TopCoder Statistics - Problem Statement

Problem Statement

In this problem, some test cases have more than one correct output. We are using a special checker to verify that the output of your program is correct.

This problem is about chessboards with rooks. A rook is a chess piece that moves arbitrarily far, either horizontally or vertically. Both rows and columns of chessboards in our problem are numbered starting from 0.

An n times n chessboard is called peaceful if it contains exactly n rooks and no two rooks attack each other. In other words, there cannot be two rooks in the same row or in the same column of the chessboard. A peaceful chessboard can be described by a int[] Y with n elements: for each row r, the rook in row r is in column Y[r].

You are given two int[]s Y1 and Y2 with n elements each. Each of them represents one peaceful chessboard.

You want to change the first chessboard into the second one. There is only one type of moves you are allowed to make: On the first chessboard, you can choose two rooks in positions (r1,c1) and (r2,c2) such that r1 < r2 and c1 > c2, and move them to (r1,c2) and (r2,c1). Note that the new chessboard is peaceful again.

If changing the first chessboard into the second one is impossible, return a int[] with only one element, and that element should be -1.

Otherwise, find any valid sequence of moves that changes the first board into the second board. Each move is uniquely defined by two integers: the rows with the rooks you want to move. If we write down the two rows for each move, we get a sequence of integers that encodes the solution. If that sequence has at most 2500 integers (i.e., encodes at most 1250 moves), return a int[] with the entire sequence. Otherwise, return a int[] with just the first 2500 integers of your sequence.

Definition

Class:: MovingRooksDiv1
Method:: move
Parameters:: int[], int[]
Returns:: int[]
Method signature:: int[] move(int[] Y1, int[] Y2)
(be sure your method is public)

Notes

You are not required to find the solution that uses the smallest possible number of moves.
If your return value has 2500 integers, it will be accepted if and only if it is a valid solution or a proper prefix of some valid solution.
If your return value has fewer than 2500 integers, it will be accepted if and only if it's a valid solution (not a proper prefix).

Constraints

Y1 will contain between 1 and 2500 elements, inclusive.
Y2 will contain the same number of elements as Y1.
Each element of Y1 will be between 0 and n-1, inclusive, where n is the number of elements of Y1.
Each element of Y2 will be between 0 and n-1, inclusive, where n is the number of elements of Y2.
All elements of Y1 will be distinct.
All elements of Y2 will be distinct.

Examples

{0}

{0}

Returns: { }
{1,0}

{0,1}

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

{2,0,1}

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

{0,1,2,3,4,5}

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

{0,1,2,3,4,5,6,7,8,9,10}

Returns: {0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 9, 3, 10, 4, 5, 4, 6, 4, 7, 4, 8, 4, 9, 4, 10, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 6, 7, 6, 8, 6, 9, 6, 10, 7, 8, 7, 9, 7, 10, 8, 9, 8, 10, 9, 10 }
{356,306,142,377,350,241,361,325,352,94,294,293,249,47,329,343,357,287,230,289,337,86,367,327,326,342,153,20,340,358,312,285,81,227,169,277,216,365,379,211,188,252,218,313,300,302,283,322,372,354,297,279,331,321,359,247,323,115,320,288,333,360,309,144,316,274,371,319,5,345,139,244,35,170,253,141,261,228,238,295,250,232,67,221,183,201,264,364,341,222,330,369,336,338,276,231,255,95,380,209,314,226,267,318,214,213,332,1,272,151,130,376,353,242,290,248,284,136,179,378,383,164,315,374,363,161,317,64,192,243,307,92,335,311,15,137,281,273,254,207,150,128,206,121,44,270,344,245,156,310,263,186,118,172,9,375,304,89,146,140,236,368,251,240,166,233,199,135,292,210,381,196,349,268,291,366,39,212,266,104,299,204,165,257,30,57,158,351,265,348,38,334,235,90,16,296,40,223,72,373,163,298,305,114,154,160,155,134,191,23,77,362,58,282,215,328,246,271,91,105,177,74,256,96,176,131,258,168,205,190,202,225,55,195,148,36,197,108,180,87,117,10,132,239,50,101,262,70,145,185,60,370,237,347,122,111,173,346,98,171,147,189,26,43,275,220,301,278,193,63,7,174,217,224,269,167,27,103,303,99,62,24,234,175,200,126,129,46,149,157,82,123,308,259,208,73,324,80,3,56,203,75,106,52,12,120,37,45,187,41,162,159,34,2,219,116,76,125,178,355,107,65,85,181,17,182,100,194,71,138,83,133,13,11,229,18,127,110,119,28,184,31,198,152,78,68,88,93,143,286,113,84,382,4,69,54,22,48,42,66,33,19,102,6,21,109,97,280,32,260,14,112,61,124,8,25,51,49,0,59,339,53,79,29}

{57,64,103,78,183,151,361,136,36,55,231,192,30,46,329,285,341,20,230,224,337,86,38,327,146,29,150,180,95,358,312,331,81,17,169,277,215,308,112,208,18,22,218,87,241,9,275,92,309,141,253,279,271,321,106,5,44,115,209,288,249,32,264,217,228,189,50,319,182,320,79,244,23,155,272,138,229,185,238,295,350,262,16,221,314,24,372,102,263,73,54,226,311,291,306,294,66,129,380,250,371,315,160,144,274,369,39,1,126,356,176,212,107,359,128,133,49,13,27,378,190,164,114,290,307,352,247,243,245,199,363,266,335,360,15,67,367,273,90,105,26,170,379,121,96,72,344,25,281,242,53,186,88,172,232,117,304,89,326,166,284,99,234,235,82,240,130,100,174,261,381,196,349,287,45,305,347,85,283,131,357,191,165,333,318,248,158,300,159,216,119,125,323,254,137,348,161,223,52,373,163,298,84,42,154,93,233,322,142,21,368,268,58,236,201,328,246,71,296,7,270,74,34,345,157,282,258,168,91,383,202,353,297,330,148,12,257,225,35,101,299,10,31,75,108,111,178,342,145,48,41,213,98,376,204,362,173,187,59,237,116,255,153,8,77,256,301,63,310,200,338,109,220,374,269,110,37,188,303,325,62,139,134,149,210,343,280,47,175,377,252,123,354,2,340,222,324,292,3,184,203,239,251,214,56,120,94,211,11,43,162,104,293,40,317,334,68,147,207,355,267,65,205,181,276,197,135,194,375,206,83,140,70,346,316,278,127,97,156,28,19,179,198,152,364,336,351,366,118,286,113,219,382,4,69,76,177,365,0,193,33,259,302,6,332,195,132,289,370,260,14,313,61,124,60,122,51,80,227,171,339,265,143,167}

