, 770838843, 939395566, 114763151, 279451569, 553932122, 756740081, 922712111, 213809436, 257693756, 660945765, 932588523, 760516032, 32003829, 30544738, 130708034, 447404697, 465649286, 454464546, 777515887, 455391980, 263390500, 66577869, 640334456, 646843824, 76830076, 618993750, 440395008, 224355970, 948352204, 52516827, 901148417, 159423676, 324971048, 913870808, 33199673, 626139632, 715500956, 847258157, 857945298, 76080814, 882976228, 362222135, 242542756, 686488894, 92479524, 76119997, 186470144, 280122442, 984146885, 563889450, 202170916, 112045891, 333927384, 658808637, 254676966, 877645633, 473509174, 19828710, 949327578, 511958126, 801869566, 160581326, 133610308, 836187257, 520845088, 712649066, 687704281, 119644173, 42111569, 909217909, 209577183, 747115072, 409005409, 960634858, 277000210, 266782156, 631120838, 861384196, 626434095, 627777264, 576160081, 189733002, 135535602, 241634376, 343453321, 126195505, 17547498, 584175276, 62000121, 815269632, 3681830, 321248392, 444039299, 545051686, 606381675, 731850127, 404033418, 997156635, 336193739, 816922848, 520081714, 412183860, 862691376, 8564679, 441894353, 186990613, 14260698, 897784355, 121191976, 101082944, 293225730, 392523834, 462650013, 310184883, 400577418, 244897461, 85134480, 331570822, 844806170, 780050739, 156057202, 58068629, 137061440, 198491414, 818871722, 598101537, 929727186, 939838470, 993618460, 134551308, 598001882, 100825206, 351627480, 305300749, 254315698, 11070731, 336029623, 258091433, 738493136, 526474637, 197091793, 799140149, 384178782, 360882857, 352993899, 763671607, 845448450, 540192619, 342407123, 518464643, 837627021, 173066465, 722532388, 23984677, 491933346, 942216024, 945369507, 84476876, 252673444, 510560331, 756889199, 926512711, 619175604, 625710810, 691465609, 228762166, 839572510, 731271089, 816881162, 536876382, 940272634, 354185587, 133587923, 202579354, 171239134, 543105575, 869098886, 835925915, 211067413, 532541264, 548547879, 472569887, 601189066, 172057638, 452806796, 831391797, 111538312, 837380264, 194239870, 426574156, 48872442, 614986643, 677392252, 130206639, 12534222, 485795904, 65924817, 781781335, 487304738, 999722809, 2182125, 486249899, 48439386, 503662984, 970352013, 756252205, 926049085, 980312478, 114305921, 163068928, 485176144, 20437840, 416805328, 754156554, 54549811, 364468538, 567892632, 568223444, 666716393, 941119094, 684527526, 512152351, 915971790, 565332947, 278166139, 15098322, 129706377, 83247131, 611723217, 943102533, 65013584, 375139490, 524354065, 941535325, 26679849, 109900851, 806627815, 855671284, 627120288, 591101781, 104122690, 387822233, 946827061, 573152141, 619051854, 733795054, 566908407, 200748536, 848618134, 269245978, 418871412, 896047757, 25519290, 86304668, 238464702, 421827772, 754576312, 872955636, 973874232, 390329664, 357881009, 21320109, 377150592, 714075481, 78386636, 748565038, 7974875, 94110569, 158495916, 593680980, 292617686, 317055795, 304007653, 257138398, 409135494, 798648300, 56012957, 438293653, 280643675, 116503634, 60657519, 338244041, 504539490, 512182193, 947910798, 262009665, 78528695, 25064819, 984570787, 238145480, 349485594, 540456134, 568365660, 568152653, 801697241, 163450045, 605867743, 939807901, 477373544, 79556489, 917809705, 496978593, 156206953, 965277360, 909305926, 637866833, 402654273, 730988927, 233919305, 130019547, 132245086, 253016557, 780417861, 610208974, 284361754, 953677573, 256919431, 413408216, 754652690, 539915704, 3472979, 436266818, 416584151, 755924872, 361964432, 438244730, 317187691, 664144317, 15529904, 79129924, 350582391, 805538232, 819394536, 253784706, 981915260, 347944677, 773213890, 179832107, 51257092, 273644469, 922197010, 413252585, 752978805, 904296497, 772769790, 425289917, 664867512, 868731944, 913204143, 852382169, 985900874, 506517173, 983845885, 21532344, 712493349, 129321675, 16439778, 350376449, 119209927, 719441472, 91225027, 535423462, 858808567, 305466884, 156032876, 67818740, 810048293, 842124233, 814420348, 238398067, 596558136, 662173893, 566695648, 579015497, 560971475, 913832384, 466891060, 306909305, 88852406, 811461559, 229903973, 159793239, 538671243, 501253593, 24760226, 607015251, 769802602, 397041527, 287525804, 710081311, 911912113, 336825990, 876954712, 456148169, 930417235, 536517644, 59637879, 940725516, 332380542, 118014285, 128261558, 36762170, 412170137, 860241632, 437690519, 547653191, 251011174, 923969257, 529647430, 250881969, 586020835, 142535239, 589586068, 737922506, 372552453, 96793001, 877486159, 354020837, 295812289, 501644594, 685939227, 453082689, 984155649, 529631246, 256676042, 956993739, 719755095, 323711443, 844576987, 15097376, 302830045, 655326480, 143800028, 383441973, 733901796, 901209486, 888465234, 715377471, 867972099, 319515810, 114707942, 709353941, 162358101, 258854375, 193289073, 378701390, 20620215, 108628544, 343890035, 318422217, 265230451, 827805705, 109633992, 147534662, 687447847, 263137761, 182557776, 310860454, 420133279, 702536067, 424277740, 740596063, 1570367, 819538674, 75671895, 854115381, 633399232, 80216296, 352880726, 10588195, 736051975, 564882971, 748451396, 126978551, 470562389, 198853284, 498783330, 869241253, 230611592, 47479668, 202585145, 149889692, 239907477, 20718149, 307141680, 816985344, 67325963, 124447297, 113047779, 665776422, 139039414, 826379032, 63495682, 902816383, 143080848, 881141567, 505114411, 686618265, 122289009, 869479247, 458023875, 320244697, 119996496, 616453995, 25452458, 24917217, 489435679, 527556817, 255428105, 37850518, 804221497, 877647655, 103169492, 149624094, 211100365, 631266894, 811296664, 474785136, 863748675, 974919345, 195821050, 215773450, 479730174, 243704529, 940416575, 68234177, 588838181, 874871430, 921902374, 582918074, 861835246, 98665115}

294

Returns: 11070458
{237892013, 602053748, 775493103, 489061853, 455439795, 163050921, 26087819, 179883315, 181297899, 448187636, 245795386, 902964590, 399045510, 382853182, 656390207, 983608464, 614411002, 24733002, 396616452, 102026211, 683210925, 74660976, 887319610, 17843280, 166278794, 461152528, 760610801, 902737171, 45094693, 419040771, 608239257, 611931614, 73652460, 749724386, 801230129, 116042641, 258378029, 326262008, 884919294, 60199114, 710535959, 998902461, 589722545, 504806767, 202886940, 602521080, 546380068, 343320141, 700176733, 36133116, 177535610, 801593900, 820338523, 781159380, 324862619, 136731586, 347824625, 661728571, 232002739, 874881115, 624902893, 3567544, 745310482, 651732872, 993364829, 954467584, 266539519, 14604429, 417160904, 919918210, 349556284, 702114429, 912788383, 280112162, 749078774, 562683589, 202642574, 301927553, 996461020, 210794102, 889648705, 396162102, 928280348, 339047045, 100199256, 936270277, 640029023, 322707847, 566422267, 308889779, 199991025, 27809121, 996726095, 554953397, 537556460, 113581005, 976297212, 532700934, 13157936, 159189471, 996907559, 158734641, 755605469, 896302110, 550247270, 105496594, 293105236, 648389217, 13634652, 445603893, 723365833, 333618869, 880133140, 797751317, 117043886, 686303891, 796607262, 825600038, 650681438, 696814664, 400266762, 177027460, 31138922, 32142400, 675387025, 49379799, 743843027, 765657662, 197320764, 78089833, 455944875, 705433564, 682872933, 767869330, 360284178, 821919959, 737859310, 473801985, 20275102, 75428031, 865240576, 245095292, 107641269, 130428255, 153828324, 153877373, 85214973, 617008935, 343003871, 973843825, 839312699, 842581647, 667893771, 456556131, 422890797, 667641784, 700978504, 338231908, 319557161, 814912938, 878259906, 977300624, 269950664, 860791073, 621840249, 638563765, 339945714, 793304515, 274682452, 210939623, 840127896, 282702097, 358165552, 460586044, 818199847, 710017712, 569800142, 342633602, 293687516, 263596231, 574423542, 594791368, 152131609, 140496365, 862415129, 423038870, 725813466, 52433689, 359503522, 1304135, 956723930, 863932466, 660784384, 144071421, 174798007, 214120380, 414592330, 218975800, 248333698, 158900828, 599960216, 670089890, 143624105, 159351464, 22507416, 59586175, 840995388, 96186728, 148239113, 363159362, 31312856, 281802034, 690825436, 385820387, 682460911, 331399215, 152519978, 644441558, 43161379, 289259235, 678584768, 891867756, 142021567, 820972586, 973579898, 519339336, 834532675, 511901922, 933695207, 725995008, 232900756, 965025443, 63491467, 42252830, 405265245, 115105330, 458641281, 166733721, 138623195, 62067636, 522961155, 188496045, 801164974, 929398685, 283574318}

98

Returns: 4623400
{984338405, 548276440, 878702491, 209207137, 513519582, 20084390, 306847552, 359489208, 321226164, 10929004, 180105554, 402881079, 147702571, 180383888, 152529657, 377761941, 562849422, 371147146, 320381572, 61795245, 199395076, 921435233, 654714646, 352274586, 752332350, 287007497, 752959631, 709922208, 858582997, 852567777, 688606236, 474215651, 507940228, 295546564, 180530830, 974312212, 132339715, 677140989, 54430274, 811556289, 295595407, 734933305, 706160080, 384403250, 419941774, 727014183, 434071276, 526928125, 213030804, 78812898, 579543273, 267973674, 405512586, 480869463, 777408373, 61239718, 973374175, 812356444, 886074961, 207991175, 384169512, 781162188, 41779268, 179015547, 264262340, 597189496, 87510837, 578154555, 658371421, 60141631, 655578150, 687313853, 406685322, 701493490, 59936750, 945931218, 679202994, 695475846, 297399889, 164946928, 531026025, 35125546, 763845174, 711281121, 413144336, 94965965, 656947413, 640090128, 375083395, 300690632, 465261765, 612839958, 683800163, 485085312, 827859963, 937675552, 34490322, 511667717, 796175677, 185272438, 357561760, 711066951, 359932171, 99784141, 638927191, 570079502, 244115972, 3902496, 435665605, 579609814, 936596814, 278832164, 642658074, 406838240, 712436128, 71062969, 581641785, 127803743, 255199686, 346402110, 46967584, 389426110, 627723857, 390406892, 628852409, 934181069, 126006171, 79601009, 921100523, 795656977, 50228132, 364737287, 551751238, 889183673, 635869663, 894442795, 416070210, 452985559, 113813135, 261077513, 189757810, 172852557, 304156976, 702907873, 384885438, 881725423, 693383627, 398731712, 436964606, 386256545, 473101404, 814670949, 135686725, 716092736, 916962705, 480413807, 66636657, 860393009, 107110874, 13408296, 969890506, 497433996, 409212583, 361922726, 349005388, 142177140, 843420598, 977609976, 252159924, 618511448}

25

Returns: 1155007
{467475794, 884785734, 537272910, 106532760, 499882358, 886737062, 849265859, 172907562, 322968026, 760589990, 201008061, 337647038, 956214412, 701226043, 95351614, 661937998, 80328325, 281472139, 790535107, 6041348, 986905284, 455805362, 426521192, 984287521, 671217141, 396230369, 27457013, 34995480, 25473565, 418460111, 963316138, 933502521, 983665030, 59534542, 933007431, 389861664, 314432244, 832289260, 507886501, 924092125, 244679404, 641536130, 162426998, 742841746, 979021003, 435046417, 793417909, 149677684, 506248191, 820495708, 215548917, 861897741, 272978197, 290714206, 614871519, 17428177, 200790906, 315563016, 131084940, 887087649, 411351389, 317953841, 37109737, 181171737, 8179442, 595915487, 260667937, 715315936, 635926269, 121487883, 513391797, 371873365, 469590631, 314224486, 124094711, 637700631, 323599298, 689252904, 723676418, 212367968, 205703732, 396317658, 650168230, 539829709, 106714372, 388513751, 367386385}

43

Returns: 37004476
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256

Returns: 4542142
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44

Returns: 647913
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172

Returns: 3921884
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357668702, 712367024, 524408505, 140269319, 854592947, 345330014, 583370122, 419133958, 777941485, 7031201, 976723850, 330241744, 924901092, 906511097, 235388512, 629704112, 324804296, 935788392, 281940944, 454556660, 991562651, 802396830, 433005031, 607835693, 19169822, 10045507, 953182654, 820357499, 462506213, 369447473, 589077573, 713159394, 405562934, 547528725, 335234972, 920042664, 804720582, 670674230, 89253829, 450286429, 573479405, 755653091, 83806813, 921020787, 402962428, 770086006, 943247266, 515701127, 69213272, 429434524, 516148596, 273348101, 603541066, 760245582, 116780222, 122162320, 671213059, 656438240, 791853666, 132176082, 205144057, 974022127, 475423363, 680085269, 39831181, 929824073}

