TopCoder Statistics - Problem Statement

Problem Statement

Alice and Bob came up with an idea for the next social network. Alas, Eve stole their idea and has already launched her network. Infuriated by this, Alice and Bob plan to take revenge by bringing it down.

The network is represented as an undirected connected graph with n users as the nodes and m (bidirectional) friendship links as the edges. Edge i connects the nodes u[i] and v[i]. Each edge is protected by some password: a string of bits. The password protecting edge i has length l[i].

They have found out an interesting feature about the passwords: Eve has implemented the social network in such a way that no two passwords have the same length (in bits) in order to make the network more resilient. Thus, all password lengths are distinct.

Bob would like to disable some of the friendship links in a way that will make the social network disconnected. (He hopes that this will make people stop using the network and thus Eve's business will fail.)

A link can be disabled with the correct password, which Bob doesn't have. Hence, he has no other choice but to search for the password in a brute-force manner. For simplicity, we will assume that the time he needs to disable link i is 2^l[i].

Find the minimum time in which Bob can disable enough links to disconnect the social network. Return the answer modulo (10⁹ + 7).

Definition

Class:: TheSocialNetwork
Method:: minimumCut
Parameters:: int, int, int[], int[], int[]
Returns:: int
Method signature:: int minimumCut(int n, int m, int[] u, int[] v, int[] l)
(be sure your method is public)

Notes

The social network is connected if for any two users X, Y there is a sequence of one or more users Z1, ..., Zk such that Z1=X, Zk=Y, and each consecutive pair of users in the sequence are friends.
The social network is disconnected if it is not connected.

Constraints

n will be between 2 and 300, inclusive.
m will be between 1 and 1000, inclusive.
u, v and l will each contain exactly m elements.
All elements of u and v will be between 1 and n, inclusive.
The graph described by u and v will be simple: there will be no self-loops and no multiple edges between the same two nodes.
The graph described by u and v will be connected.
All elements of l will be between 1 and 105, inclusive.
All elements of l will be distinct.

Examples

6

6

{1, 2, 3, 4, 5, 6}

{2, 3, 4, 5, 6, 1}

{1, 7, 3, 4, 6, 12}

Returns: 10

The given graph is a simple cycle of size 6. So, we need to remove at least 2 edges to disconnect the graph. In fact, removing any two edges will disconnect the network so it's best to attack those 2 edges' passwords whose total sum of time required is minimal. Hence, answer is 21 + 23 = 10.
5

7

{1, 1, 1, 2, 2, 3, 3}

{5, 3, 2, 5, 3, 5, 4}

{1, 8, 2, 3, 4, 6, 9}

Returns: 28

The given graph has one complete subgraph with 4 nodes and 1 extra edge to node 4. Although, disabling only 1 edge (4 --- 3) can disconnect the graph, the time required is 29 which is quite high and unoptimal. The best method is to remove disconnect vertex 2 from rest of the graph leading to the optimal time of 22 + 23 + 24 = 28.
7

6

{1, 1, 2, 2, 3, 3}

{2, 3, 4, 5, 6, 7}

{7, 11, 6, 9, 20, 15}

Returns: 64

The given graph is a tree so removing any edge disconnects the graph. Hence, the answer is the time required to guess the edge with minimal password length: 26 = 64.
2

1

{2}

{1}

{11}

Returns: 2048

#Add this as example if necessary.
8

11

{1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 7}

{2, 8, 3, 5, 4, 6, 7, 5, 6, 8, 8}

{2, 3, 1, 6, 11, 8, 9, 10, 7, 4, 5}

Returns: 12
5

4

{1, 1, 2, 3}

{2, 5, 3, 4}

{33360, 62331, 71358, 76647}

Returns: 397996577

PS: All the test cases after now on are generated.
5

5

{1, 1, 2, 3, 3}

{3, 4, 5, 4, 5}

{4222, 7352, 20200, 34961, 52463}

Returns: 628143796
5

7

{1, 1, 1, 2, 3, 3, 4}

{2, 3, 4, 5, 4, 5, 5}

{31, 626, 768, 967, 1236, 1237, 1316}

Returns: 866990289
5

10

{1, 1, 1, 1, 2, 2, 2, 3, 3, 4}

{2, 3, 4, 5, 3, 4, 5, 4, 5, 5}

{10219, 16797, 24963, 34778, 42727, 48630, 58280, 62693, 82925, 89036}

Returns: 457111812
8

7

{1, 2, 2, 3, 4, 4, 5}

{6, 6, 8, 7, 5, 7, 6}

{6094, 17662, 20263, 36224, 41250, 46042, 56406}

Returns: 135042085
8

7

{1, 2, 2, 4, 4, 5, 5}

{8, 3, 5, 5, 7, 6, 8}

{10438, 13457, 29276, 49384, 53608, 55621, 87284}

Returns: 100030286
8

10

{1, 1, 1, 2, 2, 3, 3, 4, 4, 7}

{2, 4, 5, 3, 8, 5, 8, 5, 6, 8}

{8322, 9617, 9946, 16151, 19397, 19781, 22358, 23788, 24819, 24936}

Returns: 141585429
8

11

{1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 7}

{2, 8, 3, 5, 4, 6, 7, 5, 6, 8, 8}

{1551, 2717, 11765, 17923, 22737, 25097, 31909, 32829, 36670, 40462, 40732}

Returns: 556981641
8

17

{1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7}

{3, 4, 6, 3, 4, 5, 7, 4, 5, 8, 5, 6, 7, 6, 7, 7, 8}

{1557, 2609, 4660, 13078, 13778, 16504, 22421, 22970, 26326, 29008, 39351, 43880, 43970, 44070, 45430, 49413, 58140}

Returns: 31729463
8

27

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7}

{2, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 6, 7, 8, 7, 8, 8}

{634, 688, 2814, 5115, 5549, 7508, 11154, 12571, 18669, 18821, 19158, 21613, 22658, 23940, 26072, 26561, 27193, 28130, 28278, 28440, 29680, 29776, 29888, 35926, 41428, 41981, 42514}

Returns: 236601166
8

28

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7}

{2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 6, 7, 8, 7, 8, 8}

{1806, 2358, 5392, 7890, 13845, 15021, 15548, 16439, 20917, 25570, 28089, 30082, 34090, 34714, 36162, 38851, 41104, 41435, 48979, 50960, 54101, 56303, 58886, 59954, 61777, 62998, 63200, 66843}

Returns: 961507352
8

8

{1, 1, 2, 3, 4, 5, 6, 7}

{2, 8, 3, 4, 5, 6, 7, 8}

{1298, 3718, 9349, 10146, 10532, 43121, 43202, 61035}

Returns: 414519891
11

10

{1, 2, 3, 3, 3, 4, 5, 6, 6, 9}

{8, 6, 5, 7, 11, 5, 8, 10, 11, 10}

{14025, 19731, 20632, 21157, 21295, 26991, 34031, 43085, 54300, 62380}

Returns: 927864237
11

13

{1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 6, 7, 9}

{2, 8, 9, 3, 5, 8, 10, 5, 10, 11, 7, 8, 11}

{4209, 8385, 9651, 15043, 24032, 29902, 30177, 44026, 54059, 65150, 67872, 75056, 77087}

Returns: 978198950
11

16

{1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 7, 8, 8, 9, 9}

{5, 10, 11, 6, 11, 4, 7, 9, 10, 10, 11, 11, 10, 11, 10, 11}

{170, 272, 1839, 3201, 4938, 5165, 5643, 8044, 8323, 12376, 13446, 14771, 15753, 15775, 16400, 17885}

Returns: 67042307
11

26

{1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 10}

{2, 7, 8, 9, 3, 4, 7, 8, 5, 6, 9, 11, 6, 8, 10, 11, 6, 7, 9, 10, 11, 8, 9, 10, 10, 11}

{2138, 2754, 3274, 4353, 14498, 14915, 15351, 15405, 16083, 16254, 23427, 29309, 35480, 42157, 42749, 44115, 45174, 48409, 58557, 59652, 60409, 64512, 65167, 66149, 69379, 73360}

Returns: 72704030
11

32

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10}

{3, 4, 7, 8, 9, 10, 11, 3, 5, 8, 9, 10, 11, 4, 5, 6, 9, 10, 11, 5, 7, 6, 9, 10, 11, 8, 9, 9, 10, 11, 10, 11}

{27, 133, 198, 485, 541, 603, 650, 670, 754, 1147, 1272, 1451, 2196, 2207, 2272, 2341, 2523, 2693, 2804, 3045, 3184, 3232, 3301, 3375, 3404, 3427, 3508, 3557, 3702, 3788, 3999, 4064}

Returns: 648531962
11

47

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

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 5, 7, 8, 9, 10, 11, 4, 5, 7, 8, 9, 10, 11, 5, 6, 7, 9, 10, 11, 6, 7, 8, 9, 10, 11, 8, 10, 11, 9, 10, 11, 9, 11, 10, 11, 11}

{602, 947, 1693, 2254, 2258, 2564, 2639, 4113, 4455, 5129, 5358, 6001, 6753, 6762, 7641, 7915, 8084, 8370, 8380, 8801, 9318, 9526, 9598, 9663, 10161, 10592, 10683, 11160, 11217, 16264, 17455, 17583, 18247, 18446, 18650, 18784, 18795, 19197, 20110, 21000, 21093, 22061, 23000, 23087, 23120, 23505, 24145}

Returns: 821200885
11

55

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

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 4, 5, 6, 7, 8, 9, 10, 11, 5, 6, 7, 8, 9, 10, 11, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 8, 9, 10, 11, 9, 10, 11, 10, 11, 11}

{3446, 5649, 8063, 9826, 9971, 10174, 10360, 15405, 16337, 16785, 17738, 18446, 18576, 19564, 21043, 22652, 27567, 27821, 28392, 31092, 31400, 31921, 32684, 33008, 35723, 36229, 38291, 39104, 43183, 45367, 46242, 47654, 48160, 50151, 50286, 50557, 51496, 53545, 55112, 60597, 64450, 65397, 65635, 72318, 72702, 75023, 79529, 80286, 81247, 81481, 83855, 83984, 85318, 85865, 85904}

Returns: 416200613
11

11

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

{2, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11}

{242, 353, 1232, 3345, 3668, 3984, 4029, 5504, 5861, 6584, 7020}

Returns: 76568261
13

12

{1, 1, 2, 2, 3, 5, 6, 7, 7, 7, 8, 9}

{5, 13, 3, 7, 4, 10, 7, 11, 12, 13, 9, 10}

{451, 4343, 6183, 6526, 19971, 28927, 30924, 31542, 40123, 48341, 59776, 61957}

Returns: 68448455
13

18

{1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 6, 7, 9, 10}

{6, 5, 7, 12, 6, 10, 12, 6, 7, 8, 11, 12, 7, 10, 12, 13, 10, 13}

{3084, 4064, 5208, 10623, 11834, 26712, 30778, 37681, 37743, 39163, 41763, 43157, 47377, 47537, 52310, 56173, 58987, 60182}

Returns: 570030899
13

27

{1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 9, 10, 10, 11}

{2, 8, 11, 3, 4, 8, 9, 4, 7, 12, 5, 8, 9, 12, 13, 9, 10, 11, 13, 8, 10, 13, 10, 11, 11, 12, 13}

{443, 563, 668, 893, 1304, 1639, 3821, 6420, 6996, 7074, 7694, 8324, 8358, 8952, 9120, 9953, 10531, 10633, 11441, 12292, 13069, 13612, 13991, 14072, 15490, 15629, 16245}

Returns: 239194369
13

40

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 11, 12}

{4, 5, 7, 8, 10, 12, 13, 3, 5, 6, 8, 9, 4, 5, 6, 7, 8, 9, 11, 13, 9, 12, 13, 7, 9, 12, 9, 10, 12, 8, 9, 12, 13, 10, 11, 13, 10, 11, 12, 13}

{964, 3347, 4679, 5341, 6791, 6839, 7514, 8684, 10695, 11311, 15060, 15113, 15150, 16139, 21331, 23719, 25958, 28836, 29441, 30939, 32771, 32965, 39041, 39177, 39260, 40090, 43181, 46117, 49373, 49995, 50376, 53106, 54207, 54906, 55103, 56206, 57196, 57519, 57638, 58560}

Returns: 520961531
13

45

{1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 10, 11}

{3, 5, 9, 12, 13, 3, 4, 5, 9, 11, 12, 5, 6, 7, 8, 9, 10, 11, 13, 5, 6, 7, 9, 10, 11, 12, 6, 11, 12, 7, 11, 8, 9, 10, 11, 12, 13, 9, 12, 13, 13, 11, 12, 13, 13}

{43, 325, 496, 618, 638, 658, 854, 903, 1159, 1307, 1314, 1375, 1527, 1797, 1831, 1930, 2042, 2095, 2322, 2351, 2517, 2834, 2845, 2981, 3018, 3414, 3542, 3876, 3953, 4304, 4333, 4348, 4368, 4493, 4563, 4752, 5015, 5141, 5189, 5195, 5447, 5515, 5591, 5613, 5871}

Returns: 769730766
13

56

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12}

{3, 4, 5, 7, 9, 12, 13, 3, 5, 8, 9, 10, 12, 13, 5, 6, 8, 9, 10, 11, 12, 5, 6, 7, 9, 11, 13, 7, 8, 9, 11, 12, 7, 8, 9, 10, 13, 8, 9, 10, 11, 12, 13, 9, 11, 12, 10, 11, 12, 13, 11, 12, 13, 12, 13, 13}

{82, 240, 395, 1041, 1165, 1274, 1540, 1650, 1904, 2306, 2508, 3162, 3380, 3637, 3778, 3913, 3971, 4101, 4148, 4218, 4394, 4434, 5107, 6147, 6280, 6337, 6461, 6490, 7056, 8024, 8373, 8924, 8961, 9058, 9304, 9359, 10899, 11049, 11090, 11174, 11269, 11356, 11547, 11808, 12566, 12591, 13322, 13447, 13667, 13672, 15013, 15319, 16153, 16447, 16454, 16470}

Returns: 504663883
13

78

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 6, 7, 8, 9, 10, 11, 12, 13, 7, 8, 9, 10, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 12, 13, 10, 11, 12, 13, 11, 12, 13, 12, 13, 13}

{1028, 1297, 2361, 2364, 3009, 3209, 3220, 3643, 4129, 5311, 5952, 6682, 6736, 6812, 9914, 12358, 12438, 12607, 12982, 13789, 14705, 16629, 16843, 17014, 17177, 18039, 18433, 18618, 19248, 19577, 20134, 20902, 20964, 21060, 21102, 22140, 22357, 22387, 22537, 22778, 22935, 23202, 24046, 25489, 25761, 26337, 27138, 27179, 28183, 28809, 29290, 29591, 29763, 30447, 32290, 33519, 33638, 33875, 33990, 34350, 34582, 34695, 36049, 36066, 36620, 36909, 38061, 38394, 39267, 39410, 39779, 42047, 43422, 43529, 43883, 44060, 45364, 45862}

Returns: 451721950
13

13

{1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{2, 13, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

{1085, 5487, 10027, 15841, 19732, 28349, 34219, 60408, 67045, 68055, 75666, 84018, 91162}

Returns: 971777405
17

16

{1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 8, 9, 9, 11, 14}

{4, 3, 5, 8, 16, 7, 14, 12, 14, 11, 13, 9, 10, 15, 14, 17}

{1900, 4813, 9288, 10858, 16079, 17972, 18387, 31086, 38706, 41229, 41700, 47623, 47777, 48049, 49544, 54423}

Returns: 77802230
17

22

{1, 1, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 6, 6, 7, 8, 8, 10, 11, 13, 14, 15}

{12, 14, 6, 9, 11, 14, 17, 4, 6, 6, 16, 8, 12, 17, 17, 10, 14, 13, 15, 17, 15, 16}

{1770, 2543, 4130, 8923, 12671, 13266, 22533, 27046, 30279, 33613, 38856, 40605, 42994, 44317, 44403, 44740, 46466, 47238, 50717, 50842, 51183, 51445}

Returns: 138187576
17

25

{1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 9, 11, 12, 12, 16}

{2, 3, 9, 10, 13, 5, 7, 10, 7, 16, 14, 17, 14, 15, 8, 11, 16, 17, 12, 13, 15, 12, 14, 17, 17}

{3688, 3767, 9507, 9954, 12041, 12562, 13259, 16675, 17628, 19868, 33932, 35172, 37572, 37886, 39839, 40535, 42078, 43030, 44231, 46868, 47229, 47331, 49399, 49521, 52616}

Returns: 837128596
17

39

{1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 16}

{3, 9, 10, 13, 14, 3, 6, 11, 13, 4, 9, 12, 13, 11, 13, 16, 17, 8, 10, 16, 17, 13, 17, 11, 12, 14, 15, 12, 13, 11, 17, 14, 16, 17, 13, 16, 14, 15, 17}

{1997, 2141, 2729, 2765, 3820, 4539, 11261, 12377, 12452, 15555, 17039, 17974, 18969, 19819, 20467, 21025, 22853, 24484, 25395, 25743, 27066, 27647, 29475, 31209, 39766, 40131, 42345, 43189, 44340, 44473, 47733, 48772, 48948, 49167, 49240, 49242, 49377, 49419, 49451}

Returns: 148722824
17

49

{1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 12}

{2, 5, 7, 8, 9, 12, 13, 14, 17, 10, 11, 12, 15, 6, 8, 12, 13, 14, 15, 6, 7, 8, 16, 7, 9, 14, 15, 8, 11, 14, 15, 16, 8, 9, 10, 13, 15, 16, 17, 9, 11, 16, 12, 17, 11, 12, 14, 15, 17}

{925, 4726, 6470, 8546, 8577, 9007, 9658, 10970, 12702, 17985, 18781, 18864, 20070, 22846, 23066, 26082, 27876, 28188, 29220, 29809, 30890, 32377, 35121, 35226, 35823, 36905, 38353, 38584, 39100, 39514, 43126, 44180, 45029, 45278, 47571, 47884, 48679, 49321, 49881, 51396, 51874, 53437, 53443, 53618, 54252, 54900, 57014, 57954, 58270}

Returns: 978647212
17

75

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

{2, 4, 5, 6, 9, 10, 11, 13, 15, 17, 7, 8, 9, 11, 14, 15, 17, 8, 12, 13, 14, 16, 17, 7, 8, 9, 10, 11, 12, 16, 17, 7, 9, 10, 11, 12, 14, 15, 9, 12, 13, 16, 17, 9, 10, 11, 14, 15, 17, 10, 11, 12, 15, 16, 11, 12, 13, 14, 15, 16, 11, 12, 13, 14, 17, 12, 14, 16, 17, 14, 16, 16, 17, 15, 16}