Returns: {0, 1, 0, 2, 0, 9, 0, 21, 0, 32, 0, 82, 0, 127, 0, 185, 1, 2, 1, 5, 1, 9, 1, 21, 1, 32, 1, 82, 1, 127, 1, 185, 2, 4, 2, 5, 2, 9, 2, 18, 2, 21, 2, 57, 2, 179, 2, 277, 3, 4, 3, 5, 3, 7, 3, 9, 3, 10, 3, 11, 3, 12, 3, 18, 3, 21, 3, 26, 3, 32, 3, 82, 3, 127, 3, 297, 3, 344, 4, 5, 4, 7, 4, 9, 4, 10, 4, 11, 4, 12, 4, 17, 4, 18, 4, 21, 4, 26, 4, 33, 4, 36, 4, 39, 4, 40, 4, 84, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 11, 5, 12, 5, 17, 5, 18, 5, 21, 5, 26, 5, 32, 5, 109, 6, 7, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 17, 7, 18, 7, 19, 7, 21, 7, 26, 7, 32, 7, 33, 7, 34, 7, 57, 7, 70, 7, 117, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 144, 8, 176, 8, 190, 8, 235, 9, 10, 9, 11, 9, 12, 9, 13, 9, 17, 9, 18, 9, 19, 9, 21, 9, 26, 9, 31, 9, 32, 9, 33, 9, 34, 9, 36, 9, 39, 9, 40, 9, 57, 9, 63, 9, 70, 9, 75, 9, 82, 9, 127, 9, 185, 9, 212, 9, 232, 10, 11, 10, 12, 10, 13, 10, 14, 10, 17, 10, 18, 10, 19, 10, 21, 10, 26, 10, 31, 10, 32, 10, 33, 10, 34, 10, 78, 10, 81, 10, 95, 11, 12, 11, 13, 11, 14, 11, 15, 11, 17, 11, 18, 11, 19, 11, 21, 11, 26, 11, 31, 11, 32, 11, 33, 11, 34, 11, 36, 11, 39, 11, 40, 11, 57, 11, 85, 11, 128, 12, 13, 12, 14, 12, 15, 12, 17, 12, 18, 12, 19, 12, 21, 12, 26, 12, 31, 12, 32, 12, 33, 12, 34, 12, 35, 12, 36, 12, 39, 12, 40, 12, 42, 12, 57, 12, 63, 12, 70, 12, 72, 12, 184, 13, 14, 13, 15, 13, 17, 13, 18, 13, 19, 13, 21, 13, 26, 13, 31, 13, 32, 13, 33, 13, 34, 13, 35, 13, 36, 13, 39, 13, 40, 13, 42, 13, 57, 13, 63, 13, 70, 13, 72, 13, 75, 13, 82, 13, 97, 13, 127, 13, 131, 13, 144, 13, 287, 14, 15, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 23, 15, 24, 15, 26, 15, 30, 15, 31, 15, 32, 15, 33, 15, 34, 15, 35, 15, 36, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 25, 16, 88, 17, 18, 17, 19, 17, 20, 17, 21, 17, 23, 17, 24, 17, 26, 17, 27, 18, 19, 18, 20, 18, 21, 18, 23, 18, 24, 18, 26, 18, 27, 18, 30, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 36, 18, 39, 18, 40, 18, 42, 19, 20, 19, 21, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 39, 19, 40, 19, 41, 19, 42, 19, 55, 19, 57, 19, 101, 19, 231, 19, 273, 20, 21, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36, 21, 39, 21, 40, 21, 41, 21, 42, 21, 55, 21, 57, 21, 63, 21, 70, 21, 72, 21, 75, 21, 82, 21, 97, 21, 110, 21, 127, 21, 131, 21, 144, 21, 157, 21, 185, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 30, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 36, 22, 39, 22, 40, 22, 41, 22, 42, 22, 55, 22, 57, 22, 63, 22, 70, 22, 72, 22, 73, 22, 75, 22, 82, 22, 97, 22, 110, 22, 117, 22, 127, 22, 131, 22, 144, 22, 157, 22, 176, 22, 190, 22, 235, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 30, 23, 31, 23, 32, 24, 25, 24, 26, 24, 27, 24, 28, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 39, 24, 40, 24, 41, 24, 42, 24, 46, 24, 51, 24, 55, 24, 57, 24, 63, 24, 70, 24, 71, 24, 72, 24, 73, 24, 75, 24, 82, 24, 109, 24, 140, 24, 158, 25, 26, 25, 27, 25, 28, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 39, 25, 40, 25, 41, 25, 42, 25, 46, 25, 51, 25, 55, 25, 57, 25, 63, 25, 70, 25, 71, 25, 72, 25, 73, 25, 75, 25, 82, 25, 97, 25, 110, 25, 117, 25, 127, 25, 131, 25, 141, 25, 143, 25, 144, 25, 157, 25, 176, 25, 184, 25, 312, 25, 341, 25, 383, 26, 27, 26, 28, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 39, 26, 40, 26, 41, 26, 42, 26, 46, 26, 51, 26, 55, 26, 57, 26, 63, 26, 65, 26, 70, 26, 71, 26, 72, 26, 73, 26, 75, 26, 82, 26, 84, 26, 97, 26, 109, 26, 121, 26, 125, 26, 140, 26, 158, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 39, 27, 40, 27, 41, 27, 42, 27, 46, 27, 51, 27, 55, 27, 57, 27, 63, 27, 65, 27, 70, 27, 71, 27, 72, 27, 73, 27, 75, 27, 77, 27, 82, 27, 84, 27, 85, 27, 97, 27, 151, 27, 238, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 39, 28, 40, 28, 41, 28, 42, 28, 44, 28, 46, 28, 51, 28, 55, 28, 57, 28, 63, 28, 65, 28, 70, 28, 71, 28, 72, 28, 73, 28, 75, 28, 77, 28, 78, 28, 81, 28, 82, 28, 83, 28, 84, 28, 85, 28, 97, 28, 99, 28, 109, 28, 110, 28, 117, 28, 127, 28, 131, 28, 135, 28, 141, 28, 143, 28, 144, 28, 152, 28, 157, 29, 30, 29, 31, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 39, 30, 40, 30, 41, 30, 42, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 39, 31, 40, 31, 52, 32, 33, 32, 34, 32, 35, 32, 36, 32, 39, 32, 40, 32, 41, 32, 42, 32, 43, 32, 44, 32, 45, 32, 46, 32, 50, 32, 51, 32, 55, 32, 57, 32, 59, 32, 63, 32, 65, 32, 70, 32, 71, 32, 72, 32, 73, 32, 75, 32, 77, 32, 78, 32, 81, 32, 82, 32, 83, 32, 84, 32, 85, 32, 97, 32, 99, 32, 109, 32, 110, 32, 117, 32, 127, 32, 131, 32, 135, 32, 141, 32, 143, 32, 144, 32, 152, 32, 157, 32, 176, 32, 184, 32, 185, 32, 239, 32, 290, 32, 297, 33, 34, 33, 35, 33, 36, 33, 39, 33, 40, 33, 41, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 50, 33, 51, 33, 55, 33, 57, 33, 59, 33, 63, 33, 65, 33, 70, 33, 71, 33, 72, 33, 73, 33, 74, 33, 75, 33, 77, 33, 78, 33, 81, 33, 82, 33, 83, 33, 84, 33, 85, 33, 97, 33, 99, 33, 104, 33, 105, 33, 109, 33, 110, 33, 117, 33, 121, 33, 125, 33, 127, 33, 131, 33, 135, 33, 141, 33, 143, 33, 144, 33, 152, 33, 157, 33, 176, 33, 179, 33, 184, 33, 185, 33, 190, 33, 196, 33, 209, 33, 324, 34, 35, 34, 36, 34, 39, 34, 40, 34, 41, 34, 42, 34, 43, 34, 44, 34, 45, 34, 46, 34, 50, 34, 51, 34, 55, 34, 57, 34, 59, 34, 63, 34, 65, 34, 70, 34, 71, 34, 72, 34, 73, 34, 74, 34, 75, 34, 77, 34, 78, 34, 81, 34, 82, 34, 83, 34, 84, 34, 85, 34, 89, 34, 97, 34, 99, 34, 104, 34, 105, 34, 109, 34, 110, 34, 117, 34, 118, 34, 121, 34, 125, 35, 36, 35, 37, 35, 39, 35, 40, 35, 41, 35, 42, 35, 43, 35, 44, 35, 45, 35, 46, 35, 50, 35, 51, 35, 55, 35, 57, 35, 59, 35, 63, 35, 65, 35, 70, 35, 71, 35, 72, 35, 73, 35, 74, 36, 37, 36, 39, 36, 40, 36, 41, 36, 42, 36, 43, 36, 44, 36, 45, 36, 46, 36, 47, 36, 50, 36, 51, 36, 55, 36, 57, 36, 59, 36, 63, 36, 65, 36, 70, 36, 71, 36, 72, 36, 73, 36, 74, 36, 75, 36, 76, 36, 77, 36, 78, 36, 80, 36, 81, 36, 82, 36, 83, 36, 84, 36, 85, 36, 89, 36, 97, 36, 99, 36, 104, 36, 105, 36, 214, 37, 39, 37, 40, 37, 41, 37, 42, 37, 43, 37, 44, 37, 45, 37, 46, 37, 47, 37, 50, 37, 51, 37, 62, 37, 292, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 46, 38, 47, 38, 50, 38, 51, 38, 53, 38, 55, 38, 57, 38, 59, 38, 63, 38, 65, 38, 70, 38, 71, 38, 72, 38, 73, 38, 74, 38, 75, 38, 76, 38, 77, 38, 78, 38, 80, 38, 81, 38, 82, 38, 83, 38, 84, 38, 85, 38, 89, 38, 95, 38, 97, 38, 99, 38, 104, 38, 105, 38, 109, 38, 110, 38, 117, 38, 118, 38, 121, 38, 125, 38, 127, 38, 131, 38, 135, 38, 141, 38, 143, 38, 144, 38, 152, 38, 157, 38, 176, 38, 179, 38, 184, 38, 203, 38, 350, 38, 371, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 46, 39, 47, 39, 50, 39, 51, 39, 53, 39, 55, 39, 57, 39, 59, 39, 63, 39, 65, 39, 70, 39, 71, 39, 72, 39, 73, 39, 74, 39, 75, 39, 76, 39, 77, 39, 78, 39, 80, 39, 81, 39, 82, 39, 83, 39, 84, 39, 85, 39, 89, 39, 95, 39, 97, 39, 99, 39, 101, 39, 104, 39, 105, 39, 109, 39, 110, 39, 117, 39, 118, 39, 121, 39, 294, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 46, 40, 47, 40, 50, 40, 51, 40, 53, 40, 55, 40, 57, 40, 58, 40, 59, 40, 63, 40, 65, 40, 70, 40, 71, 40, 72, 40, 73, 40, 74, 40, 75, 40, 76, 40, 77, 40, 78, 40, 80, 40, 81, 40, 82, 40, 83, 40, 84, 40, 85, 40, 89, 40, 95, 40, 97, 40, 99, 40, 101, 40, 104, 40, 105, 40, 109, 40, 110, 40, 117, 40, 118, 40, 121, 40, 125, 40, 127, 40, 131, 40, 135, 40, 141, 40, 143, 40, 144, 40, 152, 40, 157, 40, 176, 40, 179, 40, 184, 40, 185, 40, 190, 40, 193, 40, 196, 40, 209, 40, 235, 40, 262, 40, 281, 40, 324, 40, 335, 41, 42, 41, 43, 41, 44, 41, 45, 41, 46, 41, 47, 41, 50, 41, 51, 41, 52, 41, 53, 41, 55, 41, 56, 41, 57, 41, 58, 41, 59, 41, 62, 41, 63, 41, 65, 41, 70, 41, 71, 41, 72, 41, 73, 41, 74, 41, 75, 41, 76, 41, 77, 41, 78, 41, 80, 41, 81, 41, 82, 41, 83, 41, 84, 41, 85, 41, 89, 41, 95, 41, 97, 41, 99, 41, 101, 41, 104, 41, 105, 41, 109, 41, 110, 41, 117, 41, 118, 41, 121, 41, 125, 41, 127, 41, 131, 41, 135, 41, 140, 41, 141, 41, 143, 41, 144, 41, 152, 41, 157, 41, 167, 41, 176, 41, 179, 41, 184, 41, 185, 41, 190, 41, 193, 41, 196, 41, 198, 41, 209, 41, 235, 41, 262, 41, 276, 41, 281, 41, 324, 41, 335, 41, 356, 42, 43, 42, 44, 42, 45, 42, 46, 42, 47, 42, 49, 42, 50, 42, 51, 42, 52, 42, 53, 42, 55, 42, 56, 42, 57, 42, 58, 42, 59, 42, 62, 42, 63, 42, 65, 42, 70, 42, 71, 42, 72, 42, 73, 42, 74, 42, 75, 42, 76, 42, 77, 42, 78, 42, 80, 42, 81, 42, 82, 42, 83, 42, 84, 42, 85, 42, 89, 42, 95, 42, 97, 42, 99, 42, 101, 42, 104, 42, 105, 42, 109, 42, 110, 42, 117, 42, 118, 43, 44, 43, 45, 43, 46, 43, 47, 43, 49, 43, 50, 43, 51, 43, 52, 43, 53, 43, 55, 43, 56, 43, 57, 43, 58, 43, 59, 43, 62, 43, 63, 43, 64, 43, 65, 43, 70, 43, 71, 43, 72, 43, 73, 43, 74, 43, 75, 43, 76, 43, 77, 43, 78, 43, 80, 43, 81, 43, 82, 43, 83, 43, 84, 43, 85, 43, 89, 43, 95, 43, 97, 43, 99, 43, 101, 43, 104, 43, 105, 43, 109, 43, 110, 43, 117, 43, 118, 43, 121, 43, 125, 43, 127, 43, 128, 43, 131, 43, 135, 43, 140, 43, 141, 43, 143, 43, 144, 43, 152, 43, 157, 43, 167, 43, 176, 43, 179, 43, 184, 43, 185, 43, 190, 43, 193, 43, 196, 43, 198, 43, 239, 43, 290, 44, 45, 44, 46, 44, 47, 44, 49, 44, 50, 44, 51, 44, 52, 44, 53, 44, 55, 44, 56, 44, 57, 44, 58, 44, 59, 44, 62, 44, 63, 44, 64, 44, 65, 44, 70, 44, 71, 44, 72, 44, 73, 44, 74, 44, 75, 44, 76, 44, 77, 44, 78, 44, 80, 44, 81, 44, 82, 44, 83, 44, 84, 44, 85, 44, 89, 44, 95, 44, 97, 44, 99, 44, 101, 44, 104, 45, 46, 45, 47, 45, 49, 45, 50, 45, 51, 45, 52, 45, 53, 45, 55, 45, 56, 45, 57, 45, 58, 45, 59, 45, 62, 45, 63, 45, 64, 45, 65, 45, 67, 45, 70, 45, 71, 45, 72, 45, 73, 45, 74, 45, 75, 45, 76, 45, 77, 45, 78, 45, 80, 45, 81, 45, 82, 45, 83, 45, 84, 45, 85, 45, 89, 45, 95, 45, 97, 45, 99, 45, 101, 45, 104, 45, 105, 45, 109, 45, 110, 45, 117, 45, 118, 45, 121, 45, 125, 45, 127, 45, 128, 45, 131, 45, 134, 45, 154, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 53, 46, 55, 46, 56, 46, 57, 46, 58, 46, 59, 46, 62, 46, 63, 46, 64, 46, 65, 46, 67, 46, 70, 46, 71, 46, 72, 46, 73, 46, 74, 46, 75, 46, 76, 46, 77, 46, 78, 46, 80, 46, 81, 46, 82, 46, 83, 46, 84, 46, 94, 46, 264, 47, 48, 47, 49, 47, 50, 47, 51 }
{31,30,28,29,23,27,25,24,15,26,22,21,20,12,19,17,18,14,13,11,10,5,9,16,8,4,7,3,6,2,1,0}