187

Returns: 1611183
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751084113, 252870647, 397579191, 564636966, 551553640, 98320751, 513573901, 624832547, 384748861, 26904966, 248425915, 464374451, 440120069, 431420449, 208230489, 19975773, 795805076, 944897441, 128041579, 38326568, 429601534, 210002190, 771603038, 553847165, 38321191, 129741795, 488068054, 538106588, 931199866, 994490607, 806249361, 926154345, 155509680, 124202260, 378317266, 225233399, 510930253, 389073966, 950140390, 860339394, 458411295, 588151065, 57879714, 73883522, 683899575, 679677459, 556782006, 646363065, 42816285, 325930357, 939643657, 365409390, 720763659, 529013006, 70915462, 757923931, 9477685, 301903956, 823649930, 721855609, 189328083, 459759521, 719776066, 289678860, 668137310, 488249741, 776255641, 49198551, 73468459, 39733280, 186082938, 284256235, 383495211, 798797136, 943944983, 239797471, 837741234, 132526883, 638034912, 801356661, 13821583, 163530903, 113602909, 284512789, 518507369, 432344483, 268415822, 214342805, 790678210, 435116690, 818735374, 308678324, 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173838676, 110742103, 795314340, 659376532, 618222542, 63835218, 165685706, 930949060, 9128455, 513983698, 569820571, 769745026, 199825997, 622591639, 131562418, 86550697, 43059821, 331131024, 855745135, 358612105, 72368055, 935160528, 41938141, 433992579, 130109848, 207334866, 283828678, 397261821, 144553124, 477115737, 118007489, 902718306, 425843135, 439287342, 37973277, 996673400, 816766361, 451460899, 753139010, 974536786, 258121592, 292137513, 20172242, 759712857, 773214483, 87710787, 845279353, 714515400, 437767102, 32350983, 348193815, 466632183, 951654958, 382485642, 322945839, 494477800, 370795559, 721437932, 815669478, 118067197, 279212852, 228376279, 438598879, 722179203, 784105736, 634755423, 184474102, 51341479, 573851906, 171802801, 836847672, 721382986, 721764744, 334019267, 455001446, 486921516, 9225044, 682876430, 489383690, 512544377, 428138634, 92177921, 592546613, 69092784, 624135389, 114117520, 804101104, 395958368, 206883551, 847275692, 511031703, 588870622, 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523199669, 375261182, 539342139, 2517381, 440967766, 624971364, 228395896, 196153559, 32882869, 502928528, 606002872, 158575783, 68985373, 667803937, 322536965, 195612947, 389644709, 58627524, 859920439, 850845024, 952251407, 965591834, 749252421, 208196090, 742850472, 989783820, 635517590, 912273398, 147122362, 459534425, 643780146, 860242473, 693936403, 746577389, 952634105, 162120549, 166781589, 543166292, 324249674, 803695403, 284183405, 843726223, 543714658, 930690427, 287463868, 578527337, 146314502, 683552426, 505588319, 742084637, 806535516, 842453728, 733273861, 272425156, 490733483, 44463917, 934699204, 528196242, 162527128, 680617791, 658957202, 469597280, 603664507, 423238046, 529075444, 641317044, 894717572, 640926909, 555766833, 117661552, 665617005, 87205251, 699237720, 112137471, 3659662, 118332966, 539380325, 852803588, 397976547, 108602246}

284

Returns: 1485349
{622081931, 319129583, 462964601, 211746220, 615719597, 844827875, 625213187, 484970222, 379557265, 579883349, 691651222, 658325424, 84543347, 277626184, 817883586, 503070508, 76874942, 115431744, 67733453, 413606694, 497662518, 214765181, 73554249, 910633808, 34315579, 258092930, 446000428, 870485272, 109903998, 133651179, 439945197, 768543190, 145198526, 137919910, 872246321, 527648121, 716407119, 927332269, 935835627, 864388677, 508395298, 698502006, 248808912, 303661978, 219237195, 144522305, 457168482, 406773724, 249002143, 705910701, 703189028, 646043638, 29484046, 949970394, 299565776, 43672624, 43575668, 34804138, 393762704, 442696471, 686053763, 956428436, 240885352, 663545953, 468447481, 109921915, 821839701, 221017570, 317120468, 406386391, 37532006, 463009125, 508371188, 231498202, 544338481, 582949258, 119231393, 610346229, 914180271, 604951885, 75641335, 630729481, 367052527, 772436563, 511818001, 516958757, 600526718, 542632760, 812376813, 249566882, 86024016, 978980150, 104735565, 40785050, 15526877, 358626590, 279797056, 556355607, 990726560, 704174415, 738397948, 19891717, 211992852, 37863262, 67264901, 54846627, 894835597, 915924770, 247558346, 552392375, 809133057, 87654725, 929389254, 772143472, 224894381, 172593298, 610599116, 661409199, 318904862, 867713766, 690709388, 379601853, 548758664, 879128952, 542303843, 380035398, 136782659, 23163363, 274759884, 234155750, 46392272, 431666224, 350938339, 684241415, 623234346, 301932742, 38719603, 941913005, 870098010, 356750336, 512800651, 752138697, 936516330, 709537384, 364466789, 635570751, 477312791, 49235831, 858661032, 30557228, 842178187, 547146514, 802134710, 485536860, 370138583, 724287352, 825224215, 168892605, 591278195, 554486885, 274291440, 863517709, 103968477, 7289003, 703395229, 124229006, 865675347, 818555449, 689749189, 338924512, 125578597, 118198052, 43507320, 756103175, 509764968, 47509682, 843580489, 479026592, 805232394, 817193968, 301510643, 478647585, 377641117, 969974165, 898404295, 230038074, 554283263, 443407378, 608035503, 883566555, 262738001, 549261232, 232243379, 200914658, 50546655, 560502201, 339929699, 976098357, 316897393, 171626888, 331187448, 274276455, 328459150, 720784427, 941121978, 628546134, 561546235, 762098957, 982049331, 861679604, 890512202, 540071006, 696504134, 133393584, 545549011, 629838473, 722092301, 302131985, 567475483, 187861857, 495366863, 246927903, 894395586, 314883899, 164363135, 672502209, 240058920, 80722209, 76002404, 70254401, 912514510, 658760443, 325375945, 223484413, 16906049, 256107420, 947284401, 823819234, 725045741, 964678538, 96426158, 498688174, 250998831, 512386774, 695869028, 751084985, 776742347, 118445389, 366059057, 916772349, 49475814, 809487775, 359824865, 169786458}

108

Returns: 5796119
{311156928, 962069890, 272809316, 72456142, 311500816, 815312032, 19729379, 594322161, 974743065, 530759165, 773694330, 410544385, 597169857, 47768043, 960499241, 54082481, 927704372, 425796449, 923695085, 315993555, 589489289, 131976054, 21214228, 567312153, 537232361, 132963962, 966063944, 305425164, 87558728, 193247187, 612603124, 30617907, 376153551, 858415199, 409095474, 130999460, 657189125, 367344413, 68281083, 621214100, 337428827, 949665839, 827949458, 363590860, 183125999, 702302340, 114719628, 116766324, 727394975, 888039393, 12417329, 227621611, 197620784, 305688583, 761423093, 128193317, 11276326, 587521841, 517831326, 11625683, 650691628, 790268440, 119929253, 978643443, 5602713, 182255797, 30056071, 710796654, 720627825, 817633592, 646116528, 364381950, 80937438, 697479737, 799086685, 643527492, 744561560, 625052336, 189623940, 958321792, 748794452, 469968928, 781809012, 183933547, 522226474, 839964247, 337557017, 624178193, 137723487, 440610709, 722277809, 835957638, 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952691279, 437759475, 640600716, 501723073, 138518521, 92361930, 84658884, 52653642, 473089142, 719514941, 358415642, 835035153, 858082720, 785047847, 833943573, 24887235, 125783006, 166336086, 102702774, 54951908, 155894987, 956344397, 182620437, 456207238, 102039488, 4819129, 501663113, 301946462, 990717878, 850041479, 6227107, 175178067, 972393911, 113803933, 727216352, 645743421, 300130293, 126115259, 894248752, 536222777, 84871360, 336927301, 711066940, 858253675, 686328448, 656349137, 13716468, 391907991, 733819953, 593098601, 187735785, 808224133, 752821901, 695363415, 728235330, 695556520, 828408909, 451800366, 523305756, 332535406, 503038081, 747970441, 946712771, 567953921, 545886615, 688873622, 350025184, 546840083, 243209100, 28458028, 388063727, 884555870, 962981363, 557848529, 144112455, 91386796, 251162164, 354107589, 316135919, 562437034, 451169719, 394543286, 443414620, 522786927, 64597747, 988302490, 66595344, 70686222, 518137705, 663252578, 503089520, 6442685, 96416801, 33918713, 615778758, 661924380, 499237788, 121170797, 55538989, 639444942, 704388716, 221166795, 466285300, 730778744, 97871965, 281352951, 676900734, 111556084, 188012776, 625180610, 282944319, 31031632, 25358911, 763557005, 982052860, 715155101, 416833300, 118645154, 78745648, 724402047, 100150647, 308705510, 635640996, 423993880, 120991430, 355975549, 113859465, 886628059, 292900877, 756577802, 730455314, 34389613, 961155883, 541825945, 557361191, 96730444, 923203137, 43077146, 640225808, 558084203, 110459004, 704469574, 24167006, 7237158, 801540966, 885343677, 208886236, 712324164, 143964709, 997609257, 455346736, 643722967, 211670147, 304789181, 985801307, 377143141, 235221240, 450345595, 316250894, 538933621, 131713403, 168705586, 526863455, 463333888, 915849914, 716820905, 491349756, 244182085, 533931106, 830533729, 829213612, 731505909, 3053496, 600030921, 606483670, 747088026, 53919898, 447119439, 956796151, 713074785, 262598719, 433166197, 302761174, 333077625, 771093936, 524451662, 171143744, 155756839, 145218712, 556478494, 481172652, 433270911, 551454741, 542243910, 47047504, 41982601, 97673184, 575216820, 655831370, 121214958, 716521591, 194291988, 103296612, 869772815, 925733050, 806754143, 176551304, 522127877, 621046094, 310997066, 47434210, 706598074, 524778243, 944498308, 674512606, 5208705, 211151412, 259794844, 320422423, 259700575, 375290071, 793383534, 981249411, 963133402, 96517767, 172711258, 259536227, 138297617, 577528745, 304885570, 251515864, 148730707, 151856657, 300112621, 93517785, 951683314, 390527140, 722414151, 784333238, 492296200, 401565276, 246577023, 243451946}

235

Returns: 962456
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413

Returns: 2660133
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223021298, 285395130}

155

Returns: 270549
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612086613, 722006646, 725973838, 114773835, 942832974, 384830066, 293555273, 910553725, 613124140, 753643833, 427837469, 840750426, 476407514, 104832510, 773213370, 595604158, 769399898, 112565050, 155294820, 1679159, 10099991, 179159394, 76247417, 644964619, 705157437, 812334799, 204178309, 283374211, 533607018, 871171420, 392677870, 586834415, 758713456, 287290886, 740454832, 24887572, 576775954, 151623228, 555473420, 157493748, 457863291, 16026631, 52631687, 919618027, 209783103, 656206045, 750874347, 488646218, 549870627, 134777704, 224296811, 498366269, 782150291, 77414187, 362684662, 32188250, 969307652, 436756861, 289761409, 959583681, 946361350, 403169540, 558338940, 778309028, 409291038, 219344807, 692700499, 539811568, 859260773, 691084523, 208627514, 270744781, 282531514, 876452827, 243787784, 698028805, 792665404, 330670526, 724347706, 369624605, 806438845, 283231698, 926220353, 225961535, 860044798, 721924937, 488185921, 219583899, 57753156, 735245211, 299024199, 176233008, 875395203, 261971092, 828948154, 137179051, 467098855, 581912356, 677436757, 857772605, 859196110, 398609663, 949540659, 591810846, 26260816, 39258384, 896071413, 957816570, 190177264, 568052183, 247517411, 12853374, 212862372, 480537453, 541980823, 652618293, 939356380}

11

Returns: 21514
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559613488, 256555201, 170158446, 578419031, 159310890, 812116220, 217293310, 407807884, 419900660, 33651403, 836008589, 749965545, 142669520, 946920177, 751023263, 791044519, 451577380, 218762174, 349103635, 556692958, 497937112, 861136106, 713529920, 114272709, 219416164, 249033259, 348241402, 782283068, 209979065, 176560253, 237740503, 360709331, 377049920, 387480017, 200591129, 246927292, 734483120, 584626136, 736867835, 390866295, 935647720, 793263939, 901645154, 178097932, 155805905, 372321149, 420037438, 182589743, 648589446, 516561078, 281168202, 252464404, 549476586, 173450125, 108321696, 318156296, 857987969, 355163553, 314564514, 528628136, 143500869, 482714203, 558057792, 898283033, 933881212, 313525721, 457870212, 804764362, 624759926, 39226708, 710094386, 585513488, 529392249, 5598893, 517957001, 598225604, 146364477, 248021098, 152335035, 114001796, 179634711, 331021987, 197372888, 96251657, 822617351, 276786933, 38729672, 21009375, 272147015, 863800180, 941060110, 575616995, 868996937, 259051277, 100052279, 603672637, 32486784, 965050717, 47378504, 393870443, 866067929, 973039353, 758756519, 920173326, 550269604, 243838695, 981066480, 885728774, 472639885, 454224764, 939474041, 879655439, 947525257, 787480009, 276045291, 331153757, 539317912, 79110963, 72047039, 117459722, 852096487, 786955939, 293547269, 116902289, 395578801, 176722449, 29510659, 389410231, 339258304, 734529664, 978376260, 922486112, 955474391, 576655816, 786992764, 27949179, 583176301, 38797739, 567130970, 818443237, 483191826, 404540697, 77722508, 942888287, 283979077, 775943087, 171876745, 723517468, 1596964, 517240222, 436687772, 344476832, 1477091, 820949634, 228133842, 814550946, 994010619, 779259537, 172740238, 750631598, 93680398, 836179473, 52564057, 970002400, 664173341, 148128911, 437972828, 779300191, 295370396, 663089182, 965547252, 81304593, 34393212, 505542179, 262869820, 419315214, 813034270, 69073263, 298964281, 782601271, 919666982, 878428283, 713453911, 715591746, 52479672, 116466766, 587589260, 772346145, 733438593, 229719881, 759498775, 896665078, 773575509, 192765626, 164876781, 124792761, 100794457, 229357607, 88872060, 727480091, 382016846, 686238747, 367255001, 125440998, 644651249, 414539973, 385121538, 234233458, 106732690, 886705252, 750007386, 387862338, 360517942, 855540875, 752520488, 899356648, 519624577, 802909368, 918528106, 181650187, 286218453, 818196506, 442345903, 548741982, 883447685, 40056497, 962878148, 530035569, 722418054, 442963187, 901721220, 250542749, 287234493, 892531386, 942797285, 772265914, 35090602, 176117649, 76242895, 793331896, 353886666, 307791880, 61656602, 82495987, 88684969, 303652820, 908052428, 19915664, 67242351, 580845203, 420215637, 129559992, 251250975, 628131530, 619566548, 132667831, 906091005, 455523067, 104482818, 247330586, 448919046, 725871405, 57826620, 456238967, 658708572, 233261837, 671676400, 680736276, 622412318, 237809902, 168640697, 922404802, 538176263, 126376749, 325630752, 312466762, 910697112, 805956051, 36396549, 677493180, 786842998, 283698283, 885998334, 628075450, 926163977, 259455462, 730155208, 135422333, 762626939, 788555112, 610203341, 612283720, 746705721, 519344793, 175992992, 683655189, 839879632, 668728014, 905344982, 709066878, 139816758, 923445003, 29275544, 477394408, 64832893, 560282537, 739807529, 217108664, 704078682, 67627669, 782364016, 274129413, 190923448, 971138916, 501614227, 965549855, 599242480, 851721940, 517998924, 442146304, 266859755, 574252573, 265443369, 975260305, 435009600, 589894710, 310569904, 554349463, 333184377, 255945358, 475517131, 494254785, 327402961, 441856581, 62284614, 417903075, 680288639, 234053919, 171839068, 935946810, 317548, 844970815, 729140566, 477215288, 989819797, 740836533, 554143151, 650937201, 205876633, 322238637, 291227305, 167835789, 180093743, 341732206, 887075773, 10460557, 685909418, 355150868, 839274354, 145884811, 748398754, 956876806, 294456982, 700720915, 313458829, 463579660, 691578632, 727083431, 446913613, 741080535, 554020883, 318747013, 373388805, 847432044, 937273546, 332680297, 364653906, 171964288, 31148898, 582839376, 187278202, 617599259, 837810547, 6564875, 214500059, 874039803, 100677371, 868600623, 833910468, 704281381, 373603016, 67627271, 441044825, 607950720, 707687933, 342985716, 205978756, 832995003, 543098278, 111601922, 270253289, 73571799, 592893345, 453502122, 584904972, 946013980, 606514491, 650867392, 580758188, 75012687, 74916874, 477661877, 126725487, 192481335, 2366642, 824434331, 695899322}