{450, 543, 671, 741, 751, 1073, 1202, 1508, 1558, 1709, 1770, 1804, 2235, 2820, 2971, 3299, 3316, 3442, 3470, 3668, 3847, 4685, 4771, 5744, 5819, 6021, 6362, 6496, 7966, 8448, 8998, 9010, 9027, 9116, 9157, 9630, 9640, 9841, 10503, 11067, 11137, 11377, 11455, 11645, 11785, 11909, 12652, 12725, 13326, 13385, 13422, 13425, 13749, 13825, 14194, 14425, 14766, 15025, 15177, 15379, 15896, 16032, 16057, 16489, 16722, 17147, 17175, 17344, 17345, 17467, 17510, 17604, 17687, 17726, 17772}

Returns: 217681383
17

107

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16}

{2, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 16, 17, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 9, 11, 12, 13, 14, 15, 16, 17, 8, 10, 11, 12, 14, 15, 16, 17, 9, 12, 13, 14, 15, 10, 11, 12, 13, 14, 15, 16, 11, 15, 16, 17, 12, 13, 14, 15, 16, 17, 14, 15, 17, 14, 16, 15, 17, 16, 17, 17}

{539, 1808, 3280, 3319, 3856, 4630, 5664, 6836, 7362, 7601, 7845, 10323, 11645, 12767, 12818, 13149, 13618, 14087, 15718, 17557, 18188, 18731, 20644, 20989, 21178, 21407, 24353, 25627, 26820, 28033, 28057, 28962, 30217, 30282, 31292, 31995, 33437, 33964, 34172, 34300, 34532, 34706, 35682, 40450, 42565, 42955, 43251, 43936, 44437, 44621, 45042, 47104, 47227, 47851, 48464, 48747, 49008, 49379, 49608, 50333, 50645, 51024, 51295, 51935, 52605, 52830, 55296, 55578, 55905, 56169, 56283, 57232, 57377, 57666, 57805, 58119, 59465, 59674, 61012, 61132, 61418, 61596, 62053, 62725, 63600, 63683, 63760, 64145, 64745, 65112, 65247, 65341, 65640, 65690, 66388, 67059, 67091, 67344, 69049, 69553, 69842, 70238, 70874, 71966, 72091, 72865, 72934}

Returns: 576785731
17

136

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 16}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 9, 10, 11, 12, 13, 14, 15, 16, 17, 10, 11, 12, 13, 14, 15, 16, 17, 11, 12, 13, 14, 15, 16, 17, 12, 13, 14, 15, 16, 17, 13, 14, 15, 16, 17, 14, 15, 16, 17, 15, 16, 17, 16, 17, 17}

{135, 185, 744, 1046, 1180, 1728, 2786, 5088, 5210, 6243, 7411, 7444, 8365, 8722, 9161, 9595, 9945, 11204, 12835, 13030, 13306, 13998, 15970, 17856, 18115, 18241, 18330, 19702, 19761, 19897, 20170, 20335, 20612, 20791, 22025, 22032, 22050, 24068, 24937, 25216, 25667, 26005, 26401, 27305, 27519, 28545, 29220, 29928, 30825, 31027, 31830, 33266, 33918, 34467, 34578, 35522, 36061, 36672, 36865, 37481, 38171, 38750, 38817, 39819, 40776, 41626, 41733, 42060, 42483, 42914, 43441, 44509, 44603, 45369, 45772, 46112, 46417, 46524, 48287, 49132, 49358, 50899, 51159, 51535, 54333, 55362, 55679, 57209, 59898, 60974, 63241, 64725, 64911, 65042, 65733, 66033, 66209, 66350, 67447, 67760, 67822, 68173, 68627, 68647, 69806, 70627, 71420, 71626, 71870, 71918, 72907, 73062, 73703, 73902, 74603, 74857, 75085, 75603, 76563, 77326, 78029, 78525, 78644, 79589, 79925, 80094, 82089, 83185, 83736, 84282, 84390, 84966, 84976, 85304, 85546, 87512}

Returns: 762898975
17

17

{1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}

{2, 17, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}

{912, 5274, 6263, 7914, 8891, 16069, 17375, 20001, 21993, 24958, 29298, 32811, 38953, 40808, 43469, 56355, 72774}

Returns: 504851466
26

25

{1, 1, 1, 2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 21}

{10, 14, 15, 10, 17, 5, 13, 12, 23, 25, 9, 16, 18, 19, 8, 11, 24, 13, 17, 23, 26, 25, 20, 21, 22}

{72, 420, 2165, 3279, 4240, 4271, 4712, 5055, 5232, 6436, 8700, 9119, 10746, 12248, 13230, 14815, 17504, 20676, 20932, 22582, 23623, 26223, 26501, 27776, 28120}

Returns: 80065005
26

36

{1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 10, 10, 10, 12, 12, 13, 15, 16, 17, 18, 19, 21, 22, 24}

{9, 10, 11, 13, 16, 18, 24, 24, 11, 8, 20, 23, 9, 11, 12, 14, 15, 10, 22, 17, 26, 26, 11, 13, 19, 13, 18, 25, 23, 24, 23, 25, 21, 26, 26, 25}

{3912, 4011, 4129, 4425, 5034, 5460, 8633, 9899, 10048, 12242, 14773, 16213, 16420, 16580, 16670, 20742, 21156, 21253, 21383, 21878, 22088, 22354, 23608, 24215, 25399, 25689, 25728, 25763, 26166, 29127, 29615, 29847, 32923, 36269, 37642, 39053}

Returns: 534272127
26

52

{1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 14, 15, 15, 16, 16, 17, 17, 17, 17, 18, 21, 23, 24}

{12, 17, 24, 14, 19, 21, 13, 18, 20, 20, 24, 25, 6, 10, 11, 14, 19, 24, 7, 12, 13, 20, 14, 18, 19, 15, 23, 25, 13, 25, 17, 23, 24, 26, 20, 24, 26, 18, 22, 26, 16, 17, 20, 24, 19, 22, 24, 25, 20, 26, 24, 25}

{128, 2210, 3000, 3285, 3865, 5590, 7937, 8273, 8432, 9146, 9275, 11085, 11207, 11821, 12039, 13180, 13493, 14566, 14968, 15140, 15320, 16590, 19956, 20565, 20797, 21207, 21453, 23580, 24441, 25219, 25377, 26725, 27039, 29089, 29873, 30058, 31025, 31882, 32253, 32564, 33384, 33787, 34074, 34432, 34448, 34636, 35443, 35823, 36999, 37654, 37752, 37860}

Returns: 596002234
26

80

{1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 22, 23}

{4, 8, 10, 13, 18, 24, 3, 4, 14, 15, 19, 21, 26, 5, 10, 18, 23, 26, 6, 8, 11, 16, 17, 20, 15, 16, 17, 20, 21, 7, 8, 13, 16, 19, 20, 8, 11, 15, 16, 11, 12, 16, 18, 21, 10, 13, 16, 24, 26, 19, 25, 26, 17, 26, 14, 16, 20, 23, 25, 21, 25, 26, 17, 18, 22, 25, 21, 19, 18, 20, 26, 19, 21, 23, 26, 21, 24, 25, 23, 24}

{9, 25, 1047, 1204, 3517, 4058, 4217, 5178, 5266, 7075, 7980, 11247, 11352, 12306, 12312, 14001, 14866, 15593, 17006, 17701, 18835, 19405, 20549, 21167, 21279, 21549, 25115, 27698, 30037, 34633, 34948, 35120, 37338, 37349, 38078, 39238, 39482, 40736, 41800, 41860, 42171, 43405, 43791, 45319, 45949, 47128, 47712, 50212, 53452, 54119, 55146, 55377, 56316, 58920, 60034, 61206, 61453, 61792, 62164, 62908, 63223, 64509, 65625, 65838, 67694, 68144, 69742, 70594, 70727, 72851, 73374, 73557, 75327, 75483, 75648, 76320, 76983, 77302, 78504, 80028}

Returns: 325284912
26

96

{1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 21, 21, 22, 22}

{2, 5, 6, 10, 15, 17, 3, 4, 6, 10, 20, 22, 25, 6, 8, 9, 10, 11, 14, 15, 20, 22, 23, 25, 26, 7, 10, 13, 18, 23, 25, 8, 9, 18, 25, 26, 10, 19, 24, 11, 16, 19, 20, 24, 26, 13, 14, 21, 23, 24, 26, 11, 15, 16, 19, 20, 23, 25, 11, 18, 20, 15, 16, 21, 16, 21, 25, 26, 17, 19, 24, 25, 26, 20, 23, 24, 16, 19, 22, 23, 25, 17, 25, 26, 18, 21, 22, 23, 26, 19, 25, 26, 25, 26, 23, 26}

{86, 355, 519, 1513, 1599, 2138, 2185, 2279, 2939, 3416, 3633, 3775, 4203, 4434, 4805, 5091, 6132, 6211, 6233, 6540, 6899, 7148, 8700, 9037, 9682, 9694, 10313, 10415, 11984, 12401, 12730, 12870, 12899, 13292, 13653, 14089, 15168, 15277, 16098, 16104, 16285, 16445, 16498, 16521, 16669, 17066, 17586, 17844, 17920, 18848, 19381, 19998, 20227, 20593, 21487, 21917, 22080, 23127, 24257, 24503, 24832, 24964, 25572, 25620, 25673, 26181, 26561, 26652, 26778, 27390, 28226, 28320, 28342, 28623, 28922, 29533, 29676, 29832, 29852, 30206, 30503, 30512, 30638, 30778, 31032, 31062, 32065, 32816, 34184, 34620, 34729, 35387, 35613, 36540, 37203, 37267}

Returns: 214834678
26

107

{1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 22, 23, 24, 25}

{3, 4, 5, 6, 8, 17, 18, 26, 10, 12, 13, 14, 19, 20, 21, 24, 7, 9, 15, 17, 18, 25, 6, 7, 8, 13, 14, 15, 18, 21, 22, 25, 26, 7, 8, 9, 10, 13, 20, 24, 25, 26, 13, 14, 16, 21, 22, 25, 8, 9, 15, 17, 18, 19, 23, 10, 11, 14, 20, 25, 20, 21, 24, 11, 17, 22, 12, 14, 16, 17, 20, 21, 22, 23, 20, 22, 23, 24, 14, 19, 21, 23, 26, 16, 18, 20, 25, 26, 17, 26, 20, 25, 26, 19, 23, 20, 23, 25, 26, 22, 23, 24, 26, 23, 26, 25, 26}

{326, 422, 494, 2283, 2458, 3557, 3588, 3872, 3901, 4558, 6317, 7288, 7594, 7776, 7893, 8298, 8324, 8813, 8916, 9312, 10047, 10054, 10164, 10555, 11459, 11545, 11740, 11905, 12305, 12609, 12797, 13772, 14715, 15385, 16976, 17545, 17664, 18889, 18962, 20149, 20224, 20472, 20949, 20977, 21557, 21695, 21781, 21836, 21872, 21902, 21937, 22320, 24243, 24652, 24699, 25765, 26306, 26883, 26942, 27130, 27254, 28227, 29023, 29866, 30982, 31158, 31504, 31793, 32104, 32167, 32549, 32768, 34247, 34420, 34568, 34921, 36350, 36888, 36960, 37033, 37447, 37648, 37731, 37949, 38435, 38579, 39104, 39160, 39640, 39688, 39748, 39757, 40085, 40307, 40415, 41191, 41720, 41768, 42281, 42317, 42583, 43065, 43176, 43400, 43626, 43690, 43778}

Returns: 763558849
26

122

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 19, 20, 20, 20, 20, 21, 22, 23, 23, 24, 25}

{2, 3, 4, 7, 8, 10, 15, 17, 20, 22, 23, 24, 4, 5, 8, 13, 19, 20, 26, 5, 10, 12, 18, 21, 24, 5, 8, 9, 12, 15, 18, 22, 11, 12, 14, 15, 19, 20, 23, 24, 26, 10, 15, 21, 25, 8, 9, 11, 13, 14, 15, 16, 18, 19, 22, 24, 25, 10, 11, 14, 15, 19, 20, 21, 22, 24, 10, 11, 12, 15, 16, 18, 20, 22, 23, 24, 26, 15, 17, 19, 20, 22, 24, 13, 14, 17, 22, 23, 16, 18, 20, 23, 15, 17, 23, 25, 16, 17, 19, 24, 17, 19, 20, 22, 25, 19, 22, 24, 25, 23, 22, 23, 21, 22, 23, 24, 26, 24, 24, 25, 25, 26}

{147, 436, 452, 632, 792, 1111, 1670, 2086, 2325, 2989, 3255, 3660, 3713, 4068, 4364, 5779, 6194, 6804, 7002, 7081, 7608, 8289, 8671, 8888, 9699, 9715, 9891, 10165, 10339, 10423, 10645, 10781, 10814, 10843, 10892, 11139, 12465, 13070, 13269, 13877, 14043, 14322, 14554, 14572, 14701, 14971, 15089, 16341, 17966, 18317, 18747, 19062, 19265, 19476, 19940, 19947, 20326, 20404, 20793, 22046, 22548, 23253, 23312, 24216, 24425, 24651, 25266, 25342, 25590, 26439, 26856, 26944, 27007, 27277, 27382, 27519, 27685, 27765, 28362, 29017, 29527, 29947, 29980, 29984, 30113, 30891, 31458, 31562, 32079, 32332, 33728, 34242, 34957, 35185, 35537, 36373, 36824, 37416, 38163, 38193, 39536, 40146, 40180, 40589, 41323, 41631, 42235, 42401, 43222, 44060, 44168, 46655, 47387, 47978, 48355, 48527, 48658, 48763, 48845, 49375, 49486, 49493}

Returns: 22829633
26

145

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 22, 22, 22, 23, 23, 24, 25}

{2, 3, 5, 7, 8, 9, 11, 13, 15, 19, 20, 23, 25, 26, 4, 6, 9, 12, 14, 16, 18, 20, 21, 22, 24, 25, 26, 9, 12, 14, 15, 16, 17, 20, 21, 22, 5, 8, 10, 13, 15, 20, 23, 26, 6, 7, 8, 10, 11, 12, 18, 20, 26, 7, 8, 11, 12, 17, 19, 25, 26, 8, 10, 11, 12, 16, 18, 20, 22, 23, 24, 26, 11, 14, 15, 18, 20, 11, 13, 15, 16, 18, 19, 21, 22, 11, 12, 15, 16, 19, 23, 24, 25, 13, 15, 16, 18, 19, 20, 26, 13, 14, 16, 18, 20, 22, 25, 26, 16, 18, 22, 24, 25, 18, 20, 21, 22, 25, 16, 20, 23, 24, 19, 26, 18, 20, 24, 20, 21, 22, 25, 20, 21, 22, 23, 26, 21, 23, 23, 24, 25, 25, 26, 25, 26}

{4, 8, 9, 14, 15, 28, 77, 94, 103, 111, 112, 113, 119, 122, 140, 162, 198, 200, 221, 235, 241, 242, 256, 259, 261, 269, 270, 279, 282, 290, 298, 309, 319, 328, 334, 336, 343, 344, 346, 349, 356, 364, 382, 387, 415, 427, 450, 451, 464, 470, 474, 475, 476, 478, 482, 499, 508, 519, 531, 532, 548, 552, 553, 557, 559, 564, 587, 618, 619, 633, 635, 642, 650, 657, 658, 660, 666, 673, 686, 689, 693, 730, 749, 757, 782, 784, 792, 797, 810, 814, 817, 836, 845, 846, 848, 860, 862, 874, 876, 890, 918, 957, 963, 984, 996, 1001, 1005, 1022, 1028, 1061, 1066, 1067, 1068, 1075, 1117, 1125, 1131, 1133, 1134, 1143, 1149, 1166, 1167, 1182, 1185, 1193, 1195, 1198, 1204, 1225, 1226, 1243, 1252, 1267, 1269, 1277, 1295, 1296, 1299, 1303, 1304, 1313, 1319, 1326, 1336}

Returns: 570741378
26

205

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 23, 25}

{3, 4, 5, 6, 7, 8, 10, 12, 13, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 22, 23, 24, 26, 5, 6, 7, 10, 11, 12, 13, 14, 16, 19, 20, 21, 24, 25, 26, 5, 7, 10, 11, 12, 14, 15, 17, 18, 20, 21, 22, 23, 25, 26, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 21, 22, 25, 26, 7, 8, 11, 12, 13, 16, 17, 19, 21, 23, 24, 25, 9, 10, 11, 13, 14, 16, 17, 18, 19, 22, 23, 9, 11, 12, 17, 25, 11, 12, 13, 16, 20, 21, 22, 24, 12, 13, 14, 16, 17, 19, 21, 22, 23, 25, 26, 13, 14, 16, 18, 20, 21, 25, 26, 13, 14, 15, 16, 20, 21, 22, 23, 25, 26, 14, 15, 16, 17, 19, 20, 21, 24, 16, 18, 19, 20, 21, 22, 23, 25, 26, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 17, 18, 19, 21, 24, 25, 26, 18, 19, 20, 22, 23, 24, 25, 26, 19, 22, 23, 24, 26, 20, 24, 26, 22, 23, 25, 22, 23, 24, 25, 26, 26}

{8, 20, 758, 2659, 3075, 3186, 3603, 3617, 3632, 3774, 3824, 3874, 4355, 4380, 4874, 5681, 6639, 7513, 7579, 7862, 8135, 8191, 9376, 9446, 9589, 9652, 9719, 9918, 11780, 12062, 12404, 12943, 13579, 14313, 14814, 15111, 16237, 17339, 17925, 18237, 18319, 19242, 19513, 19984, 20662, 20797, 21008, 21025, 21150, 21374, 22701, 23536, 24356, 24460, 24545, 24842, 25812, 25844, 26500, 26510, 26616, 26700, 27046, 27691, 28003, 28885, 28953, 30439, 31552, 31560, 32046, 32601, 32891, 33065, 33171, 33208, 33878, 34701, 35362, 35603, 35759, 35832, 35845, 35949, 36878, 37234, 38014, 38059, 38449, 39067, 39369, 39709, 40361, 40932, 41010, 41632, 42547, 43277, 43295, 43935, 44372, 44744, 45150, 45234, 45731, 46761, 46835, 47114, 47167, 47944, 48640, 49224, 49525, 49651, 49850, 51012, 51718, 51922, 53030, 53038, 53217, 53242, 53363, 53469, 54065, 54546, 54574, 55168, 55357, 55584, 55845, 56499, 56814, 56902, 57282, 57334, 58043, 58895, 60321, 61230, 61360, 61363, 61545, 61858, 62732, 63154, 64050, 64174, 64722, 64818, 65279, 66527, 67353, 67423, 67671, 71212, 71571, 71626, 71789, 72444, 72737, 73452, 73586, 73642, 75668, 75847, 75896, 76492, 78297, 79043, 79056, 79229, 79684, 79769, 79965, 80806, 81046, 81059, 81605, 81681, 84038, 85626, 85780, 86029, 86133, 86224, 87220, 87859, 88057, 88326, 88510, 88606, 89498, 89676, 90237, 90295, 90411, 90431, 90624, 90912, 91082, 91084, 93284, 93724, 93739}