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

Returns: {0, 1, 0, 2, 0, 4, 0, 8, 0, 13, 1, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 10, 2, 11, 2, 12, 2, 13, 2, 17, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 10, 3, 11, 3, 12, 3, 13, 3, 14, 3, 15, 3, 17, 3, 18, 3, 19, 3, 20, 3, 22, 3, 24, 3, 26, 4, 5, 4, 6, 4, 7, 4, 8, 4, 10, 4, 11, 4, 12, 4, 13, 4, 14, 4, 15, 4, 16, 4, 17, 4, 18, 4, 19, 4, 20, 4, 21, 4, 25, 4, 27, 5, 6, 5, 7, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 14, 6, 15, 6, 16, 6, 17, 6, 18, 6, 19, 6, 20, 6, 21, 6, 22, 6, 24, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 7, 17, 7, 18, 7, 19, 7, 20, 7, 21, 7, 22, 7, 24, 7, 25, 7, 27, 7, 29, 7, 30, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 16, 8, 17, 8, 18, 8, 19, 8, 20, 8, 21, 8, 22, 8, 24, 8, 25, 8, 26, 8, 27, 8, 29, 8, 30, 8, 31, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 20, 10, 21, 10, 22, 10, 24, 10, 25, 10, 26, 10, 27, 11, 12, 11, 13, 11, 14, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 23, 13, 24, 13, 25, 13, 26, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 29, 16, 30, 16, 31, 17, 18, 17, 19, 17, 20, 17, 21, 18, 19, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 25, 26, 25, 27, 27, 28, 28, 29, 28, 30, 28, 31, 29, 30, 29, 31 }
{290,315,305,323,198,283,318,297,319,129,250,222,322,330,219,59,225,190,324,182,267,115,294,275,158,298,258,303,254,300,236,279,95,278,217,249,211,311,61,321,84,284,312,268,67,257,328,277,224,310,197,76,209,314,120,194,276,272,240,281,273,307,16,210,131,247,212,248,179,243,66,96,200,299,138,293,165,313,15,244,282,134,241,90,292,184,127,149,216,280,71,291,326,228,214,102,208,289,205,233,231,183,203,176,239,151,167,86,28,302,160,309,100,246,269,288,52,223,232,261,263,242,316,220,164,154,3,161,92,82,274,80,125,156,98,187,7,193,173,166,260,229,201,306,152,135,235,191,327,2,252,230,169,26,170,62,0,180,308,329,27,181,234,133,109,49,121,218,78,237,271,81,46,144,215,77,110,107,41,178,286,142,206,304,103,113,317,295,253,34,175,255,204,262,108,259,325,114,124,196,174,153,130,266,195,14,287,126,238,264,171,73,186,145,320,189,85,88,192,245,104,56,159,22,87,116,36,106,202,227,168,11,75,119,265,226,141,146,123,185,65,83,13,148,97,64,25,79,270,301,140,150,89,58,72,213,105,43,69,40,157,163,93,45,172,139,111,137,29,147,251,51,118,188,68,55,256,128,132,155,63,9,122,30,23,94,39,35,285,44,112,143,12,33,53,50,117,32,177,24,70,162,38,20,31,48,1,6,99,207,60,101,10,37,5,21,199,54,18,4,136,74,42,47,8,221,296,57,91,17,19}

