TopCoder Statistics - Problem Statement

Problem Statement

Elly has a graph with N+1 vertices, conveniently numbered from 0 to N. The graph is actually a rooted tree, with the root being the vertex with number zero.

Elly can move between the vertices of her tree by jumping from one vertex to another. Not all jumps are allowed. Elly may jump from vertex A to vertex B if and only if one of A and B is a (direct or indirect) descendant of the other.

Elly is currently standing in the root of the tree: vertex 0. She would like to make a sequence of N jumps that visits each of the other N vertices exactly once. Note that Elly is allowed to jump over previously visited vertices. For example, if A is an ancestor of B and B is an ancestor of C, Elly can jump from A to C or from C to A even if B has been already visited.

You are given the description of the tree: a int[] parent with N elements. For each i between 0 and N-1, inclusive, the vertex parent[i] is the parent of the vertex (i+1). If it is possible for Elly to visit each of the vertices 1 through N exactly once, return a int[] with N elements: the numbers of the vertices in the order in which she should visit them. If there is more than one possible answer, return the lexicographically smallest one. If there is no way to achieve her goal, return an empty int[] instead.

Definition

Class:: EllysTree
Method:: getMoves
Parameters:: int[]
Returns:: int[]
Method signature:: int[] getMoves(int[] parent)
(be sure your method is public)

Notes

A tree is a connected graph with N+1 vertices and N edges. A rooted tree is a tree in which one vertex is labeled as the root.
In a rooted tree, the parent of vertex X is the first vertex on the path from X to the root. The root has no parent.
In a rooted tree, vertex X is a descendant of vertex Y if Y lies on the path from X to the root.
Given two equally long but different sequences of integers A and B, A is said to be lexicographically smaller than B if A contains a smaller number on the first position where they differ.

Constraints

parent will contain between 1 and 100 elements, inclusive.
Each element of parent will be between 0 and |parent|, inclusive, where "|parent|" denotes the number of elements in parent (i.e. N).
It is guaranteed, that the given graph will be a valid rooted tree.

Examples

{9, 13, 7, 9, 8, 14, 14, 0, 6, 9, 2, 2, 5, 5, 7}

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

The nodes Elly can jump to from node 6 are: {0, 8, 5, 14, 9, 10, 1, 4}.
{3, 4, 5, 0, 2}

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

There are no branches in this tree, thus Elly can traverse it in any order.
{0, 0}

Returns: { }

The root has two children. No matter which of them Elly chooses first, she will not be able to get to the other, since the girl has to go back to the root, which is already visited.
{0, 6, 6, 2, 6, 1, 3, 5}

Returns: {2, 4, 1, 3, 7, 6, 5, 8 }
{0, 1, 1, 1}

Returns: { }

Here, Elly cannot visit all vertices. Regardless of how she jumps, she will be able to visit at most two of the three leaves.
{0}

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

Returns: { }
{0, 1, 11, 10, 3, 4, 5, 6, 2, 9, 9}

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

Returns: {1, 2, 4, 3, 6, 7, 5, 8, 10, 9, 12, 13, 11, 14, 16, 15, 18, 19, 17, 20, 22, 21, 24, 25, 23, 26, 28, 27, 30, 31, 29, 32, 34, 33, 36, 37, 35, 38, 40, 39, 42, 43, 41, 44, 46, 45, 48, 49, 47, 50, 52, 51, 54, 55, 53, 56, 58, 57, 60, 61, 59, 62, 64, 63, 66, 67, 65, 68, 70, 69, 72, 73, 71, 74, 76, 75, 78, 79, 77, 80, 82, 81, 84, 85, 83, 86, 88, 87, 90, 91, 89, 92, 94, 93, 96, 99, 97, 95, 98 }
{68, 1, 44, 12, 42, 94, 43, 53, 29, 58, 18, 51, 48, 76, 79, 54, 36, 45, 25, 89, 31, 50, 62, 41, 52, 87, 33, 93, 49, 13, 71, 8, 34, 3, 60, 74, 65, 86, 91, 39, 0, 7, 64, 11, 57, 99, 10, 63, 17, 92, 81, 16, 26, 82, 69, 40, 97, 73, 79, 72, 84, 21, 78, 70, 59, 90, 88, 22, 23, 9, 96, 46, 66, 20, 14, 38, 61, 77, 30, 32, 80, 47, 35, 55, 28, 98, 56, 27, 15, 5, 75, 19, 4, 67, 37, 6, 24, 83, 95}

Returns: {1, 2, 3, 4, 6, 5, 7, 9, 10, 11, 8, 12, 13, 14, 18, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 26, 28, 30, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 36, 42, 43, 44, 45, 46, 48, 47, 49, 50, 52, 54, 55, 51, 53, 56, 57, 58, 61, 59, 60, 62, 63, 64, 66, 67, 65, 69, 68, 70, 71, 72, 75, 76, 77, 73, 74, 78, 79, 80, 81, 83, 84, 82, 88, 85, 86, 87, 91, 93, 94, 89, 90, 92, 96, 95, 97, 98, 99 }
{21, 93, 71, 41, 94, 87, 98, 52, 35, 26, 12, 62, 49, 92, 3, 38, 75, 56, 40, 30, 77, 61, 68, 95, 23, 15, 34, 85, 43, 4, 50, 7, 36, 60, 42, 29, 13, 39, 32, 55, 66, 90, 6, 22, 78, 17, 83, 9, 47, 96, 86, 16, 48, 19, 45, 37, 82, 91, 28, 25, 73, 33, 69, 100, 58, 24, 46, 80, 65, 64, 63, 99, 70, 1, 59, 0, 20, 44, 89, 11, 8, 18, 27, 31, 5, 76, 84, 2, 67, 57, 81, 51, 72, 14, 97, 74, 54, 88, 53, 79}

Returns: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100 }
{0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49}

Returns: { }
{0, 1, 2, 3, 2, 5, 4, 7, 4, 9, 6, 11, 6, 13, 8, 15, 8, 17, 10, 19, 10, 21, 12, 23, 12, 25, 14, 27, 14, 29, 16, 31, 16, 33, 18, 35, 18, 37, 20, 39, 20, 41, 22, 43, 22, 45, 24, 47, 24, 49, 26, 51, 26, 53, 28, 55, 28, 57, 30, 59, 30, 61, 32, 63, 32, 65, 34, 67, 34, 69, 36, 71, 36, 73, 38, 75, 38, 77, 40, 79, 40, 81, 42, 83, 42, 85, 44, 87, 44, 89, 46, 91, 46, 93, 48, 95, 48, 97, 50, 99}