61

Returns: 284291
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701288018, 588225846, 947576326, 376085901, 833393308, 557423862, 67640561, 14662066, 7419094, 682011822, 266727661, 921038970, 915742880, 678963184, 374961717, 426206974, 565558812, 748914717, 944481656, 775950349, 858783756, 126372977, 823610090, 83655629, 402660346, 255930787, 83675831, 523075770, 4396726, 889802089, 620614273, 796957024, 885244197, 788870722, 159870073, 3448095, 346195937, 236781137, 505006210, 303316641, 478435334, 958909697, 318027120, 728963199, 258126919, 966940379, 791719993, 119702380, 791258156, 353686590, 838194302, 896522037, 547924597, 958064680, 370165437, 324412377, 238307054, 63494090, 708677614, 98941567, 957914568, 692665458, 42892443, 708398515, 8255153, 32300664, 652089790, 782702049, 455015257, 639495780, 458843906, 404883812, 372348688, 705279656, 641454770, 756217031, 160264437, 748724604, 371060067, 369138857, 841949968, 899124457, 330517412, 90314658, 448538717, 228904782, 146164813, 810218597, 294439802, 948711504, 346908007, 823005794, 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173887359, 32432490, 57223912, 166313335, 692210252, 328344848, 21206572, 177881528, 826767088, 958975928, 51948368, 82862462, 922089774, 60828669, 274365608, 28972731, 14047096, 839323848, 115811285, 747642621, 159820730, 644172575, 295933005, 832684223, 899631291, 824283931, 453274809, 61700664, 824670596, 638242659, 15767185, 631227887, 131880206, 24787584, 358471524, 790746042, 872395321, 384697054, 719894871, 864181762, 109816305, 406274128, 421911962, 425067684, 637737404, 412295188, 159600009, 211994000, 34859418, 863270756, 365669271, 143776777, 454754617, 182916977, 456764925, 802185135, 666897492, 730902374, 83249592, 211075800, 373290134, 486708132, 550481772, 608600420, 566024027, 365336554, 54092535, 761999240, 907800597, 57546230, 89303406, 760999156, 953085729, 254723192, 125081180, 35419739, 520640421, 918999712, 439890444, 145310470, 326030911, 80434813, 489928243, 268298453, 722247141, 766476427, 289084367, 452830155, 116195200, 513325086, 9607519, 183483339, 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28

Returns: 70784
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347

Returns: 1668907
{738792577, 144018497, 444857684, 465383218, 173728992, 281749351, 898697786, 88806043, 163225041, 909565130, 389921781, 937684149, 262386073, 175142075, 181708240, 934540871, 258226579, 827205566, 714005948, 144427911, 666756412, 597658261, 728288267, 93342156, 993467489, 622942039, 282857025, 613464596, 47388049, 283420100, 723141771, 972801872, 979411463, 84669187, 115969314, 571010674, 520583458, 776923174, 802034196, 523449973, 506059210, 687006267, 814834893, 94631214, 705702038, 165410165, 649915788, 16360968, 40801010, 664236082, 327250950, 98446140, 701165289, 352979677, 208332437, 261230847, 939123328, 592665316, 12130995, 287129301, 661057796, 695620229, 39019882, 478996857, 216505608, 900107258, 224640734, 230167839, 140789328, 243610408, 931171234, 217093775, 782016632, 106950385, 582141718, 363281201, 171545183, 69765639, 564899227, 482006076, 832416576, 64869161, 426456052, 718630590, 230891025, 944643469, 611781843, 321222302, 56026112, 929258964, 323292256, 702058919, 308150342, 403562295, 141732137, 275012871, 60139103, 89445544, 408448624, 116342476, 824469040, 238085512, 2800697, 65317617, 87625518, 195406624, 308541638, 498424548, 385911861, 77471019, 212898017, 152748874, 795863341, 298304868, 636931054, 837499946, 797833480, 353799637, 68663897, 302250462, 920637420, 39418130, 52109284, 847422168, 784530503, 913433254, 580197002, 536671951, 365166323, 890322112, 823702483, 280289820, 201139717, 882066093, 438946030, 411474817, 125946089, 138491317, 956872337, 24743372, 23057400, 850424760, 544755280, 783934292, 805771533, 257037994, 294374579, 261749656, 101566206, 866125598, 422512183, 970656431, 616156535, 452652874, 31258730, 669686734, 971740126, 918152488, 540027617, 625320266, 435676789, 135539409, 357320868, 805370486, 676763263, 931461753, 27974403, 566504031, 88522298, 803965948, 288088180, 12083460, 589571600, 76534229, 745317121, 14950646, 300419119, 191082678, 735596877, 36024918, 82856283, 14685812, 461279903, 666509118, 960227717, 164678857, 797280840, 716700288, 147301317, 565635018, 314187412, 557268965, 186315932, 87088407, 44662554, 359266646, 656773908, 988067882, 1204198, 39563181, 7867214, 3534669, 418870151, 567939765, 63374378, 994228399, 942681212, 770410411, 84302315, 963318470, 675981148, 941350969, 759822214, 799694634, 539372524, 663427514, 7060823, 707522329, 840355817, 59493398, 558479249, 589138786, 320666458, 855627288, 766247128, 899340836, 788812860, 188476101, 581642107, 38255015, 830581325, 137516783, 391773238, 173272454, 428084434, 423703466, 154022668, 627653384, 292005239, 122038033, 451686952, 120014239, 141076787, 61446550, 62463337, 618921627, 293768672, 542306258, 386254206, 823364206, 21802285, 239552187, 566104470, 212447602, 38952605, 899883939, 607048264, 399933309, 183329955, 5724321, 55393330, 401116435, 880475560, 527017119, 286324384, 540595509, 496248755, 412403829, 898221464, 709781369, 372819666, 950546998, 526533554, 143296420, 882798332, 230804924, 391794733, 125748120, 714725671, 899823840, 680980695, 94065150, 142551055, 453665386, 248375332, 30811859, 254717320, 350859668, 274730329, 126554778, 106697405, 692144956, 352866736, 720093321, 348490357, 687214609, 6215731, 886904087, 136113341, 608592092, 899445389, 869736722, 633086662, 384445344, 938808613, 70020603, 191143556, 651266570, 975676746, 282503778, 317340967, 726066512, 633484314, 193254284, 20900660, 882384951, 98176155, 887393759, 414785726, 588711656, 5772697, 492247177, 801120077, 850469518, 738038902, 860084678, 837120160, 518129705, 645625963, 339883143, 124206088, 870932170, 74676288, 885206258, 23822743, 765576236, 197901319, 830794450, 899514756, 627490520, 702481399, 712553915, 837816694, 879298773, 780308267, 122145821, 366541004, 82924688, 23406, 807641370, 56759661, 989619978, 511545936, 100487200, 757002793, 996383901, 490670464, 310407475, 748974132, 747431958, 391867022, 215383838, 962697221, 816394736, 533860027, 659564972, 453448147, 741653860, 379960998, 107561470, 565046663, 521920772, 888151867, 915598963, 269742962, 693756806, 845874440, 75423595}

146

Returns: 2861283
{11025131, 144892602, 60649342, 559974998, 314880932, 805138853, 266426563, 417677951, 843827195, 643486250, 568504184, 738736504, 713224661, 906362117, 68947299, 471892805, 277745287, 391686338, 928018989, 311870100, 10972331, 729047534, 568356508, 787274166, 425412206, 292490153, 885547278, 64277803, 742983676, 29701845, 312609672, 61934159, 322439471, 139351814, 591740406, 549731979, 551394227, 529640384, 473824728, 507576817, 74221526, 894511219, 589920145, 493122359, 997234925, 51925624, 468893863, 270991371, 485831147, 928910912, 463393952, 72543974, 914399876, 122345117, 262658592, 31284746, 572756978, 610436327, 302067845, 332385920, 270051470, 906803726, 318292598, 536409827, 215759844, 270071018, 44514667, 775707602, 720814513, 201122894, 51096853, 6094909, 713730223, 988914703, 692816524, 101812783, 70530002, 586091269, 245424720, 457778661, 111510073, 674098554, 283856487, 381664785, 96427220, 160650951, 541914172, 14405125, 154100876, 403421659, 77666285, 640700597, 349469329, 21430898, 217538899, 188994085, 251794924, 120612410, 768822582, 901412717, 771042137, 85867016, 150028666, 288415875, 982144266, 344521484, 973425289, 450569063, 423953255, 645526592, 811545870, 763110034, 624885860, 221448843, 535987329, 328134994, 804330921, 527155376, 950289290, 164384393, 782962784, 340612598, 14790073, 212963171, 882244966, 505586918, 115344207, 565530921, 246391946, 442162753, 539443597, 106926658, 734167251, 50162513, 669720897, 544067815, 723324968, 79869472, 116185795, 849544246, 546337657, 181704898, 526968152, 976057223, 768063280, 230857972, 15360506, 942588159, 175545805, 795677314, 669998738, 113443065, 305218988, 938676216, 823532229, 222441353, 958138249, 120761973, 585812449, 878090110, 117445931, 755167858, 956506281, 376383495, 353082364, 720647481, 726030040, 212313756, 125353679, 916560859, 953818845, 311446880, 428070955, 194197980, 241923332, 832883813, 301812416, 570386440, 839209505, 65510339, 455848928, 613392885, 636760556, 616621232, 584848349, 484417669, 415008178, 819503208, 310659293, 878211847, 756413976, 626985298, 600936741, 887905171, 884474465, 177602262, 85102805, 843719890, 880226219, 100909080, 707828751, 89545340, 979204906, 256910488, 107919340, 497574593, 29310069, 29366350, 918752637, 232057444, 921537684, 526695778, 240117900, 924813964, 587636258, 54101964, 476487377, 446533307, 222749853, 781942841, 526576437, 985728762, 132072525, 294069352, 750668655, 956640543, 583208695, 558606373, 986241031, 426123181, 316078877, 735697954, 77518267, 307221479, 634519102, 541421489, 12402783, 779077544, 545520523, 969795378, 356820070, 559411255, 408226539, 91730640, 488723502, 828106889, 170821617, 928872645, 512746608, 107240771, 114909289, 535749948, 551829246, 403832252, 18636747, 1018951, 252457204, 100998589, 417389449, 95771612, 136106808, 58559791, 56208342}

112

Returns: 5281290
{697984792, 139337291, 883267001, 403079963, 446528536, 582685583, 619426763, 449378050, 771782036, 199180691, 158993575, 404278632, 519686230, 351559134, 124452930, 771418374, 938990251, 480128924, 623172205, 112415496, 215015535, 982352407, 304731580, 528031258, 72813772, 459261632, 449879988, 193849893, 324755317, 472451300, 557225036, 522931171, 979264040, 441420661, 983105093, 505360627, 404481661, 439554614, 21431986, 833959321, 338831963, 842822976, 616364202, 330307880, 552297352, 572416764, 598442831, 145981580, 609954984, 784631740, 435013708, 323166217, 341783018, 713466636, 810103904, 607864552, 810090570, 114149018, 883803095, 728078919, 926962443, 301406582, 940858213, 207015849, 287411205, 911067871, 175470807, 636524799, 776781603, 760022113, 804463942, 109941728, 952246124, 789911122, 151731546, 640916044, 754308558, 413751942, 972773031, 563861428, 506349848, 675474150, 715424922, 476636683, 770144197, 682919924, 465397741, 146701458, 52859050, 319405721, 945065326, 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939113268, 509372190, 982438883, 290099498, 404320723, 727370928, 489588974, 271891591, 105933162, 938839597, 990746841, 934040066, 420767749, 22113230, 44650361, 262038362, 846755679, 228219094, 845603084, 909043071, 529840660, 398556666, 375698247, 697887447, 426300099, 8540967, 137081372, 502515616, 441227974, 283140025, 767115037, 922049803, 511538967, 999294441, 887845561, 930343857, 125945216, 766201249, 423695549, 309061344, 644516498, 519845257, 378767590, 59428526, 742084017, 940288405, 660299946, 851320432, 268974892, 584914996, 33424418, 18163805, 969545348, 90066834, 365606273, 586395687, 517557112, 374570131, 205797466, 471729035, 695158082, 312279976, 516083910, 386528936, 369441263, 445155622, 622025757, 196213268, 248368302, 93159692, 579571518, 158806030, 63481477, 537351005, 812251990, 591911629, 304350494, 70733440, 162606391, 253092497, 322292451, 626253770, 79899979, 14227077, 690115762, 92287946, 20635127, 777184554, 888067521, 18089428, 650428344, 519464443, 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798253199, 973445248, 275798479, 97210819, 453354651, 200445534, 13097220, 55801699, 626969460, 451927233, 204058680, 807894252, 849384040, 146981523, 754008427, 311712415, 557374765, 338347025, 695361213, 496501294, 457304569, 103574362, 891831614, 732959733, 416007713, 534197905, 903775960, 593798213, 23557639, 788978313, 214378336, 754519452, 130009644, 932777065, 158443688, 394747634, 356461019, 618016799, 82350573, 824537110, 682086859, 190254828, 894823397, 801787699, 149996324, 426342347, 668071921, 157738210}