{1,47,194,199,69,283,185,183,200,129,138,161,322,154,219,59,225,56,179,123,267,115,141,275,158,298,234,180,71,289,3,218,95,10,217,249,181,109,61,278,84,271,312,4,67,18,262,66,224,52,197,76,49,170,120,305,276,318,240,92,7,189,16,157,131,168,211,272,281,250,238,96,113,291,153,58,36,268,15,53,73,172,241,247,93,330,6,149,216,173,90,44,258,31,50,102,151,300,205,13,110,233,203,176,106,208,116,2,290,231,45,324,70,246,184,310,121,164,82,55,38,51,220,252,297,26,236,303,60,169,159,80,125,94,98,193,27,91,284,166,86,280,313,37,263,201,326,254,327,260,307,230,232,21,23,62,0,204,328,329,196,81,142,133,147,302,242,88,41,171,72,261,46,78,191,77,108,101,311,273,257,323,54,251,299,319,213,155,48,135,140,139,128,309,214,182,187,114,175,282,174,243,130,104,64,14,190,8,277,264,237,152,9,100,259,11,206,43,144,245,266,145,20,22,314,167,293,239,124,227,286,89,75,57,265,226,210,146,320,255,65,228,25,287,97,143,83,119,148,285,212,279,215,30,85,317,105,295,198,40,248,117,321,39,63,126,177,19,28,229,304,292,12,188,315,316,256,99,132,306,253,127,118,308,79,103,178,35,24,202,5,244,186,33,222,209,163,32,122,301,288,223,160,134,162,269,29,195,270,207,87,107,192,111,112,137,235,294,274,325,136,74,42,68,150,221,296,165,156,17,34}