Returns: 377890804
26

245

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 25}

{2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 17, 19, 20, 21, 23, 24, 25, 26, 5, 6, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 25, 26, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 7, 8, 9, 10, 12, 15, 16, 17, 18, 19, 21, 22, 23, 24, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 24, 25, 26, 10, 12, 13, 15, 18, 20, 21, 22, 24, 25, 26, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 26, 14, 15, 16, 17, 19, 23, 24, 25, 26, 13, 15, 16, 17, 18, 19, 21, 22, 25, 26, 14, 15, 16, 17, 20, 21, 22, 23, 25, 16, 18, 19, 21, 23, 24, 25, 26, 16, 17, 19, 20, 21, 22, 23, 25, 26, 17, 18, 19, 20, 21, 22, 25, 18, 20, 21, 22, 23, 24, 25, 26, 21, 22, 23, 24, 25, 26, 21, 22, 23, 25, 21, 22, 24, 25, 26, 22, 24, 25, 26, 23, 24, 25, 26, 24, 25, 26, 25, 26}

{118, 337, 1519, 2033, 2060, 2282, 2855, 2888, 2909, 3010, 3225, 3396, 3820, 3884, 3966, 4033, 4213, 4618, 5072, 5128, 5835, 6037, 6059, 6341, 6551, 6704, 6718, 7559, 8087, 8092, 8444, 8477, 8791, 8926, 9045, 9148, 9164, 9315, 9448, 9455, 9532, 9574, 9840, 9884, 10026, 10361, 10511, 10556, 11597, 11645, 11850, 11889, 12107, 12306, 12422, 12781, 12877, 13763, 14489, 14599, 14855, 15011, 15134, 15431, 15466, 15789, 15826, 15999, 16026, 16484, 16989, 17055, 17059, 17194, 18157, 18286, 18557, 18598, 18754, 18834, 19008, 19222, 19282, 20062, 20130, 20605, 21555, 21664, 22163, 22668, 23341, 23624, 23824, 23912, 24069, 24098, 24101, 24151, 24293, 24338, 24347, 24810, 25204, 25664, 26348, 26407, 26649, 26849, 27481, 27722, 27761, 27909, 28079, 28190, 28283, 28363, 29768, 29792, 29979, 30058, 30422, 30590, 30685, 30722, 30742, 30806, 30876, 31223, 31754, 31768, 31825, 31863, 32096, 32156, 32808, 33154, 33302, 34073, 34425, 35616, 35842, 36162, 36282, 36542, 36567, 36607, 36789, 36949, 36990, 37028, 37327, 37719, 38027, 38333, 38616, 38881, 39065, 39788, 40366, 40536, 40705, 40928, 41600, 41776, 41918, 42111, 42162, 43033, 43088, 43220, 43503, 44100, 44389, 44559, 44635, 45008, 45451, 45553, 45690, 45959, 45960, 46275, 46487, 46540, 46863, 47067, 47281, 47591, 47657, 47798, 47837, 48585, 48662, 48937, 49507, 50261, 51353, 51578, 52229, 52291, 52488, 52629, 53053, 53534, 53564, 55710, 55877, 55925, 56431, 56439, 56454, 56489, 56888, 56993, 57114, 57202, 57359, 57364, 57375, 57445, 57580, 57894, 58128, 58177, 58726, 59017, 59066, 59260, 59727, 59898, 59948, 60055, 60274, 60475, 60611, 60690, 60889, 60963, 61534, 62622, 62734, 63026, 63052, 63094, 63173}

Returns: 23004786
26

325

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 18, 19, 20, 21, 22, 23, 24, 25, 26, 19, 20, 21, 22, 23, 24, 25, 26, 20, 21, 22, 23, 24, 25, 26, 21, 22, 23, 24, 25, 26, 22, 23, 24, 25, 26, 23, 24, 25, 26, 24, 25, 26, 25, 26, 26}

{175, 194, 379, 476, 602, 610, 676, 1025, 1427, 1547, 1551, 1824, 1877, 1900, 1924, 2001, 2052, 2384, 2430, 2757, 2910, 2935, 3128, 3446, 3499, 3532, 3628, 3743, 3818, 4039, 4327, 4456, 4637, 4648, 4773, 4930, 5247, 5729, 5990, 6183, 6243, 6287, 6536, 6783, 6790, 7054, 7104, 7206, 7296, 7659, 7746, 8101, 8122, 8269, 8389, 8435, 8915, 9141, 9277, 9322, 9343, 9847, 9885, 9957, 10132, 10251, 10451, 10513, 10669, 11435, 12082, 12210, 12596, 12959, 13077, 13302, 13522, 13995, 14282, 14421, 14543, 14717, 14730, 14845, 15011, 15112, 15284, 15977, 16262, 16567, 16691, 17011, 17018, 17148, 17265, 17595, 17730, 17923, 18106, 18312, 18536, 18568, 18653, 18700, 18797, 19075, 19284, 19577, 19659, 19707, 19915, 20336, 20516, 20539, 21103, 21643, 21718, 22012, 22014, 22471, 22543, 22686, 22704, 23034, 23065, 23243, 23298, 23670, 23924, 23993, 24076, 24781, 24848, 24982, 25722, 25777, 25956, 26034, 26041, 26329, 26370, 26399, 26501, 26647, 27362, 27617, 27634, 27760, 28124, 28230, 28635, 28717, 28927, 29033, 29178, 29398, 29573, 29647, 29657, 30031, 30319, 30558, 30565, 30707, 30868, 31059, 31246, 31358, 31567, 31802, 31987, 32387, 32405, 32407, 32414, 32534, 32567, 32673, 32829, 32855, 32953, 32981, 33041, 33265, 33395, 33446, 33477, 33870, 34040, 34053, 34066, 34130, 34150, 34222, 34652, 35052, 35175, 35192, 35434, 35485, 35639, 35671, 35816, 36009, 36037, 36334, 36405, 36536, 36815, 36854, 36912, 36982, 37156, 37359, 37435, 37687, 37868, 38154, 38286, 38298, 38782, 38814, 38849, 38940, 39376, 39537, 39827, 39844, 40082, 40131, 40651, 40696, 40735, 40873, 41042, 41077, 41152, 41175, 41493, 41647, 42086, 42095, 42122, 42139, 42222, 42750, 43129, 43148, 43162, 43237, 44057, 44211, 44262, 44397, 44655, 44677, 44753, 44901, 44921, 44961, 45180, 45191, 45369, 45463, 45932, 46058, 46162, 46563, 46976, 47208, 47335, 47745, 47919, 48269, 48450, 48569, 48603, 48972, 49119, 49222, 49670, 49788, 49789, 49837, 50060, 50081, 50105, 50454, 50588, 50904, 50994, 51040, 51110, 51112, 51208, 51683, 51729, 51866, 51920, 52130, 52575, 53175, 53178, 53726, 53727, 54142, 54208, 54261, 54326, 54453, 54523, 54717, 54730, 55252, 55282, 56097, 56142, 56227, 56264, 56372, 56639, 56798, 56835, 56954, 57182}

Returns: 323011869
26

26

{1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}

{2, 26, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26}

{1262, 3371, 4701, 6573, 7572, 7937, 8229, 9858, 10460, 11724, 14155, 16168, 17596, 23120, 25030, 26319, 27525, 29899, 33097, 34015, 35049, 36624, 37589, 38386, 39864, 42814}

Returns: 308646373
45

44

{1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 9, 10, 11, 13, 14, 15, 16, 17, 17, 19, 20, 21, 22, 23, 25, 26, 27, 27, 27, 28, 28, 30, 31, 31, 31, 33, 41, 42}

{31, 40, 43, 32, 34, 10, 30, 44, 12, 18, 29, 41, 13, 40, 18, 24, 33, 42, 34, 21, 35, 32, 38, 20, 36, 39, 43, 43, 35, 31, 37, 32, 32, 39, 40, 35, 41, 38, 37, 42, 44, 40, 42, 45}

{8, 18, 24, 41, 60, 71, 90, 91, 99, 143, 156, 193, 198, 246, 253, 273, 297, 300, 303, 331, 347, 356, 377, 446, 447, 458, 503, 528, 555, 600, 619, 623, 633, 634, 635, 636, 656, 664, 666, 693, 701, 718, 728, 743}

Returns: 256
45

49

{1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 6, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 13, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 19, 20, 23, 23, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 36, 41}

{12, 22, 15, 6, 18, 40, 45, 39, 14, 13, 42, 31, 11, 24, 13, 38, 28, 30, 36, 25, 43, 16, 15, 44, 19, 34, 35, 21, 28, 24, 40, 44, 35, 26, 34, 37, 38, 44, 34, 33, 42, 34, 31, 44, 33, 40, 34, 39, 43}

{2616, 3618, 3751, 4066, 9235, 10026, 10921, 12398, 13165, 13666, 14351, 16196, 17785, 18802, 21471, 23432, 23595, 26310, 30750, 30816, 31969, 32635, 32889, 39425, 41005, 41476, 43362, 48614, 49614, 50020, 51384, 53970, 54536, 56880, 59846, 65163, 65601, 68696, 72513, 76580, 82197, 84364, 86088, 87958, 89540, 91651, 92162, 93693, 95153}

Returns: 493403502
45

65

{1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 14, 14, 14, 15, 15, 16, 16, 17, 18, 18, 18, 18, 19, 19, 19, 20, 21, 22, 22, 24, 25, 26, 27, 28, 28, 29, 30, 31, 33, 34, 34, 34, 34, 35, 38, 41}

{11, 33, 42, 5, 13, 29, 38, 20, 20, 24, 31, 8, 22, 40, 11, 14, 39, 27, 10, 38, 45, 14, 37, 12, 32, 16, 25, 29, 19, 27, 32, 38, 17, 40, 22, 28, 24, 23, 24, 35, 42, 21, 26, 35, 43, 22, 32, 36, 32, 42, 34, 32, 32, 40, 38, 35, 32, 42, 37, 39, 41, 42, 39, 43, 44}

{30, 31, 111, 117, 121, 155, 156, 260, 303, 308, 315, 447, 507, 592, 674, 704, 744, 750, 855, 876, 978, 983, 985, 993, 997, 1027, 1031, 1059, 1061, 1062, 1135, 1136, 1195, 1255, 1288, 1336, 1341, 1369, 1377, 1401, 1410, 1489, 1513, 1529, 1561, 1564, 1575, 1696, 1697, 1777, 1842, 1845, 1878, 1883, 1911, 1925, 1938, 1979, 1986, 2021, 2037, 2051, 2071, 2083, 2109}

Returns: 829603138
45

101

{1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 23, 24, 25, 25, 26, 27, 28, 28, 28, 28, 29, 29, 30, 30, 32, 34, 35, 35, 36, 38, 42, 42, 43, 43}

{3, 5, 8, 22, 23, 7, 36, 40, 42, 6, 12, 32, 37, 7, 9, 27, 45, 26, 31, 32, 38, 41, 11, 26, 31, 36, 14, 19, 25, 29, 11, 13, 21, 24, 34, 14, 19, 20, 25, 43, 44, 23, 43, 44, 21, 32, 36, 17, 21, 24, 33, 34, 37, 16, 20, 27, 20, 40, 43, 26, 28, 32, 20, 37, 20, 41, 34, 35, 31, 36, 28, 45, 28, 31, 38, 30, 31, 37, 29, 30, 32, 38, 39, 33, 34, 39, 44, 39, 40, 32, 43, 38, 35, 37, 44, 38, 40, 44, 45, 44, 45}

{189, 194, 247, 341, 519, 816, 1031, 1110, 1160, 1176, 1256, 1363, 1680, 2106, 2211, 2228, 2604, 3031, 3060, 3071, 3178, 3757, 3775, 3856, 4170, 4250, 4443, 4561, 4579, 4596, 4871, 4899, 5044, 5452, 5457, 5826, 5917, 5948, 6110, 6313, 6418, 6496, 6565, 6623, 6659, 6680, 6790, 6877, 7082, 7097, 7154, 7182, 7333, 7379, 7433, 7438, 7719, 7875, 8103, 8235, 8257, 8292, 8507, 8513, 8654, 8803, 9006, 9059, 9063, 9161, 9300, 9481, 9524, 9922, 9948, 10077, 10448, 10698, 10794, 11164, 11324, 11348, 11852, 11859, 11875, 11902, 11944, 12328, 12394, 12408, 12444, 12660, 12694, 12808, 12955, 13028, 13808, 14333, 14493, 14584, 14689}

Returns: 970404087
45

111

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

{12, 19, 21, 29, 42, 43, 5, 10, 14, 29, 36, 38, 40, 43, 34, 41, 16, 21, 31, 35, 42, 44, 29, 37, 23, 31, 13, 16, 24, 34, 42, 45, 25, 35, 40, 45, 16, 20, 26, 37, 13, 22, 27, 42, 15, 20, 35, 43, 45, 37, 38, 25, 41, 42, 38, 23, 44, 18, 30, 42, 18, 27, 30, 41, 43, 24, 36, 38, 41, 21, 31, 44, 22, 23, 35, 36, 38, 43, 24, 28, 43, 33, 37, 40, 38, 33, 39, 44, 31, 36, 42, 45, 42, 43, 34, 33, 42, 45, 36, 45, 43, 42, 38, 37, 39, 42, 44, 43, 44, 44, 45}

{32, 138, 158, 534, 696, 831, 1270, 1299, 1453, 1490, 1611, 1773, 1775, 1888, 1950, 2075, 2159, 2167, 2876, 2914, 3047, 3093, 3170, 3519, 3612, 3628, 3674, 3740, 3743, 3772, 3773, 3820, 3935, 3943, 4068, 4222, 4323, 4414, 4479, 4631, 4645, 5021, 5068, 5224, 5305, 5400, 5532, 5910, 6004, 6029, 6310, 6337, 6582, 7114, 7161, 7195, 7587, 7631, 8041, 8413, 8542, 8655, 8705, 8726, 8802, 9001, 9115, 9172, 9380, 9465, 9529, 9542, 9595, 9703, 9708, 9734, 9938, 10243, 10268, 10400, 10488, 10573, 10650, 10796, 10800, 10872, 11055, 11215, 11273, 11314, 11454, 11621, 11727, 11758, 11861, 11945, 12059, 12096, 12137, 12504, 12892, 13085, 13112, 13221, 13254, 13441, 13466, 13472, 13479, 13499, 13557}

Returns: 507697858
45

145

{1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 29, 29, 30, 31, 31, 32, 32, 33, 33, 33, 34, 35, 35, 37, 37, 38, 38, 41}

{2, 4, 23, 38, 6, 13, 28, 36, 4, 9, 11, 12, 19, 21, 24, 30, 33, 44, 9, 29, 36, 38, 40, 41, 9, 11, 20, 44, 12, 21, 22, 24, 26, 45, 19, 38, 45, 14, 16, 17, 29, 31, 35, 39, 43, 13, 15, 18, 33, 37, 40, 13, 22, 24, 26, 16, 19, 23, 27, 34, 43, 44, 44, 29, 38, 26, 27, 34, 38, 41, 21, 40, 27, 42, 23, 25, 30, 35, 42, 45, 23, 25, 30, 31, 35, 41, 38, 39, 40, 42, 26, 38, 41, 28, 34, 35, 29, 31, 32, 39, 42, 27, 34, 37, 35, 37, 45, 28, 32, 34, 35, 43, 45, 30, 33, 34, 37, 40, 41, 34, 42, 43, 36, 39, 31, 34, 35, 36, 42, 45, 32, 45, 34, 41, 35, 41, 43, 44, 36, 40, 39, 41, 39, 40, 45}

{14, 78, 604, 1222, 1250, 1275, 2955, 3014, 3666, 4165, 4826, 5859, 6201, 6940, 7279, 7534, 7622, 7695, 8374, 8412, 8482, 9073, 9142, 9694, 9714, 9828, 10793, 11384, 11473, 11542, 12745, 13334, 13491, 13804, 13807, 14149, 14451, 14456, 14474, 15594, 15780, 16653, 16822, 18810, 19061, 19193, 20128, 20403, 20607, 20666, 20768, 21607, 21927, 21949, 21959, 22007, 22040, 22157, 22346, 22637, 22768, 22822, 22945, 23251, 23673, 23930, 24179, 24254, 24447, 26355, 26962, 27166, 27186, 27543, 28838, 29539, 29804, 30132, 30206, 30351, 30795, 31107, 31686, 32537, 32664, 32876, 32906, 32991, 33238, 33321, 34164, 34335, 34407, 34498, 34657, 34773, 35256, 35332, 35381, 35588, 36051, 36362, 37314, 37576, 37795, 38343, 38382, 38430, 38441, 39529, 39618, 39664, 39950, 40401, 41304, 41666, 41773, 42242, 42313, 42909, 43296, 43357, 43497, 43576, 43769, 43985, 44260, 44419, 44533, 44709, 44871, 44879, 45776, 45811, 45855, 46094, 46602, 46949, 46959, 46988, 47039, 47353, 47542, 47861, 48259}