222

Returns: 1572466
{303241564, 272938163, 607375662, 560835152, 144266327, 892811414, 744371293, 124403746, 469058725, 223453453, 824327995, 86365859, 103267195, 399229463, 896826526, 870689847, 954182920, 483861148, 849161961, 469356381, 90622904, 806290385, 94769136, 476803854, 750423133, 105753037, 944193044, 882453934, 989821027, 111119692, 883556972, 927486354, 344053383, 86571649, 370255925, 959237157, 221207542, 983649101, 562418935, 302255760, 144552527, 795326370, 800907124, 460196835, 8536693, 817724822, 95622874, 370330969, 293306645, 8647659, 280167558, 592679889, 747633639, 121018687, 585813933, 62185471, 796371077, 371931835, 596620969, 693370284, 920100232, 887839671, 79585155, 59582084, 113890640, 498984663, 229884771, 607861553, 298162575, 951811788, 457604709, 670886084, 283400789, 489573756, 269335751, 518549321, 46784127, 369060179, 774209075, 955508329, 147178453, 353789807, 78075599, 868091298, 488934940, 2808958, 56015390, 862854939, 202577836, 756927797, 704882717, 631803876, 477683108, 717793358, 532297833, 742040236, 918850894, 595856976, 109435561, 554936897, 732849236, 102392670, 526390778, 634848765, 253344787, 943180346, 745212877, 835128842, 45829105, 116037844, 410414788, 8961896, 961579199, 267256213, 617541361, 975672136, 135400074, 718955795, 964017183, 914094873, 555118531, 727025871, 180859372, 47575519, 452485066, 450508342, 996488257, 498319456, 888400395, 277872952, 185989938, 554762731, 659550460, 249478593, 209834038, 856078674, 552519679, 355002928, 948281200, 287743990, 948022954, 75265480, 998280147, 57223309, 385629040, 847827974, 118580040, 415338203, 328604092, 512730495, 715218129, 442632755, 83577132, 484020308, 436955432, 962327334, 310197032, 554587058, 777910705, 602843459, 77099193, 390279, 133272774, 115886540, 818393246, 57157358, 2801796, 750351555, 254553307, 897812637, 401171530, 719964131, 830778328, 76449644, 857714635, 664351025, 179536544, 713052881, 443774266, 526803007, 642802437, 760072540, 410395178, 896080791, 485746512, 114853119, 979619867, 786712305, 890937198, 521860525, 773526085, 108756595, 340125427, 878272714, 828507743, 86074121, 964627586, 36593414, 517804642, 827537645, 691713987, 755970329, 575041403, 119429311, 296444733, 688785445, 817523961, 98979807, 704272616, 364158810, 455767655, 954221521, 332032090, 997524838, 694055520, 273573186, 591182075, 408136657, 577713281, 618720381, 928956735, 780342513, 278739435, 179766754, 382977170, 359062508, 996643580, 603164358, 72969259, 199389059, 98303305, 341897201, 632100679, 866533014, 759345646, 449537491, 71177091, 727353131, 38863943, 617642445, 240008902, 704419432, 969760233, 119470570, 644364084, 184205459, 994787279, 883490164, 864450813, 378258615, 104941983, 671448728, 128758551, 564563905, 530497362, 475181872, 394068323, 649054635, 224939648, 353715413, 569957903, 33214466, 569260, 316275279, 365630876, 675373220, 18170783, 512004040, 733682963, 141191501, 401948047, 393092894, 373599884, 549623983, 47362462, 772012602, 723755364, 559631923, 154550374, 366116823, 495790880, 504027134, 724482811, 863943143, 153663845, 69041187, 554839508, 939614794, 431939656, 134065238, 988753308, 637254996, 716772977, 211769093, 3126774, 6432738, 960096184, 586212760, 548992600, 728185759, 546487289}

149

Returns: 13412225
{166229545, 835789113, 657162070, 755252963, 327193232, 266578762, 533259289, 252279129, 419893787, 258440546, 632906491, 114503370, 775153034, 930727783, 62447192, 876682898, 606040602, 308228203, 21252189, 54368157, 177849249, 412601056, 388979165, 258392713, 793254812, 83723522, 627411019, 69796984, 344136035, 905365299, 20407110, 841818339, 4492696, 2897017, 961011548, 342883995, 488556073, 903258830, 21372561, 683136770, 921978826, 274523, 809085090, 646261412, 392755182, 872274033, 825322345, 384695228, 733167367, 74369760, 442249225, 973271846, 463500812, 367365579, 338413945, 994568271, 105864292, 4406939, 935299589, 293690809, 236692167, 857207759, 803002405, 51615355, 335929359, 143572517, 229125474, 720692567, 465955283, 912587845, 393307103, 40821660, 9852141, 883541834, 545614835, 98568986, 629046162, 560876607, 5233920, 911574671, 197451395, 725376362, 353928269, 390656173, 483974015, 121984100, 288374938, 686648267, 986687317, 153324491, 15315426, 230614489, 787858906, 226687622}

38

Returns: 12260298
{400173631, 68527341, 71413672, 747629924, 648184500, 157679254, 623911293, 855441298, 983378228, 298447228, 998136670, 113616490, 845496678, 275298831, 554251798, 464105766, 412174279, 929179132, 218454770, 632083893, 634100392, 965388019, 390604636, 13215451, 99352705, 377502690, 532356353, 427518058, 14099097, 566286345, 63609409, 241806062, 7066228, 545946607, 516855795, 475604775, 866611147, 493459738, 444348081, 431428827, 352239256, 951894045, 615402815, 919330403, 117360460, 73147709, 12194627, 595206654, 401345872, 267051958, 181018042, 56319067, 771382477, 847559679, 888777675, 30942723, 910832107, 735745005, 293412902, 944211282, 389403387, 573392783, 170354660, 335635770, 553431501, 736455396, 204308039, 38756609, 576301664, 726180729, 365245556, 886428730, 270900936, 422529489, 305870525, 249234636, 578061156, 566635240, 21297276, 826240240, 453787573, 454075267, 771958373, 384624782, 394868733, 728995840, 775941311, 904722637, 408530368, 814404069, 549556842, 894708491, 894486050, 231172203, 889426220, 85322838, 619988648, 159705638, 542232994, 69132100, 903326164, 947786459, 659024500, 523271076, 415527237, 555920555, 569310335, 74797085, 148752290, 114933813, 133122078, 643302750, 819196766, 372040661, 875704848, 299223695, 342967535, 608981255, 193970767, 668544372, 422624359, 237613396, 213868607, 391562147, 802395651, 486229715, 609774186, 658456105, 616675335, 219358870, 34992333, 112556938, 944056551, 980516321, 99446091, 223984714, 539534761, 877254974, 872123268, 939436665, 376166542, 350731388, 601780754, 325198881, 251954075, 497895221, 9325840, 544568143, 479791156, 314499297, 40809315, 298145625, 178449245, 883577290, 213975759, 875748232, 695304892, 18414310, 57240563, 896915765, 908189007, 798598952, 470662378, 118711228, 525104054, 535550242, 91234755, 215512500, 37524570, 73112316, 833620393, 84084732, 202530164, 51549143, 747543343, 378811265, 143179879, 493591516, 743386696, 306167671, 334137857, 622389647, 232243992, 405244552, 51173722, 934591256, 187216580, 362816817, 783019644, 52944641, 416503466, 223190075, 990831545, 893689545, 643834231, 326332179, 125195549, 122607989, 990119757, 447073718, 897217768, 974449852, 202161139, 996514191, 519682107, 841568295, 963087960, 645560006, 549717194, 109782758, 321373670, 450773974, 541035150, 459941168, 356926915, 703631960, 577528639, 953846709, 934447395, 500532952, 745914418, 410501864, 854451807, 475477044, 40202948, 701539312, 14660931, 70362145, 740294969, 391745670, 597081822, 405137159, 25606866, 942961694, 492596386, 528122257, 36596578, 13083569, 318825569, 629623840, 969957856, 339226289, 729823338, 521487447, 860477253, 757201905, 629015798, 636705620, 50356533, 127456781, 176908366, 420803256, 472023600, 425118796, 783436626, 966609746, 222906112, 107156620, 6624057, 48250015, 574014725, 46420189, 30342199, 188143899, 359376152, 704864620, 105549914, 757802067, 80913700, 833178411, 971357210, 114522825, 27720748, 625116972, 846969791, 249615284, 680593065, 142569919, 316015650, 609326383, 217135466, 745403394, 687014507, 747608538, 196463258, 818706898, 194617299, 21207165, 746137098, 399636723, 653443892, 42905879, 517499528, 782112665, 692427548, 633637284, 119064737, 988155680, 710413105, 808551730, 128567070, 885442381, 259141194, 99294998, 606226278, 931290469, 627890438, 717635865, 783010964, 140852751, 834299563, 441229194, 773282713, 564913898, 291021878, 769649459, 687978458, 527608906, 581795174, 505992718, 649051039, 131188245, 541696684, 242684639, 610316887, 452410086, 666470997, 177792466, 216432573, 819747058, 138948035, 889298397, 531120908, 424268778, 446961681, 74974546, 901692076, 659813342, 170798071, 324867856, 761382989, 562281529, 51566426, 475401171, 611860286, 447144647, 941225587, 77893738, 422456932, 873309084, 993908019, 818508178}

20

Returns: 183523
{89624640, 67223896, 817388037, 392218849, 723634894, 474557495, 662497852, 43782230, 83045405, 390089594, 954988770, 54028682, 736165915, 658438184, 415727956, 494298471, 634429496, 712205502, 93551885, 868466728, 374642916, 673119263, 914633873, 620227785, 552803718, 750101469, 23659669, 257329547, 821382835, 654349614, 756617843, 646770284, 38531981, 56194759, 411814213, 148719525, 54588978, 366602266, 207054027, 190680858, 998264177, 124381026, 38441585, 705870006, 212492319, 193184949, 178565154, 554147225, 717900960, 942945887, 872211071, 914112373, 4757209, 246154299, 275965999, 206134133, 347699411, 15134770, 760753447, 1723550, 170671379, 655155007, 105894276, 290198559, 71277286, 938120727, 556223841, 52684711, 92958126, 401092026, 762104970, 53074852, 139369373, 522225299, 78361558, 99214867, 582848348, 451269043, 983150412, 993468106, 324500614, 74864307, 278059677, 369021386, 216278840, 772440311, 921130475, 63203749, 110691798, 84170689, 230159858, 666996317, 702200633, 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621466743, 737244895, 558853991, 71166634, 12478808, 726061264, 108042096, 226087024, 66677693, 269586598, 186783289, 626325838, 857063012, 608539312, 122921714, 890208550, 813505710, 35174407, 921176060, 958651447, 125556039, 572580960, 141737493, 256204357, 600409000, 364115665, 531914625, 549683176, 179855611, 98209495, 135584719, 132198637, 97298087, 701945033, 565577406, 662317703, 845747769, 305590855, 307401214, 429786166, 472513262, 599106111, 463118483, 167439572, 167351206, 523110, 978639044, 91904226, 331076601, 527404917, 312478450, 31978018, 266367789, 6108836, 342320643, 955136865, 178131511, 513223186, 659151200, 834068444, 916414101, 285734993, 676900822, 686408168, 210105016, 106132492, 35927033, 121712489, 391569945, 996791264, 539322919, 440635793, 421390398, 828800855, 68028170, 702074047, 949679811, 617838420, 770959791, 663294271, 655414344, 609962547, 199398031, 715602736, 46139276, 700046024, 999454476, 810787133, 415435394, 698521148, 970286328, 657790344, 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886206207, 109171921, 488318216, 609075097, 929489798, 381973393, 90635428, 429195067, 130559031, 106221911, 713085954, 34918239, 703001705, 820430838, 142250887, 997317373, 377216901, 47988166, 407700540, 33394030, 640345237, 516779779, 52136151, 436605486, 70293400, 144052822, 554811663, 12839134, 747301331, 8806333, 194914148, 842084985, 159022131, 543664975, 756641540, 673485884, 998307770, 423777582, 224010734, 725280932, 985325400, 875884722, 763601682, 94269929, 545723751, 229665732, 949878181, 557260147, 69024212, 272307143, 116525773, 179395973, 328565913, 386532343, 731972190, 328425922, 199708483, 924058741, 199197468, 519111866, 358207344, 541902799, 810541608, 940399490, 327453547, 757305231, 586443622, 7073910, 832205402, 734478819, 178967025, 288796863, 26908659, 32584115, 827818952, 571910038, 860377950, 598460166, 453612646, 261131709, 952783520, 629406511, 987948680, 905706407, 49259326, 86441353, 32667837, 12619786, 872193647, 995066874, 612403595, 139849356, 251252080, 78478727, 702218321, 96380189, 391406424, 345296495, 820286115, 90880359, 940412719, 459070170, 410416120, 755646773, 984267193, 285091763, 513246548, 75570464, 315849997, 919262814, 125179595, 660543634, 177679874, 832763833, 856991675, 755834254, 118159323, 306392414, 659071715, 255715469, 819399529, 163652410, 523443285, 436159423, 314767084, 730292654, 248910270, 348396370, 849049735, 246418197, 931557461, 708346611, 525966196, 271826927, 560171297, 10934935, 982637838, 519634178, 459232498, 840359085, 399591636, 734552758, 809914450, 123982086, 359376424, 604305634, 969317301, 988974989, 55541618, 753121288, 249895933, 17960986, 556920325, 895890751, 208786082, 930698951, 822962739, 457300375, 66687681, 78346064, 274932532, 62086555, 849852064, 271680786, 23774929, 591294954, 265226429, 632095412, 400918873, 566217859, 479065946, 34884909, 223554429, 565454188, 953171031, 345199993, 311334200, 580304591, 380173262, 163206064, 810476943, 247848222, 578543781, 872001695, 633384868, 127579035, 69046008, 613694400, 231297397, 742848267, 533883894, 1155538, 4007017, 67075110, 782485991, 109956835, 634870648, 641156945, 449165772, 711944644, 762602060, 807664976, 628442349, 355700544, 617380362, 467268219, 273364063, 685461427, 286903011, 879193027, 43394208, 839495638, 107588765, 548827622, 402898476, 995101822, 588963430, 563913817, 116534312, 41501758, 861649526, 767874337, 235092255, 755214876, 256677686, 416076092, 846164253, 99182071, 53478852, 240454146, 292401317, 682675937, 703387925, 175035693, 245436074, 233669788, 180066495, 920853270, 189498340, 431912083, 580645811, 562331380, 47626308, 999991334, 226639858, 48218440, 171732728, 310964597, 407855746, 988413944, 281177591, 181054727, 89609575, 218530025, 266349762, 563600045, 215139863, 710135164, 744832667, 109586770, 3885223, 871057744, 522029897, 60030420, 641939760, 114926193, 444865651, 526925675, 422324593, 295924391, 597216301, 51547105, 719776621, 246886870, 309012457, 155021404, 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430538130, 595788708, 105444516, 363755348, 6459324, 414122151, 865111050, 52794053, 481351509, 693598302, 988818229, 263745242, 901308827, 343683954, 103662099, 97901076, 85972487, 6655276, 518756278, 119492252, 151423457, 788862158, 322728095, 653108543, 763525143, 491011714, 979020329, 632295598, 269443638, 547034861, 97918013, 29293981, 378386240, 963543466, 902171699, 32565832, 122339847, 973751124, 355831658, 366380583, 600032230, 771923405, 113865672, 61763690, 823384446, 640311067, 327326510, 293760113, 463539442, 961450355, 119222645, 668491980, 845318342, 501105751, 78012059, 843371330, 524757378, 11792434, 937180659, 682890881, 310381977, 728729239, 55517680, 866952604, 573594133, 810212429, 171209689, 673952341, 175008631, 787143588, 130316637, 34998255, 21597083, 727468034, 39697849, 135313600, 918949480, 983611090, 553223491, 376986195, 319146737, 125054058, 904413953, 191082517, 437654638, 901646447, 763313715, 589769547, 370186111, 804881462, 472980353, 381436028, 124276179, 346591498, 676225567, 784590397, 310293805, 587229885, 451406608, 176618882, 555675068, 896015899, 378896407, 85494412, 743565277, 79070471, 231630467, 836388180, 586544114, 522544637, 89921556, 273003536, 906987079, 447508770, 53983576, 644319942, 602445814, 988958878, 635582253, 940532891, 105610383, 678534321, 85722198, 832450997, 47247875, 247472646, 932412875, 613364525, 436227029, 548517317, 37154899, 676231570, 749605658, 650591718, 397509906, 258356180, 474105616, 912294431, 839261817, 26130431, 206926149, 962005507, 998079155, 983576844, 312737172, 374405739, 43874407, 191597604, 428068940, 555193304, 512993005, 98005041, 37490672, 492562749, 148217789, 914108732, 722485755, 851483010, 193321574, 957918363, 733472751, 210122056, 318792163, 105270566, 466534782, 43420759, 712323168, 94587279, 652040518, 398626958, 619007385, 108355272, 724139333, 618600923, 849408203, 90112214, 869599798, 653675902, 913171666, 960845816, 410534793, 263224672, 736362621, 916626759, 705909036, 307440237, 396287355, 108095886, 147979801, 123811065, 904950687, 598759428, 646632706, 495765759, 346625992, 204744461, 299514078, 410260882, 291969328, 782624310, 516203914, 111632852, 688410839, 295614085, 103965531, 98739062, 19917213, 742340039, 952920654, 204182497, 81554803, 803733414}