Returns: {0, 4, 0, 9, 0, 15, 0, 62, 0, 78, 0, 126, 0, 149, 0, 306, 1, 2, 1, 4, 1, 5, 1, 9, 1, 15, 1, 21, 1, 32, 1, 38, 1, 62, 1, 116, 1, 165, 1, 305, 1, 323, 2, 4, 2, 5, 2, 9, 2, 10, 2, 11, 2, 14, 2, 15, 2, 50, 2, 55, 3, 4, 3, 5, 3, 7, 3, 9, 3, 10, 3, 11, 3, 14, 3, 15, 3, 34, 3, 36, 3, 52, 3, 72, 3, 316, 4, 5, 4, 7, 4, 9, 4, 10, 4, 11, 4, 14, 4, 15, 4, 17, 4, 19, 4, 21, 4, 32, 4, 38, 4, 40, 4, 51, 4, 90, 4, 258, 5, 6, 5, 7, 5, 9, 5, 10, 5, 11, 5, 14, 6, 7, 6, 9, 6, 10, 6, 11, 6, 14, 6, 15, 6, 16, 6, 17, 6, 19, 6, 135, 6, 212, 6, 239, 7, 8, 7, 9, 7, 10, 7, 11, 7, 14, 7, 15, 7, 16, 7, 17, 7, 19, 7, 34, 7, 36, 7, 50, 7, 55, 7, 85, 7, 101, 8, 9, 8, 10, 8, 11, 8, 14, 8, 15, 8, 16, 8, 17, 8, 19, 8, 34, 8, 36, 8, 50, 8, 52, 8, 63, 8, 72, 8, 96, 8, 98, 8, 102, 8, 142, 8, 316, 9, 10, 9, 11, 9, 14, 9, 15, 9, 16, 9, 17, 9, 19, 9, 21, 9, 24, 9, 32, 10, 11, 10, 14, 10, 15, 10, 16, 10, 17, 10, 19, 10, 20, 10, 21, 10, 24, 10, 32, 10, 74, 11, 12, 11, 14, 11, 15, 11, 16, 11, 17, 11, 19, 11, 20, 11, 21, 11, 24, 11, 30, 11, 32, 11, 68, 11, 76, 11, 124, 11, 127, 12, 14, 13, 14, 13, 15, 13, 16, 13, 17, 13, 19, 13, 20, 13, 21, 13, 23, 13, 24, 13, 26, 13, 28, 13, 30, 13, 32, 13, 34, 13, 36, 13, 50, 13, 52, 13, 55, 13, 68, 13, 74, 13, 125, 14, 15, 14, 16, 14, 17, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 26, 14, 28, 14, 30, 14, 32, 14, 34, 14, 36, 14, 48, 14, 50, 14, 52, 15, 16, 15, 17, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 26, 15, 28, 15, 30, 15, 32, 15, 34, 15, 35, 15, 36, 15, 38, 15, 40, 15, 44, 15, 62, 15, 116, 16, 17, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 26, 16, 28, 16, 30, 16, 32, 16, 34, 16, 35, 16, 36, 16, 38, 16, 48, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 26, 17, 28, 17, 30, 17, 32, 17, 34, 17, 35, 17, 36, 17, 38, 17, 40, 17, 44, 17, 51, 17, 62, 17, 70, 17, 116, 17, 221, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 28, 18, 30, 18, 31, 18, 32, 18, 34, 18, 35, 18, 36, 18, 38, 18, 40, 18, 48, 18, 50, 18, 52, 18, 55, 18, 63, 18, 68, 18, 74, 18, 76, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 28, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 38, 19, 40, 19, 48, 19, 50, 19, 52, 19, 55, 19, 63, 19, 64, 19, 86, 19, 132, 19, 198, 19, 238, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 30, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 36, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36, 21, 38, 21, 40, 21, 44, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 30, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 36, 22, 38, 22, 40, 22, 44, 22, 48, 22, 50, 22, 52, 22, 55, 22, 63, 22, 64, 22, 66, 22, 68, 22, 72, 22, 74, 22, 76, 22, 87, 22, 173, 22, 181, 22, 236, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 36, 23, 38, 23, 40, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 38, 24, 40, 24, 43, 24, 44, 24, 45, 24, 48, 24, 50, 24, 52, 24, 55, 24, 63, 24, 64, 24, 66, 24, 68, 24, 72, 24, 74, 24, 76, 24, 85, 24, 87, 24, 103, 24, 106, 24, 110, 24, 125, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 38, 26, 40, 26, 43, 26, 44, 26, 45, 26, 48, 26, 50, 26, 52, 26, 55, 26, 58, 26, 63, 26, 146, 26, 162, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 38, 27, 40, 27, 41, 27, 43, 27, 44, 27, 45, 27, 48, 27, 50, 27, 52, 27, 55, 27, 58, 27, 63, 27, 64, 27, 66, 27, 68, 27, 72, 27, 74, 27, 76, 27, 85, 27, 87, 27, 101, 27, 103, 27, 157, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 38, 28, 40, 28, 41, 28, 43, 28, 44, 28, 45, 28, 47, 28, 48, 28, 50, 28, 51, 28, 62, 28, 90, 28, 211, 28, 254, 28, 258, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 38, 29, 40, 29, 41, 29, 43, 29, 97, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 38, 30, 40, 30, 41, 30, 43, 30, 44, 30, 45, 30, 47, 30, 48, 30, 50, 30, 51, 30, 52, 30, 54, 30, 62, 30, 70, 30, 78, 30, 126, 30, 136, 30, 149, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 40, 31, 41, 31, 43, 31, 44, 31, 45, 31, 47, 31, 48, 31, 50, 31, 51, 31, 52, 31, 54, 31, 55, 31, 58, 31, 63, 31, 64, 31, 66, 31, 68, 31, 123, 31, 167, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 40, 32, 41, 32, 43, 32, 44, 32, 45, 32, 47, 32, 48, 32, 50, 32, 51, 32, 52, 32, 54, 32, 55, 32, 58, 32, 62, 32, 70, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 40, 33, 41, 33, 43, 33, 44, 33, 45, 33, 47, 33, 48, 33, 50, 33, 51, 33, 52, 33, 54, 33, 55, 33, 58, 33, 62, 33, 63, 33, 64, 33, 65, 33, 66, 33, 68, 33, 70, 33, 71, 33, 78, 33, 108, 33, 126, 33, 136, 33, 205, 33, 231, 33, 312, 34, 35, 34, 36, 34, 37, 34, 38, 34, 40, 34, 41, 34, 43, 34, 44, 34, 45, 34, 47, 34, 48, 34, 50, 34, 51, 34, 52, 34, 54, 34, 55, 34, 58, 34, 62, 34, 63, 34, 64, 34, 65, 34, 66, 34, 68, 34, 70, 34, 72, 35, 36, 35, 37, 35, 38, 35, 40, 35, 41, 35, 42, 35, 43, 35, 44, 35, 45, 35, 47, 35, 48, 35, 50, 35, 51, 35, 52, 35, 54, 35, 55, 35, 56, 35, 57, 35, 58, 35, 62, 35, 63, 35, 64, 35, 65, 35, 66, 36, 37, 36, 38, 36, 39, 36, 40, 36, 41, 36, 42, 36, 43, 36, 44, 36, 45, 36, 47, 36, 48, 36, 50, 36, 51, 36, 52, 36, 54, 36, 55, 36, 56, 36, 57, 36, 58, 36, 62, 36, 63, 36, 64, 36, 65, 36, 66, 36, 67, 36, 68, 36, 69, 36, 70, 36, 72, 36, 74, 36, 76, 36, 85, 36, 87, 36, 101, 36, 103, 36, 157, 36, 161, 37, 38, 37, 39, 37, 40, 37, 41, 37, 42, 37, 43, 37, 44, 37, 45, 37, 47, 37, 48, 37, 50, 37, 51, 37, 52, 37, 54, 37, 55, 37, 56, 37, 57, 37, 58, 37, 60, 37, 62, 37, 63, 37, 64, 37, 65, 37, 66, 37, 67, 37, 68, 37, 69, 