TopCoder Statistics - Problem Statement

Problem Statement

You are given a directed acyclic graph with n nodes and m edges. The edges are given in the int[]s f, t denoting a directed edge from node f[i] to node t[i]. The nodes are given in topological order (so f[i] < t[i] for all i). Node 0 is guaranteed to be the only node with no incoming edges. Node n-1 is guaranteed to be the only node with no outgoing edges.

You want to label nodes with rational numbers such that the following holds.

Let x_v be the value of the v-th node. The node 0 must have value x_0 = 0 and the node n-1 must have value x_{n-1} = 1. All other nodes must satisfy 0 ≤ x_v ≤ 1.

For all non-source and non-sink nodes, x_v must be the average of the smallest value of a node that it can reach and the largest value of a node that can reach it. More formally, let S(v) be the set of nodes reachable from v (not including v), and let T(v) be the set of nodes that can reach v (not including v). Then, x_v must be equal to ((min_(y in S(v)) x_y) + max_(z in T(v)) x_z)) / 2 for all nodes v from 1 to n-2.

Return this as a long[] of nonnegative integers with the following format { p_0,q_0, p_1,q_1, ..., p_{n-1},q_{n-1} }. Here, this represents setting x_i = p_i/q_i (p_i and q_i do not need to be coprime). If there are multiple possible answers, output any of them. If there are no answers, return an empty long[]. It is guaranteed under the current constraints that if there is an answer, then there is one where all results fit in a signed 64-bit integer.

Definition

Class:: FillInTheDAG
Method:: findWay
Parameters:: int, int[], int[]
Returns:: long[]
Method signature:: long[] findWay(int n, int[] f, int[] t)
(be sure your method is public)

Constraints

n will be between 3 and 100.
m will be between 2 and 1,000.
f,t will contain exactly m elements each.
0 <= f[i] < t[i] < n for all valid i.
Node 0 will be the only node with indegree zero.
Node n-1 will be the only node with outdegree zero.

Examples

3

{0,1}

{1,2}

Returns: {0, 1, 1, 2, 1, 1 }

In this case, the only solution is to assign x_0 = 0, x_1 = 1/2, and x_2 = 1.
6

{0,1,2,4,0,3}

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

Returns: {0, 1, 1, 4, 1, 2, 3, 8, 3, 4, 1, 1 }

This solution corresponds to setting x_0 = 0, x_1 = 1/4, x_2 = 1/2, x_3 = 3/8, x_4 = 3/4 and x_5 = 1.
4

{0,0,0,1,1,2}

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

Returns: {0, 1, 1, 3, 2, 3, 1, 1 }
92

{0, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 0, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 0, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 0, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 0, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 0, 13, 14, 15, 16, 17, 18, 19, 20, 0, 7, 8, 9, 10, 11, 12, 0, 3, 4, 5, 6, 0, 1, 2, 16, 71, 27, 6, 9, 6, 29, 51, 35, 4, 0, 16, 38, 22, 36, 39, 11, 20, 43, 9, 12, 46, 65, 51, 54, 5, 59, 16, 52, 59, 7, 44, 31, 61, 37, 10, 44, 20, 72, 3, 28, 12, 4, 21, 8, 20, 1, 8, 5, 32, 10, 0, 27, 22, 39, 6, 38, 56, 32, 64, 1, 24, 24, 64, 26, 67, 5, 5, 42, 30, 57, 18, 43, 24, 45, 16, 61, 30, 29, 8, 11, 42, 47, 29, 44, 35, 33, 20, 9, 11, 1, 38, 78, 65, 31, 20, 56, 27, 63, 20, 6, 10, 35, 39, 22, 51, 86, 9, 5, 19, 16, 46, 42, 34, 28, 0, 14, 19, 28, 44, 4, 26, 13, 26, 47, 32, 9, 2, 29, 4, 4, 31, 10, 19, 57, 40, 28, 2, 56, 67, 7, 7, 27, 45, 19, 49, 26, 20, 6, 12, 22, 50, 18, 59, 35, 4, 38, 33, 3, 60, 47, 49, 6, 34, 49, 17, 5, 29, 17, 8, 21, 6, 4, 75, 31, 0, 16, 37, 19, 38, 0, 37, 24, 5, 50, 5, 41, 37, 32, 59, 47, 13, 13, 22, 3, 76, 3, 15, 1, 2, 13, 2, 35, 6, 0, 26, 11, 19, 54, 34, 12, 36, 59, 11, 1, 34, 15, 23, 1, 29, 53, 19, 0, 51, 52, 38, 31, 39, 9, 22, 8, 81, 30, 28, 48, 34, 48, 63, 39, 39, 5, 38, 31, 72, 7, 51, 42, 18, 48, 16, 1, 48, 39, 4, 13, 65, 15, 7, 25, 39, 30, 25, 51, 41, 48, 7, 66, 0, 57, 13, 24, 34, 2, 75, 4, 26, 26, 20, 35, 61, 50, 14, 0, 10, 49, 15, 6, 41, 27, 8, 0, 29, 52, 35, 0, 33, 47, 47, 0, 10, 28, 24, 5, 40, 36, 32, 14, 46, 23, 10, 61, 3, 30, 49, 36, 28, 40, 33, 53, 11, 45, 43, 12, 3, 3, 63, 22, 6, 42, 25, 3, 26, 68, 37, 46, 29, 13, 23, 39, 8, 11, 8, 25, 25, 40, 31, 65, 13, 18, 35, 72, 71, 20, 10, 32, 62, 8, 57, 10, 86, 61, 47, 72, 50, 40, 20, 56, 31, 25, 28, 2, 31, 22, 9, 8, 66, 72, 31, 22, 14, 24, 49, 33, 21, 36, 5, 68, 1, 36, 26, 73, 8, 24, 14, 22, 59, 66, 38, 35, 64, 30, 16, 45, 24, 3, 24, 30, 45, 8, 75, 42, 38, 3, 32, 33, 76, 82, 1, 7, 11, 10, 26, 90, 60, 50, 6, 49, 16, 13, 59, 23, 34, 31, 33, 1, 24, 9, 40, 28, 27, 52, 43, 31, 3, 6, 1, 6, 58, 9, 62, 40, 50, 51, 77, 21, 72, 75, 63, 10, 39, 26, 7, 0, 32, 3, 41, 26, 27, 26, 55, 6, 62, 9, 9, 18, 38, 52, 11, 25, 40, 34, 20, 58, 85, 41, 18, 42, 66, 45, 31, 17, 15, 38, 70, 22, 52, 18, 11, 18, 20, 49, 1, 10, 7, 68, 31, 30, 51, 19, 31, 23, 12, 51, 11, 55, 20, 41, 10, 38, 27, 54, 31, 58, 33, 17, 25, 11, 23, 55, 38, 15, 12, 31, 35, 67, 23, 36, 14, 10, 16, 5, 4, 26, 71, 56, 8, 20, 36, 26, 39, 66, 12, 26, 31, 32, 5, 68, 51, 19, 8, 19, 48, 6, 14, 2, 28, 72, 19, 29, 52, 10, 7, 30, 7, 41, 10, 5, 62, 50, 2, 36, 67, 13, 3, 52, 0, 41, 39, 35, 66, 22, 40, 53, 43, 38, 70, 2, 16, 2, 15, 12, 11, 17, 5, 18, 14, 11, 17, 61, 24, 50, 2, 11, 52, 11, 7, 21, 2, 15, 22, 25, 40, 3, 56, 27, 39, 19, 9, 29, 10, 29, 54, 56, 68, 0, 0, 14, 27, 63, 82, 8, 32, 59, 17, 8, 30, 29, 62, 30, 2, 15, 4, 16, 40, 10, 12, 8, 70, 49, 23, 83, 21, 21, 31, 45, 3, 56, 24, 13, 20, 60, 22, 8, 16, 24, 14, 3, 39, 9, 13, 16, 25, 35, 26, 17, 42, 22, 38, 19, 7, 9, 2, 1, 38, 24, 86, 32, 33, 62, 35, 17, 35, 59, 6, 5, 67, 8, 47, 2, 62, 60, 17, 2, 2, 50, 1, 46, 75, 67, 12, 6, 34, 6, 61, 12, 57, 40, 54, 40, 79, 26, 7, 59, 11, 26, 5, 58, 23, 33, 18, 46, 9, 13, 44, 23, 25, 10, 64, 23, 11, 39, 60, 7, 34, 2, 31, 30, 72, 67, 31, 64, 2, 13, 27, 32, 49, 28, 59, 47, 6, 58, 29, 24, 28, 45, 21, 17, 60, 59, 21, 55, 4, 50, 14, 25, 17, 22, 13, 25, 15, 79, 36, 54, 35, 32, 68, 50, 24, 7, 11, 0, 15, 31, 58, 82, 54, 57, 3, 64, 84, 5, 17, 57, 11, 5, 22, 29, 34, 27, 64, 44, 4, 65, 60, 23, 15, 23, 31, 34, 1, 35, 77, 64, 23, 4, 72, 27, 19, 33, 87, 27, 29, 22, 11, 50, 17, 46, 33, 42, 0, 31, 53, 39, 37, 8, 3, 31, 16, 64, 42, 26, 33, 40, 4, 23, 38, 10, 37, 27, 27, 10, 17, 47, 0, 41, 9, 22, 18, 1, 5, 6, 18, 3, 46, 63, 50, 42, 79, 1, 38, 13, 52, 7, 33, 23, 46, 18, 49, 32, 2, 19}

{73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 90, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 72, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 56, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 42, 13, 14, 15, 16, 17, 18, 19, 20, 30, 7, 8, 9, 10, 11, 12, 20, 3, 4, 5, 6, 12, 1, 2, 6, 89, 85, 86, 85, 48, 60, 58, 81, 65, 17, 7, 60, 41, 73, 90, 68, 61, 48, 45, 57, 18, 76, 73, 91, 63, 71, 64, 56, 87, 84, 58, 56, 87, 67, 75, 30, 77, 43, 81, 58, 72, 91, 18, 55, 71, 24, 38, 63, 47, 66, 54, 6, 70, 89, 54, 58, 83, 77, 85, 85, 48, 52, 78, 85, 56, 91, 64, 34, 72, 64, 71, 47, 46, 43, 63, 82, 90, 49, 37, 90, 53, 55, 89, 54, 86, 73, 77, 49, 88, 59, 16, 66, 81, 82, 63, 34, 71, 68, 75, 44, 13, 25, 66, 60, 57, 60, 91, 22, 12, 49, 42, 63, 58, 57, 55, 32, 72, 88, 91, 49, 72, 48, 71, 27, 55, 72, 38, 46, 31, 25, 83, 59, 77, 47, 59, 65, 50, 22, 57, 80, 79, 65, 61, 79, 91, 79, 87, 70, 9, 77, 70, 56, 77, 89, 64, 83, 69, 85, 12, 87, 63, 75, 17, 62, 74, 23, 70, 76, 86, 90, 30, 14, 85, 91, 68, 87, 81, 60, 31, 50, 70, 83, 27, 23, 60, 26, 58, 63, 62, 88, 53, 56, 90, 49, 31, 79, 32, 17, 28, 26, 83, 40, 79, 63, 2, 56, 72, 39, 68, 74, 59, 62, 83, 73, 70, 61, 76, 87, 17, 38, 85, 20, 7, 91, 59, 60, 80, 44, 12, 54, 76, 91, 74, 51, 90, 85, 87, 64, 55, 80, 38, 87, 36, 86, 47, 90, 69, 32, 71, 43, 55, 87, 67, 77, 36, 75, 79, 59, 26, 40, 90, 52, 84, 71, 61, 36, 75, 34, 85, 75, 45, 81, 55, 78, 17, 78, 84, 80, 63, 83, 73, 18, 45, 85, 74, 78, 55, 51, 53, 10, 21, 64, 77, 54, 58, 43, 76, 65, 48, 82, 91, 46, 9, 69, 40, 37, 87, 70, 76, 49, 67, 55, 34, 72, 62, 73, 77, 38, 79, 17, 48, 50, 88, 9, 55, 77, 57, 29, 59, 62, 65, 55, 80, 89, 60, 90, 83, 55, 78, 80, 20, 38, 74, 60, 81, 54, 91, 37, 83, 70, 87, 88, 37, 75, 75, 65, 45, 90, 33, 88, 71, 77, 75, 70, 89, 65, 86, 87, 80, 52, 76, 61, 27, 19, 76, 70, 85, 59, 61, 23, 66, 61, 90, 45, 39, 69, 81, 41, 86, 78, 85, 58, 54, 87, 48, 65, 79, 68, 72, 73, 70, 29, 60, 82, 69, 69, 35, 66, 72, 91, 87, 52, 7, 69, 62, 86, 88, 76, 80, 32, 41, 59, 91, 82, 76, 79, 51, 58, 91, 74, 49, 52, 52, 69, 67, 90, 66, 60, 86, 60, 78, 74, 89, 81, 67, 21, 55, 91, 89, 74, 41, 55, 88, 84, 31, 75, 83, 86, 65, 86, 86, 83, 28, 89, 66, 60, 29, 82, 65, 74, 40, 75, 51, 73, 72, 70, 86, 13, 85, 78, 58, 43, 85, 90, 70, 25, 48, 82, 76, 76, 36, 43, 70, 79, 49, 58, 79, 50, 79, 82, 82, 43, 40, 64, 78, 48, 86, 62, 74, 72, 50, 88, 80, 57, 88, 59, 87, 75, 50, 56, 65, 36, 74, 72, 42, 83, 31, 64, 80, 55, 72, 18, 63, 90, 88, 50, 63, 86, 40, 78, 27, 12, 51, 86, 77, 41, 72, 40, 31, 70, 67, 29, 36, 41, 59, 42, 76, 69, 64, 71, 78, 82, 53, 34, 46, 48, 73, 50, 42, 75, 48, 90, 51, 12, 53, 23, 44, 74, 88, 47, 85, 71, 56, 81, 69, 15, 90, 91, 88, 89, 68, 73, 58, 74, 61, 83, 49, 22, 17, 85, 16, 21, 78, 41, 26, 33, 30, 43, 85, 41, 75, 49, 70, 79, 37, 65, 78, 3, 37, 47, 44, 56, 87, 71, 52, 64, 63, 15, 42, 27, 55, 89, 57, 74, 87, 15, 27, 62, 82, 90, 85, 55, 81, 26, 57, 44, 53, 65, 44, 13, 69, 49, 89, 66, 49, 58, 29, 88, 81, 85, 85, 70, 34, 89, 65, 49, 59, 36, 48, 82, 72, 62, 63, 56, 44, 62, 21, 45, 37, 69, 23, 40, 37, 89, 26, 51, 90, 50, 61, 13, 62, 83, 49, 83, 37, 87, 56, 63, 90, 91, 42, 67, 87, 25, 38, 78, 40, 70, 8, 76, 81, 31, 91, 46, 68, 47, 71, 89, 80, 63, 81, 56, 77, 86, 60, 79, 65, 69, 88, 81, 41, 51, 79, 76, 85, 42, 67, 34, 87, 42, 52, 64, 66, 90, 53, 71, 34, 72, 58, 82, 79, 74, 86, 51, 65, 58, 40, 79, 88, 90, 91, 56, 74, 32, 81, 78, 77, 89, 90, 8, 74, 57, 85, 33, 48, 71, 21, 78, 60, 50, 64, 42, 87, 22, 91, 21, 77, 37, 58, 87, 81, 59, 62, 45, 42, 82, 87, 79, 85, 53, 65, 19, 86, 73, 85, 91, 60, 54, 85, 87, 64, 29, 76, 37, 17, 24, 36, 84, 50, 86, 48, 25, 75, 71, 62, 77, 52, 57, 49, 68, 75, 86, 91, 35, 20, 85, 41, 51, 41, 91, 42, 59, 62, 28, 54, 56, 76, 74, 72, 11, 59, 78, 79, 53, 89, 13, 49, 68, 85, 50, 61, 50, 54, 77, 79, 90, 75, 40, 74, 81, 45, 71, 86, 46, 53, 76, 77, 40, 51, 26, 67, 80, 58, 47, 68, 53, 80, 81, 76, 49, 85, 78, 8, 83, 41, 56, 38, 73, 62, 20, 38}

Returns: {0, 1, 1, 81, 2, 81, 1, 27, 4, 81, 5, 81, 2, 27, 5, 81, 7, 81, 8, 81, 1, 9, 10, 81, 4, 27, 11, 81, 4, 27, 13, 81, 14, 81, 5, 27, 16, 81, 17, 81, 2, 9, 16, 81, 17, 81, 2, 9, 19, 81, 20, 81, 7, 27, 22, 81, 23, 81, 8, 27, 26, 81, 25, 81, 26, 81, 1, 3, 28, 81, 29, 81, 10, 27, 31, 81, 32, 81, 11, 27, 137, 324, 71, 162, 49, 108, 61, 162, 34, 81, 35, 81, 4, 9, 37, 81, 38, 81, 13, 27, 40, 81, 41, 81, 14, 27, 43, 81, 44, 81, 5, 9, 46, 81, 47, 81, 16, 27, 49, 81, 50, 81, 17, 27, 52, 81, 53, 81, 2, 3, 55, 81, 56, 81, 19, 27, 58, 81, 59, 81, 20, 27, 61, 81, 62, 81, 7, 9, 64, 81, 65, 81, 22, 27, 67, 81, 68, 81, 23, 27, 70, 81, 71, 81, 8, 9, 73, 81, 74, 81, 25, 27, 76, 81, 77, 81, 26, 27, 79, 81, 80, 81, 1, 1 }
92

{0, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 0, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 0, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 0, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 0, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 0, 13, 14, 15, 16, 17, 18, 19, 20, 0, 7, 8, 9, 10, 11, 12, 0, 3, 4, 5, 6, 0, 1, 2}

{73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 90, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 72, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 56, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 42, 13, 14, 15, 16, 17, 18, 19, 20, 30, 7, 8, 9, 10, 11, 12, 20, 3, 4, 5, 6, 12, 1, 2, 6}

Returns: {0, 1, 32768, 230945, 65536, 230945, 24576, 230945, 49152, 230945, 73728, 230945, 98304, 230945, 4096, 46189, 8192, 46189, 12288, 46189, 16384, 46189, 20480, 46189, 24576, 46189, 3584, 46189, 7168, 46189, 10752, 46189, 14336, 46189, 17920, 46189, 21504, 46189, 25088, 46189, 28672, 46189, 16128, 230945, 32256, 230945, 48384, 230945, 64512, 230945, 16128, 46189, 96768, 230945, 112896, 230945, 129024, 230945, 145152, 230945, 32256, 46189, 1344, 20995, 2688, 20995, 4032, 20995, 5376, 20995, 1344, 4199, 8064, 20995, 9408, 20995, 10752, 20995, 12096, 20995, 2688, 4199, 14784, 20995, 16128, 20995, 96, 1615, 192, 1615, 288, 1615, 384, 1615, 96, 323, 576, 1615, 672, 1615, 768, 1615, 864, 1615, 192, 323, 1056, 1615, 1152, 1615, 1248, 1615, 1344, 1615, 18, 323, 36, 323, 54, 323, 72, 323, 90, 323, 108, 323, 126, 323, 144, 323, 162, 323, 180, 323, 198, 323, 216, 323, 234, 323, 252, 323, 270, 323, 288, 323, 1, 19, 2, 19, 3, 19, 4, 19, 5, 19, 6, 19, 7, 19, 8, 19, 9, 19, 10, 19, 11, 19, 12, 19, 13, 19, 14, 19, 15, 19, 16, 19, 17, 19, 18, 19, 1, 1 }
100

{0, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 0, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 0, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 0, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 0, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 0, 21, 22, 23, 24, 25, 26, 27, 28, 0, 15, 16, 17, 18, 19, 20, 0, 11, 12, 13, 14, 0, 9, 10, 11, 3, 4, 6, 1, 2, 3, 10, 14, 3, 2, 5, 13, 0, 4, 11, 1, 4, 2, 5, 13, 2, 3, 2, 3, 0, 14, 11, 3, 0, 7, 5, 6, 13, 10, 5, 0, 10, 0, 1, 5, 6, 4, 5, 1, 1, 5, 9, 0, 2, 0, 6, 13, 9, 9, 3, 4, 0, 0, 0, 1, 13, 2, 1, 16, 9, 3, 15, 8, 9, 6, 4, 5, 0, 11, 4, 15, 10, 5, 0, 12, 8, 8, 14, 6, 2, 4, 15, 1, 12, 1, 6, 9, 5, 9, 13, 1, 1, 9, 10, 0, 10, 1, 8, 10, 10, 14, 4, 7, 17, 6, 2, 6, 4, 1, 6, 7, 13, 14, 6, 5, 2, 15, 0, 5, 2, 11, 5, 2, 7, 4, 9, 11, 7, 0, 6, 2, 9, 5, 17, 6, 9, 12, 10, 11, 9, 17, 8, 12, 12, 6, 9, 12, 13, 8, 1, 8, 7, 0, 2, 10, 0, 5, 8, 3, 8, 3, 5, 3, 1, 2, 9, 1, 7, 4, 0, 8, 12, 6, 3, 1, 7, 4, 9, 1, 1, 10, 0, 0, 1, 6, 6, 6, 1, 9, 5, 2, 7, 8, 1, 6, 3, 5, 8, 11, 0, 0, 5, 9, 12, 7, 0, 6, 0, 3, 9, 6, 1, 12, 13, 4, 9, 13, 5, 13, 14, 1, 0, 2, 5, 10, 1, 0, 2, 5, 11, 2, 3, 10, 13, 3, 1, 1, 9, 12, 13, 7, 4, 6, 3, 8, 2, 9, 1, 2, 8, 4, 8, 6, 6, 1, 13, 12, 3, 0, 6, 16, 14, 10, 7, 5, 8, 17, 13, 3, 1, 6, 6, 0, 9, 8, 13, 0, 4, 7, 7, 5, 5, 1, 12, 2, 11, 16, 2, 2, 3, 7, 3, 13, 7, 3, 7, 6, 13, 8, 1, 18, 1, 6, 8, 8, 0, 2, 4, 8, 11, 3, 15, 3, 2, 9, 8, 3, 0, 4, 4, 6, 14, 7, 8, 3, 12, 6, 4, 5, 2, 0, 2, 8, 4, 9, 8, 3, 6, 0, 5, 11, 4, 1, 0, 8, 2, 5, 2, 8, 12, 6, 3, 2, 1, 1, 6, 3, 0, 5, 0, 6, 14, 7, 0, 7, 11, 12, 7, 0, 12, 11, 4, 9, 0, 8, 3, 2, 5, 10, 17, 11, 6, 6, 15, 14, 7, 0, 9, 9, 1, 6, 1, 2, 15, 0, 1, 4, 3, 0, 13, 0, 3, 0, 1, 6, 0, 15, 6, 0, 10, 14, 5, 0, 0, 3, 1, 10, 8, 9, 8, 8, 1, 5, 9, 6, 11, 0, 4, 10, 11, 2, 3, 3, 13, 1, 15, 9, 3, 6, 5, 6, 0, 1, 2, 4, 5, 10, 2, 4, 2, 11, 7, 4, 2, 2, 11, 0, 1, 4, 1, 11, 1, 7, 6, 13, 4, 14, 11, 4, 2, 10, 3, 14, 4, 8, 17, 0, 0, 14, 0, 6, 6, 0, 11, 7, 0, 6, 1, 4, 1, 1, 5, 6, 17, 4, 0, 7, 5, 7, 2, 8, 2, 9, 14, 2, 11, 3, 0, 17, 6, 2, 1, 5, 10, 3, 4, 13, 1, 9, 7, 0, 10, 3, 0, 11, 0, 3, 5, 3, 11, 7, 9, 2, 2, 3, 14, 10, 0, 5, 10, 5, 8, 0, 8, 8, 5, 14, 0, 6, 4, 10, 8, 17, 3, 10, 3, 0, 16, 13, 2, 0, 9, 5, 10, 3, 6, 1, 4, 5, 14, 5, 6, 11, 3, 1, 8, 6, 2, 8, 9, 0, 11, 12, 6, 5, 6, 2, 5, 0, 1, 3, 15, 13, 5, 4, 3, 1, 11, 4, 2, 3, 11, 2, 13, 1, 11, 2, 4, 2, 1, 10, 1, 5, 6, 1, 6, 0, 13, 5, 10, 8, 2, 2, 10, 0, 10, 12, 2, 11, 6, 0, 13, 7, 8, 13, 6, 3, 2, 1, 0, 8, 0, 4, 1, 10, 3, 1, 16, 0, 0, 2, 16, 3, 2, 0, 6, 9, 8, 3, 9, 10, 4, 3, 3, 6, 2, 5, 4, 9, 1, 9, 5, 9, 0, 10, 5, 7, 11, 11, 4, 4, 0, 3, 0, 1, 10, 0, 7, 10, 14, 3, 8, 9, 15, 2, 10, 6, 9, 0, 6, 8, 13, 9, 10, 6, 9, 7, 5, 7, 9, 1, 3, 11, 4, 3, 6, 1, 12, 0, 9, 1, 2, 0, 5, 11, 6, 8, 9, 14, 0, 9, 10, 1, 17, 17, 3, 11, 5, 2, 10, 4, 2, 4, 3, 9, 0, 2, 14, 1, 4, 3, 5, 8, 6, 14, 12, 5, 5, 0, 0, 11, 12, 10, 6, 0, 12, 9, 4, 8, 7, 1, 15, 0, 3, 11, 18, 2, 2, 0, 13, 5, 4, 2, 1, 11, 5, 12, 1, 1, 0, 9, 8, 6, 12, 2, 3, 3, 0, 9, 5, 13, 3, 1, 12, 3, 7, 4, 8, 6, 1, 3, 6, 14, 11, 0, 13, 8, 1, 6, 8, 4, 1, 2, 12, 6, 8, 2, 4, 7, 6, 2, 5, 1, 5, 8, 0, 6, 1, 9, 1, 2, 2, 1, 2, 4, 10, 7, 7, 9, 6, 10, 10, 3, 2, 8, 3, 3, 2, 2, 0, 11, 4, 1, 0, 4, 9, 16, 14, 3, 6, 5, 3, 2, 9, 0, 9, 3, 4, 7, 0, 8, 12, 5, 4, 3, 0, 3, 8, 5, 2, 1, 7, 12, 4, 2}

{81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 98, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 80, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 64, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 50, 21, 22, 23, 24, 25, 26, 27, 28, 38, 15, 16, 17, 18, 19, 20, 28, 11, 12, 13, 14, 20, 9, 10, 14, 13, 15, 18, 13, 17, 13, 13, 15, 16, 11, 6, 10, 15, 8, 13, 12, 12, 8, 7, 17, 19, 4, 15, 16, 19, 16, 18, 18, 10, 1, 8, 13, 9, 18, 16, 18, 5, 16, 6, 6, 14, 13, 18, 9, 2, 14, 10, 16, 17, 6, 12, 15, 18, 18, 10, 6, 19, 18, 8, 6, 4, 16, 11, 11, 17, 12, 14, 18, 11, 19, 12, 6, 7, 4, 15, 15, 18, 19, 13, 9, 16, 17, 19, 19, 16, 8, 11, 17, 17, 15, 5, 16, 11, 13, 12, 19, 3, 6, 14, 16, 17, 19, 12, 15, 15, 18, 16, 18, 18, 19, 16, 10, 14, 15, 4, 18, 17, 14, 17, 15, 18, 17, 17, 13, 8, 15, 15, 19, 10, 14, 5, 11, 15, 17, 18, 18, 10, 10, 13, 18, 17, 14, 13, 13, 13, 17, 19, 17, 13, 15, 13, 10, 18, 18, 18, 16, 19, 13, 15, 17, 12, 9, 12, 14, 17, 17, 16, 19, 15, 19, 8, 18, 2, 13, 16, 5, 11, 18, 13, 18, 7, 11, 10, 17, 16, 14, 19, 8, 15, 8, 16, 7, 12, 14, 14, 8, 16, 17, 14, 15, 17, 12, 7, 10, 18, 12, 15, 18, 11, 19, 14, 12, 10, 6, 6, 18, 17, 12, 14, 19, 7, 11, 15, 18, 15, 16, 15, 17, 15, 16, 13, 17, 18, 17, 17, 18, 17, 18, 14, 18, 16, 3, 5, 12, 14, 18, 9, 14, 13, 4, 17, 10, 17, 16, 16, 12, 15, 12, 18, 14, 14, 14, 18, 17, 15, 9, 19, 19, 18, 11, 8, 10, 18, 19, 4, 6, 17, 11, 17, 16, 16, 18, 6, 10, 9, 19, 9, 7, 8, 15, 4, 17, 18, 16, 10, 11, 19, 15, 18, 11, 10, 16, 19, 17, 15, 11, 19, 18, 11, 10, 17, 5, 14, 10, 12, 13, 17, 18, 10, 6, 19, 16, 6, 2, 13, 8, 17, 19, 17, 10, 15, 18, 17, 10, 18, 5, 12, 17, 15, 8, 13, 17, 12, 8, 19, 12, 19, 10, 11, 2, 17, 10, 11, 6, 15, 14, 13, 17, 13, 6, 13, 19, 16, 9, 16, 13, 18, 16, 9, 10, 10, 17, 15, 19, 6, 17, 19, 10, 13, 5, 15, 17, 5, 14, 19, 19, 15, 19, 19, 19, 17, 12, 7, 17, 15, 16, 14, 12, 15, 17, 3, 16, 7, 5, 2, 14, 11, 5, 5, 11, 14, 13, 19, 12, 19, 19, 17, 13, 5, 16, 12, 9, 18, 11, 14, 12, 19, 6, 8, 11, 9, 16, 15, 19, 12, 16, 14, 19, 16, 16, 15, 17, 19, 18, 12, 12, 15, 12, 14, 18, 19, 16, 12, 9, 7, 4, 13, 16, 16, 10, 12, 17, 17, 17, 17, 5, 13, 16, 11, 14, 14, 11, 17, 14, 17, 19, 14, 5, 18, 7, 18, 18, 13, 13, 16, 4, 14, 9, 13, 16, 9, 19, 9, 17, 15, 8, 18, 13, 17, 18, 6, 13, 16, 14, 12, 7, 17, 13, 16, 17, 19, 18, 16, 17, 19, 15, 8, 13, 19, 15, 16, 11, 19, 15, 12, 18, 19, 18, 17, 4, 19, 6, 17, 11, 6, 13, 14, 15, 8, 9, 6, 17, 17, 3, 12, 15, 9, 13, 12, 13, 12, 19, 17, 11, 19, 7, 15, 18, 19, 12, 13, 10, 11, 18, 15, 18, 11, 15, 12, 19, 7, 18, 17, 7, 7, 18, 8, 11, 13, 14, 10, 10, 15, 14, 13, 13, 7, 15, 16, 19, 6, 15, 9, 17, 18, 3, 7, 18, 15, 9, 11, 15, 12, 15, 13, 5, 19, 18, 7, 18, 19, 14, 7, 16, 5, 3, 15, 17, 9, 16, 7, 15, 14, 15, 18, 16, 11, 8, 18, 19, 15, 18, 14, 16, 14, 19, 4, 17, 13, 16, 16, 11, 8, 7, 6, 14, 12, 1, 12, 17, 12, 16, 3, 19, 11, 5, 17, 18, 17, 17, 11, 12, 15, 11, 12, 10, 13, 14, 8, 19, 17, 18, 11, 10, 15, 14, 18, 11, 15, 12, 17, 8, 14, 18, 16, 8, 8, 11, 7, 10, 8, 17, 6, 13, 12, 16, 8, 13, 18, 18, 9, 14, 11, 13, 11, 16, 11, 17, 12, 19, 17, 15, 14, 18, 18, 14, 2, 5, 18, 10, 10, 17, 11, 15, 9, 17, 7, 9, 10, 13, 14, 17, 18, 12, 19, 18, 12, 19, 7, 19, 19, 19, 15, 9, 8, 18, 19, 8, 14, 19, 12, 7, 11, 17, 4, 13, 11, 10, 10, 14, 16, 14, 16, 14, 18, 16, 19, 16, 18, 13, 5, 16, 12, 12, 13, 16, 7, 17, 18, 8, 16, 19, 10, 15, 15, 17, 11, 19, 10, 3, 13, 7, 17, 7, 12, 6, 12, 14, 16, 17, 12, 6, 9, 9, 19, 7, 17, 16, 13, 16, 15, 10, 15, 19, 19, 13, 18, 11, 19, 19, 8, 16, 16, 5, 10, 12, 13, 10, 19, 13, 9, 16, 19, 19, 13, 17, 7, 14, 9, 7, 11, 11, 14, 5, 13, 3, 8, 10, 7, 14, 13, 15, 12, 14, 12, 19, 17, 12, 6, 18, 11, 11, 11, 19, 9, 3, 16, 16, 10, 17, 18, 15, 18, 16, 18, 14, 8, 18, 18, 11, 19, 18, 8, 18, 9, 4, 11, 17, 9, 12, 15, 13, 12, 16, 19, 8, 15, 10, 17, 18, 8}

Returns: {0, 1, 1, 23, 2, 23, 2, 23, 3, 23, 4, 23, 5, 23, 6, 23, 7, 23, 7, 23, 8, 23, 8, 23, 9, 23, 10, 23, 11, 23, 11, 23, 12, 23, 13, 23, 14, 23, 15, 23, 16, 23, 17, 184, 17, 92, 51, 184, 17, 46, 85, 184, 51, 92, 119, 184, 17, 23, 9, 115, 18, 115, 27, 115, 36, 115, 9, 23, 54, 115, 63, 115, 72, 115, 81, 115, 18, 23, 19, 276, 19, 138, 19, 92, 19, 69, 95, 276, 19, 46, 133, 276, 38, 69, 57, 92, 95, 138, 209, 276, 19, 23, 10, 161, 20, 161, 30, 161, 40, 161, 50, 161, 60, 161, 10, 23, 80, 161, 90, 161, 100, 161, 110, 161, 120, 161, 130, 161, 20, 23, 21, 368, 21, 184, 63, 368, 21, 92, 105, 368, 63, 184, 147, 368, 21, 46, 189, 368, 105, 184, 231, 368, 63, 92, 273, 368, 147, 184, 315, 368, 21, 23, 11, 207, 22, 207, 11, 69, 44, 207, 55, 207, 22, 69, 77, 207, 88, 207, 11, 23, 110, 207, 121, 207, 44, 69, 143, 207, 154, 207, 55, 69, 176, 207, 187, 207, 22, 23, 1, 1 }
98