Returns: {1, 3, 7, 15, 31, 63, 64, 32, 65, 66, 16, 33, 67, 68, 34, 69, 70, 8, 17, 35, 71, 72, 36, 73, 74, 18, 37, 75, 76, 38, 77, 78, 4, 9, 19, 39, 79, 80, 40, 81, 82, 20, 41, 83, 84, 42, 85, 86, 10, 21, 43, 87, 88, 44, 89, 90, 22, 45, 91, 92, 46, 93, 94, 2, 5, 11, 23, 47, 95, 96, 48, 97, 98, 24, 49, 50, 99, 100, 12, 25, 51, 52, 26, 53, 54, 6, 13, 27, 55, 56, 28, 57, 58, 14, 29, 59, 60, 30, 61, 62 }
{13, 8, 43, 88, 9, 92, 10, 86, 16, 63, 57, 16, 39, 65, 70, 75, 48, 60, 36, 15, 13, 37, 88, 72, 40, 30, 31, 42, 62, 67, 24, 14, 2, 84, 1, 25, 20, 91, 20, 51, 93, 70, 72, 27, 73, 12, 22, 80, 68, 11, 23, 87, 21, 92, 90, 7, 34, 60, 79, 85, 74, 25, 3, 93, 51, 38, 28, 31, 94, 71, 11, 81, 30, 38, 3, 47, 78, 4, 14, 58, 98, 54, 32, 0, 98, 78, 80, 50, 26, 22, 28, 18, 77, 8, 41, 64, 6, 99, 34, 66}

Returns: {1, 11, 2, 4, 8, 33, 34, 3, 5, 9, 16, 12, 43, 7, 10, 56, 63, 72, 24, 27, 31, 44, 81, 46, 75, 98, 6, 18, 54, 60, 17, 48, 58, 52, 80, 87, 85, 82, 92, 97, 99, 49, 68, 84, 13, 15, 20, 21, 53, 39, 35, 70, 22, 47, 76, 37, 55, 90, 71, 26, 28, 30, 45, 73, 67, 89, 42, 38, 61, 74, 91, 66, 100, 57, 14, 23, 19, 25, 29, 40, 36, 50, 32, 83, 65, 59, 79, 51, 62, 88, 41, 77, 64, 96, 93, 95, 78, 69, 86, 94 }
{73, 41, 0, 49, 0, 49, 59, 53, 78, 86, 0, 10, 81, 55, 64, 58, 33, 53, 70, 58, 16, 86, 86, 48, 21, 68, 42, 55, 53, 18, 26, 73, 20, 77, 16, 69, 56, 7, 58, 52, 11, 7, 49, 43, 56, 7, 58, 0, 0, 53, 39, 78, 0, 10, 7, 53, 63, 53, 0, 29, 85, 76, 7, 44, 10, 27, 42, 7, 29, 73, 25, 11, 27, 31, 21, 68, 48, 56, 0, 77, 39, 9, 71, 18, 35, 11}

Returns: { }
{20, 5, 42, 14, 0, 37, 30, 28, 10, 20, 12, 0, 34, 23, 28, 40, 5, 40, 0, 0, 24, 39, 12, 12, 40, 7, 36, 0, 40, 23, 7, 18, 28, 24, 3, 1, 21, 25, 8, 21, 33, 14}

Returns: { }
{19, 20, 0, 20, 19, 11, 19, 5, 3, 0, 0, 3, 5, 3, 20, 0, 4, 14, 14, 10}

Returns: { }
{3, 16, 33, 3, 28, 33, 25, 31, 24, 31, 2, 7, 25, 2, 25, 25, 23, 39, 0, 35, 37, 12, 28, 0, 0, 24, 12, 7, 28, 7, 15, 34, 29, 30, 33, 15, 41, 33, 12, 29, 29}

Returns: { }
{17, 22, 0, 17, 20, 7, 0, 17, 2, 22, 13, 4, 7, 13, 7, 4, 3, 2, 0, 6, 20, 0, 4, 16}

Returns: { }
{48, 73, 13, 22, 6, 38, 0, 13, 75, 52, 72, 45, 41, 48, 7, 45, 66, 45, 37, 68, 41, 73, 49, 7, 67, 41, 19, 11, 23, 6, 23, 34, 11, 67, 38, 45, 7, 0, 53, 54, 68, 31, 50, 13, 11, 42, 63, 24, 7, 59, 38, 49, 64, 73, 52, 73, 34, 64, 67, 15, 52, 49, 0, 70, 63, 67, 0, 71, 2, 62, 72, 75, 13, 56, 15}

Returns: { }
{2, 7, 2, 2, 0, 4, 0, 0, 0, 5, 3}

Returns: { }
{10, 30, 19, 30, 7, 45, 8, 1, 44, 0, 44, 10, 23, 38, 21, 42, 32, 14, 10, 4, 0, 39, 8, 10, 19, 38, 17, 13, 41, 34, 2, 3, 8, 0, 42, 7, 3, 21, 21, 34, 40, 44, 17, 10, 19, 10, 21}

Returns: { }
{5, 5, 4, 1, 0}

Returns: {1, 3, 4, 5, 2 }
{42, 9, 44, 9, 36, 32, 27, 29, 36, 27, 27, 21, 9, 38, 0, 44, 36, 41, 37, 9, 27, 8, 41, 14, 32, 8, 17, 7, 25, 0, 27, 27, 42, 32, 48, 0, 10, 17, 9, 28, 6, 38, 11, 15, 43, 17, 34, 15}

Returns: { }
{0, 1, 14, 46, 31, 0, 0, 64, 43, 9, 10, 23, 54, 43, 24, 24, 30, 40, 43, 29, 16, 67, 21, 65, 57, 61, 39, 1, 64, 32, 67, 49, 4, 7, 5, 28, 18, 9, 18, 3, 3, 24, 67, 42, 34, 59, 9, 56, 31, 56, 43, 15, 11, 34, 42, 14, 43, 6, 14, 28, 21, 14, 40, 7, 49, 67, 0, 10}

Returns: { }
{8, 12, 15, 5, 7, 12, 0, 0, 0, 8, 17, 0, 4, 25, 8, 25, 24, 21, 1, 0, 9, 8, 7, 7, 22, 7, 17, 12}