37, 70, 37, 71, 37, 164, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 47, 38, 48, 38, 50, 38, 51, 38, 52, 38, 54, 38, 55, 38, 56, 38, 57, 38, 58, 38, 60, 38, 62, 38, 63, 38, 64, 38, 65, 38, 66, 38, 67, 38, 68, 38, 69, 38, 70, 38, 71, 38, 72, 38, 74, 38, 76, 38, 78, 38, 83, 38, 90, 38, 108, 38, 116, 38, 155, 38, 221, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 47, 39, 48, 39, 49, 39, 50, 39, 51, 39, 52, 39, 54, 39, 55, 39, 56, 39, 57, 39, 58, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 47, 40, 48, 40, 49, 40, 50, 40, 51, 40, 52, 40, 54, 40, 55, 40, 56, 40, 57, 40, 58, 40, 60, 40, 62, 40, 63, 40, 64, 40, 65, 40, 66, 40, 67, 40, 68, 40, 69, 40, 70, 40, 71, 40, 72, 40, 74, 40, 76, 40, 78, 40, 81, 40, 83, 40, 90, 40, 107, 40, 108, 41, 42, 41, 43, 41, 44, 41, 45, 41, 47, 41, 48, 41, 49, 41, 50, 41, 51, 41, 52, 41, 54, 41, 55, 41, 56, 41, 57, 41, 58, 41, 59, 41, 60, 41, 62, 41, 63, 41, 64, 41, 65, 41, 170, 42, 43, 42, 44, 42, 45, 42, 47, 42, 48, 42, 49, 42, 50, 43, 44, 43, 45, 43, 47, 43, 48, 43, 49, 43, 50, 43, 51, 43, 52, 43, 54, 43, 55, 43, 56, 43, 57, 43, 58, 43, 59, 43, 60, 43, 62, 43, 63, 43, 64, 43, 65, 43, 66, 43, 67, 43, 68, 43, 69, 43, 70, 43, 71, 43, 72, 43, 74, 43, 76, 43, 78, 43, 81, 43, 83, 43, 86, 43, 90, 43, 107, 43, 108, 43, 116, 43, 126, 43, 136, 43, 149, 43, 307, 43, 314, 43, 319, 44, 45, 44, 47, 44, 48, 44, 49, 44, 50, 44, 51, 44, 52, 44, 54, 44, 55, 44, 56, 44, 57, 44, 58, 44, 59, 44, 60, 44, 62, 44, 63, 44, 64, 44, 65, 44, 66, 44, 67, 44, 68, 44, 69, 44, 70, 44, 71, 44, 72, 44, 74, 44, 76, 44, 78, 44, 81, 44, 83, 44, 85, 44, 86, 44, 90, 44, 95, 44, 107, 44, 108, 44, 116, 44, 126, 45, 46, 45, 47, 45, 48, 45, 49, 45, 50, 45, 51, 45, 52, 45, 53, 45, 54, 45, 55, 45, 56, 45, 57, 45, 58, 45, 59, 45, 60, 45, 62, 45, 63, 45, 64, 45, 65, 45, 66, 45, 67, 45, 68, 45, 69, 45, 70, 45, 71, 45, 72, 45, 74, 45, 76, 45, 78, 45, 81, 45, 83, 45, 85, 45, 86, 45, 87, 45, 90, 45, 95, 45, 107, 45, 108, 45, 116, 45, 126, 45, 129, 45, 131, 45, 136, 45, 153, 45, 223, 45, 303, 45, 318, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 53, 46, 54, 46, 55, 46, 56, 46, 57, 46, 58, 46, 59, 46, 60, 46, 62, 46, 63, 46, 64, 46, 65, 46, 66, 46, 67, 46, 68, 46, 69, 46, 120, 46, 193, 47, 48, 47, 49, 47, 50, 47, 51, 47, 52, 47, 53, 47, 54, 47, 55, 47, 56, 47, 57, 47, 58, 47, 59, 47, 60, 47, 62, 47, 63, 47, 64, 47, 65, 47, 66, 47, 67, 47, 68, 47, 69, 47, 70, 47, 71, 47, 72, 47, 74, 47, 76, 47, 78, 47, 79, 47, 81, 47, 82, 47, 83, 47, 85, 47, 86, 47, 87, 47, 90, 47, 95, 47, 107, 47, 108, 47, 112, 47, 116, 47, 126, 47, 129, 47, 131, 47, 136, 47, 155, 48, 49, 48, 50, 48, 51, 48, 52, 48, 53, 48, 54, 48, 55, 48, 56, 48, 57, 48, 58, 48, 59, 48, 60, 48, 62, 48, 63, 48, 64, 48, 65, 48, 66, 48, 67, 48, 68, 48, 69, 48, 70, 48, 71, 48, 72, 48, 74, 48, 76, 48, 78, 48, 79, 48, 81, 48, 82, 48, 83, 48, 85, 48, 86, 49, 50, 49, 51, 49, 52, 49, 53, 49, 54, 49, 55, 49, 56, 49, 57, 49, 58, 49, 59, 49, 60, 49, 62, 49, 63, 49, 64, 49, 65, 49, 66, 49, 67, 49, 68, 49, 69, 49, 70, 49, 71, 49, 72, 49, 74, 49, 76, 49, 78, 49, 79, 49, 81, 49, 82, 49, 83, 49, 85, 49, 86, 49, 87, 49, 90, 49, 95, 49, 96, 49, 98, 49, 101, 49, 103, 49, 105, 49, 107, 49, 108, 49, 112, 49, 116, 49, 126, 49, 128, 49, 129, 49, 131, 49, 136, 49, 155, 49, 165, 50, 51, 50, 52, 50, 53, 50, 54, 50, 55, 50, 56, 50, 57, 50, 58, 50, 59, 50, 60, 50, 61, 50, 62, 50, 63, 50, 64, 50, 65, 50, 66, 50, 67, 50, 68, 50, 69, 50, 70, 50, 71, 50, 72, 50, 74, 50, 76, 50, 78, 50, 79, 50, 81, 50, 82, 50, 83, 50, 85, 50, 86, 50, 87, 50, 88, 50, 90, 50, 95, 50, 96, 50, 98, 50, 101, 50, 102, 50, 103, 50, 105, 51, 52, 51, 53, 51, 54, 51, 55, 51, 56, 51, 57, 51, 58, 51, 59, 51, 60, 51, 61, 51, 62, 51, 63, 51, 64, 51, 65, 51, 66, 51, 67, 51, 68, 51, 69, 51, 70, 51, 71, 51, 72, 51, 74, 51, 76, 51, 78, 51, 79, 51, 81, 51, 82, 51, 83, 51, 85, 51, 86, 51, 87, 51, 88, 51, 90, 51, 94, 51, 95, 51, 96, 51, 98, 51, 101, 51, 102, 51, 103, 51, 105, 51, 106, 51, 107, 51, 108, 51, 112, 51, 116, 51, 126, 51, 128, 51, 129, 51, 131, 51, 136, 51, 155, 51, 165, 51, 168, 51, 175, 51, 211, 52, 53, 52, 54, 52, 55, 52, 56, 52, 57, 52, 58, 52, 59, 52, 60, 52, 61, 52, 62, 52, 63, 52, 64, 52, 65, 52, 66, 52, 67, 52, 68, 52, 69, 52, 70, 52, 71, 52, 72, 52, 74, 52, 76, 52, 78, 52, 79, 52, 81 }
{296,301,300,303,248,292,305,308,291,297,285,286,293,295,256,272,279,304,306,298,284,299,270,269,273,281,271,261,253,268,247,307,250,274,255,282,275,265,290,258,288,186,201,264,260,124,302,278,228,267,239,277,152,245,266,259,217,252,230,257,283,196,287,216,251,226,236,224,212,223,244,200,107,276,240,229,262,210,249,225,242,207,187,280,232,219,289,203,211,213,154,231,243,215,197,263,205,191,194,192,222,179,209,214,176,198,234,235,111,233,188,195,159,119,190,254,183,237,204,166,180,170,221,241,294,168,139,172,125,177,178,184,218,161,156,174,175,97,138,147,153,220,151,182,206,173,103,113,208,238,185,164,134,135,136,158,160,193,120,148,146,189,76,144,108,61,132,162,163,149,112,128,21,246,137,167,122,141,68,92,150,72,117,102,169,142,89,121,181,227,82,171,109,123,88,143,127,73,93,47,86,202,157,131,155,116,94,69,101,36,12,130,78,64,46,63,140,105,110,79,66,100,118,87,75,98,115,129,84,91,96,104,90,133,145,70,45,77,74,106,58,32,24,31,35,54,44,67,53,22,59,80,71,99,50,57,199,42,40,85,65,165,33,25,51,95,126,19,56,81,38,18,83,60,114,23,17,29,7,6,39,62,13,52,28,43,20,34,11,55,9,26,30,10,41,14,8,49,4,27,16,2,1,3,5,0,37,15,48}