Returns: 461753774
45

207

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

{4, 12, 15, 17, 18, 19, 29, 33, 37, 39, 42, 43, 14, 16, 29, 35, 41, 44, 45, 12, 18, 19, 20, 22, 23, 27, 30, 31, 33, 34, 39, 42, 44, 45, 19, 20, 21, 23, 29, 35, 41, 42, 45, 11, 14, 17, 20, 22, 26, 37, 40, 42, 44, 13, 15, 19, 27, 33, 39, 8, 12, 13, 14, 16, 27, 35, 36, 39, 41, 10, 11, 12, 13, 14, 15, 24, 25, 32, 33, 37, 44, 35, 44, 25, 27, 29, 31, 32, 45, 20, 25, 32, 34, 35, 36, 40, 13, 21, 30, 35, 36, 18, 19, 20, 25, 26, 30, 33, 36, 40, 44, 15, 23, 28, 34, 42, 45, 23, 38, 39, 19, 26, 35, 37, 39, 41, 42, 43, 45, 20, 28, 29, 41, 43, 21, 29, 34, 41, 43, 23, 29, 32, 33, 44, 45, 22, 28, 34, 44, 25, 27, 28, 34, 36, 38, 39, 29, 34, 39, 42, 45, 25, 32, 40, 41, 28, 35, 26, 28, 36, 30, 35, 30, 32, 33, 36, 39, 29, 35, 43, 45, 30, 45, 32, 34, 36, 40, 33, 36, 38, 36, 40, 41, 41, 38, 43, 44, 39, 43, 41, 45, 41, 42, 42, 44, 44, 45}

{989, 1181, 1261, 1349, 1871, 3085, 3453, 3631, 4087, 4173, 4267, 4322, 5021, 5028, 5645, 5774, 6651, 6728, 7129, 7778, 7961, 8266, 8934, 9241, 9782, 9823, 9922, 9990, 11004, 11161, 11205, 11345, 11461, 11465, 11626, 12570, 13716, 14260, 14532, 14558, 15023, 17284, 17396, 17441, 17451, 18020, 18424, 18916, 19543, 19606, 19627, 19629, 19841, 21003, 21119, 21540, 21921, 23923, 24065, 24113, 24201, 24315, 24621, 25551, 25680, 25977, 26083, 26215, 26431, 26734, 26893, 27241, 27279, 27940, 28651, 29422, 29789, 30728, 30870, 30965, 31158, 31301, 31554, 31879, 32053, 32925, 33694, 33834, 34285, 34500, 34663, 34784, 35244, 35708, 35847, 36491, 37183, 37956, 38117, 38200, 38215, 38596, 38793, 38913, 38958, 40020, 40389, 41741, 41927, 41961, 42802, 42867, 42995, 43050, 43442, 43561, 43702, 43845, 44419, 45049, 45334, 45425, 45554, 45824, 45874, 46163, 48601, 48809, 49557, 50095, 50633, 50694, 51424, 51528, 51570, 51695, 52193, 52949, 52987, 53395, 53675, 54272, 54609, 56738, 57510, 58012, 58601, 59089, 59591, 60078, 60751, 61077, 61392, 61402, 61686, 62629, 62874, 63054, 63175, 63310, 64224, 65628, 65835, 66319, 67143, 67794, 67879, 68655, 69015, 70235, 71662, 71992, 72161, 73198, 73239, 73332, 74326, 74825, 74964, 75349, 75493, 75599, 77078, 77922, 79420, 79853, 80115, 80293, 80727, 81125, 81236, 82265, 83214, 83868, 84453, 84917, 85031, 85168, 85647, 86309, 86385, 86570, 86682, 88080, 88348, 88515, 89704}

Returns: 232031306
45

320

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

{716, 752, 784, 863, 893, 927, 1098, 1714, 2093, 2125, 2146, 2374, 2390, 2583, 2587, 2856, 2936, 2993, 3151, 3592, 4664, 4672, 5254, 5309, 5415, 6072, 6152, 6453, 6502, 6518, 6558, 6689, 6752, 6913, 8361, 8553, 8651, 8821, 8963, 8985, 9357, 9433, 9554, 9892, 10068, 10245, 10372, 10561, 10720, 10841, 11142, 11159, 11451, 11510, 11519, 11751, 11813, 12330, 12565, 12675, 12710, 12786, 13010, 13384, 13447, 13659, 13992, 14080, 14387, 14946, 15384, 15472, 15582, 15833, 16126, 17053, 17118, 17424, 17665, 17878, 18093, 18236, 18721, 18756, 19002, 19256, 19364, 19507, 19646, 20224, 20630, 20645, 20738, 21043, 21068, 21212, 21483, 21859, 21911, 23142, 23225, 23331, 23577, 23963, 24024, 24058, 24073, 24185, 24246, 24386, 24455, 24819, 25038, 25054, 25324, 25525, 25529, 25535, 25755, 26071, 26096, 26296, 26445, 26449, 26515, 27100, 27186, 27475, 27730, 27744, 27805, 27962, 28040, 28312, 28361, 28435, 28532, 28536, 28816, 28852, 29079, 29591, 29679, 29932, 30065, 30069, 30389, 30446, 30848, 31106, 31880, 32021, 32107, 32132, 32448, 32792, 32974, 32987, 33387, 33471, 33505, 33727, 33831, 34040, 34356, 34567, 35233, 35370, 35524, 35572, 35683, 35721, 35839, 35955, 36031, 36152, 36156, 36254, 36355, 36362, 37506, 38492, 38496, 38929, 39682, 40110, 40149, 40295, 40563, 40699, 40736, 41037, 41163, 41391, 41600, 41616, 42013, 42265, 42394, 42618, 42665, 42888, 42927, 43283, 43418, 43707, 43904, 44473, 45148, 45157, 45233, 45329, 45426, 45598, 45775, 45791, 45977, 46132, 46411, 46464, 46534, 46766, 46861, 46988, 47160, 47209, 47306, 47588, 47721, 48132, 48352, 49220, 49407, 49418, 49726, 49849, 49867, 50049, 50095, 50181, 50254, 50508, 50520, 51132, 51319, 51349, 51758, 52231, 52477, 53179, 53228, 53353, 53381, 53466, 53652, 53801, 53962, 54305, 54513, 54547, 54985, 55484, 55641, 55873, 55989, 56374, 57628, 57703, 57732, 58180, 58199, 58292, 58430, 58647, 58685, 58707, 58720, 59137, 59213, 59420, 59716, 59879, 60040, 60164, 60233, 60353, 60506, 60519, 60616, 60622, 60687, 60918, 61202, 61361, 61484, 61639, 62239, 62486, 62795, 63018, 63134, 63219, 63242, 63254, 63341, 63361, 63374, 63400, 63453, 63845, 63887, 63945, 64059, 64116, 64172, 64296, 64339, 64342, 64529, 64681}

Returns: 203991116
45

454

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

{15, 30, 33, 39, 48, 49, 58, 61, 64, 85, 94, 96, 99, 111, 118, 145, 154, 163, 165, 167, 172, 177, 183, 192, 219, 241, 245, 254, 261, 263, 272, 277, 280, 290, 297, 300, 304, 314, 320, 323, 326, 338, 340, 343, 360, 365, 383, 389, 395, 418, 421, 422, 423, 435, 438, 439, 445, 449, 458, 460, 468, 479, 485, 491, 497, 500, 509, 510, 528, 529, 557, 562, 563, 567, 582, 591, 594, 598, 599, 600, 616, 619, 628, 649, 651, 654, 655, 656, 657, 662, 673, 677, 688, 690, 698, 700, 702, 717, 724, 725, 743, 747, 753, 760, 765, 767, 771, 774, 778, 781, 790, 791, 796, 799, 815, 821, 823, 852, 853, 856, 865, 868, 885, 887, 893, 894, 913, 926, 927, 929, 933, 934, 938, 941, 950, 954, 962, 969, 973, 980, 982, 984, 993, 998, 1007, 1031, 1049, 1050, 1060, 1063, 1075, 1086, 1087, 1104, 1111, 1112, 1116, 1126, 1127, 1133, 1135, 1157, 1168, 1171, 1183, 1188, 1200, 1219, 1224, 1226, 1229, 1250, 1257, 1258, 1270, 1277, 1283, 1315, 1320, 1324, 1342, 1346, 1348, 1349, 1350, 1353, 1361, 1367, 1369, 1377, 1378, 1379, 1407, 1426, 1432, 1434, 1435, 1440, 1456, 1465, 1468, 1473, 1485, 1498, 1500, 1501, 1523, 1527, 1533, 1540, 1541, 1544, 1546, 1556, 1571, 1576, 1578, 1587, 1591, 1599, 1612, 1619, 1623, 1628, 1640, 1643, 1644, 1655, 1662, 1666, 1670, 1671, 1675, 1689, 1698, 1701, 1705, 1710, 1724, 1726, 1728, 1730, 1733, 1740, 1741, 1742, 1745, 1755, 1760, 1770, 1775, 1778, 1793, 1826, 1841, 1853, 1854, 1870, 1875, 1878, 1880, 1888, 1893, 1904, 1906, 1909, 1915, 1923, 1928, 1930, 1935, 1945, 1949, 1976, 1983, 1990, 1993, 1996, 2011, 2019, 2031, 2035, 2037, 2055, 2057, 2059, 2060, 2063, 2067, 2096, 2101, 2114, 2117, 2121, 2126, 2130, 2133, 2140, 2143, 2148, 2149, 2157, 2166, 2168, 2177, 2183, 2184, 2186, 2210, 2212, 2228, 2235, 2238, 2247, 2253, 2255, 2263, 2279, 2283, 2285, 2303, 2310, 2313, 2329, 2331, 2332, 2336, 2337, 2349, 2361, 2363, 2364, 2369, 2372, 2385, 2386, 2400, 2401, 2414, 2419, 2423, 2430, 2442, 2444, 2452, 2453, 2473, 2490, 2502, 2512, 2513, 2516, 2525, 2528, 2531, 2532, 2538, 2541, 2550, 2572, 2583, 2587, 2595, 2600, 2603, 2604, 2605, 2614, 2622, 2623, 2636, 2637, 2641, 2642, 2652, 2663, 2664, 2668, 2684, 2689, 2695, 2703, 2708, 2725, 2745, 2752, 2758, 2759, 2762, 2768, 2771, 2776, 2795, 2797, 2802, 2814, 2821, 2848, 2849, 2852, 2855, 2857, 2858, 2870, 2875, 2878, 2881, 2882, 2890, 2893, 2895, 2908, 2921, 2929, 2938, 2941, 2943, 2955, 2964, 2968, 2976, 2985, 2986, 2988, 2990, 3008, 3016, 3024, 3025, 3026, 3035, 3036, 3038, 3039, 3046, 3048, 3056, 3058, 3062, 3063, 3076, 3081, 3084, 3089, 3092, 3098, 3101, 3113, 3117, 3135, 3139, 3144, 3146, 3152}

Returns: 554387077
45

718

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

{9, 15, 36, 146, 165, 170, 185, 194, 206, 216, 230, 240, 285, 302, 363, 386, 399, 437, 497, 506, 546, 552, 554, 577, 580, 600, 606, 620, 705, 724, 728, 730, 747, 748, 857, 899, 923, 961, 997, 1015, 1038, 1042, 1102, 1133, 1136, 1179, 1210, 1214, 1238, 1265, 1268, 1273, 1289, 1310, 1401, 1438, 1444, 1454, 1530, 1537, 1548, 1556, 1580, 1613, 1617, 1623, 1657, 1663, 1664, 1687, 1691, 1713, 1742, 1748, 1778, 1871, 1887, 1896, 1928, 1930, 1947, 1975, 2009, 2049, 2068, 2115, 2126, 2129, 2146, 2191, 2206, 2213, 2252, 2259, 2266, 2343, 2370, 2415, 2435, 2440, 2464, 2474, 2483, 2510, 2517, 2521, 2548, 2606, 2634, 2665, 2668, 2683, 2692, 2776, 2793, 2821, 2824, 2879, 2927, 2929, 3014, 3037, 3057, 3080, 3083, 3105, 3124, 3136, 3171, 3239, 3249, 3347, 3381, 3396, 3408, 3417, 3445, 3458, 3491, 3501, 3513, 3530, 3615, 3620, 3629, 3699, 3736, 3779, 3816, 3870, 3889, 3898, 3912, 3922, 3983, 4023, 4095, 4107, 4128, 4130, 4178, 4207, 4214, 4215, 4261, 4266, 4299, 4339, 4391, 4416, 4417, 4426, 4436, 4499, 4500, 4555, 4599, 4649, 4651, 4699, 4774, 4775, 4786, 4800, 4831, 4842, 4857, 4896, 4900, 4913, 4919, 4989, 5006, 5024, 5053, 5063, 5113, 5126, 5140, 5169, 5198, 5220, 5236, 5250, 5293, 5359, 5367, 5411, 5434, 5490, 5517, 5564, 5611, 5620, 5631, 5638, 5641, 5656, 5672, 5681, 5691, 5759, 5812, 5828, 5848, 5852, 5956, 6022, 6027, 6089, 6104, 6124, 6168, 6187, 6206, 6262, 6288, 6379, 6384, 6414, 6430, 6443, 6483, 6529, 6539, 6599, 6604, 6605, 6618, 6631, 6683, 6789, 6791, 6805, 6806, 6845, 6878, 6892, 6909, 6936, 6947, 6973, 6989, 7031, 7112, 7122, 7170, 7245, 7280, 7291, 7319, 7323, 7334, 7350, 7364, 7402, 7469, 7479, 7483, 7489, 7494, 7527, 7628, 7668, 7676, 7678, 7740, 7742, 7743, 7750, 7816, 7832, 7857, 7905, 7920, 7969, 7979, 7982, 8008, 8098, 8107, 8128, 8170, 8174, 8186, 8300, 8338, 8355, 8386, 8412, 8416, 8464, 8471, 8500, 8520, 8522, 8536, 8549, 8619, 8638, 8677, 8724, 8789, 8793, 8810, 8823, 8838, 8853, 8855, 8891, 8893, 8899, 8916, 8923, 8943, 8968, 8993, 8995, 8997, 9016, 9061, 9074, 9102, 9113, 9118, 9119, 9122, 9155, 9174, 9178, 9233, 9237, 9281, 9306, 9318, 9353, 9360, 9361, 9416, 9432, 9445, 9475, 9491, 9495, 9517, 9528, 9576, 9604, 9605, 9632, 9646, 9650, 9708, 9796, 9814, 9833, 9863, 9870, 9883, 9887, 9921, 9977, 9988, 9994, 10011, 10028, 10058, 10063, 10069, 10089, 10168, 10175, 10218, 10253, 10266, 10272, 10305, 10330, 10332, 10413, 10415, 10434, 10438, 10552, 10603, 10618, 10623, 10680, 10691, 10697, 10721, 10779, 10808, 10838, 10854, 10881, 10888, 10920, 10923, 10947, 10968, 10982, 11010, 11011, 11110, 11118, 11131, 11175, 11183, 11187, 11213, 11215, 11230, 11237, 11258, 11290, 11292, 11319, 11328, 11374, 11385, 11387, 11396, 11407, 11430, 11453, 11457, 11463, 11511, 11532, 11607, 11626, 11673, 11699, 11726, 11735, 11774, 11775, 11783, 11860, 11866, 11867, 11875, 11877, 11886, 11892, 11897, 11907, 11908, 11915, 11937, 11985, 11998, 12002, 12026, 12071, 12123, 12126, 12131, 12140, 12147, 12153, 12166, 12217, 12218, 12288, 12292, 12305, 12309, 12349, 12365, 12369, 12392, 12395, 12478, 12500, 12540, 12553, 12562, 12567, 12569, 12592, 12633, 12657, 12679, 12690, 12709, 12730, 12731, 12808, 12819, 12859, 12883, 12920, 12924, 12925, 12937, 12949, 13033, 13046, 13049, 13058, 13089, 13104, 13109, 13138, 13241, 13260, 13289, 13301, 13303, 13306, 13345, 13349, 13370, 13413, 13418, 13435, 13442, 13456, 13477, 13504, 13550, 13573, 13577, 13626, 13628, 13638, 13651, 13686, 13721, 13734, 13776, 13802, 13840, 13896, 13925, 13926, 13934, 13951, 13988, 14022, 14071, 14076, 14086, 14091, 14102, 14107, 14123, 14153, 14210, 14214, 14242, 14290, 14326, 14338, 14382, 14386, 14395, 14445, 14457, 14520, 14537, 14584, 14587, 14615, 14632, 14662, 14738, 14747, 14760, 14834, 14852, 14860, 14995, 15020, 15021, 15042, 15123, 15191, 15255, 15299, 15300, 15312, 15322, 15355, 15358, 15369, 15394, 15398, 15433, 15466, 15468, 15476, 15515, 15537, 15568, 15570, 15576, 15594, 15633, 15646, 15648, 15665, 15697, 15699, 15703, 15724, 15735, 15764, 15801, 15832, 15839, 15899, 15912, 15923, 15938, 15947, 15991, 15996, 16022, 16060, 16098, 16106, 16110, 16123, 16125, 16147, 16172, 16188, 16194, 16200, 16274, 16279, 16315, 16353, 16354, 16375, 16387, 16402, 16404, 16415, 16419, 16432, 16443, 16505, 16508, 16532, 16541, 16549, 16572, 16672, 16712, 16715, 16735, 16764, 16787, 16792, 16794, 16815, 16854, 16921, 16949, 16966, 16975, 16982, 17004, 17072, 17096, 17108, 17160, 17172, 17197, 17204, 17225, 17269, 17305, 17313, 17358, 17361, 17393, 17408, 17431, 17437, 17445, 17544, 17545, 17547, 17588, 17601, 17644, 17651, 17662, 17698, 17732, 17736, 17758, 17764}

Returns: 486503240
45

817

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Returns: 942377469
45

990

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Returns: 750890619
45

45

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

{137, 1141, 1597, 7389, 11732, 12670, 15467, 15842, 16828, 17027, 22759, 30144, 30256, 33143, 34060, 34854, 35017, 39144, 39147, 42097, 44436, 46919, 47338, 47876, 51529, 55436, 58380, 58596, 60226, 61493, 62369, 64313, 66403, 66678, 72551, 76147, 76614, 80782, 81899, 83846, 85802, 85943, 90412, 92006, 94398}

Returns: 112626560
74

73

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{536, 651, 666, 732, 956, 1179, 1233, 1415, 1668, 1794, 1804, 2063, 2263, 2420, 2541, 2543, 2687, 2859, 3007, 3203, 3352, 3439, 3459, 3817, 3930, 3966, 4008, 4342, 4460, 4630, 4878, 4928, 4948, 5383, 5663, 5715, 5769, 5889, 5927, 6031, 6323, 6443, 6529, 6576, 6862, 6899, 7041, 7204, 7251, 7459, 7493, 7601, 7719, 7845, 7917, 8077, 8119, 8180, 8438, 8458, 8513, 8775, 9191, 9326, 9398, 9401, 9408, 9901, 9907, 10021, 10282, 10623, 10779}