Returns: { }
{12, 25, 21, 0, 15, 12, 4, 16, 20, 30, 8, 30, 6, 6, 27, 0, 8, 9, 30, 8, 30, 1, 26, 4, 28, 12, 20, 4, 15, 16, 28}

Returns: { }
{70, 53, 54, 21, 82, 65, 44, 16, 46, 67, 10, 82, 89, 68, 40, 54, 27, 53, 16, 78, 24, 14, 18, 54, 92, 5, 28, 53, 68, 6, 2, 53, 52, 63, 1, 6, 81, 55, 65, 65, 94, 80, 0, 18, 76, 49, 76, 87, 67, 30, 32, 79, 0, 28, 53, 32, 47, 0, 82, 14, 15, 63, 26, 11, 0, 62, 53, 54, 15, 94, 67, 70, 70, 89, 39, 65, 70, 38, 94, 9, 10, 67, 19, 14, 1, 67, 10, 0, 25, 0, 92, 68, 76, 11}

Returns: { }
{10, 9, 24, 11, 2, 9, 14, 0, 22, 16, 26, 2, 1, 25, 14, 12, 15, 12, 16, 17, 2, 0, 9, 12, 22, 1, 16}

Returns: { }
{62, 13, 66, 5, 40, 12, 50, 59, 54, 53, 60, 63, 22, 49, 46, 50, 76, 73, 3, 73, 25, 29, 70, 62, 0, 57, 20, 64, 8, 5, 12, 83, 3, 13, 59, 37, 50, 81, 63, 8, 43, 70, 49, 67, 0, 44, 0, 60, 25, 23, 50, 76, 61, 82, 50, 53, 0, 63, 0, 0, 14, 3, 40, 69, 68, 25, 8, 82, 21, 25, 72, 40, 0, 33, 27, 45, 8, 36, 42, 60, 73, 17, 76, 79}

Returns: { }
{38, 33, 10, 0, 36, 11, 28, 14, 11, 33, 20, 21, 9, 5, 20, 0, 51, 38, 23, 0, 20, 38, 21, 18, 48, 38, 16, 53, 38, 0, 18, 36, 20, 11, 16, 4, 15, 12, 21, 10, 3, 18, 27, 38, 20, 33, 37, 16, 35, 21, 28, 53, 14, 35, 36, 16, 30, 0, 0}

Returns: { }
{64, 67, 29, 45, 68, 52, 30, 45, 66, 30, 24, 64, 17, 60, 8, 47, 48, 57, 38, 28, 53, 26, 69, 28, 68, 20, 42, 0, 40, 25, 29, 52, 63, 25, 20, 37, 28, 27, 27, 0, 49, 53, 53, 56, 27, 68, 52, 53, 50, 26, 42, 28, 28, 37, 59, 0, 28, 3, 18, 32, 47, 47, 54, 5, 10, 63, 70, 28, 3, 25, 5}

Returns: { }
{23, 24, 42, 39, 14, 19, 1, 16, 27, 0, 41, 0, 10, 24, 19, 19, 43, 16, 0, 0, 24, 7, 19, 4, 10, 19, 10, 15, 16, 19, 25, 15, 27, 0, 10, 27, 36, 4, 0, 33, 20, 43, 19}

Returns: { }
{20, 0, 23, 35, 3, 0, 38, 25, 2, 4, 10, 5, 37, 25, 17, 34, 25, 37, 2, 25, 20, 7, 2, 38, 0, 15, 14, 30, 27, 10, 4, 3, 15, 15, 25, 24, 20, 27, 3}

Returns: { }
{72, 50, 55, 41, 22, 58, 14, 5, 56, 68, 36, 91, 87, 11, 7, 82, 20, 89, 56, 85, 87, 16, 15, 79, 88, 56, 55, 84, 7, 16, 13, 86, 66, 38, 52, 53, 12, 88, 60, 80, 8, 22, 1, 72, 15, 51, 13, 43, 23, 83, 90, 0, 77, 15, 38, 73, 70, 33, 85, 89, 71, 7, 66, 47, 73, 62, 69, 77, 73, 40, 35, 61, 48, 3, 19, 50, 27, 84, 25, 74, 32, 23, 73, 88, 11, 91, 78, 19, 42, 30, 29}

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

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

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

Returns: { }
{47, 3, 23, 24, 57, 1, 49, 35, 27, 51, 7, 25, 36, 34, 2, 20, 41, 4, 0, 19, 13, 32, 28, 50, 16, 52, 50, 32, 45, 4, 28, 56, 28, 23, 17, 53, 10, 32, 24, 3, 12, 2, 17, 56, 51, 13, 14, 45, 9, 53, 5, 51, 58, 19, 24, 0, 27, 14, 53}

Returns: { }
{75, 71, 58, 40, 46, 14, 18, 0, 41, 81, 61, 35, 74, 53, 80, 44, 81, 54, 61, 3, 27, 6, 5, 50, 28, 42, 50, 42, 82, 4, 63, 23, 86, 46, 20, 58, 25, 25, 16, 27, 23, 60, 23, 38, 85, 70, 8, 57, 63, 81, 15, 17, 29, 82, 53, 26, 88, 56, 9, 73, 43, 11, 68, 11, 46, 32, 15, 76, 56, 14, 9, 47, 72, 45, 5, 84, 54, 85, 36, 7, 35, 24, 12, 58, 25, 51, 18, 9, 50, 60}

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

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

Returns: { }
{40, 0, 20, 45, 50, 14, 39, 11, 37, 13, 44, 46, 42, 51, 44, 42, 34, 8, 32, 35, 16, 14, 49, 9, 46, 1, 12, 0, 10, 53, 20, 26, 7, 27, 52, 6, 29, 49, 8, 7, 36, 38, 16, 6, 9, 48, 3, 4, 5, 51, 2, 48, 25}

Returns: { }
{15, 56, 52, 56, 22, 35, 16, 27, 52, 27, 22, 36, 60, 66, 3, 65, 45, 43, 49, 55, 22, 13, 64, 18, 67, 65, 11, 64, 0, 68, 47, 45, 29, 26, 29, 34, 4, 58, 3, 53, 9, 7, 14, 67, 33, 19, 42, 60, 51, 51, 18, 46, 48, 16, 32, 68, 1, 30, 5, 43, 15, 68, 65, 17, 64, 20, 54, 8}