{37,18,65,27,58,55,34,56,14,31,89,47,30,5,6,40,18,17,55,27,9,8,13,46,8,13,6,45,60,10,69,5,16,28,55,23,13,23,22,19,24,15,14,74,14,12,15,20,35,70,46,39,27,13,2,64,11,6,75,55,35,0,77,57,23,58,34,7,43,46,17,3,10,0,22,36,44,89,70,76,50,45,0,45,31,50,28,6,33,43,31,22,31,3,42,13,18,6,6,36,79,6,49,6,44,4,21,8,34,22,36,26,15,5,89,45,54,45,48,69,6,9,47,14,14,68,17,48,13,49,13,15,8,8,93,30,5,29,68,4,32,62,27,85,95,0,28,36,65,56,1,28,7,43,19,23,39,9,54,9,1,12,24,57,90,4,15,42,35,12,68,19,0,13,23,43,62,20,20,30,11,25,18,6,41,59,46,49,10,54,48,60,39,4,47,6,55,0,30,6,63,47,14,47,23,0,59,23,47,23,31,69,11,36,33,5,19,13,38,53,40,62,10,1,91,4,49,18,40,10,76,65,52,33,6,15,6,25,21,9,41,35,27,15,41,10,34,35,2,74,0,58,29,53,30,41,16,0,45,62,43,7,73,21,36,23,89,12,17,1,33,48,25,41,41,42,6,20,9,89,14,48,2,4,62,58,3,22,4,70,44,45,5,46,38,3,20,0,6,0,39,11,45,9,13,49,0,16,22,47,2,11,48,61,7,20,30,20,37,30,60,60,11,14,19,35,25,6,25,14,20,47,21,30,73,41,23,42,2,68,64,3,65,11,56,83,32,50,17,43,57,49,0,35,27,43,25,13,68,23,23,4,0,15,36,66,30,41,3,14,46,10,67,2,25,48,32,57,25,42,10,16,48,5,14,76,72,48,49,84,23,11,62,76,50,26,23,47,8,26,21,63,3,75,20,96,3,19,8,57,4,39,37,36,29,13,21,8,10,69,13,1,0,6,25,77,11,16,22,11,38,20,10,35,2,40,63,46,10,18,53,50,0,13,58,35,8,10,62,11,9,1,65,51,18,5,38,67,2,18,57,26,5,20,29,68,39,61,48,21,9,46,27,24,5,94,63,74,64,5,27,37,11,79,34,37,37,11,4,26,39,14,74,59,41,1,17,0,11,64,63,40,66,5,7,16,29,92,24,4,41,31,40,29,87,30,3,0,31,74,82,13,2,11,31,70,21,56,28,10,26,32,30,76,31,51,22,61,44,3,37,49,55,40,21,11,53,35,27,29,3,29,8,73,46,25,28,63,18,76,36,49,27,33,4,86,32,10,34,40,11,24,28,32,2,7,15,6,6,88,3,71,38,7,6,2,77,14,56,39,5,26,66,68,21,12,56,0,42,49,45,54,16,77,9,46,7,22,14,50,60,32,21,44,15,42,55,51,43,67,3,4,28,2,34,30,26,55,18,72,2,8,52,11,7,57,4,7,45,16,32,7,26,25,13,8,29,20,31,16,24,38,38,29,58,29,5,7,26,7,59,14,71,38,7,13,3,33,19,37,28,32,14,14,46,74,3,45,20,19,11,50,30,9,80,78,42,45,19,66,3,54,51,44,29,35,9,12,29,25,27,20,55,4,27,15,62,24,12,4,14,0,76,26,28,33,12,41,41,32,13,2,5,5,22,28,27,72,32,60,44,0,16,5,36,52,4,53,14,27,47,24,72,6,4,22,42,8,27,77,5,0,9,77,49,24,67,6,13,29,46,60,17,19,7,27,26,13,6,23,23,11,19,28,13,42,8,10,17,51,2,15,19,24,30,27,14,1,1,41,11,26,28,34,19,31,46,71,6,11,33,59,74,32,55,15,81,12,66}

{76,21,83,45,60,57,73,93,48,72,96,92,54,97,71,96,56,49,65,90,59,25,21,66,91,73,87,50,82,96,97,62,22,65,79,71,95,94,84,21,77,82,48,96,94,47,96,74,79,76,71,96,53,74,91,95,88,15,81,82,89,39,79,73,80,71,77,79,44,64,22,29,68,11,46,46,75,95,94,95,55,84,70,61,58,71,80,12,48,66,85,39,42,93,86,18,71,20,92,52,83,24,93,15,81,34,23,35,92,25,56,72,91,40,91,88,96,96,87,79,18,46,87,70,18,77,93,56,35,84,81,44,23,58,95,41,30,58,80,59,59,87,91,97,97,94,96,68,80,87,66,43,10,61,31,63,77,64,72,77,95,24,66,66,93,87,28,55,76,18,93,35,57,69,55,72,71,34,57,44,22,52,34,91,60,90,52,83,65,61,86,68,72,17,62,81,66,52,46,60,68,90,72,71,43,3,83,25,58,78,39,92,52,65,78,82,88,97,53,82,49,64,69,49,97,16,60,57,83,53,83,70,96,65,42,85,9,91,68,57,85,39,46,96,54,55,81,66,35,82,16,75,52,65,50,45,70,1,69,79,58,78,77,86,78,64,90,55,53,39,89,86,59,97,79,58,44,76,71,95,57,97,95,29,63,91,25,23,70,92,50,65,97,66,90,73,53,24,30,96,43,39,94,73,31,93,7,56,29,96,23,85,93,63,41,74,97,47,74,36,84,75,90,85,25,56,28,20,61,49,78,86,48,45,94,54,36,63,48,93,92,94,92,48,61,88,72,64,36,68,86,54,79,65,76,91,37,59,76,43,80,91,65,87,86,83,43,75,23,16,78,44,89,67,83,92,80,80,34,55,32,17,93,6,40,83,91,96,58,97,76,78,86,83,89,91,87,70,31,55,43,93,90,83,91,97,36,55,64,81,78,88,49,55,59,72,51,65,80,79,18,88,92,39,39,93,19,37,80,56,93,63,63,65,16,57,95,67,55,58,62,61,14,84,60,95,44,30,76,67,15,87,88,78,28,46,44,94,72,34,93,47,48,64,95,80,65,64,69,95,52,55,37,50,75,97,87,94,78,27,68,39,49,86,56,94,54,30,74,45,94,33,89,66,86,63,87,63,21,80,68,44,95,26,45,70,60,93,81,65,47,53,80,89,97,32,61,4,84,84,88,30,7,35,85,83,45,68,89,15,60,65,43,93,46,58,87,68,57,26,57,94,62,95,40,25,58,82,33,63,80,84,59,76,67,86,51,83,24,88,92,65,63,53,82,89,87,91,66,96,21,38,46,97,8,26,55,52,53,93,15,93,54,93,34,50,86,37,64,68,7,60,92,97,91,26,72,2,71,82,61,57,95,78,44,77,63,88,59,59,89,35,79,76,28,45,88,53,53,95,6,38,79,42,91,40,67,84,68,93,92,23,75,94,92,64,26,85,55,69,78,33,43,40,32,67,67,53,90,19,82,44,96,77,69,35,41,58,78,57,89,85,82,75,10,30,65,61,82,48,41,88,43,85,87,77,62,80,34,37,63,77,93,21,86,95,65,90,30,83,67,66,93,65,51,53,42,63,93,41,61,97,68,83,69,79,90,70,92,16,55,5,85,32,68,80,86,55,71,84,42,71,93,78,86,48,28,88,64,67,75,61,22,88,87,61,47,78,89,51,77,35,90,75,13,67,86,58,42,88,68,60,31,97,54,27,93,79,17,79,62,75,48,47,71,48,47,28,28,78,65,90,89,69,70,58,84,62,75,57,76,46,82,28,41,80,32,92,88,58,71,75,39,89,44,88,64,82,20,63,66,60,87,71,60,47,88,69,78}

Returns: {0, 1, 3, 16, 1, 20, 1, 24, 1, 20, 1, 24, 1, 12, 5, 48, 3, 20, 7, 48, 19, 120, 37, 480, 1, 8, 1, 10, 1, 20, 59, 240, 1, 10, 3, 20, 1, 6, 37, 240, 547, 2304, 5, 24, 1, 5, 1, 4, 2, 9, 7, 24, 47, 240, 5, 18, 1, 3, 25, 96, 17, 80, 371, 1440, 4, 15, 67, 192, 451, 1152, 77, 240, 95, 288, 1, 3, 49, 144, 3, 8, 23, 64, 7, 18, 13, 36, 5, 12, 11, 24, 4, 9, 59, 144, 101, 216, 121, 288, 41, 96, 1, 2, 11, 27, 35, 72, 13, 27, 95, 192, 13, 24, 283, 576, 43, 72, 59, 108, 5, 9, 11, 18, 9, 16, 7, 12, 5, 8, 191, 288, 175, 288, 101, 144, 13, 18, 2, 3, 35, 54, 97, 144, 73, 108, 781, 1152, 47, 72, 25, 48, 25, 36, 71, 96, 17, 24, 5, 6, 3, 4, 35, 48, 7, 9, 83, 108, 29, 36, 29, 36, 167, 192, 19, 24, 13, 16, 31, 36, 5, 6, 7, 8, 11, 12, 233, 288, 11, 12, 31, 36, 23, 24, 11, 12, 1, 1 }
99

{30,61,8,55,13,26,53,70,45,6,46,27,71,59,5,29,69,25,35,0,20,0,58,29,58,19,4,52,19,15,39,5,21,34,45,54,67,22,45,70,11,29,15,17,7,53,30,77,54,28,18,12,28,49,65,30,26,60,28,25,48,70,52,38,13,2,37,10,52,5,10,4,0,33,4,49,42,95,3,23,97,33,23,55,80,72,43,0,52,10,66,26,64,47,34,1,56,32,3,0,54,28,32,39,50,36,5,29,25,20,0,7,43,12,15,23,30,7,12,4,26,9,11,88,24,32,47,23,7,20,68,34,33,72,11,8,14,61,85,7,39,0,28,8,4,49,22,25,15,22,40,51,2,47,66,9,48,0,27,87,8,43,17,35,36,88,9,3,13,74,48,36,33,89,31,60,12,18,50,6,25,33,29,42,70,11,30,56,4,23,22,0,68,66,14,0,10,5,50,22,55,56,23,29,9,24,69,11,23,58,44,58,5,42,0,36,1,49,49,34,48,3,52,43,15,66,62,44,15,28,4,34,50,13,51,38,42,15,34,19,36,11,22,91,15,38,16,16,76,35,16,38,20,19,18,13,7,33,1,65,12,46,3,7,2,53,4,33,50,31,27,4,50,20,16,0,56,15,41,4,41,59,16,61,1,18,7,30,86,18,4,9,71,1,7,51,20,24,26,55,18,41,40,21,22,24,17,25,44,13,84,49,13,87,76,22,20,29,47,40,15,51,48,16,18,7,76,57,24,12,55,71,53,24,3,76,22,11,11,3,56,18,63,24,6,67,30,8,0,49,39,21,56,6,12,24,4,37,9,68,33,8,19,10,38,66,32,70,22,39,3,1,29,30,41,40,42,39,21,37,12,0,6,4,42,46,11,22,1,22,32,68,13,51,55,54,18,35,57,7,12,16,10,18,40,49,72,5,27,63,47,11,30,12,31,8,77,36,29,9,12,3,34,35,34,59,28,42,10,18,42,39,15,0,69,51,81,25,31,16,17,0,62,10,31,40,27,94,33,11,37,37,10,22,27,34,12,14,34,51,9,18,64,37,10,2,35,65,21,73,65,22,24,21,39,13,14,55,35,13,36,11,89,0,27,47,64,29,81,46,79,53,35,36,5,40,41,10,5,19,26,68,5,65,59,71,57,29,4,68,7,10,9,51,48,53,77,4,63,11,47,86,8,42,3,13,22,5,18,23,37,25,11,21,15,50,63,7,35,28,25,44,37,20,64,65,73,11,63,9,56,0,31,93,40,29,17,38,17,0,64,27,0,15,30,25,53,9,59,4,4,53,37,17,36,8,20,77,9,41,46,44,10,16,86,43,34,67,17,0,57,33,46,17,17,3,5,8,15,5,11,28,5,10,64,2,14,15,11,57,17,82,2,44,86,80,63,1,25,39,49,21,17,46,3,72,5,38,56,11,91,64,15,26,9,20,49,41,47,5,43,55,76,26,32,22,67,54,67,8,70,10,56,7,15,23,27,45,4,41,7,1,45,25,40,17,2,16,79,13,0,31,38,23,27,44,38,41,64,61,0,45,20,22,7,72,3,6,33,59,22,49,28,40,19,79,5,40,17,22,13,8,78,83,58,46,32,47,4,10,21,90,77,69,10,14,17,18,21,9,92,11,14,76,20,41,56,23,35,22,15,8,16,21,28,0,31,49,48,28,9,3,29,56,12,71,13,42,8,28,13,25,52,53,24,6,35,31,28,33,38,3,42,77,31,36,23,86,23,11,76,63,25,8,31,26,54,12,49,36,0,15,41,9,96,28,44,13,11,82,31,9,71,16,26,52,25,22,9,15,15,11,63,44,6,20,9,39,5,1,14,34,3,4,0,70,75,9,12,24,71,62,28,5,11,76,1,77,6,73,8,20,69,6,72,89,8,26,3,76,38,38,5,2,18,37,15,62,44,57,48,7,45,54,50,3,67,13,50,76,7,19,18,24,21,73,63,8,30,62,57,38,29,18,39,32,38,52,2,11,56,50,8,52,25,57,21,8,12,6,46,48,74,18}

{37,76,24,62,24,90,54,94,89,55,73,59,73,78,24,77,76,69,76,68,90,61,81,69,61,30,15,55,86,80,98,47,46,64,67,67,79,91,89,72,49,64,90,29,89,65,54,82,94,37,27,45,51,73,91,44,97,68,32,51,98,94,69,76,20,71,54,42,85,65,20,54,7,49,70,72,78,98,63,70,98,44,81,93,94,76,92,89,61,22,81,62,66,63,37,53,60,38,14,12,96,68,76,93,56,49,60,50,92,24,1,76,66,23,52,42,78,46,15,72,34,38,67,97,41,66,94,37,18,72,86,67,51,80,46,38,31,84,93,23,95,25,33,46,56,65,61,66,90,93,90,54,61,79,80,64,51,36,84,93,41,45,50,57,68,96,90,9,61,78,69,96,62,94,90,63,16,80,71,37,59,98,62,87,84,37,59,78,91,86,76,74,87,96,29,46,71,46,98,35,96,67,74,59,70,94,94,67,80,86,83,78,39,74,39,80,75,77,82,87,97,17,79,45,39,72,73,56,42,79,44,50,57,21,65,82,78,28,43,33,78,81,78,98,44,49,53,38,90,96,18,64,43,26,69,39,32,98,10,82,92,58,95,8,87,91,18,70,80,46,37,78,71,94,72,93,86,27,44,44,65,85,90,81,83,93,10,51,94,79,11,36,83,87,66,81,95,84,43,76,92,55,47,61,27,90,98,95,90,35,89,93,18,96,86,27,79,80,90,94,59,93,92,33,51,21,81,74,90,20,87,87,74,81,90,95,96,67,16,37,83,37,83,74,61,97,32,76,2,80,44,26,89,87,69,98,56,92,11,76,41,82,59,13,86,75,57,79,52,98,57,8,62,80,72,67,49,62,35,48,98,48,63,81,72,73,97,48,95,60,44,84,48,64,67,64,29,61,64,31,73,35,14,89,84,80,80,66,64,84,94,64,46,73,88,33,81,45,56,39,49,29,80,81,84,94,88,75,37,57,92,63,44,41,78,76,96,71,49,58,48,46,91,40,64,70,34,98,43,91,39,72,55,29,29,54,64,44,82,88,91,86,81,70,14,84,62,86,66,95,81,46,91,42,81,80,96,62,42,35,56,77,92,31,33,58,72,46,86,63,89,90,51,55,73,58,89,59,68,85,52,81,96,76,71,94,92,94,50,82,11,21,31,98,59,71,84,77,71,70,76,98,83,96,52,58,83,88,50,61,96,98,85,86,25,96,98,25,49,34,95,64,40,82,76,83,91,46,92,33,87,80,86,98,76,63,60,69,35,73,69,36,6,32,36,45,95,16,85,78,54,63,90,89,54,42,79,95,96,93,98,54,41,63,95,78,97,81,72,4,90,87,51,19,97,65,75,33,67,35,72,75,39,80,86,88,66,43,37,65,24,88,77,84,92,96,74,66,63,82,79,39,74,59,62,78,27,41,69,44,93,74,95,32,25,70,85,92,90,32,48,63,84,85,72,47,76,78,74,25,94,74,68,50,54,37,75,49,67,76,24,27,81,67,79,65,49,38,96,46,91,43,90,78,68,68,44,92,80,76,41,93,23,29,42,88,71,24,38,65,78,58,34,95,85,97,31,85,51,26,40,57,80,97,70,62,46,67,56,52,33,96,92,95,93,47,97,30,44,59,95,75,85,95,56,49,95,35,73,84,28,37,61,45,62,5,54,67,51,41,60,41,75,58,20,81,64,44,32,96,98,90,96,89,87,53,57,40,33,82,83,46,77,81,65,92,39,92,24,43,82,90,93,89,32,34,83,27,50,69,97,94,77,93,97,40,66,27,21,87,88,40,81,55,32,80,46,26,16,50,51,54,75,80,31,79,70,77,55,60,64,55,49,37,3,84,78,39,75,77,93,85,60,87,37,95,75,87,64,77,22,65,82,26,75,96,17,80,23,94,60,44,98,51,86,88,95,88,68,88,69,35,82,83,74,62,74,54,73,98,38,80,46,28,85,92,72,65,45,92,98,76,37,74,41,92,44,90,74,59,62,59,73,86,47,63,81,82,26,15,89,60,78,94}

Returns: {0, 1, 1, 24, 1, 4, 3, 64, 9, 128, 1, 8, 3, 32, 1, 24, 1, 10, 3, 32, 1, 12, 9, 64, 1, 12, 1, 8, 37, 216, 3, 16, 3, 16, 19, 120, 15, 64, 13, 60, 1, 6, 133, 640, 3, 16, 5, 24, 1, 4, 535, 1728, 11, 40, 9, 32, 7, 24, 21, 64, 335, 1152, 7, 27, 25, 72, 11, 32, 1, 3, 11, 36, 851, 2304, 3, 8, 29, 72, 5, 12, 199, 432, 11, 24, 29, 72, 19, 48, 149, 288, 43, 96, 373, 864, 59, 108, 197, 432, 1, 2, 13, 24, 223, 432, 3211, 7680, 55, 144, 83, 144, 431, 768, 7, 12, 113, 192, 91, 144, 179, 288, 5, 8, 407, 576, 2, 3, 2, 3, 61, 96, 101, 144, 131, 192, 85, 128, 45, 64, 17, 24, 49, 72, 17, 24, 35, 48, 3, 4, 143, 192, 149, 192, 25, 32, 19, 24, 79, 96, 7, 9, 167, 192, 5, 6, 5, 6, 5, 6, 5, 6, 77, 96, 7, 8, 7, 8, 7, 8, 7, 8, 163, 192, 27, 32, 11, 12, 15, 16, 15, 16, 23, 24, 11, 12, 23, 24, 1, 1 }
96

{66,51,42,69,4,30,13,42,66,22,33,8,23,34,16,10,14,61,6,32,13,48,4,23,56,40,52,8,25,50,46,44,79,35,35,0,74,2,6,72,19,36,17,29,12,41,35,2,38,25,55,0,15,62,38,10,27,67,11,51,42,16,40,70,79,17,43,19,9,20,1,31,66,29,35,15,9,31,38,26,51,2,47,8,2,74,26,6,8,83,3,51,69,60,26,7,9,23,36,47,12,35,36,11,42,22,6,8,7,37,69,27,17,48,0,0,19,38,23,56,64,24,1,21,56,20,16,72,54,48,7,48,36,29,5,2,69,20,58,19,60,19,18,5,25,89,0,33,52,59,6,17,49,28,61,33,1,35,61,0,20,69,56,16,43,57,16,67,35,82,1,48,54,1,66,9,1,44,22,18,16,4,23,46,54,17,30,58,9,50,68,10,8,35,77,49,20,12,59,43,32,43,52,6,4,22,48,12,13,71,16,11,64,19,11,39,13,73,14,15,35,59,21,66,91,41,66,37,66,63,0,50,0,19,11,38,38,4,26,10,20,20,16,53,41,19,46,4,32,36,0,35,52,77,10,58,21,34,43,3,30,17,67,75,47,59,6,3,19,10,1,2,9,60,10,42,10,26,55,1,39,1,80,0,48,52,5,24,46,63,36,18,40,33,17,86,5,7,42,68,59,16,56,19,12,60,26,18,48,32,6,22,58,13,54,11,18,64,34,32,48,63,86,10,8,25,16,20,18,30,23,8,58,17,35,24,31,11,18,37,45,25,53,25,0,28,11,20,20,12,39,72,23,4,4,15,78,71,44,62,10,9,16,88,18,20,16,22,47,3,6,23,15,22,14,6,1,20,9,59,37,44,28,2,77,44,39,35,29,2,52,5,25,43,38,9,27,4,33,29,11,30,27,61,49,8,19,25,35,8,77,25,65,25,5,23,69,21,32,27,23,61,16,43,18,40,29,4,35,68,60,72,58,74,7,24,56,63,4,0,5,55,39,55,86,11,15,17,36,1,4,3,40,29,26,86,18,35,39,10,0,1,0,45,14,41,38,18,0,12,16,35,59,30,14,65,6,55,10,35,49,50,28,86,61,3,4,29,41,26,49,10,55,73,11,21,25,40,30,15,35,17,54,35,24,49,5,6,20,46,30,2,30,12,5,2,12,6,36,16,63,40,35,5,59,18,11,53,74,1,51,25,22,29,48,44,76,40,46,37,25,0,62,68,20,18,7,54,15,52,0,26,24,31,50,39,5,79,10,17,20,45,0,59,19,55,18,48,5,50,13,53,54,1,40,75,57,37,0,33,54,23,41,72,80,92,40,1,27,7,13,57,69,3,0,23,13,28,47,65,23,7,25,2,19,27,50,9,14,13,10,46,32,2,14,72,94,3,5,81,15,33,13,60,16,2,31,87,52,77,14,80,56,20,39,37,31,46,2,42,84,21,20,17,72,14,26,10,30,15,27,30,5,17,75,93,43,1,53,0,55,17,32,0,10,48,62,16,45,50,34,47,85,33,48,63,45,23,55,29,36,65,17,16,37,17,69,17,35,36,40,22,52,37,13,36,4,16,37,34,27,38,33,33,47,3,57,90,73,40,30,24,39,34,51,6,20,30,26,25,6,42,63,3,16,63,24,21,67,25,9,37,0,3,37,9,5,30,70,62,9,14,35,65,3,76,51,72,10,20,69,6,43,43,0,11,4,28,0,22,41,18,33,46,64,76,13}

{84,52,58,78,38,85,75,52,85,40,81,62,85,39,90,29,25,76,52,93,61,74,89,55,75,63,56,45,89,83,64,58,89,42,38,5,89,76,21,95,43,42,20,94,55,89,47,95,63,33,61,89,50,66,40,63,42,91,91,56,45,89,45,94,85,35,49,28,74,48,90,49,92,76,46,48,63,82,41,60,71,33,70,44,48,87,45,63,47,88,83,71,92,76,41,80,40,81,87,72,14,51,64,55,63,85,10,43,49,67,95,61,33,67,88,93,90,81,82,88,94,43,39,67,79,78,66,75,93,74,68,76,67,42,26,30,82,48,89,82,63,39,66,45,30,91,12,88,66,83,58,92,81,36,67,34,61,79,70,51,68,83,75,62,54,58,80,88,71,94,90,69,63,14,75,75,29,91,89,69,20,58,66,82,77,90,78,68,26,86,78,35,88,68,91,81,28,95,77,93,90,64,85,62,66,35,71,35,19,92,18,91,67,82,40,58,56,95,41,47,89,64,43,82,92,73,74,58,94,65,89,71,59,52,29,61,54,57,86,27,44,33,55,79,82,47,85,56,86,45,2,88,94,90,75,93,35,63,53,70,63,20,74,79,60,76,10,45,81,19,16,86,20,71,12,45,53,56,60,35,95,21,92,13,71,87,80,79,73,93,52,44,74,41,70,95,27,84,88,79,65,33,64,51,74,62,89,88,85,57,65,29,93,66,91,48,74,74,69,53,80,68,94,40,53,93,87,25,63,63,29,80,77,57,94,28,45,70,47,58,72,58,71,31,9,85,78,77,75,16,77,74,54,36,89,75,93,82,70,83,20,83,44,92,65,35,54,63,53,61,66,44,76,52,91,93,47,45,22,69,53,46,64,74,87,51,58,79,55,45,62,70,49,90,89,11,48,49,58,33,27,61,70,95,76,27,92,35,75,34,81,50,66,29,84,42,92,59,74,94,42,88,19,51,40,68,33,89,93,80,76,77,65,78,24,61,91,68,62,1,21,62,63,63,94,36,56,77,43,27,25,89,69,47,89,88,84,66,76,52,7,70,39,72,45,69,92,56,79,80,78,91,94,44,71,73,78,88,27,38,93,79,85,92,68,51,57,82,55,30,89,53,90,85,54,40,89,52,33,77,81,45,70,37,30,82,17,38,90,89,88,75,36,28,91,73,80,68,49,53,89,42,36,14,94,23,93,67,76,37,65,82,43,79,58,62,92,67,49,73,75,3,66,86,52,62,29,67,29,74,25,81,63,91,93,74,90,85,15,76,87,76,85,80,50,57,47,64,32,58,94,71,84,77,55,95,67,64,6,95,86,60,50,85,91,95,47,89,73,38,52,91,76,71,90,92,59,85,73,67,76,28,31,17,85,76,78,75,43,87,68,91,75,78,92,83,95,36,74,95,91,63,80,68,23,19,55,95,77,87,47,91,66,68,75,76,53,56,38,45,87,45,35,54,80,23,67,59,45,75,69,85,14,20,78,95,95,15,68,4,80,76,70,14,25,73,70,75,64,59,71,77,95,47,61,91,68,36,84,32,61,76,49,28,53,47,85,88,81,72,58,40,87,53,65,68,53,34,82,75,92,71,67,62,65,82,94,95,81,86,68,49,56,79,85,76,93,75,64,51,31,76,70,82,92,88,85,89,70,30,74,53,50,49,42,26,8,48,78,79,58,20,81,73,20,95,91,78,72,79,94,95,91,56,36,68,57,54,14,31,82,32,85,82,91,89,64}

Returns: {0, 1, 1, 10, 1, 12, 1, 8, 3, 20, 1, 12, 1, 20, 1, 9, 629, 2880, 7, 60, 1, 10, 7, 30, 3, 20, 2, 15, 1, 5, 9, 40, 1, 5, 1, 6, 1, 4, 4, 15, 1, 4, 9, 40, 7, 30, 3, 10, 2, 9, 3, 10, 7, 30, 509, 1440, 1, 3, 7, 20, 7, 20, 2, 5, 9, 20, 2, 5, 7, 15, 7, 20, 2, 5, 17, 40, 2, 5, 8, 15, 9, 20, 9, 20, 1, 2, 9, 20, 17, 40, 23, 40, 41, 80, 1, 2, 341, 720, 21, 32, 31, 60, 1, 2, 11, 20, 19, 32, 21, 40, 1, 2, 3, 5, 11, 20, 3, 5, 7, 12, 11, 20, 19, 32, 5, 8, 3, 5, 13, 20, 13, 20, 7, 10, 7, 10, 11, 16, 487, 720, 31, 40, 223, 320, 53, 80, 123, 160, 3, 4, 3, 4, 4, 5, 31, 40, 17, 20, 4, 5, 127, 160, 71, 80, 4, 5, 277, 360, 4, 5, 9, 10, 31, 40, 9, 10, 69, 80, 17, 20, 71, 80, 9, 10, 19, 20, 37, 40, 9, 10, 1, 1 }
88

{21,4,18,33,3,17,21,20,34,8,8,24,68,5,13,35,45,10,58,44,52,16,37,20,62,23,35,0,15,32,8,45,3,13,16,59,10,3,17,10,47,30,57,60,6,12,5,40,36,2,19,28,70,10,20,16,8,23,35,32,26,0,44,26,8,16,24,3,18,5,13,29,67,34,42,33,1,22,0,0,85,55,18,51,37,6,1,5,9,30,11,3,23,62,8,12,5,18,43,2,62,56,3,25,12,38,14,5,6,35,27,62,23,40,21,32,42,29,79,11,64,44,60,7,2,54,72,20,12,3,53,21,0,26,37,8,6,14,10,49,12,63,69,19,13,17,77,41,58,17,51,24,44,35,6,50,11,39,51,14,11,58,6,4,28,42,18,13,3,11,21,65,6,28,10,44,2,41,29,14,25,1,15,53,44,13,26,41,42,20,60,6,34,27,18,2,63,4,27,14,17,33,1,33,35,12,30,86,46,0,2,4,19,41,17,42,27,47,29,9,14,46,63,25,48,32,23,36,74,53,7,36,71,11,8,4,64,42,39,83,16,12,8,9,35,54,23,16,13,42,82,78,10,36,8,12,8,35,59,26,70,2,20,50,76,27,22,3,51,16,48,24,60,9,22,14,62,17,75,16,13,56,13,84,1,3,18,59,37,32,41,52,26,43,0,23,51,34,23,69,28,47,34,32,4,3,0,48,40,46,46,19,41,51,0,12,21,13,29,7,45,5,27,80,30,68,52,0,31,60,49,3,30,2,18,32,24,30,20,10,4,62,15,66,18,45,56,16,53,2,5,39,18,3,68,6,9,57,5,64,1,6,36,38,22,25,2,26,35,0,41,62,80,52,21,25,51,22,52,40,61,31,67,9,1,22,37,45,60,47,11,26,27,26,0,65,17,34,1,6,29,25,32,2,22,46,41,81,2,33,0,25,10,31,24,27,53,10,42,9,16,41,0,27,18,65,46,49,72,11,30,3,3,10,9,36,32,30,61,28,45,16,29,11,27,21,29,40,71,43,23,19,41,32,56,38,3,47,10,30,15,36,7,14,56,20,47,20,36,24,1,16,11,58,1,22,13,30,53,22,14,43,15,8,61,32,12,71,4,7,52,23,29,44,48,9,40,27,11,25,0,52,47,32,35,37,14,42,43,11,20,18,32,1,4,41,24,3,29,20,11,45,11,26,7,59,39,25,38,20,15,62,9,5,0,25,38,41,15,26,3,17,6,20,6,19,25,18,32,27,42,43,33,63,61,44,11,17,27,5,76,22,10,35,71,11,0,12,43,48,0,6,22,12,24,36,27,5,17,10,45,5,72,10,12,70,44,62,6,6,16,11,5,27,51,6,16,12,35,17,27,50,45,21,31,40,69,13,73,24,13,54,29,52,30,24,12,3,14,38,35,47,30,20,3,11,16,30,20,29,42,38,69,7,46,16,29,35,6,20,26,8,50,34,22,10,12,19,2,15,57,48,0,0,57,38,14,43,1,54,48,62,16,6,29,6,3,38,52,72,6,3,46,20,39,59,18,8,16,3,32,18,27,2,2,19,50}

{39,9,21,57,4,51,74,46,54,26,20,80,77,73,52,49,78,48,85,66,59,86,81,30,66,32,40,72,31,36,57,69,74,37,54,61,69,60,20,15,81,69,73,70,58,85,28,44,54,77,65,36,84,84,33,58,44,67,38,72,81,24,64,63,27,33,34,11,66,19,21,61,79,52,56,61,54,60,29,25,86,80,80,87,79,59,14,13,47,77,33,80,31,64,25,20,60,29,54,48,87,65,60,68,29,46,22,46,69,70,51,76,83,69,46,66,45,56,81,67,75,80,68,72,44,70,86,74,43,44,71,66,28,36,77,23,35,53,33,67,54,76,73,47,38,30,79,45,65,18,56,53,47,57,18,55,79,82,54,65,22,73,8,12,48,47,74,76,21,69,67,86,26,37,44,67,47,58,61,71,42,62,24,71,81,60,54,51,78,43,67,36,50,84,80,81,77,87,67,17,25,74,55,58,66,72,66,87,60,1,18,72,72,55,34,59,66,51,65,12,22,86,85,30,87,49,35,87,86,87,42,39,77,46,64,11,66,70,77,87,86,51,62,25,66,81,57,64,36,62,87,87,72,66,54,87,11,42,71,71,72,43,66,71,80,83,53,8,62,76,80,30,69,35,74,35,74,61,86,34,44,61,39,87,83,38,27,62,67,87,60,81,39,78,79,73,74,48,72,70,71,58,36,70,76,28,63,79,47,71,83,40,71,55,52,65,37,16,73,56,81,27,75,87,85,83,66,69,72,69,73,58,46,85,60,79,76,39,29,56,37,67,73,87,84,58,58,50,75,64,22,46,85,46,82,70,35,65,64,83,87,48,67,47,79,36,8,63,83,11,83,72,83,82,85,35,84,56,72,80,87,41,77,24,70,81,76,75,67,64,31,55,72,42,6,78,20,86,41,20,63,33,51,66,45,53,63,87,23,58,22,58,27,40,66,36,66,40,83,18,37,78,47,58,58,87,57,71,78,46,66,33,64,43,25,45,71,43,71,78,50,48,51,71,59,49,69,44,73,71,39,31,53,38,75,68,7,57,23,44,80,85,24,77,73,58,68,34,67,71,9,25,48,73,85,46,71,53,87,29,43,56,20,42,76,75,35,83,42,45,69,71,69,76,72,80,51,69,31,85,44,68,56,38,51,71,67,45,63,77,32,85,81,51,23,87,34,87,64,72,49,57,63,29,72,74,71,78,67,32,54,85,17,59,2,65,71,53,26,44,5,50,26,36,51,66,37,62,70,59,53,71,52,74,81,49,47,63,75,43,80,80,48,61,84,71,10,39,87,73,67,31,73,22,62,66,83,45,20,56,56,85,75,14,28,85,54,83,18,53,53,87,8,56,60,85,74,66,69,61,30,74,86,45,45,73,75,57,87,67,32,81,74,85,53,41,35,47,40,69,68,72,62,65,73,45,64,38,82,65,75,76,71,26,77,62,43,67,71,33,51,58,65,87,53,34,85,87,40,62,70,87,76,3,70,43,74,68,19,60,59,65,59,37,42,53,54,55,64,84,15,50,74,30,57,83,33,38,47,71,46,41,70,46,67,48,55}

Returns: {0, 1, 2, 27, 19, 216, 1, 18, 1, 9, 1, 9, 19, 216, 215, 1296, 19, 108, 1, 6, 2, 27, 13, 54, 19, 81, 1, 6, 4, 27, 59, 324, 2, 9, 2, 9, 5, 18, 139, 648, 49, 162, 647, 1620, 11, 36, 20, 81, 301, 1080, 5, 18, 179, 648, 1, 3, 553, 1620, 10, 27, 7, 18, 103, 324, 121, 324, 127, 324, 152, 405, 1, 3, 121, 270, 931, 1620, 4, 9, 211, 405, 7, 18, 347, 810, 47, 108, 19, 36, 4, 9, 97, 180, 481, 810, 1, 2, 511, 1080, 43, 72, 521, 810, 5, 9, 13, 27, 1111, 1620, 11, 18, 1211, 1620, 17, 27, 1111, 1620, 235, 324, 185, 324, 2, 3, 19, 27, 107, 162, 47, 72, 188, 243, 133, 162, 431, 486, 3, 4, 3, 4, 13, 18, 7, 9, 7, 9, 5, 6, 8, 9, 65, 81, 8, 9, 7, 9, 5, 6, 11, 12, 8, 9, 23, 27, 17, 18, 7, 8, 25, 27, 11, 12, 31, 36, 17, 18, 1, 1 }
73

{3,35,16,26,51,15,5,13,58,17,29,46,54,24,15,11,2,21,34,54,24,11,22,33,9,19,31,42,9,55,68,46,0,35,2,1,15,6,33,6,28,14,47,20,17,29,18,41,11,13,32,12,3,16,1,31,52,19,15,14,43,1,48,47,26,4,46,1,16,11,29,12,17,2,29,24,29,29,32,31,23,46,36,35,9,11,27,29,35,13,13,19,18,41,14,11,27,15,55,38,59,0,37,7,24,39,5,40,8,44,48,22,11,44,15,38,3,29,4,26,23,13,3,36,31,52,24,8,3,35,18,9,5,38,34,28,21,10,43,2,8,17,6,0,48,36,9,29,25,7,19,40,10,23,0,10,1,37,17,19,31,52,41,49,52,21,12,41,16,47,21,13,29,0,50,49,45,12,37,31,35,9,36,0,40,2,41,16,20,29,54,11,7,13,47,25,11,6,6,42,38,40,23,55,10,24,39,33,12,38,37,10,50,17,8,5,58,42,8,6,26,65,14,7,38,21,3,9,18,10,46,11,43,19,15,14,35,69,40,5,39,39,20,5,36,20,3,48,0,19,4,41,60,38,53,28,29,35,9,12,20,25,8,21,5,54,14,10,8,23,6,13,8,30,57,4,2,11,30,20,57,25,2,24,29,23,48,24,9,32,16,1,42,49,5,10,63,43,67,4,13,38,35,41,34,3,70,1,20,55,2,3,27,33,27,42,31,57,31,37,10,35,19,4,19,10,35,22,22,11,42,71,17,17,13,4,19,42,38,22,43,48,28,12,31,62,5,1,1,34,52,26,1,46,31,18,9,13,31,21,22,51,23,42,20,28,0,2,15,14,1,57,42,18,48,22,65,11,22,36,2,10,4,52,19,30,7,0,2,38,7,6,15,6,25,28,6,36,51,43,17,29,14,17,56,11,0,12,24,31,39,26,20,27,10,5,0,24,7,34,56,3,2,8,50,31,27,62,3,30,0,23,27,26,30,9,22,48,10,11,29,23,15,38,53,9,52,32,13,0,28,51,26,29,14,60,12,41,33,7,49,12,13,56,2,14,26,2,16,37,10,27,3,2,18,49,4,20,64,23,38,15,23,11,22,13,20,3,4,35,32,21,3,47,24,2,53,0,45,5,32,20,10,46,6,35,65,8,39,54,0,37,7,28,16,4,35,2,30,11,0,47,1,48,46,30,9,24,3,51,16,66,19,30,49,21,39,0,43,16,36,3,45,44,3,40,32,53,9,12,18,27,18,44,22,42,51,4,19,16,14,50,36,38,37,3,4,45,19,13,8,16,29,33,14,3,9,63,32,3,38,61,27,3,14,45,11,5,45,12,21,20,18,5,21,21,12,3,39,47,12,27,17,2,13,25,35,45,21,37,27,52,40,14,20,20,42,11,29,15,48,13,15,58,60,5,51,7,12,34,33,27,38,12,6,4,19,12,40,11,27,37,49,18,38,66,47,39,5,31,21,40,20,5,1,11,18,48,51,22,20,3,25,0,19,39,23,18,36,0,5,48,3,39,0,8,12,56,10,19,13,35,33,10,53,49,5,49,27,49,21,11,28,20,23,4,2,17,37,2,28,20,42,28,45,47,14,44,16,65,13,40,16,14,17,39,26,52,53,10,28,40,37,21,2,26,42,28,25,3,17,9,7,39,34,34,28,53,8,52,44,5,24,3,23,6,32,27,51,22,33,44,24,25,10,23,19,62,24,17,4,6,8,39,16,45,30,20,19,8,0,37,31,67,13,10,54,15,53,25,23,20,8,0,15,12,8,6,20,55,1,34,11,0,0,9,7,12,11,21,22,40,0,1,53,10,38,46,24,13,22,4,17,11,4,26,5,57,32,39,24,30,12,37,42,11,39,23,38,13,5,5,34,40,20,22}

