TopCoder Statistics - Problem Statement

Problem Statement

Cat Snuke has a tree with N nodes. The nodes are numbered 0 through N-1. You are given a int[] parent that represents the structure of the tree. The value parent[0] should be ignored. For each i > 0, there is an edge that connects the nodes i and parent[i].

Initially, Snuke placed a red token onto node 0, and black tokens onto some of the other nodes (possibly none or all of them). You are given this information as a int[] token with N elements. For each i, token[i] will be either 0 or 1. Here, 0 means that node i is empty, and 1 means that it contains a token. It is guaranteed that token[0]=1.

Snuke now plays a game with the tokens. Whenever there is a node with a token adjacent to an empty node, Snuke may slide the token along the edge from its current node to the adjacent empty one. The goal of the game is to move the red token into a specific node.

Return a int[] with N elements. For each i, element i of the return value should be 1 if it is possible to reach node i with the red token, and 0 otherwise.

Definition

Class:: TreePuzzle
Method:: reachable
Parameters:: int[], int[]
Returns:: int[]
Method signature:: int[] reachable(int[] parent, int[] token)
(be sure your method is public)

Constraints

N will be between 2 and 300, inclusive.
parent will contain exactly N elements.
parent[0] will be -1.
For each i > 0, parent[i] will be between 0 and i-1, inclusive.
token will contain exactly N elements.
token[0] will be 1.
For each i > 0, token[i] will be either 0 or 1.

Examples

{-1, 0, 0, 0, 1}

{1, 1, 0, 0, 1}

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

In the figure below, each row shows a sequence of moves that starts from the initial configuration and ends with the red token reaching one of the nodes 0, 1, 2, and 3. There is no valid sequence of moves such that the red token reaches the node 4.
{-1, 0, 1, 0, 3, 2, 5, 6, 7, 8}

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

Returns: {1, 1, 1, 0, 0, 1, 0, 0, 0, 0 }
{-1, 0, 0, 2, 1, 1, 5, 0, 0, 2}

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

Returns: {1, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 3, 4, 5, 0, 7, 6, 8, 9, 11, 0, 11, 2, 15, 13, 15, 10}

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

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

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 }
{-1, 0, 1, 2, 3, 4, 5, 6, 7, 0, 8, 10, 11, 12, 13, 14, 9, 15, 16, 17, 19, 18, 21, 22, 20, 24, 25, 23, 27, 26, 29, 28, 31, 32, 33, 30, 35, 34, 36, 37, 39, 38, 40, 42, 41, 43, 45, 46, 47, 48, 49, 44, 50, 52, 53, 51, 54, 55, 57, 58, 59, 56, 60, 62, 61, 64, 63, 65, 66, 68, 67, 69, 71, 72, 70, 74, 75, 73, 76, 78, 79, 77, 80, 82, 81, 83, 85, 86, 84, 87, 89, 90, 88, 92, 93, 94, 91, 96, 97, 95, 99, 100, 98, 102, 103, 104, 101, 106, 105, 107, 109, 108, 110, 112, 113, 25, 111, 115, 116, 117, 114, 119, 118, 121, 120, 124, 122, 126, 125, 127, 129, 123, 131, 132, 128, 134, 135, 133, 130, 137, 138, 136, 140, 142, 143, 141, 139, 146, 144, 148, 145, 150, 147, 151, 153, 154, 155, 152, 156, 157, 158, 159, 160, 162, 149, 164, 163, 161, 165, 166, 168, 169, 171, 172, 173, 170, 175, 176, 177, 167, 174, 179, 181, 178, 180, 182, 184, 186, 185, 183, 187, 189, 188, 191, 192, 190, 195, 196, 194, 197, 199, 193, 198, 200, 201, 203, 202, 206, 205, 204, 209, 210, 207, 211, 208, 214, 213, 216, 217, 215, 218, 212, 220, 219, 223, 222, 225, 224, 221, 226, 228, 227, 231, 230, 232, 229, 234, 236, 235, 237, 239, 233, 240, 238, 241, 243, 242, 246, 245, 133, 244, 249, 247, 250, 253, 251, 255, 256, 248, 254, 258, 260, 261, 262, 263, 259, 265, 266, 252, 264, 191, 270, 271, 267, 268, 269, 257, 275, 273, 272, 274, 277, 280, 281, 276, 284, 282, 285, 286, 283, 279, 278, 290, 287, 25, 294, 288, 296, 295, 292}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 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, 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 }
{-1, 0, 1, 2, 3, 4, 0, 6, 7, 8, 9, 5, 11, 7, 13, 8, 7, 15, 3, 12, 17, 18, 16, 22, 18, 20, 24, 19, 27, 28, 13, 25, 21, 9, 31, 29, 35, 36, 2, 26, 37, 38, 11, 35, 39, 40, 41}

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

Returns: {1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 3, 0, 4, 5, 6, 7, 9, 10, 11, 8, 13, 12, 15, 16, 17, 18, 19, 14, 21, 20, 23, 22, 25, 26, 27, 28, 24, 30, 29, 32, 31, 33, 35, 34, 37, 36, 38, 32, 39, 35, 12, 43, 45, 44, 40, 21, 47, 48, 42, 49, 52, 51, 55, 56, 53, 46, 57, 26, 60, 40, 54, 61, 65, 50, 59, 63, 69, 70, 58, 72, 41, 66, 73, 67, 71, 62, 75, 74, 77, 64, 79, 80, 68, 79, 84, 78, 88, 82, 91, 89, 92, 87, 83, 76, 85, 12, 97, 100, 98, 95, 101, 69, 97, 3, 92, 81, 106, 107, 105, 96, 102, 109, 114, 115, 104, 93, 86, 108, 120, 121, 122, 94, 111, 116, 118, 124, 99, 110, 107, 112, 117, 90, 125, 134, 133, 138, 103, 90, 139, 131, 123, 142, 127, 129, 147, 130, 113, 139, 148, 47, 128, 126, 153, 119, 149, 146, 141, 150, 160, 162, 152, 163, 158, 99, 164, 144, 156, 120, 136, 165, 154, 145, 169, 155, 157, 166, 170, 168, 178, 181, 171, 179, 161, 67, 159, 180, 143, 173, 191, 137, 176, 192, 187, 140, 185, 186, 198, 200, 177, 202, 203, 135, 189, 174, 196, 194, 204, 167, 188, 208, 197, 132, 184, 210, 216, 175, 209, 190, 201, 151, 217, 219, 193, 182, 218, 205, 225, 226, 195, 229, 1, 211, 11, 235, 231, 213, 207, 199, 233, 236, 214, 241, 172, 244, 238, 240, 230, 215, 242, 248, 243, 246, 183, 228, 206, 255, 133, 259, 261, 237, 224, 262, 258, 250, 256, 266, 254, 269, 212, 245, 221, 252, 232, 270, 275, 234, 239, 249, 276, 282, 260, 283, 267, 271, 281, 286}

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

Returns: {1, 1, 0, 0, 0, 1, 0, 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, 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, 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 }
{-1, 0, 0, 2, 3, 4, 1, 5, 6, 7, 8, 9, 10, 12, 11, 13, 14, 15, 17, 16, 18, 19, 20, 22, 21, 23, 24, 25, 26, 27, 29, 28, 31, 30, 33, 32, 34, 35, 36, 37, 39, 38, 41, 40, 42, 44, 43, 46, 47, 45, 48, 50, 49, 52, 53, 51, 55, 56, 54, 58, 57, 60, 61, 62, 59, 64, 63, 65, 66, 67, 69, 68, 71, 70, 72, 74, 73, 76, 77, 75, 79, 80, 81, 82, 78, 83, 85, 86, 84, 87, 89, 90, 88, 91, 93, 94, 92, 96, 95, 98, 97, 100, 99, 102, 103, 104, 105, 106, 107, 101, 109, 108, 111, 110, 112, 114, 113, 116, 115, 117, 119, 120, 121, 118, 34, 124, 123, 125, 126, 128, 127, 129, 131, 122, 130, 134, 135, 136, 137, 133, 139, 138, 141, 132, 143, 140, 142, 145, 146, 148, 144, 150, 147, 149, 151, 153, 154, 155, 156}

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

Returns: {1, 1, 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, 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 }
{-1, 0, 1, 0, 2, 3, 5, 6, 4, 8, 9, 10, 11, 7, 13, 14, 12, 16, 17, 12, 19, 15, 5, 22, 21, 23, 24, 20, 25, 26, 27, 18, 29, 32, 33, 34, 28, 35, 30, 36, 31, 37, 40, 38, 39, 44, 41, 42, 46, 47, 45, 49, 43, 52, 1, 51, 37, 56, 48, 53, 57, 50, 17, 54, 59, 62, 58, 65, 63, 67, 55, 64, 70, 69, 71, 74, 66, 60, 68, 77, 76, 73, 15, 79, 19, 72, 61, 82, 83, 86, 84, 88, 80, 87, 90, 27, 94, 78, 85, 75, 92, 99, 81, 97, 98, 93, 95, 106, 104, 39, 100, 105, 110, 96, 112, 102, 76, 48, 91, 117, 115, 101, 107, 121, 103, 122, 108, 126, 111, 120, 124, 109, 129, 132, 125, 127, 113, 128, 135, 119, 133, 140, 136, 14, 139, 141, 106, 118, 138, 142, 89, 130, 150, 134, 151, 149, 147, 123, 153, 139, 143, 145, 116, 41, 162, 75, 43, 114, 148, 163, 154, 168, 158, 144, 155, 161, 156, 146, 173, 159, 157, 166, 128, 124, 131, 165, 174, 164, 177, 186, 117, 183, 178, 192, 180, 179, 190, 169, 193, 195, 193, 185, 200, 107, 152, 176, 204, 189, 44, 206, 208, 160, 203, 212, 202, 182, 209, 210, 187, 194, 191, 175, 220, 170, 137, 213, 197, 196, 181, 24, 225, 184, 214, 226, 230, 222, 188, 223, 205, 224, 236, 216, 240, 228, 172, 241, 244}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1 }
{-1, 0, 1, 0, 3, 4, 2, 6, 5, 8, 7, 10, 11, 9, 13, 12, 15, 14, 16, 17, 18, 20, 19, 21, 23, 22, 24, 26, 27, 28, 25, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 31, 40, 42, 43, 41, 44, 46, 45, 47, 49, 50, 51, 52, 53, 48, 55, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 60, 66, 67, 69, 68, 70, 72, 73, 71, 75, 76, 74, 77, 78, 80, 79, 81, 82, 83, 85, 86, 84, 87, 88, 89, 90, 92, 93, 91, 94, 95, 97, 96, 99, 98, 101, 100, 102, 104, 103, 105, 106, 108, 109, 107, 111, 112, 110, 113, 115, 116, 114, 118, 117, 120, 121, 119, 123, 122, 125, 124, 126, 127, 128, 129, 131, 132, 130, 134, 133, 136, 135, 138, 137, 139, 140, 141, 142, 144, 143, 145, 146, 148, 149, 147, 150, 152, 151, 153, 154, 155, 157, 156, 159, 160, 161, 162, 163, 164, 158, 166, 167, 168, 169, 165, 171, 172, 170, 174, 173, 176, 177, 175, 179, 180, 181, 178, 182, 184, 185, 183, 186, 188, 187, 190, 191, 192, 189, 194, 193, 196, 195, 198, 197, 199, 200, 201, 203, 204, 202, 206, 207, 205, 208, 209, 211, 212, 213, 214, 215, 210, 217, 216, 218, 219, 221, 220, 222, 224, 223, 226, 225, 227, 228, 229, 230, 231, 233, 232, 235, 236, 234, 237, 239, 240, 241, 238, 243, 244, 242, 245, 247, 248, 249, 250, 246, 251, 253, 252, 255, 256, 257, 258, 254, 259, 260, 261, 263, 264, 265, 262, 266, 267, 268, 269, 270, 272, 271, 273, 275, 274, 277, 276, 278, 280, 279}

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

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

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

Returns: {1, 0, 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 }
{-1, 0, 1, 2, 3, 0, 4, 5, 7, 8, 6, 10, 11, 12, 13, 14, 15, 16, 17, 9, 19, 18, 21, 20, 22, 24, 25, 23, 27, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 33, 38, 40, 39, 41, 43, 44, 45, 42, 46, 48, 49, 47, 50, 52, 51, 53, 54, 55, 32, 58, 56, 60, 57, 62, 63, 59, 64, 65, 61, 66, 42, 70, 69, 67, 73, 74, 22, 68, 75, 72, 76, 79, 78, 81, 80, 71, 77, 83, 87, 86, 84, 88, 91, 90, 93, 55, 95, 89, 94, 85, 99, 96, 97, 100, 102, 104, 82, 106, 92, 103, 98, 105, 111, 108, 101, 107, 112, 110, 115, 116, 113, 117, 109, 121, 114, 120, 124, 40, 122, 128, 76, 127, 131, 126, 132, 129, 134, 130, 137, 133, 136, 123, 119, 139, 125, 142, 135, 138, 147, 140, 145, 150, 148, 151, 149, 118, 141, 144, 154, 157, 152, 146, 153, 161, 160, 159, 143, 166, 167, 155, 169, 170, 158, 156, 171, 164, 165, 163, 175, 168, 106, 177, 162, 180, 173, 178, 172, 176, 184, 181, 179, 186, 174, 185, 190, 183, 191, 193, 182, 187, 189, 197, 194, 201, 192, 203, 188, 204, 199, 207, 196, 210, 211, 202, 208, 195, 213, 214, 198, 215, 213, 200, 221, 217, 209, 222, 115, 206, 227, 220, 224, 228, 219, 218, 231, 233, 223, 232, 230, 205, 235, 225, 229, 237, 239, 242, 234, 245, 246, 236, 136, 226, 240, 216, 250, 247, 252, 248, 249, 257, 259, 243, 261, 238, 253, 254, 244, 255, 263, 268, 241, 256, 258, 260, 273, 251, 266, 272, 267, 272, 278, 279, 262, 276, 265, 270, 282, 280, 284, 286, 212, 281, 269, 274, 293, 287, 12, 283, 294, 290}

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Returns: {1, 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, 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, 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 }
{-1, 0, 0, 1, 1, 2, 4, 3, 4, 4, 5, 6, 0, 8, 7, 13, 15, 16, 14, 0, 11, 12, 19, 0, 18, 9, 17, 18, 24, 14, 10, 25, 0, 3, 3, 22, 26, 35, 32, 28, 34, 36, 40, 41, 29, 31, 43, 21, 23, 38, 30, 2, 27, 45, 35, 20, 48, 39, 45, 46, 56, 58, 25, 32, 55, 48, 22, 66, 67, 67, 5, 52, 61, 20, 42, 12, 60, 47, 64, 63, 43, 51, 4, 80, 81, 59, 34, 67, 61, 50, 9, 62, 87, 23, 69, 91, 93, 84, 22, 89, 99, 51, 57, 79, 54, 53, 100, 83, 101, 90, 98, 37, 108, 9, 113, 22, 40, 49, 0, 92, 99, 72, 109, 104, 111, 95, 40, 61, 54, 111, 126, 78, 16, 96, 98, 116, 85, 66, 106, 22, 73, 124, 104, 140, 65, 138, 22, 62, 112, 90, 33, 77, 145, 86, 127, 142, 105, 85, 44, 88, 107, 143, 70, 97, 114, 135, 129, 148, 57, 23, 76, 71, 68, 56, 172, 86, 117, 121, 76, 49, 141, 176, 46, 82, 161, 163, 151, 115, 122, 146, 178, 38, 191, 73, 174, 153, 74, 118, 177, 103, 60, 154, 181, 160, 108, 102, 180, 155, 156, 188, 94, 125, 195, 99, 54, 205, 132, 67, 134, 130, 189, 211, 208, 213, 198, 217, 164, 136, 98, 200, 183, 149, 6, 222, 170, 219, 233, 190, 232, 218, 214, 51, 43, 229, 231, 216, 123, 120, 210, 152, 169, 246, 137, 8, 75, 221, 119, 133}

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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
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Returns: {1, 1, 1, 1, 1, 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, 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, 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 }
{-1, 0, 0, 1, 3, 2, 4, 6, 5, 8, 9, 7, 10, 11, 13, 12, 15, 16, 14, 17, 18, 17, 21, 22, 23, 19, 22, 20, 25, 2, 27, 29, 28, 3, 24, 30, 31, 33, 26, 36, 38, 25, 36, 42, 41, 34, 44, 32, 45, 40, 35, 37, 49, 50, 36, 14, 10, 46, 47, 55, 48, 25, 52, 56, 62, 43, 65, 63, 58, 51, 69, 61, 34, 64, 5, 39, 70, 67, 75, 68, 45, 78, 77, 57, 59, 66, 79, 80, 54, 88, 82, 81, 90, 0, 60, 89, 91, 93, 96, 94, 86, 87, 97, 53, 76, 103, 74, 73, 104, 85, 107, 71, 52, 108, 113, 50, 115, 114, 111, 116, 109, 112, 72, 122, 100, 84, 117, 117, 92, 121, 0, 127, 18, 126, 83, 94, 134, 131, 124, 128, 123, 125, 98, 124, 133, 95, 145, 99, 146, 106, 105, 63, 120, 139, 147, 57, 152, 141, 41, 156, 136, 135, 148, 153, 138, 137, 132}