{174,301,6,82,14,77,110,106,60,255,31,286,8,268,49,24,79,141,59,67,73,133,200,146,273,237,118,139,83,267,80,241,234,201,161,285,231,246,250,221,294,226,305,269,96,240,101,3,308,235,138,233,179,212,224,191,299,20,34,150,239,167,184,248,272,21,159,5,56,120,108,219,181,258,102,266,169,127,33,46,202,178,98,280,281,116,65,282,18,187,295,216,88,62,188,140,199,117,196,97,293,114,123,28,186,54,95,271,135,143,68,11,172,287,7,87,134,37,261,230,64,57,171,148,155,197,292,176,298,251,4,225,19,207,222,27,211,72,136,40,291,260,142,84,242,109,90,112,229,263,39,23,94,17,9,284,99,48,89,130,53,75,55,103,156,209,220,206,15,100,264,50,93,152,70,2,43,257,61,303,175,69,42,78,45,213,38,164,279,254,128,253,297,243,113,86,91,119,214,76,105,124,304,177,58,47,238,300,217,227,12,193,210,166,85,63,162,274,265,182,0,160,74,278,151,153,111,262,290,25,190,249,66,22,36,16,270,259,252,173,126,104,147,192,131,185,44,180,208,223,163,32,306,245,277,145,307,203,168,215,121,276,29,183,296,232,144,1,30,52,194,81,107,149,244,35,302,132,170,51,125,137,205,13,122,165,218,247,198,204,26,71,157,283,41,158,115,275,92,256,10,154,288,189,129,195,289,236,228}