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

Returns: {0, 1, 1, 21, 1, 15, 5, 84, 1, 6, 1, 21, 2, 21, 2, 21, 5, 42, 19, 105, 2, 21, 2, 15, 1, 7, 11, 84, 4, 21, 1, 5, 3, 14, 5, 28, 4, 15, 4, 15, 5, 21, 5, 21, 2, 7, 2, 7, 2, 7, 13, 42, 1, 3, 1, 3, 8, 21, 101, 252, 1, 3, 1, 3, 25, 63, 8, 21, 8, 21, 3, 7, 29, 63, 59, 126, 10, 21, 73, 168, 11, 21, 15, 28, 11, 21, 25, 42, 37, 63, 4, 7, 13, 21, 41, 63, 55, 84, 2, 3, 139, 189, 5, 7, 293, 504, 5, 7, 5, 7, 16, 21, 41, 56, 16, 21, 155, 189, 5, 6, 17, 21, 172, 189, 17, 21, 6, 7, 139, 168, 6, 7, 6, 7, 19, 21, 19, 21, 19, 21, 20, 21, 20, 21, 1, 1 }
96

{30,36,63,10,55,36,12,26,54,13,30,56,44,68,15,72,2,12,59,31,37,33,4,18,7,33,35,47,1,24,50,22,4,24,3,8,3,45,11,69,51,22,40,36,40,55,39,60,8,61,72,0,77,56,14,8,10,59,0,78,80,39,34,4,61,35,0,14,78,82,53,6,46,26,38,56,19,42,42,16,3,34,23,17,17,75,71,60,46,29,31,7,70,40,9,4,50,22,38,8,3,46,32,41,15,39,6,31,46,58,11,4,30,31,1,1,2,45,12,13,34,1,6,62,25,52,31,65,59,5,40,40,26,33,15,68,39,11,35,41,50,54,16,16,36,16,91,13,94,21,63,0,3,68,27,10,12,66,11,23,14,8,38,66,24,32,39,12,54,11,24,6,35,37,65,38,21,37,14,65,51,47,12,55,41,77,11,10,31,5,33,11,56,42,11,28,64,40,62,15,2,59,39,26,38,10,51,65,85,23,4,1,34,48,29,4,40,3,16,24,65,25,18,64,47,9,52,22,18,38,69,63,63,36,25,48,24,2,20,41,16,69,18,7,14,20,80,10,12,14,26,31,12,19,17,7,29,24,72,39,38,67,16,20,20,66,22,91,73,0,21,75,39,6,62,36,7,45,29,8,30,45,37,50,22,17,19,84,1,30,55,3,16,0,26,11,88,36,38,32,2,11,11,51,58,38,4,17,3,91,17,39,35,14,47,74,47,8,56,77,64,4,28,0,38,33,6,35,2,22,36,18,50,7,93,56,37,43,8,49,15,7,16,72,39,45,22,28,40,78,41,34,43,44,3,7,32,32,44,51,48,19,10,8,24,24,11,49,16,47,39,56,16,15,23,3,23,30,28,77,23,5,5,7,59,4,44,60,55,59,0,39,73,80,36,48,34,39,3,17,23,7,37,27,19,51,68,77,41,6,42,13,24,2,20,18,29,10,34,38,81,75,16,52,24,21,0,20,11,13,68,2,14,47,19,45,40,32,72,70,0,27,9,0,84,15,29,16,53,66,47,20,45,57,15,40,4,34,45,19,6,44,3,10,33,48,40,48,29,29,62,60,61,37,12,46,53,51,17,53,37,4,2,17,39,72,89,1,90,29,59,13,45,42,25,8,19,25,16,73,34,20,34,35,21,49,24,2,16,4,74,17,13,4,6,11,20,54,32,67,47,76,9,40,24,49,66,10,1,30,77,0,14,16,22,4,47,17,87,2,79,59,28,39,39,9,19,32,12,16,46,84,22,64,4,8,22,6,47,23,9,92,21,47,23,40,8,2,70,51,7,6,6,7,9,22,3,22,0,23,73,10,28,18,44,28,1,55,11,23,18,21,6,39,16,20,51,10,10,37,5,14,33,19,13,73,13,53,3,18,52,2,11,5,11,27,57,14,4,35,59,55,6,21,20,26,81,30,11,80,31,88,23,32,37,37,25,33,18,36,22,20,8,17,6,42,4,36,53,21,19,16,6,22,10,29,18,29,12,19,43,29,16,76,37,41,46,62,52,21,48,34,63,17,13,74,28,14,24,2,6,7,70,11,7,47,74,2,13,18,28,45,37,36,52,13,28,18,14,33,15,11,38,2,6,1,21,12,83,24,12,7,45,13,27,15,57,16,21,32,31,22,20,7,5,8,15,39,16,29,27,61,44,45,38,30,71,12,3,29,52,80,69,12,78,67,58,7,37,55,27,17,0,2,42,23,13,30,17,3,31,3,51,28,40,70,29,86,1,42,74,29,29,77,46,34,32,2,7,23,15,41,4,55,27,15,84,9,11,8,2,26,70,15,0,22,41,63,41,45,18,75,16,52,6,31,17,53,27,16,52,48,7,9,28,13,32,17,29,81,4,29,10,4,12,45,12,5,1,24,23,40,2,48,16,61,27,41,30,21,10,3,39,5,16,37,5,3,4,72,57,1,17,30,22,14,21,1,5,29,11,33,2}

{72,59,86,34,69,78,24,58,78,74,60,78,76,91,38,80,28,13,84,47,68,82,16,59,83,44,80,72,82,28,55,65,79,43,74,50,95,86,32,75,91,61,47,48,72,77,74,90,71,85,84,90,93,90,46,22,69,81,3,93,87,83,40,58,84,62,21,75,93,83,86,76,90,62,69,61,25,61,68,66,89,62,32,24,20,95,90,86,77,36,70,82,74,42,76,59,87,87,42,60,35,94,87,52,17,48,90,81,56,90,75,11,36,89,77,50,83,64,77,83,69,31,66,67,28,66,85,75,89,43,56,82,29,92,24,88,48,57,58,60,54,84,66,28,41,39,93,55,95,47,86,39,28,92,72,67,51,84,38,46,87,11,91,86,83,65,64,19,76,95,27,54,56,67,71,59,61,49,31,85,65,65,39,62,66,89,80,38,92,88,53,33,90,60,67,44,78,87,70,55,21,64,52,47,85,28,58,91,95,42,15,79,54,90,49,50,77,81,20,74,71,28,75,73,61,71,62,69,48,92,80,93,82,57,29,81,81,92,86,52,43,76,86,15,89,74,93,95,33,70,28,58,79,22,83,88,52,70,79,70,56,73,28,69,92,71,95,92,74,2,77,81,52,91,80,59,87,80,75,46,89,74,52,80,43,43,47,88,58,93,80,92,51,13,61,74,91,52,68,58,22,66,30,61,71,75,5,19,27,94,66,72,85,93,94,81,94,23,93,81,80,66,62,6,50,95,26,43,58,39,93,48,80,72,95,81,56,67,31,76,20,38,80,88,80,76,37,72,60,80,75,81,90,65,56,46,91,81,85,83,66,30,44,85,71,39,71,57,39,80,76,67,45,21,31,18,43,33,86,79,82,71,14,65,62,19,63,79,74,69,52,68,85,83,65,59,55,87,88,79,53,44,91,28,45,78,82,92,62,26,47,62,78,55,44,48,55,46,82,78,86,84,58,83,59,58,8,80,92,95,77,68,80,88,94,58,78,67,93,75,15,46,23,4,89,64,39,71,62,81,61,34,53,59,63,88,47,90,56,82,63,63,8,26,74,66,71,79,95,61,90,67,89,55,34,75,69,71,82,82,88,74,53,81,93,80,94,14,92,47,93,41,71,50,57,77,90,59,81,74,93,85,89,75,94,93,48,35,92,87,77,92,36,30,79,40,61,66,58,72,74,81,19,60,72,77,95,78,89,70,89,1,43,35,38,37,53,28,95,16,95,87,34,88,53,30,46,44,25,76,77,91,67,83,74,19,55,47,95,65,13,95,32,89,30,83,83,9,92,73,23,22,84,38,11,43,92,57,70,42,77,54,45,26,53,78,23,90,45,53,29,90,41,79,59,64,56,75,34,55,17,39,42,65,57,82,28,65,10,30,64,47,62,12,53,82,93,52,60,95,95,83,80,49,85,72,82,77,84,88,57,90,90,44,79,81,36,81,52,74,90,23,46,64,78,87,13,87,88,73,76,95,81,51,14,35,42,76,35,78,91,50,74,85,40,56,51,74,60,92,79,64,67,26,57,84,87,40,50,84,74,59,78,36,31,80,93,93,67,83,92,85,93,52,71,66,69,63,52,66,56,15,88,7,16,22,42,35,95,91,91,74,92,87,75,20,60,73,55,49,83,94,43,47,77,86,62,64,52,69,60,89,68,60,51,46,78,42,31,72,92,94,95,94,83,69,63,34,65,77,83,71,87,16,43,86,83,51,47,34,75,32,81,30,75,76,82,89,59,55,82,63,35,80,79,91,50,14,43,95,81,82,69,57,30,17,86,47,15,34,26,62,95,27,10,57,65,73,48,59,93,88,89,57,80,45,43,72,89,79,85,92,75,20,90,68,80,19,61,90,76,49,32,22,50,73,67,70,50,71,45,62,79,66,22,92,42,88,53,29,53,77,50,34,44,68,19,24,76,85,61,84,46,67,38,65,72,70,73,61,77,62,32}

Returns: {0, 1, 2423, 18000, 1, 25, 1, 25, 3, 50, 3, 25, 19, 225, 1, 10, 2, 25, 2, 25, 3, 20, 3, 25, 9, 50, 1, 4, 2423, 9000, 4, 25, 38, 225, 1, 5, 3, 20, 6, 25, 19, 75, 101, 400, 22, 75, 23, 75, 6, 25, 7, 25, 13, 50, 7, 25, 8, 25, 69, 200, 9, 25, 437, 1125, 88, 225, 2, 5, 9, 25, 897, 2000, 41, 100, 26, 75, 11, 30, 33, 80, 2, 5, 23, 50, 11, 25, 2257, 4000, 73, 150, 529, 1125, 53, 125, 38, 75, 53, 100, 107, 225, 12, 25, 61, 125, 51, 100, 43, 75, 5, 9, 13, 25, 73, 125, 14, 25, 69, 125, 3, 5, 31, 50, 707, 1000, 16, 25, 77, 125, 33, 50, 16, 25, 142, 225, 17, 25, 193, 300, 73, 100, 7, 10, 53, 75, 151, 200, 18, 25, 19, 25, 39, 50, 157, 200, 4, 5, 58, 75, 9, 10, 21, 25, 21, 25, 67, 75, 71, 75, 83, 100, 357, 400, 22, 25, 23, 25, 22, 25, 23, 25, 23, 25, 23, 25, 24, 25, 24, 25, 24, 25, 1, 1 }
98

{34,40,4,15,80,40,57,11,65,9,9,23,61,27,56,60,36,31,8,34,26,21,6,43,18,64,7,31,73,13,49,29,18,23,19,49,2,80,76,25,30,13,64,24,74,12,8,28,22,51,9,18,3,34,67,47,9,70,3,43,13,48,52,44,42,58,16,88,41,35,15,35,49,49,4,6,42,16,11,61,37,59,64,32,46,40,92,35,46,30,8,6,53,26,65,49,16,8,1,35,11,65,0,8,12,32,42,22,13,18,32,4,36,2,52,3,24,31,4,15,27,38,31,31,10,94,90,67,34,62,48,18,57,69,30,50,54,65,77,50,10,28,43,29,1,16,30,13,20,18,13,56,39,3,71,4,31,93,54,0,22,9,16,8,89,32,39,25,2,13,20,20,33,35,16,71,8,61,40,40,61,3,14,29,61,58,1,81,24,40,13,17,25,31,39,6,86,52,4,68,7,41,52,6,44,10,57,49,75,28,47,33,18,14,4,16,24,2,0,43,48,61,41,11,2,76,43,6,12,2,5,78,63,1,23,43,2,25,44,24,45,38,3,69,36,46,13,16,8,41,2,27,41,10,4,53,21,15,16,4,50,3,42,48,96,10,17,15,35,0,47,24,41,41,11,23,21,69,61,42,11,12,39,60,2,75,7,28,12,70,52,62,34,11,23,12,47,50,12,77,24,55,19,26,39,41,27,83,0,10,46,34,10,20,34,47,60,52,79,11,17,26,72,45,24,25,14,80,65,73,38,12,1,9,55,62,19,9,73,29,22,29,79,71,14,52,23,21,3,23,35,0,48,3,63,30,0,11,16,12,3,21,35,0,26,11,31,4,16,19,33,43,41,56,8,40,32,83,49,2,41,55,86,12,11,32,87,17,47,21,6,26,66,34,27,17,43,34,32,48,25,13,18,79,64,18,1,68,29,17,71,27,27,1,23,66,57,15,23,12,47,0,88,27,69,30,62,37,15,74,41,29,1,11,44,29,23,9,39,69,64,39,2,5,19,27,41,38,36,3,4,60,35,46,6,47,26,4,24,26,6,66,9,35,20,2,85,21,61,44,26,31,29,44,13,16,17,45,34,20,7,53,6,5,44,91,29,5,41,44,74,12,80,68,64,0,17,45,6,69,87,27,0,9,1,35,14,9,73,35,1,17,32,15,0,7,24,58,57,41,64,1,41,50,54,38,30,8,24,22,10,56,35,10,5,15,50,27,11,49,33,34,31,22,34,38,10,36,17,49,30,47,49,3,53,4,7,69,52,72,34,85,79,33,5,25,29,69,19,37,50,59,32,3,44,13,20,4,41,47,37,18,58,86,19,43,44,8,4,64,20,78,38,30,7,1,44,13,26,12,38,0,26,5,43,10,12,26,43,7,3,27,4,21,38,9,27,1,2,46,78,22,10,59,7,70,42,77,79,0,40,40,5,72,12,27,23,44,51,1,50,39,43,38,6,49,3,38,31,48,14,56,14,34,17,42,78,11,77,12,40,63,54,43,62,51,68,55,22,32,21,14,62,43,45,44,36,40,44,9,0,32,35,84,2,33,89,33,8,73,19,71,52,44,32,42,22,8,54,63,57,76,35,19,22,43,12,10,40,9,0,41,62,2,14,22,15,27,7,20,28,35,19,45,12,12,17,41,6,74,20,19,81,24,20,41,76,41,68,47,4,33,42,2,0,63,26,10,17,43,0,6,77,10,7,35,95,66,63,6,82,69,46,12,53,44,62,5,80,41,7,20,11,26,40,21,22,48,20,42,68,34,36,15}

{48,51,19,91,85,58,78,48,96,82,44,55,72,40,70,89,43,81,70,62,29,91,51,84,59,78,97,71,75,39,51,89,79,69,66,63,56,94,93,59,92,72,78,90,93,17,85,80,42,87,86,22,69,92,68,55,87,81,64,54,41,93,75,62,72,81,22,93,85,73,18,82,69,81,18,94,70,93,18,90,94,95,81,77,94,56,97,40,78,32,16,85,85,95,70,83,23,59,90,85,78,83,14,16,19,89,57,37,49,62,42,31,91,47,63,5,27,80,51,47,40,75,92,69,58,97,95,69,51,80,63,48,61,83,58,64,56,79,96,76,44,91,90,86,87,53,95,43,25,36,88,57,78,4,96,59,64,97,85,28,66,39,43,27,95,54,63,40,33,18,30,23,90,92,59,82,74,93,54,45,66,69,33,42,68,80,11,93,74,48,52,34,92,72,45,76,90,54,73,80,97,92,96,38,81,53,85,94,79,86,66,58,95,82,96,51,40,18,14,88,95,86,75,68,59,96,54,40,44,93,33,84,77,74,55,83,35,30,71,83,71,44,29,84,88,97,38,49,32,50,42,28,94,33,27,75,57,67,47,34,96,30,79,94,97,34,75,91,95,1,92,62,55,87,23,25,42,95,66,74,69,59,83,70,78,86,89,66,51,96,59,90,74,21,37,21,76,57,78,91,70,97,31,82,82,97,94,87,93,71,82,41,64,84,43,51,82,78,81,65,70,52,97,81,47,61,44,91,66,83,73,14,45,29,84,65,70,59,80,89,41,67,96,93,75,93,41,72,20,93,77,83,90,95,84,97,3,77,94,48,57,29,97,2,51,83,33,55,36,33,47,80,68,79,10,75,53,96,79,41,68,61,89,17,45,59,95,70,59,63,17,90,81,80,53,64,94,76,58,75,56,84,62,88,91,91,46,94,91,51,78,40,37,64,31,72,67,94,29,16,95,6,93,39,82,61,97,73,44,94,88,33,71,18,73,49,60,63,53,89,86,51,95,15,21,84,96,94,71,63,52,72,70,79,95,92,64,35,76,53,47,94,16,46,41,63,93,43,97,53,67,43,48,75,22,53,60,90,64,94,13,95,78,87,96,96,70,90,85,93,97,90,96,89,69,48,64,58,96,75,97,66,87,24,21,95,88,43,78,49,50,90,75,70,35,59,54,69,96,81,93,33,74,71,79,90,90,83,96,29,33,72,58,55,60,56,56,75,36,51,68,44,61,80,85,92,43,44,36,72,56,88,57,46,59,81,78,71,87,89,58,92,87,35,68,92,95,75,31,52,86,74,37,55,92,17,55,19,61,83,73,75,95,88,60,60,60,31,41,73,75,86,84,58,51,34,87,34,30,50,77,9,75,81,90,74,55,70,84,94,88,78,87,70,85,18,31,25,81,88,88,49,72,62,61,97,62,95,94,12,68,46,89,85,41,36,66,51,68,8,80,80,71,62,97,81,15,53,60,86,68,61,69,48,47,51,85,83,83,93,71,75,70,79,82,87,70,87,96,57,29,18,76,69,91,61,49,55,49,49,83,69,48,97,9,45,92,96,86,79,74,97,69,87,82,64,89,37,93,79,72,94,65,54,45,59,90,69,47,92,53,78,93,26,28,69,71,50,53,34,49,61,36,47,77,65,20,91,70,82,25,97,93,47,86,79,82,63,97,95,11,84,85,26,33,67,27,84,95,94,7,86,83,40,95,46,97,86,97,87,97,81,73,14,97,90,63,36,86,96,27,97,69,44,73,78,67,54,41,49,79,63,60,88}

Returns: {0, 1, 5, 88, 3, 55, 1, 22, 1, 11, 1, 11, 3, 44, 1, 22, 5, 44, 6, 55, 67, 330, 3, 22, 2, 33, 1, 11, 4, 33, 3, 22, 15, 88, 3, 22, 2, 11, 5, 33, 2, 11, 7, 33, 5, 22, 5, 22, 9, 55, 5, 18, 3, 22, 12, 55, 2273, 5940, 3, 11, 65, 198, 3, 11, 25, 66, 7, 22, 193, 660, 4, 11, 3, 10, 85, 198, 13, 55, 37, 110, 9, 22, 577, 1485, 25, 54, 137, 330, 21, 55, 5, 11, 4871, 8910, 1, 2, 31, 66, 325, 594, 2879, 5940, 769, 1188, 95, 198, 51, 110, 35, 66, 157, 264, 115, 198, 125, 198, 13, 22, 6, 11, 1633, 2640, 91, 132, 13, 22, 7, 11, 20831, 35640, 237, 352, 133, 176, 15, 22, 74, 99, 8, 11, 1303, 1584, 17, 22, 217, 264, 6097, 8910, 63, 88, 69, 88, 65, 88, 255, 352, 9, 11, 37, 44, 29, 36, 79, 88, 39, 44, 13, 16, 10, 11, 469, 528, 19, 22, 79, 88, 10, 11, 10, 11, 10, 11, 47, 54, 21, 22, 21, 22, 81, 88, 21, 22, 101, 108, 1, 1 }
95

{27,31,34,15,53,68,23,34,25,4,5,24,50,47,42,75,17,7,59,80,2,52,14,56,39,55,4,51,9,29,31,39,21,68,27,7,16,38,32,14,49,3,35,6,57,20,15,18,9,2,63,65,53,56,3,0,32,3,0,7,3,28,26,66,24,10,2,74,48,1,55,2,9,33,75,71,84,53,28,77,58,31,58,63,53,7,33,23,29,49,38,29,7,25,14,18,57,63,32,49,33,26,51,1,28,12,42,1,36,1,29,52,47,21,34,40,41,5,27,5,6,25,7,18,72,54,21,60,10,84,37,8,17,11,4,65,42,49,45,42,44,28,44,27,41,37,86,31,23,41,51,14,12,16,33,1,11,16,0,45,62,36,3,41,19,46,38,47,59,37,65,51,24,6,39,31,0,65,20,4,34,54,5,62,35,13,21,48,9,19,29,49,5,60,23,29,2,42,21,37,90,4,27,18,38,19,0,18,11,48,76,15,65,11,0,23,23,43,36,55,48,37,45,23,5,27,46,17,30,22,14,65,36,13,53,17,45,13,26,22,38,39,43,50,30,31,62,41,81,3,77,1,56,6,54,53,79,40,18,22,47,4,5,9,26,51,17,2,9,58,52,49,2,37,37,86,18,6,56,15,68,0,19,18,13,55,2,64,14,44,2,2,8,37,58,54,13,52,48,18,18,7,62,2,28,39,12,19,0,46,82,60,72,27,64,15,27,8,25,46,25,11,39,29,18,13,60,75,13,18,6,41,1,7,78,29,81,49,19,40,74,48,39,13,25,12,50,27,25,24,0,14,35,14,76,2,9,60,63,10,12,24,27,32,10,14,2,59,10,58,26,24,17,66,42,47,26,18,5,63,11,5,12,64,22,50,5,52,54,32,14,24,17,14,11,13,5,42,48,17,4,31,42,36,78,7,63,27,28,78,18,35,20,0,51,33,41,25,32,19,31,56,7,4,23,13,70,79,13,1,33,30,46,41,50,67,38,12,33,1,19,48,3,8,0,14,16,63,7,9,43,21,68,31,9,34,44,52,44,9,57,55,16,12,16,15,24,45,0,51,47,30,26,3,75,48,17,26,57,38,29,58,37,20,9,67,83,7,14,30,21,41,27,38,13,72,31,48,15,13,20,37,41,19,26,57,13,35,8,63,25,12,11,44,21,22,10,9,26,12,26,21,20,26,15,1,16,52,62,48,79,13,31,33,24,65,8,13,44,28,13,8,20,21,6,79,50,43,6,36,56,7,27,24,44,21,27,7,12,14,77,61,37,5,29,87,7,72,39,3,13,69,33,36,36,33,2,3,21,4,38,45,14,26,30,33,10,46,89,3,66,3,0,50,22,34,21,2,6,0,48,43,2,66,18,38,64,13,35,45,45,57,41,0,0,29,7,46,27,3,21,11,41,13,54,4,16,23,45,93,68,8,13,42,30,3,17,45,11,6,23,21,46,21,64,34,6,10,58,36,15,4,51,38,10,82,17,56,5,13,88,91,13,43,6,29,22,43,7,24,44,25,40,13,45,18,13,9,75,11,20,43,47,46,92,34,19,53,56,8,0,24,27,44,51,22,12,29,38,11,78,32,73,28,11,43,82,68,25,22,19,9,31,38,2,14,67,24,25,12,13,36,61,26,16,6,18,60,0,72,22,43,55,71,33,37,40,51,33,58,70,5,60,85,59,4,12,16,77,7,13,16,43,3,16,21,4,60,4,46,25,15,10,22,19,28,10}

{74,53,83,56,56,94,64,90,49,11,49,33,82,63,53,92,26,22,79,93,59,61,21,60,74,72,25,60,16,74,53,67,72,69,29,35,20,49,62,34,90,55,49,75,84,52,71,22,77,91,75,76,65,63,11,69,64,83,12,49,63,79,77,74,89,16,69,93,55,65,67,9,20,42,83,78,89,58,41,87,67,62,67,78,73,50,54,87,68,55,77,31,11,39,32,28,93,73,38,60,70,42,58,77,90,86,44,79,70,73,67,88,56,51,68,78,72,88,30,10,66,35,22,46,89,56,85,61,54,86,72,86,64,18,35,90,49,80,70,83,66,76,91,36,91,61,88,75,79,44,79,58,57,62,49,16,43,85,13,78,86,51,41,77,50,84,46,90,75,71,91,70,32,61,89,54,2,92,50,46,44,69,34,73,46,21,30,91,39,42,89,85,41,91,89,58,42,46,94,86,94,93,71,29,90,91,19,54,76,60,94,65,69,32,20,25,92,87,59,76,74,65,53,70,40,57,55,30,63,71,65,71,85,62,80,69,59,79,35,76,93,52,53,87,81,50,67,70,91,30,83,62,71,15,63,70,89,74,83,29,88,32,25,17,76,78,75,22,61,71,91,75,30,72,78,92,85,8,90,16,80,42,93,85,79,89,88,93,94,49,37,87,74,70,83,73,83,68,71,94,80,51,69,66,37,48,61,66,76,58,86,86,82,44,80,53,71,28,80,49,62,31,75,31,33,45,69,91,72,67,43,89,64,31,86,57,84,74,75,79,87,53,87,41,37,18,70,67,40,54,90,24,60,72,79,37,14,66,76,85,45,55,41,58,42,66,75,73,14,91,39,52,58,77,83,81,45,75,20,77,57,79,29,80,46,74,43,71,89,35,28,32,32,81,57,24,30,61,72,44,53,43,90,47,82,59,65,82,79,80,85,61,65,44,77,42,78,70,73,79,75,92,65,26,58,29,77,92,26,49,64,41,58,84,91,89,72,15,88,22,65,66,85,73,41,58,45,76,88,38,50,48,77,70,82,46,79,66,66,84,80,76,87,71,25,75,76,60,59,82,69,66,87,51,86,90,31,83,87,91,32,77,72,38,32,72,86,85,72,41,52,81,46,42,57,78,37,71,31,50,57,71,85,76,27,59,67,38,26,68,71,27,71,88,68,25,79,16,68,81,49,54,75,47,36,26,20,72,65,83,91,51,72,60,83,78,14,90,81,91,60,12,88,57,69,92,57,87,83,92,78,88,46,38,47,78,71,41,22,64,83,77,83,28,80,94,93,78,57,74,88,94,39,49,86,71,84,9,54,40,77,73,33,57,38,89,51,93,94,9,77,22,1,59,81,86,46,12,23,76,89,72,3,78,86,47,89,57,56,83,71,92,51,7,4,34,52,61,29,37,87,51,51,17,63,62,25,93,66,94,88,25,47,46,37,53,31,50,55,88,41,38,64,23,88,42,90,74,66,68,45,40,70,71,40,90,46,81,56,18,94,93,16,75,41,93,89,45,69,82,45,55,67,52,58,50,43,37,87,66,45,57,55,69,94,47,29,64,86,61,6,39,44,82,63,82,48,75,48,14,87,51,94,67,29,91,92,83,47,31,71,72,41,67,93,76,71,42,60,20,86,90,69,39,27,45,42,63,5,90,90,78,90,79,37,57,94,83,89,65,90,35,80,94,85,28,56,22,91,12,77,85,92,69,52,65,80,89,21,48,81,84,31,76,40,59,44}

Returns: {0, 1, 5, 48, 1, 24, 1, 12, 19, 288, 13, 216, 1, 24, 1, 16, 1, 12, 1, 8, 13, 108, 19, 144, 1, 8, 1, 12, 13, 72, 1, 6, 5, 24, 1, 6, 55, 288, 7, 48, 5, 16, 11, 48, 1, 4, 5, 18, 37, 144, 47, 144, 5, 24, 1, 4, 179, 576, 7, 24, 1, 3, 13, 36, 1, 3, 19, 54, 3, 8, 3, 8, 227, 576, 743, 1440, 5, 12, 193, 432, 149, 288, 31, 72, 11, 24, 65, 144, 1, 2, 13, 24, 1, 2, 9, 16, 13, 24, 41, 72, 97, 160, 155, 288, 1025, 1728, 7, 12, 71, 144, 23, 36, 5, 8, 161, 240, 31, 48, 353, 480, 2, 3, 71, 96, 77, 144, 17, 24, 59, 80, 3, 4, 71, 96, 17, 24, 73, 96, 169, 192, 227, 320, 19, 24, 37, 48, 833, 960, 53, 64, 4, 5, 4, 5, 13, 16, 5, 6, 17, 20, 107, 120, 13, 18, 7, 8, 83, 96, 59, 72, 833, 960, 11, 12, 11, 12, 23, 24, 37, 40, 15, 16, 9, 10, 23, 24, 19, 20, 1, 1 }
83

{14,16,31,8,11,32,47,30,58,7,49,2,34,53,11,7,17,22,65,16,6,52,31,8,32,6,4,68,22,5,28,13,1,23,16,24,19,34,46,27,3,15,5,57,47,31,8,31,31,21,14,13,20,14,39,22,28,16,33,62,38,4,25,1,3,2,15,7,22,28,23,30,9,12,5,44,2,0,8,29,12,36,1,2,16,27,3,9,11,36,9,62,47,14,50,33,0,14,36,10,10,36,7,3,32,50,19,30,21,21,36,32,0,25,7,37,66,34,23,14,15,37,5,67,52,45,7,21,70,24,30,18,16,4,12,6,53,0,26,12,25,29,35,60,36,22,41,6,0,26,38,11,2,1,3,38,4,40,53,40,3,20,26,4,13,27,14,10,0,38,59,8,71,56,24,25,6,15,70,6,39,31,0,21,47,8,14,19,27,36,21,47,11,2,12,65,6,6,0,21,10,13,44,54,11,62,19,50,63,12,16,19,14,27,20,81,37,14,39,47,27,10,54,46,20,11,4,70,60,47,7,20,1,20,32,5,32,14,2,20,10,11,13,34,1,16,29,8,75,30,27,23,46,7,26,63,11,29,12,0,15,70,13,21,72,3,19,72,19,30,5,7,19,35,36,17,60,12,17,41,13,17,48,56,37,41,51,15,24,27,37,50,16,5,34,0,42,34,56,20,33,8,70,50,15,8,2,1,20,14,36,5,27,28,29,56,19,41,71,78,9,3,35,60,4,0,51,8,11,18,22,68,23,50,12,44,29,29,36,6,4,37,60,74,39,0,7,26,0,19,28,68,11,10,14,12,31,5,5,4,5,3,37,18,10,18,9,4,12,34,40,11,39,10,0,9,12,34,33,70,19,55,12,45,56,9,29,22,50,11,9,21,23,4,44,35,60,26,31,13,5,52,3,49,0,48,11,3,8,2,53,49,63,19,0,43,60,49,1,31,1,25,27,59,63,17,2,0,56,9,14,52,60,23,4,58,6,59,67,33,4,51,0,15,77,3,10,24,62,37,37,2,25,5,64,41,6,3,6,57,4,24,11,9,8,4,3,25,3,60,9,35,3,17,21,8,54,2,33,8,18,14,6,23,20,20,19,29,46,9,27,23,0,29,76,2,31,22,23,13,24,10,32,10,44,39,1,55,13,10,6,20,40,63,5,9,60,0,3,0,7,6,12,32,10,1,44,0,55,6,41,25,75,43,25,9,11,47,4,18,38,15,2,28,54,26,12,32,23,7,8,37,4,56,51,33,76,55,23,44,5,11,0,14,0,35,7,14,56,25,1,25,60,19,1,48,28,19,12,27,3,17,13,36,35,16,59,26,17,23,56,22,42,3,49,20,1,8,32,27,26,24,13,35,30,28,36,30,40,66,53,40,33,58,14,36,18,61,3,8,80,16,5,40,5,25,52,8,5,0,17,48,6,36,26,46,27,2,13,40,8,73,1,60,79,18,45,3,49,53,28,57,73,35,39,59,9,9,53,22,31,36,0,57,58,10,52,32,18,39,34,7,48,54,9,29,5,7,50,44,22,40,22,6,16,12,68,6,30,21,21,33,3,25,25,66,15,49,36,18,42,37,30,58,35,14,53,9,0,7,16,0,23,10,23,0,44,46,51,6,16,4,7,8,0,1,6,23,2,35,31,13,7,17,24,3,3,19,55,0,1,67,28,12,33,17,43,29,15,0,7,32,35,20,25,34,51,0,59,40,29,10,1,16,64,69,77,18,16,11,24,21,14,25,26,32,29,15,40,35,2,19,1,22,9,0,63,3,61,17,5,24,28,47,0,6,54,16,9,18,10,8,29,55,20,48,22,37,0,33,4,39,10,60,46,0,64,12,59,74,59,20,50,59,45}