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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 0, 1, 2, 4, 5, 3, 7, 6, 9, 8, 11, 12, 13, 14, 10, 16, 15, 18, 19, 17, 20, 22, 21, 23, 25, 24, 27, 28, 26, 29, 30, 32, 31, 34, 35, 36, 33, 38, 37, 39, 41, 42, 43, 40, 45, 44, 47, 48, 49, 50, 51, 52, 46, 54, 53, 55, 56, 58, 57, 60, 61, 59, 62, 63, 65, 64, 67, 68, 69, 70, 71, 66, 73, 72, 75, 74, 76, 77, 79, 78, 80, 82, 81, 84, 85, 86, 87, 83, 88, 89, 91, 92, 93, 90, 94, 95, 96, 98, 99, 97, 101, 100, 103, 104, 102, 105, 106, 108, 107, 109, 110, 111, 112, 114, 115, 116, 113, 118, 119, 120, 121, 122, 117, 124, 123, 125, 127, 128, 129, 126, 131, 132, 130, 133, 134, 136, 137, 135, 138, 140, 139, 141, 143, 142, 144, 146, 147, 148, 145, 149, 150, 151, 152, 154, 155, 156, 153, 157, 158, 160, 161, 159, 163, 162, 165, 164, 167, 168, 169, 170, 166, 172, 173, 171, 175, 176, 174, 177, 179, 180, 178, 181, 183, 184, 182, 185, 186, 187, 188, 189, 191, 192, 193, 190, 195, 194, 197, 196, 199, 200, 198, 202, 201, 203, 205, 206, 207, 204, 208, 210, 209, 211, 213, 214, 212, 215, 217, 216, 219, 220, 221, 222, 218, 223, 225, 224, 227, 228, 226, 229, 230, 231, 233, 232, 234, 236, 235, 237, 239, 238, 241, 242, 243, 240, 244, 245, 246, 248, 247, 250, 249, 251, 252, 254, 253, 256, 257, 258, 259, 260, 261, 262, 263, 264, 255, 266, 265, 267, 269, 270, 271, 272, 273, 268, 274, 275, 276, 277, 278, 279, 280, 282, 281, 284, 285, 286, 283, 287, 288, 290, 289, 291, 292, 293, 295, 296, 294, 258}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 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, 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, 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 }
{-1, 0, 1, 0, 3, 4, 2, 0, 6, 5, 1, 5, 9, 12, 13, 11, 4, 16, 10, 2, 10, 19, 7, 15, 22, 23, 3, 6, 10, 12, 18, 25, 9, 30, 10, 16, 34, 17, 27, 30, 21, 16, 18, 41, 26, 37, 17, 32, 47, 46, 28, 19, 49, 46, 36, 47, 36}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0 }
{-1, 0, 1, 2, 0, 4, 5, 3, 6, 7, 8, 10, 9, 11, 13, 12, 15, 14, 16, 18, 17, 20, 21, 19, 23, 22, 25, 24, 27, 28, 29, 26, 31, 32, 33, 30, 34, 36, 35, 37, 39, 40, 41, 38, 42, 44, 43, 46, 47, 45, 49, 48, 50, 51, 52, 54, 55, 56, 53, 58, 57, 59, 60, 61, 63, 62, 65, 64, 60, 66, 67, 70, 71, 68, 72, 69, 75, 76, 77, 73, 74, 79, 78, 82, 81, 84, 83, 80, 86, 85, 89, 88, 87, 90, 92, 94, 93, 91, 97, 96, 99, 95, 101, 100, 102, 104, 98, 106, 105, 108, 109, 107, 111, 103, 110, 112, 114, 116, 115, 75, 119, 118, 121, 113, 122, 120, 124, 27, 117, 127, 128, 130, 131, 123, 125, 134, 132, 136, 137, 133, 138, 122, 135, 139, 129, 140, 145, 126, 147, 141, 146, 150, 143, 142, 149, 152, 148, 50, 155, 156, 158, 153, 157, 161, 151, 160, 163, 165, 164, 166, 154, 162, 168, 170, 172, 174, 175, 159, 177, 169, 179, 176, 144, 182, 171, 181, 173, 186, 187, 167, 180, 183, 191, 178, 188, 184, 185, 194, 196, 195, 199, 200, 192, 198, 193, 202, 203, 189, 201, 190, 206, 204, 210, 197, 26, 205, 209, 213, 208, 214, 216, 220, 215, 207, 149, 212, 193, 221, 224, 228, 217, 230, 225, 223, 222, 227, 235, 232, 234, 237, 211, 239, 240, 238, 226, 218, 219, 246, 244, 242, 247, 241, 248, 249, 233, 253, 229, 256, 255, 243, 250, 257, 252, 254, 258, 260, 259, 263, 236, 268, 245, 266, 265, 261, 264, 270, 271, 276, 269, 262, 278, 272, 274, 273, 283, 281, 279, 231, 282, 287, 280, 285, 289, 275, 286, 251, 294, 295, 288, 293}

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

Returns: {1, 0, 0, 0, 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, 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, 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 }
{-1, 0, 0, 1, 3, 4, 4, 3, 6, 8, 9, 2, 7, 2, 10, 11, 6, 10, 17, 9, 13, 4, 14, 20, 12, 3, 7, 20, 26, 28, 18, 17, 2, 22, 29, 9, 6, 35, 30, 21, 15, 39, 32, 42, 21, 43, 27, 46, 16, 34, 41, 25, 49, 40, 42, 45, 52, 22, 23, 24, 40, 36, 37, 61, 59, 33, 64, 5, 18, 65, 54, 68, 51, 46, 57, 62, 59, 22, 2, 48, 44, 30, 66, 40, 7, 50, 25, 53, 13, 75, 82, 72, 88, 44, 68, 28, 93, 39, 68, 21, 15, 42, 20, 52, 55, 41, 80, 56, 104, 38, 96, 20, 23, 1, 90, 39, 106, 60, 102, 90, 13, 54, 62, 103, 35, 107, 125, 70, 110, 73, 105, 81, 126, 121, 127, 31, 83, 58, 110, 134, 132, 91, 95, 78, 0, 44, 106, 85, 97, 124, 145, 34, 137, 138, 130, 71, 90, 56, 63, 113, 101, 96, 151, 94, 51, 77, 84, 161, 3, 129, 164, 114, 52, 131, 165, 88, 117, 78, 170, 81, 68, 149, 152, 67, 76, 140, 139, 147, 27, 141, 176, 80, 189, 175, 49, 51, 78, 162, 193, 187, 157, 3, 159, 192, 145, 48, 201, 196, 181, 171, 166, 34, 83, 37, 179, 17, 114, 89, 164, 189, 219, 100, 156, 120, 217, 128, 92, 30, 184, 84, 92, 198, 98, 199, 233, 91, 220, 148, 43, 167, 235, 69, 118, 142, 121, 57, 122, 33, 19, 237, 177, 218, 176, 225, 166, 153, 183, 223, 190, 133, 75, 107, 250, 204, 194, 158, 264, 123, 242, 237, 254, 138, 258, 166, 129, 228, 60, 91, 134, 267, 35, 160, 212, 143, 144, 187, 89, 174, 278, 276, 236, 112, 133, 40, 105, 210, 142, 90, 201, 201}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 2, 0, 4, 3, 6, 7, 8, 9, 5, 10, 12, 13, 11, 14, 16, 17, 18, 19, 15, 21, 20, 22, 23, 25, 26, 24, 27, 28, 30, 31, 29, 33, 32, 35, 34, 37, 36, 38, 39, 40, 41, 43, 42, 44, 46, 45, 47, 48, 50, 36, 49, 53, 52, 54, 51, 56, 58, 55, 60, 61, 57, 63, 64, 36, 65, 67, 68, 62, 59, 71, 70, 72, 69, 74, 75, 54, 76, 78, 73, 77, 79, 80, 66, 83, 81, 46, 86, 89, 82, 85, 92, 91, 87, 95, 88, 97, 94, 90, 98, 101, 102, 100, 96, 105, 99, 84, 26, 108, 110, 111, 112, 104, 106, 114, 113, 115, 109, 11, 116, 120, 119, 93, 118, 122, 126, 123, 121, 127, 129}

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

Returns: {1, 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, 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 }
{-1, 0, 0, 2, 3, 4, 5, 1, 1, 2, 9, 7, 11, 10, 5, 6, 5, 7, 14, 15, 12, 17, 19, 21, 18, 22, 9, 26, 25, 27, 24, 8, 30, 22, 28, 20, 16, 31, 35, 4, 31, 29, 39, 38, 8, 13, 22, 34, 7, 42, 46, 28, 33, 26, 30, 37, 47, 48, 57, 19, 51, 7, 8, 11, 37, 4, 43, 0, 52, 65, 64, 40, 52, 56, 5, 4, 34, 74, 72, 75, 60, 8, 33, 82, 41, 42, 66, 11, 30, 53, 18, 45, 6, 88, 6, 80, 58, 38, 86, 57, 18, 98, 61, 72, 85, 101, 90, 84, 92, 49, 15, 13, 95, 71, 23, 55, 93, 7, 110, 83, 5, 104, 12, 14, 51, 123, 94, 122, 99, 84, 112, 81, 63, 2, 100, 5, 114, 67, 30, 73, 94, 32, 108, 84, 99, 126, 91, 97, 111, 67, 112, 143, 133, 128, 140, 70, 69, 107, 61, 135, 142, 125, 81, 160, 147, 115, 16, 156, 103, 162, 38, 148, 10, 113, 106, 163, 15, 105, 145, 173, 138, 36, 136, 78, 77, 9, 102, 151, 157, 132, 84, 2, 109, 144, 188, 71, 89, 3, 24, 192, 197, 185, 170, 11, 24, 199, 155, 167, 165, 62, 26, 150}

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

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

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 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 }
{-1, 0, 0, 1, 3, 2, 4, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 21, 19, 23, 24, 22, 26, 27, 25, 28, 30, 29, 32, 31, 17, 35, 34, 36, 33, 37, 39, 40, 38, 42, 43, 44, 45, 41, 48, 49, 46, 50, 47, 51, 53, 54, 56, 57, 58, 52, 55, 60, 62, 63, 61, 65, 64, 59, 66, 68, 67, 70, 69, 71, 74, 72, 76, 75, 77, 79, 80, 81, 73, 82, 78, 85, 83, 84, 88, 87, 86, 89, 91, 90, 92, 93, 94, 96, 98, 97, 99, 100, 95, 103, 104, 102, 101, 105, 107, 106, 110, 109, 108, 112, 111, 114, 97, 117, 113, 115, 116, 119, 121, 120, 123, 125, 124, 118, 128, 126, 129, 131, 122, 130, 132, 133, 134, 136, 135, 138, 140, 127, 137, 143, 139, 145, 144, 146}

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

Returns: {1, 0, 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, 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 }
{-1, 0, 0, 2, 1, 3, 5, 6, 7, 4, 8, 10, 9, 11, 12, 13, 15, 16, 14, 17, 19, 20, 18, 22, 23, 21, 24, 25, 9, 26, 29, 27, 31, 30, 28, 33, 32, 36, 37, 38, 39, 5, 35, 40, 41, 42, 43, 34, 44, 46, 48, 45, 49, 47, 50, 53, 55, 56, 54, 51, 58, 59, 52, 62, 57, 64, 65, 63, 67, 68, 60, 70, 61, 69, 73, 71, 72, 75, 74, 78, 77, 76, 66, 79, 83, 81, 80, 84, 85, 82, 86, 90, 87, 91, 89, 92, 93, 96, 95, 88, 98, 15, 94, 99, 97, 103, 100, 105, 106, 101, 107, 108, 110, 102, 112, 111, 104, 116, 113, 114, 119, 109, 118, 122, 120, 121, 117, 124, 127, 123, 126, 115, 129, 131, 130, 125, 134, 136, 137, 4, 132, 135, 138, 141, 143, 133, 128, 139, 145, 142, 148, 150, 151, 147, 152, 154, 153, 156}

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

Returns: {1, 0, 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, 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 }
{-1, 0, 0, 1, 3, 2, 4, 4, 5, 7, 9, 10, 11, 12, 13, 6, 15, 14, 5, 17, 19, 8, 18, 21, 10, 20, 16, 24, 26, 27, 23, 30, 28, 22, 23, 31, 30, 35, 36, 32, 25, 38, 37, 33, 40, 15, 41, 39, 34, 42, 45, 46, 51, 49, 53, 48, 52, 47, 54, 47, 24, 4, 17, 4, 62, 50, 63, 65, 66, 62, 64, 44, 34, 57, 29, 60, 68, 75, 55, 72, 76, 58, 40, 79, 71, 47, 56, 81, 86, 65, 67, 89, 43, 84, 59, 77, 74, 82, 80, 73, 18, 91, 44, 99, 99, 95, 96, 70, 106, 69, 104, 98, 88, 109, 103, 114, 61, 110, 101, 100, 117, 85, 112, 78, 115, 83, 90, 111, 101, 107, 118, 119, 93, 127, 122, 121, 130, 124, 134, 135, 116, 126, 133, 142, 131, 87, 112, 128, 141, 25, 68, 97, 92, 139, 132, 136, 124, 138, 143, 152, 108, 100, 102, 147, 140, 161, 123, 163, 157, 160, 18, 170, 79, 150, 143}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0 }
{-1, 0, 1, 2, 3, 0, 5, 6, 4, 6, 9, 10, 7, 8, 11, 12, 0, 14, 17, 16, 13, 19, 20, 21, 8, 18, 15, 22, 24, 10, 26, 30, 27, 25, 32, 34, 31, 29, 13, 33, 38, 38, 36, 40, 35, 41, 45, 39, 13, 47, 37, 43, 50, 46, 48, 28, 49, 53, 18, 56, 55, 52, 59, 62, 42, 64, 54, 57, 60, 51, 66, 49, 63, 67, 69, 23, 61, 58, 63, 39, 31, 65, 81, 8, 73, 63, 74, 83, 3, 77, 79, 88, 89, 70, 11, 86, 26, 13, 42, 72, 32, 44, 95, 90, 99, 91, 75, 96, 82, 56, 76, 84, 27, 107, 101, 112, 104, 92, 68, 42, 37, 78, 118, 66, 9, 97, 109, 113, 114, 124, 71, 121, 92, 98, 105, 56, 81, 136, 122}

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

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

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

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

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

Returns: {1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 3, 0, 4, 6, 5, 8, 7, 9, 11, 10, 12, 13, 15, 16, 14, 17, 19, 20, 21, 18, 23, 22, 24, 26, 27, 28, 25, 30, 29, 32, 33, 31, 34, 35, 37, 38, 36, 39, 41, 40, 42, 44, 45, 43, 46, 48, 47, 50, 49, 51, 53, 52, 55, 54, 56, 58, 59, 57, 61, 60, 62, 63, 65, 64, 66, 68, 69, 70, 71, 67, 73, 74, 75, 76, 72, 78, 79, 80, 81, 77, 83, 84, 82, 85, 86, 87, 89, 90, 88, 92, 91, 93, 95, 94, 97, 96, 98, 99, 100, 102, 103, 104, 101, 106, 105, 108, 109, 110, 107, 111, 113, 114, 115, 112, 116, 117, 118, 120, 121, 122, 123, 124, 125, 119, 126, 127, 128, 129, 131, 132, 130, 134}

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

Returns: {1, 1, 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, 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 }
{-1, 0, 1, 1, 3, 3, 0, 5, 7, 8, 9, 5, 11, 2, 6, 13, 14, 9, 12, 13, 16, 7, 17, 15, 23, 13, 4, 26, 24, 27, 9, 28, 20, 25, 19, 4, 33, 16, 27, 32, 30, 18, 10, 34, 19, 39, 37, 22, 47, 44, 45, 21, 29, 42, 50, 36, 38, 43, 9, 36, 52, 55, 46, 32, 63, 61, 63, 48, 49, 31, 60, 35, 67, 65, 51, 40, 73, 66, 27, 59, 46, 75, 66, 9, 80, 56, 64, 15}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 0, 2, 4, 3, 5, 7, 8, 9, 10, 6, 12, 11, 13, 14, 16, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 30, 33, 34, 32, 35, 37, 38, 36, 40, 39, 41, 43, 44, 45, 46, 47, 48, 49, 42, 50, 51, 53, 52, 54, 55, 57, 58, 59, 60, 61, 56, 62, 64, 63, 66, 67, 65, 69, 70, 68, 72, 73, 74, 71, 76, 77, 78, 75, 79, 62, 81, 82, 83, 84, 80, 87, 85, 88, 86, 90, 91, 92, 94, 89, 95, 96, 97, 93, 100, 98, 101, 103, 104, 99, 106, 102, 105, 108, 107, 110, 112, 111, 109, 113, 116, 114, 115, 118, 119, 121, 122, 117, 124, 123, 120, 126, 125, 128, 129, 122, 132, 131, 130, 133, 135, 127, 137, 136, 139, 140, 134, 142, 143, 145, 146, 138, 147, 144, 149, 148, 150, 126, 153, 155, 154, 156, 158, 151, 141, 157, 162, 163, 152, 165, 160, 159, 167, 168, 170, 161, 172, 173, 169, 164, 74, 176, 175, 179, 180, 178, 166, 181, 182, 177, 185, 171, 174, 187, 186, 190, 191, 188, 183, 194, 195, 196, 192, 198, 184, 201, 202, 197, 193, 128, 204, 205, 200, 209, 206, 210, 208, 207, 214, 213, 199, 212, 216, 215, 189, 217, 219, 221, 218, 220, 211, 225, 227, 223, 226, 222, 203, 233, 211, 235, 234, 228, 237, 232, 166, 229, 230, 236, 241, 243, 240, 244, 247, 239, 249, 246, 248, 242, 252, 231, 256, 245, 254, 258, 238, 15, 259, 262, 262, 261, 224, 263, 257, 267, 265, 270, 250, 253, 268, 274, 273, 269, 277, 264, 122, 278, 275, 281, 280, 272, 260, 276, 287, 285, 251, 286, 255, 291, 294, 290, 292, 295, 279}

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

Returns: {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 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, 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, 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 }
{-1, 0, 0, 1, 2, 3, 3, 6, 7, 8, 5, 4, 11, 10, 13, 14, 9, 15, 17, 18, 19, 20, 16, 12, 23, 22, 24, 25, 21, 26, 28, 29, 30, 27, 31, 33, 34, 32, 35, 36, 37, 39, 41, 40, 38, 43, 42, 46, 47, 45, 48, 9, 51, 44, 49, 54, 50, 52, 3, 56, 53, 58, 61, 23, 62, 59, 55, 63, 67, 68, 57, 69, 65, 72, 73, 71, 35, 70, 64, 66, 28, 60, 74, 75, 77, 69, 78, 79, 87, 81, 82, 90, 76, 85, 49, 84, 93, 94, 92, 96, 83, 86, 89, 101, 102, 99, 95, 106, 105, 100, 21, 91, 98, 109, 104, 80, 107, 113, 108, 103, 53, 117, 118, 88, 114, 9, 124, 120, 119, 97, 121, 128, 125, 131, 122, 112, 127, 111, 130, 137, 129, 123, 110, 138, 132, 143, 142, 145, 115, 140, 139, 144, 134, 147, 148, 149, 116, 150, 135, 158, 156, 151, 155, 126, 136, 162, 159, 166, 45, 15, 169, 141, 168, 154, 146, 160, 173, 153, 133, 177, 172, 171, 157, 175, 174, 163, 152, 183, 186, 187, 176, 178, 178, 185, 170, 167, 194, 193, 179, 180, 188, 184, 161, 195, 165, 191, 200, 197, 190, 196, 58, 182, 176, 209, 181, 206, 215, 205, 217, 210, 189, 199, 164, 204, 218, 224, 225, 203, 211, 222, 227, 223, 216, 198, 213, 234, 230, 207, 233, 214, 192, 237, 226, 238, 232, 240, 212, 228, 239, 241, 208, 247, 249, 243, 219, 242, 236, 256, 250, 253, 220, 235, 246, 201, 202, 251, 231, 262, 260, 259, 122, 261, 266, 245, 264, 254, 265, 257, 230, 244, 80, 209, 267, 272, 275, 258, 284, 255, 286, 285, 288, 270, 287, 252, 263, 292, 294, 112, 297, 291}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 3, 2, 5, 6, 4, 7, 9, 7, 10, 11, 13, 13, 15, 12, 17, 18, 14, 19, 16, 22, 23, 24, 20, 21, 27, 8, 25, 28, 26, 31, 33, 32, 34, 29, 37, 38, 7, 36, 39, 40, 29, 35, 44, 45, 42, 30, 47, 43, 49, 46, 50, 48, 54, 55, 53, 57, 58, 60, 61, 9, 51, 41, 62, 56, 63, 22, 65, 64, 59, 68, 61, 67, 73, 75, 74, 20, 69, 52, 70, 81, 77, 78, 82, 66, 86, 71, 35, 83, 91, 33, 79, 85, 37, 92, 87, 94, 99, 90, 53, 89, 96, 72, 84, 102, 97, 107, 104, 108, 109, 93, 98, 111, 76, 101, 114, 95, 112, 106, 110, 122, 123, 115, 105, 88, 126, 116, 125, 127, 120, 103, 133, 119, 131, 117, 134, 80, 25, 129, 113, 121, 141, 118, 139, 142, 144, 143, 140, 128, 149, 124, 136, 151, 150, 7, 12, 132, 152, 148, 154, 158, 135, 137, 147, 162, 153, 145, 168, 161, 170, 172, 160, 100, 159, 173, 168, 146, 175, 165, 157, 103, 166}