205

Returns: 350224
{855188013, 807875687, 551802925, 48334294, 116760848, 66294731, 156080001, 468069357, 881168457, 589571349, 282126237, 888028050, 88534654, 342409265, 593862094, 188408960, 476059623, 629597940, 408345779, 243304546, 42256362, 282903843, 69758087, 384976264, 859114359, 63797008, 607760488, 143740677, 290082532, 777233519, 334654904, 36458220, 744649678, 457728785, 667012451, 857656463, 366788588, 744142899, 497741878, 333967166, 53611478, 275201173, 179521448, 355488370, 942599537, 879298679, 478639121, 165347841, 996517240, 284113834, 781460679, 109071401, 50160971, 15337173, 166361099, 513775904, 783701427, 653360829, 509544104, 254887717, 734065502, 925329197, 20134187, 619953570, 260039724, 89573220, 325375206, 306792852, 167363844, 690479022, 57690101, 554598673, 467453198, 868429528, 218525711, 131520959, 994520493, 339746428, 258626058, 668789351, 385439310, 251984046, 331214535, 195247375, 4197863, 93627496, 584027597, 103436409, 354790393, 569468331, 49705807, 596244245, 303932482, 817785196, 316761650, 660780787, 767781145, 636040627, 611015410, 467031442, 474924115, 69166716, 267017900, 190861674, 925578002, 58584294, 58887967, 711399231, 347467587, 237019741, 693271791, 548134272, 373220336, 298769102, 412758201, 54700507, 44615762, 424586383, 684484196, 264188669, 29439513, 49742237, 703784198, 875371027, 123267322, 622827215, 10657191, 756181558, 291975450, 5510832, 692066918, 860157510, 375215818, 497872875, 410730040, 77582224, 983142444, 311805612, 696570985, 704256561, 43577781, 487415266, 83683373, 197610531, 685866353, 138162396, 980868820, 674626986, 972163608, 786796085, 343850736, 941269902, 274898432, 228296983, 98647870, 749940429, 298678553, 902991982, 76248840, 135656653, 225068740, 846636211, 40589536, 647135999, 258209441, 923406728, 432438119, 956149511, 666116665, 875451018, 968848444, 415491417, 525609409, 558707498, 693387252, 76164600, 516923155, 476684546, 297138178, 445925822, 938646427, 820594387, 944917381, 844920347, 593100250, 580622477, 303295227, 558736847, 472235029, 217462614, 63047018, 696601284, 225358492, 256749566, 89552936, 477473042, 165148018, 164154334, 711621162, 949676043, 343266930, 272115427, 313906556, 613200466, 39186391, 920375602, 217851859, 316723266, 535837002, 113902800, 144155467, 30873444, 18249046, 989458770, 124201138, 510607130, 179262560, 651927523, 22355359, 463856537, 31036453, 59389552, 171393066, 84163251, 713850900, 343546107, 626048369, 155817850, 415763044, 556724461, 281052398, 449293942, 846469920, 267415117, 158759268, 680358040, 881699206, 500926404, 831504521, 135585732, 553447344, 458763680, 692922803, 176282660, 488034608, 592711828, 420912423, 492904051, 36881812, 714202338, 553885347, 752799117, 131269633, 574649149, 465934679, 628843411, 241102903, 332238660, 614425765, 851112495, 323421680, 252957127, 492249017, 655889136, 599313135, 38952442, 928737435, 715862091, 907731301, 142984528, 219832506, 35696090, 792515892, 510913051, 238753793, 7251816, 518518344, 295890087, 711632797, 804279526, 997039740, 771749143, 792762292, 482283105, 383515941, 146101607, 616580328, 141318565, 592772972, 86494685, 487809363, 933083705, 109487186, 932169378, 3675220, 842139867, 91130084, 726871572, 244721034, 353875895, 81330128, 944156300, 287608037, 448799373, 838624426, 432798237, 818514780, 670161328, 988241596, 193090456, 989760202, 627195519, 606706937, 113665667, 136491131, 761101408, 894310779, 589479071, 244029016, 648822922, 849391977, 218140874, 674734143, 323188603, 608021314, 495873274, 318543430, 964471173, 72167785, 827505088, 188960445, 493197218, 805557323, 445413926, 600729675, 385135194, 554308044, 415159515, 101781037, 914645540, 205636370, 9206492, 504529468, 315680662, 255709973, 73527505, 344617671, 165945849, 737551214, 583503322, 378156485, 584302208, 308001363, 593918792, 410488080, 642074304, 878077285, 545201097, 108191639, 947231640, 169907473, 798059706, 112226538, 777960089, 542181179, 57796147, 739531050, 935412847, 245165149, 24102151, 587690514, 431452327, 921619329, 814647631, 590385978, 408377858, 694626330, 124712100, 875710771, 739787151, 519532366, 745030046, 944561542, 116174728, 277827504, 222545700, 806773441, 135339176, 529627581, 515929826, 336334592, 996796797, 635308704, 220774276, 879860910, 726288840, 747843127, 670652414, 175902734, 683296423, 993645097, 936809613, 125719742, 146512859, 517972910, 284698320, 977156518, 66960881, 153901116, 842309841, 914196779, 333720325, 768777116, 745066316, 57371597, 767772356, 711055997, 458088368, 829874421, 75523597, 296374042, 499569831, 102963709, 103240587, 939364572, 921228674, 932636411, 829133290, 716226978, 24623058, 388672079, 578990287, 372069004, 510360543, 82813523}

94

Returns: 697977
{874824591, 891976174, 576432554, 410636099, 795721965, 268527664, 218420895, 110732918, 489827513, 435064307, 36493075, 903501178, 189480097, 661685127, 364039143, 603078421, 429985000, 718572722, 719457544, 904675373, 626995119, 90555893, 730119475, 494761509, 35354144, 412686781, 306220777, 47952292, 287951645, 535653556, 443060563, 944315728, 425477120, 31800535, 35001454, 714674748, 129715769, 265908794, 173267731, 258259022, 724553661, 922977878}

11

Returns: 16212366
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88

Returns: 707868
{130811189, 191266097, 278680093, 358958774, 761653212, 445208514, 205830611, 940896104, 752934379, 224949332, 883324952, 361381807, 239246138, 414404450, 430024883, 921308409, 206452652, 786002129, 915573587, 605100113, 627368832, 239421464, 239337641, 639073388, 604541689, 761188344, 279263020, 610767501, 61304713, 97144513, 39402593, 683978596, 135078486, 118394357, 931609976, 914089032, 516590707, 22040787, 50599794, 282072903, 474643447, 879695364, 475934143, 951037813, 138741122, 479181068, 676971017, 570628483, 306418931, 884486706, 107614363, 891700676, 705834033, 506834739, 43787473, 997915649, 731838930, 963896494, 734712425, 177494889, 651258710, 458382830, 961480485, 886096946, 626301684, 901004004, 103102534, 620263375, 84530774, 378260545, 490793608, 508952143, 538151829, 599284502, 213288354, 439097984, 827734057, 470626055, 39688524, 939781207, 340655922, 573673150, 485466457, 689661136, 738958774, 949421193, 231139753, 780626441, 737591597, 289646292, 731454468, 925336192, 227096379, 850974839, 763097196, 990369274, 911137572, 633840000, 851946419, 607829605, 961965429, 775202928, 903837400, 129150577, 833125618, 557394378, 956845376, 355517888, 827620540, 153050187, 86436835, 975042113, 39126785, 638097988, 705645355, 877034087, 157972211, 710152575, 141312829, 215033726, 369581793, 337399016, 755101653, 691641520, 390443346, 791004356, 897958741, 18740849, 529602072, 226102335, 101380999, 360133561, 352073193, 811765793, 407020685, 817027759, 369704944, 684748657, 429815995, 5341717, 813921382, 476129705, 447964120, 392685324, 558453546, 298513163, 815807522, 127862184, 935052752, 67069486, 514935801, 387680593, 905393381, 728651195, 417299931, 661815939, 967613850, 884769628, 581834503, 217645328, 466231679, 174824807, 26749060, 43203952, 410914788, 704315203, 865996291, 485714932, 91020861, 561897940, 443534629, 585097364, 129043363, 22525931, 209868537, 709819138, 74205017, 341338891, 989957592, 109281718, 961591184, 399604882, 490699119, 880590656, 967127542, 339907303, 693861073, 628440621, 358719585, 18930647, 964845368, 560526615, 962199959, 223739629, 800582786, 92230987, 554122865, 208269978, 156616935, 722247303, 212107747, 336913454, 470215727, 735072764, 751730137, 922300364, 739369009, 996432732, 105052884, 239468319, 837695955, 851342685, 765467012, 819214470, 328141344, 407784876, 146195676, 267760820, 389030005, 655553707, 200457282, 103736346, 76455386, 620085414, 883652446, 144547203, 38126878, 935340212, 850726743, 49980799, 949857161, 952220655, 809003530, 288071195, 604565377, 264205848, 125141087, 532858688, 734243958, 191777231, 561175909, 319396276, 51667175, 597058588, 913242814, 609620623, 554393681, 704899336, 315458568, 306750948}

103

Returns: 4294997
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701037947, 563369115, 614101244, 614976214, 934497394, 428177008, 199402080, 165001030, 478308303, 137327157, 462768793, 561212803, 546761435, 63634731, 26590310, 62612847, 577383807, 547979336, 134835639, 5949657, 492102379, 626060823, 756347009, 928693498, 776813051, 368979215, 784327985, 551018461, 688132167, 382062756, 950657560, 511623887, 371562091, 149583797, 914822798, 410140456, 496648917, 297465646, 256917835, 760952899, 554994362, 242442608, 425121229, 506121059, 884774832, 646325633, 646038425, 852248786, 100576261, 978199767, 840334878, 290361265, 321780086, 645887907, 682299930, 114963531, 860633217, 51587725, 224126070, 133564795, 952053152, 729290628, 581637339, 72053300, 480282868, 134122923, 529684067, 609460698, 670861878, 141607442, 749264514, 242593423, 561952001, 455841314, 97457537, 700528415, 237691438, 47336254, 678860495, 563939450, 165507043, 7036398, 876326385, 589822274, 200816789}