Returns: 503311063
74

88

{1, 2, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 14, 14, 14, 15, 16, 17, 18, 18, 19, 20, 20, 21, 21, 22, 23, 24, 25, 25, 25, 26, 26, 27, 27, 29, 30, 30, 31, 32, 33, 33, 34, 36, 38, 39, 39, 40, 41, 42, 45, 46, 46, 46, 46, 46, 46, 47, 48, 48, 49, 52, 53, 54, 56, 58, 60, 63, 65}

{33, 19, 14, 30, 64, 27, 30, 69, 70, 71, 40, 71, 38, 69, 9, 10, 73, 19, 74, 29, 72, 21, 22, 31, 74, 23, 35, 41, 54, 60, 54, 30, 48, 65, 73, 54, 64, 32, 44, 65, 28, 48, 46, 58, 39, 37, 34, 28, 58, 69, 52, 74, 46, 57, 69, 43, 48, 51, 53, 69, 72, 69, 37, 54, 67, 72, 59, 59, 57, 68, 50, 55, 56, 59, 67, 73, 74, 61, 63, 65, 63, 71, 72, 66, 62, 72, 66, 68}

{187, 223, 240, 264, 533, 751, 1201, 1456, 1544, 1838, 2018, 2045, 2052, 2482, 2596, 3427, 3442, 3708, 3818, 3865, 3925, 4824, 4924, 5178, 5753, 5857, 5917, 6020, 6040, 6118, 6644, 6762, 6955, 7026, 7037, 7375, 7619, 7754, 8136, 8419, 8451, 8583, 8784, 8886, 8888, 8894, 9325, 9362, 9833, 9952, 10178, 10314, 10396, 10672, 10920, 11223, 11273, 11291, 11486, 11528, 11723, 11753, 12170, 12561, 12637, 12769, 12802, 13027, 13254, 13356, 13486, 13527, 13578, 13696, 13740, 14076, 14086, 14265, 14307, 14419, 14624, 15041, 15351, 15399, 15462, 15549, 15615, 15650}

Returns: 369201595
74

129

{1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 19, 19, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26, 26, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 34, 34, 35, 37, 37, 38, 40, 40, 40, 41, 43, 44, 44, 45, 46, 46, 46, 46, 47, 47, 47, 48, 48, 49, 50, 51, 53, 56, 57, 57, 57, 58, 59, 61, 62, 69}

{16, 38, 54, 70, 5, 55, 65, 14, 18, 20, 53, 66, 30, 57, 72, 27, 55, 72, 45, 33, 20, 25, 31, 38, 74, 50, 55, 57, 59, 31, 55, 20, 23, 57, 66, 15, 21, 26, 36, 64, 15, 52, 54, 68, 16, 40, 41, 61, 36, 64, 70, 22, 36, 21, 72, 68, 31, 47, 58, 63, 73, 34, 57, 45, 74, 23, 27, 50, 65, 38, 48, 50, 56, 61, 62, 74, 61, 63, 32, 30, 42, 56, 41, 51, 65, 68, 39, 64, 45, 48, 72, 58, 67, 60, 65, 40, 47, 64, 39, 42, 43, 60, 71, 70, 64, 71, 59, 48, 50, 51, 53, 48, 49, 53, 66, 72, 50, 54, 57, 57, 71, 60, 73, 74, 73, 60, 64, 70, 72}

{92, 572, 731, 829, 1295, 1428, 1789, 2440, 2776, 2833, 2869, 3184, 3299, 3516, 3684, 4051, 4067, 4138, 4408, 4555, 5013, 5434, 5639, 5667, 5700, 5887, 6203, 6448, 6744, 7009, 7653, 7687, 8153, 8208, 8227, 8490, 8643, 9068, 9224, 9574, 10629, 11521, 12270, 12275, 12364, 12878, 13520, 13942, 14222, 14477, 14753, 14852, 14855, 14931, 15077, 15151, 15443, 15512, 15526, 15767, 16007, 16502, 16513, 17479, 17487, 18529, 18739, 18976, 19213, 19266, 19269, 19280, 19572, 19730, 19751, 19778, 19972, 20085, 20118, 20771, 21240, 21392, 21503, 21923, 22236, 22296, 22314, 22444, 22833, 22975, 23106, 23195, 23656, 23687, 24289, 24929, 25067, 25167, 25302, 25485, 25700, 26596, 27312, 27839, 27910, 28469, 28899, 29045, 29340, 29497, 29706, 29833, 30720, 30845, 31143, 31196, 31399, 31826, 32376, 32411, 32432, 32539, 32551, 33173, 33793, 33985, 34105, 34349, 35000}

Returns: 861373299
74

203

{1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 36, 36, 37, 38, 38, 39, 39, 39, 39, 40, 40, 41, 42, 42, 44, 44, 44, 44, 44, 44, 45, 45, 46, 46, 48, 48, 49, 50, 51, 51, 52, 52, 54, 54, 56, 57, 57, 58, 59, 59, 60, 60, 60, 61, 62, 64, 70, 70}

{12, 13, 38, 54, 70, 16, 36, 37, 41, 44, 46, 64, 67, 6, 9, 16, 31, 39, 60, 8, 12, 46, 47, 49, 13, 36, 59, 62, 63, 66, 20, 22, 41, 44, 59, 14, 48, 19, 35, 63, 71, 22, 21, 44, 58, 14, 39, 54, 74, 26, 53, 73, 15, 38, 51, 58, 29, 53, 55, 34, 60, 64, 70, 26, 43, 34, 36, 48, 54, 57, 70, 72, 43, 48, 50, 23, 25, 33, 48, 50, 60, 23, 33, 61, 33, 37, 40, 46, 62, 25, 30, 32, 46, 47, 50, 54, 63, 26, 31, 32, 38, 41, 45, 50, 35, 46, 54, 55, 60, 61, 38, 47, 61, 71, 65, 68, 72, 42, 43, 61, 74, 30, 38, 42, 44, 62, 64, 67, 45, 58, 68, 71, 49, 52, 41, 51, 54, 60, 62, 66, 67, 68, 36, 41, 48, 54, 56, 54, 71, 40, 55, 67, 41, 44, 58, 70, 74, 38, 56, 59, 48, 51, 53, 67, 46, 48, 65, 51, 65, 57, 58, 63, 64, 67, 73, 47, 60, 53, 61, 71, 73, 67, 69, 52, 70, 61, 67, 68, 69, 70, 60, 66, 69, 60, 69, 61, 63, 70, 62, 63, 67, 73, 74}

{60, 867, 1170, 1773, 1887, 1980, 2270, 2368, 3566, 4172, 4801, 4850, 5294, 5347, 5705, 6445, 6527, 7024, 7685, 8764, 8781, 9062, 9115, 9171, 9387, 11561, 11906, 12464, 12748, 13197, 14906, 16204, 16258, 16941, 17892, 19038, 19783, 19868, 20389, 20479, 20845, 21194, 21412, 22012, 22395, 23357, 23759, 23790, 24040, 24608, 24808, 24949, 25331, 25613, 25854, 25981, 26188, 26682, 26807, 27811, 28558, 29004, 29913, 30240, 30708, 30791, 31450, 32461, 33187, 33193, 33622, 33723, 34267, 35298, 35319, 36295, 38248, 38375, 38599, 38712, 38767, 39243, 39705, 39862, 40511, 40538, 40882, 41265, 41528, 41681, 42153, 42166, 44458, 44465, 44975, 45137, 45546, 45927, 46676, 47267, 48281, 48475, 48786, 50043, 50279, 50505, 50551, 51253, 51509, 52189, 52322, 52345, 52509, 52599, 52730, 52903, 53040, 53149, 53192, 53363, 53416, 53767, 54232, 54394, 55286, 55516, 55972, 55982, 56673, 56940, 57094, 57293, 57539, 57651, 58397, 58501, 58583, 59125, 59218, 59540, 61759, 61798, 62097, 62826, 63831, 63874, 64414, 64635, 64688, 65121, 65346, 65776, 66291, 66892, 66967, 67340, 67477, 68370, 68386, 69123, 70309, 71180, 71194, 71589, 71624, 71683, 74480, 75805, 75945, 76394, 76402, 76516, 76775, 76886, 76931, 77621, 78145, 78551, 78568, 78840, 78885, 79370, 79562, 80226, 80940, 81183, 81549, 82726, 83812, 83941, 83954, 84134, 85057, 85508, 85531, 85866, 86217, 86308, 86345, 86518, 87016, 87150, 87171}

Returns: 464257867
74

311

{1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 34, 34, 34, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 41, 41, 42, 42, 42, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 45, 46, 47, 47, 48, 48, 49, 50, 50, 50, 50, 51, 52, 52, 52, 53, 54, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 63, 64, 65, 66, 71}

{7, 15, 25, 27, 43, 72, 3, 11, 25, 26, 28, 33, 35, 36, 38, 44, 49, 50, 53, 54, 55, 57, 65, 70, 71, 13, 21, 42, 51, 64, 66, 70, 71, 10, 11, 24, 25, 36, 42, 54, 58, 65, 13, 22, 25, 27, 29, 40, 41, 42, 44, 64, 74, 24, 28, 32, 39, 41, 46, 53, 65, 69, 72, 18, 21, 34, 67, 69, 70, 72, 23, 26, 29, 36, 57, 65, 66, 70, 16, 20, 26, 39, 68, 15, 20, 30, 47, 12, 20, 25, 41, 42, 46, 59, 13, 31, 51, 57, 60, 16, 26, 31, 34, 42, 53, 57, 58, 61, 15, 24, 32, 33, 50, 59, 66, 68, 73, 19, 25, 28, 51, 57, 61, 31, 32, 40, 46, 49, 59, 62, 65, 74, 34, 57, 68, 21, 23, 28, 48, 49, 57, 72, 23, 33, 66, 68, 71, 73, 74, 37, 62, 63, 66, 68, 70, 71, 72, 24, 30, 34, 38, 54, 43, 50, 70, 73, 27, 28, 46, 70, 29, 51, 68, 32, 43, 44, 46, 31, 36, 41, 48, 50, 30, 37, 38, 44, 45, 52, 55, 65, 43, 49, 30, 34, 42, 46, 54, 58, 67, 68, 74, 41, 46, 59, 60, 63, 69, 33, 43, 50, 52, 59, 66, 69, 71, 72, 47, 49, 53, 58, 71, 73, 35, 47, 48, 54, 58, 70, 45, 55, 60, 40, 41, 43, 47, 54, 70, 74, 40, 44, 46, 54, 65, 52, 72, 42, 52, 53, 54, 58, 59, 65, 66, 49, 61, 42, 57, 48, 49, 65, 53, 54, 61, 62, 74, 48, 62, 69, 70, 73, 50, 64, 71, 74, 51, 71, 73, 52, 55, 60, 72, 62, 55, 57, 73, 62, 68, 60, 63, 66, 69, 73, 67, 69, 59, 66, 71, 74, 59, 70, 73, 62, 73, 64, 63, 66, 73, 66, 67, 70, 72}

{178, 182, 255, 407, 514, 522, 683, 775, 863, 980, 1047, 1153, 1326, 1332, 1364, 1629, 1711, 1831, 1943, 2122, 2146, 2199, 2339, 2597, 2737, 2837, 2895, 2911, 3283, 3316, 3325, 3506, 3591, 3655, 3760, 3967, 3976, 4128, 4580, 4790, 5023, 5313, 5350, 5373, 5581, 5599, 5630, 5656, 5703, 5801, 5888, 5936, 6022, 6060, 6177, 6557, 6597, 6641, 6897, 6911, 6938, 7110, 7274, 7359, 7366, 7380, 7770, 7824, 8135, 8198, 8448, 8576, 8604, 8641, 8868, 8910, 9110, 9243, 9276, 9315, 9425, 9529, 9632, 9633, 9705, 9800, 9882, 9898, 10030, 10060, 10073, 10135, 10292, 10321, 10332, 10401, 10420, 10683, 10850, 10937, 11122, 11316, 11376, 11426, 11829, 11891, 12198, 12214, 12231, 12355, 12434, 12435, 12496, 12525, 12681, 12790, 12868, 13046, 13264, 13494, 13667, 13751, 13923, 13974, 14119, 14147, 14166, 14192, 14196, 14325, 14383, 14420, 14699, 14765, 14856, 15184, 15373, 15418, 15482, 15527, 15652, 15709, 16192, 16407, 16430, 16559, 16590, 16651, 16950, 17006, 17039, 17110, 17164, 17368, 17535, 17641, 18083, 18151, 18409, 18481, 18513, 18660, 18784, 18852, 18873, 18895, 18897, 19207, 19238, 19274, 19541, 19625, 19626, 19656, 19659, 19665, 19668, 19804, 19963, 20081, 20096, 20210, 20229, 20398, 20492, 20688, 20721, 20806, 20864, 20879, 21020, 21248, 21417, 21610, 21637, 21638, 21709, 21807, 21877, 21989, 22123, 22148, 22165, 22361, 22424, 22466, 22563, 22602, 22658, 22740, 22840, 22906, 22964, 23123, 23130, 23155, 23463, 23466, 23572, 23659, 23902, 23957, 24032, 24172, 24421, 24558, 24653, 25112, 25332, 25367, 25456, 25600, 25602, 25678, 25793, 26140, 26501, 26654, 26720, 27002, 27039, 27170, 27307, 27314, 27370, 27486, 27491, 27498, 27593, 27626, 27738, 27748, 27818, 27848, 27872, 28204, 28294, 28491, 28499, 28809, 28889, 29897, 29956, 29983, 30029, 30174, 30217, 30253, 30685, 30690, 31002, 31076, 31165, 31281, 31292, 31376, 31580, 31692, 31704, 31742, 31765, 31809, 31895, 31898, 31949, 31954, 31961, 31980, 32104, 32156, 32164, 32417, 32635, 32809, 32924, 32931, 32949, 33131, 33167, 33664, 33743, 33768, 33819, 34007, 34134, 34355, 34580, 34782, 34910, 34938, 35010}

Returns: 732654744
74

454

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Returns: 975348921
74

529

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Returns: 911775938
74

716

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Returns: 384102835
74

869

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{5, 6, 9, 12, 13, 14, 17, 19, 20, 22, 24, 25, 26, 29, 33, 36, 37, 40, 46, 48, 55, 59, 64, 65, 66, 72, 74, 5, 7, 11, 14, 15, 18, 19, 24, 29, 30, 38, 42, 43, 44, 50, 52, 53, 56, 57, 60, 66, 71, 4, 7, 10, 13, 14, 15, 22, 27, 30, 34, 35, 36, 39, 48, 49, 54, 58, 61, 67, 70, 71, 74, 5, 6, 7, 9, 10, 15, 18, 19, 25, 26, 30, 31, 32, 40, 41, 42, 43, 46, 49, 51, 54, 55, 57, 58, 59, 62, 66, 68, 69, 71, 73, 7, 8, 11, 12, 18, 21, 24, 27, 36, 40, 43, 44, 46, 48, 50, 58, 61, 62, 63, 64, 65, 8, 9, 13, 14, 16, 19, 21, 34, 35, 36, 37, 40, 52, 54, 62, 67, 69, 70, 8, 10, 19, 30, 42, 44, 49, 53, 54, 58, 60, 61, 63, 67, 68, 73, 74, 10, 11, 13, 16, 19, 21, 22, 26, 27, 32, 38, 40, 43, 47, 48, 49, 51, 55, 56, 59, 64, 65, 68, 70, 73, 10, 11, 12, 13, 18, 20, 22, 23, 25, 27, 28, 30, 35, 40, 47, 48, 55, 59, 64, 73, 15, 17, 18, 19, 20, 21, 22, 26, 27, 32, 40, 42, 47, 51, 52, 54, 56, 63, 67, 72, 13, 14, 15, 16, 19, 20, 25, 29, 36, 45, 47, 49, 50, 55, 56, 60, 61, 63, 64, 67, 69, 73, 14, 15, 19, 20, 23, 26, 29, 32, 39, 41, 43, 48, 50, 52, 56, 59, 61, 64, 69, 15, 20, 23, 26, 27, 28, 31, 35, 36, 39, 44, 54, 61, 63, 67, 70, 72, 73, 20, 21, 22, 23, 27, 30, 31, 32, 43, 44, 49, 55, 69, 70, 72, 74, 22, 24, 29, 32, 33, 36, 38, 39, 43, 51, 55, 56, 57, 67, 71, 73, 17, 22, 33, 38, 41, 42, 51, 54, 56, 62, 69, 20, 21, 26, 27, 31, 35, 36, 37, 38, 39, 44, 45, 55, 57, 59, 60, 61, 64, 67, 69, 70, 71, 72, 74, 19, 22, 27, 28, 29, 31, 34, 35, 37, 39, 43, 45, 46, 48, 52, 54, 57, 59, 60, 64, 66, 68, 71, 72, 73, 20, 22, 23, 26, 27, 33, 37, 38, 40, 42, 44, 47, 49, 54, 58, 59, 60, 62, 63, 65, 69, 22, 23, 28, 30, 32, 39, 41, 42, 45, 47, 48, 50, 51, 53, 55, 61, 65, 68, 22, 27, 28, 29, 33, 36, 37, 38, 45, 49, 52, 53, 55, 56, 63, 65, 67, 69, 26, 31, 33, 34, 43, 59, 62, 67, 68, 73, 74, 25, 34, 35, 36, 40, 43, 44, 50, 52, 53, 56, 57, 58, 59, 64, 67, 68, 25, 26, 27, 29, 35, 39, 44, 46, 49, 54, 56, 63, 72, 74, 28, 29, 34, 35, 40, 44, 45, 46, 48, 53, 57, 59, 61, 62, 63, 29, 30, 31, 32, 34, 36, 40, 42, 44, 46, 48, 49, 51, 52, 58, 59, 61, 68, 70, 71, 73, 74, 31, 32, 43, 45, 51, 54, 57, 59, 63, 65, 69, 34, 35, 36, 43, 44, 46, 48, 54, 55, 57, 61, 63, 73, 34, 35, 41, 42, 43, 44, 46, 49, 53, 60, 62, 63, 68, 69, 31, 33, 39, 42, 53, 59, 61, 65, 67, 72, 73, 38, 43, 45, 48, 49, 50, 56, 57, 62, 64, 65, 69, 71, 74, 33, 37, 38, 44, 45, 47, 48, 52, 53, 61, 66, 67, 71, 72, 73, 74, 40, 48, 51, 53, 56, 63, 64, 65, 69, 71, 36, 42, 48, 50, 57, 59, 60, 67, 68, 70, 73, 48, 51, 52, 58, 61, 73, 44, 48, 49, 51, 53, 54, 55, 56, 60, 61, 69, 72, 73, 41, 43, 46, 47, 53, 55, 63, 64, 67, 68, 71, 39, 45, 46, 47, 49, 51, 56, 59, 61, 69, 74, 40, 43, 47, 50, 52, 53, 56, 57, 58, 61, 69, 70, 72, 42, 44, 46, 48, 54, 56, 58, 65, 66, 67, 71, 72, 44, 50, 52, 53, 55, 57, 58, 59, 70, 71, 72, 74, 45, 49, 51, 52, 56, 57, 63, 64, 66, 67, 69, 72, 50, 56, 58, 60, 62, 63, 67, 68, 70, 71, 74, 46, 48, 49, 52, 59, 69, 47, 49, 53, 57, 61, 68, 69, 49, 50, 56, 57, 64, 69, 72, 48, 49, 50, 51, 53, 54, 56, 59, 68, 73, 50, 54, 55, 56, 58, 61, 62, 64, 65, 66, 69, 73, 50, 52, 55, 56, 59, 60, 62, 66, 67, 71, 72, 73, 51, 52, 56, 60, 66, 70, 73, 53, 57, 58, 63, 66, 70, 53, 54, 58, 60, 61, 65, 67, 69, 70, 61, 65, 70, 74, 55, 56, 62, 64, 70, 71, 74, 57, 59, 60, 61, 62, 66, 69, 71, 72, 73, 59, 61, 62, 64, 66, 70, 71, 63, 66, 68, 70, 73, 74, 59, 60, 67, 72, 74, 63, 66, 67, 70, 71, 73, 66, 67, 71, 74, 63, 65, 68, 74, 63, 65, 67, 70, 73, 65, 66, 67, 68, 69, 70, 71, 65, 66, 68, 66, 71, 69, 71, 72, 74, 69, 71, 73, 70, 72, 74, 71, 74}