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

Returns: { }
{53, 44, 47, 43, 44, 34, 53, 2, 26, 20, 37, 48, 55, 26, 58, 0, 58, 29, 18, 5, 40, 38, 56, 23, 35, 16, 15, 36, 34, 36, 38, 46, 54, 14, 48, 9, 17, 4, 36, 24, 42, 27, 15, 48, 35, 51, 19, 54, 58, 57, 27, 10, 8, 13, 26, 8, 35, 53, 12}

Returns: { }
{10, 25, 9, 20, 17, 0, 16, 4, 6, 26, 31, 10, 17, 1, 37, 2, 11, 16, 36, 6, 18, 35, 29, 9, 4, 18, 5, 36, 0, 10, 32, 24, 21, 3, 34, 31, 8}

Returns: { }
{19, 65, 71, 54, 54, 77, 52, 73, 14, 23, 59, 23, 62, 82, 51, 25, 20, 34, 87, 4, 53, 66, 21, 44, 76, 41, 7, 3, 7, 73, 27, 63, 21, 7, 7, 52, 21, 81, 20, 32, 18, 27, 50, 85, 29, 68, 62, 79, 3, 44, 75, 19, 48, 25, 40, 62, 79, 1, 48, 16, 57, 69, 15, 38, 32, 41, 0, 77, 58, 52, 54, 22, 10, 14, 56, 64, 30, 50, 55, 45, 37, 38, 81, 79, 61, 60, 67}

Returns: { }
{19, 11, 16, 12, 10, 17, 26, 21, 8, 21, 20, 18, 15, 7, 29, 29, 10, 9, 14, 5, 0, 16, 4, 11, 22, 18, 6, 21, 14}

Returns: { }
{43, 40, 73, 65, 36, 59, 60, 13, 7, 44, 62, 25, 52, 11, 45, 17, 26, 35, 32, 69, 20, 59, 48, 42, 70, 10, 38, 58, 39, 75, 20, 46, 56, 0, 70, 44, 29, 23, 16, 34, 18, 41, 30, 31, 40, 6, 74, 9, 23, 13, 36, 16, 32, 56, 51, 66, 15, 61, 33, 15, 75, 16, 59, 1, 76, 2, 50, 58, 42, 7, 31, 21, 27, 42, 71, 56}

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

Returns: { }
{25, 88, 79, 89, 38, 71, 71, 31, 16, 8, 68, 72, 69, 28, 19, 3, 52, 78, 85, 73, 54, 13, 56, 45, 63, 36, 21, 66, 60, 53, 59, 16, 35, 63, 13, 0, 78, 15, 1, 86, 80, 68, 26, 72, 58, 87, 8, 81, 82, 77, 48, 27, 58, 62, 24, 40, 20, 57, 69, 22, 56, 37, 19, 11, 2, 82, 77, 12, 18, 41, 86, 77, 70, 66, 72, 43, 61, 30, 30, 46, 76, 41, 51, 8, 82, 81, 6, 44, 35, 11}

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

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

Returns: {1, 19, 21, 7, 9, 15, 16, 20, 22, 40, 28, 48, 30, 4, 33, 32, 44, 41, 37, 42, 50, 5, 6, 10, 18, 12, 36, 43, 46, 39, 13, 38, 47, 31, 35, 2, 3, 17, 24, 27, 8, 29, 25, 34, 11, 14, 45, 49, 26, 23 }
{12, 7, 46, 46, 4, 36, 24, 15, 35, 15, 40, 43, 39, 22, 35, 11, 16, 24, 11, 35, 35, 8, 49, 8, 44, 50, 2, 36, 3, 27, 9, 10, 44, 45, 0, 46, 49, 21, 48, 30, 29, 49, 6, 8, 29, 33, 28, 53, 8, 39, 32, 15, 3}

Returns: { }
{34, 45, 31, 44, 17, 5, 27, 4, 35, 18, 31, 22, 32, 24, 4, 20, 9, 42, 32, 31, 24, 0, 34, 2, 40, 32, 26, 5, 22, 6, 9, 20, 4, 22, 22, 34, 34, 18, 42, 29, 18, 32, 7, 45, 26}

Returns: { }
{23, 20, 21, 30, 9, 30, 15, 10, 6, 30, 12, 17, 29, 11, 6, 18, 15, 15, 3, 18, 6, 25, 14, 5, 10, 2, 3, 29, 12, 0, 24, 22}

Returns: { }
{80, 88, 70, 1, 97, 85, 92, 44, 24, 71, 89, 93, 76, 83, 88, 62, 9, 45, 96, 56, 52, 48, 28, 28, 30, 66, 55, 61, 68, 16, 4, 70, 53, 58, 0, 66, 18, 40, 36, 47, 14, 8, 48, 50, 35, 35, 65, 32, 63, 47, 98, 18, 91, 33, 14, 88, 89, 52, 8, 67, 86, 67, 55, 88, 18, 45, 6, 27, 94, 62, 78, 32, 67, 72, 46, 50, 54, 1, 21, 92, 43, 38, 98, 18, 95, 11, 97, 46, 36, 22, 68, 24, 91, 62, 50, 86, 90, 19}

Returns: { }
{24, 46, 39, 0, 49, 19, 44, 25, 22, 47, 8, 1, 7, 24, 7, 13, 50, 48, 25, 36, 49, 4, 17, 29, 20, 17, 56, 50, 41, 43, 22, 35, 2, 7, 27, 13, 36, 15, 35, 41, 28, 10, 47, 4, 23, 26, 20, 21, 24, 7, 23, 4, 52, 14, 21, 12}

Returns: { }
{17, 42, 20, 2, 7, 8, 8, 0, 25, 29, 41, 44, 8, 31, 6, 27, 14, 6, 11, 14, 31, 45, 8, 18, 11, 9, 43, 6, 14, 4, 24, 13, 39, 2, 22, 25, 23, 12, 20, 5, 44, 11, 35, 8, 32, 34, 24}

Returns: { }
{35, 27, 21, 32, 35, 30, 41, 34, 12, 15, 14, 41, 14, 10, 37, 18, 36, 42, 4, 5, 24, 28, 25, 37, 18, 34, 5, 42, 2, 28, 10, 3, 21, 7, 17, 25, 18, 39, 22, 14, 18, 0}