72

Returns: 112903
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89

Returns: 177686
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107

Returns: 588271
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40909746, 613286737, 191284391, 24779633, 946351178, 42408935, 917983895, 81344101, 423458058, 74504008, 722522149, 847742672, 846124060, 874816498, 98480350, 670007953, 487141028, 492379105, 257001822, 27023239, 726714945, 229366426, 612053217, 439662871, 306797870, 921091049, 648644816, 319436325, 765748062, 430034771, 146594633, 336086116, 642989385, 578439181, 610858573, 291261260, 859656538, 829313334, 974119343, 290593171, 876796984, 476618083, 369796520, 74619902, 921794418, 635891910, 999219346, 175396351, 683089521, 226344407, 130175759, 316264516, 132944760, 738321335, 415368497, 825098156, 572815669, 389746542, 932367972, 534106603, 281983723, 594783536, 762518190, 508829423, 974090241, 348011061, 108356263, 614989010, 145435486, 106318728, 298971690, 209149588, 358738979, 198452237, 504313544, 89881403, 760035831, 378172421, 163083861, 70849168, 816287488, 521135089, 90405442, 727346057, 133597773, 884101981, 850205020, 725907504, 593045642, 322340962, 741692423, 681436763, 707832835, 524649530, 182809335, 51360720, 829175279, 463978079, 101426679, 482278455, 874553272, 147634804, 384604546, 144146545, 784286192, 274528815, 828206738, 799623817, 168049489, 115550149, 635872752, 633912332, 151832780, 340590764, 350763546, 302961539, 796460498, 587342858, 448149848, 551606027, 803944092, 53064794, 290506542, 193845846, 20014054, 521472171, 196634876, 664070932, 72298306, 58410718, 135932513, 479849023, 105175555, 658070010, 881161248, 461753426, 572139235, 946343630, 63609160, 540015016, 528893431, 790855563, 867572909, 43720890, 223161097, 369001209, 155793635, 415050855, 496714991, 292055675, 764904831, 119260707, 899801897, 660457089, 409873655, 269309978, 446949139, 685224384, 374237012, 946138654, 887845488, 762194665, 81524711, 836258106, 92789758, 879547233, 663518762, 18955767, 98744807, 544520231, 904419465, 596758920, 972441635, 644425020, 995742429, 100829047, 378913444, 120096270, 722858783, 457864288, 830492167, 124778043, 465310845, 850492575, 829226435, 448326562, 887328679, 479261049, 610939486, 558901196, 157115867, 948685105, 65746791, 278286580, 552593668, 640971753, 620286252, 200155498, 34086855, 378302351, 22984744, 256710915, 301692270, 649412093, 507823960, 872849565, 893030778, 424770292, 28969059, 440716601, 857574991, 162325174, 351968481, 227438159, 732838989, 295283084, 95729347, 859630303, 919585644, 421955149, 585194793, 127774620, 896733809, 857831569, 39312498, 68992916, 394672491, 827571099, 881893181, 126179417, 856982055, 926954184, 46822560, 82399632, 832637350, 331679576, 12363855, 946244113, 19554472, 726669124, 73400221, 222388342, 367152408, 89827234, 231103245, 314800086, 200869352, 900622453, 918317448, 800142372, 117680362, 647558122, 959698468, 974430701, 199221709, 843360899, 770567516, 77252219, 165908476, 221229922, 892647608, 269175536, 911613702, 132637200, 319079850, 474517478, 786646034, 467738477, 135893850, 109170449, 376846598, 467921943, 340653126, 160164757, 76972501, 536631756, 485658215, 895982830, 322690399, 665591814, 195539491, 826330791, 770995948, 289337228, 30577571, 107124608, 596095548, 724780807, 389506279, 567749700, 399474017, 337629288, 555731908, 614579110, 646504311, 426754552, 142929354, 208325042, 14513868, 429295618, 821448620, 28075874, 875540650, 180097465, 207860739, 554513879, 607743998, 908685973, 694270351, 900697114, 767412275, 419910246, 984101052, 259102040, 612823919, 233337403, 495252685, 262392324, 844470066, 14528914, 75790058, 93643094, 382626356, 771414442, 51749795, 234786174, 359615535, 569599979, 433801634, 600389994, 775307799, 930019280, 2494964, 963824387, 662543872, 644140138, 901271703, 493696649, 135399545, 24182203, 746116469, 218776193, 454313390, 579642362}

85

Returns: 100952
{812011520, 410730160, 382944666, 982832941, 495677504, 270695681, 399727074, 814241677, 776711602, 181004730, 102053399, 49736214, 520074543, 571972969, 542771215, 930097541, 722623459, 951032193, 342582418, 99274507, 602161705, 137077817, 419446809, 355256410, 788741582, 814216976, 562477626, 80433527, 465696260, 516505849, 582705030, 917524798, 973515572, 145750018, 199968479, 168169027, 976895913, 626178318, 676443979, 540284108, 111710981, 925376129, 92099965, 324470295, 917080675, 132937439, 206113078, 865243026, 914089394, 289608738, 678812907, 653910, 751825968, 561523624, 787293283, 847165365, 686444564, 693669108, 28703552, 128441868, 545732753, 219033534, 220248937, 229888265, 668026547, 833845092, 419616, 803540791, 855236718, 62886105, 339150110, 275278236, 38011106, 870214205, 295744856, 517075026, 134731948, 31455747, 257449087, 230841965, 793288504, 54610481, 341123894, 536846163, 257017894, 275547848, 620498988, 660713009, 19976197, 897320314, 500447795, 333163964, 863110357, 282143021, 247913346, 752426981, 601205654, 788479221, 173320756, 688386406, 691813421, 374597838, 275631462, 723345, 40320822, 939012803, 292769779, 226627751, 655623948, 620172919, 785816328, 780706910, 574515143, 312905845, 150233398, 228473950, 317038315, 719974960, 314930994, 132376523, 555284361, 157982301, 303505250, 672960389, 331257929, 489186299, 73187448, 274107938, 303482747, 338464938, 537268992, 319035093, 563332456, 598484144, 618640514, 221369079, 982579957, 366481519, 932894977, 876062730, 537705577, 644133824, 141278184, 59226474, 465879137, 794466470, 29154937, 377012322, 14070332, 357356116, 642343833, 301507331, 936142038, 151921328, 373129359, 186314416, 107400148, 652537105, 149368676, 266380196, 621870118, 68991087, 545300098, 121313796, 779817389, 99421072, 294575275, 732845093, 478300521, 691182325, 89450138, 96211399, 327109304, 454744973, 386688335, 292061958, 544621890, 651202513, 135155317, 575033213, 988927717, 28721107, 525610765, 922841074, 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97

Returns: 405295
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370

Returns: 4659822
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194

Returns: 898469
{274977440, 73354543, 778884626, 703579924, 680810412, 105449423, 110912649, 600526319, 460377320, 858989546, 197546508, 794304563, 864220774, 235512088, 580018147, 65259940, 756873746, 577811135, 739150286, 576143193, 635046531, 303003363, 924997880, 556557004, 175780199, 919769280, 996229125, 216075418, 576016590, 791925337, 104084031, 571493243, 864870100, 845663836, 457510849, 686230809, 49306796, 14260355, 679593433, 181996343, 183737449, 596240262, 318539910, 957580031, 639541944, 790956363, 62747920, 412586911, 378719023, 188864175, 91438243, 128420370, 552748568, 526301393, 190735267, 156205132, 178523440, 832587252, 867832886, 75692976, 102029440, 323616064, 823778283, 77812819, 122742943, 635494868, 902982717, 426728522, 307630919, 727529489, 334648661, 200004188, 888229092, 852359997, 841304161, 9790157, 96691296, 383814497, 473461722, 212086559, 46142260, 77409990, 848836567, 258046900, 455503095, 864168085, 284459417, 857659326, 420453690, 458876544, 39417488, 638208567, 291216708, 95451093, 691459024, 161327774, 699576825, 495485128, 255246761, 778689414, 7603427, 618769855, 978163195, 984218852, 839215792, 581148877, 228660189, 749645439, 584835968, 967314095, 752518584, 417470714, 983719116, 356265357, 306145528, 182890247, 972901215, 782604797, 601871869, 954532766, 746283157, 544368804, 889422814, 793422183, 842460006, 830991335, 411431850, 74875440, 935360665, 810873924, 48692613, 362901342, 540152571, 117804450, 55853700, 109057797, 735732714, 859291755, 341760178, 512115848, 250513243, 340156985, 764180492, 40362400, 469252549, 425381586, 19822179, 490967674, 832892730, 809545888, 56490334, 607394065, 68007009, 223370542, 701062752, 615366290, 864711123, 873137837, 300451851, 769527121, 811584446, 315523058, 146459070, 642905335, 413997074, 37521620, 941863813, 736834920, 744894225, 459030906, 90541773, 644362437, 495270719, 860465928, 113708955, 120712283, 571666418, 9913270, 452910590, 233751089, 445706267, 767639152, 968294641, 450475918, 369312654, 18004887, 651879467, 36242672, 508915730, 147429555, 905216444, 363428390, 944821029, 574755937, 677194169, 837147455, 477494592, 730295234, 619601939, 858769708, 94414959, 116877886, 229326466, 925427793, 918586927, 726731378, 138003068, 177930624, 109695399, 21059067, 729353662, 707512534, 909263007, 114038076, 642137214, 624062849, 764199392, 880003118, 24002814, 599789666, 195765592, 241053761, 427167288, 959975771, 152211565, 194478352, 957374198, 69482201, 2027617, 296837966, 417929711, 348803371, 35412030, 391174449, 509790124, 835268691, 535974841, 1385370, 937157044, 855702329, 819464689, 386910802, 219166603, 107995168, 191669867, 147514455, 463654671, 30603431, 344604752, 686154348, 622367135, 601235191, 595986794, 246795899, 33921078, 651608797, 831748810, 609199949, 170920981, 196200112, 809156776, 297102724, 919724872, 371465255, 329120950, 647315949, 504823551, 44153011, 932121502, 399012197, 74023842, 279823298, 204550039, 448231856, 243772749, 223451848, 398559280, 271905961, 133181130, 13801337, 364201031, 704854926, 179483059, 460561847, 602883534, 760422662, 63868256, 621922540, 79763352, 286315560, 23195109, 102451374, 757580730, 109615755, 132098912, 946124174, 92072630, 173885085, 460009671, 425169967, 77068463, 150854860, 65815415, 650199144, 684277971, 51459356, 969148013, 221777280, 464602062, 885833187, 887517785, 493848863, 161380071, 308722501, 663333847, 839350360, 739289433, 505111443, 854035641, 160450346, 65839169, 96858585, 357103929, 189739822, 597598688, 615381378, 302339533, 348668343, 266077982, 155382165, 525334520, 339377902, 482302234, 640690160, 809797728, 307319816, 853538486, 809164279, 255168274, 441259873, 302786843, 335931648, 688051538, 804762500, 773221567, 376835289, 148896381, 890350495, 54046090, 427538686, 824463012, 495217096, 168166526, 355751057, 107603894, 82479074, 257231163, 490186623, 477375394, 97746279, 154630736, 587184287, 553299643, 52239587, 727846476, 862305238, 192456558}

132

Returns: 1950533
{925994931, 345843210, 967531954, 851688521, 374462116, 620431159, 719609686, 246608596, 760459989, 429893943, 844062293, 260180638, 302180571, 888943028, 748183475, 958542597, 993680760, 419383397, 35752613, 848916967, 772835591, 765070369, 985718741, 289717494, 151779371, 88426781, 685558631, 878691997, 341336709, 756810181, 784028317, 260703281, 62373330, 175962043, 675819826, 85763300, 225067461, 842808399, 170301663, 305192830, 493740979, 856268226, 84695360, 519849208, 564382884, 705999780, 71742613, 273770992, 777782603, 256070757, 928255494, 502657545, 831968364, 846764010, 374330940, 867174230, 358541351, 605448916, 479346227, 222064715, 233215209, 362569461, 82595389, 961341415, 716323069, 655912203, 389752909, 805145261, 109486267, 542411527, 441940227, 225874078, 91316737, 639566689, 967925974, 481317933, 912511156, 991749300, 369457241, 259180633, 708913535, 903369471, 447222870, 856494659, 879468759, 613135294, 716506395, 632735486, 890300829, 251564025, 329835080, 52993213, 919650140, 501191104, 152943243, 64976662, 985770548, 244544330, 130269480, 36902095, 92513122, 25786303, 825858358, 34173725, 437510043, 484289868, 671997365, 49740870, 438284890, 209450936, 501943986, 505275052, 766849617, 323363078, 69837970, 963799913, 541960045, 946279118, 104135090, 993219286, 340746175, 826262338, 231098996, 314463971, 416248148, 822608117, 816041119, 301486421, 31717499, 645788396, 402305086, 372954283, 977291874, 102976072, 241760587, 129083813, 812406487, 869897358, 324509869, 775943433, 209024694, 242180532, 518589123, 81444110, 579555285, 40781933, 535129084, 295695442, 585302946, 163697145, 834166794, 829545026, 369558351, 746821808, 852793559, 511483844, 227137547, 311851344, 209711504, 308431366, 137785158, 975425416, 186127215, 288874316, 290996964, 95256034, 743247094, 926571841, 702196255, 599188472, 798832336, 862807313, 475466363, 897531011, 123653192, 837924471, 703359096, 271382149, 427470377, 148153883, 587013969, 483605328, 804260150, 866370587, 315297829, 315241201, 552345437, 431820160, 311450028, 323942719, 681075773, 420417594, 390513552, 97779058, 282469921, 24071425, 449179647, 132018349, 772043677, 243473191, 396703449, 190303064, 22116291, 556505729, 891370757, 412355567, 229445612, 932650352, 716794224, 655586578, 986778433, 468888181, 861480735, 525983836, 10321081, 958683107, 649596459, 684650104, 153470276, 40388354, 131629801, 669376686, 56008693, 189246454, 779418453, 89548074, 87652868, 647782570, 499369171, 26309425, 120998312, 125996101, 761183935, 540892434, 93563752, 873903667, 352118201, 563350135, 610423046, 925466045, 373698420, 218083179, 366449882, 843242594, 946607788, 902828303, 691837235, 542721244, 257131742, 440009020, 910681552, 854275170, 225241494, 255277395, 855463940, 754145383, 105341883, 393798266, 83659243, 99823554, 729703783, 372455500, 860649457, 54492356, 832075121, 344911690, 146376183, 40120443, 32392389, 83099370, 156628319, 443251419, 997140099, 86546857, 195796934, 799627642, 505463406, 776291051, 106894084, 522922996, 812648481, 290456836, 276526987, 469362922, 539459312, 427865731, 396931225, 226139706, 999392827, 646909998, 907067290, 692702425, 675849064, 341263864, 694480786, 507784993, 173821472, 430291659, 166223149, 602556906, 72808938, 403943516, 338184760, 800183828, 567137330, 11194070, 558089024, 572926038, 871847763, 809242294, 917460060, 337987173, 423157809, 653168631, 214785078, 64250288, 736631376, 629721970, 592875606, 117665716, 269693850, 948166504, 644953046, 725301953, 49377393, 800174169, 477506919, 411186810, 29266000, 584526928, 1705554, 492165853, 389597102, 296894505, 599701568, 720777260, 918138168, 439007190, 79255125, 997548034, 645412134, 517816997, 787703780, 976260544, 671761920, 94800508, 219801034, 730969970, 495501888, 582741099, 662980988, 637695093, 542084398, 414042899, 890444334, 980783126, 183585717, 635674795, 757304867, 443206668, 10078565, 52234425, 615730170, 267829210, 516833186, 237020551, 784789890, 577811195, 378273685, 249385952, 97822710, 952005651, 253039103, 559629567, 459962319, 330263891, 51315781, 326620386, 204131309, 47588786, 540277183, 233804878, 696830534, 219539059, 630021943, 982883935, 504084257, 950102107, 901574020, 236962383, 310533025}