{3, 10, 24, 48, 50, 56, 57, 98, 104, 113, 152, 177, 191, 218, 221, 224, 255, 259, 261, 289, 303, 304, 318, 319, 354, 371, 377, 392, 398, 425, 428, 446, 467, 491, 496, 498, 519, 545, 559, 603, 604, 612, 619, 621, 646, 649, 662, 685, 716, 722, 769, 770, 810, 830, 840, 846, 856, 858, 859, 877, 905, 906, 927, 931, 1006, 1018, 1023, 1026, 1028, 1036, 1085, 1112, 1118, 1129, 1137, 1153, 1172, 1184, 1227, 1248, 1279, 1325, 1327, 1350, 1360, 1368, 1372, 1395, 1400, 1410, 1416, 1441, 1455, 1462, 1480, 1498, 1504, 1521, 1539, 1541, 1551, 1564, 1571, 1583, 1589, 1593, 1594, 1617, 1618, 1622, 1632, 1637, 1641, 1645, 1727, 1732, 1743, 1773, 1782, 1793, 1798, 1807, 1813, 1830, 1861, 1885, 1933, 1938, 1944, 1958, 1964, 1982, 2001, 2064, 2077, 2081, 2083, 2104, 2120, 2160, 2194, 2200, 2232, 2242, 2247, 2251, 2252, 2297, 2401, 2408, 2423, 2439, 2449, 2454, 2470, 2497, 2539, 2550, 2556, 2565, 2573, 2575, 2629, 2645, 2667, 2748, 2777, 2783, 2801, 2802, 2830, 2836, 2837, 2885, 2908, 2914, 2936, 2943, 2954, 2965, 2967, 2985, 3005, 3010, 3012, 3069, 3071, 3106, 3134, 3145, 3151, 3203, 3214, 3220, 3302, 3336, 3352, 3397, 3404, 3405, 3416, 3447, 3457, 3458, 3462, 3495, 3520, 3521, 3536, 3552, 3558, 3580, 3586, 3619, 3631, 3635, 3692, 3699, 3718, 3746, 3777, 3793, 3794, 3862, 3871, 3880, 3891, 3902, 3931, 3939, 3955, 3961, 3975, 4020, 4022, 4023, 4038, 4047, 4061, 4098, 4109, 4114, 4149, 4153, 4179, 4202, 4251, 4261, 4277, 4295, 4299, 4311, 4314, 4330, 4365, 4369, 4375, 4378, 4397, 4423, 4446, 4461, 4466, 4507, 4508, 4519, 4536, 4568, 4613, 4636, 4642, 4663, 4677, 4679, 4684, 4688, 4707, 4718, 4721, 4742, 4752, 4789, 4792, 4814, 4833, 4841, 4859, 4866, 4877, 4881, 4925, 4992, 5001, 5011, 5022, 5036, 5084, 5093, 5107, 5110, 5117, 5121, 5126, 5152, 5156, 5159, 5166, 5168, 5173, 5176, 5177, 5178, 5185, 5197, 5221, 5249, 5257, 5270, 5274, 5285, 5300, 5347, 5394, 5397, 5404, 5436, 5450, 5457, 5469, 5497, 5503, 5535, 5537, 5554, 5569, 5571, 5602, 5657, 5683, 5690, 5694, 5700, 5705, 5708, 5734, 5735, 5797, 5852, 5908, 5948, 5956, 5958, 5991, 5996, 6049, 6066, 6141, 6146, 6173, 6174, 6178, 6182, 6186, 6187, 6214, 6231, 6233, 6248, 6269, 6329, 6334, 6342, 6359, 6386, 6410, 6419, 6449, 6468, 6497, 6535, 6541, 6545, 6557, 6560, 6570, 6574, 6577, 6594, 6596, 6598, 6610, 6615, 6628, 6652, 6725, 6783, 6785, 6798, 6812, 6824, 6828, 6832, 6843, 6847, 6849, 6851, 6884, 6916, 6929, 6958, 6966, 6979, 6996, 7025, 7027, 7045, 7067, 7068, 7093, 7095, 7113, 7122, 7130, 7136, 7160, 7162, 7170, 7192, 7219, 7227, 7263, 7271, 7284, 7296, 7303, 7307, 7330, 7333, 7345, 7359, 7364, 7395, 7419, 7425, 7437, 7486, 7522, 7567, 7595, 7609, 7611, 7621, 7666, 7697, 7700, 7713, 7716, 7717, 7719, 7731, 7792, 7810, 7813, 7816, 7820, 7835, 7868, 7882, 7898, 7922, 7979, 7980, 7982, 7988, 7993, 7996, 8004, 8008, 8010, 8028, 8066, 8082, 8108, 8113, 8114, 8129, 8137, 8144, 8164, 8172, 8173, 8184, 8191, 8210, 8217, 8228, 8235, 8241, 8257, 8271, 8281, 8286, 8356, 8390, 8397, 8414, 8440, 8456, 8470, 8484, 8494, 8503, 8520, 8564, 8575, 8657, 8662, 8688, 8697, 8706, 8710, 8711, 8742, 8744, 8756, 8777, 8781, 8816, 8818, 8831, 8838, 8853, 8858, 8962, 8972, 9014, 9030, 9046, 9077, 9097, 9120, 9131, 9144, 9159, 9160, 9173, 9175, 9193, 9204, 9232, 9241, 9281, 9289, 9295, 9324, 9338, 9342, 9366, 9371, 9373, 9389, 9402, 9431, 9434, 9445, 9454, 9456, 9467, 9518, 9538, 9557, 9564, 9568, 9623, 9683, 9701, 9736, 9750, 9758, 9759, 9772, 9792, 9798, 9817, 9849, 9908, 9915, 9916, 9947, 9952, 9972, 10032, 10068, 10077, 10082, 10093, 10094, 10098, 10139, 10146, 10182, 10188, 10208, 10213, 10228, 10244, 10247, 10275, 10291, 10318, 10320, 10326, 10329, 10341, 10367, 10387, 10395, 10396, 10418, 10441, 10487, 10518, 10528, 10534, 10544, 10604, 10617, 10653, 10673, 10681, 10694, 10702, 10721, 10752, 10778, 10791, 10806, 10818, 10834, 10855, 10857, 10862, 10864, 10879, 10884, 10886, 10889, 10915, 10941, 10951, 10953, 10991, 10997, 11014, 11049, 11057, 11076, 11077, 11087, 11128, 11129, 11209, 11213, 11257, 11268, 11278, 11281, 11291, 11318, 11356, 11379, 11398, 11400, 11531, 11538, 11557, 11575, 11612, 11613, 11642, 11657, 11675, 11679, 11736, 11742, 11776, 11786, 11796, 11836, 11855, 11880, 11887, 11889, 11897, 11904, 11920, 11923, 11929, 11930, 11942, 11951, 11966, 11976, 11991, 11995, 12002, 12045, 12052, 12075, 12082, 12103, 12115, 12123, 12151, 12152, 12168, 12183, 12200, 12202, 12269, 12272, 12294, 12312, 12322, 12327, 12344, 12415, 12443, 12446, 12453, 12479, 12591, 12593, 12598, 12605, 12622, 12627, 12636, 12663, 12677, 12710, 12744, 12816, 12832, 12851, 12892, 12966, 12991, 13000, 13014, 13018, 13041, 13046, 13053, 13059, 13066, 13087, 13091, 13093, 13107, 13155, 13159, 13163, 13177, 13186, 13233, 13237, 13250, 13265, 13273, 13278, 13297, 13319, 13327, 13338, 13347, 13353, 13365, 13374, 13381, 13418, 13420, 13421, 13425, 13428, 13435, 13443, 13466, 13478, 13482, 13501, 13512, 13520, 13521, 13524, 13531, 13548, 13607, 13638, 13645, 13647, 13656, 13685, 13698, 13709, 13712, 13724, 13744, 13760, 13761, 13771, 13781, 13782, 13803, 13806, 13807, 13814, 13815, 13821, 13825, 13835, 13858, 13863, 13867, 13897, 13898, 13902, 13909, 13921, 13926, 13953, 13971, 13980, 13995, 14024, 14060, 14100, 14105, 14118, 14128, 14130, 14134, 14139, 14171, 14179, 14222, 14223, 14270, 14275, 14320, 14330, 14353, 14365, 14396, 14401, 14423, 14428, 14461, 14480, 14489, 14512, 14547, 14551, 14553, 14558, 14583, 14588, 14596, 14602}

Returns: 392065440
98

97

{1, 2, 2, 3, 4, 4, 4, 4, 5, 6, 6, 7, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 18, 18, 18, 19, 20, 21, 22, 22, 24, 25, 26, 27, 28, 29, 30, 30, 31, 31, 32, 33, 34, 35, 36, 37, 37, 37, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 48, 49, 51, 51, 52, 53, 56, 56, 57, 57, 59, 60, 61, 62, 63, 65, 66, 67, 68, 70, 71, 76, 79, 86, 93, 94}

{97, 26, 52, 25, 13, 47, 77, 80, 37, 78, 89, 98, 38, 63, 70, 20, 23, 48, 61, 70, 73, 94, 81, 97, 83, 17, 54, 58, 73, 50, 63, 69, 86, 46, 78, 25, 38, 83, 84, 80, 92, 41, 49, 89, 85, 72, 65, 78, 72, 55, 71, 36, 40, 69, 57, 38, 48, 64, 53, 67, 87, 97, 44, 68, 66, 60, 91, 73, 58, 67, 89, 92, 51, 61, 75, 70, 74, 84, 98, 76, 93, 66, 93, 88, 69, 90, 71, 84, 82, 85, 98, 88, 95, 86, 91, 94, 96}

{16, 105, 152, 216, 330, 586, 690, 913, 1103, 1772, 2148, 2233, 2434, 2543, 2805, 3152, 4682, 4877, 5342, 5488, 5558, 5662, 5706, 5757, 6301, 6681, 7377, 7584, 8079, 8994, 9700, 9723, 10442, 10924, 11011, 11468, 11798, 11960, 12451, 12911, 12924, 13048, 13662, 13799, 14193, 14275, 14906, 15177, 15235, 15776, 15995, 16560, 16835, 16966, 16998, 17149, 17395, 17748, 17820, 18142, 18198, 18439, 18529, 19033, 19237, 19463, 19538, 19760, 19910, 19997, 20199, 20693, 20845, 21674, 22225, 22357, 22379, 23609, 24512, 25157, 25768, 26359, 26500, 27178, 27263, 27276, 27607, 27881, 27911, 28057, 28317, 28650, 28672, 28694, 28962, 29439, 29576}

Returns: 65536
98

106

{1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 10, 11, 11, 12, 13, 13, 13, 13, 13, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 26, 26, 26, 27, 28, 30, 30, 30, 31, 32, 33, 33, 35, 37, 39, 40, 40, 40, 41, 42, 42, 42, 43, 44, 44, 45, 45, 48, 48, 49, 53, 54, 56, 57, 58, 58, 61, 62, 63, 63, 64, 66, 66, 69, 69, 71, 71, 72, 73, 75, 75, 83, 86, 95}

{61, 77, 13, 18, 51, 60, 29, 91, 22, 83, 85, 81, 97, 71, 89, 10, 25, 78, 95, 31, 86, 86, 56, 34, 91, 51, 19, 20, 41, 52, 70, 90, 65, 67, 36, 58, 83, 37, 96, 33, 34, 69, 82, 29, 93, 65, 58, 57, 40, 38, 61, 32, 51, 52, 55, 43, 86, 51, 79, 84, 46, 46, 47, 62, 42, 52, 81, 61, 80, 91, 96, 50, 58, 65, 66, 90, 93, 53, 94, 71, 98, 65, 70, 66, 64, 97, 59, 97, 92, 83, 68, 69, 88, 80, 87, 74, 88, 76, 83, 94, 97, 77, 86, 87, 94, 97}

{746, 842, 2145, 2824, 2994, 3168, 3700, 3838, 4316, 4513, 4522, 4820, 5017, 5211, 5332, 5657, 6013, 6151, 6513, 6531, 6615, 6872, 7732, 8282, 9065, 9613, 9723, 10166, 10182, 10349, 10975, 11664, 11771, 12359, 12686, 12900, 13134, 13309, 13416, 13826, 14027, 14577, 14654, 14737, 15521, 16427, 16758, 17574, 17673, 18336, 18565, 18778, 18848, 19240, 19579, 19603, 20246, 20320, 20395, 20416, 21251, 21575, 21657, 22312, 24091, 24924, 25367, 25556, 25656, 25776, 26223, 26539, 26701, 27050, 27141, 27462, 27540, 28092, 28772, 28898, 29607, 29948, 30144, 30703, 31622, 32042, 33353, 34240, 34477, 34829, 35355, 35425, 35798, 36032, 36306, 36976, 37103, 37275, 37612, 37696, 39305, 39449, 39539, 41434, 41615, 41996}

Returns: 855798920
98

143

{1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 23, 23, 23, 23, 24, 25, 26, 26, 26, 26, 28, 29, 29, 29, 30, 30, 31, 31, 31, 32, 33, 34, 34, 36, 36, 37, 38, 38, 38, 38, 39, 39, 40, 41, 41, 41, 42, 44, 45, 46, 47, 47, 48, 48, 49, 49, 50, 51, 52, 53, 53, 54, 55, 56, 56, 56, 57, 57, 58, 58, 59, 60, 62, 62, 63, 65, 65, 66, 68, 69, 70, 71, 73, 74, 81, 84, 84, 86, 87, 89, 89, 93}

{10, 13, 25, 47, 78, 33, 35, 63, 98, 34, 82, 85, 18, 22, 23, 96, 31, 40, 80, 85, 14, 27, 64, 92, 35, 71, 10, 68, 83, 95, 25, 40, 73, 35, 97, 83, 95, 73, 22, 69, 79, 27, 61, 76, 19, 62, 69, 92, 64, 70, 55, 36, 78, 86, 23, 83, 88, 24, 95, 43, 68, 57, 61, 70, 72, 59, 98, 53, 67, 76, 89, 79, 34, 57, 90, 33, 87, 41, 63, 64, 84, 37, 41, 93, 45, 69, 52, 68, 83, 89, 97, 66, 68, 94, 46, 55, 58, 70, 51, 77, 59, 61, 67, 59, 79, 65, 95, 67, 68, 96, 81, 97, 75, 80, 67, 76, 87, 75, 91, 62, 77, 74, 84, 67, 92, 88, 70, 78, 92, 77, 91, 93, 84, 90, 80, 95, 89, 92, 91, 88, 94, 98, 94}

{1660, 2147, 2278, 3617, 3782, 4433, 5593, 5889, 6590, 7056, 7154, 7737, 7825, 7914, 8630, 9792, 10184, 10403, 10822, 11090, 11903, 12766, 13141, 13274, 13353, 13721, 13733, 14057, 15554, 16259, 16272, 16682, 17858, 18669, 18845, 18952, 19005, 19249, 20722, 21522, 21778, 22994, 23379, 24598, 26854, 26900, 27214, 27414, 28837, 28946, 31449, 32971, 32989, 34833, 35253, 35606, 35878, 37313, 37377, 37550, 37776, 37828, 38109, 38540, 39801, 39993, 40457, 40668, 41041, 41448, 41619, 42247, 43806, 44891, 45497, 45582, 47354, 47609, 47675, 48634, 49876, 50002, 51720, 51862, 52236, 52391, 53721, 54199, 54395, 55168, 55610, 55926, 56350, 56443, 56653, 57189, 57453, 58146, 58492, 58622, 58714, 58842, 59195, 59779, 60211, 61222, 61378, 62465, 64827, 65085, 66322, 66560, 67254, 67586, 67963, 69129, 69138, 70100, 70329, 71081, 71803, 72258, 72865, 73048, 73924, 74892, 75321, 76813, 78770, 79845, 81391, 82136, 82916, 83856, 83971, 86301, 87218, 89406, 91432, 92042, 92058, 92543, 93368}

Returns: 769024940
98

200

{1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 24, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 30, 31, 31, 32, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 36, 36, 37, 37, 37, 37, 38, 38, 38, 38, 38, 39, 39, 39, 40, 40, 40, 41, 42, 42, 43, 43, 43, 43, 44, 44, 44, 44, 45, 45, 45, 46, 46, 47, 47, 47, 47, 47, 47, 48, 49, 49, 49, 50, 50, 50, 51, 52, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 59, 60, 60, 61, 62, 62, 63, 64, 64, 65, 65, 67, 67, 68, 68, 69, 71, 72, 75, 77, 79, 80, 83, 84, 85, 86, 86}