{24,20,74,49,32,50,62,32,67,63,73,3,77,70,69,72,67,52,80,56,63,78,70,77,74,81,31,80,39,46,51,64,61,63,38,28,82,49,53,40,64,65,72,63,48,79,11,34,57,70,46,27,31,29,48,65,71,34,53,70,67,64,60,81,35,9,44,79,73,80,46,65,11,53,63,79,60,2,81,45,72,63,15,70,54,37,55,31,71,39,20,76,74,50,58,50,39,19,38,50,33,79,65,28,63,77,44,54,62,54,52,71,4,71,50,72,82,80,67,43,22,49,13,69,59,75,13,39,80,76,82,27,33,69,61,35,80,26,76,39,37,70,50,82,41,28,58,67,50,62,51,58,20,38,75,65,43,72,59,74,40,49,60,70,20,53,37,43,26,54,82,53,82,71,81,45,29,64,74,46,50,67,12,28,67,22,64,44,52,72,65,48,28,12,48,76,7,16,61,50,59,69,46,68,70,67,29,67,79,66,72,82,72,73,70,82,56,78,71,59,62,34,70,62,21,42,31,80,76,68,64,61,9,72,60,48,71,28,67,80,26,65,36,80,28,65,36,69,81,81,45,58,76,36,71,67,65,70,26,82,25,80,25,57,79,6,37,81,74,55,68,74,27,67,66,34,62,76,19,46,41,51,64,77,55,68,80,76,58,52,51,58,37,28,70,34,76,67,65,21,70,35,82,75,52,36,80,43,72,22,80,64,58,45,36,77,76,78,77,82,73,17,40,73,42,10,61,22,76,47,68,78,64,72,54,67,49,77,38,82,37,42,61,82,71,57,70,55,54,40,63,77,12,69,25,68,57,72,57,11,27,15,70,77,78,64,32,63,18,66,49,26,79,43,1,61,60,66,41,76,69,65,69,75,77,16,71,45,65,14,59,27,52,63,69,61,77,55,43,38,17,60,58,53,43,66,31,67,76,58,73,58,72,27,55,55,69,64,43,56,29,49,60,72,78,25,37,61,64,46,74,73,76,40,21,65,13,65,70,59,63,61,59,58,80,82,66,71,69,58,71,28,62,69,66,67,59,26,11,78,20,42,22,43,12,47,16,53,35,71,72,48,78,30,33,71,72,58,75,73,45,68,53,72,51,41,66,57,50,80,47,31,18,41,79,57,32,67,36,46,38,79,72,64,58,50,23,82,30,73,14,50,76,71,9,51,65,62,9,7,38,24,14,53,21,11,82,44,78,35,43,50,77,51,81,35,24,48,71,30,59,50,29,34,82,45,61,43,79,47,80,62,50,64,76,72,78,66,51,63,65,62,61,55,5,59,81,65,64,39,76,76,67,67,66,53,51,28,19,62,20,71,77,52,41,72,64,69,41,67,82,76,48,65,72,52,72,17,68,70,75,37,24,50,53,42,41,34,65,71,54,48,46,61,70,79,71,65,33,42,82,32,67,78,72,29,77,40,75,6,18,65,59,78,33,56,45,64,22,75,47,79,46,76,82,77,54,40,79,65,38,72,77,47,71,64,36,30,69,39,65,40,35,62,78,50,59,79,51,46,78,79,73,71,20,51,42,26,54,51,68,56,26,75,28,45,70,57,33,51,65,50,14,73,63,82,64,79,40,60,47,81,72,75,50,19,74,68,61,21,78,8,48,78,60,20,62,72,61,72,53,17,47,24,69,60,46,40,28,55,77,66,71,21,69,71,79,28,72,47,81,71,56,36,79,59,65,49,55,42,78,46,59,73,60,60,73,28,66,69,79,39,16,78,78,82,79,61,72,78,27,36,23,47,30,35,41,50,59,45,17,41,77,23,31,17,74,52,76,76,26,36,73,54,66,48,72,37,41,79,40,38,80,75,61,61,73,70,57,58,43,45,11,78,61,42,74,44,75,81,68,74,74,78,49}

Returns: {0, 1, 1, 14, 1, 21, 2, 21, 2, 21, 1, 14, 1, 7, 11, 56, 2, 21, 1, 7, 2, 21, 4, 21, 5, 21, 1, 4, 2, 7, 3, 14, 25, 112, 47, 224, 109, 336, 12, 35, 17, 56, 5, 14, 1, 3, 8, 21, 39, 112, 12, 35, 8, 21, 23, 56, 7, 16, 2, 5, 3, 7, 3, 7, 10, 21, 1, 2, 355, 672, 11, 21, 16, 35, 13, 28, 1289, 2205, 18, 35, 4, 7, 4, 7, 29, 56, 283, 441, 101, 210, 4, 7, 13, 21, 4, 7, 13, 21, 13, 21, 33, 49, 314, 441, 1583, 2940, 2, 3, 107, 147, 320, 441, 29, 42, 241, 441, 107, 147, 5, 7, 911, 1470, 115, 147, 687, 980, 293, 441, 16, 21, 41, 49, 17, 21, 115, 147, 115, 147, 131, 147, 41, 49, 6, 7, 41, 49, 713, 882, 131, 147, 40, 49, 131, 147, 19, 21, 139, 147, 20, 21, 20, 21, 139, 147, 1, 1 }
78

{7,21,3,13,42,42,5,4,9,64,4,21,3,38,3,28,36,37,14,32,35,4,19,51,25,25,11,0,1,53,36,53,29,31,41,31,42,0,10,19,4,53,27,30,21,60,20,47,63,53,40,8,9,59,11,40,8,19,2,3,12,16,4,15,29,4,65,16,32,34,13,48,11,0,22,33,13,3,12,53,21,18,28,50,33,48,31,13,6,8,32,21,3,22,21,55,7,25,4,27,58,47,23,38,31,11,43,55,25,24,12,18,60,49,34,32,24,26,25,19,0,26,38,22,9,4,22,16,5,28,21,37,27,41,33,29,4,13,14,63,33,27,57,39,28,12,17,13,48,15,34,5,9,10,49,43,0,20,3,48,13,15,18,14,56,6,6,52,3,64,15,39,18,3,4,23,33,61,10,42,66,60,4,6,29,15,4,23,69,50,47,11,60,3,6,17,41,15,15,3,32,22,4,64,36,24,55,12,20,2,0,39,0,4,8,21,21,2,3,30,16,28,3,20,6,20,7,7,50,4,12,66,10,26,21,8,9,20,48,18,25,29,49,21,5,42,7,27,0,47,20,38,70,63,1,57,53,3,10,27,29,9,30,21,3,35,5,3,31,19,18,48,58,9,19,24,28,23,15,14,43,5,14,23,7,38,60,1,43,26,38,19,0,6,6,36,31,32,35,5,16,31,16,66,21,55,76,20,11,53,15,14,10,26,23,13,32,37,54,29,21,27,54,43,12,14,56,42,21,30,21,15,7,37,41,5,5,27,8,39,43,54,16,4,28,3,30,13,2,33,56,0,49,4,10,55,41,30,70,30,37,44,39,60,37,31,23,20,13,14,48,44,18,9,28,49,20,56,21,31,18,36,41,17,18,21,48,15,2,29,47,20,52,6,25,20,9,34,66,59,50,28,5,50,49,28,1,29,11,24,64,46,4,12,68,18,3,64,16,53,8,11,32,15,40,14,62,0,1,29,26,0,49,17,30,52,5,22,17,43,21,40,34,0,30,7,21,19,21,16,11,3,48,19,5,31,14,19,15,13,73,0,48,13,12,27,62,6,38,16,46,1,8,67,13,15,12,43,5,40,12,5,75,55,18,39,22,32,4,64,40,0,16,46,22,31,21,0,13,6,11,34,4,18,20,15,31,22,50,36,27,22,26,0,36,28,22,53,34,11,13,11,45,43,32,31,7,5,1,13,28,0,23,58,8,66,22,20,52,32,4,12,29,24,18,14,48,43,58,27,64,48,8,11,40,34,53,6,17,52,21,50,43,8,28,16,58,7,51,55,25,10,34,0,55,63,23,24,32,27,10,44,1,33,0,9,24,18,37,14,1,26,32,37,57,42,29,8,4,1,22,14,1,5,12,9,19,30,12,20,42,26,30,45,3,4,2,1,42,45,0,22,27,11,32,28,0,35,13,66,12,30,65,43,13,24,68,18,7,53,1,61,23,47,25,1,38,21,0,54,12,16,11,27,7,3,47,5,28,13,47,13,10,19,0,23,35,8,47,11,34,13,50,8,47,7,32,34,33,1,0,25,22,25,30,23,16,23,27,18,23,6,74,62,3,5,29,2,0,4,45,58,3,3,4,11,13,54,30,4,22,14,63,1,0,7,24,9,50,2,47,61,14,56,9,22,57,34,10,10,0,18,64,60,47,30,12,8,12,4,45,6,21,11,24,57,7,66,47,26,35,20,41,23,18,44,1,38,72,71,22,28,46,9,10,7,16,49,27,52,36,4,16,12,26,51,41,4,17,41,17,30,20,26,65,40,38,47,4,13,17,15,8,40,5,31,32,42,20,67,47,43,18,0,32,14,4,3,24,21,31,40,27,30,3,41,22,16,26,2,23,14,17,14,12,33,22,49,55,3,11,32,59,19,4,33,16,8,7,6,0,18,30,52,40,34,7,18,25,61,27,49,22,14,3,16,10,19,20,45,1,49,62,25,31,17,5,47,8,9,30,52,60,10,54,53,7,16,18,8,64,51,17,0,31,6,15,65,29,65,16,14,1,19,4,28,33,13,8,0,16,8,20}

{39,41,14,43,46,48,25,71,24,66,10,46,24,71,72,66,57,61,25,45,51,73,26,72,45,48,14,76,18,60,54,74,61,35,50,64,75,39,44,29,49,61,53,56,33,67,31,63,77,67,56,29,32,64,27,51,74,41,17,51,14,64,17,62,63,46,72,34,48,66,27,73,54,36,47,51,52,50,31,54,63,20,43,61,77,58,72,52,43,18,45,65,42,49,44,77,77,55,77,61,71,65,39,62,70,59,75,60,69,31,29,68,63,76,63,72,65,35,58,33,45,43,57,24,48,76,57,73,70,30,41,60,51,74,44,55,55,51,56,73,69,49,69,60,48,16,37,54,54,74,68,63,50,52,71,74,9,70,75,58,18,35,54,61,67,22,9,65,56,75,60,41,57,15,15,42,68,77,13,76,71,61,74,33,54,72,46,74,72,74,57,62,67,32,67,72,53,70,38,40,57,40,36,71,52,54,75,58,43,26,12,71,64,42,28,52,52,31,71,51,62,72,35,33,48,75,56,42,55,46,44,70,60,77,67,37,67,75,56,56,69,68,64,72,52,51,48,29,38,77,59,61,72,76,75,62,66,7,58,32,69,31,46,51,38,62,15,74,73,38,77,57,63,14,57,51,54,38,71,73,75,20,72,46,67,59,69,72,47,63,70,32,33,68,67,40,37,43,55,71,40,48,31,75,28,75,77,44,72,71,39,69,39,28,36,48,36,39,69,57,62,60,64,69,76,43,62,56,47,55,68,77,72,42,71,30,74,39,69,47,58,59,19,65,62,76,31,74,11,67,70,3,69,51,35,61,67,73,76,67,65,64,61,67,42,58,65,26,17,70,69,68,49,17,68,53,52,68,72,63,65,50,72,55,48,49,56,34,65,44,73,48,54,44,34,36,74,66,73,76,55,47,25,77,64,73,65,39,24,71,72,49,10,32,74,44,26,68,34,62,47,72,43,43,43,49,75,14,14,67,51,1,51,33,34,71,76,29,18,67,69,70,40,14,48,71,72,48,49,70,28,7,70,67,33,53,30,49,68,43,77,28,60,66,65,34,76,36,41,40,69,47,27,74,50,68,25,48,18,53,21,26,77,72,71,74,41,48,31,68,43,44,23,56,55,46,27,64,64,68,41,48,13,56,32,67,75,29,57,73,56,43,52,72,50,29,63,74,62,73,47,42,68,48,40,34,15,49,76,71,71,38,31,73,11,73,31,43,54,65,6,67,52,51,45,20,64,50,75,34,77,76,60,76,60,77,60,71,45,73,32,67,52,18,33,64,66,32,55,72,32,74,65,53,74,72,24,61,35,37,43,62,39,62,2,65,64,23,38,29,40,40,46,62,62,55,61,63,17,70,68,31,27,60,36,59,69,51,22,40,54,64,71,72,61,21,64,40,54,65,6,27,36,57,72,56,39,62,71,74,36,31,77,63,33,58,75,23,54,56,52,74,66,69,66,70,64,39,77,60,40,55,64,33,67,25,77,8,66,37,76,18,44,45,30,53,59,9,72,41,69,73,56,76,54,63,77,37,59,16,4,29,36,35,68,50,45,35,59,26,51,25,75,76,60,47,66,72,25,40,62,73,20,26,72,64,54,73,39,48,64,65,71,35,40,31,63,27,53,52,75,66,53,61,70,38,71,41,75,37,38,34,77,67,62,59,29,68,59,29,64,41,52,32,43,63,17,68,56,36,60,73,63,26,32,66,30,56,74,76,24,57,65,17,40,21,50,57,77,60,47,50,68,24,57,64,42,23,46,54,36,73,68,36,72,54,64,63,50,32,74,32,25,64,55,76,64,63,23,74,71,45,35,5,45,61,52,61,49,54,46,63,51,38,29,72,47,66,51,30,25,53,62,39,36,59,44,72,63,70,67,54,64,71,59,62,34,10,26,46,15,53,53,68,71,65,77,62,42,71,46,61,43,18,73,28,67,30,39,63,38,53,64,39,56,62,43,53,10,54,32,54,73,35,65,61,48,68,51,19,72,61,49,20,37,9,39,67,71,72,33,50,67,28,57,30,62,67,66,67,42,73,74}

Returns: {0, 1, 9, 116, 17, 290, 5, 87, 6, 145, 1, 29, 12, 145, 10, 87, 2, 29, 18, 145, 3, 29, 17, 145, 9, 116, 4, 29, 24, 145, 95, 348, 9, 58, 5, 29, 6, 29, 27, 116, 7, 29, 115, 522, 533, 2610, 8, 29, 10, 29, 41, 116, 9, 29, 85, 261, 10, 29, 101, 232, 11, 29, 12, 29, 25, 58, 14, 29, 13, 29, 65, 116, 14, 29, 14, 29, 15, 29, 15, 29, 31, 58, 16, 29, 17, 29, 17, 29, 18, 29, 39, 58, 18, 29, 37, 58, 75, 116, 19, 29, 37, 58, 20, 29, 19, 29, 20, 29, 21, 29, 21, 29, 21, 29, 41, 58, 511, 696, 22, 29, 22, 29, 23, 29, 22, 29, 143, 174, 23, 29, 23, 29, 24, 29, 25, 29, 51, 58, 24, 29, 25, 29, 77, 87, 26, 29, 53, 58, 27, 29, 28, 29, 82, 87, 1, 1 }
100

{54,46,19,74,28,18,27,75,22,73,17,56,44,11,12,0,35,25,37,40,52,58,58,26,35,43,67,75,31,58,6,6,4,30,4,53,24,21,33,28,50,73,5,19,91,53,3,20,48,36,43,29,77,39,54,0,11,70,32,13,75,5,56,14,76,8,44,86,45,81,66,45,80,11,25,54,19,22,11,29,55,4,62,8,8,6,20,73,28,24,0,47,13,48,1,70,9,2,30,2,9,15,62,34,11,23,53,63,0,19,77,46,34,81,83,37,12,59,22,0,64,27,35,66,53,73,13,19,44,20,16,32,11,0,24,21,0,28,95,29,30,19,55,29,0,35,2,20,8,63,15,7,7,19,18,64,32,28,12,4,33,53,61,11,27,15,98,20,22,16,59,89,78,22,3,27,9,28,44,36,45,58,47,13,58,9,53,66,46,8,1,41,17,13,23,12,0,37,5,38,26,32,51,3,93,4,73,82,12,63,54,65,5,54,39,49,79,2,39,8,51,23,44,53,1,21,28,30,25,65,58,59,25,68,8,31,63,18,16,28,52,66,34,66,54,10,35,46,93,65,15,6,20,17,23,96,80,3,0,8,25,88,12,63,0,23,38,8,34,61,48,11,24,80,23,7,43,22,3,49,4,8,62,40,10,26,26,21,2,17,3,22,23,5,31,2,28,19,68,71,67,1,84,48,69,43,30,89,24,13,10,33,35,1,24,37,0,36,13,46,61,32,49,24,18,48,28,21,1,13,1,9,51,8,60,2,48,78,89,33,4,66,11,42,70,23,7,85,29,6,34,17,46,72,20,7,8,82,54,2,9,19,25,4,68,61,59,24,4,61,12,33,10,10,88,11,0,35,63,48,18,22,33,37,94,34,8,15,33,49,34,32,2,24,40,89,18,22,7,8,11,73,1,37,33,57,35,15,18,47,97,10,16,32,41,54,15,41,8,8,18,4,6,55,6,26,49,16,11,44,82,16,20,22,15,16,59,77,57,42,24,7,70,11,40,0,3,14,5,15,1,18,36,4,0,1,1,41,11,3,14,46,78,28,6,51,1,6,54,5,59,90,47,3,76,68,51,7,49,49,25,43,37,12,42,44,82,40,56,4,27,15,6,22,22,36,31,5,38,24,2,26,24,89,22,31,18,2,35,34,50,15,33,6,1,35,16,45,75,23,0,45,91,51,5,26,36,0,20,48,8,6,2,59,53,10,79,58,29,63,13,49,29,70,19,93,24,31,33,43,34,6,5,55,39,2,39,22,54,28,67,19,47,48,35,24,7,2,58,59,14,19,81,1,8,15,12,23,60,45,42,49,56,2,38,10,0,82,6,4,43,56,66,23,23,21,15,28,33,6,16,31,27,18,2,0,19,16,2,17,11,20,33,9,76,7,32,34,33,58,23,0,1,23,92,46,9,6,75,79,16,3,0,20,55,65,9,36,18,6,17,1,60,6,34,41,50,22,33,32,24,25,3,77,87,45,17,51,3,22,14,4,0,33,66,27,67,61,28,13,12,33,21,82,35,4,56,0,64,44,19,49,81,32,58,0,16,52,5,52,45,4,42,7,66,36,40,23,45,56,28,0,33,3,43,68,46,30,76,11,5,62,35,8,2,24,23,16,0,6,3,42,14,23,27,6,23,48,52,23,23,26}

{57,70,31,99,98,87,50,78,71,89,52,82,97,74,77,9,58,85,91,60,77,92,63,71,70,84,77,80,92,92,50,73,39,69,41,98,38,74,39,53,78,95,34,33,96,77,74,95,55,42,86,64,89,57,92,27,13,87,90,82,99,7,87,33,99,58,61,99,55,88,74,53,89,23,43,86,88,31,44,36,73,24,82,62,50,39,86,91,96,35,22,53,44,68,30,99,62,63,76,33,90,81,93,39,54,53,82,91,88,23,82,59,72,94,96,52,29,81,45,49,72,50,82,88,86,97,32,38,93,31,80,72,26,53,47,98,5,41,99,42,88,97,66,30,4,61,15,36,14,76,34,73,54,70,68,69,52,67,79,64,50,66,89,87,81,90,99,75,91,68,69,96,87,79,88,67,33,48,94,63,47,76,66,51,64,65,59,75,87,48,17,88,45,88,88,52,62,60,19,40,54,36,92,43,98,51,87,92,67,77,76,73,65,74,61,72,82,54,96,11,78,24,56,62,19,29,69,45,46,98,90,72,47,89,34,97,74,79,91,51,85,92,74,74,56,19,44,82,96,97,86,51,91,91,91,99,81,64,93,60,45,97,99,66,33,79,76,40,89,77,52,24,88,84,93,61,57,50,62,86,88,48,88,49,88,82,79,41,34,35,12,95,90,21,85,28,46,57,88,99,82,3,97,64,76,90,46,93,64,24,91,79,86,40,33,64,41,44,41,64,66,45,89,26,84,71,99,23,2,84,85,77,86,54,93,74,58,81,90,54,15,72,90,69,72,48,53,86,32,72,61,29,52,98,87,75,11,97,61,59,28,81,46,96,73,90,98,76,52,68,49,72,84,20,89,43,28,36,84,66,36,23,51,50,98,88,16,23,50,56,58,69,38,60,72,92,82,58,32,81,72,97,74,78,44,78,42,66,51,78,99,50,60,60,53,59,49,53,98,46,39,99,26,78,64,41,68,65,76,69,90,84,57,49,71,59,97,90,69,90,72,58,75,25,84,32,90,57,63,50,92,80,73,35,33,95,99,49,87,15,38,68,99,69,51,93,17,73,99,94,81,99,90,54,85,84,95,68,51,60,65,69,65,97,64,55,85,67,84,61,56,45,83,58,45,50,98,47,39,83,87,93,75,95,45,35,50,72,69,46,80,82,61,44,2,65,95,97,82,44,18,54,95,91,37,40,68,46,25,70,72,26,74,99,83,19,96,67,70,66,43,84,92,85,31,95,52,55,95,55,40,64,61,69,40,14,75,57,85,92,88,72,82,58,82,76,91,92,59,99,49,24,95,67,91,20,49,30,94,65,82,69,69,64,43,93,6,90,81,80,84,92,79,98,24,58,65,88,57,86,92,45,68,37,94,1,78,68,20,74,72,79,43,42,80,57,96,54,67,92,98,18,8,48,99,60,50,91,77,87,34,61,16,40,91,86,30,84,37,79,82,64,72,25,88,70,89,44,56,43,63,90,60,93,99,97,94,78,90,59,46,31,96,75,98,42,80,67,46,20,94,79,69,86,78,90,83,13,88,79,85,88,93,81,78,72,72,91,90,91,63,47,51,34,88,74,88,55,53,75,87,10,55,14,63,92,48,63,92,58,7,63,96,67,57,29,78,71,60,78,77,99,47,82,70,11,81,79,71,88,60,44}

Returns: {0, 1, 1, 21, 2, 21, 2, 21, 1, 14, 4, 63, 1, 14, 2594, 15435, 2, 21, 19, 147, 4, 63, 1, 7, 4, 21, 4, 21, 1016, 5145, 1, 7, 2839, 15435, 1, 6, 1859, 10290, 8, 63, 257, 1029, 8, 63, 2, 21, 4, 21, 5, 21, 649, 2058, 20, 63, 1007, 4116, 38, 147, 2, 7, 1, 3, 106, 343, 1, 3, 514, 1715, 4208, 15435, 379, 1029, 440, 1029, 7529, 20580, 514, 1715, 1859, 5145, 2176, 5145, 25, 63, 1007, 2058, 127, 294, 167, 343, 8, 21, 19, 49, 3, 7, 65, 147, 831, 1715, 1175, 2058, 2477, 4116, 144, 245, 10, 21, 67, 147, 562, 1029, 562, 1029, 26, 49, 73, 147, 27, 49, 9886, 15435, 569, 1029, 11, 21, 4, 7, 27, 49, 2333, 4116, 13, 21, 652, 1029, 2687, 4116, 89, 147, 163, 294, 389, 490, 12293, 15435, 1549, 2058, 17, 21, 2, 3, 97, 147, 11, 15, 5, 7, 149, 210, 5, 7, 16, 21, 4, 5, 257, 343, 17, 21, 13, 15, 14, 15, 3607, 4116, 17, 21, 6, 7, 13, 14, 3509, 4116, 13, 14, 19, 21, 6, 7, 20, 21, 20, 21, 19, 21, 20, 21, 1, 1 }
87

{22,2,12,32,6,67,56,72,13,30,29,6,57,9,35,23,10,13,27,15,22,56,13,51,9,52,10,0,68,29,28,18,7,1,12,35,54,20,83,17,44,14,13,37,60,27,1,24,7,19,20,61,16,14,16,2,46,7,11,22,7,28,59,3,11,30,61,45,25,0,9,0,7,32,24,9,53,13,11,57,62,71,16,39,29,10,53,40,22,28,56,6,19,81,13,20,46,29,43,24,21,48,41,46,3,23,16,33,7,31,70,49,3,29,55,51,65,19,38,4,4,56,8,21,60,22,74,13,63,46,9,55,18,18,2,6,0,9,70,74,19,32,5,45,6,52,8,31,2,57,1,43,43,6,32,48,23,39,49,25,7,10,14,31,53,24,24,33,20,38,0,19,24,37,11,23,26,14,0,40,12,34,23,51,62,15,16,14,9,76,48,50,18,85,21,37,1,11,7,23,61,19,21,28,52,53,9,10,61,20,43,58,63,7,55,10,40,1,14,14,35,30,21,6,23,39,25,5,46,9,15,15,22,36,10,59,17,59,58,46,39,57,19,26,7,45,54,19,3,2,9,14,7,34,29,10,9,2,79,39,70,7,69,11,21,12,27,11,13,34,17,69,31,57,53,30,10,0,28,29,34,46,32,56,72,47,30,59,20,31,10,44,47,9,17,9,33,14,24,29,17,46,8,43,6,76,18,49,25,2,62,26,64,27,7,28,44,31,35,16,16,56,71,54,31,58,15,28,59,24,16,32,58,33,72,60,35,4,11,0,5,1,25,17,14,9,19,3,0,28,35,40,15,21,23,37,4,75,11,7,24,29,8,29,35,58,40,9,24,12,69,15,22,45,9,46,4,42,0,21,7,49,22,8,3,2,59,11,3,39,51,36,9,8,71,63,39,48,21,59,44,29,57,17,66,13,9,61,1,50,31,3,5,46,22,7,13,22,15,8,76,31,36,10,44,12,36,7,61,10,12,1,8,3,43,5,9,71,29,3,29,43,25,4,36,52,32,26,38,6,50,21,8,84,6,44,49,61,17,19,33,64,38,10,10,25,6,0,32,45,59,77,53,43,36,8,47,52,20,9,54,18,31,60,40,25,57,72,55,31,27,43,48,53,0,29,63,39,40,16,39,6,22,60,57,29,16,41,23,55,0,19,38,69,42,8,1,39,18,55,7,34,78,9,50,53,1,25,29,38,5,34,82,5,54,6,34,0,49,13,13,2,44,10,2,7,34,38,0,61,24,17,2,46,10,44,18,80,22,0,21,27,42,33,14,27,23,2,0,7,10,21,18,0,12,22,21,35,46,55,5,42,19,23,0,44,24,30,0,10,13,46,38,4,13,4,15,47,42,25,10,42,7,73,9,33,52,41,66,3,57,21,2,8,24,55,60}

{43,84,77,36,75,85,68,78,56,35,44,53,85,45,68,66,36,82,39,39,48,62,19,55,39,69,13,1,81,30,81,77,68,23,55,64,60,45,86,48,60,22,32,86,71,64,55,53,25,22,27,74,34,28,34,21,63,68,32,84,13,35,68,76,44,80,69,49,33,2,71,10,28,69,49,37,66,17,39,70,82,86,74,54,79,20,76,72,51,80,80,38,25,86,31,41,71,37,79,33,29,84,65,71,38,79,79,50,46,42,77,74,15,73,77,54,76,40,60,31,13,85,74,26,79,49,85,77,83,65,20,69,55,52,32,11,60,28,76,77,40,45,86,65,49,55,36,69,26,62,47,46,66,82,53,66,47,63,51,35,37,78,42,59,61,86,81,37,35,70,46,37,49,67,78,57,81,17,7,67,29,62,83,69,66,28,86,81,63,85,74,63,60,86,35,72,14,56,16,58,80,58,60,39,84,64,15,72,82,52,44,80,75,23,57,47,84,86,52,69,84,41,67,57,61,45,75,82,51,36,54,31,60,85,34,82,44,77,83,79,60,68,84,75,35,48,62,44,14,70,39,73,32,42,35,20,42,60,86,81,77,52,81,39,61,52,33,50,51,74,30,76,52,70,58,66,51,76,71,35,50,71,81,75,77,74,83,61,68,48,75,55,52,24,39,22,86,81,76,55,71,70,80,45,43,77,25,65,39,71,74,56,82,53,84,44,47,47,50,60,57,69,75,69,37,72,68,32,84,59,32,59,70,67,77,71,60,46,85,6,21,63,76,60,55,14,60,70,4,81,79,45,18,86,41,43,77,77,85,36,56,74,37,56,60,75,61,18,35,59,79,21,36,85,25,69,32,56,48,25,69,79,44,39,47,74,70,33,68,59,84,44,85,47,79,68,74,65,38,78,85,31,59,22,73,50,59,70,35,54,76,59,37,55,31,50,82,57,84,28,80,32,70,66,57,16,75,51,68,39,72,13,40,30,74,71,52,85,77,49,65,48,49,15,63,79,66,84,42,25,77,33,11,86,84,72,61,82,79,45,45,81,67,79,22,81,14,9,41,67,78,78,62,67,40,47,57,71,41,45,58,35,79,65,61,76,73,73,59,55,35,69,54,72,32,45,65,54,78,24,64,15,65,66,61,58,22,68,71,61,3,69,51,71,52,36,12,70,59,73,17,52,86,13,78,74,83,29,39,71,82,55,86,68,66,86,55,8,81,21,52,68,78,40,69,34,77,77,60,82,54,41,65,84,30,78,46,83,85,85,48,81,47,37,47,30,77,65,26,13,41,76,29,24,61,35,53,71,70,72,62,86,51,31,86,71,74,69,5,27,71,62,48,67,37,51,22,86,72,45,21,58,77,86,16,47,75,79,82,34,73,79,31,58,73,63,65}

Returns: {0, 1, 1, 22, 3, 44, 1, 22, 1, 22, 3, 44, 1, 22, 1, 22, 89, 990, 1, 22, 1, 22, 89, 495, 67, 660, 1, 11, 9, 88, 1, 11, 26, 165, 7, 44, 3, 22, 3, 22, 119, 990, 3, 22, 19, 88, 7, 44, 47, 220, 2, 11, 91, 264, 193, 990, 37, 176, 5, 22, 13, 40, 3, 11, 7, 22, 89, 330, 59, 220, 93, 220, 4, 11, 43, 132, 17, 66, 15, 44, 9, 22, 479, 880, 25, 66, 25, 66, 19, 44, 5, 11, 61, 132, 16, 33, 59, 110, 1, 2, 229, 440, 6, 11, 71, 132, 28, 55, 34, 55, 13, 22, 73, 132, 7, 11, 7, 10, 15, 22, 38, 55, 8, 11, 8, 11, 149, 220, 39, 55, 42, 55, 9, 11, 151, 220, 9, 11, 17, 22, 43, 55, 9, 11, 177, 220, 10, 11, 9, 11, 19, 22, 46, 55, 10, 11, 21, 22, 10, 11, 49, 55, 10, 11, 10, 11, 52, 55, 37, 44, 101, 110, 1, 1 }
99

{33,56,27,67,42,14,19,56,64,23,39,65,25,3,7,30,7,42,31,65,75,52,65,37,53,54,42,25,67,34,7,54,15,6,21,66,16,20,0,39,31,8,20,48,14,2,57,31,65,18,79,97,76,53,41,39,69,16,78,30,32,19,37,9,5,65,19,5,1,64,1,7,3,51,19,7,40,5,58,28,17,32,64,23,46,16,46,80,78,38,25,5,28,7,12,43,15,17,35,27,5,11,41,57,25,11,12,38,40,32,31,12,13,38,6,17,12,17,12,80,54,23,65,35,7,32,45,40,71,27,14,42,43,20,19,76,36,47,94,46,20,11,24,2,9,32,24,74,0,20,31,27,0,18,15,55,40,0,15,1,41,55,35,0,24,24,4,13,7,1,31,54,31,3,68,52,73,67,59,19,1,32,69,26,54,2,5,41,37,51,27,51,37,7,36,77,10,58,52,46,35,55,29,60,50,57,21,64,60,21,32,53,29,10,15,95,62,0,28,75,13,6,20,5,10,71,63,23,51,2,3,25,43,37,31,19,18,6,51,37,5,27,24,5,9,16,28,22,77,8,45,71,61,87,62,60,73,8,22,55,2,23,11,29,26,10,33,81,72,64,9,0,69,7,37,8,24,49,59,72,3,32,35,49,43,16,25,34,50,86,63,17,36,52,57,1,54,0,64,5,23,90,10,25,18,6,73,36,74,15,17,55,54,12,45,41,25,1,56,4,44,53,60,18,4,64,17,16,0,32,51,60,52,12,14,44,17,25,42,29,7,61,19,15,47,9,1,26,4,30,5,54,49,20,24,5,40,52,49,5,23,8,72,0,28,43,34,31,48,4,32,65,41,44,17,13,4,22,34,61,0,3,57,48,31,46,38,15,10,1,61,80,12,25,65,50,36,39,27,46,49,12,68,26,28,0,92,40,36,78,66,9,16,37,85,21,65,3,54,32,19,25,12,16,35,44,20,24,2,21,6,14,56,21,17,24,44,6,6,12,51,55,48,46,47,4,19,35,62,11,64,39,1,30,15,9,27,44,19,32,26,72,10,16,4,8,25,59,5,9,89,8,17,45,91,11,4,4,63,45,4,1,35,33,50,54,6,7,12,18,42,34,36,20,53,6,10,15,15,75,28,51,23,34,41,5,22,24,18,32,86,75,48,81,40,58,24,40,2,77,28,19,6,3,52,4,7,9,27,10,75,64,41,26,11,38,42,17,35,12,28,68,0,18,35,9,0,58,13,32,93,15,17,22,45,66,3,44,26,41,75,60,50,12,63,76,52,21,27,77,29,80,15,7,14,5,30,26,72,13,46,72,44,5,72,55,3,77,27,25,24,69,18,5,20,13,3,61,18,10,7,50,56,19,6,52,30,17,18,27,49,12,20,22,51,22,30,23,7,7,9,17,59,66,3,32,38,29,24,13,27,70,21,20,41,31,59,44,9,7,19,41,30,14,47,12,51,42,10,49,13,41,53,17,31,47,72,25,57,8,29,80,5,0,5,84,11,40,23,38,31,27,54,58,68,19,19,50,45,34,96,78,23,32,10,54,27,37,38,29,65,64,44,4,14,71,18,49,2,32,11,14,24,88,7,13,76,40,20,43,40,6,0,18,65,50,1,2,1,45,21,47,11,53,51,52,23,71,24,46,46,52,15,18,12,32,15,86,13,42,0,51,28,34,35,12,42,77,13,27,81,8,19,11,58,53,11,5,26,16,29,22,8,44,17,7,44,37,5,36,7,20,12,63,9,56,0,4,82,2,57,22,83,23,15,2,2,46,13,14,2,40,72,55,1,61,33,35,4,6,77,14,24,19,82,26,2,29,52,4,46,39,33,14,61,40,86,13,24,7,65,79,22,46,44,15}

{56,72,43,86,77,41,37,74,89,30,63,95,28,47,52,87,58,68,45,75,86,90,97,58,75,89,50,29,81,40,36,63,69,33,86,84,52,53,8,60,78,51,60,57,94,19,74,85,89,90,87,98,95,84,77,63,95,92,79,74,68,79,77,50,30,98,42,92,97,87,56,18,8,61,45,13,70,46,68,65,70,38,88,95,48,64,90,84,82,83,51,77,91,9,96,65,98,27,65,76,50,74,76,64,68,46,33,79,53,36,97,73,95,61,59,48,20,68,44,90,81,40,73,42,39,74,78,94,77,61,48,43,51,80,49,86,43,93,97,93,81,94,39,32,36,70,39,83,96,57,46,78,1,68,25,95,92,75,47,95,44,59,56,2,44,29,77,45,68,21,70,95,52,67,74,61,85,77,97,36,8,80,71,47,75,45,7,96,74,76,85,66,96,30,72,89,17,97,93,63,52,83,65,85,59,84,29,82,61,25,34,61,65,56,87,98,98,15,44,93,87,20,66,10,13,84,77,92,63,29,77,34,67,55,92,81,74,78,65,69,37,61,50,92,26,96,38,45,85,77,47,93,63,97,84,89,92,84,47,87,40,67,32,40,85,85,53,98,93,78,12,88,87,43,47,58,41,79,88,88,9,78,50,72,76,72,34,88,67,88,71,37,98,58,96,92,60,6,96,98,58,98,74,86,65,58,89,61,78,60,42,72,62,31,73,47,96,71,63,16,89,83,67,38,89,76,76,43,52,83,79,92,86,53,73,65,77,79,69,93,79,77,60,93,73,58,39,28,44,39,20,74,54,43,30,11,77,63,66,65,51,43,79,4,45,52,74,64,84,69,96,75,43,89,78,71,97,65,69,68,53,75,96,72,41,75,68,42,85,33,81,86,30,26,78,82,83,77,32,96,66,64,77,82,74,73,98,68,74,90,97,56,42,89,88,57,85,35,96,76,71,66,94,63,79,67,71,31,90,38,22,60,63,69,27,51,71,88,34,37,70,80,50,59,86,7,21,58,74,42,88,83,34,95,88,81,60,61,81,53,41,95,85,88,31,91,51,63,36,91,90,66,67,77,98,37,80,10,66,54,62,83,52,61,71,76,36,52,83,37,74,50,68,35,57,40,31,61,53,86,65,56,59,91,90,61,68,26,61,39,97,78,87,95,70,90,30,61,74,94,85,89,16,17,55,14,27,71,76,94,95,71,87,36,19,83,59,39,83,72,29,89,5,88,45,62,53,67,48,47,98,20,31,89,74,85,87,74,37,72,91,79,56,91,78,88,86,31,45,90,31,94,62,18,61,37,75,49,95,58,97,93,83,31,80,76,65,88,47,34,43,89,45,25,56,21,79,77,91,34,12,57,71,53,44,58,72,94,25,68,63,95,78,70,68,76,40,87,83,40,78,83,86,95,73,86,82,89,28,66,83,98,44,31,49,78,61,54,19,57,45,64,74,61,70,48,93,79,36,74,64,94,76,66,59,77,76,82,85,50,30,82,79,24,12,97,82,61,78,49,82,90,86,77,74,95,45,90,65,70,98,92,90,41,60,56,30,59,86,38,92,80,51,81,96,82,66,61,31,95,35,52,58,94,54,61,90,80,81,50,42,87,56,48,97,77,61,35,82,70,83,78,59,96,86,78,89,89,47,58,59,96,50,33,33,64,70,91,28,54,77,78,49,39,77,72,80,83,93,98,82,16,87,44,87,56,55,82,61,74,87,51,79,80,93,14,50,61,80,79,98,67,66,74,70,84,3,60,84,70,93,23,87,52,82,36,38,96,72,70,10,89,80,60,85,75,68,41,54,11,82,19,35,49,83,93,47,80,69,45,61,49,67,53,86,95,95,89,73,23,84,92,29,87,79,80}