Returns: { }
{52, 54, 5, 37, 1, 40, 18, 25, 37, 1, 38, 14, 18, 9, 45, 4, 16, 49, 53, 49, 53, 25, 44, 11, 37, 58, 10, 31, 50, 56, 35, 26, 4, 1, 27, 9, 0, 17, 57, 36, 26, 17, 13, 5, 59, 26, 16, 44, 42, 36, 7, 17, 34, 30, 49, 37, 40, 56, 29, 8}

Returns: { }
{40, 21, 24, 40, 12, 45, 44, 1, 5, 36, 44, 46, 26, 4, 42, 18, 24, 21, 35, 25, 0, 28, 5, 43, 44, 16, 47, 21, 6, 2, 21, 18, 35, 40, 32, 29, 27, 32, 6, 12, 25, 24, 32, 21, 20, 3, 17}

Returns: { }
{21, 52, 30, 27, 20, 22, 54, 58, 42, 21, 47, 19, 34, 49, 33, 11, 6, 59, 48, 44, 26, 65, 35, 57, 32, 4, 29, 22, 50, 37, 45, 44, 6, 44, 57, 23, 24, 7, 24, 48, 4, 12, 58, 0, 44, 19, 54, 25, 57, 32, 16, 21, 51, 42, 20, 2, 4, 10, 57, 28, 5, 17, 42, 46, 25}

Returns: { }
{30, 10, 13, 12, 16, 0, 6, 27, 21, 19, 29, 3, 29, 4, 28, 30, 21, 28, 12, 27, 6, 18, 17, 17, 18, 6, 3, 26, 17, 31, 6}

Returns: { }
{73, 11, 14, 17, 32, 25, 39, 60, 53, 7, 52, 2, 46, 36, 46, 29, 70, 70, 18, 5, 4, 77, 67, 1, 64, 72, 60, 70, 74, 4, 37, 38, 72, 23, 16, 0, 36, 70, 58, 12, 67, 51, 44, 57, 7, 53, 70, 22, 60, 41, 24, 18, 27, 37, 41, 52, 24, 21, 8, 65, 28, 36, 50, 37, 39, 16, 43, 9, 30, 54, 66, 10, 38, 58, 17, 20, 16, 23}

Returns: { }
{52, 15, 88, 40, 35, 2, 94, 34, 32, 54, 77, 87, 66, 33, 35, 6, 1, 73, 72, 57, 37, 72, 25, 13, 94, 58, 56, 15, 2, 23, 78, 8, 59, 58, 39, 68, 3, 29, 18, 91, 90, 64, 37, 23, 27, 43, 63, 74, 75, 88, 49, 71, 8, 76, 94, 48, 26, 59, 54, 54, 94, 69, 68, 86, 79, 92, 89, 5, 73, 89, 93, 61, 11, 11, 94, 0, 58, 62, 13, 18, 83, 69, 61, 78, 88, 26, 78, 84, 58, 9, 35, 42, 61, 76, 75}

Returns: { }
{39, 0, 25, 10, 10, 12, 2, 10, 18, 2, 25, 8, 2, 6, 20, 8, 20, 29, 16, 26, 38, 32, 26, 12, 27, 38, 8, 4, 6, 34, 36, 7, 12, 37, 19, 14, 32, 2, 19}

Returns: { }
{34, 77, 12, 86, 21, 48, 59, 68, 55, 50, 20, 16, 66, 82, 2, 68, 88, 63, 22, 85, 26, 62, 56, 82, 82, 74, 62, 73, 33, 10, 57, 87, 59, 49, 46, 60, 29, 68, 80, 64, 39, 44, 88, 19, 8, 69, 82, 10, 54, 21, 38, 25, 36, 59, 74, 3, 63, 5, 2, 43, 79, 88, 50, 48, 5, 60, 68, 36, 79, 58, 39, 36, 71, 45, 62, 26, 27, 87, 9, 85, 15, 4, 34, 13, 15, 1, 85, 0, 49}

Returns: { }
{3, 0, 18, 24, 17, 3, 11, 7, 39, 38, 35, 2, 2, 19, 42, 18, 36, 2, 31, 34, 1, 1, 2, 22, 39, 18, 21, 4, 34, 24, 23, 6, 30, 41, 25, 35, 7, 24, 3, 15, 13, 2, 33}

Returns: { }
{33, 26, 41, 42, 14, 39, 1, 27, 0, 29, 23, 16, 40, 45, 43, 44, 49, 21, 1, 38, 31, 3, 47, 18, 6, 38, 53, 8, 50, 50, 9, 47, 36, 10, 7, 12, 52, 9, 33, 20, 26, 27, 9, 31, 49, 42, 53, 22, 36, 21, 33, 38, 26}

Returns: { }
{14, 19, 15, 27, 6, 22, 14, 30, 8, 0, 16, 30, 20, 10, 30, 27, 1, 6, 7, 5, 5, 8, 12, 25, 27, 19, 33, 10, 21, 10, 5, 29, 8, 16}

Returns: { }
{51, 52, 17, 26, 19, 20, 18, 67, 38, 7, 1, 4, 9, 30, 42, 13, 33, 29, 57, 59, 11, 35, 75, 49, 12, 65, 14, 41, 50, 52, 23, 26, 25, 19, 3, 37, 16, 40, 56, 21, 71, 52, 23, 74, 63, 15, 69, 53, 10, 1, 68, 0, 18, 30, 37, 11, 15, 29, 34, 63, 31, 73, 52, 48, 68, 55, 49, 63, 29, 10, 7, 10, 52, 57, 11}

Returns: { }
{26, 30, 24, 9, 39, 0, 26, 3, 15, 32, 12, 32, 9, 20, 22, 1, 21, 23, 12, 26, 41, 18, 6, 5, 18, 23, 24, 35, 22, 19, 42, 7, 36, 6, 37, 13, 41, 22, 1, 32, 32, 34, 5}

Returns: { }
{31, 45, 4, 44, 17, 36, 41, 6, 36, 30, 28, 46, 23, 35, 40, 11, 24, 19, 0, 35, 16, 11, 15, 2, 37, 39, 14, 18, 19, 45, 23, 2, 46, 15, 28, 29, 40, 43, 30, 29, 25, 37, 44, 8, 18, 14}

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

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

Returns: {1, 5, 17, 2, 25, 7, 9, 31, 10, 6, 24, 27, 11, 22, 21, 29, 18, 8, 13, 20, 28, 35, 16, 23, 33, 14, 3, 15, 32, 34, 30, 19, 12, 4, 26 }
{30, 1, 30, 8, 25, 5, 22, 17, 22, 9, 4, 1, 25, 24, 9, 4, 23, 13, 18, 12, 24, 37, 0, 8, 34, 18, 13, 37, 20, 35, 28, 35, 32, 17, 34, 33, 23}