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

Returns: {1, 1, 1, 1, 0, 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, 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 }
{-1, 0, 0, 1, 3, 4, 5, 6, 7, 8, 2, 7, 10, 12, 9, 14, 3, 11, 17, 16, 19, 18, 12, 22, 21, 23, 5, 13, 27, 27, 28, 9, 20, 28, 15, 29, 26, 21, 24, 33, 37, 35, 36, 11, 6, 40, 39, 32, 31, 38, 25, 11, 2, 41, 44, 30, 52, 43, 55, 58, 49, 48, 56, 59, 53, 61, 62, 57, 51, 54, 30, 34, 63, 67, 65, 46, 45, 71, 64, 50, 75, 78, 74, 76, 15, 62, 83, 66, 86, 1, 69, 60, 82, 72, 93, 87, 84, 95, 70, 94, 77, 47, 88, 68, 100, 92, 98, 99, 81, 85, 93, 90, 110, 42, 101, 113, 109, 102, 97, 96, 80, 89, 7, 119, 91, 120, 103, 107, 92, 20, 59, 125, 117, 124, 114, 116, 1, 115, 123, 118, 106, 133, 136, 79, 105, 121, 142, 135, 108, 122, 104, 141, 146, 151, 111, 84, 144, 150, 156, 129, 89, 149, 152, 132, 162, 157, 165, 155, 126, 147, 159, 57, 140, 138, 154, 8, 112, 139, 48, 134, 73, 177, 146, 171, 173, 168, 181, 153, 130, 145, 164, 127, 182, 167, 113, 189, 161, 143, 72, 176, 186, 200, 188, 137, 163, 204, 131, 174, 192, 208, 183, 199, 128, 196, 205, 201, 203, 202, 180, 106, 197, 210, 215, 175, 218, 160, 193, 217, 179, 211, 194, 225, 185, 214, 130, 221, 227, 236, 231, 11, 232, 226, 228, 219, 107, 216, 192, 166, 125, 170, 213, 195, 103, 148, 220, 157, 244, 241, 235, 184, 207, 249, 250, 260, 222, 247, 245, 224, 169, 267, 209, 191, 269, 4, 83, 274, 198, 212, 240, 239, 61, 257, 243, 279, 230, 276, 256, 262, 210, 213, 238, 187, 235, 263, 158, 265, 278, 277, 275, 192}

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

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

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

Returns: {1, 1, 1, 1, 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 }
{-1, 0, 0, 1, 2, 4, 3, 6, 5, 7, 9, 10, 11, 12, 8, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 22, 24, 26, 27, 25, 29, 30, 28, 32, 33, 31, 34, 35, 36, 38, 37, 40, 39, 41, 42, 43, 44, 45, 47, 46, 48, 50, 49, 51, 53, 54, 55, 56, 57, 58, 52, 59, 61, 60, 63, 62, 65, 64, 66, 68, 67, 70, 71, 69, 73, 74, 75, 76, 77, 78, 72, 80, 79, 82, 81, 84, 83, 86, 87, 85, 89, 88, 91, 90, 93, 94, 95, 96, 92, 97, 99, 98, 101, 102, 103, 104, 105, 100, 107, 106, 109, 110, 108, 112, 111, 113, 114, 116, 115, 117, 118, 119, 121, 122, 120, 124, 123, 126, 127, 125, 128, 129, 130, 131, 132, 133, 135, 136, 137, 138, 139, 134, 141, 142, 140, 143, 145, 144, 146, 147, 149, 148, 151, 152, 150, 154, 153, 156, 155, 158, 157, 159, 161, 162, 160, 164, 163, 166, 165, 168, 167, 170, 169, 171, 172, 173, 174, 175, 177, 178, 176, 179, 181, 182, 180, 184, 183, 186, 185, 187, 188, 189, 190, 192, 191, 194, 195, 193, 196, 197, 199, 198, 200, 201, 203, 202, 204, 206, 205, 208, 209, 210, 211, 212, 213, 207, 214, 216, 217, 215, 218, 220, 219, 222, 223, 221, 225, 224, 227, 228, 226, 229, 230, 232, 231, 234, 233, 236, 235, 238, 237, 239, 240, 241, 242, 244, 245, 243, 247, 248, 249, 246, 251, 250, 253, 252, 254, 256, 257, 258, 259, 255, 261, 262, 263, 264, 265, 260, 267, 268, 266, 270, 271, 269, 272, 274, 275, 273, 277, 276, 278, 279, 281, 280, 283, 284, 285, 286, 282, 287, 289, 288, 291, 290, 293, 292, 295, 296, 294, 298}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 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, 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, 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 }
{-1, 0, 1, 2, 0, 3, 5, 4, 7, 8, 6, 9, 10, 11, 13, 14, 12, 16, 15, 17, 18, 20, 19, 22, 23, 21, 24, 25, 27, 26, 29, 28, 31, 30, 32, 34, 33, 35, 37, 36, 38, 39, 41, 40, 42, 44, 45, 43, 47, 46, 48, 50, 49, 51, 52, 54, 53, 56, 55, 57, 58, 59, 60, 61, 63, 64, 62, 65, 67, 68, 66, 70, 69, 71, 72, 73, 75, 76, 74, 78, 79, 80, 77, 82, 81, 83, 84, 85, 87, 86, 89, 90, 88, 91, 92, 93, 94, 95, 96, 97, 99, 98, 101, 102, 103, 104, 105, 106, 100, 54, 107, 108, 111, 109, 112, 110, 114, 115, 116, 113, 118, 55, 120, 117, 122, 121, 125, 119, 38, 124, 123, 130, 127, 132, 133, 128, 129, 126, 131, 137, 136, 140, 141, 139, 135, 142, 145, 134, 147, 146, 148, 138, 149, 152, 144, 143, 154, 153, 155, 55, 150, 157, 158, 159, 156, 162, 163, 151, 167, 161, 169, 170, 160, 168, 171, 165, 174, 172, 176, 177, 166, 175, 179, 117, 178, 181, 173, 164, 180, 182, 189, 184, 186, 188, 193, 192, 183, 187, 196, 197, 194, 198, 185, 190, 200, 197, 191, 201, 199, 195, 204, 202, 206, 209, 211, 213, 207, 212, 214, 218, 215, 210, 157, 216, 208, 203, 224, 220, 225, 219, 227, 217, 226, 231, 223, 222, 235, 236, 228, 233, 230, 238, 240, 239, 229, 241, 243, 245, 221, 232, 234, 205, 244, 252, 253, 237, 249, 250, 256, 254, 258, 255, 260, 246, 259, 264, 262, 251, 90, 268, 269, 257, 267, 266, 271, 261, 270, 265, 242, 275, 274, 273, 279, 276, 283, 284, 281, 263, 282, 280, 287, 286, 289, 292, 242, 248, 288, 272, 291, 294}

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

Returns: {1, 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, 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, 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 }
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Returns: {1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 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, 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, 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 }
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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 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, 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, 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 }
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Returns: {1, 1, 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, 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, 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 }
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Returns: {1, 1, 1, 1, 1, 0, 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, 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, 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 }
{-1, 0, 1, 0, 3, 2, 4, 2, 7, 5, 7, 1, 1, 11, 9, 5, 8, 14, 6, 15, 17, 16, 11, 1, 20, 6, 10, 22, 27, 12, 21, 11, 26, 15, 24, 0, 33, 23, 35, 22, 13, 34, 26, 40, 38, 28, 8, 10, 47, 31, 22, 36, 48, 37, 49, 2, 22, 46, 41, 41, 14, 44, 5, 43, 25, 6, 13, 29, 34, 68, 14, 69, 65, 66, 17, 29, 8, 6, 72, 73, 30, 6, 55, 80, 17, 60, 34, 34, 63, 71, 48, 53, 17, 19, 75, 39, 14, 37, 58, 52, 87, 42, 96, 98, 63, 16, 6, 10, 49, 57, 100, 64, 103, 42, 89, 7, 83, 51, 93, 53, 94, 49, 77, 34, 62, 49, 54, 91, 20, 76, 106, 108, 55, 61, 68, 99, 112, 59, 50, 27, 127, 130, 56, 122, 24, 54, 60, 109, 139, 123, 124, 130, 34, 148, 136, 138, 136, 48, 86, 93, 108, 11, 151, 72, 137, 97, 85, 29, 70, 135, 155, 129, 123, 160, 51, 90, 156, 118, 102, 2, 144, 44, 17, 122, 173, 18, 167, 63, 64, 32, 101, 146, 144, 125, 79, 45, 170, 11, 85, 128, 137, 67, 47, 132, 117, 6, 101, 88, 197, 68, 60, 132, 47, 6, 84, 107, 207, 165, 59, 171, 0, 59, 139, 202, 143, 215, 30, 182, 171, 227, 164, 83, 148, 184, 142, 152, 188, 142, 85, 117, 81, 183, 233, 213, 106, 225, 69, 36, 239, 184, 211, 246, 67, 190, 172, 224, 6, 232, 134, 190, 179, 187, 229, 253, 221, 131, 69, 193, 256, 81, 247, 206, 169, 248, 120, 244, 219, 72, 175, 274, 186, 156, 43, 30, 269, 174, 149, 103, 266, 263, 148, 200, 2, 104, 56, 7, 72, 255, 4, 203}

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

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

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

Returns: {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 2, 4, 3, 6, 5, 8, 9, 10, 7, 11, 13, 14, 15, 16, 12, 18, 17, 20, 19, 22, 23, 24, 25, 26, 27, 28, 21, 30, 31, 32, 33, 29, 35, 34, 37, 36, 38, 39, 40, 42, 41, 43, 44, 46, 47, 48, 45, 8, 49, 50, 51, 54, 53, 52, 55, 56, 59, 58, 61, 60, 62, 64, 65, 63, 57, 66, 68, 70, 67, 69, 72, 74, 71, 75, 21, 73, 79, 78, 77, 81, 80, 83, 82, 85, 86, 87, 88, 84, 76, 92, 89, 91, 90, 96, 95, 94, 93, 97, 100, 99, 101, 102, 104, 98, 105, 103, 106, 109, 108, 112, 111, 107, 114, 110, 116, 118, 113, 117, 121, 115, 119, 120, 125, 123, 124, 128, 122, 129, 130, 126, 132, 133, 134, 136, 131, 137, 138, 139, 135, 140, 143, 127, 145, 142, 146, 147, 148, 149, 150, 151, 152, 154, 144, 156, 153, 155, 18, 141, 160, 162, 158, 164, 163, 161, 157, 168, 167, 165, 169, 159, 171, 166, 174, 170, 176, 172, 179, 175, 71, 173, 177, 180, 182, 184, 185, 188, 186, 183, 190, 189, 192, 187, 178, 195, 197, 181, 193, 196, 200, 198, 201, 191, 202, 194, 206, 207, 176, 203, 208, 204, 210, 199, 212, 215, 205, 217, 213, 219, 209, 211, 221, 220, 218, 214, 222, 228, 226, 230, 231, 216, 227, 234, 223, 233, 235, 236, 239, 225, 238, 241, 232, 240, 224, 237, 242, 229, 248, 244, 250, 247, 252, 254, 246, 253, 256, 243, 257, 255, 251, 79, 262, 263, 249, 264, 260, 259, 245, 261, 266, 268, 271, 269, 267, 258, 270, 265, 279, 280, 278, 276, 283, 273, 277, 274, 282, 285, 272, 290, 291, 288, 201, 293, 295, 286, 281, 297}

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

Returns: {1, 1, 1, 1, 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, 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, 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 }
{-1, 0, 1, 2, 3, 0, 3, 4, 5, 7, 1, 8, 11, 7, 6, 9, 13, 14, 2, 13, 17, 18, 21, 10, 16, 23, 12, 20, 3, 1, 20, 30, 27, 26, 25, 15, 29, 10, 32, 23, 37, 12, 20, 24, 32, 1, 45, 19, 46, 3, 24, 16, 47, 38, 18, 45, 39, 56, 9, 49, 50, 54, 35, 57, 58, 18, 48, 22, 42, 60, 28, 31, 34, 11, 5, 70, 41, 11, 68, 74, 64, 59, 20}

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

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

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

Returns: {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 0, 1, 3, 2, 4, 5, 6, 7, 4, 2, 8, 9, 11, 14, 15, 10, 13, 13, 12, 20, 9, 22, 16, 23, 19, 17, 21, 26, 11, 18, 30, 7, 32, 24, 31, 29, 28, 34, 27, 38, 34, 35, 33, 44, 45, 36, 25, 43, 9, 49, 48, 37, 50, 53, 40, 54, 51, 52, 57, 47, 41, 42, 0, 60, 64, 62, 65, 0, 62, 37, 44, 4, 56, 70, 46, 58, 71, 74, 78, 75, 55, 81, 76, 83, 84, 0, 5, 10, 26, 63, 39, 72, 80, 0, 93, 85, 69, 96, 59, 92, 97, 95, 97, 98, 87, 73, 107, 90, 106, 77, 88, 104, 91, 110, 92, 89, 111, 117, 112, 107, 114, 67, 100, 108, 102, 68, 33, 94, 66, 113, 79, 128, 5, 132, 119, 103, 121, 135, 124, 136, 82, 105, 141, 138, 142, 12, 126, 143, 115, 130, 6, 144, 134, 5, 127, 148, 146, 151, 45, 160, 141, 99, 160}

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

Returns: {1, 0, 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, 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 }
{-1, 0, 1, 2, 0, 3, 0, 6, 5, 7, 8, 9, 10, 4, 13, 14, 12, 11, 17, 15, 18, 16, 4, 20, 21, 23, 19, 26, 24, 27, 21, 25, 22, 32, 30, 29, 31, 33, 37, 28, 6, 38, 34, 26, 40, 44, 36, 43, 39, 45, 36, 14, 41, 48, 9, 15, 53, 8, 6, 50, 42, 41, 56, 54, 58, 52, 11, 62, 15, 55, 25, 65, 51, 69, 59, 70, 50, 35, 63, 49, 68, 77, 64, 45, 76, 57, 46, 82, 83, 79, 66, 73, 90, 81, 80, 10, 32, 72, 87, 95, 5, 55, 46, 84, 92, 96, 22, 103, 88, 104, 61, 71, 85, 86, 98, 47, 93, 19, 74, 109, 87, 60, 113, 112, 26, 105, 97, 116, 111, 115, 125, 94, 32, 67, 99, 118, 63, 117, 130, 136, 132, 129, 78, 126, 121, 144, 107, 100, 146, 142, 149, 138, 28, 150, 137, 106, 141, 148, 155, 75, 139, 102, 152, 137, 128, 157, 122, 151, 154, 131, 121, 68, 22, 61, 143, 17, 145, 160, 177, 41, 174, 147, 161, 167, 101, 184, 151, 164, 153, 173, 175, 63, 178, 124, 127, 176, 182, 193, 197, 169, 172, 110, 76, 188, 196, 162, 135, 123, 185, 203, 179, 201, 202, 140, 75, 108, 183, 91, 209, 68, 187, 212, 87, 195, 153, 207, 215, 95, 223, 82, 114, 191, 133, 205}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 }
{-1, 0, 1, 0, 3, 2, 4, 5, 0, 6, 9, 10, 7, 9, 4, 8, 13, 16, 17, 12, 6, 19, 15, 21, 14, 24, 25, 24, 1, 24, 28, 18, 26, 29, 5, 27, 11, 32, 30, 36, 34, 3, 20, 23, 33, 35, 45, 42, 42, 22, 48, 50, 47, 49, 46, 31, 39, 56, 44, 40, 43, 55, 38, 2, 63, 53, 58, 41, 59, 26, 68, 69, 70, 61, 53, 64, 51, 37, 65, 74, 71, 4, 72, 36, 80, 81, 59, 75, 62, 73, 87, 88, 89, 90, 12, 54, 84, 52, 93, 94, 98, 91, 66, 40, 102, 101, 38, 99, 85, 108, 105, 82, 67, 65, 79, 53, 111, 45, 114, 12, 96, 117, 11, 100, 115, 77, 106, 107, 127, 124, 92, 116, 125, 88, 62, 133, 123, 118, 113, 78, 109, 128, 95, 65, 139, 137, 12, 146, 120, 104, 110, 95, 134, 133, 124, 147, 152, 135, 144, 142, 33, 60, 138, 147, 140, 107, 151, 112, 166, 140, 119, 42, 154, 119, 132, 160, 149, 155, 163, 83, 159, 111, 177, 148, 183, 157, 185, 173, 186, 158, 172, 182, 126, 178, 153, 161, 184}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0 }
{-1, 0, 1, 2, 3, 4, 0, 6, 5, 7, 8, 10, 11, 12, 9, 14, 13, 15, 17, 18, 16, 20, 19, 22, 23, 21, 25, 24, 27, 26, 28, 8, 31, 29, 33, 34, 35, 32, 37, 38, 36, 39, 40, 41, 42, 30, 45, 43, 47, 44, 49, 48, 46, 16, 50, 52, 51, 55, 56, 54, 59, 56, 61, 60, 63, 58, 64, 51, 62, 53, 68, 70, 71, 71, 69, 65, 67, 75, 76, 72, 74, 79, 80, 78, 57, 84, 83, 77, 86, 87, 82, 85, 66, 88, 90, 73, 91, 81, 93, 97, 95, 94, 98, 101, 92, 96, 104, 99, 103, 105, 102, 109, 106, 108, 110, 111, 114, 107, 117, 115, 116, 89, 120, 122, 118, 123, 62, 124, 120, 125, 126, 128, 112, 131, 129, 132, 134, 121, 113, 133, 136, 140, 139, 141, 143, 127, 137, 100, 144, 130, 138, 150, 142, 149, 135, 151, 153, 148, 147, 155, 119, 160, 159, 157, 154, 156, 164, 152, 162, 168, 145, 146, 170, 172, 158, 171, 174, 167, 173, 165, 163, 175, 177, 182, 169, 178}