Returns: {0, 1, 1, 10, 1, 20, 3, 50, 1, 25, 1, 25, 4, 75, 2, 25, 17, 75, 3, 25, 1, 10, 8, 75, 31, 150, 3, 20, 3, 25, 3, 25, 53, 150, 21, 125, 4, 25, 4, 25, 22, 75, 1, 5, 38, 225, 64, 225, 7, 50, 6, 25, 7, 25, 59, 250, 8, 25, 9, 25, 2, 5, 31, 75, 38, 125, 673, 1800, 93, 250, 19, 50, 103, 250, 11, 25, 199, 450, 104, 225, 11, 25, 7, 15, 12, 25, 13, 25, 118, 225, 112, 225, 47, 100, 6743, 10800, 79, 150, 118, 225, 7, 12, 394, 675, 14, 25, 487, 900, 131, 225, 3, 5, 434, 675, 289, 450, 19, 30, 16, 25, 16, 25, 17, 25, 151, 225, 18, 25, 631, 900, 1787, 2700, 39, 50, 53, 75, 18, 25, 33, 50, 17543, 21600, 19, 25, 158, 225, 811, 1080, 19, 25, 37, 50, 514, 675, 4, 5, 4, 5, 43, 50, 514, 675, 58, 75, 21, 25, 22, 25, 9, 10, 21, 25, 554, 675, 23, 25, 22, 25, 13, 15, 14, 15, 1229, 1350, 93, 100, 22, 25, 23, 25, 1229, 1350, 1531, 1800, 24, 25, 1, 1 }
90

{27,30,14,43,2,8,26,64,44,0,14,35,37,14,3,35,4,77,14,19,48,37,10,29,41,32,71,62,37,11,24,12,68,4,1,70,77,6,7,27,38,45,56,15,12,72,72,0,67,5,33,10,19,56,16,67,18,74,8,35,26,70,16,65,24,19,19,59,41,3,29,65,2,42,38,22,2,0,76,61,43,52,2,16,2,0,49,12,50,20,41,43,41,33,7,48,9,58,32,7,35,48,29,3,13,59,12,8,3,27,32,43,20,33,37,41,35,25,16,57,58,48,12,31,2,15,21,34,41,20,13,33,17,66,52,0,53,38,66,0,46,0,44,35,23,50,17,0,46,5,21,51,45,17,31,48,26,67,18,19,47,42,37,5,17,25,29,69,5,24,11,21,7,19,33,7,34,35,53,32,0,40,72,45,21,18,32,12,44,12,35,16,46,28,36,3,13,2,2,16,5,17,82,2,67,12,30,50,6,27,15,2,20,23,7,0,56,20,39,31,30,67,34,19,25,42,48,20,2,24,1,26,11,10,53,13,6,45,40,54,21,16,16,25,61,6,75,6,29,2,18,59,12,36,71,14,14,23,20,9,42,20,34,1,19,50,47,5,2,35,32,20,45,32,52,19,43,44,9,68,2,67,33,63,11,81,86,58,48,52,18,56,7,26,7,2,19,30,12,40,39,45,63,21,31,11,2,49,38,3,20,15,40,51,9,5,3,13,10,38,1,41,13,10,20,10,53,40,37,30,30,0,55,26,70,22,12,61,5,64,2,28,3,11,23,39,80,51,5,53,0,20,2,19,45,6,57,50,32,31,26,26,2,3,73,29,0,21,10,4,7,6,47,52,18,32,15,15,55,60,0,44,54,42,62,16,43,29,22,27,10,65,7,4,29,0,9,19,36,25,18,40,23,17,12,22,19,10,32,8,12,16,13,10,56,20,22,41,76,65,48,46,14,68,22,37,19,25,53,26,14,1,15,1,42,25,21,15,2,13,12,12,0,15,6,68,0,67,15,18,25,13,42,0,11,13,8,1,44,6,81,26,14,22,34,77,52,17,43,48,42,47,50,21,60,21,21,5,25,20,6,2,31,10,50,31,38,21,21,6,10,2,27,56,78,41,5,35,18,19,14,64,78,39,40,45,37,59,25,32,57,4,20,46,5,48,21,39,12,6,65,40,39,5,37,34,31,52,35,19,32,29,3,59,39,36,42,59,29,15,29,34,44,24,49,66,43,15,48,4,18,19,50,3,70,23,9,67,21,12,3,43,29,30,83,24,21,13,15,28,39,51,52,3,27,65,22,36,33,17,59,29,41,38,72,20,21,27,66,17,3,21,52,0,59,6,5,48,3,43,26,21,19,17,4,25,15,0,0,30,9,38,17,26,29,54,16,2,14,41,10,10,1,41,58,7,39,42,40,57,34,2,67,33,31,71,19,16,21,31,1,8,10,65,54,41,56,7,9,88,4,49,13,23,47,46,29,15,19,29,24,18,7,26,14,8,81,17,29,20,8,32,29,50,34,12,85,6,0,71,55,44,29,56,46,60,54,10,0,36,15,58,9,21,40,8,18,23,36,59,25,39,5,28,20,16,33,15,39,45,29,65,60,1,2,21,28,14,18,46,31,40,79,14,56,4,13,24,48,20,60,49,33,37,23,65,21,23,23,15,12,18,22,26,78,30,10,2,40,65,36,37,23,43,0,68,33,45,12,33,38,32,22,46,30,30,31,16,15,59,14,27,47,40,42,16,11,59,18,38,29,10,42,32,50,39,12,22,29,25,33,29,11,21,24,73,20,38,46,4,61,30,41,47,13,25,25,76,28,2,34,0,13,37,4,24,2,20,15,17,18,39,14,25,35,17,29,1,9,9,8,39,84,26,26,18,28,1,0,57,59,42,1,87,71,46,50,22,31,8,6,37,0,49,60,0,77,6,22,16,39,12,26,12,22,31,22,29,42,13,51,42,14,10,19,6,47,43,48,3,30,24,24,52,53,42,36,15,59,1,33}

{81,78,72,88,73,25,29,74,88,7,73,53,86,41,45,84,45,79,16,62,59,66,30,61,70,47,79,83,60,45,67,31,86,89,61,88,88,80,29,83,48,54,76,19,37,83,77,14,69,47,60,85,50,83,53,77,19,88,81,71,61,80,82,80,80,42,82,63,46,78,71,72,11,67,80,37,23,72,89,88,56,75,42,38,9,21,85,72,53,55,59,51,67,86,29,86,58,66,82,73,64,83,61,56,45,76,61,43,73,80,35,52,76,41,82,87,66,30,21,75,76,73,31,51,25,52,31,47,52,85,32,49,68,83,65,76,83,66,78,14,77,3,82,78,40,80,58,52,62,19,27,81,72,47,89,80,69,73,85,43,58,78,57,58,73,60,77,77,62,77,82,69,21,87,61,22,68,86,70,82,77,80,74,64,36,85,52,30,86,72,59,75,50,75,65,51,64,59,42,71,57,69,84,26,70,77,74,53,67,50,64,83,23,70,39,16,78,69,54,49,40,77,38,82,31,85,53,48,25,88,10,45,42,55,67,64,70,62,52,87,28,25,20,41,63,43,89,37,70,14,26,61,77,88,84,56,76,89,80,78,86,37,67,42,53,66,88,17,10,72,51,50,85,56,72,28,47,79,69,75,23,81,60,81,57,87,89,64,62,77,76,86,73,36,51,74,44,36,69,47,69,72,79,24,55,20,54,77,63,29,33,42,51,59,62,24,21,79,52,56,75,88,58,46,43,63,65,42,72,80,76,83,67,86,71,61,80,69,10,73,8,77,4,59,52,41,89,88,40,75,44,22,27,66,53,80,59,69,35,82,49,89,31,56,82,54,1,83,12,23,37,12,89,86,70,39,44,44,89,65,25,73,61,52,77,24,83,37,44,73,71,75,87,80,82,43,58,25,81,70,21,75,34,87,22,39,75,74,82,81,23,55,70,12,62,83,45,61,86,73,52,64,24,73,34,54,21,84,62,80,33,37,79,83,84,86,81,28,86,87,41,25,5,75,85,86,14,87,65,52,81,82,54,70,44,18,30,52,61,20,89,29,41,85,82,81,74,60,48,89,52,61,84,39,67,64,44,79,28,70,71,22,72,80,62,34,85,88,66,85,45,57,69,86,86,75,35,46,80,26,40,87,89,71,55,83,83,88,76,75,80,49,72,68,38,81,46,81,87,33,87,83,42,33,81,47,74,72,80,55,75,59,17,63,51,79,55,76,66,78,49,81,85,37,76,89,86,41,86,60,41,24,62,18,85,38,38,86,23,57,62,48,56,62,89,31,69,37,34,67,63,71,55,6,74,74,44,72,56,53,65,69,74,54,83,21,36,81,73,54,25,38,79,76,71,18,56,71,46,74,56,34,36,50,86,34,45,80,89,62,83,51,81,57,69,65,54,54,38,71,43,64,6,69,66,41,49,55,59,69,58,36,80,52,61,84,59,71,25,67,42,61,26,89,69,81,74,13,57,89,83,75,69,67,87,89,80,16,39,52,82,41,15,47,58,78,87,23,62,56,61,69,58,68,54,69,89,80,87,77,83,77,56,61,82,73,65,80,66,78,18,73,42,81,59,84,21,34,58,79,64,71,48,37,62,51,49,43,48,86,45,70,76,22,75,42,73,59,31,74,41,59,82,58,83,29,70,62,75,54,85,77,50,77,50,66,43,30,61,27,74,58,46,53,84,69,45,46,66,81,54,60,85,52,63,80,58,65,77,50,56,51,47,58,49,76,49,25,18,74,28,38,76,60,54,45,80,73,53,52,63,15,45,60,79,67,35,63,53,53,78,63,13,32,49,75,89,69,80,88,65,63,69,78,65,67,35,87,67,89,49,11,76,76,51,53,16,79,35,66,87,49,20,42,75,20,69,79,18,22,27,71,89,41,75,81,63,58,51,85,67,58,20,89,80,77,56,59,43,72,39,69,54,81,69,2,86,50,84,44,41,30,82,58,54,71,42,80,57,33,89,50,55,21,74,58,57,59,62,50,53,51,32,84,78,44,46,21,85,57,81}

Returns: {0, 1, 1, 22, 1, 22, 2, 33, 89, 462, 1, 22, 4, 33, 3, 44, 73, 396, 5, 44, 1, 11, 1, 11, 29, 132, 3, 22, 5, 44, 3, 22, 2, 11, 19, 132, 2, 11, 5, 22, 5, 22, 3, 11, 7, 22, 25, 77, 7, 22, 32, 99, 1907, 6237, 37, 99, 817, 2079, 4793, 12474, 29, 77, 37, 99, 4, 11, 15, 44, 14, 33, 19, 44, 135, 308, 962, 2079, 47, 99, 9, 22, 3, 7, 5, 11, 37, 77, 296, 693, 43, 77, 41, 77, 1, 2, 37, 77, 52, 99, 157, 264, 6, 11, 367, 693, 19, 33, 11, 18, 45, 77, 62, 99, 13, 22, 41, 77, 11, 18, 45, 77, 2369, 4158, 7, 11, 283, 396, 3, 4, 13, 18, 15, 22, 25, 33, 67, 99, 91, 132, 74, 99, 8, 11, 17, 22, 3, 4, 5, 6, 5, 6, 11, 12, 101, 132, 9, 11, 83, 99, 19, 22, 39, 44, 29, 33, 10, 11, 29, 33, 21, 22, 19, 22, 91, 99, 31, 33, 11, 12, 1, 1 }
73

{15,7,20,28,35,17,47,32,46,5,19,18,35,11,20,13,1,10,9,4,32,29,10,18,17,60,24,17,5,19,37,19,60,7,8,37,40,2,12,11,4,21,9,24,37,18,44,19,3,44,42,2,36,2,33,37,8,11,62,29,20,3,35,35,10,38,51,11,10,2,66,20,5,29,18,21,15,20,6,53,14,25,0,1,8,36,45,22,42,17,56,51,21,32,23,45,35,4,38,1,14,63,5,59,48,4,10,40,30,36,0,22,10,29,0,36,44,10,37,18,35,48,14,23,17,20,12,3,13,18,19,11,47,41,34,13,62,32,21,13,23,47,10,18,55,45,20,40,13,51,2,21,38,5,35,14,23,20,32,7,38,2,19,33,21,39,38,22,60,12,39,31,11,46,0,17,29,10,33,46,24,27,33,8,4,40,30,55,36,9,26,52,24,47,40,13,18,22,20,12,14,40,42,17,21,24,11,16,1,25,9,17,1,56,9,10,24,43,8,16,23,32,30,17,48,1,36,9,23,16,23,47,23,6,63,13,8,43,53,44,12,8,21,11,57,15,16,50,22,20,21,33,1,6,5,1,3,43,11,5,15,17,58,35,45,50,9,22,30,3,65,7,22,54,22,37,8,4,0,37,15,10,61,10,29,22,64,3,48,6,27,0,11,45,7,36,40,23,32,23,7,16,5,41,36,13,36,47,40,1,7,6,2,30,19,11,33,2,2,38,0,43,3,41,3,20,8,37,20,13,41,24,11,28,10,28,8,1,23,55,42,25,18,10,28,64,3,13,28,2,21,13,23,9,54,71,11,20,28,0,21,12,37,42,62,0,10,55,5,21,54,28,17,19,4,5,27,20,65,31,62,30,9,15,1,7,9,50,63,69,1,51,5,0,7,21,12,48,30,31,48,41,20,4,27,5,5,28,2,22,0,30,7,14,10,30,16,34,53,7,9,4,20,16,31,5,57,4,7,37,4,42,19,2,2,29,42,6,17,7,7,12,45,40,54,0,16,16,7,5,30,50,14,30,34,24,10,42,18,42,55,24,49,11,11,5,1,41,26,3,54,19,42,11,40,13,6,1,40,34,26,0,47,23,12,52,22,38,12,22,34,13,32,49,1,10,44,44,2,27,15,20,57,30,8,22,17,45,7,24,33,49,38,9,20,31,32,1,15,26,1,20,4,22,20,19,44,16,5,57,50,70,12,60,45,25,41,17,31,6,50,14,30,3,8,5,14,1,33,1,36,25,0,25,0,23,8,23,8,36,17,37,64,11,17,26,16,68,36,5,2,14,40,11,0,0,11,2,22,59,3,9,24,49,13,46,6,42,7,13,9,9,58,53,7,19,15,6,37,16,22,6,6,10,19,48,22,59,67}

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

Returns: {0, 1, 1, 14, 1, 14, 1, 21, 1, 21, 2, 21, 2, 21, 1, 7, 1, 7, 1, 5, 3, 14, 1, 7, 4, 15, 5, 42, 9, 35, 4, 21, 5, 21, 3, 14, 2, 7, 11, 35, 32, 105, 67, 210, 1, 3, 9, 35, 11, 42, 8, 21, 13, 35, 73, 252, 3, 7, 17, 42, 25, 63, 67, 126, 8, 21, 41, 84, 3, 7, 10, 21, 29, 63, 10, 21, 10, 21, 2, 3, 167, 420, 10, 21, 11, 21, 11, 21, 4, 7, 23, 42, 13, 21, 4, 7, 9, 14, 17, 28, 2, 3, 289, 378, 115, 168, 2, 3, 83, 126, 5, 7, 16, 21, 2339, 3024, 181, 252, 46, 63, 50, 63, 5363, 6048, 47, 63, 17, 21, 5, 6, 6, 7, 163, 189, 19, 21, 5363, 6048, 20, 21, 13, 14, 176, 189, 1, 1 }
94

{14,31,42,11,21,69,63,39,23,39,28,53,6,74,2,2,35,9,1,27,4,53,28,39,15,5,20,69,51,70,0,31,30,87,38,42,40,18,10,13,2,39,58,56,0,33,28,41,9,34,13,18,92,30,5,5,4,27,29,9,4,46,49,9,39,74,33,7,30,60,61,11,30,20,31,4,10,2,41,47,23,25,30,41,21,41,31,4,42,56,15,43,58,61,91,23,58,89,64,6,42,17,42,9,14,31,21,31,64,4,77,27,59,5,81,53,44,15,1,2,21,4,14,18,11,28,9,9,45,55,11,41,72,56,1,6,5,41,58,3,14,89,74,19,69,9,22,9,75,45,2,11,15,11,21,8,28,6,33,16,21,32,11,7,54,20,10,28,40,9,16,5,40,30,2,10,57,31,15,1,33,29,26,12,39,3,36,45,5,6,35,51,47,66,59,19,44,28,65,45,15,36,3,7,38,53,69,2,37,4,39,48,85,3,14,4,55,78,6,16,38,33,31,7,0,74,65,74,17,0,1,25,8,6,18,47,35,15,4,62,22,18,5,53,76,46,22,38,46,4,18,56,43,7,42,28,4,13,5,2,61,40,47,0,38,2,13,15,50,40,14,7,58,1,63,6,53,13,54,57,66,79,6,38,46,43,39,25,60,5,8,28,4,58,14,35,58,7,24,21,24,10,4,54,47,8,12,7,3,14,45,14,8,32,58,27,10,63,0,26,14,17,18,1,44,62,11,7,22,18,26,25,0,25,6,1,51,9,33,29,1,2,21,54,34,21,6,32,0,33,64,49,24,19,30,21,7,13,2,57,7,55,2,9,6,6,60,17,9,10,3,42,28,59,26,15,12,8,1,40,30,84,37,6,31,57,4,0,51,5,51,65,48,11,6,29,83,33,28,38,49,6,88,7,70,21,25,55,52,28,24,3,78,3,47,20,0,40,38,2,49,57,15,44,70,12,12,37,16,36,64,7,55,43,5,11,15,73,21,0,6,86,82,80,4,3,1,78,21,23,64,0,39,47,0,44,22,34,1,63,26,50,5,18,32,27,57,76,48,6,30,35,11,40,5,37,1,18,57,22,1,75,19,63,22,65,5,26,30,34,9,77,54,27,78,11,17,60,15,36,44,28,30,9,11,38,20,66,55,13,57,6,81,33,15,28,25,9,35,53,13,27,25,41,69,2,32,3,44,67,80,27,57,10,30,0,9,17,34,22,0,31,44,49,8,16,1,32,67,48,14,9,7,31,41,30,29,68,20,29,14,2,32,14,3,1,18,26,3,71,33,56,2,0,26,23,54,30,12,37,1,24,14,4,27,32,37,37,23,65,37,7,23,30,10,10,0,1,31,18,38,63,31,16,90,5,17,5,14,56,11,56,57,34,11,41,31,18,17,21,26,25,1,17,7,40,15,0,3,19,9,13,58,21,31,15,16,51,7,13,29,57,33,5,12,12,13,27,50,63,44,45,14,12,51,22,43,21,41,11,13,9,4,29,61,54,42,38,26,35,28,25,20,52,74,20,43,17,44,13,25,34,13,24,8,80,31,39,10,29,20,30,21,49,45,29,7,6,51,25,9,17,10,20,62,0,0,76,4,15,31,26,7,16,7,10,13,18,52,43,78,21,19,1,7,59,24,0,26,16,66,23,25,10,35,80,11,76,15,46,24,34,13,35,6,16,41,3,22,3,43,14,47,14,19,14,52,5,15,87,47,12,33,61,56,35,36,8,45,50,12,30,32,46,12,7,15,61,14,4,21,23,35,48,66,12,27}

{72,82,80,17,66,74,80,46,70,45,68,65,21,89,86,81,84,59,50,29,73,57,78,45,88,15,71,73,64,85,1,93,55,93,58,85,44,57,50,58,90,63,71,72,13,35,88,47,36,75,70,87,93,55,54,57,53,70,90,68,76,60,58,38,71,82,49,84,77,82,82,53,79,92,45,22,60,67,44,56,60,55,59,65,87,81,73,92,78,64,88,60,70,69,93,73,64,93,75,76,86,19,89,65,16,47,91,79,76,65,84,44,79,90,88,92,88,24,21,43,93,90,21,39,19,40,10,81,77,56,54,44,74,62,62,86,69,80,86,21,27,90,75,77,82,79,54,28,87,77,45,25,78,37,93,49,67,79,48,86,72,55,62,93,73,39,57,77,92,54,35,71,83,89,74,49,81,83,45,87,66,39,93,18,67,44,39,57,83,19,89,86,83,93,61,81,75,73,80,73,93,78,76,54,60,57,85,25,84,44,76,64,93,14,72,65,68,80,91,89,48,60,89,42,21,89,90,77,73,5,51,30,36,91,48,76,51,51,69,74,75,57,52,92,90,65,80,50,91,17,47,69,67,65,60,71,58,37,24,92,63,67,57,93,70,43,24,32,62,78,19,93,84,53,80,86,67,87,62,87,77,93,11,59,53,80,74,77,79,81,65,90,82,83,35,58,82,24,61,79,34,34,89,56,79,76,19,37,9,67,92,51,71,55,88,58,40,65,2,71,92,71,79,57,58,84,87,66,55,49,31,87,66,92,42,78,92,17,85,49,39,53,52,68,88,92,24,91,30,39,68,92,32,62,79,64,32,56,60,76,60,60,78,55,26,28,76,82,44,51,65,71,62,77,56,60,39,49,52,46,47,93,47,81,52,73,45,6,53,34,89,83,55,69,18,30,88,42,34,80,70,43,93,65,81,53,83,93,56,47,82,72,85,45,89,71,54,74,71,12,64,67,71,81,79,61,22,93,44,50,72,36,57,65,83,87,53,81,51,84,21,93,87,93,68,16,90,90,24,30,82,51,45,56,68,70,84,84,17,68,44,79,66,87,40,41,76,93,83,54,33,79,84,71,26,51,75,23,81,51,81,83,46,71,32,82,39,53,47,43,29,85,65,57,83,22,85,63,79,79,61,37,93,12,93,44,38,90,57,50,89,38,90,83,57,89,50,39,58,83,35,34,78,77,71,81,47,91,85,83,83,93,66,61,54,7,73,24,68,41,15,60,51,93,24,27,47,36,75,91,57,29,70,66,60,52,33,79,86,44,82,21,89,84,43,43,47,83,89,86,38,82,39,4,75,75,82,34,61,90,71,45,74,32,72,59,58,77,78,89,42,80,87,45,76,47,78,78,86,79,70,89,79,44,93,18,77,21,28,74,74,77,63,83,42,72,39,24,36,82,39,38,92,73,27,55,69,3,54,90,64,84,68,53,46,54,69,69,92,92,90,69,55,39,23,93,16,36,93,87,78,81,76,55,54,38,74,27,50,23,89,77,42,36,90,70,55,70,73,43,41,81,80,59,91,51,59,73,62,51,89,52,37,52,15,87,74,78,54,71,35,32,46,68,61,68,19,84,54,38,20,66,42,25,82,73,8,87,61,26,77,72,82,37,28,62,52,48,82,49,86,85,87,17,33,63,39,26,34,25,82,87,40,11,40,91,32,87,23,66,93,71,74,76,78,72,78,23,79,25,75,84,58,45,38,59,59,51,28,88,72,21,60,92,86,47,91,60,69,86,39,68,63,77,63,70,73,66,45,47,41,85,93,71,83,78,77}

Returns: {0, 1, 2, 21, 1, 14, 1, 21, 41, 300, 431, 4725, 2, 21, 5, 42, 431, 4725, 2, 21, 487, 3150, 337, 1575, 1, 7, 11, 126, 1, 9, 862, 4725, 11, 63, 41, 150, 328, 1575, 127, 350, 83, 450, 4, 21, 1909, 6300, 431, 1575, 524, 1575, 431, 1575, 4079, 14175, 5, 21, 3599, 12600, 2, 7, 1, 3, 796, 2025, 247, 630, 8, 21, 131, 315, 3, 7, 142, 315, 7349, 18900, 19, 42, 107, 210, 10, 21, 5209, 12600, 2657, 5400, 1, 2, 11, 21, 41, 70, 179, 315, 15, 28, 11, 21, 4, 7, 25, 42, 4, 7, 157, 315, 79, 126, 13, 21, 25, 42, 2, 3, 43, 63, 9, 14, 61, 105, 2, 3, 139, 210, 31, 42, 31, 42, 5, 7, 50, 63, 97, 126, 97, 126, 52, 63, 47, 63, 191, 252, 157, 189, 16, 21, 17, 21, 17, 21, 6, 7, 17, 21, 55, 63, 173, 252, 115, 126, 107, 126, 55, 63, 6, 7, 19, 21, 59, 63, 59, 63, 173, 189, 19, 21, 20, 21, 55, 63, 59, 63, 233, 252, 349, 420, 1, 1 }
97

{62,13,69,21,48,5,43,35,8,63,31,7,16,46,33,38,87,9,5,2,45,36,60,11,18,29,28,47,27,68,1,38,32,53,90,7,74,26,23,62,11,24,30,49,24,17,71,28,17,56,7,31,16,6,10,45,3,14,5,12,57,62,28,62,29,28,35,6,18,5,17,30,11,30,19,48,18,4,51,45,54,32,58,24,43,19,26,23,11,2,4,42,0,11,28,77,14,6,25,43,43,17,56,33,21,32,16,17,4,55,17,38,29,77,83,70,33,21,27,6,81,73,37,29,20,5,14,40,30,16,50,37,57,36,48,5,10,48,35,41,75,18,28,24,20,4,18,28,29,70,7,34,21,69,37,4,15,7,75,53,17,61,2,5,51,29,11,2,49,82,1,32,5,8,25,68,45,9,39,3,40,0,12,28,4,39,63,20,67,5,62,0,37,14,50,62,72,7,7,11,46,32,41,4,38,22,68,44,14,18,6,13,27,0,7,62,39,48,76,55,30,28,35,46,46,71,39,12,9,63,9,1,2,52,76,95,19,11,28,10,38,16,66,13,18,23,59,39,43,22,48,25,8,27,48,11,25,65,79,42,71,0,39,2,3,20,75,21,12,77,7,50,59,8,27,59,21,39,35,0,6,8,37,0,25,29,54,14,7,3,48,51,6,9,76,29,35,31,18,0,2,14,1,26,17,6,27,15,0,45,31,4,54,70,35,15,65,1,38,42,51,13,31,24,41,9,30,8,9,60,45,25,20,15,64,22,12,38,93,7,4,10,45,64,7,48,2,31,94,83,58,28,81,0,43,39,64,59,4,14,2,0,9,39,85,53,26,11,68,43,29,47,13,1,77,46,34,13,70,48,10,18,85,16,26,22,48,12,82,50,20,58,11,20,30,10,59,12,18,61,21,36,13,14,49,62,39,31,21,13,31,5,33,3,35,54,1,57,4,53,46,49,9,16,1,19,32,78,6,65,10,19,0,10,55,67,70,39,7,86,36,11,31,2,49,42,73,9,4,3,3,0,50,3,17,30,54,42,9,40,3,30,14,12,45,33,6,85,4,14,12,75,28,0,4,52,56,38,9,25,20,12,52,21,14,62,57,18,34,4,53,17,38,80,21,33,17,35,2,3,62,41,47,2,66,67,63,7,46,21,0,83,5,29,3,51,29,61,31,60,36,39,0,20,15,11,34,29,78,42,32,25,12,10,15,51,34,3,72,25,16,44,62,41,11,30,42,10,27,58,25,27,15,22,6,5,9,32,6,5,21,11,7,73,20,46,16,15,46,39,38,20,19,45,39,10,17,15,41,64,1,48,40,45,12,15,22,44,28,86,7,2,5,6,8,14,72,20,36,16,7,22,57,29,53,9,25,7,8,37,13,0,54,10,43,53,18,38,27,14,42,36,27,79,0,4,14,40,20,47,91,31,9,14,24,57,13,34,3,85,0,10,76,2,18,29,16,5,22,22,38,14,81,15,26,73,24,52,1,10,29,19,48,86,57,12,35,12,15,10,15,88,11,13,3,60,28,25,44,57,3,31,52,8,13,58,52,29,89,21,4,67,7,10,33,28,21,11,64,10,34,23,24,62,26,60,25,10,38,25,17,73,14,14,14,48,92,41,28,11,21,19,88,50,0,8,5,21,5,4,24,3,45,78,83,7,64,15,9,22,70,12,7,36,34,35,31,23,35,22,13,35,55,32,14,50,54,5,27,29,15,4,58,43,1,24,20,0,0,76,34,4,16,21,28,2,21,16,10,9,2,58,14,84,15,39}

{77,62,79,36,51,90,53,54,57,92,85,32,86,75,84,51,88,64,36,50,67,69,66,40,49,35,40,82,64,94,23,93,52,96,95,55,96,92,50,92,52,39,88,88,41,54,89,74,63,69,86,52,35,32,15,68,32,21,31,89,64,72,77,89,35,58,54,91,92,38,60,79,66,56,39,64,23,22,93,56,78,88,62,93,72,38,51,76,91,89,47,70,5,81,73,84,37,23,55,55,62,59,64,83,79,82,26,39,48,72,49,51,65,84,89,74,70,82,70,19,90,96,73,71,26,71,89,96,86,38,79,71,70,86,95,41,20,83,70,74,93,50,94,96,43,34,88,60,88,73,41,88,62,73,95,53,72,67,77,85,76,70,20,35,94,77,23,22,68,89,24,89,48,17,96,96,81,74,62,55,56,11,80,40,37,76,68,21,92,70,95,31,44,64,79,87,82,33,45,24,87,36,57,47,56,61,87,82,80,39,68,54,30,89,21,94,71,74,84,80,92,72,88,57,55,72,65,69,57,87,90,38,87,74,95,96,63,15,65,68,43,33,76,89,79,38,79,67,80,57,86,88,60,54,66,19,76,73,89,61,74,39,61,17,6,43,91,45,68,95,42,61,66,44,58,81,42,93,85,9,19,73,85,4,52,91,69,82,44,54,95,70,51,84,77,34,42,38,90,10,78,74,46,36,31,33,72,94,2,73,52,31,73,71,52,59,92,12,61,51,90,18,79,72,45,35,39,59,71,73,65,65,51,41,84,25,82,68,96,68,89,86,73,84,10,77,27,54,96,94,64,73,89,81,93,82,73,85,25,36,50,85,63,80,88,69,43,78,85,78,41,53,46,78,80,89,55,41,78,94,52,32,94,27,30,90,85,71,92,67,46,82,70,26,74,45,77,43,89,86,32,96,91,29,58,83,90,34,72,74,59,44,41,89,73,62,83,88,71,60,49,57,77,26,73,28,55,80,66,86,96,53,73,73,72,85,78,60,19,96,69,48,91,89,79,55,89,20,33,12,29,3,88,81,52,78,91,69,56,95,77,79,48,32,75,49,14,89,61,25,45,91,37,49,7,81,80,96,70,29,68,94,94,23,53,82,94,27,40,34,94,77,80,86,91,69,30,87,47,43,90,65,94,54,79,81,67,95,69,65,69,92,68,39,64,72,93,80,66,96,83,76,16,82,65,65,69,64,84,88,54,69,48,85,43,85,80,31,80,73,84,53,71,42,83,85,53,19,47,62,70,65,77,58,66,26,47,91,40,41,77,66,70,94,49,87,36,30,61,80,53,61,43,80,85,44,30,16,54,79,49,70,76,87,52,76,89,54,38,92,61,73,40,30,53,91,96,26,58,41,59,65,65,76,65,69,47,34,49,95,35,59,71,32,71,96,25,58,44,96,64,75,66,88,94,57,70,51,47,71,96,84,47,32,92,72,91,35,88,95,88,87,82,72,64,56,55,79,95,35,40,69,92,71,71,75,76,76,66,63,84,28,85,93,79,49,37,90,44,55,44,92,65,64,61,77,79,38,64,73,59,61,89,94,73,92,86,48,96,95,20,78,86,86,74,42,79,92,88,47,93,72,25,89,94,91,67,83,51,44,33,90,25,89,60,76,95,56,43,78,48,94,91,52,8,75,21,79,70,13,32,62,70,82,92,66,66,40,37,29,93,21,61,55,87,80,89,84,40,51,40,40,88,92,27,69,79,21,91,61,83,84,80,77,16,81,85,52,1,86,82,90,68,63,48,68,70,89,38,27,44,88,75,96,54,72}

Returns: {0, 1, 4, 57, 4, 57, 1, 19, 1, 19, 9, 76, 2, 19, 21, 190, 3, 38, 43, 380, 16, 95, 4, 57, 101, 570, 2, 19, 3, 19, 43, 190, 27, 95, 3, 19, 3, 19, 14, 57, 43, 190, 27, 95, 8, 57, 13, 38, 8, 57, 4, 19, 13, 38, 13, 38, 92, 285, 5, 19, 2, 5, 9, 38, 271, 760, 13, 38, 6, 19, 7, 19, 163, 380, 8, 19, 2, 5, 87, 190, 87, 190, 2, 5, 87, 190, 44, 95, 9, 19, 87, 190, 92, 285, 33, 76, 239, 570, 239, 570, 163, 380, 49, 95, 423, 760, 10, 19, 10, 19, 451, 760, 49, 95, 283, 570, 381, 760, 33, 76, 11, 19, 49, 95, 45, 76, 649, 1520, 109, 190, 11, 19, 12, 19, 433, 760, 491, 855, 11, 19, 109, 190, 25, 38, 55, 76, 12, 19, 63, 76, 13, 19, 13, 19, 14, 19, 259, 380, 41, 57, 15, 19, 793, 1140, 123, 152, 83, 114, 33, 38, 1181, 1710, 16, 19, 319, 456, 46, 57, 275, 304, 1873, 2280, 103, 114, 17, 19, 35, 38, 197, 228, 18, 19, 1, 1 }
97