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

Returns: {1, 19, 24, 16, 17, 37, 28, 4, 9, 44, 23, 6, 21, 36, 10, 2, 31, 3, 33, 7, 25, 14, 27, 32, 8, 40, 29, 41, 38, 12, 20, 22, 11, 42, 18, 13, 5, 26, 34, 15, 35, 43, 39, 30 }
{26, 53, 5, 21, 32, 34, 41, 50, 10, 1, 39, 14, 16, 49, 38, 19, 40, 0, 33, 15, 19, 37, 38, 27, 17, 41, 39, 51, 26, 18, 5, 37, 18, 27, 28, 3, 40, 30, 16, 33, 13, 15, 24, 47, 30, 23, 13, 22, 24, 51, 21, 3, 11, 23}

Returns: {1, 9, 10, 26, 29, 41, 7, 13, 44, 47, 16, 2, 11, 53, 39, 6, 34, 27, 12, 14, 49, 24, 43, 19, 4, 21, 8, 50, 51, 28, 35, 33, 3, 36, 5, 31, 32, 52, 37, 22, 48, 40, 17, 25, 18, 20, 15, 42, 38, 46, 23, 54, 30, 45 }
{36, 8, 40, 37, 41, 49, 14, 16, 38, 39, 48, 19, 46, 22, 16, 36, 24, 13, 42, 46, 6, 38, 42, 27, 29, 28, 4, 49, 3, 13, 44, 25, 25, 29, 27, 44, 9, 40, 37, 0, 39, 41, 19, 22, 17, 14, 15, 3, 9, 28}

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

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

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

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

Returns: {2, 10, 3, 6, 11, 1, 7, 4, 8, 5, 9 }
{2, 0, 16, 5, 1, 13, 16, 13, 8, 23, 19, 4, 11, 2, 5, 19, 7, 7, 14, 15, 6, 28, 1, 11, 17, 14, 15, 18, 23}

Returns: {3, 16, 17, 25, 7, 18, 22, 28, 19, 6, 21, 13, 8, 9, 11, 24, 14, 26, 2, 4, 12, 5, 20, 15, 27, 1, 10, 23, 29 }
{8, 64, 56, 28, 20, 77, 77, 70, 35, 78, 38, 67, 38, 32, 71, 46, 36, 9, 47, 47, 2, 10, 7, 78, 22, 51, 71, 9, 25, 25, 2, 6, 19, 18, 21, 6, 51, 34, 28, 14, 26, 31, 46, 66, 35, 36, 64, 14, 55, 37, 75, 65, 58, 21, 52, 31, 66, 34, 45, 43, 19, 30, 8, 65, 26, 24, 50, 60, 44, 56, 32, 50, 45, 54, 0, 43, 75, 20, 37, 22}

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

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

Returns: {1, 11, 14, 16, 4, 7, 19, 20, 10, 3, 5, 17, 6, 9, 2, 12, 13, 8, 15, 18 }
{9, 33, 48, 9, 39, 23, 16, 32, 15, 6, 14, 18, 49, 15, 25, 52, 24, 30, 1, 30, 53, 51, 27, 4, 34, 14, 34, 3, 45, 13, 0, 4, 11, 31, 37, 13, 39, 1, 50, 22, 22, 8, 51, 50, 31, 42, 53, 40, 25, 45, 27, 43, 49, 43}

Returns: {2, 11, 33, 14, 26, 15, 8, 32, 42, 46, 4, 17, 24, 9, 19, 1, 38, 25, 12, 18, 30, 20, 13, 36, 49, 21, 53, 47, 34, 3, 28, 40, 48, 22, 41, 51, 7, 16, 52, 43, 54, 27, 6, 10, 23, 31, 5, 39, 35, 37, 50, 44, 45, 29 }
{14, 11, 1, 26, 34, 0, 13, 18, 33, 14, 13, 15, 6, 6, 39, 33, 7, 32, 1, 25, 11, 32, 19, 9, 21, 9, 37, 38, 37, 34, 26, 3, 7, 21, 10, 35, 3, 25, 10, 2}

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

Returns: {3, 2, 7, 5, 8, 10, 9, 1, 4, 6 }
{56, 49, 13, 78, 40, 84, 85, 45, 72, 89, 36, 48, 55, 25, 38, 81, 83, 57, 4, 86, 66, 57, 14, 23, 1, 39, 17, 67, 47, 79, 38, 41, 61, 67, 74, 31, 1, 37, 78, 53, 10, 89, 21, 60, 37, 17, 21, 70, 30, 10, 31, 59, 80, 88, 83, 80, 90, 34, 49, 82, 42, 66, 54, 84, 75, 45, 90, 62, 28, 56, 46, 79, 55, 6, 72, 73, 35, 30, 48, 0, 3, 25, 53, 85, 40, 34, 39, 62, 82, 70}

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

Returns: {1, 10, 18, 16, 9, 24, 11, 32, 3, 6, 12, 30, 14, 28, 35, 19, 31, 22, 20, 21, 27, 17, 2, 33, 5, 7, 23, 26, 38, 4, 13, 25, 15, 34, 29, 36, 8, 37 }
{2, 0, 1, 10, 2, 8, 6, 1, 3, 9, 5}

Returns: {3, 4, 9, 10, 1, 6, 7, 8, 2, 5, 11 }
{14, 7, 13, 6, 2, 5, 0, 12, 12, 5, 13, 7, 14, 9}

Returns: {1, 9, 3, 13, 11, 14, 12, 8, 7, 2, 4, 6, 5, 10 }
{4, 12, 2, 7, 1, 10, 12, 19, 7, 9, 3, 0, 10, 21, 24, 4, 11, 13, 16, 9, 16, 21, 19, 2}

Returns: {1, 5, 4, 8, 19, 23, 16, 14, 21, 22, 7, 6, 10, 13, 18, 9, 20, 12, 3, 11, 17, 2, 15, 24 }
{18, 14, 0, 19, 14, 8, 19, 12, 13, 6, 18, 3, 6, 8, 3, 12, 16, 15, 1, 16, 5, 9, 1}