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

Returns: {1, 0, 0, 0, 0, 0, 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, 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 }
{-1, 0, 1, 2, 3, 4, 1, 6, 7, 0, 9, 10, 8, 11, 12, 14, 15, 13, 7, 18, 16, 12, 5, 17, 4, 19, 15, 24, 20, 21, 10, 18, 25, 13, 17, 22, 22, 26, 31, 33, 27, 29, 13, 31, 37, 39, 36, 41, 44, 45, 38, 49, 5, 33, 44, 28, 52, 19, 53, 48, 32, 43, 31, 62, 60, 54, 65, 9, 35, 37, 67, 51, 63, 30, 38, 34, 58, 18, 47, 40, 16, 46, 11, 74, 59, 52, 42, 82, 66, 77, 86, 68, 69, 81, 87, 79, 93, 23, 56, 18, 61, 75, 38, 71, 73, 76, 73, 89, 96, 56, 92, 78, 111, 110, 86, 113, 52, 94, 97, 3, 106, 50, 104, 88, 72, 9, 112, 91, 103, 120, 107, 102, 98, 70, 3, 113, 123, 105, 132, 80, 127, 126, 126, 136, 129, 116, 106, 135, 85, 55, 99, 53, 109, 146, 148, 57, 140, 95, 139, 138, 114, 128, 73, 84, 131, 152, 63, 35, 147, 1, 83, 117, 142, 154, 161, 163, 160, 153, 168, 100, 141, 162, 59, 165, 157, 77, 173, 137, 130, 184, 101, 133, 145, 189, 54, 88, 144, 119, 195, 179, 187, 21, 158, 178, 121, 78, 202, 2, 198, 193, 180, 169, 25, 122, 188, 202, 8, 84, 170, 74, 145, 125, 167, 182, 221, 90, 206, 171, 199, 194, 166, 191, 174, 196, 120, 214, 212, 124, 149, 236, 233, 219, 222, 219, 223, 242, 176, 224, 217, 143, 108, 246, 229, 215, 225, 252, 199, 159, 211, 3, 233, 256, 255, 207, 186, 207, 148, 172, 20, 182, 13, 186, 204, 213, 228, 134, 164, 115, 269, 172, 272, 185, 171, 234, 282, 95, 284, 278, 198, 163, 267, 127, 111, 238, 192, 201, 240, 281, 250, 218}

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

Returns: {1, 1, 1, 0, 0, 0, 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, 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, 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, 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 }
{-1, 0, 0, 2, 1, 4, 5, 3, 6, 7, 9, 10, 8, 11, 12, 10, 14, 16, 13, 18, 19, 2, 21, 22, 15, 17, 23, 26, 5, 24, 28, 27, 31, 29, 25, 30, 13, 35, 12, 20, 32, 38, 40, 36, 42, 44, 19, 46, 16, 39, 47, 48, 34, 45, 50, 41, 37, 43, 44, 40, 53, 56, 54, 33, 52, 50, 65, 26, 63, 16, 30, 55, 49, 57, 69, 62, 19, 64, 37, 24, 73, 74, 58, 60, 70, 68, 67, 51, 87, 66, 80, 59, 78, 77, 89, 85, 61, 91, 71, 79, 86, 84, 96, 90, 72, 100, 105, 99, 95, 72, 109, 83, 101, 75, 103, 111, 113, 115, 82, 88, 106, 117, 98, 80, 93, 120, 114, 112, 81, 76, 124, 107, 128, 76, 130, 110, 97, 134, 132, 27, 139}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 }
{-1, 0, 0, 2, 1, 4, 4, 5, 6, 7, 9, 9, 3, 8, 0, 9, 6, 10, 12, 14, 19, 19, 15, 11, 20, 23, 0, 17, 21, 18, 24, 25, 30, 13, 28, 22, 31, 13, 32, 36, 37, 27, 23, 40, 16, 40, 45, 16, 47, 34, 30, 24, 0, 43, 46, 16, 4, 29, 20, 58, 53, 60, 21, 44, 41, 48, 49, 5, 7, 38, 39, 6, 65, 69, 33, 73, 56, 75, 66, 64, 70, 42, 78, 75, 55, 3, 57, 78, 71, 19, 77, 22, 35, 90, 51, 18, 81, 20, 15, 79, 41, 94, 28, 50, 93, 103, 88, 18, 25, 84, 72, 80, 82, 85, 104, 76, 43, 97, 67, 49, 111, 52, 101, 121, 119, 92, 86, 100, 1, 0, 126, 21, 78, 114, 57, 90, 112, 26, 106, 95, 104, 63, 127, 97, 62, 124, 65, 131, 68, 89, 50, 147, 144, 138, 139, 76, 116, 99, 135, 118, 157, 25, 101, 128, 70, 87, 11, 146, 137, 132, 61, 8, 123, 149, 171, 170, 120, 130, 159, 43, 134, 35, 166, 109, 163, 136, 171, 73, 183, 107, 98, 172, 167, 50, 55, 91, 55, 137, 145, 116, 49, 179, 159, 15, 162, 196, 168, 96, 169, 191, 187, 108, 34, 4, 112, 106, 79, 188, 59, 186, 105, 144, 57, 192, 210, 203, 6, 215, 83, 50, 225, 203, 148, 97, 189, 220, 158, 176, 161, 79, 209, 198, 219, 21, 207, 20, 223, 125, 180, 184, 152, 202, 226, 244, 152, 214, 181, 223, 239, 224, 187, 122, 143, 232, 237, 62, 153, 161, 177, 255, 175, 208, 12, 113, 96, 169, 235, 68, 236, 201, 269, 217, 182, 142, 238, 117, 74, 152, 178, 273, 160, 78, 222, 89, 286, 266, 249, 257, 220, 174}

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

Returns: {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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 }
{-1, 0, 0, 2, 1, 3, 4, 6, 5, 7, 9, 10, 8, 11, 12, 13, 15, 14, 17, 16, 18, 19, 20, 22, 21, 23, 24, 26, 25, 27, 28, 30, 31, 32, 29, 33, 34, 35, 37, 36, 39, 38, 40, 42, 41, 44, 43, 45, 47, 46, 49, 48, 51, 52, 50, 53, 54, 55, 57, 56, 58, 60, 61, 62, 63, 59, 65, 64, 67, 68, 66, 69, 71, 70, 73, 74, 75, 72, 77, 78, 76, 80, 79, 82, 81, 84, 85, 86, 83, 87, 88, 90, 91, 92, 89, 93, 95, 96, 94, 97, 98, 100, 99, 101, 103, 102, 104, 105, 106, 108, 109, 107, 110, 111, 113, 112, 114, 116, 115, 117, 118, 120, 121, 119, 123, 122, 125, 126, 127, 128, 129, 124, 130, 131, 132, 133, 135, 134, 136, 138, 137, 140, 141, 139, 143, 144, 145, 146, 147, 148, 142, 149, 151, 152, 153, 10, 154, 150, 155, 157, 156, 160, 158, 161, 159, 162, 164, 163, 167, 165, 166, 170, 169, 168, 172, 171, 175, 176, 173, 174, 177, 179, 178, 182, 183, 181, 185, 184, 186, 180, 188, 190, 187, 189, 193, 194, 191, 192, 195, 196, 198, 200, 199, 201, 202, 203, 205, 204, 206, 207, 197, 209, 211, 210, 212, 213, 215, 214, 217, 218, 216, 208, 221, 220, 219, 223, 222, 225, 226, 228, 229, 230, 231, 232, 233, 227, 235, 236, 224, 238, 234, 240, 241, 242, 237, 243, 244, 246}

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

Returns: {1, 0, 1, 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, 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, 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 }
{-1, 0, 1, 2, 0, 3, 4, 6, 7, 5, 9, 8, 11, 12, 10, 13, 14, 16, 17, 18, 15, 19, 21, 20, 23, 24, 22, 25, 27, 28, 29, 30, 26, 31, 32, 33, 34, 36, 35, 38, 37, 40, 41, 42, 39, 43, 44, 45, 46, 48, 47, 50, 49, 51, 52, 54, 55, 53, 57, 58, 56, 59, 60, 61, 62, 63, 61, 64, 67, 65, 66, 69, 70, 68, 73, 71, 74, 76, 72, 78, 79, 75, 80, 82, 77, 84, 83, 86, 87, 81, 89, 90, 91, 88, 85, 92, 95, 96, 97, 94, 93, 99, 98, 102, 101, 100, 103, 104, 105, 108, 106, 110, 109, 111, 112, 107, 113, 115, 114, 117, 118, 119, 116, 120, 123, 122, 121, 126, 127, 124, 125, 129, 130, 132, 133, 134, 131, 136, 128, 138, 137, 135, 140, 142, 139, 141, 145, 143, 147, 144, 149, 150, 148, 146, 151, 152, 155, 154, 156, 158, 153, 160, 157, 159, 161, 162, 165, 164, 167, 163, 169, 168, 166, 172, 173, 171, 170, 176, 175, 177, 174, 180, 178, 181, 179, 184, 183, 185, 187, 186, 182, 188, 190, 189, 191, 194, 193, 192, 196, 197, 198, 195, 200, 202, 199, 201, 203, 206, 204, 207, 209, 210, 208, 212, 211, 214, 215, 216, 213, 217, 219, 205, 221, 222, 223, 224, 220, 218, 225, 226, 227, 229, 231, 230, 228, 232, 233, 235, 237, 234, 239, 236, 238, 240, 241, 244, 243, 242, 247, 245, 246, 248, 249, 250, 252, 251, 254, 255, 253, 256, 259, 258, 257, 262, 261, 263, 265, 264, 267, 268, 269, 270, 271, 260, 266, 272, 275, 274, 276, 273, 278, 277, 281, 279, 282, 284, 283, 280, 287, 285, 288, 286, 291, 290, 289, 294, 292, 293, 295, 298}

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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 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, 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, 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 }
{-1, 0, 0, 2, 3, 1, 4, 6, 5, 8, 9, 10, 7, 12, 13, 11, 14, 15, 17, 18, 16, 20, 11, 22, 21, 24, 19, 25, 23, 27, 8, 28, 26, 31, 29, 33, 30, 34, 36, 3, 32, 39, 38, 41, 42, 35, 40, 37, 46, 45, 43, 48, 49, 50, 51, 54, 53, 52, 56, 55, 44, 58, 57, 47, 62, 61, 63, 64, 60, 59, 65, 66, 71, 67, 70, 73, 68, 74, 72, 78, 69, 76, 77, 80, 79, 81, 75, 86, 82, 83, 89, 88, 91, 85, 84, 90, 93, 92, 94, 50, 99, 97, 98, 102, 101, 100, 104, 95, 87, 105, 108, 107, 96, 112, 110, 111, 106, 103, 116, 115, 118, 109, 117, 121, 119, 120, 122, 113, 124, 126, 125, 114, 123, 131, 127, 132, 135, 129, 134, 128, 130, 137, 140, 141, 136, 53, 145, 57, 143, 139, 94, 149, 138, 150, 152, 146, 142, 144, 148, 154, 153, 147, 133, 162, 156, 26, 151, 159, 160, 155, 169, 168, 65, 164, 173, 171, 158, 157, 75, 175, 170, 178, 167, 177, 176, 20, 174, 163, 185, 79, 188, 183, 189, 190, 172, 191, 195, 193, 166, 181, 194, 187, 55, 198, 186, 184, 199, 179, 204, 206, 165, 200, 161, 192, 197, 207, 196, 211, 205, 203, 218, 212, 202, 215, 201, 223, 220, 224, 226, 222, 225, 227, 182, 208, 228, 217, 213, 209, 234, 210, 233, 230, 221, 237, 239, 235, 241, 238, 242, 232, 243, 180, 248, 245, 253, 246, 252, 216, 236, 231, 251, 244, 254, 214, 262, 261, 229, 219, 267, 264, 247, 260, 269, 250, 255, 270, 259, 273, 266, 40, 277, 268, 281, 275, 257, 272, 276, 284, 263, 288, 282, 271, 291, 2, 256, 293, 177, 289, 240, 297}

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

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

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

Returns: {1, 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 }
{-1, 0, 1, 2, 3, 0, 4, 5, 5, 8, 4, 9, 6, 9, 11, 7, 12, 7, 10, 16, 19, 15, 21, 14, 21, 13, 17, 18, 20, 28, 29, 24, 31, 32, 27, 26, 23, 14, 25, 13, 36, 34, 39, 42, 33, 30, 44, 41, 47, 31, 40, 42, 43, 52, 51, 33, 29, 56, 53, 57, 50, 35, 60, 38, 46, 45, 49, 58, 62, 48, 55, 21, 37, 72, 65, 66, 73, 59, 69, 75, 41, 68, 71, 61, 70, 77, 80, 54, 67, 74, 64, 88, 81, 92, 93, 89, 95, 82, 79, 86, 83, 30, 94, 93, 98, 103, 91, 106, 104, 8, 84, 18, 55, 100, 97, 63, 90, 78, 105, 118, 116, 99, 75, 94, 101, 110, 115, 108, 19, 113, 85, 117, 96, 76, 120, 125, 111, 109, 132, 112, 126, 87, 8, 131, 137, 119, 144, 123, 127, 138, 122, 107, 129, 92, 124, 146, 135, 36, 121, 85, 156, 149, 160, 22, 152, 39, 147, 140, 78, 168, 27, 148, 128, 162, 124, 154, 153, 145, 65, 178, 176, 166, 130, 134, 139, 136, 133, 165, 157, 186, 188, 177, 156, 187, 74, 159, 11, 142, 193, 172, 180, 194, 164, 196, 197, 185, 84, 128, 173, 126, 167, 58, 195, 208, 170, 181, 161, 120, 210, 71, 207, 218, 191, 143, 141, 9, 214, 215, 222, 163, 210, 189, 155, 232, 225, 206, 161, 192, 69, 183, 169, 174, 221, 238, 235, 230, 224, 234, 198, 244, 68, 250, 229, 236, 249, 246, 252, 223, 216, 255, 251, 179, 148, 171, 237, 40, 254, 261}

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Returns: {1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 }
{-1, 0, 0, 1, 3, 2, 4, 6, 7, 8, 5, 10, 9, 12, 13, 14, 11, 15, 16, 17, 19, 20, 21, 18, 22, 23, 25, 26, 24, 28, 29, 27, 31, 32, 33, 34, 30, 35, 36, 37, 39, 40, 41, 38, 43, 42, 44, 46, 45, 48, 49, 50, 47, 51, 53, 52, 54, 56, 57, 58, 59, 60, 61, 62, 63, 55, 64, 66, 67, 65, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 69, 81, 82, 83, 85, 86, 87, 84, 89, 88, 90, 91, 92, 94, 95, 96, 93, 97, 99, 100, 101, 98, 102, 104, 105, 103, 106, 108, 107, 109, 110, 111, 113, 112, 115, 116, 114, 118, 117, 120, 121, 119, 123, 124, 125, 126, 127, 122, 128, 129, 131, 130, 132, 133, 135, 136, 134, 137, 138, 140, 141, 142, 143, 139, 144, 146, 147, 145, 148, 149, 150, 151, 152, 154, 153, 156, 157, 155, 158, 160, 161, 162, 159, 164, 163, 166, 167, 168, 165, 170, 169, 172, 134, 174, 171, 176, 173, 175, 178, 180, 179, 182, 177, 183, 184, 181, 186, 188, 185}

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

Returns: {1, 1, 0, 1, 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, 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 }
{-1, 0, 0, 2, 3, 1, 4, 6, 7, 5, 9, 10, 11, 8, 12, 14, 13, 15, 17, 16, 19, 18, 21, 20, 22, 24, 25, 26, 23, 28, 27, 30, 29, 31, 33, 32, 34, 36, 35, 37, 39, 38, 40, 41, 42, 43, 45, 46, 44, 47, 49, 48, 51, 52, 53, 50, 55, 54, 57, 58, 56, 59, 60, 61, 63, 64, 65, 62, 67, 68, 66, 69, 70, 71, 73, 74, 72, 75, 77, 78, 79, 80, 81, 82, 76, 83, 84, 85, 87, 86, 89, 90, 88, 91, 92, 94, 93, 95, 97, 96, 98, 99, 101, 100, 102, 104, 105, 103, 107, 106, 108, 109, 110, 111, 112, 113, 114, 116, 117, 115, 118, 120, 121, 122, 119, 123, 125, 124, 127, 128, 129, 126, 130, 131, 133, 132, 135, 136, 137, 138, 134, 140, 141, 142, 139, 144, 143}

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

Returns: {1, 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, 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 }
{-1, 0, 1, 2, 0, 2, 2, 3, 7, 5, 8, 4, 7, 9, 10, 13, 11, 8, 17, 6, 11, 14, 19, 20, 8, 8, 21, 23, 27, 2, 24, 30, 29, 28, 5, 16, 23, 18, 31, 34, 35, 39, 22, 37, 32, 40, 43, 26, 1, 4, 47, 41, 46, 45, 38, 3, 52, 49, 50, 51, 59, 42, 54, 55, 25, 0, 65, 61, 63, 68, 3, 58, 69, 72, 66, 27, 62, 73, 71, 50, 57, 49, 70, 2, 56, 64, 85, 36, 79, 48, 33, 76, 26, 86, 74, 77, 66, 56, 97, 66, 95, 98, 93, 43, 44, 8, 60, 53, 107, 94, 88, 12, 81, 102, 81, 89, 84, 103, 101, 92, 104, 113, 121, 108, 110, 100, 116, 91, 80, 37, 103, 70, 111, 91, 99, 134, 128, 132, 39, 117, 119, 114, 76, 88, 124, 75, 82, 137, 133, 78, 147, 94, 105, 108, 59, 145, 112, 151, 153, 156, 154, 15, 132, 11, 127, 15, 161, 140, 123, 90, 125, 122, 75, 143, 96, 164, 167, 51, 109, 120, 176, 142, 109, 173, 144, 130, 159, 67, 163, 54, 152, 175, 53, 171, 87, 187, 83, 148, 150, 141, 165, 138, 157, 188, 149, 177, 139, 194, 47, 57, 4, 196, 125, 118, 77, 210, 180, 160, 217, 211, 174, 178, 186, 206, 207, 198, 129, 205, 51, 216, 221, 155, 230, 203, 7, 140, 222, 220, 56, 189, 204, 196, 146, 231, 233, 236, 238, 231, 173, 158, 217, 162, 121, 119, 98, 179, 9, 172, 199, 228, 191, 117, 185, 212, 191, 221, 135, 209, 257, 181, 1, 166, 214, 196, 260, 249, 247, 104, 229, 268, 248, 260, 49, 14, 60, 276, 245, 182, 211, 228, 218, 243, 202, 252, 273, 246, 101, 215, 275, 106}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1 }
{-1, 0, 1, 2, 0, 4, 3, 5, 7, 6, 9, 8, 10, 12, 11, 13, 14, 15, 16, 17, 18, 20, 19, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 22, 36, 38, 39, 37, 40, 42, 41, 44, 45, 46, 47, 43, 49, 50, 48, 52, 53, 51, 55, 56, 54, 57, 59, 60, 58, 62, 61, 63, 65, 66, 67, 64, 68, 69, 71, 70, 73, 74, 75, 76, 77, 78, 72, 79, 80, 82, 83, 81, 85, 84, 87, 88, 89, 90, 91, 86, 93, 92, 94, 96, 95, 98, 97, 99, 101, 102, 100, 104, 103, 106, 107, 108, 109, 105, 110, 111, 113, 112, 114, 116, 117, 115, 119, 118, 121, 122, 123, 120, 125, 124, 126, 127, 128, 130, 129, 131, 133, 134, 135, 132, 137, 138, 136, 139, 140, 142, 143, 144, 145, 141, 146, 147, 149, 150, 148, 152, 151, 154, 153, 155, 157, 158, 156, 159, 161, 160, 162, 164, 163, 165, 167, 168, 169, 170, 171, 166, 173, 174, 175, 172, 176, 178, 179, 177, 180, 182, 183, 184, 181, 185, 186, 187, 189, 190, 191, 192, 188, 193, 195, 194, 197, 196, 198, 200, 201, 199, 203, 202, 205, 206, 207, 204, 209, 210, 211, 212, 213, 214, 215, 216, 217, 208, 218, 220, 219, 222, 223, 224, 225, 226, 227, 221, 229, 228, 230, 232, 231, 234, 233, 235, 236, 238, 237, 239, 240, 241, 243, 244, 245, 246, 242, 248, 249, 250, 247, 251, 253, 252, 255, 254, 256, 257, 259, 260, 261, 262, 263, 258, 265, 266, 264, 268, 269, 267, 271, 272, 270, 274, 275, 276, 273, 277, 278, 166, 279, 281, 280, 283, 282, 285, 286, 288, 284, 289, 290, 292, 291, 287, 295, 296, 297, 298}