{46,28,5,6,41,45,20,28,4,4,65,64,10,36,55,57,49,59,6,24,27,14,1,13,38,7,14,0,16,28,60,15,44,16,9,60,39,15,9,63,29,89,41,41,11,11,37,8,21,15,73,57,69,0,19,11,18,20,25,14,1,11,55,66,63,35,9,0,28,2,50,7,24,83,50,1,13,24,10,48,7,0,28,21,24,16,53,14,24,1,29,75,24,10,58,9,46,60,50,42,12,4,52,69,44,32,24,18,15,10,52,1,58,74,28,64,34,76,19,18,43,10,38,3,2,59,12,11,6,22,26,28,18,16,39,48,58,36,70,8,9,2,23,27,58,26,64,90,68,58,5,48,7,12,44,30,12,40,14,10,91,1,29,28,9,3,14,1,6,44,26,59,9,2,28,7,87,3,57,38,18,8,23,67,29,44,15,27,19,20,10,24,35,42,12,33,45,63,61,60,18,37,35,29,32,28,38,26,16,35,0,19,49,26,46,12,5,42,39,56,85,14,11,27,86,44,0,48,84,51,5,14,1,65,17,0,10,17,32,18,28,15,14,3,77,57,40,24,40,30,38,74,53,27,46,31,31,14,52,75,1,41,48,31,71,7,18,66,68,69,0,29,15,25,34,17,0,85,67,9,17,62,8,1,11,13,8,45,34,3,66,86,21,47,15,3,33,36,14,21,50,93,19,12,30,1,0,38,0,19,53,79,0,40,32,7,4,52,74,12,2,7,12,18,24,7,10,11,53,29,17,15,32,2,85,52,13,48,70,4,1,38,11,17,66,47,2,22,35,37,13,69,12,23,20,23,28,28,44,30,32,42,76,19,32,2,16,36,0,10,9,79,54,18,25,58,43,76,0,19,12,23,34,24,13,71,54,17,9,43,52,50,48,75,28,58,56,85,80,36,6,34,28,17,7,4,49,23,56,31,91,19,17,18,55,50,16,52,43,13,83,50,33,47,26,6,62,73,1,56,15,5,61,57,0,22,45,71,46,26,12,59,60,13,2,88,46,2,17,28,8,4,30,32,0,23,15,13,72,4,67,14,28,21,43,19,25,49,48,22,30,39,56,1,77,68,12,15,64,5,76,35,16,76,5,38,67,37,8,39,24,28,36,72,24,7,7,40,2,14,56,55,0,35,42,2,30,65,5,47,26,31,63,0,31,46,11,81,28,11,3,5,81,11,69,56,29,20,56,4,2,51,26,26,49,16,26,7,48,49,45,4,22,46,44,78,67,17,72,8,39,24,31,4,54,18,9,17,13,50,8,18,72,82,48,4,20,12,3,13,48,5,23,70,14,13,21,23,24,64,41,26,83,74,78,7,9,15,46,58,57,37,24,54,10,35,14,52,29,81,0,40,26,48,39,20,28,44,40,3,9,56,20,59,75,85,6,48,64,53,2,90,10,45,81,29,5,15,94,53,32,43,1,49,79,1,41,71,22,9,35,42,19,34,15,3,17,29,25,64,3,47,42,48,15,25,69,13,10,28,9,43,68,33,56,69,74,10,22,26,1,11,60,23,18,58,32,47,12,26,66,78,54,2,37,25,56,6,13,34,63,57,29,28,1,11,19,59,11,73,43,11,2,9,5,81,0,11,43,60,18,45,52,13,27,68,10,16,20,21,46,8,61,31,13,17,74,53,29,62,35,16,43,32,54,90,1,4,37,38,83,6,2,68,4,45,6,12,47,25,11,28,3,32,47,42,13,55,66,23,48,46,5,61,43,11,12,18,90,10,69,53,11,0,75,21,36,41,49,22,62,19,18,35,3,51,18,65,85,34,17,49,45,20,23,10,4,61,60,65,60,22,45,38,48,63,41,23,11,12,3,16,14,31,42,71,43,55,79,45,59,20,25,50,48,10,6,14,25,11,21,63,84,30,48,5,43,48,82,86,73,38,64,36,7,5,26,3,59,35,41,37,23,6,92,18,43,3,15,16,25,5,57,54,0,38,76,61,1,1,53,95,39,82,62,8,29,41,2,45,45,35,5,72,10,24,29}

{59,86,29,26,47,49,62,95,22,61,93,82,86,42,68,80,77,96,53,63,45,87,89,88,67,14,78,75,21,45,75,28,91,77,58,88,53,82,93,88,74,94,86,56,28,83,87,32,65,43,85,89,91,68,96,44,42,34,91,91,72,26,90,77,65,57,30,55,67,19,68,8,51,91,59,79,92,70,37,91,15,2,85,46,52,41,93,48,96,92,90,88,44,42,87,67,71,93,56,87,31,66,80,86,84,79,63,93,27,73,56,68,88,86,64,87,36,93,67,19,83,85,55,52,74,62,16,33,28,91,79,34,63,66,57,91,80,40,91,46,53,4,45,41,90,34,73,93,96,67,70,84,10,96,53,49,24,92,29,93,93,29,90,50,55,86,23,17,45,65,43,88,15,25,54,18,94,85,67,67,54,17,92,80,31,55,32,70,63,34,61,28,52,90,79,66,50,87,78,82,35,69,78,45,67,92,65,84,68,78,53,30,91,79,79,40,73,60,41,65,86,40,87,78,96,93,3,90,86,56,30,39,68,90,48,47,50,49,44,95,95,72,16,4,96,73,73,88,65,85,59,91,67,81,93,38,50,48,71,94,46,96,54,67,91,65,80,84,83,77,5,51,35,79,94,48,58,89,72,45,30,83,84,76,68,26,94,85,85,81,67,88,24,82,17,25,58,58,61,64,75,95,81,75,50,18,1,62,8,22,68,85,75,59,82,18,82,83,80,18,5,30,42,53,75,81,77,85,71,66,35,31,86,60,96,54,85,60,82,76,57,57,56,24,79,57,25,73,41,42,21,93,43,55,25,55,86,48,56,47,42,93,87,66,72,54,22,61,47,32,48,96,73,33,75,93,94,89,76,26,14,55,89,32,61,95,83,80,78,62,53,93,76,78,34,93,91,95,96,55,66,92,73,69,73,88,80,71,75,85,94,33,66,96,90,87,44,82,87,58,91,93,68,60,59,40,84,89,34,73,81,86,69,79,3,42,70,76,67,95,45,81,67,15,62,96,82,6,49,87,74,69,36,34,64,53,19,23,77,82,72,17,58,55,55,37,49,63,76,62,45,45,81,66,91,93,73,65,91,65,85,85,61,92,70,60,79,66,52,44,75,51,58,85,34,20,28,86,44,76,80,82,67,68,94,68,84,93,91,56,43,44,77,71,73,53,85,86,92,68,64,66,89,16,80,90,60,26,76,12,83,68,61,33,75,96,60,93,59,78,92,9,90,67,58,82,75,46,95,75,80,50,42,27,76,85,61,45,61,95,80,39,91,93,82,87,65,57,41,35,50,35,75,72,16,18,44,76,93,78,66,53,84,88,91,11,29,34,62,75,72,49,40,60,55,65,36,70,83,88,26,88,28,51,74,85,42,86,50,42,39,79,62,76,80,91,47,89,80,57,50,96,57,67,87,52,12,89,96,84,35,76,7,59,84,9,62,90,45,34,87,67,46,91,16,49,46,72,85,74,45,93,94,61,37,80,88,65,45,75,71,84,71,46,75,74,78,54,36,60,35,17,80,61,73,78,87,96,61,44,94,82,79,72,81,28,61,26,36,78,65,84,52,49,77,67,33,66,88,80,65,45,64,31,61,89,84,75,84,63,72,55,66,24,90,91,34,71,89,77,50,40,75,50,39,36,84,83,95,71,85,54,90,52,86,95,63,11,59,59,93,72,50,69,26,60,24,95,48,45,75,80,37,68,61,82,26,95,87,33,94,87,87,71,84,87,57,90,94,15,87,61,79,34,77,86,89,80,58,38,73,62,57,66,70,59,68,95,87,64,89,60,56,33,63,57,39,84,96,73,62,37,75,70,58,76,80,72,82,63,87,82,33,49,83,86,74,92,93,56,64,82,92,93,50,72,74,63,47,65,73,72,86,45,93,6,77,71,85,87,96,62,74,68,76,78,94,55,79,54,90,47,86,15,96,95,72,37,17,57,66,89,78,85,13,77,89,66,9,58,72,96,54,93,66,60,44,55,59,93,84,82,56,79,73,86,90}

Returns: {0, 1, 1, 25, 1, 25, 1, 25, 2, 25, 2, 25, 3, 25, 2, 25, 3, 20, 3, 25, 3, 25, 7, 50, 3, 25, 2, 25, 4, 25, 4, 25, 1, 5, 11, 50, 43, 250, 28, 125, 61, 375, 6, 25, 37, 125, 868, 3375, 7, 25, 92, 375, 69, 250, 7, 25, 41, 125, 739, 3000, 118, 375, 499, 1500, 8, 25, 1196, 3375, 47, 125, 9, 25, 53, 125, 46, 125, 419, 1000, 143, 500, 59, 125, 2, 5, 123, 250, 293, 750, 419, 1000, 152, 375, 2921, 6750, 11, 25, 12, 25, 181, 375, 13, 25, 13, 25, 98, 225, 23, 45, 13, 25, 379, 750, 14, 25, 134, 225, 218, 375, 14, 25, 14, 25, 3, 5, 3, 5, 63, 100, 19, 30, 7, 10, 16, 25, 17, 25, 44, 75, 49, 75, 1049, 1800, 17, 25, 73, 100, 77, 100, 53, 75, 18, 25, 19, 25, 161, 200, 19, 25, 39, 50, 177, 200, 18, 25, 4, 5, 143, 200, 83, 100, 21, 25, 22, 25, 23, 25, 47, 50, 9, 10, 81, 100, 22, 25, 22, 25, 23, 25, 24, 25, 24, 25, 1, 1 }
85

{28,50,54,5,56,10,10,36,8,52,30,0,45,17,26,10,21,26,24,26,56,17,7,17,46,9,2,23,55,51,4,5,10,23,31,70,2,8,25,56,9,32,46,63,16,36,40,26,13,32,9,46,3,25,29,60,0,1,37,75,28,40,6,31,47,23,18,5,47,42,35,58,29,37,1,57,9,6,7,2,7,17,25,48,17,1,8,61,25,47,47,2,25,28,13,27,19,4,65,27,61,30,36,2,26,18,19,7,69,48,4,9,13,31,46,14,35,34,41,32,56,45,34,36,15,17,41,14,21,23,47,18,9,30,40,9,15,0,66,16,54,29,7,13,60,57,40,33,65,33,7,28,15,28,53,35,0,43,32,29,9,23,16,22,24,3,73,39,3,42,18,22,5,22,17,15,0,31,35,6,54,13,1,6,24,1,39,5,32,70,26,59,2,27,12,11,6,45,8,13,16,18,26,34,18,43,71,0,42,52,13,71,39,6,46,34,11,31,53,62,19,21,37,4,10,6,51,11,25,25,5,11,25,16,43,3,72,3,25,43,21,4,3,36,2,47,2,52,12,31,49,14,7,26,11,21,16,33,14,43,8,25,40,22,3,14,45,16,46,10,16,22,6,27,31,2,6,19,60,14,31,4,0,4,5,35,13,22,42,52,32,30,12,0,3,23,19,66,30,36,44,4,64,45,36,33,32,63,15,34,32,12,37,8,36,2,20,27,44,0,16,55,31,46,15,38,12,54,37,23,29,34,47,4,8,33,24,4,50,12,32,54,39,35,5,35,78,3,6,4,40,62,14,53,35,3,55,51,39,9,56,34,10,29,69,60,28,69,43,2,75,3,27,10,55,40,31,48,41,43,29,12,38,36,43,35,23,42,15,14,21,53,4,8,5,66,7,65,4,31,44,15,25,72,1,21,39,62,4,10,44,68,59,29,6,18,31,5,52,37,45,46,9,81,16,24,5,69,4,57,63,73,45,51,5,32,46,30,54,29,23,21,2,47,18,21,1,10,27,47,4,33,55,30,9,59,18,43,80,27,3,32,51,17,37,62,41,5,32,10,14,12,71,6,47,0,21,42,3,8,7,36,21,33,44,0,83,0,2,44,1,55,0,16,43,72,35,3,38,18,3,14,36,47,21,2,39,38,39,5,0,24,2,48,7,3,52,82,26,29,42,53,59,40,45,2,41,22,44,1,13,8,5,26,24,18,25,43,34,74,30,53,61,21,22,23,29,33,4,40,7,29,46,19,64,41,46,60,46,10,17,20,29,10,3,60,34,22,4,55,34,41,30,35,50,22,60,70,16,30,32,9,5,11,55,4,18,14,46,30,13,33,9,30,43,17,57,30,28,7,56,11,18,22,57,23,34,29,59,56,5,0,16,15,24,58,20,7,7,18,10,27,2,50,27,3,36,2,50,25,52,49,33,52,33,25,53,26,47,7,15,31,6,13,13,76,24,60,51,39,29,17,47,19,25,64,19,18,33,54,7,21,41,28,28,63,46,67,39,58,13,9,8,45,12,16,47,28,6,57,0,51,38,18,35,77,2,5,34,49,25,7,10,79,31,72,34,4,22,54,43,25,25,19,35,34,9,33,57,2,5,69,28,7,1,25,7,22,3,62,41,5,18,3,35,47,39,0,34,4,30,24,17,45,11,3,70,21,20,9,11,76,47,42,20,56,16,40,10,42,28,4,29,23,0,20,32,10,3,72,9,34,17,14,14,4,9,72,4,8,36,42,30,47,28,31,15,3,5}

{32,76,62,63,81,56,16,69,11,70,75,27,84,24,44,18,48,64,26,81,72,32,59,66,55,33,45,79,76,79,10,52,79,35,59,76,7,11,77,76,32,39,74,66,59,78,56,60,67,50,77,75,45,36,83,82,68,42,77,80,52,44,18,44,57,67,81,43,48,55,41,80,38,67,80,63,68,74,11,55,62,78,65,80,48,77,81,62,45,51,50,8,66,67,25,75,78,63,78,43,78,67,62,55,56,62,24,65,82,58,77,73,84,68,53,41,72,57,49,68,79,54,38,66,59,60,47,47,61,30,69,71,24,42,75,62,53,66,83,26,80,32,11,28,76,83,42,54,78,79,43,65,59,82,56,70,35,81,47,47,39,67,73,72,51,80,74,46,54,62,74,48,13,52,51,36,65,42,60,77,72,21,24,58,58,42,41,65,80,75,32,75,37,62,67,13,38,73,63,22,83,64,72,79,52,74,75,2,55,75,69,84,63,54,69,72,39,65,70,78,84,45,53,84,36,40,83,16,29,43,59,80,78,78,67,27,81,12,59,70,48,10,34,80,75,83,37,72,77,80,50,22,79,57,65,48,75,47,74,82,56,34,53,59,16,64,64,73,82,77,66,63,28,29,33,82,66,27,70,38,41,33,70,73,46,42,43,32,62,65,78,40,79,15,51,49,50,81,38,50,45,14,84,49,82,80,65,65,49,36,71,45,63,62,48,32,44,64,46,75,26,74,67,69,83,43,29,78,49,41,31,70,56,71,40,48,49,84,65,55,54,79,45,71,71,37,83,36,83,76,75,84,28,81,80,11,57,55,48,36,76,48,82,61,79,80,41,72,53,10,79,40,73,13,59,72,52,70,70,68,72,26,47,63,57,81,76,69,50,43,83,70,58,52,23,70,16,69,35,54,54,50,59,78,33,45,54,69,41,44,46,78,74,61,45,29,67,67,53,83,74,72,65,84,51,40,53,71,29,75,83,82,83,72,28,60,77,78,81,59,49,55,80,64,30,25,26,49,74,83,58,61,68,44,42,63,47,54,83,59,54,54,52,42,62,75,71,34,57,39,21,47,72,30,79,28,38,56,5,14,40,59,69,75,65,1,84,6,19,71,57,84,27,55,46,82,39,15,68,75,9,43,80,62,44,39,50,69,76,32,33,62,4,70,68,79,53,84,66,40,66,77,78,54,57,39,68,61,62,49,27,75,56,47,73,84,36,82,58,84,33,71,72,77,61,79,79,40,24,59,57,70,58,64,70,57,48,81,52,41,81,81,74,40,22,71,58,39,61,78,83,77,36,65,60,57,80,75,50,40,64,66,80,57,83,58,57,59,70,67,30,43,14,65,67,52,66,46,81,41,69,51,32,35,59,84,51,77,77,75,50,3,71,55,76,68,60,40,60,77,68,66,77,74,68,12,66,20,52,66,82,73,58,75,48,27,63,50,51,55,61,73,27,79,21,78,78,63,71,55,43,65,81,74,61,68,78,31,72,80,58,59,78,33,38,81,50,72,55,83,25,71,75,66,63,42,77,32,70,63,64,77,55,56,49,84,71,35,80,75,72,72,71,83,65,78,45,14,27,65,71,54,64,47,80,54,54,47,71,20,8,80,40,80,46,38,19,28,62,84,46,54,71,40,73,68,60,57,61,26,66,71,52,50,55,46,77,33,80,23,76,83,65,54,56,70,22,61,61,77,32,55,75,49,35,83,62,76,60,75,24,58,71,25,23,42,43,78,42,76,76,66,44,84,84,68,79,17,64}

Returns: {0, 1, 917, 7776, 5, 108, 1, 27, 5, 54, 2, 27, 449, 3888, 7, 72, 1, 9, 11, 108, 5, 36, 4, 27, 887, 5184, 5, 27, 1, 6, 323, 1296, 16, 81, 1061, 7776, 449, 1944, 1295, 7776, 19, 72, 2, 9, 20, 81, 119, 486, 917, 3888, 7, 27, 791, 2592, 8, 27, 151, 486, 1, 3, 157, 486, 10, 27, 91, 243, 11, 27, 107, 324, 161, 486, 299, 648, 431, 972, 65, 162, 101, 243, 4, 9, 37, 81, 83, 162, 38, 81, 13, 27, 14, 27, 43, 81, 121, 243, 169, 270, 5, 9, 16, 27, 131, 243, 17, 27, 2, 3, 49, 81, 47, 81, 13, 18, 151, 243, 292, 405, 161, 243, 35, 54, 46, 81, 56, 81, 19, 27, 179, 270, 20, 27, 34, 45, 107, 162, 661, 810, 7, 9, 109, 135, 22, 27, 23, 27, 19, 27, 23, 27, 8, 9, 116, 135, 122, 135, 41, 45, 25, 27, 25, 27, 25, 27, 25, 27, 26, 27, 1, 1 }
100

{23,12,48,9,17,0,34,71,3,3,7,31,1,0,20,27,14,45,63,46,36,60,5,50,77,43,38,20,13,31,44,34,11,4,48,13,81,14,4,26,15,21,0,52,32,25,15,69,72,38,45,25,60,5,16,1,22,53,29,47,38,87,25,21,1,6,20,47,50,13,47,1,23,1,59,54,16,7,67,21,54,70,55,12,24,2,4,67,55,52,97,54,12,1,32,28,60,35,2,6,10,0,55,41,81,0,60,1,39,39,9,30,3,24,25,58,62,40,33,1,3,14,23,91,18,22,38,18,65,3,20,18,33,42,44,55,51,14,23,25,12,98,28,34,33,20,33,18,42,43,50,45,17,34,88,4,68,12,29,5,46,18,4,32,54,15,26,10,53,6,38,2,32,61,18,80,36,34,47,17,6,26,34,12,44,3,22,10,82,23,1,32,22,39,49,9,11,52,67,6,13,0,4,80,45,16,56,13,22,9,93,66,42,65,52,62,28,8,77,15,54,85,23,21,14,45,24,34,64,0,26,3,53,39,24,5,33,47,61,4,69,39,24,0,48,37,71,11,14,38,0,18,1,19,23,0,78,83,37,80,21,46,71,15,38,51,30,34,69,35,0,7,81,6,11,79,36,33,41,45,27,11,15,50,8,88,4,37,26,94,16,1,60,50,6,24,52,41,50,7,46,63,3,69,50,48,47,81,66,14,83,8,0,25,72,96,60,68,83,29,1,4,12,54,17,31,76,66,33,13,2,12,15,24,36,51,33,42,27,6,5,4,33,65,17,8,12,10,78,35,15,18,44,57,29,43,55,55,44,43,0,23,54,72,50,16,26,21,18,48,13,6,26,0,54,18,29,30,19,7,13,52,13,77,60,20,22,17,22,23,3,86,0,7,29,60,1,24,51,12,20,5,16,64,50,54,15,56,62,4,34,35,21,2,95,15,39,7,9,28,36,32,45,38,10,46,8,60,11,14,14,51,44,38,26,49,33,8,25,61,1,92,26,27,56,61,90,30,54,53,32,38,61,40,52,38,12,66,24,5,62,63,5,19,5,19,75,5,3,44,31,48,26,21,74,56,25,56,54,19,62,38,23,8,47,0,5,33,48,54,84,31,30,8,23,1,60,17,24,73,4,8,44,42,19,36,42,0,34,72,49,13,30,10,45,8,89,22}

{40,82,53,81,49,1,92,81,7,61,45,48,34,66,89,49,30,78,99,90,52,94,53,84,90,87,87,47,83,93,75,38,86,24,72,68,87,88,96,29,23,79,17,68,94,76,66,83,83,48,93,74,77,79,40,10,80,95,53,75,88,91,53,61,29,84,60,79,58,79,83,55,75,22,99,97,29,84,75,73,76,99,80,34,63,74,14,99,61,73,99,86,13,11,83,40,70,56,23,53,67,91,78,68,94,2,87,46,82,67,28,93,31,93,38,62,71,44,40,60,32,88,35,99,85,24,93,86,96,29,26,35,62,61,85,78,72,55,98,53,47,99,68,54,81,88,44,37,53,96,64,85,41,49,93,71,70,44,86,21,79,57,74,51,79,85,28,81,63,52,78,74,95,98,99,81,48,61,57,28,56,68,50,44,83,53,72,45,99,58,44,43,97,43,96,28,87,81,76,8,83,68,70,91,71,64,93,95,66,26,99,70,63,73,79,87,99,13,94,92,57,89,69,63,27,92,66,42,84,96,78,22,99,76,33,44,42,83,77,25,93,43,36,60,95,82,90,84,88,51,9,21,35,90,70,49,89,91,99,81,42,51,85,87,52,85,44,40,73,82,12,43,93,57,14,85,52,48,69,59,59,69,64,75,30,97,37,84,32,99,70,87,83,96,98,99,92,67,87,92,96,94,39,84,53,71,60,87,75,82,91,18,6,74,97,99,72,82,87,35,36,86,54,69,91,50,93,71,47,53,63,88,59,79,68,54,62,85,60,22,98,80,52,91,20,94,64,26,85,76,80,53,75,99,48,49,69,71,49,45,16,80,66,95,59,32,29,24,76,84,45,92,72,5,72,51,92,63,62,29,85,63,41,78,71,61,41,77,33,62,48,87,3,52,83,82,82,36,77,42,29,60,71,80,94,91,20,80,74,32,95,97,94,31,99,94,85,59,72,35,99,51,46,92,17,89,19,88,33,90,18,71,65,99,69,95,56,23,68,76,82,99,80,31,72,99,93,43,83,64,67,80,75,56,67,98,18,93,40,7,83,72,88,88,29,27,86,23,77,89,75,60,77,75,99,97,92,62,63,61,70,64,55,32,94,4,35,80,57,69,99,51,34,36,98,48,83,52,52,80,95,65,71,71,59,97,53,15,62,88,94,63,67,45,86,82,98,45}

Returns: {0, 1, 1, 18, 1507, 9720, 466, 3645, 17, 180, 466, 3645, 541, 6480, 932, 3645, 541, 3240, 5, 36, 1, 9, 11, 90, 23, 180, 1981, 6480, 17, 90, 1, 9, 1, 6, 1, 6, 23, 90, 541, 2160, 2, 9, 29, 90, 3767, 14580, 1507, 4860, 7, 18, 43, 160, 5, 18, 541, 1620, 466, 1215, 466, 1215, 197, 720, 541, 1296, 1, 3, 41, 90, 43, 120, 1189, 2430, 11, 24, 1057, 1920, 319, 720, 3767, 14580, 47, 90, 18593, 38880, 71, 135, 7, 18, 53, 90, 4, 9, 1, 2, 379, 720, 19, 36, 98, 135, 541, 1080, 5, 9, 539, 972, 29, 48, 11, 18, 881, 1944, 241, 405, 29, 36, 3787, 6480, 1621, 2160, 43, 72, 161, 270, 541, 810, 49, 72, 199, 288, 59, 90, 73, 108, 1265, 1944, 1025, 1458, 2, 3, 2483, 2916, 20, 27, 3, 4, 13, 18, 1351, 1620, 121, 162, 3047, 3888, 2, 3, 53, 72, 17, 24, 7, 9, 5, 6, 2483, 2916, 59, 72, 487, 576, 29, 36, 265, 324, 8, 9, 5, 6, 47, 54, 179, 216, 17, 18, 1511, 1944, 11, 12, 11, 12, 7, 8, 233, 270, 11, 12, 101, 108, 1, 1 }
97

{3,2,7,6,1,95,46,47,5,3,78,59,26,55,16,10,11,0,53,22,8,55,20,25,27,21,48,43,10,43,9,47,14,57,15,13,11,40,25,40,35,5,60,44,39,47,33,31,67,8,1,35,93,20,16,3,44,40,33,5,52,37,22,40,5,7,37,9,41,11,39,50,48,16,63,0,10,15,19,34,63,2,44,55,77,27,24,46,10,12,59,4,27,2,19,2,44,13,3,59,12,19,20,79,21,58,17,16,28,11,71,12,62,11,40,23,2,46,26,5,6,26,13,27,55,37,29,22,64,52,38,14,31,21,33,44,5,12,76,41,89,73,8,22,13,46,0,10,67,89,44,1,11,0,36,53,52,24,65,44,4,9,8,27,7,1,9,67,57,20,44,18,8,3,74,74,63,18,14,6,54,37,7,14,31,28,1,57,49,5,69,18,44,70,80,32,21,30,1,14,14,88,63,10,21,38,61,11,34,1,32,15,15,2,7,35,25,13,24,17,34,56,48,43,12,21,11,62,9,63,29,41,4,11,19,58,1,12,92,4,52,86,3,13,68,2,49,32,58,60,16,51,67,26,33,44,8,46,69,38,63,47,30,43,76,80,59,13,29,34,4,18,2,67,42,7,47,37,29,11,60,77,12,5,2,9,45,12,72,38,22,75,1,74,21,15,23,51,11,9,47,0,30,25,12,85,24,20,37,6,52,2,56,35,23,2,49,0,6,71,16,5,39,20,0,47,24,49,4,23,16,24,52,20,25,74,18,18,6,69,84,1,14,38,40,49,13,2,7,16,75,63,78,14,1,36,0,12,57,13,9,13,45,32,3,5,50,34,18,4,72,57,21,35,5,46,67,24,55,9,37,7,10,12,16,24,67,47,20,10,25,28,6,21,49,25,39,43,0,1,10,26,58,18,2,49,55,43,22,15,20,39,23,69,18,9,9,12,55,42,37,5,9,6,21,23,39,62,75,10,59,36,22,63,26,17,14,9,59,38,14,0,25,48,0,8,16,34,9,42,27,18,24,32,21,19,11,41,28,47,6,15,23,47,24,0,22,9,30,1,9,36,11,39,8,1,7,5,29,71,45,45,35,10,8,11,14,24,15,22,75,69,55,4,60,49,32,33,58,6,4,6,7,1,43,94,68,11,12,0,58,74,50,53,20,0,37,34,5,43,8,36,61,11,1,27,26,24,75,62,54,62,33,56,12,21,12,63,10,51,60,31,9,9,42,69,71,69,18,59,6,70,69,5,3,26,22,14,53,5,18,46,1,17,31,1,11,19,1,56,61,80,62,66,20,53,25,31,61,78,40,27,69,20,29,18,35,23,29,11,5,45,46,67,73,50,72,79,13,17,33,15,39,17,41,7,1,15,5,32,9,25,0,43,41,31,2,42,5,63,20,14,49,14,85,11,0,38,17,24,6,10,33,51,44,60,9,21,29,4,27,41,58,18,8,4,81,21,4,33,34,66,8,3,14,0,6,20,48,21,22,27,33,52,43,16,4,69,28,91,56,37,32,10,5,61,54,90,65,8,41,47,87,70,63,65,50,9,52,23,59,7,16,13,3,23,73,46,35,49,27,16,37,11,36,72,13,9,62,66,4,45,25,53,2,82,42,18,7,6,52,28,0,69,9,33,12,10,44,84,17,64,18,41,55,77,18,52,28,27,55,48,43,27,9,14,45,26,19,0,33,43,2,8,7,34,7,58,8,27,40,6,44,65,7,13,69,43,50,31,4,24,23,72,24,19,18,31,41,84,75,23,46,37,42,2,38,68,0,13,25,83,16,71,37,40,46,89,6,0,31,43,36,10,26,64,0,5,50,16,6,3,35,15,3,48,8,18,45,7,61,3,10,52,30,88,46,20,28,56,22,23,3,57,4,30,10,14,45,19,44,45,11,22,23,9,11,21,77,28,42,24,54,36,32,0,7,53,46,5,40,25,11,20,2,66,24,58,20,40,15,46,7,60,58,54,56,44,40,13,41,23,42,0,55,11,25,3,36,52,26,9,55}

{7,88,31,71,28,96,74,66,54,38,90,60,81,81,41,62,37,36,92,86,88,87,34,86,49,56,94,72,68,76,93,82,62,81,65,52,15,49,26,89,43,32,96,56,82,90,79,91,91,72,67,78,96,39,78,89,94,58,56,33,76,78,46,75,67,48,73,22,73,82,63,83,54,78,67,38,40,42,55,79,84,23,94,62,84,93,78,53,23,49,76,72,64,67,33,22,84,20,72,74,31,31,55,90,87,78,46,84,55,33,90,18,81,79,46,39,31,47,82,29,30,70,42,87,64,49,59,35,66,70,76,40,37,62,58,88,68,86,83,81,91,95,12,42,66,72,65,76,77,90,59,72,28,60,66,93,65,51,79,95,15,86,67,59,41,51,66,91,68,80,95,56,48,20,88,86,85,49,22,36,71,56,70,34,87,72,88,61,82,32,90,78,87,83,85,85,51,91,13,27,54,91,68,62,47,92,89,13,71,78,82,68,43,52,86,76,49,88,42,20,52,60,85,90,20,25,31,95,43,81,31,61,41,74,96,93,38,71,96,46,54,96,83,27,87,36,64,61,85,71,95,80,85,52,39,94,67,71,83,50,82,78,86,95,87,84,79,65,46,76,23,81,8,94,77,16,89,65,55,56,90,90,80,53,67,62,65,16,92,83,56,82,23,83,40,62,37,55,67,40,60,50,87,70,95,95,40,72,91,96,91,65,82,68,26,59,75,19,76,77,55,62,83,91,10,89,58,61,49,89,55,77,54,79,93,78,67,74,48,92,90,30,54,78,54,85,84,93,15,42,86,94,82,46,55,94,3,36,85,25,93,56,54,49,35,64,88,75,24,9,86,77,37,42,77,84,88,44,74,29,63,51,68,45,94,57,79,84,33,25,96,72,51,51,69,28,78,68,54,5,51,65,91,32,13,75,79,82,78,52,71,84,56,93,40,68,68,59,74,82,85,71,50,28,32,61,93,73,93,51,72,65,60,70,47,36,49,39,69,68,72,45,62,52,86,58,71,85,39,87,65,64,65,95,50,72,55,86,72,77,69,95,36,78,82,18,94,17,63,71,20,69,54,78,24,60,26,73,72,74,96,48,64,76,42,76,92,59,76,93,78,89,91,81,69,51,89,41,80,51,56,67,24,77,86,95,85,48,27,26,78,89,64,73,82,1,55,43,16,74,63,51,78,57,2,50,92,85,94,89,71,66,81,82,36,30,57,84,13,94,85,89,14,56,77,78,87,72,65,78,39,85,76,33,89,71,31,45,72,91,59,59,34,70,44,31,73,92,41,85,71,88,86,76,68,76,28,79,62,87,89,53,92,67,65,22,81,87,60,95,51,79,63,83,81,78,75,80,83,37,84,53,53,95,55,20,58,41,50,62,86,38,94,65,86,39,70,57,20,72,24,66,75,41,86,27,14,45,24,55,39,86,81,78,72,86,54,59,42,63,81,44,92,19,19,75,95,63,51,73,65,90,71,16,33,14,18,80,74,32,83,88,46,92,76,94,31,78,65,94,74,85,84,76,59,82,84,96,86,22,71,77,95,79,78,75,77,60,78,35,81,76,33,79,71,47,89,71,44,56,37,53,76,74,55,90,92,30,68,88,91,52,96,56,50,93,82,33,65,94,60,93,9,95,55,84,44,13,66,89,65,69,25,47,58,89,76,94,63,72,58,56,89,32,36,70,60,45,66,9,74,52,96,81,73,77,65,96,52,89,60,24,66,91,21,81,88,50,52,43,95,93,77,78,88,63,48,41,47,89,87,57,47,42,80,72,95,86,4,26,75,96,56,80,96,86,82,96,64,6,58,66,75,31,30,71,83,45,55,61,56,59,73,79,70,82,93,85,76,72,91,66,91,67,94,93,63,76,56,65,95,59,35,73,90,91,68,74,50,83,46,51,47,69,92,35,96,41,88,73,75,45,84,43,41,11,95,73,78,89,43,83,64,89,75,85,81,84,85,56,50,89,88,66,88,63,61,51,89,80,73,52,91,17,71,34,37,53,85,57,57,36,70}

Returns: {0, 1, 1, 21, 2, 21, 1, 14, 5, 84, 1, 7, 5, 42, 1, 7, 1, 7, 5, 42, 1, 12, 1, 12, 4, 21, 1, 6, 47, 252, 11, 42, 11, 42, 5, 28, 5, 21, 2, 7, 5, 21, 3, 14, 2, 7, 4, 21, 2, 7, 2, 7, 1, 3, 16, 63, 53, 126, 5, 21, 19, 42, 1, 3, 20, 63, 1, 3, 13, 42, 1, 3, 2, 7, 7, 18, 1, 3, 3, 7, 1, 3, 8, 21, 59, 126, 8, 21, 3, 7, 8, 21, 10, 21, 23, 42, 3, 7, 4, 9, 3, 7, 1, 2, 10, 21, 11, 21, 11, 21, 5, 9, 4, 7, 23, 42, 40, 63, 23, 42, 13, 21, 13, 21, 19, 28, 4, 7, 11, 18, 13, 21, 31, 42, 13, 21, 85, 112, 33, 49, 13, 21, 2, 3, 107, 147, 125, 168, 41, 56, 115, 147, 40, 49, 5, 7, 41, 49, 2, 3, 5, 7, 95, 112, 131, 147, 89, 98, 16, 21, 47, 56, 103, 112, 263, 294, 67, 84, 17, 21, 45, 49, 6, 7, 127, 147, 139, 147, 19, 21, 20, 21, 1, 1 }
100

{60,19,81,52,53,39,39,72,18,12,58,7,0,17,61,19,10,19,36,26,34,44,19,35,73,0,1,45,32,48,1,43,24,27,39,26,57,66,24,56,41,32,19,38,50,37,15,45,66,12,11,57,12,77,34,5,6,15,16,8,13,19,23,1,2,82,33,36,38,41,7,11,65,3,17,43,9,18,62,28,1,33,95,2,28,87,6,19,6,34,15,30,20,20,36,23,16,29,23,20,34,62,25,2,9,23,52,16,28,5,44,34,46,9,21,5,24,1,17,14,54,55,2,69,10,20,37,26,1,18,34,14,18,1,74,4,38,44,39,33,30,8,30,19,9,57,24,20,22,6,50,55,5,65,15,68,8,0,68,50,0,80,2,2,5,12,24,18,0,12,4,6,0,51,53,26,23,96,36,8,46,20,51,0,38,51,31,4,3,32,2,64,32,36,25,3,23,81,20,35,21,20,50,44,18,14,22,2,18,6,17,21,8,46,27,18,13,10,4,51,20,7,79,61,64,59,20,23,22,17,1,55,21,18,3,50,25,43,1,10,24,64,43,4,26,20,34,0,18,6,11,27,7,52,51,53,34,3,16,84,67,5,62,5,22,57,78,41,2,48,82,72,6,30,19,68,19,5,36,15,25,41,72,14,24,37,3,25,13,7,55,40,21,39,24,93,15,0,56,0,38,71,19,8,39,89,31,45,68,11,20,31,23,47,0,13,10,12,15,0,48,61,32,60,15,9,5,2,30,14,48,33,0,5,34,41,18,49,35,63,18,21,29,11,22,63,85,23,17,14,17,69,45,31,11,13,6,0,75,29,20,1,32,0,43,97,64,25,15,56,31,38,21,10,32,77,22,22,83,60,37,33,2,1,56,40,23,12,40,83,21,37,14,10,2,41,8,0,76,98,13,51,86,81,11,91,40,9,10,20,0,70,81,18,29,15,94,5,24,92,79,21,7,30,54,11,73,8,1,53,56,16,13,1,79,1,11,48,25,21,3,19,23,23,14,18,33,6,2,26,25,16,27,48,62,14,74,51,12,5,2,15,46,60,32,56,6,19,37,2,13,39,59,20,40,3,50,38,16,25,10,10,42,19,27,29,62,20,27,24,72,55,20,51,66,17,35,18,19,17,11,19,37,49,51,15,2,39,4,53,9,21,11,47,51,52,17,77,12,2,44,90,15,30,0,59,36,43,11,13,18,20,5,50,22,59,7,9,10,60,10,1,1,42,1,12,72,5,78,7,4,52,26,82,33,20,29,19,62,69,23,62,4,23,3,88,0,22,43,30,20,10,23,62,3,25,11,6,7,17}