45

Returns: 434195
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287727574, 866756460, 61225691, 424669892, 138894349, 84381880, 37754402, 317531252, 984555589, 37884172, 242174108, 837165773, 739674733, 310231149, 497417848, 903109423, 967425737, 217881450, 611970087, 679265161, 1614157, 1685543, 702721590, 300993938, 40873328, 388698752, 60850658, 877096643, 272556912, 925726463, 530473213, 842455998, 415569196, 575488859, 390820780, 886327150, 761691039, 101839734, 817715942, 618968354, 436317945, 547964345, 419143079, 647769957, 456801261, 469512381}

190

Returns: 405273
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6

Returns: 79703
{488095291, 409818506, 82256646, 472894679, 504584171, 616037383, 277254740, 110235484, 436654420, 896511210, 665129437, 170894463, 85343628, 759700140, 538212844, 273577506, 652615184, 821075735, 127329523, 31761532, 325185042, 205210614, 576285384, 754010636, 854916651, 30160403, 309788851, 535689531, 774637636, 705753302, 497603277, 10864939, 664194971, 746582926, 146174709, 200948748, 942609127, 761392564, 891527350, 779585410, 285249869, 196070253, 67661546, 197175258, 148552861, 110606550, 17959760, 399840784, 379192302, 953513905, 764249897, 275092470, 700414464, 361389311, 78618187, 323290162, 706397541, 253038037, 479427396, 44379668, 978437416, 681670135, 536182568, 369647410, 260381321, 718785050, 121930968, 525736053, 821446836, 201174654, 990975132, 18826722, 529748240, 711853121, 938397495, 920937151, 792388276, 552602215, 122602976, 502574693, 452630790, 243338218, 401980345, 419831907, 751711890, 783418127, 628744609, 654704328, 396081534, 990957891, 458446592, 841761677, 518299071, 162470717, 540225697, 740681251, 80054634, 121382969, 532629419, 577277844, 35966187, 750809512, 670936182, 129990184, 151006502, 130244499, 652483491, 580329810, 88515608, 841941447, 930043181, 734506335, 873901288, 393620862, 261482762, 444664983, 318061980, 135934528, 642385607, 764139235, 331384393, 235648481, 301264051, 511251031, 849197542, 12457859, 999417929, 397686661, 135541758, 76806813, 823867613, 382108249, 435434022, 962453667, 130923626, 185955454, 59088119, 578504342, 440541499, 113647774, 491219887, 118793724, 394747526, 395370330, 187977358, 437583368, 515338897, 138233551, 729980037, 611237527, 869588075, 79617483, 973769762, 709035437, 462253312, 86862960, 310098305, 787752955, 159252870, 112076853, 713106493, 143016171, 184811654, 165696775, 722041392, 833780890, 566085713, 953749199, 170446832, 67527227, 881808163, 640318485, 547937242, 936560803, 641742129, 710529231, 504799537, 126970716, 389277410, 113148257, 521078752, 624533848, 175635556, 963280127, 797171786, 97174248, 479585194, 999734094, 732730613, 393511343, 396700261, 883201474, 535012066, 634796700, 213961715, 170418975, 662758361, 981279085, 116655591, 410393920, 59785174, 598364018, 112291970, 924455831, 453339723, 383613091, 455012998, 903746356, 300328904, 608434413, 500159736, 944601462, 374043914, 689840069, 102874543, 18831071, 273120318, 667549506, 221889242, 862820562, 246803905, 687255087, 393833114, 16429064, 105127765, 285508228, 418234143, 273848863, 4364867, 393135959, 78510185, 690652958, 468213493, 513959912, 812336311, 929536165, 730884296, 43070817, 523036106, 402072551, 58415129, 11651242, 585058857, 315624832, 33162867, 249888946, 585290726, 582645363, 224400080, 644474324, 237576720, 531031709, 441671111, 650828151, 495927662, 50842025, 889162918, 932124156, 270396606, 36408328, 953816548, 130029579, 497480237, 853616865, 71574362, 445191914, 331890887, 157940398, 873038665, 893481088, 476217944, 731400747, 832780521, 351164159, 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29

Returns: 91456
{2808124, 229786574, 524359187, 152584848, 872269112, 641371237, 439683162, 729998131, 871831221, 997884332, 786334464, 766676301, 183203641, 513295973, 452237909, 965887414, 733903686, 962961901, 681314030, 225045722, 785955033, 488890502, 689909646, 146445883, 204168746, 670122069, 853411732, 541511962, 613549759, 667787378, 419663339, 87026499, 101151689, 111941211, 118195536, 986888787, 179024217, 327267767, 183231924, 738908508, 686219258, 729059021, 972815939, 764563715, 505899096, 986395755, 330504776, 460382849, 676638206, 466711554, 61771847, 620938757, 422051042, 566519386, 229328992, 364226895, 332764372, 642439179, 95791091, 762516977, 669394514, 932959998, 895529329, 924992923, 724189790, 974965508, 726930836, 113469896, 288172395, 396531253, 189435260, 991641958, 572324482, 721436465, 565788257, 240942962, 916018151, 410662398, 781019693, 895164815, 60520417, 363202516, 405315613, 237208241, 164688285, 636803626, 152458991, 994522028, 751045992, 519555605, 116523903, 148108303, 954843781, 764306289, 996424785, 432264212, 301632086, 93966508, 468348563, 362052746, 797438653, 954866274, 160949305, 808822375, 177341986, 322662809, 215724831, 413330765, 994436984, 976190114, 187342621, 448138532, 757519499, 922223895, 653492567, 136101754, 510449493, 975944034, 486106738, 718612564, 453212308, 39636296, 776714827, 984354368, 353903425, 66441208, 959280250, 140784869, 24937487, 51522813, 52859403, 983847953, 912000457, 570786088, 728142194, 456866649, 772979567, 163900439, 512787652, 785176841, 332913761, 323318983, 702262724, 301900335, 353112306, 629491544, 987379128, 867627779, 277381852, 45430333, 839080549, 143897709, 475136974, 637434367, 208880780, 409497570, 602337342, 829017416, 543047358, 470951358, 891890186, 108856165, 937948065, 776643867, 556459462, 14084645, 764102896, 950618085, 535989609, 481794100, 975264682, 522187864, 55811751, 291261130, 934690664, 770779448, 765713950, 119281413, 597693227, 429729283, 390341813, 74072020, 842568573, 978913856, 936433398, 216084824, 331034754, 427898387, 741254757, 215400497, 234042005, 28990645, 771536823, 773129605, 583970890, 243134781, 74096883, 651195474, 944430830, 330587929, 388436607, 574366210, 232741045, 97033612, 499306171, 614221354, 655614736, 859804420, 555492482, 705344286, 7161035, 727067, 674891451, 866047753, 60330142, 949206472, 141772903, 642335171, 105879903, 400344902, 726987710, 532043706, 15558530, 193519695, 127078913, 333141557, 890276339, 280419690, 190860790, 14773250, 794217016, 789979905, 947173217, 910630158, 22032544, 755359743, 97721908, 143346773, 277301783, 986678746, 930818021}

47

Returns: 1336590
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16

Returns: 482087
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733274803, 976775797, 276895805, 708378817, 154537060, 140093091, 693615636, 119255007, 407044627, 256721649, 517189036, 615461892, 561405733, 257173699, 623135906, 264732301, 470124171, 473046363, 904988878, 150098948, 762609529, 97027125, 435462464, 749126372, 813425742, 480994951, 181525110, 471495335, 393439054, 32181218, 62220023, 896640759, 538369364, 129339926, 107509173, 247080305, 297404415, 845261433, 887070348, 399338235, 145817354, 289406423, 936634087, 499669694, 308819642, 558788737, 861991792, 205205029, 4300894, 248064287, 190575967, 354655480, 625570646, 647635777, 786546748, 572128182, 79200702, 718330566, 349637102, 77927522, 520818336, 592205916, 532565888, 861650748, 987207646, 309923078, 249836920, 908454175, 573839737, 234568058, 421702196, 741350787, 83043305, 501377989, 118849653, 117424237, 587871464, 436523436, 906076337, 850883922, 125674752, 459758624, 982094276, 493473171, 988430099, 70908410, 482705855, 967812361, 273084638, 85288006, 843079961, 914541315, 241596208, 872130823, 477275412, 686034014, 130764802, 359544928, 471243053, 939404917, 901652509, 988543253, 76043533, 310005922, 579155039, 430041817, 688453712, 786367128, 661897608, 298459982, 952056536, 112798898, 148860178, 955215250, 892925042, 244238927, 67557632, 884396690, 213895723, 487391837, 107454515, 650293867, 595982750, 528668527, 223770528, 414946666, 876045886, 790911916, 203448514, 636451631, 902582178, 283960156, 876843726, 969752897, 101392588, 131374712, 492327212, 494170181, 801014557, 238762, 368021254, 935639422, 819398433, 349586306, 469065307, 2287564, 100604756, 368456284, 408195632, 984199210, 219804577, 717863618, 173338445, 247035385, 328498105, 940211914, 827693662, 543029302, 928052091, 361226193, 661551242, 528783936, 374391864, 638478215, 783324678, 242338219, 798949302, 780684755, 550834152, 777794212, 598936912, 616458523, 477106478, 924566635, 966917075, 668935785, 845204928, 820090850, 977471347, 271375778, 636206184, 579671412, 492179036, 384564877, 238336162, 861649037, 65954695, 203230662, 639735834, 329414248, 130757307, 795223240, 892549451, 674096053, 201276177, 34940989, 402252064, 498439752, 131548574, 184725165, 456258294, 2491230, 213928857, 597036364, 562264573, 56881112, 254620071, 703397126, 348849529, 141569699, 562666487, 354426206, 912950802, 314255507, 290132071, 238611387, 803967379, 647233541, 381861439, 64213238, 884502203, 283772931, 440129745, 564072410, 583399034, 246262598, 332226628, 690512183, 293728234, 792493689, 677353988, 618503632, 217826188, 393123916, 186759622, 34234366, 782585511, 474202891, 635251734, 282201, 534163708, 206744987, 399514169, 759676969, 720590261, 212195195, 145659370, 764285705, 815326925, 45469669, 615727876, 455959515, 187509627, 389242546, 805348233, 488572168, 101443014, 624864191, 945585660, 329955521, 866048628, 216670015, 572828425, 703988580, 575935331, 158333998, 457205638, 955139941, 833952175, 932989783, 855609979, 661703119, 436206732, 358350349, 472581430, 600853968, 540837885, 364713726, 263583295, 119488439, 995269232, 681404658, 134845794, 591399461, 828837916, 367091591, 677477765, 93516455, 778557388, 140591408, 205967955, 741967980, 24625398, 997908924, 526203655, 650393479, 130144935, 939648563, 999046522, 700971694, 445141423, 506263988, 814962778, 279518043, 901688537, 666401412, 188551683, 622306945, 793404980, 336580301, 431320622, 761486164, 569913619, 769139070, 679187654, 891975858, 170047021, 878632639, 250229723, 346077997, 107462117, 567892496, 761237680, 393225142, 989164197, 224656381, 159191534, 101559527, 162799459, 431046528, 357293820, 18794220, 186446918, 834257651, 252031590, 262368271, 30852449, 716032176, 142791034, 655655325, 897432818, 528593149, 603279798, 454791003, 151928011, 43438979, 129371484, 723987225, 933950772, 498801681, 357536377, 486865750, 584812405, 869944978, 651563588, 588292864, 581971190, 253253191, 416730065 }

444

Returns: 1589374
{795755685, 581869303, 404620563, 708632712, 545404205, 133711906, 372047868, 949333986, 579004999, 323567404, 418932836, 944672732, 196140741, 809094427, 946129058, 30574577, 182506778, 15198493, 150802600, 138749191, 676943010, 177512688, 126303054, 81133258, 183966551, 471852627, 84672537, 867128744, 857788837, 275731772, 609397213, 20544910, 811450930, 483031419, 361913171, 547204602, 892462744, 522136404, 173978710, 131752569, 478582453, 867889991, 153380496, 551745921, 647984700, 910208077, 283496852, 368550363, 379821990, 712568903, 40498239, 113911604, 103237637, 39073007, 684602223, 812852787, 479711181, 746745228, 735241235, 296707007, 262522458, 870676136, 136721027, 359573809, 189375153, 547914047, 198304613, 640439653, 417177802, 25475624, 758242872, 764919655, 310701088, 537655880, 361931892, 14685971, 213794688, 107063881, 147944789, 444803289, 884392679, 540721924, 638781100, 902841101, 7097711, 219972874, 879609715, 156513984, 802611721, 755486970, 103522060, 967048445, 913778155, 94092596, 519074050, 884870761, 248268555, 339840186, 53612697, 826647953 }