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

Returns: {1, 1, 0, 0, 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, 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, 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 }
{-1, 0, 0, 2, 3, 4, 1, 5, 6, 8, 7, 9, 10, 11, 13, 14, 12, 15, 17, 18, 19, 20, 6, 22, 16, 24, 25, 23, 27, 26, 29, 30, 31, 32, 33, 28, 21, 35, 34, 37, 36, 28, 38, 41, 39, 42, 45, 40, 47, 43, 46, 50, 17, 51, 52, 54, 53, 48, 55, 49, 44, 56, 58, 61, 62, 57, 63, 49, 59, 65, 67, 66, 68, 69, 64, 55, 70, 76, 73, 74, 60, 75, 72, 79, 71, 80, 83, 86, 35, 85, 84, 90, 89, 88, 87, 94, 78, 77, 81, 95, 98, 91, 100, 93, 101, 104, 99, 82, 98, 106, 96, 103, 109, 110, 102, 60, 114, 108, 112, 97, 113, 105, 92, 115, 116, 118, 117, 125, 123, 126, 121, 111, 129, 23, 130, 127, 132, 122, 137, 134, 131, 101, 140, 135, 124, 138, 128, 145, 107, 139, 149, 133, 144, 151, 119, 141, 120, 143}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0 }
{-1, 0, 1, 2, 0, 3, 2, 5, 4, 7, 7, 9, 1, 12, 10}

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

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

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

Returns: {1, 1, 1, 0, 0, 0, 0, 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 }
{-1, 0, 0, 2, 3, 1, 4, 5, 6, 8, 7, 10, 11, 12, 13, 14, 14, 1, 15, 18, 16, 19, 10, 17, 23, 22, 20, 21, 27, 9, 26, 28, 24, 3, 22, 34, 29, 31, 33, 36, 32, 25, 37, 40, 35, 5, 44, 46, 20, 38, 39, 45, 48, 51, 30, 53, 0, 55, 41, 57, 59, 43, 26, 62, 60, 58, 50, 14, 63, 47, 61, 69, 56, 71, 7, 66, 54, 42, 52, 72, 73, 68, 81, 78, 64, 74, 85, 14, 47, 88, 76, 49, 87, 83, 79, 93, 3, 70, 82, 97, 72, 65, 24, 99, 103, 96, 77, 89, 86, 75, 108, 109, 55, 75, 112, 95, 104, 67, 95, 106, 113, 91, 119, 100, 123, 118, 111, 98, 120, 92, 122, 102, 80, 68, 107, 132, 101, 75, 130, 121, 127, 114, 110, 133, 80, 78, 76, 125, 45, 137, 116, 124, 149, 117, 148, 139, 105, 115, 143, 134, 25, 144, 138, 134, 147, 164, 153, 34, 161, 135, 145, 163, 129, 159, 152, 60, 126, 12, 168, 146, 172, 166, 160, 21, 178, 162, 177, 183, 175, 174, 107, 190, 158, 191, 155, 170, 136, 131, 196, 45, 142, 199, 188, 182, 167, 72, 186, 179, 206, 194, 204, 200, 187, 203, 207, 140, 171, 141, 176, 209, 211, 215, 157, 201, 93, 220, 156, 90, 192, 222, 154, 165, 218, 193, 225, 198, 202, 228, 226}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 }
{-1, 0, 0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 8, 13, 15, 16, 17, 14, 18, 20, 19, 22, 21, 23, 25, 26, 27, 28, 24, 29, 30, 32, 31, 33, 35, 34, 37, 36, 38, 40, 39, 42, 43, 44, 41, 46, 45, 48, 49, 50, 47, 51, 53, 54, 52, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 55, 66, 67, 69, 70, 71, 72, 73, 74, 68, 75, 76, 77, 79, 80, 81, 78, 82, 84, 83, 85, 87, 88, 86, 89, 90, 92, 93, 94, 91, 96, 95, 97, 98, 100, 99, 101, 103, 102, 104, 105, 107, 108, 109, 106, 111, 110, 113, 112, 115, 116, 114, 117, 119, 118, 120, 122, 121, 124, 125, 126, 123, 127, 129, 128, 131, 130, 133, 132, 135, 134, 137, 138, 139, 140, 141, 136, 142, 144, 145, 143, 146, 148, 149, 147, 151, 152, 153, 150, 155, 156, 157, 158, 159, 160, 154, 162, 161, 163, 164, 165, 167, 168, 166, 170, 171, 172, 173, 174, 169, 175, 177, 178, 179, 176, 180, 181, 182, 184, 185, 186, 183, 188, 187, 190, 189, 192, 193, 191, 195, 196, 194, 198, 199, 67, 201, 200, 197, 202, 205, 203, 206, 204, 209, 210, 208, 211, 213, 212, 214, 216, 215, 218, 217, 207, 220, 219, 223, 222, 225, 226, 224, 227, 229, 230, 221, 232, 233, 228, 231, 234, 235, 238, 236, 240, 239, 242, 243, 241, 237, 244, 247, 245, 246, 250, 251, 249, 248, 254, 252, 255, 256, 253, 259, 258, 260, 261, 257, 263, 264, 265, 262, 266, 268, 267, 269, 271, 272, 274, 275, 276, 270, 277, 278, 280, 279, 281, 282, 273, 284, 285, 283, 287, 289, 288, 290, 292, 286, 291, 295, 296, 294, 297}

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

Returns: {1, 1, 1, 1, 1, 1, 0, 1, 0, 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, 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, 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 }
{-1, 0, 1, 2, 0, 2, 0, 4, 1, 3, 8, 9, 10, 6, 13, 5, 7, 11, 12, 18, 16, 10, 20, 19, 21, 14, 15, 6, 26, 13, 13, 14, 29, 4, 25, 27, 7, 28, 2, 38, 24, 25, 32, 33, 20, 39, 2, 31, 36, 11, 7, 17, 46, 42, 35, 51, 20, 48, 41, 21, 50, 56, 20, 22, 59, 44, 52, 47, 37, 43, 56, 32, 50, 64, 55, 23, 69, 64, 18, 32, 36, 49, 63, 61, 2, 81, 82, 84, 30, 58, 89, 79, 71, 73, 41, 78, 76, 94, 72, 74, 62, 65, 8, 91, 75, 100, 55, 98, 98, 88, 60, 92, 107, 54, 70}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 0, 3, 4, 2, 6, 5, 7, 9, 10, 8, 11, 13, 12, 14, 16, 17, 15, 19, 18, 21, 22, 20, 24, 23, 25, 26, 28, 29, 30, 31, 27, 32, 34, 33, 35, 37, 38, 25, 39, 41, 36, 40, 44, 42, 45, 46, 48, 43, 47, 50, 52, 49, 51, 54, 56, 55, 58, 57, 60, 61, 59, 53, 64, 63, 66, 62, 67, 69, 70, 65, 72, 68, 74, 75, 71, 73, 76, 77, 79, 81, 78, 80, 3, 82, 85, 86, 88, 83, 89, 87, 92, 48, 94, 84, 91, 96, 93, 97, 99, 90, 102, 100, 103, 101, 105, 98, 108, 109, 107, 95, 104, 112, 106, 115, 110, 117, 111, 118, 113, 121, 116, 120, 114, 119, 123, 127, 124, 129, 125, 130, 131, 128, 132, 135, 122, 134, 136, 138, 137, 139, 141, 143, 126, 144, 140, 133, 145, 142, 146, 149, 151, 150, 152, 153, 154, 147, 155, 159, 160, 161, 148, 162, 158, 157, 166, 164, 163, 165, 167, 169, 170, 173, 174, 175, 19, 168, 176, 171, 177, 179, 178, 182, 100, 156, 186, 183, 172, 188, 185, 187, 190, 189, 181, 193, 195, 194, 197, 184, 196, 200, 199, 202, 198, 192, 204, 201, 206, 191, 59, 207, 208, 203, 212, 213, 215, 209, 180, 214, 216, 205, 220, 219, 210, 217, 226, 225, 218, 221, 223, 222, 224, 231, 230, 228, 233, 211, 236, 239, 235, 232, 238, 241, 244, 234, 240, 245, 246, 237, 243, 229, 249, 248, 247, 253, 252, 227, 254, 250, 259, 251, 256, 255, 264, 261, 265, 258, 267, 269, 266, 270, 268, 260, 257, 274, 271, 273, 272, 278, 280, 242, 281, 282, 263, 275, 285, 279, 288, 287, 262, 286, 290, 291, 294, 277, 289, 296, 292}

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

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

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

Returns: {1, 1, 0, 0, 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 }
{-1, 0, 0, 1, 3, 4, 2, 5, 7, 6, 8, 10, 11, 9, 13, 14, 12, 15, 17, 16, 19, 18, 21, 20, 23, 22, 24, 25, 27, 28, 29, 30, 31, 32, 26, 33, 34, 35, 36, 37, 39, 38, 41, 42, 43, 44, 40, 46, 45, 47, 49, 50, 48, 52, 53, 54, 51, 56, 57, 49, 59, 58, 60, 62, 61, 64, 65, 63, 67, 55, 68, 69, 70, 71, 73, 66, 75, 76, 74, 50, 78, 79, 72, 82, 77, 80, 41, 81, 83, 86, 84, 89, 90, 87, 85, 94, 91, 88, 93, 97, 96, 92, 99, 100, 98, 101, 41, 103, 105, 104, 9, 109, 111, 107, 106, 112, 102, 113, 116, 110, 95, 120, 118, 122, 48, 117, 125, 114, 108, 115, 123, 126, 130, 124, 129, 131, 127, 133, 121, 136, 119, 137, 140, 135, 134, 138, 144, 128, 142, 147, 141, 149, 145, 143, 151, 146, 153, 156, 154, 152, 159, 158, 139, 157, 150, 162, 132, 16, 164, 167, 163, 148, 160, 169, 172, 171, 170, 166, 174, 165, 168, 175, 178, 161, 183, 184, 185, 180, 179, 186, 177, 176, 187, 189, 182, 191, 194, 193, 188, 195, 199, 181, 197, 155, 190, 204, 202, 203, 3, 201, 173, 205, 210, 192, 211, 212, 214, 209, 206, 171, 198, 220, 219, 218, 200, 223, 215, 221, 196, 107, 226, 83, 229, 208, 207, 225, 228, 234, 230, 224, 233, 216, 232, 222, 242, 235, 243, 217, 231, 246, 245, 244, 247, 239, 237, 240, 148, 227, 168, 251, 236, 213, 254, 249, 258, 260, 248, 256, 267, 265, 261, 270, 269, 250, 262, 266, 275, 273, 252, 259, 253, 238, 272, 264, 280, 241, 255, 283, 281, 287, 23, 288, 290, 257, 277, 286, 143, 279, 271, 285}

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

Returns: {1, 1, 1, 1, 0, 0, 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, 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, 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 }
{-1, 0, 1, 0, 2, 3, 5, 4, 6, 8, 9, 7, 10, 12, 11, 13, 14, 15, 17, 18, 19, 16, 16, 20, 21, 23, 3, 25, 8, 16, 26, 28, 27, 32, 6, 31, 34, 22, 37, 37, 36, 34, 35, 3, 30, 24, 45, 41, 38, 42, 33, 48, 40, 52, 29, 50, 23, 47, 53, 54, 58, 43, 61, 59, 51, 62, 56, 65, 24, 35, 64, 67, 55, 44, 39, 73, 75, 60, 68, 70, 25, 66, 76, 80, 78, 81, 83, 86, 79, 23, 19, 69, 31, 57, 92, 91, 89, 93, 45, 40, 88, 96, 87, 21, 82, 90, 72, 106, 103, 105, 49, 46, 77, 27, 71, 99, 113, 95, 74, 5, 94, 104, 110, 108, 117, 61, 114, 121, 109, 101, 18, 128, 127, 119, 132, 8, 122, 100, 107, 134, 85, 126, 125, 133, 123, 111, 145, 26, 131, 146, 84, 150, 147, 151, 140, 97, 136, 153, 26, 115}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1 }
{-1, 0, 1, 2, 3, 4, 5, 0, 7, 6, 9, 8, 10, 12, 11, 13, 14, 15, 17, 18, 19, 16, 20, 22, 23, 24, 25, 21, 26, 27, 28, 29, 30, 32, 31, 34, 33, 35, 36, 37, 38, 39, 40, 41, 43, 42, 45, 46, 44, 48, 49, 47, 50, 51, 53, 54, 55, 52, 56, 57, 59, 58, 61, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 71, 77, 78, 79, 80, 76, 82, 83, 81, 85, 86, 84, 88, 87, 89, 91, 90, 93, 94, 95, 92, 96, 97, 98, 100, 99, 101, 103, 102, 104, 105, 106, 107, 108, 109, 111, 110, 113, 112, 115, 114, 116, 117, 118, 119, 120, 121, 122, 124, 123, 125, 127, 128, 126, 130, 129, 131, 132, 134, 133, 136, 135, 137, 138, 140, 139, 142, 141, 144, 143, 145, 146, 147, 148, 150, 149, 152}

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

Returns: {1, 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, 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 }
{-1, 0, 1, 0, 2, 4, 3, 6, 7, 8, 5, 9, 11, 12, 13, 10, 15, 16, 17, 14, 18, 19, 20, 21, 22, 24, 23, 25, 26, 27, 29, 30, 28, 31, 32, 34, 33, 35, 36, 38, 37, 40, 41, 42, 39, 44, 45, 46, 47, 43, 49, 50, 51, 48, 53, 54, 55, 52, 57, 56, 15, 58, 59, 60, 63, 61, 62, 66, 65, 64, 69, 70, 71, 68, 73, 67, 74, 76, 75, 77, 72, 78, 81, 80, 79, 83, 84, 86, 82, 85, 89, 90, 88, 72, 92, 91, 94, 87, 97, 96, 99, 100, 93, 98, 95, 103, 101, 104, 106, 108, 109, 94, 102, 110, 112, 114, 105, 116, 113, 111, 117, 120, 118, 107, 121, 115, 124, 123, 126, 127, 128, 125, 130, 131, 133, 132, 122, 119, 129, 138, 134, 135, 140, 137, 141, 144, 136, 139, 147, 143, 146, 145, 148, 142, 152, 151, 155, 149, 156, 153, 154, 157, 159, 158, 162, 150, 160, 164, 167, 168, 163, 170, 166, 172, 169, 165, 171, 173, 176, 161, 179, 177, 174, 180, 181, 175, 185, 183, 187, 178, 189, 184, 182, 188, 192, 193, 194, 190, 191, 197, 198, 199, 196, 200, 195, 186, 204, 202, 206, 203, 209, 208, 210, 205, 213, 201, 211, 215, 216, 214, 217, 212, 220, 219, 218, 221, 207, 222, 223, 228, 229, 226, 224, 225, 232, 234, 230, 227, 236, 238, 237, 240, 231, 242, 235, 32, 239, 245, 247, 244, 233, 243, 251, 250, 248, 241, 255, 254, 246, 249, 259, 252, 257, 256, 263, 262, 258, 253, 267, 266, 268, 260, 270, 265, 269, 271, 274, 276, 277, 275, 273, 272, 261, 278, 279, 281, 284, 282, 275, 283, 285, 264, 290, 292, 280, 286, 287, 288, 291, 296}

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

Returns: {1, 1, 0, 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, 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, 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 }
{-1, 0, 1, 2, 0, 3, 4, 6, 5, 8, 9, 7, 10, 12, 13, 14, 11, 15, 16, 17, 19, 20, 18, 22, 23, 21, 25, 26, 27, 24, 29, 28, 31, 32, 30, 33, 34, 35, 37, 38, 36, 40, 39, 41, 42, 43, 44, 46, 47, 48, 45, 50, 51, 52, 53, 49, 55, 54, 57, 58, 56, 59, 60, 61, 62, 64, 63, 66, 65, 68, 67, 69, 70, 72, 73, 74, 71, 76, 75, 77, 78, 79, 81, 80, 82, 83, 85, 84, 86, 88, 87, 89, 91, 90, 93, 92, 95, 96, 97, 94, 98, 99, 101, 100, 103, 104, 102, 106, 107, 105, 109, 108, 111, 112, 113, 114, 115, 116, 110, 117, 119, 118, 121, 122, 120, 124, 125, 126, 127, 128, 129, 130, 131, 123, 133, 134, 132, 136, 137, 138, 139, 135, 140, 141, 142, 143, 145, 144, 146, 148, 149, 147, 151, 150, 153, 152, 155, 154, 157, 158, 156, 160, 161, 162, 163, 159, 165, 164, 166, 168, 167, 169, 171, 172, 170, 174, 173, 175, 176, 177, 179, 180, 181, 182, 178, 183, 184, 185, 187, 186, 189, 190, 188, 191, 193, 194, 192, 195, 197, 198, 196, 199, 200, 201, 203, 202, 205, 204, 206, 208, 209, 210, 207, 212, 213, 211, 215, 214, 216, 217, 219, 218, 220, 222, 221, 224, 225, 226, 227, 228, 223, 229, 230, 232, 231, 233, 234, 236, 237, 238, 235, 239, 241, 240, 243, 242, 245, 246, 247, 244, 249, 248, 251, 252, 253, 250, 255, 256, 254, 258, 259, 257, 261, 260, 263, 264, 265, 266, 262, 268, 267, 270, 271, 272, 273, 274, 275, 276, 277, 269, 278, 280, 279, 281, 283, 284, 285, 282, 286, 287, 289, 290, 288, 291, 293, 292, 294, 296, 295, 297}