Returns: {1, 4, 19, 7, 15, 11, 18, 23, 3, 2, 14, 5, 21, 8, 9, 13, 22, 6, 10, 12, 17, 16, 20 }
{13, 8, 6, 9, 9, 4, 4, 13, 10, 0, 15, 5, 15, 6, 10}

Returns: {1, 13, 2, 8, 15, 11, 10, 3, 6, 14, 4, 7, 9, 5, 12 }
{10, 19, 8, 11, 3, 2, 17, 19, 20, 8, 6, 4, 18, 3, 5, 20, 23, 10, 0, 26, 1, 6, 26, 11, 18, 2}

Returns: {1, 21, 10, 13, 18, 25, 8, 5, 15, 3, 14, 19, 4, 12, 11, 24, 6, 22, 2, 7, 17, 23, 26, 9, 20, 16 }
{47, 62, 73, 28, 2, 36, 34, 82, 57, 80, 15, 81, 1, 52, 61, 45, 83, 76, 68, 40, 49, 79, 87, 1, 61, 45, 25, 6, 26, 85, 79, 63, 47, 44, 81, 44, 17, 48, 15, 76, 16, 0, 39, 51, 51, 33, 82, 73, 66, 6, 42, 16, 8, 4, 58, 78, 36, 40, 64, 74, 69, 80, 27, 22, 62, 34, 4, 41, 83, 57, 65, 71, 19, 26, 70, 85, 72, 19, 68, 42, 28, 66, 74, 30, 41, 48, 10}

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

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

Returns: {1, 14, 15, 23, 3, 4, 25, 22, 9, 10, 19, 6, 17, 16, 20, 24, 8, 11, 18, 2, 5, 21, 12, 7, 13 }
{19, 36, 38, 16, 40, 44, 31, 42, 5, 5, 10, 3, 46, 44, 29, 7, 41, 34, 22, 7, 11, 0, 35, 1, 23, 12, 51, 16, 40, 20, 12, 52, 8, 39, 47, 24, 29, 22, 42, 34, 51, 19, 18, 1, 18, 28, 31, 23, 46, 26, 8, 39, 33, 49, 38}

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

Returns: {1, 8, 18, 32, 34, 39, 60, 38, 66, 31, 15, 50, 26, 21, 46, 30, 49, 51, 58, 64, 11, 3, 54, 48, 2, 9, 25, 42, 20, 12, 14, 17, 65, 13, 44, 41, 57, 10, 67, 69, 19, 27, 33, 53, 56, 4, 63, 47, 35, 36, 55, 5, 7, 6, 59, 62, 22, 37, 24, 40, 68, 70, 16, 52, 43, 23, 28, 29, 45, 61 }
{3, 61, 52, 97, 47, 73, 4, 72, 44, 40, 41, 36, 89, 74, 58, 61, 26, 28, 45, 16, 10, 97, 37, 14, 72, 98, 91, 15, 76, 70, 89, 13, 94, 31, 87, 22, 92, 69, 23, 19, 23, 83, 71, 53, 0, 55, 65, 51, 79, 68, 77, 43, 45, 71, 2, 41, 99, 19, 86, 98, 9, 8, 49, 73, 54, 24, 38, 78, 22, 74, 53, 43, 77, 2, 70, 21, 92, 12, 10, 39, 54, 9, 57, 14, 38, 57, 65, 21, 44, 88, 69, 40, 29, 37, 78, 1, 58, 52, 26}

Returns: {1, 3, 96, 52, 17, 26, 42, 57, 59, 86, 99, 83, 98, 60, 43, 8, 62, 72, 25, 71, 5, 47, 65, 35, 87, 54, 81, 53, 13, 32, 89, 31, 34, 44, 16, 20, 61, 24, 66, 14, 84, 74, 30, 70, 75, 2, 46, 55, 9, 82, 45, 4, 7, 97, 12, 36, 50, 68, 78, 95, 22, 27, 91, 69, 67, 38, 85, 58, 15, 18, 28, 19, 6, 73, 64, 77, 48, 51, 92, 11, 41, 56, 23, 39, 80, 37, 33, 94, 40, 29, 76, 93, 21, 88, 90, 10, 49, 63, 79 }
{36, 1, 34, 26, 27, 7, 5, 40, 31, 19, 14, 2, 18, 24, 17, 39, 22, 30, 1, 9, 12, 19, 4, 40, 2, 34, 0, 25, 26, 7, 13, 6, 23, 5, 31, 27, 12, 24, 14, 36}

Returns: {3, 34, 4, 23, 33, 26, 29, 5, 6, 32, 7, 9, 13, 18, 20, 30, 31, 35, 27, 8, 40, 11, 14, 16, 39, 24, 38, 36, 10, 19, 15, 17, 22, 1, 21, 12, 37, 2, 25, 28 }
{49, 31, 1, 31, 15, 45, 45, 22, 41, 7, 3, 23, 23, 7, 6, 11, 57, 12, 41, 30, 22, 50, 52, 57, 48, 5, 42, 17, 28, 6, 15, 2, 55, 39, 42, 4, 50, 25, 48, 14, 32, 52, 5, 30, 0, 39, 17, 20, 26, 43, 43, 26, 14, 36, 2, 20, 4, 11}

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

Returns: {2, 9, 4, 48, 35, 3, 12, 17, 19, 40, 7, 39, 15, 34, 31, 6, 8, 42, 16, 32, 26, 37, 28, 46, 1, 5, 11, 36, 23, 29, 47, 45, 41, 14, 22, 27, 30, 18, 38, 13, 20, 43, 33, 10, 25, 21, 44, 24 }
{74, 78, 21, 74, 58, 91, 43, 82, 17, 95, 7, 71, 72, 46, 84, 55, 52, 73, 56, 75, 57, 32, 85, 31, 52, 2, 43, 33, 45, 28, 63, 39, 94, 85, 67, 33, 47, 50, 57, 37, 46, 22, 68, 3, 36, 63, 27, 83, 10, 68, 14, 75, 45, 9, 58, 41, 0, 11, 2, 36, 72, 94, 18, 28, 61, 34, 47, 21, 42, 78, 62, 10, 32, 3, 22, 56, 44, 17, 23, 54, 8, 50, 44, 27, 42, 61, 84, 11, 95, 54, 73, 9, 40, 39, 18}