{87,73,95,67,61,92,98,76,89,39,76,44,2,65,82,41,47,81,38,45,71,54,70,65,81,3,61,79,46,93,68,99,67,59,90,34,66,70,95,77,72,59,87,71,76,64,62,57,87,97,60,76,60,80,78,60,97,59,75,82,61,68,35,93,19,94,67,91,89,42,58,30,81,72,62,60,31,70,87,96,14,98,99,28,59,99,12,51,95,69,58,49,99,97,61,81,43,65,49,83,48,67,58,65,81,80,59,18,31,39,55,94,74,97,36,21,85,50,66,42,86,96,4,75,57,45,92,31,42,98,93,37,61,40,86,77,40,82,89,59,67,73,92,35,19,71,44,44,41,24,63,66,31,99,92,93,90,1,91,94,45,96,73,29,81,89,65,78,76,86,75,10,18,69,91,42,72,99,96,28,63,32,55,21,61,86,75,69,90,39,14,67,55,48,41,38,45,91,53,59,69,66,83,48,79,90,66,60,23,66,18,46,87,89,36,76,15,35,78,67,64,88,81,78,83,72,93,41,47,84,38,69,72,25,48,80,33,99,58,82,73,74,64,47,47,63,62,7,46,70,45,75,60,88,89,67,81,66,19,98,99,20,72,45,80,87,87,62,94,96,87,81,76,41,26,86,71,89,68,25,31,93,99,59,71,50,26,30,45,29,82,87,24,80,43,99,27,45,67,8,73,99,30,12,80,99,79,73,69,33,33,80,83,78,5,97,26,96,22,49,94,76,76,95,36,39,58,92,56,23,88,78,71,43,93,65,26,74,39,76,76,74,62,22,95,83,88,30,45,97,75,92,76,55,68,80,80,9,78,34,38,63,50,16,56,99,92,40,59,99,92,61,87,31,57,83,43,58,94,69,81,81,65,24,82,82,82,90,96,93,98,67,19,33,31,44,54,11,85,99,82,77,94,86,28,99,54,65,48,96,6,86,94,20,88,90,99,60,74,94,88,74,93,53,89,56,81,81,13,62,70,71,81,44,81,52,50,94,73,40,96,34,48,88,91,71,45,10,24,64,45,71,92,91,77,56,90,81,59,21,53,74,77,91,60,70,82,52,41,32,27,59,92,74,69,47,55,77,20,89,25,12,86,47,68,87,97,28,40,57,80,97,40,94,97,77,50,93,22,39,60,43,47,91,93,34,63,83,89,74,17,71,50,57,89,98,92,87,46,59,96,97,30,80,22,94,99,70,86,97,60,70,22,60,27,66,45,52,19,70,94,57,36,46,34,53,93,86,98,57,34,68,64,88,78,71,40,88,89,70,68,80,76,79,23,99,66,41,58,39,82,15,42,67,72,52,34,71,52,84}

Returns: {0, 1, 1, 13, 1, 13, 2, 13, 220, 819, 37, 312, 1, 13, 29, 189, 131, 819, 1, 13, 2, 13, 2, 13, 262, 819, 2, 13, 2, 13, 3, 13, 3, 26, 2, 13, 3, 13, 3, 13, 29, 91, 37, 156, 4, 13, 4, 13, 37, 104, 4, 13, 283, 819, 5, 13, 38, 91, 58, 189, 5, 13, 47, 91, 37, 91, 75, 182, 29, 63, 73, 182, 6, 13, 4, 13, 7, 13, 45, 91, 8, 13, 6, 13, 7, 13, 37, 78, 7, 13, 46, 91, 8, 13, 17, 36, 129, 182, 57, 104, 137, 273, 11, 26, 23, 52, 131, 273, 19, 26, 8, 13, 185, 312, 109, 182, 97, 156, 53, 91, 163, 273, 17, 26, 157, 273, 9, 13, 185, 312, 111, 182, 9, 13, 497, 624, 15, 26, 9, 13, 10, 13, 291, 364, 61, 91, 59, 91, 37, 52, 10, 13, 10, 13, 37, 52, 11, 13, 58, 91, 21, 26, 69, 91, 41, 52, 21, 26, 7, 13, 11, 13, 11, 13, 12, 13, 12, 13, 45, 52, 21, 26, 80, 91, 21, 26, 47, 52, 12, 13, 80, 91, 47, 52, 47, 52, 12, 13, 1, 1 }
100

{22,10,19,63,59,20,37,48,25,62,16,54,71,52,53,40,71,46,64,19,13,78,62,11,0,52,23,54,19,64,26,24,85,18,53,20,59,21,9,8,33,9,56,18,46,4,30,13,0,25,12,92,26,13,65,54,9,13,55,23,19,9,12,21,13,15,68,17,12,91,36,21,0,62,41,31,0,9,17,87,14,31,1,37,53,52,63,21,52,6,22,35,0,10,33,34,12,34,1,17,5,23,27,36,55,71,7,48,5,59,7,14,25,13,19,4,22,41,14,30,42,30,31,9,42,27,6,3,46,10,56,82,0,0,25,40,29,67,20,16,24,2,53,19,2,56,97,48,19,40,6,18,17,9,57,31,39,38,11,61,40,1,88,23,33,63,91,22,53,65,32,37,77,37,4,57,16,23,7,14,31,73,23,20,29,19,35,6,16,49,76,41,31,69,77,7,34,14,28,73,21,95,27,74,53,24,67,16,36,1,80,43,6,59,16,8,57,57,42,10,20,67,44,16,74,14,27,23,28,28,40,4,23,18,34,70,20,27,98,11,3,4,8,6,0,35,27,44,66,32,0,86,40,12,17,24,23,39,1,31,27,42,53,31,65,62,47,21,29,54,55,5,2,13,48,14,24,28,36,7,13,32,21,8,6,40,19,35,6,31,20,75,13,5,51,69,15,65,81,5,40,60,40,53,34,68,41,10,55,4,10,38,32,4,59,44,4,58,61,12,0,68,6,60,5,5,12,37,48,2,51,60,11,50,21,2,49,63,36,27,2,54,29,74,5,77,57,31,45,14,6,12,29,64,13,41,18,75,54,20,7,31,16,72,62,0,2,4,13,21,9,5,5,22,7,6,39,22,9,12,54,65,19,66,14,71,24,19,51,32,18,28,17,4,40,20,23,24,4,30,33,38,32,36,38,0,40,2,55,65,12,22,1,15,1,1,57,50,57,28,5,6,51,11,29,12,37,84,8,40,4,34,9,12,65,5,43,12,20,32,16,38,12,14,6,26,68,52,21,8,9,7,58,66,74,39,12,39,1,55,51,13,64,3,8,49,16,43,3,38,7,9,25,73,61,17,7,34,25,72,19,10,17,71,72,49,3,84,13,33,20,63,9,67,73,55,7,16,65,20,50,20,93,52,38,44,7,39,60,14,78,10,61,10,15,20,9,55,11,65,21,7,76,56,48,52,34,13,19,50,43,26,37,63,14,24,60,18,64,41,30,64,19,13,47,35,29,43,37,36,38,45,77,71,29,79,3,28,14,67,27,14,2,17,25,1,80,26,79,40,43,13,56,5,80,46,47,11,37,43,7,68,55,43,5,57,7,44,39,44,13,91,61,24,33,15,6,46,11,18,17,1,36,64,36,6,11,24,22,7,39,12,19,69,10,16,26,82,30,14,38,30,6,29,39,10,15,79,4,44,15,32,4,28,5,77,13,74,43,10,39,8,40,9,90,53,30,38,87,29,32,20,46,34,21,58,73,32,33,0,82,43,28,6,48,1,90,21,17,30,11,56,27,52,44,77,5,11,12,1,62,9,42,9,13,15,23,3,18,43,0,46,29,4,56,49,63,48,6,33,46,60,19,57,7,50,63,62,9,2,8,58,22,18,46,37,62,23,0,32,44,16,28,43,27,96,83,40,26,14,46,11,28,15,63,6,39,28,94,3,46,55,32,40,40,23,40,32,47,0,27,72,21,78,32,26,23,21,62,44,10,0,1,17,78,60,79,0,28,82,28,22,70,52,61,89,85,1,58,23,51,10,0,14,62,17,5,15,17,16,53,11,7,4,53,48,37,12,67,44,42,10,82}

{52,54,63,88,83,95,45,55,78,98,47,84,87,75,85,49,88,79,96,59,69,88,65,52,1,98,49,95,57,68,90,98,89,92,71,94,65,38,92,26,68,43,99,76,79,38,34,52,35,77,63,94,88,86,70,63,23,26,89,92,36,71,45,62,15,86,88,83,50,95,92,75,11,73,80,61,2,43,18,91,20,92,44,84,81,88,81,83,88,17,61,80,8,45,76,53,27,68,82,96,11,92,71,48,72,96,70,81,75,79,51,73,76,88,97,85,70,50,32,48,59,58,65,79,48,45,55,24,71,83,95,98,14,6,71,71,84,92,89,23,32,10,85,63,15,85,99,72,36,70,38,25,92,61,62,38,79,50,74,81,72,37,94,39,90,84,96,75,68,84,67,53,99,45,71,63,66,36,17,94,32,92,83,96,37,36,48,65,69,60,92,51,33,99,87,68,82,42,39,90,79,98,55,83,85,58,76,59,87,53,94,66,96,79,95,10,72,77,54,37,25,85,66,74,78,86,33,58,41,37,73,79,78,81,86,78,91,43,99,53,46,12,57,39,3,38,72,51,78,59,19,90,47,49,48,38,46,68,88,34,75,78,98,89,70,80,87,26,85,71,84,52,85,45,50,24,34,72,85,19,79,88,48,62,10,71,50,70,12,60,55,89,28,80,78,75,90,93,84,19,52,80,51,83,49,71,74,45,75,77,37,62,60,53,64,76,27,59,65,22,4,73,51,95,90,65,38,52,84,89,54,73,27,72,39,66,91,79,44,65,11,77,42,84,93,90,62,69,61,71,80,83,42,92,69,63,19,90,57,22,75,95,34,90,67,72,16,60,83,77,25,94,80,24,33,20,76,37,59,67,67,99,70,70,54,78,50,59,87,53,92,38,24,91,66,49,64,93,21,81,63,62,67,58,93,91,92,87,61,74,91,73,84,25,41,37,82,82,86,65,79,69,74,65,53,24,62,87,27,86,26,44,35,77,91,99,49,17,89,77,76,39,40,51,64,67,93,78,55,79,66,14,84,75,89,71,38,63,65,75,56,22,72,11,17,53,89,95,7,71,44,24,29,76,96,38,31,74,83,99,51,24,41,79,86,55,59,87,36,63,66,84,61,80,83,94,60,97,96,65,85,94,99,68,40,50,31,95,81,61,84,99,77,47,91,70,45,76,40,70,24,73,81,74,99,86,50,59,54,56,69,32,78,93,49,43,70,57,83,67,38,69,90,38,83,68,75,99,46,99,50,63,98,72,82,92,10,80,46,88,88,55,57,23,95,82,85,99,88,54,95,53,66,9,94,52,76,55,86,84,9,71,86,94,76,77,82,49,85,74,75,94,97,31,62,78,67,68,68,20,69,28,83,92,89,82,89,33,23,15,77,52,59,91,21,94,77,93,38,77,86,47,12,72,92,95,47,95,65,65,59,44,99,61,82,99,24,80,57,93,81,68,49,52,98,97,89,73,95,30,78,66,89,63,72,82,99,97,56,7,98,58,66,83,91,99,99,85,56,91,80,70,28,64,46,84,93,64,67,74,84,17,51,70,96,16,96,75,29,77,10,94,98,95,60,85,92,90,92,48,60,80,73,67,64,87,96,70,88,38,51,75,71,99,85,45,85,54,51,93,60,83,59,59,82,99,84,82,91,55,83,50,54,17,82,20,76,96,96,83,77,62,46,59,85,99,99,60,99,36,77,91,27,80,73,53,74,52,99,56,70,13,44,50,95,96,82,5,71,95,49,83,83,95,91,99,91,40,60,88,95,14,51,97,68,75,84,72,54,35,89,81,70,56,74,57,44,75,79,78,61,66,99}

Returns: {0, 1, 63, 400, 3, 50, 1, 25, 4, 75, 3, 50, 4, 75, 2, 25, 3, 50, 3, 25, 3, 25, 31, 200, 8, 75, 3, 50, 9, 50, 3, 25, 16, 75, 4, 25, 1, 5, 22, 75, 6, 25, 37, 200, 7, 25, 1, 3, 8, 25, 7, 25, 117, 400, 1, 4, 63, 200, 8, 25, 9, 25, 9, 25, 2, 5, 31, 75, 2, 5, 23, 75, 29, 75, 19, 50, 2, 5, 13, 25, 11, 25, 159, 400, 59, 150, 31, 80, 11, 25, 39, 80, 49, 100, 29, 50, 7, 15, 59, 120, 13, 25, 12, 25, 27, 50, 679, 1200, 13, 25, 163, 300, 43, 75, 14, 25, 91, 200, 209, 400, 47, 75, 119, 200, 3, 5, 33, 50, 59, 100, 97, 150, 19, 30, 33, 50, 16, 25, 829, 1200, 52, 75, 69, 100, 303, 400, 17, 25, 52, 75, 19, 24, 18, 25, 279, 400, 37, 50, 23, 30, 59, 75, 19, 25, 253, 300, 56, 75, 4, 5, 5, 6, 33, 40, 21, 25, 253, 300, 11, 12, 357, 400, 22, 25, 253, 300, 553, 600, 23, 25, 23, 25, 24, 25, 319, 400, 24, 25, 1, 1 }
100

{1,93,31,16,15,25,6,59,9,62,76,84,14,48,74,15,7,11,98,10,1,64,75,76,49,27,10,3,67,0,36,12,24,9,88,58,7,36,35,65,70,85,0,21,37,15,70,13,44,7,23,36,53,45,43,25,41,17,41,62,60,1,24,75,67,23,29,48,81,72,5,6,68,33,41,46,52,5,0,30,47,33,28,9,41,16,5,4,72,44,42,32,83,74,21,0,14,26,55,17,21,55,85,12,24,24,17,13,6,31,18,14,4,20,6,20,11,36,38,50,48,48,24,72,4,38,72,37,11,37,33,66,38,88,41,34,21,46,92,68,24,17,11,29,75,22,27,72,97,32,23,25,34,40,19,6,51,52,8,14,65,25,11,37,12,7,29,42,10,12,33,37,28,3,81,3,3,3,12,54,17,56,33,28,10,15,67,64,25,32,63,48,65,35,34,1,76,26,15,27,40,27,47,42,30,11,19,31,32,17,35,23,15,12,17,54,75,22,80,47,54,18,78,3,45,44,11,4,35,55,85,25,24,34,59,18,52,67,34,2,35,0,87,12,38,41,29,12,5,74,12,59,33,16,21,5,27,22,24,14,17,2,0,61,38,31,36,42,38,16,91,39,57,83,31,55,13,6,24,24,24,40,81,11,0,6,22,10,51,68,1,72,46,8,36,43,65,29,88,24,79,79,23,14,87,48,10,39,3,17,16,2,96,56,38,22,6,51,49,3,10,51,72,7,40,7,14,6,23,22,34,79,12,35,41,12,22,10,45,7,43,11,72,71,68,2,4,38,36,9,8,43,12,33,86,53,11,9,18,11,84,0,12,7,24,4,49,0,14,26,85,40,45,54,13,51,15,33,21,40,78,19,4,0,26,27,29,27,50,3,38,45,9,18,42,15,6,2,32,39,11,94,56,45,83,9,33,26,67,34,18,38,10,0,23,32,41,62,5,26,1,22,14,25,14,6,40,7,49,60,13,43,15,44,12,59,30,39,9,57,39,29,31,0,3,8,7,1,22,9,91,57,0,19,0,20,5,6,2,32,11,39,17,12,68,42,2,4,7,15,9,84,72,66,13,4,83,19,17,24,45,10,57,58,45,15,8,10,29,28,26,38,8,35,23,47,13,64,11,15,74,14,55,11,0,67,49,15,12,63,23,10,1,59,0,4,59,4,26,42,9,73,24,32,60,37,6,27,77,81,89,10,48,26,0,0,54,57,60,27,0,49,25,11,77,22,30,81,22,38,60,27,17,18,0,20,69,8,75,7,7,28,76,82,27,27,50,22,69,4,23,73,40,90,17,58,7,8,43,55,15,58,38,20,95,26,18,27,80,75,5,18,14,17,4,65,51,55,17,33,44,12,72,29,2,58,21,34,7,46,14,68,5,21,14,19,10,2,67,51,50,64,37,23,27,31,48,58,83,60,76,53,38,29}

{15,99,52,98,75,70,97,67,35,81,94,94,76,74,92,43,13,58,99,88,53,99,89,95,79,37,77,16,76,23,65,40,89,94,91,81,62,57,68,78,76,92,24,50,85,45,97,98,85,25,52,39,61,78,99,98,89,80,85,94,62,41,66,97,82,32,31,89,95,89,14,89,72,94,87,72,90,56,4,78,54,56,42,29,83,45,9,31,99,83,55,94,88,77,99,5,58,46,75,42,92,69,92,63,67,92,30,30,29,56,86,32,73,53,66,26,20,62,82,92,90,96,88,79,17,59,74,44,55,65,98,95,46,89,50,95,95,63,93,70,35,62,69,46,79,95,94,92,99,83,80,95,57,73,31,87,70,62,67,16,75,53,35,58,89,20,88,81,11,21,96,54,52,38,97,34,71,82,89,68,93,93,68,46,85,47,71,81,53,38,93,84,94,73,50,98,89,59,63,83,85,29,93,66,60,99,96,60,43,37,54,36,65,25,25,81,99,98,96,76,56,30,97,95,78,97,17,98,63,65,91,37,46,66,80,95,84,98,44,47,41,78,93,19,75,60,72,81,79,77,22,62,67,45,66,56,34,65,49,22,21,14,12,81,68,59,94,60,83,40,95,84,89,93,35,87,43,13,71,96,28,83,84,71,22,77,40,89,87,88,82,91,56,82,63,76,90,48,96,51,81,96,46,61,97,51,78,94,18,85,47,14,99,93,52,62,71,65,85,59,79,85,76,68,75,82,42,74,63,85,38,83,89,79,53,79,67,33,55,25,98,13,90,97,80,57,94,83,72,40,27,68,25,64,90,96,40,80,75,40,94,6,40,57,56,10,84,32,86,41,98,91,64,99,42,63,96,91,77,87,90,93,80,27,42,95,55,84,86,75,71,94,31,69,83,97,17,54,58,80,13,97,89,61,97,70,51,55,84,95,48,74,61,99,93,54,64,68,80,63,9,43,50,98,81,26,74,45,90,84,37,99,49,46,25,79,79,89,69,96,71,67,51,95,45,45,29,3,37,49,98,70,1,21,79,46,41,38,22,69,85,64,62,45,81,69,8,26,89,78,72,99,87,98,46,81,90,83,92,68,55,82,82,82,76,81,70,44,73,59,30,68,69,61,57,54,72,88,87,99,90,40,64,36,2,89,65,33,66,92,92,28,99,87,98,64,91,77,84,48,47,76,68,84,96,92,67,54,97,89,95,50,73,83,48,94,62,66,68,35,55,83,59,69,88,88,82,93,86,40,99,82,93,47,7,82,86,9,87,85,54,77,78,99,33,30,95,56,71,36,72,81,87,92,90,60,28,45,74,69,53,71,42,88,99,93,31,33,93,82,8,63,79,85,40,84,81,74,67,70,91,68,95,69,67,79,27,52,89,89,84,71,8,76,72,32,81,57,70,64,53,72,79,91,59,77,71,75,90,95,79,80,98,89}

Returns: {0, 1, 2, 21, 1, 12, 4, 21, 1, 21, 1, 12, 2, 21, 5, 42, 1, 6, 1, 4, 2, 21, 1, 7, 5, 63, 16, 63, 67, 378, 31, 126, 37, 126, 4, 21, 2, 7, 10, 63, 5, 21, 5, 21, 205, 756, 1513, 10584, 22, 147, 5, 18, 1, 3, 2, 7, 44, 147, 1, 3, 3, 7, 8, 21, 1513, 5292, 62, 147, 50, 147, 3, 7, 97, 324, 23, 63, 58, 147, 14473, 31752, 295, 588, 10, 21, 22, 49, 4789, 10584, 88, 189, 727, 1764, 107, 189, 25, 63, 74, 147, 515, 1176, 47, 84, 82, 147, 71, 147, 9, 14, 1, 2, 26, 49, 139, 189, 74, 147, 4, 9, 71, 147, 11, 21, 61, 84, 4, 7, 139, 189, 30, 49, 92, 147, 107, 147, 169, 294, 13, 21, 94, 147, 2, 3, 39, 49, 2, 3, 179, 294, 46, 63, 34, 49, 5, 7, 50, 63, 11, 14, 16, 21, 11, 14, 17, 21, 83, 98, 17, 21, 6, 7, 215, 294, 110, 147, 121, 147, 6, 7, 19, 21, 6, 7, 19, 21, 19, 21, 20, 21, 19, 21, 20, 21, 13, 14, 20, 21, 20, 21, 1, 1 }
100

{2,62,55,0,58,14,43,43,23,20,23,31,9,0,18,29,6,49,15,38,92,43,38,5,3,76,30,19,14,27,34,69,37,4,11,14,21,4,46,17,52,14,21,9,74,45,28,68,13,31,81,42,15,39,21,40,61,2,43,18,30,23,96,35,71,34,14,44,47,27,52,19,7,32,25,38,0,43,12,34,24,72,59,66,2,47,26,16,18,8,23,89,22,14,41,40,8,38,11,53,5,30,12,9,66,22,31,36,44,12,20,86,26,33,14,62,21,70,41,18,63,0,59,18,87,28,16,56,17,0,9,54,35,94,3,53,59,18,27,16,14,71,96,20,63,40,11,67,66,0,64,5,1,50,59,33,13,41,12,10,8,0,67,35,11,26,8,17,47,57,9,2,23,7,15,15,14,3,70,4,74,51,32,54,35,37,30,2,15,10,2,52,11,7,11,9,6,16,30,9,85,7,31,38,0,15,74,31,53,6,31,17,41,34,36,0,17,22,13,48,29,32,4,15,40,85,15,13,65,11,40,25,7,52,16,38,31,68,9,2,58,46,0,4,67,52,38,30,0,63,53,16,27,2,39,38,90,14,19,79,40,3,28,64,20,35,71,30,91,15,11,15,84,7,71,17,24,5,97,60,0,41,28,9,39,13,95,10,52,1,47,63,16,9,24,17,59,5,3,11,7,60,9,55,11,2,78,23,85,21,2,9,77,33,9,31,4,53,26,78,60,17,48,41,10,76,35,42,42,24,47,48,20,19,51,30,62,90,34,8,61,79,54,67,6,92,47,2,26,17,0,33,12,54,55,31,57,1,32,30,85,33,7,52,66,12,4,52,40,20,41,33,60,21,3,13,11,54,61,8,11,25,21,58,58,30,24,17,78,6,57,14,69,10,37,63,84,16,35,11,2,56,37,1,49,89,48,34,61,0,0,11,49,80,32,10,15,2,35,1,40,25,31,13,14,36,7,89,13,0,30,30,34,25,17,71,12,11,11,5,72,9,15,24,7,0,30,20,38,71,51,47,66,7,14,5,47,58,1,90,38,6,17,7,22,42,79,5,0,78,4,20,34,40,81,17,27,15,43,56,17,32,78,14,0,24,39,38,6,18,20,77,2,70,25,29,30,73,0,13,38,59,63,75,26,13,33,43,13,62,2,26,85,98,73,64,0,7,82,16,5,26,38,4,53,57,34,24,11,8,61,48,34,67,11,14,7,10,40,2,17,63,39,62,59,31,53,5,19,35,3,11,16,27,74,13,27,62,59,4,28,46,26,20,33,38,25,36,36,18,1,12,4,0,28,20,72,1,64,1,16,53,0,86,0,12,4,29,2,78,38,72,40,59,42,3,55,1,21,29,23,10,22,10,20,33,19,74,34,31,2,46,3,70,8,27,41,35,71,35,88,14,30,0,7,13,21,20,32,5,41,58,30,49,61,15,63,50,2,64,8,24,3,41,67,63,46,49,63,19,69,16,35,30,32,1,15,6,68,5,81,45,36,61,66,15,80,10,23,11,12,28,34,39,6,70,31,17,1,56,46,5,5,69,51,6,57,35,18,38,3,54,11,36,20,18,25,2,9,43,19,64,90,72,28,29,57,48,89,34,31,34,29,7,27,49,3,17,0,0,83,6,27,22,4,11,0,53,79,26,15,93,13,42,59,34,27,29,59,11,12,30,42,66,34,10,18,12,12,21,5,77,78,23,42,27,11,55,14,25,71,79,45,17,67,47,57,13,53,22,79,39,42,0,15,9,44,48,7,62,2,75,6,10,29,4,4,38,5,31,5,53,34,59,33,23,40,35,45,40,2,7,22,28,16,19,47,61,25,1,16,2,37,49,44,13,19,50,21,60,12,31,12,18,10,22,69,34,65,19,79,33,41,31,37,11,52,0,6,15,1,33,21,34,15,57}

{9,72,88,82,83,31,93,82,92,88,59,97,76,62,50,63,98,59,29,76,96,72,54,73,70,80,60,45,58,94,86,87,56,90,82,55,76,36,57,60,85,19,79,42,95,49,32,73,94,63,95,57,70,87,33,75,67,41,54,23,50,53,97,73,96,88,99,81,96,59,91,47,56,72,27,40,68,52,51,64,80,89,72,76,13,54,84,82,49,32,97,99,59,21,69,93,86,95,89,93,8,88,63,38,73,63,77,73,88,76,95,88,32,98,74,85,52,78,93,43,90,65,88,32,94,62,44,96,48,87,87,98,78,99,18,92,72,92,86,43,90,88,99,35,77,57,53,80,99,87,92,32,97,68,80,89,79,58,21,41,78,74,94,83,39,45,85,97,98,74,73,17,42,45,73,63,64,14,80,73,89,81,96,85,91,86,86,9,33,37,56,97,60,11,85,35,16,37,65,32,87,73,95,67,33,50,97,68,93,22,39,43,99,93,57,70,73,70,40,73,65,51,69,26,47,95,68,42,80,35,77,49,77,64,75,51,54,95,57,89,72,48,3,83,71,64,52,39,43,65,57,78,45,58,71,92,91,49,74,92,65,49,83,69,62,62,99,37,98,70,78,38,91,49,94,82,35,67,99,88,95,60,63,59,65,58,96,63,59,61,84,99,69,31,96,71,99,10,81,34,75,98,81,71,38,52,90,75,92,89,13,25,93,81,97,71,50,68,38,86,96,81,85,91,90,88,73,51,43,49,70,84,37,77,76,73,84,96,97,64,90,85,82,90,10,98,56,20,37,65,94,80,51,76,71,98,66,78,39,68,96,62,68,82,89,93,58,82,77,61,44,50,61,47,75,80,18,62,97,39,97,69,81,65,66,84,28,57,97,76,69,55,91,14,69,98,91,98,84,59,99,87,70,25,62,98,65,55,89,33,56,97,59,98,41,20,49,9,72,75,63,75,62,80,44,67,99,91,58,98,70,35,50,96,19,90,56,14,77,19,92,50,18,66,92,2,53,47,84,92,82,94,94,85,77,81,57,70,73,93,53,55,92,20,42,66,86,97,7,83,66,88,62,56,87,22,88,60,80,74,89,61,94,98,94,65,72,85,34,62,60,79,24,92,45,46,60,83,25,82,71,84,98,90,61,89,77,91,94,98,46,53,92,99,91,93,46,90,98,23,99,71,92,53,92,62,77,37,94,73,63,57,56,87,41,49,10,76,53,30,63,69,94,86,90,52,68,55,68,57,17,24,72,29,95,18,43,95,88,52,33,70,75,99,68,49,62,89,72,77,16,98,70,97,36,35,87,45,74,98,82,59,1,89,4,72,73,34,84,98,65,92,88,62,52,11,74,43,89,63,95,13,99,79,63,52,51,97,84,80,67,54,6,94,28,54,95,82,73,59,99,99,40,43,45,61,65,45,58,67,43,62,52,83,91,95,66,82,18,84,82,67,28,45,70,77,74,84,81,82,73,40,42,91,51,15,71,28,85,86,97,65,91,97,84,64,86,87,25,41,45,41,72,70,22,89,33,72,28,58,65,14,30,77,61,69,97,79,20,91,68,97,51,80,34,84,88,27,56,65,93,80,92,91,62,51,58,62,96,41,45,88,80,35,86,67,83,42,74,5,84,50,88,54,28,40,49,82,89,58,51,97,33,82,72,38,92,64,74,66,57,52,80,78,69,23,98,42,62,92,35,83,83,78,66,54,36,75,94,49,92,91,51,64,81,51,68,29,83,78,82,90,56,59,31,99,74,57,55,81,55,76,85,42,33,67,64,81,10,72,12,73,51,93,64,88,67,91,65,48,17,93,39,60,99,26,91,73,39,66,51,65,60,78,56,78,59,90,87,97,42,89,51,95,48,26,84,67,94,33,88,64,75,68,43,85,85,77,67,20,94,85,67,46,87,82}

Returns: {0, 1, 5, 72, 1, 12, 1, 24, 811, 5184, 1, 16, 1, 12, 1, 16, 973, 5184, 3, 16, 1, 8, 113, 864, 29, 144, 1, 6, 43, 216, 5, 36, 1, 6, 217, 1296, 5, 24, 77, 288, 37, 128, 49, 144, 163, 648, 1, 4, 575, 2592, 7, 24, 145, 432, 1, 3, 811, 2592, 3, 8, 29, 128, 293, 864, 349, 864, 23, 48, 5, 12, 71, 192, 2377, 5184, 749, 1728, 11, 24, 973, 1728, 1, 2, 17, 36, 173, 384, 17, 32, 617, 1152, 19, 36, 31, 64, 13, 24, 53, 96, 43, 72, 7, 12, 7, 12, 85, 144, 53, 96, 23, 36, 19, 36, 115, 192, 29, 48, 21, 32, 2, 3, 79, 144, 5, 8, 53, 72, 2, 3, 187, 288, 35, 48, 17, 24, 97, 144, 11, 16, 17, 24, 13, 18, 13, 18, 29, 36, 37, 48, 37, 48, 23, 36, 3, 4, 3, 4, 37, 48, 19, 24, 19, 24, 29, 36, 7, 8, 59, 72, 125, 144, 5, 6, 5, 6, 8, 9, 11, 12, 7, 8, 79, 96, 11, 12, 7, 8, 57, 64, 17, 18, 7, 8, 11, 12, 23, 24, 23, 24, 1, 1 }
100

{26,6,5,53,35,6,2,36,29,61,8,15,30,47,48,5,74,25,27,6,51,37,15,17,7,22,50,18,34,48,20,54,51,3,4,4,29,52,24,2,13,82,32,44,24,4,63,68,94,37,3,16,9,0,27,29,0,19,12,8,76,72,80,32,35,35,25,34,18,37,28,2,10,18,24,9,2,38,13,14,49,13,26,5,7,79,12,64,14,53,16,62,4,38,27,3,15,38,48,13,5,11,4,63,29,17,36,9,12,23,0,2,20,50,24,23,68,43,11,41,2,85,15,31,0,9,21,69,20,87,25,62,64,39,25,48,27,84,9,54,10,47,13,70,43,6,6,31,29,11,21,9,13,46,41,36,88,47,61,43,36,43,36,4,19,26,38,39,38,20,20,50,26,33,48,16,58,0,33,14,1,49,38,67,26,26,33,18,24,40,81,31,54,24,1,45,23,44,48,44,13,78,50,4,14,0,42,87,27,34,14,35,24,42,5,12,36,43,44,18,52,42,8,19,1,22,29,1,44,42,57,10,11,12,25,20,28,32,4,32,83,12,27,55,8,53,22,3,55,67,72,7,87,42,11,58,33,29,19,6,25,6,54,33,15,14,22,42,28,43,26,36,46,35,77,7,34,9,20,40,82,27,8,34,6,96,7,17,46,49,61,18,35,59,59,77,68,3,42,2,19,75,14,11,31,52,32,40,36,7,43,39,6,9,16,22,27,14,58,98,24,16,3,41,14,4,32,38,17,14,41,7,89,39,57,2,40,29,19,3,25,31,78,28,23,16,24,63,2,32,61,10,32,12,10,8,67,9,56,29,36,17,64,81,82,8,52,9,16,38,48,20,65,8,28,25,29,91,60,38,1,23,60,38,10,19,27,60,28,30,51,28,75,13,71,79,33,0,5,58,33,15,27,22,50,37,26,21,6,74,1,75,42,14,20,0,52,2,66,27,37,17,30,31,15,1,8,62,18,29,58,33,45,0,21,18,47,69,35,29,44,17,44,0,14,92,72,17,25,30,44,25,2,45,53,17,2,30,7,51,28,54,44,86,52,27,42,0,78,0,41,13,70,2,2,2,46,54,36,1,33,33,48,0,26,3,49,22,1,39,41,10,44,56,59,6,9,36,11,15,34,97,13,28,50,25,39,48,47,44,0,20,84,23,11,0,82,35,25,24,73,47,9,90,41,7,32,2,14,13,22,14,47,21,54,28,22,35,8,12,12,75,29,18,0,15,67,9,19,11,40,3,34,93,51,0,21,38,23,83,95,32,11,6,33,19}

{39,13,9,58,58,11,21,37,53,97,13,68,65,63,52,91,77,89,32,62,93,64,26,92,46,82,56,57,99,82,69,89,54,30,59,15,48,58,57,9,91,87,65,62,37,52,85,98,99,89,13,37,44,19,83,93,12,44,32,89,99,92,92,85,99,37,96,88,99,66,64,32,28,20,94,93,57,93,89,40,57,93,68,27,60,88,58,89,35,69,63,75,7,67,33,17,90,99,66,96,25,39,27,64,82,65,51,15,45,80,17,82,63,91,56,90,91,64,21,70,80,99,35,62,3,65,55,93,22,91,66,95,77,85,44,99,56,90,60,60,16,84,77,85,66,43,64,44,48,70,40,52,40,92,48,68,96,50,84,62,91,72,79,47,98,91,86,50,40,95,83,93,33,65,82,25,82,4,89,95,46,96,83,84,42,74,68,40,44,54,85,34,94,29,98,47,81,69,81,55,42,94,88,68,83,10,84,92,48,37,98,41,49,47,93,55,88,77,72,76,91,87,53,89,98,40,41,48,56,84,77,59,17,48,37,70,94,90,21,77,90,46,92,68,67,98,32,57,58,76,94,64,93,47,66,74,86,71,35,79,66,34,98,47,24,93,51,46,44,88,52,53,50,93,90,67,88,61,81,76,94,38,55,63,98,99,22,93,81,86,88,26,59,90,89,87,83,46,82,79,70,97,28,79,81,90,80,97,61,13,65,68,45,81,42,52,71,99,79,99,52,34,27,87,90,23,72,83,20,36,86,62,92,89,86,49,80,54,99,88,56,53,79,88,60,17,50,86,55,98,99,78,93,71,53,27,78,72,82,92,84,56,80,90,90,88,83,48,58,71,88,58,99,69,91,68,36,96,79,93,92,27,67,51,89,62,46,88,39,43,94,52,84,47,75,97,83,8,89,93,45,88,39,68,89,67,62,90,78,78,65,77,74,49,77,54,70,99,75,75,80,18,56,62,67,59,28,65,56,73,98,61,68,14,86,97,90,91,51,82,88,97,55,6,15,99,81,79,59,68,96,70,37,89,66,40,29,48,31,58,92,76,94,94,60,74,45,33,92,2,45,46,86,15,73,81,78,94,44,71,48,42,51,86,90,88,95,79,83,97,62,67,91,87,99,21,16,88,39,19,42,99,30,57,65,75,91,52,68,55,5,50,94,68,62,48,89,55,53,87,96,73,19,97,62,9,97,60,87,94,27,68,48,95,98,46,64,67,78,21,91,92,74,82,1,57,83,27,33,86,74,61,60,99,80,74,43,88,50,90,99,50,29,69,56,45}