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

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

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

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

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

Returns: {1, 1, 1, 1, 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 }
{-1, 0, 0, 2, 3, 4, 5, 1, 6, 8, 8, 9, 10, 11, 12, 5, 7, 13, 16, 18, 19, 14, 15, 20, 16, 21, 23, 26, 3, 27, 28, 24, 25, 16, 33, 34, 30, 36, 17, 11, 37, 33, 31, 39, 40, 42, 43, 35, 47, 26, 29, 16, 46, 49, 2, 48, 55, 13, 57, 38, 22, 35, 59, 41, 52, 38, 61, 63, 45, 64, 67, 70, 53, 3, 50, 60, 62, 56, 22, 51, 65, 75, 71, 81, 77, 73, 85, 55, 69, 86, 89, 75, 88, 78, 44, 80, 68, 95, 84, 54, 96, 76, 49, 51, 93, 32, 74, 90, 67, 107, 94, 106, 99, 46, 82, 91, 77, 101, 69, 100, 92, 111, 108, 121, 63, 113, 112, 126, 123, 118, 116, 125, 117, 128, 72, 105, 110, 129, 115, 61, 83, 103, 66, 122, 135, 133, 139, 58, 142, 147, 119, 75, 131, 141, 145, 144, 79, 130, 134, 136, 153, 120, 104, 158, 98, 97, 156, 138, 162, 167, 127, 165, 40, 146, 163, 127, 125, 6, 145, 161, 143, 168, 102, 0, 157, 171, 154, 186, 30, 169, 132, 87, 44, 173, 164, 109, 169, 177, 18, 137, 47, 176, 166, 52, 151, 202, 179, 182, 205, 192, 195, 203, 2, 200, 170, 214, 176, 188, 213, 218, 149, 178, 167, 197, 194, 201, 39, 210, 225, 175, 219, 209, 38, 206, 29, 228, 212, 216, 236, 224, 231, 217, 211, 107, 160, 208, 140, 204, 239, 172, 240, 229, 235, 207, 152, 144, 244, 148, 193, 183, 252, 159, 238, 120, 234, 221, 71, 141, 160, 266, 242, 253, 263, 256, 233, 215, 272, 190, 243, 245, 20, 189, 230, 262, 241, 282, 285, 226, 222, 169, 276, 155, 31, 198, 274, 250, 290, 23, 196, 257}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1 }
{-1, 0, 0, 2, 3, 4, 1, 5, 6, 8, 9, 10, 7, 12, 13, 11, 14, 16, 17, 18, 15, 19, 20, 21, 23, 22, 25, 26, 24, 27, 28, 30, 31, 32, 33, 34, 29, 36, 35, 38, 37, 39, 41, 42, 40, 44, 43, 46, 47, 48, 49, 45, 51, 52, 50, 53, 55, 56, 57, 11, 59, 54, 58, 62, 61, 60, 64, 65, 67, 66, 69, 68, 71, 72, 63, 74, 75, 73, 77, 78, 70, 79, 81, 76, 82, 83, 85, 80, 86, 88, 87, 84, 89, 90, 93, 92, 95, 94, 97, 96, 91, 98, 99, 100, 103, 102, 101, 105, 104, 107, 100, 109, 108, 111, 112, 106, 115, 116, 110, 114, 117, 118, 121, 122, 123, 120, 113, 126, 119, 128, 129, 127, 124, 130, 131, 134, 125, 136, 137, 133, 132, 139, 141, 135, 140, 142, 125, 143, 138, 136, 148, 147, 146, 149, 150, 154, 155, 144, 153, 156, 159, 151, 158, 160, 145, 163, 162, 152, 165, 161, 164, 169, 167, 170, 173, 174, 168, 175, 171, 157, 176, 172, 179, 181, 180, 177, 182, 166, 178, 185, 188, 190, 28, 183, 192, 189, 193, 194, 195, 186, 191, 184, 198, 202, 201, 74, 200, 204, 205, 203, 209, 197, 208, 211, 196, 213, 210, 212, 207, 215, 206, 217, 187, 221, 223, 214, 220, 226, 219, 224, 228, 227, 199, 231, 222, 234, 230, 225, 55, 235, 238, 240, 239, 242, 229, 236, 245, 244, 216, 243, 232, 241, 249, 251, 246, 247, 252, 253, 233, 254, 259, 257, 258, 262, 260, 218, 261, 264, 255, 266, 250, 263, 256, 267, 270, 271, 269, 274, 265, 268, 279, 272, 278, 277, 282, 276, 237, 248, 287, 275, 281, 288, 280, 291, 273, 289, 290, 286, 292, 298}

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

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

{1, 0, 1}

Returns: {1, 1, 0 }
{-1, 0, 1, 2, 3, 4, 5, 6, 0, 8, 9, 7, 11, 10, 13, 14, 12, 16, 15, 18, 19, 20, 21, 17, 23, 24, 22, 26, 25, 27, 29, 28, 30, 32, 31, 33, 34, 36, 37, 35, 38, 40, 41, 42, 39, 43, 44, 45, 47, 46, 49, 50, 51, 48, 52, 53, 55, 56, 54, 57, 58, 60, 59, 61, 62, 64, 63, 65, 66, 67, 68, 70, 69, 71, 73, 72, 74, 75, 44, 78, 76, 77, 79, 80, 82, 81, 83, 84, 85, 88, 86, 87, 89, 91, 90, 94, 93, 95, 96, 98, 92, 99, 97, 102, 103, 104, 100, 106, 107, 101, 108, 105, 110, 112, 113, 111, 114, 115, 4, 109, 118, 117, 120, 122, 119, 116, 121, 126, 127, 125, 128, 124, 129, 123, 132, 133, 135, 131, 130, 136, 139, 138, 141, 142, 137, 140, 143, 146, 145, 134, 147, 150, 149, 148, 152, 153, 144, 154, 151, 158, 157, 159, 156, 155, 161, 164, 160, 141, 166, 167, 168, 170, 171, 165, 173, 162, 163, 176, 177, 169, 178, 174, 172, 179, 182, 181, 184, 175, 185, 188, 189, 88, 191, 192, 183, 193, 186, 187, 196, 180, 194, 200, 197, 190, 195, 204, 199, 198, 201, 202, 186, 206, 211, 208, 212, 205, 207, 203, 214, 216, 218, 213, 210, 215, 221, 220, 223, 225, 209, 217, 228, 230, 148, 232, 222, 219, 229, 233, 234, 224, 239, 227, 238, 226, 231, 237, 235, 243, 244, 246, 249, 241, 250, 251, 247, 254, 245, 242, 257, 248, 259, 260, 252, 240, 262, 236, 256, 265, 266, 255, 263, 269, 261, 268, 253, 274, 271, 270, 276, 273, 267, 272, 279, 281, 280, 275, 283, 258, 285, 286, 284, 278, 289, 291, 292, 290, 264, 277, 287, 282}

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

Returns: {1, 1, 1, 0, 0, 0, 0, 0, 1, 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, 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, 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 }
{-1, 0, 1, 0, 2, 3, 5, 4, 6, 8, 7, 10, 9, 12, 13, 11, 15, 14, 17, 18, 19, 20, 21, 16, 23, 24, 22, 25, 26, 27, 29, 30, 31, 32, 28, 33, 35, 34, 37, 38, 39, 40, 41, 42, 36, 44, 45, 46, 43, 48, 49, 47, 50, 51, 53, 52, 55, 54, 56, 57, 59, 60, 61, 62, 63, 64, 65, 58, 67, 66, 69, 68, 71, 70, 72, 73, 75, 76, 77, 74, 79, 78, 80, 82, 81, 83, 84, 86, 85, 88, 87, 90, 91, 92, 89, 94, 93, 95, 96, 97, 99, 100, 98, 101, 103, 104, 102, 105, 106, 107, 109, 108, 110, 111, 112, 113, 115, 114, 117, 118, 116, 119, 121, 120, 122, 123, 124, 125, 126, 128, 127, 129, 131, 130, 133, 132, 135, 134, 136, 138, 139, 137, 141, 142, 140, 144, 145, 146, 147, 148, 95, 143, 150, 151, 153, 149, 154, 152, 155, 156, 158, 40, 160, 161, 159, 164, 157, 163, 165, 167, 168, 170, 169, 171, 172, 173, 162, 175, 174, 166, 176, 177, 181, 26, 179, 180, 185, 178, 182, 188, 186, 184, 189, 191, 187, 190, 192, 196, 161, 183, 193, 198, 195, 200, 199, 204, 201, 205, 194, 202, 208, 203, 209, 207, 197, 210, 206, 216, 214, 215, 218, 220, 212, 213, 219, 221, 225, 187, 226, 217, 223, 230, 227, 229, 231, 228, 233, 211, 234, 237, 224, 240, 222, 236, 242, 239, 244, 232, 247, 245, 246, 235, 249, 241, 252, 238, 250}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 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, 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, 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 }
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Returns: {1, 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, 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, 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 }
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Returns: {1, 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, 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 }
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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 }
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Returns: {1, 1, 1, 1, 0, 0, 0, 0, 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, 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, 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 }
{-1, 0, 0, 2, 3, 4, 1, 0, 7, 8, 6, 6, 2, 12, 11, 0, 14, 9, 6, 14, 10, 14, 5, 22, 9, 24, 25, 24, 26, 14, 20, 13, 7, 19, 31, 28, 23, 28, 12, 36, 9, 27, 2, 29, 1, 4, 45, 42, 35, 29, 32, 24, 46, 34, 30, 50, 54, 55, 33, 0, 40, 41, 38, 57, 30, 52, 47, 43, 62, 3, 59, 51, 68, 71, 53, 38, 5, 16, 52, 39, 75, 53, 2, 22, 83, 82, 18, 67, 63, 71, 30, 57, 19, 77, 56, 90, 58, 9, 84, 1, 44, 49, 91, 64, 100, 86, 80, 101, 69, 63, 95, 74, 39, 104, 21, 94, 70, 48, 25, 78, 20, 98, 77, 122, 66, 88, 60, 96, 105, 13, 118, 92, 54, 12, 110, 9, 95, 89, 85, 99, 97, 15, 41, 127, 56, 99, 137, 133, 112, 62, 87, 122, 54, 23, 64, 117, 107, 5, 119, 76, 113, 121, 126, 68, 142, 135, 123, 81, 156, 38, 146, 73, 164, 129, 168, 108, 2, 138, 144, 103, 141, 153, 39, 54, 89, 173, 155, 179, 183, 59, 152, 104, 77, 186, 111, 102, 162, 169, 37, 79, 176, 158, 69, 128, 147, 18, 115, 61, 189, 166, 190, 175, 208, 180, 79, 196, 150, 201, 198, 203, 157, 92, 211, 75, 170, 97, 93, 3, 131, 206, 74, 225, 174, 35, 189, 20, 185, 145, 233, 125, 213, 136, 29, 227, 181, 229, 163, 211, 205, 240, 34, 172, 251, 83, 252, 207, 102, 120, 192, 220, 81}

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

{1, 0}

Returns: {1, 1 }
{-1, 0, 0, 2, 3, 1, 4, 6, 7, 8, 9, 5, 10, 11, 12, 13, 15, 14, 17, 18, 19, 20, 21, 16, 23, 24, 25, 22, 27, 26, 28, 30, 29, 31, 32, 33, 34, 36, 37, 35, 39, 40, 38, 41, 42, 44, 45, 46, 47, 48, 43, 50, 51, 52, 53, 54, 55, 56, 57, 49, 59, 58, 61, 60, 62, 64, 65, 66, 63, 67, 69, 68, 70, 72, 73, 74, 71, 76, 77, 78, 79, 75, 80, 82, 81, 84, 85, 86, 83, 87, 89, 90, 88, 92, 91, 94, 93, 95, 97, 98, 96, 100, 101, 102, 99, 104, 103, 106, 105, 108, 109, 110, 107, 112, 113, 111, 114, 116, 115, 118, 119, 117, 121, 120, 122, 123, 124, 125, 127, 128, 129, 130, 126, 132, 131, 133, 135, 134, 137, 136, 139, 140, 141, 138, 142, 143, 145, 146, 144, 147, 148, 149, 151, 34, 153, 154, 155, 152, 150, 158, 159, 157, 161, 156, 160, 162, 164, 163, 165, 167, 166, 168, 171, 169, 172, 170, 174, 173, 177, 175, 176, 180, 178, 179, 181, 184, 182, 183, 185, 186, 187, 189, 191, 188, 193, 192, 194, 195, 190, 197, 196, 198, 18, 200, 201, 202, 199, 203, 204, 205, 209, 207, 211, 212, 208, 214, 210, 216, 215, 213, 217, 206, 218, 222, 220, 223, 219, 221, 225, 228, 226, 224, 231, 230, 233, 227, 234, 232, 235, 236, 237, 238, 239, 241, 242, 243, 244, 246, 247, 245, 248, 250, 249, 240, 253, 254, 251, 229, 256, 257, 252, 259, 258, 261, 260, 264, 262, 238, 265, 266, 269, 268, 255, 271, 272, 267, 270, 275, 274, 263, 279, 280, 276, 273, 283, 282, 284, 277}

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

Returns: {1, 1, 1, 1, 0, 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, 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, 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 }
{-1, 0, 0, 1, 3, 2, 4, 5, 6, 8, 7, 10, 9, 11, 13, 12, 5, 16, 17, 14, 18, 20, 15, 21, 19, 22, 21, 25, 23, 28, 24, 26, 27, 29, 30, 34, 33, 31, 37, 35, 39, 32, 41, 42, 43, 40, 44, 43, 47, 45, 48, 46, 44, 52, 49, 50, 36, 38, 54, 57, 58, 57, 31, 55, 63, 61, 51, 62, 59, 66, 33, 68, 64, 69, 67, 70, 56, 60, 77, 73, 72, 65, 76, 74, 53, 78, 81, 83, 85, 41, 84, 80, 91, 82, 86, 92, 87, 95, 89, 88, 99, 79, 71, 9, 103, 93, 100, 98, 91, 96, 109, 1, 104, 111, 112, 114, 45}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0 }
{-1, 0, 0, 1, 2, 4, 5, 6, 3, 8, 7, 9, 2, 11, 12, 13, 4, 10, 14, 16, 18, 15, 20, 8, 17, 19, 2, 23, 27, 24, 22, 25, 29, 32, 21, 27, 35, 12, 30, 33, 37, 40, 36, 3, 31, 28, 41, 41, 46, 45, 47, 44, 10, 34, 49, 48, 38, 54, 26, 58, 50, 51, 56, 52, 59, 50, 29, 10, 23, 55, 19, 68, 57, 62, 61, 29, 70, 67, 76, 42, 66, 74, 64, 65, 39, 40, 83, 63, 82, 73, 61, 14, 91, 88, 87, 94, 69, 89, 96, 13, 93, 75, 84, 34, 78, 53, 71, 90, 80, 106, 100, 101, 103, 108, 60, 72, 112, 92, 65, 117, 85, 114, 120, 116, 111, 98, 77, 113, 104, 81, 31, 89, 105, 125, 133, 87, 127, 107, 97, 129, 137, 93, 79, 95, 121, 11, 109, 99, 141, 119, 132, 146, 126, 43, 124, 74, 150, 102, 130, 136, 3, 126, 128, 149, 143, 145, 162, 21, 86, 142, 148, 144, 37, 165, 138, 156, 161, 159, 122, 118, 154, 180, 140, 155, 19, 163, 173, 171, 182, 131, 45, 184, 123, 164, 174, 160, 46, 157, 179, 168, 169, 178, 181, 136, 189, 158, 153, 186, 183, 199, 152, 196, 42, 204, 187, 135, 191, 193, 212, 166, 147, 201, 203, 188, 211, 77, 114, 223, 227, 194, 195, 221, 205, 175, 233, 188, 202, 134, 236, 102, 210, 124, 198, 151, 139, 167, 240, 245, 241, 37, 214, 212, 216, 251, 244, 195, 226, 17, 229, 194, 165, 226, 170, 176, 209, 172, 264, 175, 246, 253, 234, 259, 207, 268, 222, 273, 83, 269, 263, 185, 242, 257, 281, 260, 190, 217, 267, 115, 282, 192, 283, 238, 231, 247, 232, 290, 293, 289, 279, 289}

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

Returns: {1, 1, 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, 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, 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 }
{-1, 0, 0, 2, 1, 4, 3, 6, 7, 5, 8, 10, 9, 11, 12, 13, 14, 16, 15, 17, 19, 20, 18, 22, 21, 23, 25, 24, 27, 26, 29, 30, 28, 31, 33, 34, 35, 36, 37, 38, 39, 32, 41, 40, 42, 43, 45, 46, 44, 47, 48, 49, 50, 51, 53, 52, 55, 56, 54, 58, 57, 60, 61, 62, 59, 64, 65, 66, 63, 68, 67, 70, 71, 72, 73, 69, 75, 74, 77, 76, 78, 79, 81, 80, 83, 84, 85, 82, 87, 88, 89, 86, 90, 91, 92, 93, 95, 94, 96, 97, 99, 98, 101, 102, 103, 104, 100, 106, 107, 105, 109, 108, 110, 111, 112, 114, 115, 113, 116, 117, 118, 119, 121, 120, 123, 124, 122, 126, 127, 128, 129, 130, 125, 132, 133, 134, 131, 135, 136, 138, 137, 139, 140, 142, 141, 144, 145, 146, 147, 143, 149, 150, 151, 152, 148, 153, 154, 155, 156, 158, 159, 160, 157, 162, 163, 164, 165, 161, 167, 168, 169, 170, 166, 172, 173, 171, 175, 176, 174, 178, 179, 177, 181, 180, 183, 182, 184, 185, 187, 188, 189, 190, 191, 192, 186, 194, 195, 193, 196, 198, 197, 199, 200, 202, 201, 203, 205, 204, 207, 206, 209, 208, 210, 212, 211, 213, 214, 215, 216, 217, 218, 220, 221, 219, 223, 222, 224, 225, 226, 228, 227, 230, 229, 232, 233, 234, 235, 231, 236, 238, 237, 239, 240, 241, 243, 242, 245, 244, 247, 246, 249, 248, 250, 251, 252, 253, 255, 256, 257, 254, 259, 260, 261, 258, 263, 264, 265, 262, 266, 267, 268, 270, 269, 272, 271, 273, 274, 276, 277, 275, 278, 279, 280, 282, 283, 284, 285, 281, 286, 288, 289, 287, 290, 292, 293, 294, 291, 296, 297, 295}

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

Returns: {1, 0, 1, 1, 0, 0, 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, 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, 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 }
{-1, 0, 1, 1, 3, 4, 3, 1, 7, 1, 7, 7, 11, 3, 5, 6, 10, 7, 4, 17, 9, 2, 0, 9, 6, 22, 24, 1, 18, 6, 2, 25, 29, 15, 25, 11, 16, 10, 33, 30, 31, 34, 8, 8, 40, 32, 20, 24, 24, 39, 46, 41, 15, 43, 35, 44, 26, 53, 8, 25, 59, 0, 7, 43, 44, 46, 49, 50, 62, 17, 65, 57, 39, 3, 60, 20, 72, 71, 73, 63, 57, 20, 21, 19, 23, 79, 47, 1, 13, 66, 51, 60, 71, 40, 36, 76, 32, 37, 54, 84, 55, 70, 43, 6, 90, 74, 62, 36, 93, 15, 94, 64, 101, 88, 83, 1, 19, 88, 62, 89, 67, 43, 27, 115, 82, 3, 123, 79, 66, 106, 110, 25, 131, 73, 68, 89, 133, 85, 38, 94, 104, 28, 140, 90, 83, 84, 75, 36, 112, 33, 84, 129, 26, 7, 145, 152, 102, 83, 1, 97, 50, 131, 81, 36, 149, 29, 86, 111, 151, 25, 19, 136, 56, 92, 141, 24, 117, 81, 26, 77, 92, 163, 114, 144, 165, 173, 44, 137, 118, 171, 163, 185, 31, 162, 152, 163, 61, 25, 141, 14, 1, 18, 146, 121, 33, 91, 42, 179, 176, 136, 121, 210}