{35, 14, 90, 15, 35, 91, 6, 7, 11, 37, 56, 13, 14, 17, 31, 45, 57, 78, 68, 77, 84, 30, 55, 90, 9, 17, 68, 90, 16, 19, 51, 46, 66, 82, 39, 25, 82, 56, 97, 49, 82, 30, 62, 80, 21, 38, 58, 18, 40, 63, 79, 23, 30, 84, 89, 90, 31, 60, 70, 90, 26, 87, 45, 95, 33, 55, 79, 71, 43, 53, 85, 86, 86, 91, 62, 66, 79, 86, 89, 92, 93, 53, 55, 65, 66, 74, 81, 86, 38, 51, 55, 86, 62, 52, 67, 54, 37, 46, 61, 63, 94, 42, 51, 73, 85, 92, 49, 63, 48, 78, 81, 90, 39, 47, 59, 83, 98, 51, 67, 73, 42, 70, 97, 93, 68, 97, 64, 76, 82, 98, 86, 90, 93, 95, 59, 65, 82, 67, 87, 49, 65, 72, 78, 81, 88, 98, 69, 76, 87, 51, 52, 62, 64, 75, 60, 69, 92, 56, 76, 77, 79, 83, 85, 92, 96, 58, 69, 92, 75, 90, 94, 75, 78, 83, 87, 91, 97, 74, 80, 70, 90, 95, 85, 92, 86, 97, 83, 92, 70, 93, 73, 81, 85, 89, 90, 97, 93, 88, 88, 97}

{7, 26, 42, 75, 140, 214, 229, 239, 254, 279, 286, 331, 345, 361, 368, 402, 409, 411, 453, 464, 467, 494, 547, 558, 561, 575, 591, 593, 660, 666, 680, 692, 727, 757, 764, 773, 776, 779, 786, 796, 822, 887, 907, 941, 1024, 1025, 1038, 1052, 1149, 1174, 1191, 1202, 1224, 1236, 1239, 1244, 1268, 1288, 1292, 1324, 1370, 1374, 1375, 1376, 1380, 1436, 1469, 1492, 1580, 1625, 1635, 1679, 1731, 1738, 1758, 1768, 1771, 1778, 1792, 1824, 1833, 1841, 1864, 1866, 1912, 1914, 1929, 1953, 1958, 1980, 1994, 2090, 2099, 2106, 2107, 2131, 2167, 2169, 2171, 2213, 2263, 2273, 2296, 2301, 2316, 2337, 2385, 2392, 2396, 2411, 2412, 2414, 2491, 2502, 2521, 2522, 2525, 2574, 2608, 2649, 2657, 2661, 2726, 2728, 2747, 2748, 2755, 2792, 2799, 2813, 2854, 2855, 2867, 2888, 2909, 2935, 2954, 2981, 2989, 2996, 3053, 3113, 3126, 3130, 3157, 3170, 3185, 3193, 3205, 3220, 3233, 3294, 3310, 3323, 3354, 3361, 3396, 3416, 3453, 3466, 3476, 3505, 3525, 3530, 3542, 3566, 3616, 3623, 3625, 3627, 3639, 3655, 3702, 3729, 3747, 3755, 3799, 3815, 3827, 3849, 3905, 3910, 3932, 3965, 3966, 4031, 4081, 4106, 4116, 4125, 4127, 4137, 4155, 4162, 4165, 4168, 4175, 4231, 4239, 4277}

Returns: 128
98

297

{1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 33, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 44, 44, 44, 45, 45, 46, 46, 47, 47, 47, 48, 48, 48, 49, 50, 50, 50, 51, 51, 51, 52, 53, 53, 54, 55, 55, 57, 57, 58, 58, 58, 58, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 63, 64, 64, 64, 64, 64, 64, 64, 67, 67, 67, 68, 69, 69, 69, 69, 69, 70, 71, 71, 72, 72, 73, 75, 76, 77, 77, 77, 78, 78, 79, 80, 80, 80, 80, 81, 83, 88, 90, 90, 91, 97}

{21, 27, 61, 79, 95, 96, 97, 10, 20, 24, 31, 42, 96, 24, 26, 33, 40, 46, 49, 63, 64, 74, 75, 33, 48, 65, 68, 91, 25, 29, 49, 59, 61, 11, 16, 36, 44, 47, 49, 53, 55, 88, 17, 25, 38, 51, 62, 73, 79, 80, 24, 27, 40, 62, 66, 82, 91, 18, 43, 72, 85, 26, 47, 60, 14, 25, 40, 46, 54, 70, 80, 86, 88, 44, 47, 73, 77, 86, 45, 51, 53, 61, 62, 69, 93, 37, 56, 82, 83, 21, 50, 84, 88, 36, 40, 42, 51, 62, 70, 89, 19, 29, 34, 50, 54, 52, 63, 79, 93, 94, 32, 43, 44, 45, 46, 49, 60, 90, 35, 58, 32, 47, 50, 80, 86, 98, 29, 43, 58, 87, 95, 65, 75, 81, 45, 52, 56, 62, 79, 85, 59, 60, 67, 69, 91, 37, 44, 48, 52, 81, 88, 98, 30, 34, 79, 92, 36, 40, 45, 76, 82, 67, 72, 85, 87, 35, 90, 44, 57, 92, 65, 89, 36, 41, 89, 43, 49, 80, 90, 42, 49, 92, 57, 60, 69, 96, 40, 46, 50, 84, 98, 53, 68, 87, 92, 96, 97, 43, 57, 67, 73, 92, 52, 54, 59, 83, 84, 88, 57, 72, 79, 84, 87, 68, 82, 91, 52, 94, 55, 96, 50, 52, 91, 54, 72, 82, 70, 72, 89, 94, 68, 69, 78, 76, 57, 68, 94, 81, 86, 60, 87, 63, 64, 65, 68, 69, 93, 87, 98, 75, 90, 65, 88, 67, 84, 87, 71, 75, 86, 88, 91, 96, 98, 68, 71, 86, 81, 73, 74, 78, 88, 96, 94, 89, 91, 78, 90, 83, 85, 83, 87, 89, 97, 89, 98, 82, 82, 83, 90, 96, 91, 86, 93, 91, 93, 95, 98}

{108, 259, 650, 742, 803, 821, 1068, 1614, 2111, 2289, 2584, 2954, 3278, 3552, 3927, 4106, 4448, 4731, 4773, 5015, 5390, 5454, 5579, 5583, 5692, 5826, 6130, 6262, 6474, 6680, 6747, 7132, 7153, 7166, 7724, 8170, 9409, 9743, 10131, 10184, 10304, 10338, 10446, 10868, 11475, 11538, 11818, 12264, 12322, 12647, 12884, 13356, 13461, 13497, 13621, 13660, 13794, 13819, 13843, 14044, 14351, 14502, 14749, 15222, 15240, 15269, 15363, 15475, 16008, 16141, 16242, 16265, 16531, 16894, 17307, 17436, 17524, 17947, 18083, 18090, 18558, 19217, 19256, 19505, 19738, 19841, 19926, 20620, 20944, 20974, 21303, 21430, 21469, 21484, 21776, 21855, 22040, 22175, 22230, 22324, 22460, 22932, 22998, 23311, 23392, 23788, 23974, 24138, 24422, 24801, 25069, 25098, 25146, 25762, 25802, 26128, 26628, 26713, 26781, 27014, 27117, 27342, 27349, 27394, 27433, 27538, 28569, 28910, 29767, 30218, 30353, 31004, 31136, 31163, 31183, 32038, 32066, 32157, 32209, 32217, 32250, 32469, 32470, 32513, 32741, 33088, 33334, 33819, 33905, 34628, 35142, 36059, 36695, 36891, 37402, 37475, 37932, 37996, 38807, 39026, 39066, 39119, 39184, 39641, 39788, 39827, 40664, 40951, 41096, 41268, 41338, 41413, 41459, 41505, 41653, 41680, 41818, 42364, 42370, 42381, 42542, 42556, 42604, 42668, 42876, 43056, 43219, 43596, 43632, 43876, 44220, 44562, 44936, 45316, 45403, 45578, 45587, 46207, 46439, 46453, 46616, 46765, 47343, 47469, 47473, 47857, 48180, 48229, 48830, 48941, 49110, 49354, 49367, 49438, 49467, 49759, 50054, 50432, 51436, 51969, 52016, 52017, 52145, 52154, 52206, 52677, 52710, 52866, 53020, 53340, 53457, 53519, 54016, 54209, 54302, 54317, 55126, 55201, 55207, 55659, 55713, 56150, 56297, 56323, 57253, 57553, 57778, 57880, 58032, 58309, 58504, 58658, 58861, 59695, 59794, 60234, 60792, 61127, 61138, 61528, 61658, 61677, 62094, 62364, 62531, 62696, 62796, 63783, 64129, 64246, 64480, 64695, 64792, 65055, 65632, 65986, 66070, 66132, 66144, 66643, 66780, 66838, 66894, 67175, 67264, 67435, 67463, 67601, 67660, 67816, 68034, 68093, 68330, 68382, 69276, 69319, 69345}

Returns: 65323390
98

449

{1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 46, 46, 46, 46, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 52, 52, 52, 53, 53, 53, 53, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 57, 57, 57, 58, 58, 58, 59, 60, 60, 60, 60, 61, 61, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 64, 65, 65, 65, 65, 65, 66, 66, 66, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 69, 69, 69, 70, 70, 70, 70, 71, 72, 72, 72, 72, 74, 74, 74, 74, 75, 76, 76, 76, 77, 78, 78, 78, 79, 79, 79, 80, 80, 81, 82, 82, 82, 83, 84, 84, 86, 86, 89, 89}

{9, 25, 48, 72, 73, 87, 88, 92, 97, 22, 27, 34, 65, 69, 78, 81, 95, 12, 24, 31, 39, 44, 49, 54, 66, 70, 95, 19, 29, 41, 44, 47, 76, 85, 9, 11, 16, 35, 40, 44, 12, 17, 41, 46, 54, 85, 11, 20, 24, 34, 46, 67, 72, 76, 78, 84, 89, 11, 12, 28, 34, 38, 49, 58, 66, 74, 94, 96, 20, 21, 31, 35, 37, 44, 71, 75, 80, 85, 90, 98, 34, 42, 54, 73, 90, 91, 65, 68, 95, 21, 23, 43, 47, 57, 79, 82, 31, 34, 62, 67, 23, 34, 52, 78, 84, 88, 90, 16, 22, 23, 25, 27, 37, 39, 40, 44, 66, 81, 82, 25, 62, 69, 38, 52, 58, 61, 75, 77, 85, 26, 39, 42, 49, 52, 59, 64, 69, 23, 30, 33, 57, 64, 71, 80, 92, 25, 35, 49, 74, 94, 27, 28, 35, 63, 73, 80, 95, 42, 50, 61, 68, 93, 94, 96, 30, 39, 46, 53, 56, 64, 69, 76, 82, 85, 86, 89, 90, 32, 43, 44, 45, 47, 56, 63, 64, 75, 82, 51, 61, 62, 75, 82, 85, 31, 46, 52, 59, 71, 89, 96, 56, 81, 90, 32, 49, 66, 74, 80, 88, 98, 38, 47, 49, 51, 53, 62, 85, 90, 96, 37, 53, 55, 57, 62, 63, 66, 68, 92, 32, 60, 70, 86, 87, 37, 45, 59, 69, 71, 78, 92, 95, 40, 51, 54, 55, 58, 60, 63, 67, 70, 83, 84, 61, 80, 88, 41, 56, 63, 41, 44, 49, 67, 78, 82, 85, 97, 47, 58, 62, 68, 71, 79, 86, 57, 79, 80, 55, 75, 84, 90, 92, 51, 86, 42, 46, 51, 67, 77, 83, 88, 94, 48, 74, 91, 95, 45, 46, 63, 69, 88, 97, 59, 62, 83, 84, 92, 96, 98, 46, 56, 73, 95, 48, 60, 64, 80, 48, 57, 59, 80, 98, 54, 58, 61, 64, 67, 68, 75, 81, 82, 90, 98, 51, 58, 72, 76, 88, 52, 57, 65, 74, 85, 98, 77, 81, 84, 95, 65, 76, 82, 54, 60, 72, 85, 68, 62, 77, 80, 98, 59, 89, 94, 72, 74, 80, 83, 92, 94, 82, 87, 89, 95, 65, 69, 91, 98, 70, 79, 92, 96, 69, 70, 81, 76, 89, 90, 67, 74, 81, 82, 66, 72, 74, 86, 94, 74, 76, 89, 74, 76, 86, 89, 93, 94, 95, 97, 98, 78, 90, 72, 87, 89, 87, 89, 91, 97, 92, 83, 88, 94, 96, 78, 84, 88, 97, 85, 83, 88, 90, 80, 86, 90, 94, 80, 82, 84, 88, 93, 86, 86, 89, 94, 94, 86, 88, 89, 94, 92, 93}

{11, 36, 70, 78, 79, 88, 92, 153, 154, 260, 273, 300, 313, 318, 371, 382, 395, 398, 424, 459, 480, 481, 568, 590, 606, 607, 609, 641, 688, 689, 728, 734, 741, 782, 786, 849, 936, 982, 1002, 1003, 1022, 1023, 1026, 1032, 1038, 1103, 1104, 1187, 1239, 1246, 1266, 1333, 1370, 1408, 1457, 1463, 1501, 1553, 1587, 1636, 1664, 1673, 1724, 1755, 1757, 1758, 1810, 1815, 1868, 1876, 2019, 2053, 2067, 2073, 2099, 2102, 2158, 2160, 2169, 2172, 2190, 2208, 2283, 2306, 2317, 2345, 2359, 2368, 2370, 2444, 2445, 2456, 2457, 2497, 2558, 2588, 2605, 2610, 2629, 2641, 2650, 2660, 2685, 2692, 2717, 2807, 2831, 2842, 2850, 2871, 2872, 2883, 2889, 2908, 2913, 2924, 2993, 3010, 3011, 3015, 3039, 3074, 3154, 3164, 3182, 3188, 3212, 3255, 3295, 3303, 3335, 3426, 3434, 3452, 3504, 3508, 3530, 3558, 3571, 3577, 3628, 3654, 3678, 3681, 3702, 3713, 3798, 3843, 3851, 3889, 3890, 3918, 3919, 3978, 3985, 3989, 4018, 4027, 4040, 4069, 4094, 4134, 4194, 4222, 4246, 4316, 4322, 4376, 4431, 4433, 4437, 4444, 4447, 4450, 4459, 4473, 4485, 4513, 4576, 4595, 4619, 4656, 4704, 4705, 4729, 4743, 4779, 4804, 4806, 4824, 4861, 4877, 4891, 4897, 4912, 4954, 4974, 4990, 4991, 4992, 5042, 5044, 5085, 5093, 5098, 5111, 5113, 5123, 5130, 5184, 5213, 5226, 5228, 5237, 5249, 5258, 5276, 5285, 5294, 5295, 5305, 5350, 5374, 5399, 5402, 5409, 5470, 5517, 5582, 5606, 5611, 5638, 5639, 5649, 5655, 5722, 5730, 5757, 5800, 5802, 5803, 5804, 5864, 5870, 5871, 5872, 5918, 5919, 5936, 5944, 5959, 5975, 5977, 5991, 6036, 6104, 6149, 6153, 6175, 6194, 6216, 6227, 6231, 6253, 6267, 6281, 6308, 6332, 6379, 6423, 6460, 6485, 6525, 6560, 6574, 6600, 6613, 6617, 6685, 6696, 6715, 6719, 6726, 6735, 6743, 6759, 6760, 6761, 6763, 6777, 6781, 6825, 6831, 6843, 6854, 6898, 6921, 6922, 6954, 6956, 6990, 7049, 7052, 7053, 7089, 7096, 7123, 7128, 7133, 7143, 7151, 7208, 7223, 7263, 7269, 7271, 7278, 7352, 7400, 7437, 7440, 7445, 7457, 7498, 7500, 7517, 7536, 7549, 7552, 7588, 7589, 7600, 7617, 7619, 7650, 7719, 7745, 7760, 7896, 7898, 7899, 7906, 7916, 7953, 7958, 7988, 8024, 8036, 8070, 8106, 8115, 8128, 8167, 8180, 8189, 8204, 8249, 8255, 8269, 8286, 8290, 8291, 8332, 8352, 8372, 8383, 8398, 8406, 8431, 8447, 8457, 8467, 8474, 8477, 8494, 8502, 8512, 8522, 8551, 8581, 8645, 8653, 8659, 8673, 8674, 8677, 8699, 8708, 8737, 8751, 8800, 8807, 8819, 8826, 8828, 8870, 8938, 8970, 8980, 8992, 8993, 9002, 9085, 9102, 9112, 9158, 9223, 9266, 9267, 9284, 9299, 9303, 9311, 9334, 9336, 9415, 9419, 9449, 9454, 9482, 9512, 9515, 9516, 9527, 9579, 9597, 9610, 9618, 9623, 9628, 9654, 9714, 9758, 9811, 9824, 9853, 9891, 9893, 9921, 9942, 9946, 9957, 9972, 9973, 9978, 10010, 10026, 10034, 10043}

Returns: 217965605
98

632

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Returns: 151669575
98

869

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Returns: 998532683
129

128

{1, 1, 2, 3, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17, 18, 19, 20, 20, 20, 21, 22, 24, 24, 25, 26, 28, 29, 30, 30, 30, 31, 31, 31, 32, 32, 32, 33, 33, 33, 34, 35, 35, 35, 37, 38, 38, 38, 39, 39, 40, 41, 41, 42, 43, 44, 45, 45, 46, 47, 47, 47, 48, 49, 50, 51, 51, 52, 52, 54, 57, 59, 62, 63, 64, 66, 66, 67, 69, 70, 71, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 83, 84, 84, 84, 85, 86, 87, 89, 90, 91, 93, 94, 96, 98, 99, 100, 101, 102, 103, 108}

{28, 48, 41, 46, 31, 27, 86, 119, 42, 58, 63, 82, 40, 115, 72, 54, 85, 80, 106, 28, 23, 26, 24, 78, 39, 60, 117, 61, 98, 106, 53, 59, 34, 88, 107, 49, 86, 62, 110, 36, 51, 128, 77, 43, 112, 127, 36, 43, 105, 59, 87, 88, 53, 75, 125, 65, 37, 56, 124, 97, 46, 53, 119, 45, 129, 91, 64, 120, 119, 120, 74, 68, 99, 122, 55, 77, 127, 94, 68, 99, 76, 117, 121, 123, 114, 60, 117, 118, 79, 90, 92, 101, 69, 100, 117, 90, 128, 97, 115, 83, 114, 111, 125, 109, 102, 113, 124, 110, 116, 95, 96, 117, 103, 115, 89, 121, 100, 101, 104, 121, 129, 120, 126, 113, 115, 109, 104, 126}