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

Returns: {1, 20, 19, 23, 14, 17, 11, 5, 18, 3, 16, 8, 10, 13, 4, 7, 2, 15, 9, 21, 22, 6, 12 }
{70, 24, 19, 35, 69, 13, 5, 48, 12, 55, 66, 43, 69, 35, 52, 81, 27, 27, 42, 26, 53, 60, 2, 0, 40, 81, 65, 23, 21, 75, 6, 34, 76, 30, 63, 46, 72, 59, 28, 10, 4, 15, 80, 51, 83, 11, 12, 78, 40, 76, 33, 75, 63, 18, 8, 42, 64, 5, 57, 50, 80, 1, 50, 30, 13, 23, 8, 55, 48, 60, 61, 26, 28, 72, 24, 52, 53, 2, 70, 78, 34, 21, 33, 46, 47}

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

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

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

Returns: {1, 3, 5, 13, 11, 8, 4, 6, 7, 10, 15, 12, 14, 2, 9 }
{17, 17, 12, 6, 0, 2, 28, 22, 4, 1, 5, 19, 5, 28, 7, 20, 13, 25, 18, 3, 32, 1, 32, 11, 10, 10, 2, 13, 8, 22, 25, 26, 11}

Returns: {3, 12, 16, 18, 19, 20, 25, 31, 10, 21, 26, 23, 32, 1, 8, 29, 22, 30, 17, 4, 6, 9, 2, 27, 13, 7, 15, 28, 14, 5, 24, 11, 33 }
{8, 18, 15, 1, 15, 10, 5, 0, 10, 21, 2, 11, 20, 18, 8, 3, 14, 3, 21, 2, 1}

Returns: {4, 1, 6, 10, 9, 21, 19, 8, 5, 7, 15, 11, 12, 2, 13, 20, 18, 14, 17, 3, 16 }
{28, 62, 13, 40, 63, 52, 20, 61, 11, 42, 32, 41, 59, 13, 32, 46, 40, 31, 7, 45, 6, 70, 33, 53, 17, 56, 58, 23, 27, 50, 38, 42, 68, 58, 44, 3, 39, 57, 57, 10, 23, 0, 7, 68, 15, 47, 34, 1, 62, 39, 64, 9, 43, 28, 61, 38, 63, 15, 31, 10, 6, 52, 11, 9, 21, 5, 22, 70, 22, 45}

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

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

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

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

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

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

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

Returns: {1, 51, 2, 52, 3, 53, 4, 54, 5, 55, 6, 56, 7, 57, 8, 58, 9, 59, 10, 60, 11, 61, 12, 62, 13, 63, 14, 64, 15, 65, 16, 66, 17, 67, 18, 68, 19, 69, 20, 70, 21, 71, 22, 72, 23, 73, 24, 74, 25, 75, 26, 76, 27, 77, 28, 78, 29, 79, 30, 80, 31, 81, 32, 82, 33, 83, 34, 84, 35, 85, 36, 86, 37, 87, 38, 88, 39, 89, 40, 90, 41, 91, 42, 92, 43, 93, 44, 94, 45, 95, 46, 96, 47, 97, 48, 98, 49, 99, 50, 100 }
{9, 13, 7, 9, 8, 14, 14, 0, 6, 9, 2, 2, 5, 5, 7 }

Returns: {1, 5, 2, 11, 13, 12, 8, 3, 7, 15, 14, 4, 6, 9, 10 }
{56, 96, 95, 88, 13, 46, 95, 26, 93, 7, 66, 39, 53, 99, 36, 94, 78, 95, 66, 77, 88, 4, 20, 53, 55, 48, 12, 12, 59, 93, 77, 6, 10, 2, 47, 58, 56, 49, 85, 37, 99, 93, 82, 91, 62, 15, 32, 70, 100, 88, 30, 64, 44, 61, 17, 35, 69, 0, 78, 20, 57, 39, 83, 47, 23, 22, 23, 2, 13, 23, 46, 44, 9, 71, 27, 10, 57, 91, 35, 43, 98, 59, 1, 73, 11, 75, 37, 93, 17, 56, 74, 75, 61, 75, 11, 30, 83, 20, 61, 41 }

Returns: {1, 6, 40, 37, 87, 32, 52, 64, 47, 63, 83, 97, 56, 90, 35, 79, 15, 2, 34, 96, 68, 30, 51, 13, 3, 4, 7, 10, 33, 11, 12, 16, 94, 27, 86, 75, 92, 39, 28, 85, 45, 62, 22, 18, 95, 76, 66, 19, 36, 5, 44, 8, 26, 48, 70, 20, 60, 46, 9, 73, 84, 53, 14, 99, 38, 41, 49, 100, 57, 21, 88, 50, 93, 42, 61, 54, 58, 24, 71, 25, 55, 17, 89, 78, 29, 59, 43, 80, 82, 74, 31, 69, 65, 23, 67, 77, 81, 98, 91, 72 }
{0, 6, 6, 2, 6, 1, 3, 5 }

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

Returns: {50, 100, 25, 51, 12, 96, 48, 97, 24, 98, 49, 99, 6, 52, 26, 53, 13, 54, 27, 55, 3, 56, 28, 57, 14, 58, 29, 59, 7, 60, 30, 61, 15, 62, 31, 63, 1, 64, 32, 65, 16, 66, 33, 67, 8, 68, 34, 69, 17, 70, 35, 71, 4, 72, 36, 73, 18, 74, 37, 75, 9, 76, 38, 77, 19, 78, 39, 79, 2, 80, 40, 81, 20, 82, 41, 83, 10, 84, 42, 85, 21, 86, 43, 87, 5, 88, 44, 89, 22, 90, 45, 91, 11, 92, 46, 93, 23, 94, 47, 95 }
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 1 }

Returns: {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 20 }
{2, 5, 2, 3, 0, 3 }

Returns: {1, 2, 3, 4, 5, 6 }
{0, 1, 0, 1, 3, 0, 5, 3, 8, 9, 5, 8, 5, 7, 4, 11, 1, 2, 2, 10, 12, 17, 14, 21, 10, 18, 1, 16, 23, 8, 2, 3, 13, 12, 30, 12, 12, 37, 9, 12, 26, 35, 23, 7, 16, 0, 15, 2, 2, 49, 17, 28, 7, 46, 53, 28, 32, 44, 46, 22, 43, 49, 7, 13, 47, 47, 31, 10, 61, 24, 31, 61, 48, 4, 13, 60, 76, 4, 8 }

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

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

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

Statistics

Problem Statement for "EllysTree"

Problem Statement

Definition

Notes

Constraints

Examples