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

Returns: {1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 2, 3, 4, 5, 2, 7, 9, 10, 8, 12, 11, 2, 6, 13, 17, 15, 14, 10, 19, 18, 16, 20, 21, 23, 18, 27, 29, 28, 22, 32, 24, 30, 25, 35, 26, 7, 36, 33, 34, 23, 31, 44, 43, 41, 21, 39, 46, 3, 51, 38, 11, 45, 51, 48, 56, 47, 49, 54, 61, 40, 52, 59, 50, 57, 50, 63, 53, 19, 64, 60, 69, 26, 62, 46, 42, 58, 37, 70, 76, 66, 72, 55, 74, 71, 67, 81, 15, 65, 84, 54, 91, 93, 87, 80, 91, 90, 98, 11, 89, 79, 68, 100, 50, 88, 6, 31, 83, 109, 77, 108, 96, 105, 97, 101, 82, 116, 102, 78, 120, 114, 107, 106, 103, 73, 111, 95, 124, 122, 115, 33, 119, 118, 135, 102, 129, 94, 132, 136, 120, 133, 47, 130, 110, 16, 143, 145, 144, 109, 70, 92, 86, 152, 134, 142, 3, 125, 157, 153, 150, 162, 148, 123, 104, 112, 166, 55, 131, 85, 163, 117, 140, 156, 168, 165, 170, 151, 172, 138, 137, 14, 171, 128, 174, 160, 178, 155, 167, 150, 126, 172, 177, 190, 147, 185, 75, 187, 192, 127, 181, 188, 153, 182, 139, 158, 204, 113, 189, 161, 186, 121, 180, 175, 173, 206, 198, 218, 113, 199, 193, 183, 11, 195, 194, 213, 184, 225, 99, 196, 222, 24, 191, 3, 92, 210, 141, 232, 208, 236, 169, 176, 240, 105, 241, 207, 235, 229, 242, 211, 233, 89, 227, 5, 237, 209, 150, 121, 152, 224, 228, 100, 212, 249, 196, 260, 220, 149, 214, 263, 231, 197, 257, 234, 272, 162, 238, 267, 215, 278, 256, 270, 102, 178, 26, 264, 247, 276, 217, 33, 277, 252, 203, 200, 268, 251, 254, 226}

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Returns: {1, 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, 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, 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 }
{-1, 0, 0, 1, 2, 4, 2, 5, 6, 7, 8, 8, 0, 11, 7, 13, 15, 13, 17, 9, 12, 18, 14, 20, 6, 15, 4, 26, 4, 10, 10, 3, 16, 32, 27, 20, 28, 34, 29, 0, 19, 22, 24, 23, 42, 37, 31, 9, 7, 26, 45, 34, 47, 33, 48, 38, 12, 36, 30, 9, 31, 53, 52, 23, 50, 12, 64, 12, 59, 0, 43, 49, 69, 45, 2, 4, 68, 25, 75, 78, 74, 29, 21, 18, 46, 75, 14, 42, 76, 77, 71, 44, 88, 41, 78, 79, 81, 48, 43, 85, 86, 68, 23, 96, 61, 101, 22, 80, 102, 68, 91, 57, 91, 108, 55, 106, 43, 81, 59, 87, 107, 87, 43, 103, 82, 47, 15, 44, 122, 99, 38, 97, 58, 21, 66, 62, 131, 54, 127, 45, 129, 93, 92, 23, 108, 143, 133, 140, 52, 40, 149, 67, 120, 5, 125, 60, 72, 137, 89, 79, 144, 147, 105, 78, 136, 73, 161, 47, 152, 97, 106, 100, 128, 40, 27, 172, 167, 52, 111, 153, 50, 148, 71, 171, 81, 59, 146, 181, 187, 173, 183, 174, 146, 109, 88, 28, 61, 170, 184, 113, 101, 158, 167, 90, 118, 55, 182, 201, 18, 136, 149, 134, 211, 203, 35, 162, 209, 123, 115, 189, 118, 155, 220, 62, 164, 119, 113, 225, 224, 196, 145, 110, 62, 135, 141, 170, 104, 95, 79, 107, 97, 202, 190, 202, 203, 207, 126, 16, 239, 188, 86, 173, 221, 247, 243, 185, 138, 242, 251, 13, 143, 220, 90, 62, 250, 234, 213, 178, 160, 267, 205, 207, 97, 227, 6, 102, 166, 33, 228, 216, 98, 16, 262, 156, 213, 127, 270, 157, 126, 257, 93, 154, 251, 144, 255, 123, 275, 280, 291, 186}

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

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 0, 1, 2, 3, 4, 6, 5, 8, 7, 9, 11, 10, 13, 14, 15, 12, 17, 16, 19, 20, 18, 22, 21, 23, 24, 26, 27, 25, 29, 30, 28, 32, 33, 31, 34, 35, 37, 36, 39, 38, 40, 41, 43, 44, 42, 45, 47, 46, 49, 50, 51, 48, 53, 52, 55, 54, 56, 58, 59, 57, 60, 61, 62, 64, 65, 66, 63, 67, 68, 70, 69, 71, 73, 74, 72, 76, 75, 78, 79, 80, 81, 82, 83, 77, 84, 86, 87, 85, 88, 90, 89, 91, 92, 93, 95, 94, 96, 97, 99, 100, 101, 98, 103, 104, 102, 106, 107, 105, 108, 109, 110, 112, 113, 114, 115, 116, 111, 117, 118, 120, 119, 121, 123, 124, 125, 122, 126, 128, 129, 130, 127, 131, 132, 134, 133, 135, 137, 136, 139, 138, 140, 141, 142, 144, 143, 145, 147, 148, 146, 150, 151, 152, 153, 149, 154, 155, 157, 158, 156, 160, 161, 162, 159, 163, 164, 166, 167, 168, 169, 165, 170, 171, 172, 174, 173, 175, 177, 176, 178, 180, 181, 182, 183, 179, 185, 186, 187, 184, 189, 190, 191, 188, 193, 192, 195, 196, 197, 198, 194, 199, 200, 202, 201, 203, 204, 206, 205, 208, 209, 207, 211, 212, 210, 214, 213, 216, 217, 215, 219, 220, 218, 221, 222, 223, 224, 225, 226, 228, 229, 227, 231, 232, 233, 234, 230, 236, 237, 238, 235, 239, 241, 242, 243, 240, 245, 244, 247, 248, 246, 250, 251, 249, 252, 254, 255, 256, 253, 258, 259, 257, 260, 262, 261, 264, 263, 265, 266, 267, 269, 270, 268, 272, 271, 273, 275, 276, 274, 278, 279, 280, 281, 277, 282, 284, 283, 285, 286, 287, 289, 288, 291, 292, 290, 294, 293, 296, 295, 297}

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

Returns: {1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 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, 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, 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 }
{-1, 0, 1, 0, 3, 2, 5, 4, 6, 7, 8, 9, 10, 12, 13, 11, 15, 14, 17, 18, 19, 16, 20, 22, 21, 24, 23, 26, 25, 27, 29, 30, 31, 28, 33, 34, 32, 36, 37, 38, 35, 40, 39, 41, 43, 42, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 46, 60, 61, 62, 63, 65, 66, 64, 68, 67, 69, 71, 72, 70, 74, 73, 76, 77, 78, 79, 75, 81, 82, 83, 84, 80, 86, 85, 87, 88, 89, 91, 92, 93, 90, 94, 96, 97, 95, 98, 99, 101, 100, 103, 104, 102, 105, 106, 108, 107, 110, 111, 109, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 124, 123, 125, 126, 127, 55}

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

Returns: {1, 1, 1, 1, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 2, 3, 5, 6, 7, 4, 8, 10, 11, 9, 13, 14, 15, 16, 17, 18, 19, 20, 12, 21, 23, 24, 22, 25, 27, 28, 26, 30, 31, 32, 33, 29, 35, 36, 30, 38, 34, 37, 41, 39, 43, 44, 45, 40, 42, 47, 46, 50, 51, 48, 53, 54, 21, 55, 56, 49, 52, 57, 59, 58, 62, 63, 65, 14, 64, 66, 69, 60, 68, 71, 61, 67, 70, 75, 73, 76, 72, 74, 80, 77, 83, 78, 79, 84, 85, 82, 89, 90, 91, 81, 92, 94, 95, 88, 93, 86, 87, 96, 100, 98, 103, 101, 102, 99, 107, 97, 108, 104, 109, 105, 113, 112, 114, 106, 110, 117, 116, 120, 37, 111, 121, 119, 115, 126, 123, 128, 125, 127, 129, 130, 124, 134, 118, 136, 135, 122, 133, 132, 140, 141, 138, 142, 131, 144, 145, 139, 149, 146, 151, 143, 147, 150, 154, 137, 157, 158, 148, 156, 153, 155, 160, 152, 159, 163, 161, 162, 165, 164, 167, 166, 170, 174, 173, 172, 171, 177, 179, 180, 168, 178, 58, 184, 185, 169, 176, 182, 186, 188, 183, 192, 191, 187, 193, 190, 195, 16, 181, 196, 175, 197, 194, 198, 85, 205, 203, 200, 202, 209, 201, 210, 211, 189, 207, 216, 208, 199, 217, 219, 204, 212, 213, 206, 224, 223, 225, 220, 226, 215, 231, 213, 232, 221, 235, 234, 230, 233, 236, 237, 214, 229, 240, 242, 228, 222, 239, 227, 244, 245, 218, 42, 252, 248, 250, 247, 241, 238, 255, 254, 261, 253, 251, 263, 265, 264, 262, 257, 259, 267, 243, 249, 270, 266, 272, 48, 271, 256, 268, 274, 276, 282, 278, 283, 135, 258, 284, 279, 273, 277, 275, 289, 285, 107, 294, 295, 296, 298}

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

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

{1, 0}

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

{1, 1}

Returns: {1, 0 }
{-1, 0, 0, 2, 1, 4, 3, 6, 5, 7, 9, 8, 11, 10, 12, 14, 13, 15, 17, 16, 19, 20, 21, 18, 22, 24, 25, 23, 27, 26, 29, 30, 28, 31, 33, 32, 34, 36, 35, 37, 38, 40, 39, 42, 43, 44, 41, 46, 47, 48, 45, 50, 51, 49, 52, 53, 55, 54, 56, 57, 59, 58, 61, 62, 63, 64, 65, 60, 66, 67, 69, 70, 68, 72, 73, 74, 75, 76, 77, 71, 79, 80, 81, 78, 83, 84, 82, 86, 85, 87, 88, 90, 91, 89, 93, 92, 95, 94, 97, 96, 98, 99, 101, 102, 100, 104, 103, 105, 106, 108, 107, 110, 111, 112, 113, 114, 115, 109, 116, 117, 119, 120, 121, 118, 122, 124, 123, 125, 127, 126, 129, 130, 128, 131, 133, 132, 134, 136, 135, 138, 137, 139, 140, 142, 141, 144, 145, 146, 147, 148, 143, 149, 151, 152, 153, 150, 155, 156, 154, 158, 159, 160, 161, 162, 157, 164, 163, 166, 167, 165, 169, 170, 171, 168, 173, 172, 175, 174, 177, 176, 178, 179, 180, 182, 181, 183, 184, 186, 187, 188, 189, 185, 191, 192, 193, 190, 194, 195, 197, 198, 199, 200, 201, 202, 203, 204, 196, 206, 205, 208, 207, 210, 211, 212, 209, 213, 215, 214, 216, 217, 219, 220, 218, 221, 223, 222, 224, 226, 227, 225, 229, 228, 231, 232, 230, 234, 235, 236, 237, 238, 233, 240, 239, 242, 243, 241, 245, 246, 247, 244, 249, 248, 250, 251, 252, 254, 255, 253, 256, 258, 257, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 270, 271, 272, 273, 274, 275, 269, 277, 278, 276, 279, 281, 282, 280, 284, 285, 286, 283, 288, 287, 290, 289, 292, 291, 293, 295, 294, 297, 296}

{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, 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, 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: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 2, 3, 0, 5, 6, 7, 4, 8, 10, 9, 12, 11, 13, 14, 16, 15, 18, 17, 19, 20, 22, 23, 24, 21, 25, 26, 28, 27, 29, 30, 31, 33, 34, 35, 36, 32, 38, 37, 40, 39, 41, 43, 42, 44, 45, 46, 47, 48, 50, 51, 49, 53, 52, 54, 56, 57, 58, 55, 60, 61, 59, 62, 63, 65, 66, 67, 68, 64, 69, 71, 72, 70, 73, 74, 75, 77, 76, 79, 80, 78, 81, 83, 84, 82, 85, 87, 88, 89, 90, 86, 91, 93, 94, 92, 95, 97, 96, 98, 100, 101, 99, 103, 104, 105, 102, 106, 107, 109, 110, 108, 111, 113, 114, 112, 115, 117, 116, 118, 119, 121, 122, 120, 124, 125, 126, 127, 123, 128, 130, 129, 131, 132, 133, 134, 135, 136, 138, 137, 140, 139, 141, 143, 144, 142, 146, 147, 148, 149, 145, 150, 151, 152, 154, 153, 156, 157, 158, 159, 155, 161, 162, 160, 163, 165, 164, 167, 166, 168, 169, 171, 170, 173, 174, 172, 175, 176, 178, 177, 180, 179, 181, 182, 184, 183, 185, 186, 188, 187, 190, 189, 191, 192, 193, 195, 196, 197, 198, 199, 194, 200, 202, 203, 204, 201, 206, 207, 205, 209, 208, 210, 211, 212, 213, 214, 215, 217, 216, 218, 219, 220, 222, 221, 224, 223, 226, 227, 225, 229, 228, 231, 230, 233, 234, 235, 236, 232, 238, 237, 239, 241, 242, 240, 243, 244, 245, 247, 246, 248, 249, 250, 252, 253, 254, 251, 256, 257, 258, 255, 259, 261, 262, 263, 264, 260, 265, 266, 268, 269, 270, 267, 272, 273, 271, 274, 275, 276, 277, 279, 280, 278, 281, 282, 284, 283, 285, 287, 288, 286, 290, 291, 292, 289, 293, 295, 294, 297, 296}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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 }
{-1, 0, 1, 2, 0, 4, 5, 3, 7, 6, 9, 10, 8, 12, 11, 13, 15, 14, 16, 18, 17, 20, 21, 19, 22, 23, 25, 26, 27, 24, 28, 30, 29, 31, 33, 34, 32, 35, 36, 38, 37, 40, 39, 42, 41, 44, 43, 45, 47, 48, 49, 46, 51, 50, 53, 52, 55, 54, 57, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 68, 70, 72, 73, 74, 75, 71, 77, 76, 78, 80, 79, 81, 83, 84, 85, 82, 87, 88, 89, 86, 90, 92, 93, 91, 95, 96, 94, 97, 98, 99, 100, 102, 103, 104, 101, 106, 105, 107, 108, 109, 111, 112, 113, 110, 115, 116, 117, 114, 119, 120, 121, 122, 123, 124, 118, 126, 127, 125, 129, 130, 128, 131, 132, 134, 135, 136, 133, 137, 139, 138, 141, 142, 140, 143, 145, 146, 147, 148, 149, 144, 150, 151, 153, 152, 154, 156, 157, 155, 159, 160, 161, 158, 163, 164, 162, 166, 167, 165, 168, 170, 171, 172, 169, 173, 174, 176, 175, 178, 179, 177, 180, 181, 183, 184, 182, 186, 185, 188, 189, 187, 191, 192, 190, 194, 193, 195, 196, 197, 199, 198, 201, 202, 200, 204, 203, 205, 206, 208, 207, 210, 209, 212, 213, 214, 211, 215, 217, 216, 218, 220, 221, 222, 219, 223, 224, 225, 226, 228, 227, 230, 229, 231, 232, 234, 233, 236, 237, 238, 239, 240, 235, 242, 241, 244, 245, 246, 243, 247, 248, 249, 250, 252, 253, 251, 255, 256, 257, 254, 259, 260, 258, 262, 263, 261, 265, 266, 264, 268, 267, 269, 271, 270, 272, 273, 274, 275, 276, 278, 277, 280, 279, 281, 283, 282, 284, 285, 286, 288, 289, 290, 287, 291, 292, 294, 293, 295, 297, 296}

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

Returns: {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, 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, 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 }
{-1, 0, 1, 0, 0, 4, 5, 3, 5, 3, 5, 4, 10, 10, 1, 6, 4, 9, 12, 12, 15, 11, 11, 13, 6, 13, 15, 18, 12, 22, 18, 5, 27, 29, 22, 7, 1, 26, 11, 5, 6, 38, 38, 32, 23, 11, 14, 24, 17, 48, 5, 37, 10, 40, 35, 15, 37, 21, 30, 6, 51, 48, 47, 61, 8, 14, 5, 17, 22, 5, 43, 6, 44, 71, 56, 39, 6, 68, 59, 45, 41, 18, 34, 14, 67, 40, 10, 53, 5, 85, 73, 60, 91, 87, 89, 86, 52, 22, 78, 82, 59, 43, 66, 1, 79, 12, 36, 74, 8, 9, 22, 62, 24, 50, 25, 104, 82, 106, 46, 9, 102, 66, 37, 57, 65, 121, 70, 26, 71, 65, 107, 71, 16, 6, 92, 39, 88, 28, 101, 134, 60, 23, 49, 112, 16, 119, 75, 113, 129, 75, 107, 113, 45, 25, 11, 90, 42, 105, 20, 158, 15, 53, 37, 149, 44, 134, 12, 109, 33, 144, 80, 109, 31, 46, 130, 96, 155, 48, 93, 48, 140, 106, 51, 111, 0, 182, 16, 139, 81, 174, 172, 148, 66, 54, 178, 89, 131, 63, 97, 119, 171, 104, 146, 11, 90, 0, 95, 178, 153, 87, 56, 87, 106, 102, 2, 89, 10, 73, 159, 143, 124, 161, 128, 141, 17, 117, 73, 170, 10, 142, 129, 218, 67, 11, 103, 21, 77, 56, 167, 174, 207, 92, 219, 165, 103, 46, 142, 58, 42, 113, 67, 57, 76, 220, 159, 25, 80, 4, 211, 252, 236, 178, 165, 78, 186, 207, 51, 6, 219, 208, 111, 77, 93, 264, 213, 145, 183, 259, 27, 103, 56, 279, 52, 248, 261, 30, 8, 89, 242, 181, 210, 32, 188, 74, 173, 5, 50, 85, 282, 157}

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Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 0, 0, 3, 2, 5, 6, 5, 1, 5, 9, 0, 9, 11, 11, 10, 1, 8, 8, 19, 2, 11, 21, 3, 17, 25, 21, 21, 11, 29, 0, 0, 24, 22, 19, 13, 13, 21, 1, 21, 19, 40, 5, 30, 42, 21, 11, 40, 14, 1, 39, 40, 9, 37, 51, 49, 40, 24, 24, 41, 6, 36, 20, 22, 59, 52, 8, 34, 24, 27, 31, 13, 12, 11, 6, 41, 35, 73, 42, 13, 2, 70, 54, 43, 38, 53, 73, 0, 88, 52, 31, 39, 2, 44, 78, 78, 21, 76, 61, 23, 13, 12, 9, 100, 24, 86, 83, 73, 9, 95, 77, 66, 61, 53, 28, 97, 89, 83, 48, 59, 19, 57, 63, 10, 70, 33, 7, 93, 59, 103, 19, 59, 12, 71, 42, 134, 131, 8, 25, 92, 22, 86, 113, 88, 130, 125, 101, 21, 34, 59, 71, 19, 15, 57, 27, 78, 6, 35, 14, 20, 152, 154, 155, 160, 160, 83, 64, 35, 73, 47, 24, 90, 116, 2, 75, 114, 30, 116, 103, 10, 112, 74, 96, 123, 9, 150, 11, 186, 88, 82, 167, 175, 91, 146, 178, 20, 2, 190, 72, 56, 166, 163, 76, 101, 40, 131, 186, 155, 1, 209, 184, 55, 174, 54, 12, 175, 76, 192, 59, 212, 3, 33, 8, 174, 173, 81, 8, 115, 16, 34, 32, 110, 176, 4, 68, 143, 74, 124, 14, 25, 92, 9, 238, 225, 160, 99, 88, 41, 190, 79, 85, 108, 251, 34, 96, 90, 89, 111, 223, 259, 202, 183, 80, 212, 5, 223, 80, 221, 137, 214, 131, 101, 165, 49, 191, 173, 68, 75, 99, 100, 141, 178, 15, 67, 175, 198, 74, 176, 185, 217, 157, 172, 257, 94, 1, 27, 292, 134, 177}