42

Returns: 12866316
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200

Returns: 25
{1, 7, 10, 12, 14, 17, 20 }

2

Returns: 3
{1, 2, 3, 5, 6 }

2

Returns: 1
{3, 4, 5, 7, 9, 10, 14, 16, 18, 19, 21 }

3

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

1

Returns: 0
{1, 3, 4, 7 }

2

Returns: 3
{1, 10, 11, 20, 41, 41 }

1

Returns: 0
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2

Returns: 3076
{1, 1, 1, 2 }

2

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

3

Returns: 1
{1, 5, 6, 9 }

1

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

2

Returns: 1
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12000563, 77466364, 20241970, 9242891, 39712624, 67222279, 24917314, 90245762, 67127011, 62834841, 4576979, 83646001, 9207395, 34734508, 23187657, 30166552, 24761787, 6993432, 4554545, 19880740, 92408777, 88507585, 5074253, 44374109, 8275515, 97991455, 98595020, 1783029, 7466672, 58592371, 34756664, 15867948, 85684025, 7424544, 2916855, 29306009, 89114982, 67780553, 5986289, 65768164, 92508360, 94411020, 48255380, 28195357, 71419462, 8408488, 55308354, 79743900, 6985789, 55794245, 81369881, 24582467, 28738284, 89665275, 48300237, 14318910, 8898568, 40621835, 78847940, 18069685, 78169652, 23289550, 98709267, 45747468, 68000111, 97619590, 92486328, 17097774, 68625582, 80889296, 50607937, 48637875, 26245436, 94558232, 66566973, 49983029, 71319799, 94139071, 43874588, 51766298, 93369090, 96102647, 67029091, 14958112, 29966613, 50957464, 56872113, 96923782, 23551952, 22329231 }

500

Returns: 697035
{90, 100, 200, 300, 310 }

2

Returns: 10
{1, 1000000000, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

10

Returns: 999999991
{42, 37, 84, 36, 41, 42 }

3

Returns: 42
{1, 3, 4, 6 }

2

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

2

Returns: 0
{1, 10, 11, 21 }

1

Returns: 1
{1, 100, 101, 200 }

1

Returns: 1
{1, 1000000000 }

1

Returns: 999999999
{1, 2, 10, 21, 22 }

2

Returns: 1
{17, 3, 13, 3, 2, 17, 11, 5, 5, 7, 11, 7, 13, 19 }

7

Returns: 4
{68, 38, 54 }

1

Returns: 14
{857711489, 333477552, 335376343, 979906859, 501354200, 971073502, 971073502, 914752556, 886792361, 920753119, 150230298, 305807314, 990855191, 436689709, 672827318, 770477832, 771912000, 825199918, 660794878, 129374395, 829920505, 202865551, 32842013, 627331363, 997526388, 646129444, 692227118, 5673374, 352493820, 31088708, 362654602, 762223619, 207742099, 920869824, 17695513, 513045144, 773531407, 480666525, 185499611, 649192208, 693130471, 68586371, 257545285, 560871222, 991046083, 7171826, 826652579, 1000000000, 931720362, 618231849, 124214006, 132094493, 982795156, 935915660, 192084554, 681363784, 877857595, 259484484, 762551683, 326182869, 580785977, 484479351, 572407724, 643860376, 446582427, 999229333, 568106390, 39069032, 829286307, 310587084, 603990834, 434567514, 6258989, 2329634, 789999792, 12619568, 888309914, 905573278, 631699411, 772103602, 393441178, 927446787, 718301602, 174109763, 141769403, 162292475, 478858006, 949060380, 813696539, 6962912, 140263454, 789520171, 239094072, 847045415, 176287623, 639471076, 674132073, 501551695, 196061838, 751102036, 816640784, 897309417, 387096733, 589365335, 661646746, 544885469, 546879595, 643977635, 118982541, 678022748, 752143618, 699663178, 673146104, 194412855, 549864283, 185003596, 63548577, 553468606, 209697686, 112198983, 158275792, 198246355, 827831114, 908997303, 340810965, 733290160, 767392199, 131530876, 596569157, 459768159, 443796902, 991058917, 376935114, 263520098, 817133430, 442874783, 971073502, 80803302, 629964990, 507497771, 475068010, 449246393, 780708978, 699725158, 478478216, 758899946, 975325313, 640787891, 537243490, 546620668, 262252683, 824482246, 852329017, 815826118, 632582064, 441982480, 882874754, 879379690, 588745092, 293367490, 765400875, 631130608, 515027999, 370526080, 566480635, 497869566, 639158096, 310564375, 761020982, 530997489, 990260908, 220157525, 748910657, 263358330, 139031554, 604868318, 30310245, 548753448, 239785379, 292415404, 836708920, 288488147, 482954648, 622724208, 634983142, 610714730, 236252426, 833723441, 423406165, 929426497, 757079062, 272135071, 266597572, 797634216, 199488287, 127430635, 85118959, 84752190, 797708868, 129669026, 204796078, 777220663, 912866687, 930920945, 687345081, 601233639, 812610283, 577778227, 426344414, 914801773, 27525784, 533846493, 471919500, 828653805, 51940655, 367189987, 418058137, 931732410, 342325585, 398872225, 869981840, 721274842, 138147545, 417260041, 615658050, 299272065, 787288510, 186328485, 672223402, 673948456, 153526804, 842579604, 993318162, 482693584, 373708065, 249174559, 173661561, 120284838, 393647617, 935214226, 686783834, 675271187, 243915561, 858096905, 174302071, 734857290, 200276090, 737903700, 909127770, 706351338, 115815826, 206219008, 629735631, 90332192, 182525155, 958844993, 153117685, 753988588, 1000000000, 582103178, 427954842, 941225008, 504601354, 204996846, 660332539, 381904207, 80640523, 81611844, 842472615, 461984865, 892108767, 229116147, 834481538, 809838352, 610294506, 950755680, 648787684, 706117906, 881322564, 99319025, 639117793, 283231043, 28029897, 356523452, 236637092, 992800862, 567315790, 133391057, 308589300, 120419672, 543005422, 611685152, 82991065, 72854361, 353846402, 919471881, 329650007, 542150703, 290049663, 380012377, 811336017, 523300888, 244000727, 352634025, 83225893, 596234036, 995295539, 663837980, 760321295, 410411835, 304535685, 486792139, 333138879, 756975035, 563222594, 988988283, 37536790, 954640455, 875421982, 281654734, 564226973, 844928627, 3710944, 293499145, 541048149, 906973896, 43917389, 535559182, 61714781, 897862950, 871571714, 789872250, 657240815, 16548094, 341657068, 953562375, 299641794, 827320086, 874499492, 972264965, 747035643, 908374132, 89980394, 240840903, 161460346, 814312604, 693574802, 505971507, 358246104, 425621486, 554517981, 238297781, 756984077, 200242075, 88089572, 897885638, 81451313, 162290501, 168535342, 13747220, 198407519, 109376051, 218014304, 67115958, 567699502, 358008084, 643529360, 158578809, 8828410, 995175874, 747502181, 90631766, 652896628, 373020890, 50615165, 469591236, 984149829, 973787380, 594943981, 148267141, 621177920, 90302495, 420138781, 282916939, 75524702, 785176662, 355121234, 284717431, 737443667, 198566673, 945961944, 654943996, 10542796, 391698423, 33332939, 323058786, 989464648, 791813808, 224844674, 325549799, 429510288, 155215321, 648653977, 178976448, 977425108, 855868058, 620409700, 709824048, 542067783, 489666186, 82570248, 915395992, 441405319, 950055121, 377128444, 450735011, 378440427, 129155197, 815137163, 276611388, 85629403, 693489626, 827070790, 874689929, 957800289, 733243480, 789879521, 782409414, 380745618, 962132655, 733990827, 78850093, 42248084, 226704668, 182837929, 808654097, 565987409, 984867785, 832951373, 757617931, 114486711, 104799562, 184678872, 648288587, 737495720, 310500676, 652686096, 147004293, 510807848, 272551680, 884273458, 937601874, 192280052, 430872284, 440602502, 251696892, 551426392, 710077554, 83142516, 861081120, 419379971, 678705739, 291004238, 638003461, 952496479, 155007702, 269401292, 389360981, 191672391, 68375983, 551939370, 248297029, 767660093, 742790453, 391414342, 458531098, 978570719, 206760981, 795980379, 372923080, 923143801, 158821746, 846657513, 82322731, 857475508, 498835377, 55856097, 380496491, 326756060, 348827842, 590441118, 535565746, 951293243, 21010941, 443605631, 126346333, 959430057, 389051856, 799371434, 63907235, 324525709, 291652579, 863103346, 869190625, 283611260, 99571266, 698275983, 82559227, 67932149, 702696595, 135332206, 61274466, 506570046, 490603475, 791932493, 535220700, 11019631, 845880835, 994714999, 104850570, 474325605, 799577922, 689385660, 535715527, 352249253, 88740597, 267240218, 992182406, 524370193, 456093943, 567861720, 31053126, 269578222, 969050464, 186849931, 101151637, 766535353, 362365159, 872373740, 333845917, 612737285, 698767994, 507908268, 829097602, 570886911, 809236438, 609760480, 77569484, 973700644, 486859523, 631809058, 735539508, 879996510, 507803605, 500951568, 234921284, 619140930, 887349868, 159906291, 233997651, 979771247, 172010754, 11854516, 208761958, 215752469, 769702632, 88268106, 857664784, 638406673, 960446674, 923028426, 396368107, 287788874, 805585659, 550207166, 923709473, 497670283, 799576785, 283074096, 513409352, 876268032, 752846518, 955950988, 367574090, 41136980, 32296946, 604529869, 18178357, 536993376, 31769589, 853862837, 622137259, 805332682, 541831592, 924999871, 759036943, 710939727, 791233279, 245497422, 963999489, 862619794, 53025091, 292020714, 348365707, 778430840, 664082693, 586885954, 816485391, 229653683, 444375456, 440790431, 710082574, 127423289, 680405001, 498305412, 320354975, 614409921, 269249796, 977000036, 371527438, 321871828, 219369778, 297641944, 152707630, 926608604, 164663564, 420828328, 708345224, 288965686, 628357522, 11441670, 533074548, 256136313, 642803949, 969802116, 416956898, 235816654, 94045584, 600423296, 985204314, 275051255, 733274803, 976775797, 276895805, 708378817, 154537060, 140093091, 693615636, 119255007, 407044627, 256721649, 517189036, 615461892, 561405733, 257173699, 623135906, 264732301, 470124171, 473046363, 904988878, 150098948, 762609529, 97027125, 435462464, 749126372, 813425742, 480994951, 181525110, 471495335, 393439054, 32181218, 62220023, 896640759, 538369364, 129339926, 107509173, 247080305, 297404415, 845261433, 887070348, 399338235, 145817354, 289406423, 936634087, 499669694, 308819642, 558788737, 861991792, 205205029, 4300894, 248064287, 190575967, 354655480, 625570646, 647635777, 786546748, 572128182, 79200702, 718330566, 349637102, 77927522, 520818336, 592205916, 532565888, 861650748, 987207646, 309923078, 249836920, 908454175, 573839737, 234568058, 421702196, 741350787, 83043305, 501377989, 118849653, 117424237, 587871464, 436523436, 906076337, 850883922, 125674752, 459758624, 982094276, 493473171, 988430099, 70908410, 482705855, 967812361, 273084638, 85288006, 843079961, 914541315, 241596208, 872130823, 477275412, 686034014, 130764802, 359544928, 471243053, 939404917, 901652509, 988543253, 76043533, 310005922, 579155039, 430041817, 688453712, 786367128, 661897608, 298459982, 952056536, 112798898, 148860178, 955215250, 892925042, 244238927, 67557632, 884396690, 213895723, 487391837, 107454515, 650293867, 595982750, 528668527, 223770528, 414946666, 876045886, 790911916, 203448514, 636451631, 902582178, 283960156, 876843726, 969752897, 101392588, 131374712, 492327212, 494170181, 801014557, 238762, 368021254, 935639422, 819398433, 349586306, 469065307, 2287564, 100604756, 368456284, 408195632, 984199210, 219804577, 717863618, 173338445, 247035385, 328498105, 940211914, 827693662, 543029302, 928052091, 361226193, 661551242, 528783936, 374391864, 638478215, 783324678, 242338219, 798949302, 780684755, 550834152, 777794212, 598936912, 616458523, 477106478, 924566635, 966917075, 668935785, 845204928, 820090850, 977471347, 271375778, 636206184, 579671412, 492179036, 384564877, 238336162, 861649037, 65954695, 203230662, 639735834, 329414248, 130757307, 795223240, 892549451, 674096053, 201276177, 34940989, 402252064, 498439752, 131548574, 184725165, 456258294, 2491230, 213928857, 597036364, 562264573, 56881112, 254620071, 703397126, 348849529, 141569699, 562666487, 354426206, 912950802, 314255507, 290132071, 238611387, 803967379, 647233541, 381861439, 64213238, 884502203, 283772931, 440129745, 564072410, 583399034, 246262598, 332226628, 690512183, 293728234, 792493689, 677353988, 618503632, 217826188, 393123916, 186759622, 34234366, 782585511, 474202891, 635251734, 282201, 534163708, 206744987, 399514169, 759676969, 720590261, 212195195, 145659370, 764285705, 815326925, 45469669, 615727876, 455959515, 187509627, 389242546, 805348233, 488572168, 101443014, 624864191, 945585660, 329955521, 866048628, 216670015, 572828425, 703988580, 575935331, 158333998, 457205638, 955139941, 833952175, 932989783, 855609979, 661703119, 436206732, 358350349, 472581430, 600853968, 540837885, 364713726, 263583295, 119488439, 995269232, 681404658, 134845794, 591399461, 828837916, 367091591, 677477765, 93516455, 778557388, 140591408, 205967955, 741967980, 24625398, 997908924, 526203655, 650393479, 130144935, 939648563, 999046522, 700971694, 445141423, 506263988, 814962778, 279518043, 901688537, 666401412, 188551683, 622306945, 793404980, 336580301, 431320622, 761486164, 569913619, 769139070, 679187654, 891975858, 170047021, 878632639, 250229723, 346077997, 107462117, 567892496, 761237680, 393225142, 989164197, 224656381, 159191534, 101559527, 162799459, 431046528, 357293820, 18794220, 186446918, 834257651, 252031590, 262368271, 30852449, 716032176, 142791034, 655655325, 897432818, 528593149, 603279798, 454791003, 151928011, 43438979, 129371484, 723987225, 933950772, 498801681, 357536377, 486865750, 584812405, 869944978, 651563588, 588292864, 581971190, 253253191, 416730065 }

456

Returns: 1849301
{1, 1000000000, 1, 1 }

2

Returns: 999999999
{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10, 10 }

1

Returns: 0
{35, 36, 36, 37 }

2

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

2

Returns: 1

Statistics

Problem Statement for "EllysSocks"

Problem Statement

Definition

Constraints

Examples