{2, 3, 11, 34, 51, 55, 64, 67, 97, 110, 112, 144, 158, 185, 194, 208, 216, 236, 246, 273, 274, 280, 301, 309, 408, 440, 444, 454, 464, 513, 539, 558, 567, 584, 608, 613, 621, 624, 649, 666, 673, 689, 701, 717, 721, 723, 731, 745, 748, 750, 784, 786, 807, 812, 845, 852, 903, 915, 926, 927, 939, 948, 949, 979, 1006, 1013, 1028, 1097, 1160, 1165, 1185, 1188, 1200, 1222, 1234, 1258, 1259, 1262, 1315, 1331, 1338, 1356, 1378, 1389, 1416, 1422, 1426, 1438, 1466, 1474, 1479, 1482, 1493, 1503, 1513, 1524, 1532, 1547, 1552, 1557, 1586, 1588, 1599, 1600, 1608, 1610, 1615, 1619, 1676, 1705, 1713, 1716, 1758, 1767, 1774, 1780, 1795, 1810, 1813, 1843, 1861, 1884, 1910, 1928, 1943, 2014, 2023, 2027}

Returns: 4
129

188

{1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 14, 15, 15, 15, 15, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 24, 24, 24, 26, 26, 26, 26, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34, 34, 35, 36, 36, 36, 37, 38, 40, 40, 40, 41, 42, 43, 43, 44, 45, 45, 46, 46, 47, 47, 49, 50, 50, 50, 51, 51, 51, 52, 52, 53, 54, 55, 55, 55, 57, 57, 58, 59, 59, 59, 59, 60, 61, 62, 62, 63, 63, 63, 64, 65, 66, 67, 67, 70, 70, 70, 71, 71, 71, 72, 73, 74, 74, 76, 76, 77, 78, 79, 80, 81, 82, 83, 83, 83, 83, 84, 86, 89, 89, 91, 92, 92, 93, 94, 95, 98, 98, 99, 100, 101, 103, 104, 105, 105, 107, 108, 115, 123, 125}

{63, 85, 12, 116, 119, 42, 67, 84, 38, 56, 120, 56, 74, 102, 104, 16, 49, 112, 41, 45, 49, 65, 17, 71, 87, 93, 119, 128, 14, 122, 124, 12, 68, 34, 87, 93, 51, 66, 95, 37, 28, 53, 80, 89, 115, 33, 118, 29, 97, 67, 90, 74, 84, 116, 117, 100, 124, 125, 25, 48, 91, 104, 117, 70, 39, 75, 89, 61, 82, 91, 93, 114, 128, 81, 121, 86, 99, 113, 44, 63, 33, 72, 59, 72, 73, 89, 116, 49, 67, 128, 68, 106, 107, 110, 39, 44, 48, 54, 52, 101, 63, 98, 88, 116, 125, 59, 68, 55, 63, 98, 100, 104, 109, 66, 92, 96, 103, 106, 69, 97, 79, 86, 93, 65, 95, 64, 62, 100, 108, 129, 129, 97, 89, 108, 92, 103, 126, 93, 83, 127, 68, 98, 95, 98, 125, 75, 109, 112, 123, 80, 92, 127, 77, 118, 87, 79, 85, 127, 117, 84, 86, 92, 119, 128, 110, 100, 96, 107, 118, 98, 108, 122, 111, 109, 100, 129, 108, 102, 122, 123, 122, 111, 124, 122, 111, 121, 126, 127}

{50, 380, 381, 573, 1620, 1650, 1808, 2458, 2645, 2821, 3281, 3749, 3812, 3935, 3943, 5495, 6125, 6929, 7290, 7342, 7798, 8212, 8350, 8527, 8609, 9552, 10211, 10465, 10675, 11045, 11570, 11802, 11987, 12635, 12777, 12849, 12999, 13018, 13546, 13570, 13708, 13762, 14534, 14816, 15247, 15515, 15719, 15782, 15937, 16029, 16220, 16315, 16349, 16542, 16622, 16657, 16931, 17498, 17720, 17832, 18503, 18592, 18712, 18816, 18847, 19376, 19379, 19425, 19864, 20075, 21202, 21594, 21626, 21872, 21980, 22367, 22666, 22759, 23216, 23242, 23325, 23514, 24245, 24528, 24549, 25080, 25093, 25434, 25839, 26107, 27622, 27809, 27961, 28004, 29199, 29917, 30102, 30382, 30555, 30999, 31115, 31290, 31434, 31507, 31970, 32062, 32101, 32402, 32967, 33133, 34159, 34542, 34562, 34616, 34666, 34808, 34858, 35028, 35180, 35464, 36436, 37029, 37198, 37227, 37375, 37699, 37791, 37810, 38273, 38826, 38869, 39503, 39534, 39761, 39929, 40207, 40884, 40921, 41027, 41050, 41151, 41322, 41873, 41929, 42553, 43468, 43959, 44241, 44753, 44855, 45466, 45532, 45608, 45639, 45733, 45853, 45930, 45956, 45962, 46104, 46151, 46442, 46713, 47614, 47703, 47717, 47731, 47864, 48000, 48130, 48432, 48871, 48886, 49398, 49415, 49798, 49994, 50010, 50040, 50359, 50883, 51120, 51443, 51723, 51824, 51973, 52360, 52861}

Returns: 866981006
129

266

{1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 27, 27, 27, 27, 28, 28, 29, 30, 31, 31, 31, 32, 32, 32, 32, 33, 34, 35, 35, 35, 36, 36, 37, 37, 37, 37, 37, 38, 38, 39, 39, 39, 39, 39, 40, 40, 40, 41, 42, 42, 42, 42, 42, 42, 43, 43, 45, 45, 45, 45, 45, 45, 46, 47, 47, 48, 48, 48, 48, 48, 49, 49, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 52, 52, 52, 52, 53, 53, 53, 53, 53, 54, 54, 55, 55, 56, 57, 57, 58, 59, 59, 59, 60, 60, 61, 61, 61, 61, 63, 63, 63, 63, 64, 65, 66, 66, 66, 68, 68, 68, 69, 69, 71, 72, 73, 73, 73, 76, 76, 77, 77, 78, 78, 79, 79, 80, 80, 81, 82, 83, 84, 86, 86, 86, 86, 87, 87, 87, 88, 88, 88, 89, 91, 92, 92, 95, 95, 95, 97, 99, 100, 100, 100, 101, 101, 103, 104, 106, 107, 107, 108, 108, 110, 110, 111, 115, 116, 121, 125}

{16, 25, 30, 43, 100, 89, 92, 17, 32, 11, 16, 22, 42, 46, 62, 99, 106, 6, 53, 106, 115, 37, 53, 104, 45, 110, 12, 66, 122, 125, 15, 25, 33, 72, 76, 83, 97, 102, 121, 18, 80, 121, 127, 39, 56, 77, 100, 49, 85, 95, 17, 37, 82, 93, 101, 18, 37, 127, 53, 124, 52, 114, 74, 104, 116, 120, 125, 126, 23, 57, 79, 109, 31, 34, 112, 26, 91, 118, 124, 44, 66, 118, 120, 62, 64, 87, 110, 128, 42, 47, 89, 44, 53, 75, 100, 31, 86, 28, 46, 49, 104, 79, 86, 89, 110, 62, 97, 105, 91, 96, 103, 109, 124, 118, 36, 55, 94, 56, 109, 43, 92, 114, 125, 129, 43, 59, 64, 91, 93, 105, 120, 77, 80, 88, 83, 48, 70, 98, 122, 124, 125, 64, 124, 52, 63, 93, 96, 102, 123, 72, 90, 104, 58, 81, 91, 95, 102, 62, 83, 67, 76, 87, 113, 123, 52, 78, 90, 97, 115, 78, 92, 121, 123, 72, 82, 96, 98, 107, 70, 97, 109, 118, 78, 85, 87, 126, 63, 66, 108, 86, 88, 65, 90, 98, 118, 89, 99, 103, 125, 98, 79, 104, 106, 107, 86, 106, 121, 119, 121, 114, 75, 114, 121, 123, 107, 117, 81, 90, 91, 105, 84, 118, 81, 82, 93, 113, 87, 106, 107, 117, 122, 125, 110, 115, 118, 116, 123, 124, 91, 123, 117, 125, 98, 116, 118, 116, 119, 105, 124, 128, 126, 129, 121, 115, 114, 117, 119, 118, 121, 128, 129, 118, 121, 125, 123, 126}

{104, 153, 164, 171, 241, 253, 295, 328, 335, 336, 385, 390, 422, 427, 444, 569, 633, 648, 757, 779, 801, 820, 831, 833, 857, 929, 949, 997, 1007, 1111, 1120, 1192, 1225, 1360, 1366, 1370, 1385, 1477, 1589, 1608, 1616, 1627, 1633, 1648, 1658, 1773, 1862, 1970, 1991, 2018, 2029, 2084, 2201, 2293, 2305, 2368, 2369, 2394, 2487, 2494, 2576, 2604, 2662, 2735, 2798, 2852, 2869, 2883, 2938, 2966, 3019, 3033, 3039, 3046, 3140, 3161, 3190, 3250, 3334, 3344, 3390, 3396, 3433, 3469, 3496, 3552, 3555, 3599, 3606, 3618, 3662, 3792, 3803, 3840, 3892, 3968, 3981, 4088, 4132, 4315, 4347, 4367, 4385, 4422, 4443, 4657, 4683, 4691, 4735, 4740, 4843, 4854, 4870, 4883, 4888, 4938, 5035, 5066, 5086, 5113, 5129, 5143, 5161, 5176, 5177, 5295, 5326, 5399, 5437, 5525, 5576, 5579, 5593, 5594, 5660, 5762, 5764, 5776, 5797, 5843, 5888, 6023, 6046, 6088, 6093, 6191, 6199, 6219, 6259, 6276, 6285, 6288, 6301, 6347, 6391, 6398, 6423, 6493, 6533, 6544, 6619, 6630, 6647, 6658, 6679, 6728, 6773, 6793, 6812, 6909, 6955, 6976, 6979, 6986, 7023, 7060, 7128, 7172, 7235, 7244, 7253, 7260, 7265, 7271, 7343, 7369, 7495, 7498, 7677, 7695, 7721, 7779, 7802, 7803, 7808, 7854, 7856, 7868, 7890, 7934, 7947, 7965, 7970, 8026, 8161, 8188, 8202, 8213, 8235, 8242, 8320, 8363, 8488, 8577, 8588, 8612, 8640, 8709, 8733, 8887, 8901, 9005, 9094, 9122, 9140, 9147, 9180, 9373, 9588, 9613, 9615, 9720, 9757, 9877, 9923, 9929, 9944, 9955, 9997, 10034, 10073, 10118, 10273, 10394, 10396, 10407, 10489, 10502, 10526, 10602, 10649, 10661, 10725, 10734, 10881, 10965, 11048, 11050, 11216, 11231, 11266, 11388, 11424, 11454, 11472, 11488}

Returns: 140665118
129

335

{1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 38, 38, 38, 38, 39, 40, 41, 41, 41, 41, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 47, 47, 47, 47, 48, 48, 48, 48, 48, 48, 48, 49, 49, 50, 50, 50, 51, 51, 51, 52, 52, 52, 53, 53, 53, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 58, 58, 58, 59, 60, 60, 61, 61, 62, 62, 62, 63, 64, 64, 64, 65, 66, 66, 66, 67, 67, 67, 67, 68, 68, 68, 68, 68, 69, 70, 70, 70, 73, 74, 74, 75, 75, 75, 76, 77, 77, 77, 78, 78, 78, 79, 79, 80, 80, 80, 81, 82, 82, 83, 85, 85, 85, 86, 86, 87, 87, 88, 88, 88, 88, 89, 89, 89, 89, 90, 91, 91, 92, 92, 93, 94, 94, 95, 95, 95, 97, 97, 98, 98, 98, 99, 99, 100, 102, 103, 106, 106, 108, 111, 112, 114, 115, 116, 118, 118, 121, 122}

{15, 57, 65, 75, 83, 102, 7, 76, 105, 124, 10, 15, 57, 66, 79, 83, 126, 48, 66, 102, 109, 126, 20, 26, 118, 39, 61, 96, 106, 125, 13, 30, 63, 76, 108, 121, 129, 93, 117, 123, 13, 14, 17, 39, 69, 76, 102, 117, 39, 67, 13, 55, 66, 91, 107, 120, 59, 83, 33, 40, 48, 68, 76, 82, 96, 99, 102, 41, 47, 50, 53, 108, 36, 67, 20, 113, 117, 120, 121, 123, 126, 28, 37, 64, 72, 128, 58, 60, 92, 113, 43, 50, 69, 80, 87, 113, 126, 54, 75, 111, 129, 33, 59, 73, 97, 112, 79, 98, 113, 43, 55, 66, 79, 102, 118, 37, 88, 94, 99, 101, 57, 75, 90, 59, 67, 81, 45, 67, 88, 48, 91, 126, 32, 69, 87, 105, 118, 63, 80, 122, 73, 81, 111, 54, 64, 87, 127, 69, 80, 85, 117, 121, 74, 94, 104, 129, 52, 53, 60, 62, 70, 105, 118, 120, 78, 123, 50, 77, 84, 106, 74, 122, 96, 114, 127, 129, 77, 83, 58, 63, 73, 75, 97, 99, 109, 119, 71, 72, 87, 55, 67, 103, 108, 123, 67, 86, 91, 53, 82, 102, 122, 56, 76, 103, 115, 124, 125, 126, 82, 105, 71, 85, 126, 89, 103, 126, 59, 116, 129, 60, 68, 119, 72, 118, 59, 71, 95, 102, 63, 116, 124, 68, 109, 59, 67, 70, 96, 97, 121, 72, 85, 94, 104, 119, 69, 70, 99, 120, 114, 97, 102, 116, 90, 100, 103, 117, 90, 102, 105, 128, 129, 71, 76, 81, 126, 84, 77, 97, 79, 82, 102, 112, 81, 121, 128, 80, 101, 127, 114, 129, 82, 109, 110, 91, 116, 126, 112, 87, 103, 124, 110, 122, 122, 127, 98, 117, 125, 126, 92, 113, 117, 128, 91, 95, 121, 110, 116, 101, 99, 122, 102, 118, 121, 110, 124, 103, 112, 129, 104, 126, 101, 115, 109, 107, 124, 110, 122, 126, 121, 128, 126, 120, 124, 123, 124}

{119, 392, 453, 485, 512, 592, 794, 910, 1066, 1191, 1961, 2505, 2807, 3330, 3437, 3576, 3618, 3732, 3816, 4019, 4084, 4432, 4560, 4801, 4828, 4933, 5127, 5256, 5275, 5321, 5478, 5522, 5611, 5680, 5795, 5949, 5990, 6060, 6118, 6140, 6339, 6705, 6811, 7082, 7111, 7137, 7249, 7272, 7501, 7585, 7756, 7803, 7830, 8065, 8167, 8480, 8596, 8706, 8736, 8763, 9108, 9128, 9329, 9399, 9536, 9647, 10008, 10165, 10240, 10268, 10558, 10681, 10738, 10768, 11065, 11333, 11356, 11496, 11501, 11520, 11525, 12036, 12286, 12648, 12807, 13690, 14262, 14327, 14367, 14448, 14927, 15209, 15274, 15531, 15629, 15676, 15741, 15785, 15864, 16362, 16901, 17021, 17145, 17179, 17296, 17412, 17584, 17684, 17715, 17895, 18045, 18147, 18250, 18275, 18320, 18540, 19080, 19105, 19185, 19327, 19372, 19657, 19671, 19939, 20364, 20371, 20445, 20822, 21075, 21442, 21612, 21943, 21959, 22087, 22301, 22342, 22595, 22617, 23297, 23982, 24034, 24480, 24574, 25008, 25098, 25131, 25193, 25264, 25268, 25278, 25994, 26103, 26538, 27150, 27648, 27741, 27903, 28013, 28137, 28273, 28372, 28437, 29588, 29628, 29871, 30015, 30094, 30221, 30433, 30826, 30946, 30967, 31297, 31694, 31988, 32340, 32522, 32531, 32948, 33233, 33785, 33914, 33934, 34691, 35165, 35233, 35326, 35613, 35743, 35862, 35888, 36076, 36191, 36308, 36380, 36569, 36635, 36720, 36741, 36769, 36913, 37239, 37324, 37442, 37511, 37516, 37549, 37797, 37825, 38182, 38264, 38289, 38323, 38461, 39008, 39073, 39095, 39692, 39743, 39836, 39905, 39992, 40373, 40394, 40462, 40488, 40491, 40514, 40811, 40981, 41187, 41806, 41914, 42077, 42233, 42550, 42628, 43057, 43112, 43338, 43567, 43813, 44393, 44504, 44609, 44782, 44813, 45129, 45150, 45334, 45337, 45393, 45511, 45580, 45805, 46028, 46107, 46150, 46196, 46202, 46205, 46441, 46776, 47083, 47164, 47653, 47684, 47798, 47873, 48015, 48482, 48634, 48712, 48739, 48853, 49064, 49462, 49516, 49549, 49926, 49960, 50115, 50195, 50376, 50659, 50758, 50888, 51233, 51610, 51667, 52021, 52097, 52366, 52647, 52774, 52817, 53062, 53175, 53563, 53732, 53741, 53772, 53795, 54269, 54740, 54842, 54933, 54964, 54974, 54985, 55280, 55412, 55420, 55461, 55533, 55946, 56000, 56112, 56797, 56954, 57279, 57296, 57398, 57474, 57618, 57764, 57812, 57889, 58022, 58211, 58580, 58659, 58669, 58739, 58934}

Returns: 756312038
129

379

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Returns: 855248005
129

543

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Returns: 978342004
129

669

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Returns: 250564973
202

201

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Returns: 134099126
202

272

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Returns: 539885519
202

346

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Returns: 2097152
202

489

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Returns: 913599333
202

688

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Returns: 270740029
271

270

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Returns: 92960636
271

369

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Returns: 752582926
271

453

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Returns: 453533755
271

701

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Returns: 347682302
271

873

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Returns: 8388672
45

990

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Returns: 537008496

Statistics

Problem Statement for "TheSocialNetwork"

Problem Statement

Definition

Notes

Constraints

Examples