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

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 0, 1, 4, 1, 1, 7, 7, 1, 4, 8, 6, 7, 12, 0, 14, 3, 11, 14, 15, 16, 21, 23, 5, 17, 5, 14, 7, 2, 24, 15, 29, 7, 32, 16, 7, 35, 21, 18, 1, 36, 4, 8, 37, 35, 24, 37, 9, 24, 31, 3, 0, 16, 13, 37, 13, 54, 41, 32, 41, 58, 38, 0, 29, 12, 26, 11, 48, 14, 60, 52, 66, 20, 20, 44, 43, 64, 31, 50, 41, 20, 41, 18, 47, 65, 56, 17, 43, 8, 38, 30, 85, 53, 21, 12, 59, 66, 9, 6, 22, 30, 71, 56, 0, 2, 73, 36, 27, 74, 85, 79, 44, 13, 32, 39, 109, 53, 17, 109, 105, 104, 115, 62, 6, 100, 98, 96, 70, 11, 16, 8, 59, 74, 104, 52, 7, 48, 46, 6, 65, 98, 36, 115, 90, 116, 96, 16, 102, 129, 121, 53, 119, 93, 151, 93, 32, 65, 69, 37, 145, 105, 83, 133, 136, 109, 99, 34, 134, 124, 156, 127, 25, 130, 145, 11, 98, 77, 5, 69, 84, 75, 68, 152, 157, 66, 31, 176, 3, 136, 13, 25, 177, 169, 187, 37, 180, 124, 100, 174, 67, 1, 182, 134, 109, 76, 181, 207, 173, 190, 154, 18, 211, 28, 87, 26, 45, 165, 139, 183, 36, 172, 175, 32, 149, 116, 4, 198, 58, 14, 85, 89, 34, 117, 23, 180, 134, 41, 31, 236, 221, 125, 55, 23, 198, 157, 82, 1, 31, 224, 87, 139, 118, 63, 153, 107, 212, 213, 190, 158, 257, 18, 70, 13, 240, 61, 39, 121, 160, 128, 26, 115, 250, 198, 171, 9, 263, 263, 47, 93, 239, 179, 247, 70, 157, 261, 152, 44, 58, 112, 245, 142, 187, 138, 24, 235, 35, 195, 52}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 0, 0, 0, 0, 3, 4, 3, 6, 3, 10, 11, 12, 12, 0, 14, 15, 16, 13, 8, 15, 3, 1, 22, 2, 5, 10, 10, 27, 14, 3, 8, 15, 26, 31, 6, 18, 1, 28, 25, 14, 26, 2, 43, 15, 36, 43, 24, 36, 40, 18, 4, 21, 53, 22, 51, 47, 50, 26, 49, 36, 16, 37, 43, 25, 62, 43, 46, 11, 22, 58, 3, 50, 15, 45, 7, 72, 6, 21, 28, 1, 61, 18, 42, 77, 27, 32, 23, 88, 45, 66, 51, 7, 46, 52, 59, 22, 76, 54, 2, 96, 38, 70, 8, 59, 36, 14, 20, 85, 6, 65, 91, 4, 13, 88, 115, 78, 37, 62, 74, 25, 75, 77, 72, 105, 6, 94, 126, 94, 108, 106, 93, 125, 82, 57, 48, 82, 90, 69, 23, 129, 126, 3, 45, 134, 36, 99, 4, 28, 76, 67, 128, 69, 8, 54, 138, 133, 67, 7, 44, 136, 141, 107, 48, 77, 144, 10, 154, 124, 169, 52, 78, 97, 35, 24, 17, 119, 57, 46, 92, 72, 110, 162, 139, 47, 139, 126, 150, 182, 131, 74, 106, 164, 77, 24, 75, 165, 83, 1, 166, 141, 99, 55, 178, 86, 46, 113, 40, 100, 59, 92, 104, 109, 90, 71, 170, 1, 52, 71, 162, 188, 68, 128, 19, 169, 47, 31, 43, 49, 180, 182, 80, 156, 137, 40, 41, 219, 163, 35, 211, 91, 162, 225, 46, 8, 162, 216, 243, 62, 86, 182, 173, 100, 126, 250, 113, 18, 137, 89, 161, 251, 50, 56, 209, 105, 103, 248, 48, 60, 265, 216, 207, 134, 17, 119, 44, 9, 86, 18, 129, 233, 0, 205, 233, 122, 32, 116, 27, 199, 37, 92, 219, 251, 109, 62, 173, 135, 141, 129}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 0, 0, 0, 2, 1, 4, 7, 0, 9, 2, 2, 7, 4, 13, 1, 2, 17, 6, 4, 12, 16, 16, 16, 19, 2, 22, 9, 14, 1, 21, 4, 8, 14, 12, 24, 31, 31, 22, 19, 22, 35, 3, 14, 17, 34, 24, 18, 41, 11, 38, 45, 28, 22, 53, 3, 27, 18, 45, 13, 37, 10, 31, 3, 31, 37, 27, 19, 18, 57, 9, 32, 43, 4, 20, 66, 64, 6, 28, 29, 27, 78, 3, 61, 74, 3, 5, 61, 27, 67, 77, 32, 30, 58, 46, 35, 74, 51, 17, 17, 13, 5, 86, 44, 27, 52, 46, 32, 80, 89, 14, 5, 78, 55, 82, 62, 73, 11, 96, 62, 23, 96, 26, 119, 60, 40, 22, 118, 68, 34, 88, 47, 85, 115, 75, 89, 129, 96, 97, 136, 75, 83, 96, 4, 5, 9, 60, 43, 120, 121, 147, 118, 38, 53, 97, 6, 124, 23, 29, 2, 157, 26, 122, 154, 15, 142, 10, 123, 101, 101, 40, 171, 118, 33, 70, 158, 37, 165, 169, 103, 93, 68, 138, 37, 97, 2, 6, 113, 73, 93, 90, 110, 43, 162, 11, 105, 123, 76, 75, 94, 68, 74, 191, 103, 105, 138, 56, 102, 108, 164, 22, 67, 11, 19, 121, 169, 75, 124, 63, 158, 180, 177, 122, 152, 80, 65, 149, 29, 166, 101, 56, 217, 217, 102, 50, 47, 42, 57, 136, 108, 79, 34, 18, 212, 23, 28, 17, 242, 80, 26, 1, 81, 177, 169, 96, 244, 75, 92, 252, 182, 161, 73, 246, 43, 194, 31, 158, 189, 215, 28, 52, 114, 105, 184, 248, 167, 85, 116, 132, 268, 98, 253, 15, 96, 204, 60, 4, 6, 18, 7, 75, 44, 44, 21, 35, 255, 26, 62, 36}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 3, 0, 11, 9, 4, 0, 10, 6, 14, 3, 10, 8, 1, 2, 12, 14, 23, 16, 16, 4, 3, 3, 15, 17, 16, 25, 20, 6, 37, 17, 7, 15, 13, 36, 37, 1, 7, 31, 42, 29, 6, 24, 6, 37, 19, 11, 30, 13, 27, 26, 44, 5, 47, 47, 63, 25, 15, 49, 50, 68, 9, 42, 1, 17, 61, 33, 54, 31, 56, 68, 59, 27, 26, 26, 44, 1, 84, 10, 74, 74, 69, 55, 70, 73, 37, 8, 51, 50, 60, 94, 66, 98, 93, 50, 42, 54, 96, 94, 16, 34, 67, 10, 89, 12, 15, 104, 77, 37, 58, 30, 114, 65, 41, 82, 52, 36, 125, 52, 23, 102, 8, 119, 90, 15, 129, 132, 2, 11, 58, 23, 47, 136, 1, 27, 83, 52, 34, 94, 143, 5, 22, 63, 17, 22, 143, 144, 60, 139, 83, 58, 21, 74, 82, 141, 134, 33, 5, 13, 132, 63, 130, 123, 36, 153, 22, 168, 166, 9, 104, 43, 82, 171, 35, 162, 60, 52, 18, 158, 71, 132, 46, 66, 89, 136, 24, 29, 60, 148, 168, 44, 165, 186, 93, 126, 108, 8, 197, 85, 73, 155, 70, 160, 74, 205, 127, 205, 37, 211, 121, 94, 9, 168, 195, 173, 49, 7, 16, 159, 194, 195, 0, 12, 177, 178, 93, 65, 209, 65, 144, 143, 39, 227, 132, 88, 208, 189, 68, 154, 14, 119, 95, 52, 99, 147, 182, 103, 60, 159, 35, 156, 148, 20, 238, 176, 183, 57, 226, 220, 84, 68, 166, 245, 67, 96, 58, 264, 105, 242, 145, 141, 134, 65, 6, 238, 141, 15, 97, 9, 253, 199, 201, 229, 51, 263, 34, 137, 89, 164, 39, 79}

{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

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

{1, 1, 0}

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

{1, 0, 1, 1}

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

{1, 1, 1, 0, 1}

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

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

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

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

Returns: {1, 0, 0, 1, 0, 0, 0 }
{-1, 0, 1, 0, 2, 4, 5, 3}

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

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

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

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

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

Returns: {1, 1, 0, 1, 0, 1, 0, 0, 0, 0 }
{-1, 0, 0, 2, 1, 2, 1, 3, 3, 5, 4}

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

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

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

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

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

Returns: {1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 3, 2, 2, 4, 7, 3, 9, 8, 6, 10}

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 0, 1, 1, 1, 0, 4, 3, 4, 2, 9, 10, 9, 6, 8, 5, 3, 7, 17}

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

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

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

Returns: {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 0, 2, 3, 4, 1, 5, 4, 4, 8, 9, 10, 6, 2, 12, 2, 4, 17, 18, 2, 2}

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

Returns: {1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 0, 3, 4, 6, 3, 3, 5, 9, 6, 12, 4, 5, 12, 8, 7, 1, 6, 20, 19}

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

Returns: {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 }
{-1, 0, 0, 2, 3, 3, 5, 1, 6, 3, 7, 8, 10, 9, 10, 6, 14, 9, 11, 12, 9, 17, 13, 22}

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

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

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

Returns: {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 0, 0, 0, 4, 2, 7, 6, 5, 3, 10, 8, 9, 11, 14, 2, 15, 0, 1, 20, 9, 5, 22, 7}

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

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

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

Returns: {1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 }
{-1, 0, 1, 0, 2, 4, 3, 5, 7, 8, 6, 9, 11, 12, 13, 14, 15, 16, 17, 10, 19, 18, 20, 21, 22, 23, 24, 25}

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

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

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

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

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

Returns: {1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 3, 4, 4, 5, 0, 8, 9, 10, 7, 0, 12, 13, 6, 11, 16, 17, 9, 15, 0, 6, 4, 1, 25, 20, 24, 26, 10}

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

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

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

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

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

Returns: {1, 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 }
{-1, 0, 0, 1, 2, 2, 2, 4, 6, 2, 5, 9, 2, 11, 11, 0, 10, 15, 14, 7, 8, 3, 18, 21, 16, 19, 23, 26, 25, 21, 8, 28, 7, 31}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 1, 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 }
{-1, 0, 0, 2, 2, 0, 3, 3, 4, 8, 3, 6, 11, 2, 5, 5, 3, 16, 15, 15, 18, 15, 12, 4, 10, 22, 0, 17, 3, 2, 18, 0, 18, 15, 26, 0, 9, 5, 18, 35, 29, 30, 34, 33}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1 }
{-1, 0, 0, 1, 3, 2, 2, 6, 7, 7, 3, 1, 4, 4, 13, 9, 3, 12, 13, 18, 2, 16, 7, 11, 7, 9, 3, 24, 19, 27, 11, 11, 25, 7, 31, 10, 8, 21, 4, 3, 25, 0, 20, 39, 30}

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 0, 0, 1, 0, 0, 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 }
{-1, 0, 0, 1, 3, 4, 2, 5, 7, 4, 9, 5, 2, 11, 12, 10, 6, 5, 13, 11, 13, 6, 20, 14, 21, 24, 18, 25, 22, 20, 5, 26, 4, 26, 6, 19, 12, 36, 37, 20, 27, 28, 6, 30, 42, 3, 27, 44, 38, 17, 48}

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 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 }
{-1, 0, 1, 0, 3, 4, 5, 6, 2, 4, 7, 9, 10, 11, 8, 14, 1, 16, 15, 5, 15, 17, 19, 21, 22, 3, 24, 20, 13, 28, 29, 26, 12, 16, 27, 20, 10, 18, 33, 25, 13, 19, 4, 35, 36, 39, 25, 31, 46, 19, 32, 34, 51, 41, 38, 42, 55}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 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 }
{-1, 0, 0, 2, 1, 4, 5, 6, 4, 7, 3, 7, 10, 9, 12, 11, 10, 15, 16, 11, 13, 4, 8, 18, 0, 22, 14, 23, 17, 16, 20, 28, 26, 21, 21, 33, 23, 24, 6, 37, 7, 31, 32, 25, 41, 34, 35, 37, 17, 40, 30, 42, 50, 8, 48, 37, 19, 55, 38, 11, 57, 57, 26, 62, 51, 39}

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

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

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

Returns: {1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 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 }
{-1, 0, 0, 2, 1, 2, 5, 0, 7, 6, 4, 10, 2, 3, 0, 9, 5, 8, 8, 16, 17, 17, 20, 2, 7, 5, 24, 15, 25, 15, 26, 1, 1, 7, 19, 16, 31, 5, 37, 25, 33, 21, 20, 41, 0, 23, 36, 11, 29, 47, 12, 50, 37, 47, 30, 53, 39, 31, 13, 23, 31, 38, 24, 39, 53, 50, 51, 14}

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

Returns: {1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{-1, 0, 0, 1, 2, 4, 1, 5, 2, 7, 3, 6, 5, 9, 7, 14, 13, 11, 6, 10, 16, 12, 19, 15, 11, 18, 24, 17, 26, 3, 13, 29, 29, 15, 12, 21, 8, 30, 28, 31, 22, 25, 35, 39, 33, 43, 32, 21, 13, 6, 40, 47, 2, 41, 14, 30, 3, 37, 36, 54, 51, 27, 33, 52, 43, 34, 55, 62, 45}

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{-1, 0, 1, 2, 0, 4, 1, 4, 6, 6, 2, 7, 11, 8, 10, 6, 7, 5, 16, 12, 16, 2, 9, 17, 3, 7, 17, 9, 4, 19, 17, 13, 30, 18, 25, 12, 14, 11, 8, 26, 6, 36, 13, 8, 43, 41, 36, 31, 43, 0, 27, 32, 44, 16, 39, 33, 34, 30, 1, 56, 52, 35, 50, 9, 25, 50, 64, 11, 8, 54}

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

Returns: {1, 0, 0, 0, 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 }
{-1, 0, 0, 2, 3, 0, 1, 3, 6, 8, 4, 10, 0, 11, 6, 7, 11, 5, 7, 11, 18, 12, 15, 16, 19, 13, 2, 23, 15, 1, 29, 26, 31, 25, 27, 27, 32, 33, 32, 28, 8, 36, 34, 15, 21, 17, 44, 30, 22, 47, 45, 0, 18, 22, 40, 39, 49, 40, 6, 50, 1, 46, 17, 61, 27, 40, 39, 55, 28, 27, 22}

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

Returns: {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 }
{-1, 0, 0, 0, 3, 1, 4, 0, 1, 5, 6, 10, 8, 2, 10, 7, 2, 1, 17, 1, 15, 20, 9, 19, 7, 4, 16, 3, 7, 28, 23, 20, 29, 7, 21, 18, 19, 24, 36, 37, 31, 4, 25, 37, 8, 5, 44, 15, 28, 9, 32, 0, 45, 51, 18, 51, 29, 11, 24, 1, 53, 2, 48, 28, 11, 52, 19, 49, 9, 61, 22, 13}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 0, 0, 0, 1, 0, 0, 0, 1, 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 }
{-1, 0, 1, 2, 0, 2, 3, 6, 1, 5, 9, 7, 0, 10, 4, 6, 10, 16, 17, 13, 1, 12, 21, 19, 2, 15, 15, 0, 22, 28, 23, 29, 17, 20, 8, 26, 27, 14, 34, 25, 18, 6, 11, 31, 32, 29, 6, 46, 42, 29, 19, 39, 25, 48, 45, 27, 2, 56, 28, 39, 9, 10, 15, 24, 37, 63, 57, 65, 40, 42, 9, 23, 54, 62, 36, 71, 1, 35, 18, 47}

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

Returns: {1, 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 }
{-1, 0, 0, 1, 3, 2, 0, 4, 4, 8, 1, 6, 9, 6, 11, 8, 11, 1, 10, 12, 2, 12, 8, 7, 13, 2, 3, 16, 3, 18, 25, 15, 18, 27, 29, 21, 6, 21, 5, 6, 6, 8, 17, 12, 25, 37, 45, 11, 23, 18, 43, 41, 42, 46, 3, 49, 21, 47, 3, 26, 8, 11, 33, 43, 55, 49, 19, 31, 42, 4, 24, 61, 63, 53, 23, 2, 39, 13, 76, 52, 73}

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

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

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

Returns: {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0 }
{-1, 0, 0, 2, 0, 4, 1, 6, 3, 4, 7, 3, 9, 11, 8, 4, 10, 15, 12, 5, 14, 20, 6, 18, 16, 12, 22, 21, 13, 23, 27, 25, 9, 28, 29, 26, 25, 17, 4, 37, 24, 31, 31, 36, 35, 21, 42, 19, 47, 44, 43, 15, 38, 39, 45, 48, 33, 32, 5, 34, 18, 10, 28, 58, 49, 46, 30, 40, 60, 53, 64, 62, 26, 41, 66, 67, 42, 69, 31, 52, 14, 80, 57}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Returns: {1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 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 }
{-1, 0, 0, 1, 2, 0, 4, 5, 4, 2, 7, 2, 6, 4, 13, 11, 14, 0, 16, 14, 14, 1, 12, 19, 1, 22, 12, 5, 24, 6, 23, 13, 9, 23, 20, 10, 3, 10, 34, 37, 0, 21, 41, 5, 19, 6, 38, 44, 18, 3, 29, 0, 1, 41, 7, 31, 43, 17, 57, 30, 28, 19, 38, 26, 59, 62, 0, 25, 53, 68, 17, 34, 51, 60, 21, 71, 28, 36, 42, 40, 22, 78, 73, 47, 58, 40, 47, 86, 70, 7, 47, 30, 55, 59, 91}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Statistics

Problem Statement for "TreePuzzle"

Problem Statement

Definition

Constraints

Examples