Returns: {0, 1, 1797, 6440, 3, 46, 5, 46, 1, 23, 3, 46, 5, 69, 2, 23, 1543, 12075, 3, 23, 2, 23, 10, 69, 6172, 36225, 3086, 12075, 12, 115, 24, 115, 4, 23, 5, 23, 6, 23, 33, 115, 7, 23, 12344, 36225, 8, 23, 5, 23, 33, 115, 286, 805, 8, 23, 9, 23, 1349, 4200, 42, 115, 1543, 4025, 5, 23, 1657, 3220, 10, 23, 8, 23, 42, 115, 363, 805, 2719, 4830, 34, 69, 1657, 3220, 41, 69, 51, 115, 11, 23, 6172, 12075, 432, 805, 12, 23, 1797, 3220, 13, 23, 14, 23, 1112, 2415, 1027, 1610, 15, 23, 106, 161, 2719, 4830, 16, 23, 501, 805, 572, 805, 1531, 2415, 114, 161, 983, 1610, 17, 23, 4147, 6440, 1543, 2415, 104, 161, 117, 161, 1979, 2415, 326, 483, 18, 23, 4699, 6440, 7099, 9660, 2879, 3864, 298, 483, 2101, 3220, 35, 46, 122, 161, 358, 483, 41, 46, 130, 161, 19, 23, 20, 23, 533, 644, 1237, 1610, 1261, 1610, 77, 92, 77, 92, 2847, 3220, 1607, 1932, 6, 7, 21, 23, 689, 805, 41, 46, 146, 161, 13, 14, 13, 14, 169, 184, 1979, 2415, 22, 23, 87, 92, 11139, 12880, 1, 1 }
100

{77,56,21,21,17,2,20,26,5,72,32,34,35,35,65,56,65,72,1,46,31,53,21,42,53,33,7,73,26,93,45,58,40,31,17,29,76,14,26,55,32,43,4,11,18,10,0,17,74,59,14,7,0,2,64,39,34,28,47,0,2,63,15,70,27,30,27,10,41,25,18,23,52,96,48,42,17,17,35,14,54,37,37,44,39,6,4,64,74,60,25,37,25,18,4,0,50,23,10,71,60,62,74,7,23,39,43,61,4,18,13,2,22,10,75,29,26,28,52,40,59,17,17,42,23,16,1,40,73,62,81,16,48,34,8,32,98,23,12,20,17,84,24,42,9,42,14,36,53,24,77,11,41,11,34,32,6,13,8,46,28,34,58,17,59,6,17,63,47,7,34,58,1,51,71,11,55,18,35,54,17,5,0,45,75,42,0,21,34,20,75,26,43,63,55,23,13,56,41,11,6,9,12,8,75,26,7,46,64,27,53,38,15,43,22,66,10,21,7,9,46,0,62,44,26,19,61,52,85,5,6,51,67,34,46,12,20,58,4,40,53,57,50,82,67,47,17,42,12,66,36,22,39,6,54,3,44,18,76,36,32,72,42,25,65,11,0,31,31,53,28,18,56,23,0,11,10,13,51,33,7,2,63,89,13,85,66,40,1,50,31,56,31,21,41,3,22,46,43,16,18,16,28,73,16,6,55,84,52,17,11,41,4,85,0,47,24,38,34,70,5,4,76,64,27,16,47,13,55,46,7,14,48,77,40,40,28,39,17,27,29,55,3,58,34,15,27,13,27,55,6,58,25,17,4,88,85,2,36,74,15,75,36,20,33,37,56,67,53,18,26,8,25,5,75,15,35,45,21,90,18,17,20,25,42,58,36,50,23,75,41,7,7,9,11,17,22,12,8,27,10,30,45,8,0,13,46,7,71,12,31,23,13,63,82,55,2,56,38,41,55,21,5,29,39,2,13,7,83,58,55,55,13,45,36,36,7,0,18,17,2,31,87,26,65,68,46,37,2,48,52,34,35,9,2,4,0,55,22,17,0,23,3,41,5,5,37,2,7,44,66,65,9,30,11,66,45,4,53,11,65,41,52,4,44,71,45,23,8,27,60,17,34,6,5,19,67,26,34,21,66,9,43,8,24,21,22,7,49,3,15,48,21,65,64,9,12,37,18,45,13,80,18,0,5,76,15,15,80,34,41,61,27,27,51,6,11,53,33,10,5,62,60,48,32,30,2,18,40,54,31,63,39,43,12,26,15,6,65,13,81,46,5,63,72,20,64,30,7,91,34,12,57,1,55,46,23,1,4,36,12,73,14,15,36,0,91,40,15,21,38,48,89,4,42,15,17,78,79,62,32,41,76,0,70,3,57,79,10,58,32,19,10,57,4,8,7,75,62,44,11,50,18,22,30,11,16,28,55,0,15,62,28,30,23,21,49,2,67,26,92,63,1,23,78,24,50,26,18,94,5,41,41,83,61,27,12,24,33,13,38,43,18,59,12,28,28,8,26,17,60,19,50,3,12,24,62,30,7,40,36,16,11,40,34,9,25,13,81,22,0,35,55,58,32,69,24,53,22,0,8,14,32,6,56,25,57,22,1,19,50,48,26,2,48,15,36,80,2,16,36,4,20,3,9,41,28,22,56,0,1,13,26,24,27,60,30,95,17,97,33,32,23,24,33,25,7,85,17,11,18,4,11,17,41,36,17,6,5,3,39,50,50,5,26,50,29,10,29,33,63,66,5,1,21,67,5,39,42,48,27,10,15,60,29,12,24,7,69,29,14,7,19,25,50,77,45,6,5,5,35,71,15,64,33,38,20,16,55,28,8,7,2,38,15,25,17,19,60,16,39,29,16,80,65,38,10,86,20,20,28}

{98,88,70,84,74,17,91,66,87,75,97,69,92,51,94,91,72,76,71,80,66,68,26,67,93,89,79,87,51,96,89,60,97,70,99,59,98,67,88,85,54,54,69,90,76,16,8,86,83,80,96,29,35,14,71,87,75,95,79,12,92,72,72,97,64,73,69,92,78,37,51,68,69,98,76,52,58,19,66,24,76,44,94,48,52,20,18,95,85,80,71,70,94,59,28,1,69,45,70,88,91,85,90,86,85,47,96,74,35,91,23,63,40,49,94,89,56,99,83,74,64,48,29,71,77,45,65,95,97,67,93,90,68,39,25,45,99,81,45,32,43,88,90,74,11,74,31,97,64,42,90,79,79,43,66,55,69,22,15,92,37,78,88,22,87,31,20,81,58,97,69,74,21,86,90,24,64,73,76,89,57,13,72,75,88,69,3,33,83,54,93,55,79,71,67,52,70,85,65,62,52,66,77,26,81,94,22,93,70,60,84,66,25,51,62,97,70,70,31,51,51,7,80,90,72,43,99,84,94,56,91,97,69,76,56,88,82,85,38,93,71,96,89,98,83,74,58,48,17,84,71,44,83,9,59,16,65,41,91,46,71,84,72,98,90,98,21,46,76,91,39,40,81,94,57,23,92,81,55,89,13,58,94,98,66,93,71,59,34,70,70,94,67,72,86,15,56,84,60,71,73,75,85,88,74,54,77,89,61,62,56,84,19,91,4,56,78,56,60,84,85,84,94,89,95,89,96,85,68,62,92,65,96,95,41,91,74,66,20,82,88,99,24,60,44,87,50,98,65,81,10,82,97,45,30,99,88,11,39,85,93,80,95,25,72,44,68,89,72,74,49,40,76,47,92,18,76,86,57,99,38,72,71,77,53,64,73,64,35,86,94,62,58,79,56,42,74,83,67,48,70,87,78,10,6,23,94,66,81,72,94,70,42,78,85,74,54,59,59,55,82,36,20,95,75,56,14,41,91,67,82,76,44,48,48,75,84,5,36,64,32,42,89,43,90,85,77,87,92,82,75,43,50,51,96,97,16,78,58,57,31,48,52,43,87,36,88,54,56,82,93,73,40,73,14,89,81,70,63,58,99,55,67,79,55,82,91,43,96,52,67,77,87,78,45,48,81,33,85,70,72,21,88,92,47,23,27,99,53,48,63,96,59,98,99,85,50,58,95,60,92,97,77,20,60,85,37,51,91,93,67,79,81,88,63,36,63,88,73,54,77,90,87,62,54,80,5,91,95,89,96,93,46,65,64,41,72,40,82,18,97,51,52,87,96,97,85,63,72,92,35,37,61,44,80,64,58,69,46,72,18,93,43,80,94,18,97,64,53,44,67,66,98,44,87,81,49,81,97,80,70,79,97,51,87,64,94,96,53,88,47,91,37,71,49,51,83,90,96,72,25,95,40,47,47,47,70,49,79,27,60,93,85,63,99,93,96,23,83,44,99,92,69,39,85,96,52,48,82,99,95,81,94,94,79,62,62,63,50,39,68,52,47,96,48,31,62,97,95,27,72,62,95,5,48,53,87,38,66,79,85,38,93,44,91,63,39,37,84,34,2,36,78,73,77,95,63,71,26,25,26,47,70,60,93,60,75,33,72,45,97,77,39,36,62,64,79,82,86,89,61,38,26,76,69,47,46,53,74,21,19,93,48,47,78,67,89,98,53,99,88,83,68,94,80,84,20,99,97,79,37,54,83,23,78,42,73,32,77,60,71,97,63,19,33,61,95,59,43,72,76,67,98,21,51,73,64,54,66,73,90,78,84,71,88,32,80,20,97,94,69,41,41,54,97,84,79,29,11,66,97,82,71,73,48,91,99,41,87,44,56,63,91,46,66,38,54,25,73,30,74,97,70,87,67,52,83,96,71,97,98}

Returns: {0, 1, 9, 100, 1, 20, 1, 20, 121, 1200, 1, 10, 3, 50, 3, 40, 11, 150, 3, 25, 223, 1500, 9, 50, 1, 15, 3, 20, 103, 400, 11, 75, 28, 125, 2, 15, 11, 50, 121, 600, 121, 600, 9, 50, 1, 5, 6, 25, 67, 200, 27, 100, 337, 1200, 363, 1120, 523, 2400, 169, 600, 449, 1500, 67, 200, 527, 1800, 1531, 4200, 1, 4, 3, 10, 7, 20, 203, 600, 281, 750, 2, 5, 29, 100, 9, 25, 33, 80, 43, 100, 61, 150, 691, 1800, 9, 20, 9, 20, 19, 40, 1829, 4800, 251, 560, 1, 2, 1117, 2100, 77, 160, 1, 2, 113, 200, 51, 100, 6683, 16800, 1, 2, 57, 100, 11, 20, 5171, 8400, 14, 25, 11, 20, 63, 100, 103, 200, 43, 80, 129, 200, 273, 400, 56, 75, 287, 400, 69, 100, 3, 5, 29, 40, 979, 1400, 13, 20, 7, 10, 277, 400, 33, 50, 12731, 16800, 7, 10, 151, 200, 3, 4, 6577, 8400, 41, 50, 4, 5, 31, 40, 161, 200, 91, 100, 177, 200, 2379, 2800, 13, 15, 14, 15, 17, 20, 9, 10, 509, 600, 9, 10, 14, 15, 19, 20, 1, 1 }
100

{6,4,29,1,83,19,57,44,0,10,26,71,0,34,43,35,48,63,13,2,13,47,15,61,12,33,56,2,46,15,17,0,69,67,34,75,13,18,15,14,5,10,10,0,12,39,20,0,28,26,71,16,22,19,51,70,73,22,21,66,28,21,16,32,47,38,41,29,6,20,46,31,59,46,27,18,12,36,55,19,5,21,28,6,29,4,1,46,46,42,46,75,46,30,3,19,84,41,40,33,70,55,22,38,47,28,12,43,1,41,66,27,54,30,81,12,0,0,34,72,43,28,0,33,0,11,64,21,5,7,15,0,63,57,64,22,52,39,68,63,9,42,18,69,11,66,78,13,7,24,7,8,46,11,20,26,28,34,5,46,21,7,21,26,45,19,23,17,2,5,13,9,79,5,62,24,4,33,11,67,29,24,47,57,36,2,17,37,61,25,13,23,71,89,37,33,0,32,79,12,90,36,56,68,28,17,4,42,24,0,46,29,31,4,5,29,20,49,6,25,25,43,2,18,25,32,20,6,76,16,21,62,37,28,37,36,62,41,18,12,30,29,0,69,7,10,62,16,23,6,2,38,1,40,17,39,24,6,73,5,10,3,11,14,18,2,35,20,44,2,3,16,3,42,50,34,1,51,30,3,84,3,30,42,11,82,59,9,96,18,38,66,27,3,75,21,0,10,36,23,70,0,12,50,0,18,21,7,27,6,21,19,0,48,48,18,41,17,34,57,29,9,46,0,11,11,44,78,17,87,41,35,30,16,19,54,32,47,20,33,50,14,3,2,23,18,11,88,45,18,14,32,25,1,37,27,59,11,20,39,59,71,94,17,66,64,11,8,40,16,82,88,0,14,27,66,49,57,41,37,7,12,51,80,31,2,53,9,16,16,1,6,1,26,13,41,14,67,14,35,6,2,55,15,5,3,10,48,28,35,24,10,68,15,68,6,46,65,22,77,81,79,13,5,22,34,53,22,67,28,20,17,42,68,29,13,35,6,39,10,55,79,24,38,31,17,91,4,30,22,70,53,57,3,1,23,20,39,28,73,66,29,16,38,1,63,15,26,11,30,65,3,16,7,24,9,27,26,23,0,30,47,22,24,7,23,62,25,98,30,51,18,64,4,24,24,15,15,46,12,12,18,82,16,10,34,75,33,63,79,42,10,34,64,33,21,29,0,9,45,29,52,1,23,93,53,4,67,41,42,36,34,15,63,16,38,0,14,36,18,57,24,33,27,60,10,74,5,10,23,44,64,69,10,28,30,15,38,61,3,6,46,78,22,1,48,59,22,51,33,42,73,0,42,33,24,81,27,97,27,51,69,22,45,37,13,20,30,77,5,27,40,63,57,0,51,86,61,58,24,39,65,46,30,32,7,7,38,52,16,95,14,3,63,50,8,23,15,20,30,28,35,4,42,65,29,19,26,29,19,92,16,45,3,11,17,5,42,18,53,40,37,34,46,62,1,5,5,5,17,15,56,70,42,2,31,21,40,8,92,1,85,64,22,28,24,55,56,17,37,7,37,54,11,30,73,28,19,28,94,11,17,9,5,60,88,14,71,10,5,9,32,13,4,62,14,64,59,2,1,1,6,38,53,2,92,40,33,0,5,42,23,28,6,1,42,13,44,62,28,7,11,3,19,21,62,7,62,36,35,15,15,80,41,6,20,37,10,34,17,57,44,35,17,33,74,0,75,66,41,46,41,51,31,54,33,29}

{60,37,63,33,88,45,87,94,2,87,84,87,99,61,88,42,93,94,65,13,91,87,22,95,82,38,82,66,97,38,91,40,85,69,39,87,67,73,71,49,89,73,70,8,72,48,69,75,83,64,81,46,24,76,69,95,74,37,91,74,39,37,17,81,88,58,95,33,10,88,61,96,73,77,64,97,84,66,78,63,56,31,62,75,91,25,75,56,49,46,55,86,63,92,25,86,94,92,71,70,75,80,98,61,62,41,82,52,50,52,94,31,98,73,97,42,33,3,39,99,63,62,19,60,79,45,73,53,44,15,79,98,90,71,85,87,59,41,76,95,28,54,89,80,65,94,95,34,68,51,39,64,84,44,94,62,83,62,49,87,92,74,59,39,53,71,30,42,41,46,24,41,95,48,80,46,43,51,76,96,76,60,69,94,76,46,91,82,63,79,76,85,92,93,39,85,48,89,85,75,99,99,94,70,57,97,90,78,57,7,81,84,61,87,24,33,69,86,29,99,64,63,56,61,58,61,42,88,94,85,30,71,70,79,57,65,77,83,38,41,74,57,4,80,96,95,74,90,54,9,47,60,77,92,85,84,67,48,98,29,37,12,96,87,62,33,61,76,62,46,23,31,90,52,99,97,41,67,96,80,93,17,84,79,44,91,73,56,99,99,62,96,94,88,87,76,1,44,79,46,76,5,48,67,12,63,75,36,74,90,49,56,25,89,54,68,90,83,59,74,31,32,60,11,21,39,74,83,99,99,49,40,46,27,69,76,52,87,39,87,70,27,40,59,98,95,92,91,67,99,22,81,51,66,78,53,88,24,41,61,80,91,95,42,91,94,67,22,96,21,86,98,14,61,83,87,97,84,80,64,54,94,83,97,99,72,94,69,51,80,21,53,63,72,26,73,99,82,65,70,41,29,60,53,46,18,21,91,99,48,67,75,86,43,73,86,86,93,28,97,99,86,68,43,29,94,93,91,91,79,31,76,69,98,80,16,91,96,98,96,80,89,96,70,96,46,99,25,72,74,85,87,90,69,21,87,72,83,72,82,78,96,38,98,35,76,38,40,47,86,77,15,24,31,52,82,98,81,50,6,35,96,79,66,43,91,74,86,99,54,95,50,73,31,84,95,21,86,63,38,46,57,93,81,59,81,91,81,78,94,86,54,38,79,50,57,31,17,54,90,37,72,10,46,95,87,85,97,46,46,47,97,24,65,57,45,19,88,72,59,63,34,74,76,76,11,83,86,17,24,86,85,71,96,57,86,50,64,94,88,71,99,94,28,28,98,62,65,98,37,73,96,88,91,81,48,91,58,99,74,81,99,90,55,73,44,72,49,91,95,31,97,69,82,97,72,93,77,68,28,59,91,79,96,91,89,52,60,61,20,98,94,25,65,60,34,24,81,75,86,79,48,72,93,94,77,71,68,32,86,95,75,55,63,34,66,53,81,38,87,60,94,51,73,96,27,81,40,35,90,48,75,81,55,66,54,63,73,83,99,40,87,73,91,71,83,98,97,63,40,68,80,84,36,63,94,78,48,94,96,42,69,66,86,78,90,56,93,21,73,43,36,70,40,98,56,66,65,56,62,79,60,50,92,31,93,49,35,9,92,79,93,74,87,97,66,30,90,96,62,28,75,86,82,86,85,55,70,40,84,18,51,99,82,31,84,73,79,47,64,94,62,38,86,64,88,60,98,84,97,91,95,89,39,98,36,89}

Returns: {0, 1, 1, 16, 1, 16, 1, 18, 37, 243, 1, 9, 1, 16, 1, 18, 1, 12, 55, 288, 1, 8, 3, 16, 71, 288, 1, 8, 1, 12, 1, 9, 3, 16, 5, 16, 239, 864, 31061, 124416, 55, 216, 1, 4, 1, 6, 67, 432, 55, 216, 74, 243, 37, 144, 55, 216, 139, 432, 2, 9, 5, 16, 139, 432, 23, 72, 5, 18, 139, 432, 3, 8, 5, 12, 1, 3, 191, 432, 7, 18, 229, 432, 4, 9, 7, 16, 199, 576, 115, 288, 1769, 3456, 1, 2, 37, 72, 31061, 62208, 565, 864, 335, 648, 37, 81, 1, 2, 4457, 6912, 18965, 31104, 335, 576, 523, 864, 17, 36, 55, 108, 5, 9, 2251, 3456, 5, 9, 11, 18, 11, 18, 11069, 20736, 115, 162, 6485, 10368, 767, 1296, 83, 144, 2, 3, 2, 3, 13, 18, 3, 4, 139, 216, 4957, 6912, 13, 18, 20, 27, 131, 162, 623, 864, 19709, 31104, 85, 108, 22, 27, 307, 432, 911, 1152, 14933, 20736, 7, 9, 7, 9, 8, 9, 1487, 1728, 45629, 62208, 3215, 3456, 3215, 3456, 7, 9, 5, 6, 22, 27, 8, 9, 49, 54, 49, 54, 17, 18, 1, 1 }
100

{61,2,18,10,31,61,0,8,24,67,2,17,0,10,31,46,7,22,53,0,4,66,15,38,9,78,6,0,36,70,44,78,19,77,56,3,8,12,17,53,42,57,19,87,41,3,7,18,43,73,24,66,29,14,34,8,5,45,3,39,17,20,55,55,36,8,40,88,4,31,16,4,75,20,33,32,38,25,53,55,63,14,53,3,80,4,3,12,25,23,51,1,34,35,4,55,20,1,98,3,45,2,64,1,24,66,0,38,38,36,1,55,18,12,14,1,28,1,46,9,37,39,70,46,2,4,31,23,41,41,45,27,6,21,6,1,38,33,9,14,9,15,25,0,70,20,8,7,64,12,1,18,37,55,49,53,17,16,13,73,24,64,84,21,47,7,14,26,20,42,20,60,19,89,18,28,2,50,80,11,37,45,32,35,43,25,31,94,2,2,1,42,46,7,10,14,39,18,38,21,22,37,48,0,24,51,77,24,46,26,11,48,45,31,74,1,19,7,49,14,27,5,15,28,27,81,34,37,63,42,18,4,1,40,1,53,36,3,60,45,23,47,13,44,44,9,44,0,9,8,11,75,6,55,35,15,56,43,75,31,11,68,18,64,30,48,35,61,68,3,42,49,29,0,16,35,9,39,52,69,6,73,29,84,65,21,6,25,19,14,90,18,33,6,32,27,69,15,54,44,24,1,15,40,12,21,79,43,3,0,59,13,20,95,90,20,7,22,53,5,31,7,44,15,28,15,11,17,7,22,12,16,43,0,68,46,69,56,22,56,26,10,13,36,3,43,84,14,55,84,55,14,62,67,20,39,46,39,30,50,28,11,38,4,91,33,37,20,68,3,79,7,85,59,28,54,17,8,83,3,44,20,45,7,32,50,6,9,49,0,63,26,13,24,52,46,55,29,81,42,24,20,27,48,74,77,0,39,15,1,0,29,10,6,55,97,34,9,19,61,16,45,25,0,24,33,47,52,1,6,72,11,12,30,20,43,9,10,93,1,51,2,7,11,80,23,45,63,1,12,27,56,22,23,39,64,18,54,55,67,35,37,21,55,61,43,12,48,16,20,15,6,0,53,8,15,24,40,70,20,29,1,26,73,46,57,36,1,17,69,39,23,7,14,3,51,15,11,35,8,58,61,43,57,24,24,15,45,30,51,50,62,2,19,96,10,0,20,8,49,14,15,23,19,75,67,3,19,24,54,0,24,10,43,15,42,61,4,6,57,42,20,79,14,63,11,18,5,8,45,10,36,36,30,23,3,2,38,18,0,53,65,17,19,2,5,5,30,6,15,43,1,6,30,2,36,36,7,34,62,37,40,45,8,66,91,28,13,82,42,16,90,68,0,37,14,92,16,6,63,7,88,51,23,49,62,43,36,22,73,3,41,50,74,52,10,57,59,21,19,14,43,24,61,8,17,6,0,8,55,9,39,9,82,70,67,35,43,43,82,79,62,2,66,37,8,55,13,26,15,71,53,2,16,67,31,6,45,34,30,4,47,76,69,33,10,30,25,41,21,42,54,1,86,63,38,12,8,16,9,24,91,3,4,17,16,2,33,42,20,26,62,28,78,32,32,13,54,40,31,25,49,9,24,13,81}

{89,17,46,24,79,63,37,64,82,99,90,68,77,79,54,54,99,43,93,4,29,86,88,57,35,94,10,93,38,85,55,90,72,89,64,32,17,77,91,79,77,96,25,95,52,39,8,33,44,76,78,91,56,99,98,95,42,46,46,47,33,40,89,99,96,46,43,95,91,79,24,40,97,94,73,79,55,91,87,85,80,65,73,18,87,12,78,54,61,87,60,42,81,81,71,84,83,45,99,31,79,82,75,93,48,93,35,50,45,58,45,90,99,63,63,50,32,83,86,82,59,79,98,96,75,24,83,63,47,66,86,36,29,28,50,2,55,53,17,99,66,72,40,13,79,67,34,82,85,27,31,46,79,78,71,79,61,75,56,99,29,82,97,94,65,22,54,96,78,77,76,93,44,99,98,88,97,94,88,93,59,46,87,67,82,69,74,96,53,77,20,77,53,15,84,41,52,36,48,30,89,44,55,74,27,85,81,74,92,56,30,79,79,54,89,3,90,77,51,39,74,98,92,76,42,82,79,65,82,61,68,10,25,64,85,66,64,66,65,65,92,88,81,62,86,40,96,77,65,97,29,81,49,65,66,84,58,80,92,80,60,84,81,95,39,67,71,66,85,77,55,70,61,42,29,83,17,99,89,87,53,82,47,97,69,92,88,46,36,89,98,29,97,85,86,56,70,71,69,67,56,20,23,88,74,63,97,78,76,7,73,21,97,99,97,93,78,57,76,50,39,24,56,44,34,93,45,28,93,58,65,84,94,2,88,50,85,97,62,69,55,51,21,72,22,46,86,48,59,86,76,80,86,72,56,88,90,67,47,57,47,18,96,34,95,54,39,73,74,23,81,10,91,78,83,66,65,21,99,8,66,47,57,10,86,85,41,52,96,68,94,65,46,34,92,70,77,41,88,53,63,92,36,53,97,92,48,68,69,94,76,66,22,30,94,99,64,16,70,84,85,72,79,14,32,71,97,67,82,87,97,60,21,67,68,50,63,22,99,63,84,69,11,48,82,32,74,94,2,66,68,65,64,32,47,98,20,86,78,95,41,40,33,92,95,70,97,54,41,42,26,96,19,87,66,24,27,58,86,29,85,83,73,85,87,85,77,45,66,75,90,73,96,22,43,73,41,85,94,70,73,73,76,89,55,36,85,83,69,54,87,63,8,56,99,77,6,63,88,86,32,40,29,87,88,89,42,38,48,83,16,42,20,50,19,96,87,94,66,98,82,66,87,70,90,47,38,91,91,77,53,78,54,91,99,66,70,40,38,5,90,85,91,38,8,20,85,52,44,93,54,95,54,96,85,86,63,9,94,76,78,74,69,71,75,97,39,50,95,63,93,95,77,1,87,26,99,57,11,70,96,92,77,66,76,68,88,53,30,77,78,42,54,86,72,76,95,66,81,85,77,98,86,71,87,47,55,64,57,75,29,58,99,90,87,88,90,99,57,87,96,98,32,93,93,86,57,20,55,46,98,82,96,50,96,74,87,68,92,72,57,86,90,95,48,79,56,92,92,95,90,59,97,99,65,70,34,35,24,85,91,96,36,97,53,41,36,38,66,87,56,64,29,87,83,94,21,84,54,67,28,89,84,72,15,94}

Returns: {0, 1, 1, 18, 1, 9, 1, 9, 4, 63, 43, 315, 4, 63, 1, 21, 1, 6, 2, 21, 8, 63, 2, 15, 1, 7, 2, 35, 71, 630, 4, 35, 1, 7, 2, 9, 64, 315, 6, 35, 86, 315, 2, 9, 71, 315, 8, 35, 4, 21, 8, 35, 139, 420, 5, 21, 2, 7, 12, 35, 34, 105, 4, 15, 11, 21, 5, 18, 551, 1176, 17, 60, 2, 7, 4, 21, 1, 3, 19, 45, 8, 21, 2, 5, 16, 35, 3, 7, 10, 21, 20, 49, 71, 147, 164, 315, 37, 84, 17, 84, 79, 147, 43, 126, 233, 420, 29, 49, 29, 49, 23, 42, 23, 42, 505, 756, 367, 588, 95, 147, 121, 252, 18, 35, 11, 21, 4, 7, 383, 588, 13, 21, 103, 147, 433, 630, 94, 147, 2, 3, 5, 7, 11, 15, 1033, 1260, 103, 147, 335, 441, 37, 49, 118, 147, 37, 49, 335, 441, 16, 21, 5, 7, 17, 21, 6, 7, 39, 49, 335, 441, 149, 189, 388, 441, 19, 21, 55, 63, 388, 441, 19, 21, 163, 189, 59, 63, 125, 147, 55, 63, 20, 21, 59, 63, 20, 21, 20, 21, 1, 1 }
100

{67,83,55,8,32,60,75,55,27,3,20,20,29,20,29,77,29,51,37,2,1,74,0,73,10,71,42,9,15,12,2,23,1,11,30,63,32,3,0,48,0,45,56,11,35,11,29,15,67,30,25,26,9,61,28,23,24,48,13,34,3,9,1,47,26,72,56,11,2,59,19,1,43,34,30,10,49,33,11,44,2,58,5,68,2,43,15,50,22,7,65,26,0,64,15,18,53,67,67,1,27,35,13,50,55,35,61,35,74,10,41,32,52,35,50,18,43,5,16,17,86,3,86,46,28,7,64,25,10,32,6,4,35,17,47,40,39,34,42,33,15,7,8,36,77,31,73,5,15,61,41,1,87,47,2,26,34,95,90,2,20,89,21,17,47,21,16,15,7,6,9,14,20,94,66,45,23,0,0,30,63,5,8,11,23,66,25,57,38,23,87,20,33,14,37,1,27,15,3,10,70,60,55,8,16,44,1,44,6,28,71,14,38,48,39,37,30,29,0,21,93,21,33,41,29,4,7,62,37,13,2,9,1,0,62,1,45,29,58,53,19,75,56,49,97,15,12,19,12,74,47,18,42,9,42,13,5,33,53,56,44,14,49,12,2,29,36,9,19,21,32,73,19,24,66,15,47,14,58,7,45,61,51,55,15,31,66,36,55,10,30,74,21,70,18,67,5,7,54,92,58,12,31,13,63,39,1,27,3,71,84,96,38,32,59,0,0,82,73,49,5,54,13,73,80,13,65,35,43,1,25,47,57,15,19,61,29,37,27,21,55,52,25,13,15,78,21,21,61,61,56,37,17,78,36,1,75,28,3,22,76,36,23,25,84,34,12,36,25,14,71,4,81,2,75,7,32,16,44,59,24,80,45,15,63,66,45,77,24,27,10,42,21,50,69,17,39,6,17,29,1,31,16,7,33,88,0,0,34,24,27,19,29,33,35,30,62,18,6,51,33,38,12,56,36,10,37,37,0,2,79,64,16,7,3,29,33,11,44,10,16,40,48,44,27,60,1,42,80,38,65,9,56,13,8,25,0,20,82,56,80,15,41,13,63,59,17,41,10,0,21,55,23,47,60,37,49,13,5,37,87,43,14,0,0,73,44,22,38,2,20,18,7,10,44,6,7,9,40,0,78,4,2,31,91,19,98,17,1,0,22,31,2,75,27,54,3,49,30,25,34,34,14,1,14,42,19,53,21,50,39,1,19,10,0,57,15,85,6,29,4,3,12,49,9,4,21,14,25,63,9,14,33,17,2,48,7,0,45,52,37,45,38,64,55,50,1,42,72,42,17,6,45,57,34,12,19,25,17,40,64,92,0,5,57,6,50,24,36,10,78,17,34,18,11,27,11,10,9,4,15,7}

{85,99,99,73,53,75,78,67,78,25,47,78,56,79,47,91,56,97,85,62,43,91,5,76,65,74,77,25,54,88,22,56,94,48,31,74,50,23,6,55,7,84,71,40,77,38,55,59,78,77,44,35,67,98,45,54,88,90,79,74,45,76,84,94,81,95,70,64,96,95,58,87,73,38,37,17,71,37,45,89,49,70,76,99,19,65,27,94,88,82,88,77,96,96,64,88,89,85,78,81,97,57,79,75,64,78,77,80,84,67,95,86,87,38,92,80,68,71,63,85,96,59,89,98,59,85,79,82,56,85,23,87,47,55,57,72,83,36,75,39,72,18,42,72,85,60,82,81,28,70,84,9,93,58,42,30,92,99,99,16,30,99,84,34,54,45,67,53,76,79,31,34,63,96,69,93,74,24,87,78,71,68,77,40,96,89,83,90,73,73,98,89,83,60,93,19,78,26,34,56,75,76,67,67,72,67,44,62,72,92,95,37,70,85,51,75,56,91,85,32,96,55,91,86,45,69,64,65,86,80,67,63,93,78,84,51,87,76,66,65,58,88,81,89,98,67,58,72,27,89,85,86,49,53,81,28,56,71,91,98,77,87,83,59,42,99,97,85,28,88,51,86,57,98,95,20,82,98,71,28,71,63,77,90,50,86,94,65,69,22,35,81,49,78,27,71,52,78,97,97,65,45,69,80,93,68,10,86,95,92,96,99,77,72,84,72,3,83,79,57,64,98,29,78,87,29,99,72,79,65,36,57,94,21,28,62,78,82,36,48,62,71,79,56,97,83,85,54,78,73,82,53,51,82,65,35,92,80,81,23,92,39,53,61,89,52,20,60,80,78,90,53,84,91,79,92,50,58,47,83,84,86,87,40,64,99,51,88,63,50,49,86,97,57,96,48,93,76,28,70,59,37,92,68,35,99,14,22,45,30,45,25,63,44,85,44,91,51,72,94,85,51,25,94,76,56,83,80,41,96,99,85,61,15,60,57,88,94,52,29,53,47,51,85,58,65,30,64,96,58,89,49,81,39,21,73,11,91,99,87,83,45,75,62,90,68,59,52,33,1,74,92,26,57,66,91,75,89,43,60,93,78,77,61,55,91,70,75,88,65,66,46,81,80,66,74,50,88,62,2,97,31,61,99,94,95,99,71,66,89,92,78,20,91,73,94,4,84,48,87,95,89,43,13,69,76,45,84,43,81,96,75,34,30,74,78,59,96,91,49,97,26,33,67,69,93,89,59,87,82,75,86,46,88,93,75,64,8,60,96,97,88,97,95,87,68,26,49,98,77,67,82,55,98,77,27,74,40,86,44,81,94,12,30,63,13,66,87,59,90,86,51,80,79,39,74,94,55,30,46,22,20}

Returns: {0, 1, 1, 16, 7, 80, 1, 8, 373, 1280, 3, 16, 3, 28, 1, 16, 15, 128, 13, 80, 1, 8, 7, 40, 1, 8, 3, 14, 9, 56, 1, 8, 1337, 5120, 25, 112, 61, 336, 7, 40, 1, 4, 15, 64, 3, 16, 1, 4, 3, 16, 21, 80, 5, 16, 101, 336, 73, 224, 9, 28, 3, 8, 293, 640, 11, 32, 9, 32, 9, 28, 7, 16, 47, 112, 173, 320, 65, 128, 29, 56, 7, 20, 9, 32, 501, 1792, 1077, 2560, 7, 16, 3, 7, 1563, 2560, 1, 2, 29, 64, 99, 224, 29, 64, 69, 112, 9, 16, 839, 1280, 87, 128, 17, 32, 131, 256, 9, 16, 37, 64, 103, 168, 399, 640, 1113, 2560, 833, 1280, 5, 8, 23, 32, 493, 640, 233, 320, 39, 64, 271, 336, 533, 640, 83, 128, 11, 16, 833, 1280, 777, 1280, 3, 4, 23, 32, 113, 160, 5, 7, 101, 128, 55, 64, 819, 1280, 13, 16, 55, 64, 119, 128, 7, 8, 53, 64, 221, 256, 473, 640, 1133, 1280, 15, 16, 27, 32, 13, 16, 101, 128, 1073, 1280, 7, 8, 553, 640, 15, 16, 55, 64, 119, 128, 1, 1 }

Statistics

Problem Statement for "FillInTheDAG"

Problem Statement

Definition

Constraints

Examples