Returns: {0, 4, 0, 30, 0, 41, 0, 101, 0, 104, 0, 135, 2, 4, 2, 5, 2, 8, 2, 10, 2, 14, 2, 28, 2, 30, 2, 41, 2, 42, 2, 45, 2, 72, 2, 137, 2, 162, 2, 165, 2, 172, 2, 210, 2, 278, 2, 279, 3, 4, 3, 5, 3, 8, 3, 10, 3, 11, 3, 14, 3, 15, 3, 22, 3, 23, 3, 27, 3, 28, 3, 30, 3, 32, 3, 41, 3, 42, 3, 45, 3, 52, 3, 72, 3, 108, 3, 137, 3, 146, 3, 162, 3, 179, 3, 186, 3, 190, 4, 5, 4, 8, 4, 10, 4, 11, 4, 14, 4, 15, 4, 16, 4, 22, 4, 23, 4, 27, 4, 28, 4, 30, 4, 32, 4, 41, 4, 42, 4, 45, 4, 48, 4, 52, 4, 61, 4, 72, 4, 108, 4, 113, 4, 137, 4, 146, 4, 162, 4, 165, 4, 172, 4, 199, 4, 209, 4, 210, 4, 267, 4, 271, 4, 276, 4, 295, 5, 8, 5, 9, 5, 10, 5, 11, 5, 14, 5, 15, 5, 16, 5, 20, 5, 22, 5, 23, 5, 26, 5, 27, 5, 28, 5, 29, 5, 30, 5, 32, 5, 34, 5, 41, 5, 42, 5, 45, 5, 48, 5, 50, 5, 52, 5, 56, 5, 61, 5, 71, 5, 72, 5, 82, 5, 90, 5, 108, 5, 113, 5, 137, 5, 146, 5, 162, 5, 165, 5, 179, 5, 186, 5, 190, 5, 194, 5, 200, 5, 212, 5, 237, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 14, 6, 15, 6, 16, 6, 20, 6, 22, 6, 23, 6, 24, 6, 26, 6, 27, 6, 28, 6, 29, 6, 30, 6, 32, 6, 34, 6, 41, 6, 42, 6, 45, 6, 48, 6, 50, 6, 52, 6, 56, 6, 61, 6, 63, 6, 68, 6, 71, 6, 72, 6, 82, 6, 90, 6, 101, 6, 104, 6, 108, 6, 113, 6, 126, 6, 128, 6, 137, 6, 146, 6, 147, 6, 162, 6, 218, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 7, 20, 7, 22, 7, 23, 7, 24, 7, 26, 7, 27, 7, 28, 7, 29, 7, 30, 7, 32, 7, 34, 7, 39, 7, 41, 7, 42, 7, 45, 7, 48, 7, 50, 7, 52, 7, 53, 7, 56, 7, 58, 7, 61, 7, 63, 7, 68, 7, 71, 7, 72, 7, 82, 7, 90, 7, 97, 7, 101, 7, 104, 7, 108, 7, 112, 7, 113, 7, 126, 7, 128, 7, 137, 7, 146, 7, 147, 7, 162, 7, 164, 7, 165, 7, 239, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 16, 8, 20, 8, 22, 8, 23, 8, 24, 8, 25, 8, 26, 8, 27, 8, 28, 8, 29, 8, 30, 8, 32, 8, 34, 8, 37, 8, 39, 8, 41, 8, 42, 8, 45, 8, 48, 8, 50, 8, 52, 8, 53, 8, 56, 8, 58, 8, 61, 8, 63, 8, 65, 8, 67, 8, 68, 8, 71, 8, 72, 8, 77, 8, 81, 8, 82, 8, 90, 8, 94, 8, 97, 8, 98, 8, 99, 8, 101, 8, 104, 8, 108, 8, 112, 8, 113, 8, 126, 8, 128, 8, 137, 8, 138, 8, 146, 8, 147, 8, 158, 8, 162, 8, 164, 8, 165, 8, 172, 8, 178, 8, 199, 8, 273, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 20, 9, 22, 9, 23, 9, 24, 9, 25, 9, 26, 9, 27, 9, 28, 9, 29, 9, 30, 9, 32, 9, 34, 9, 37, 9, 39, 9, 41, 9, 42, 9, 45, 9, 48, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 20, 10, 22, 10, 23, 10, 24, 10, 25, 10, 26, 10, 27, 10, 28, 10, 29, 10, 30, 10, 32, 10, 34, 10, 37, 10, 39, 10, 41, 10, 42, 10, 44, 10, 45, 10, 48, 10, 50, 10, 52, 10, 53, 10, 56, 10, 58, 10, 61, 10, 63, 10, 65, 10, 67, 10, 68, 10, 69, 10, 71, 10, 72, 10, 77, 10, 81, 10, 82, 10, 87, 10, 90, 10, 94, 10, 97, 10, 98, 10, 99, 10, 101, 10, 104, 10, 108, 10, 112, 10, 113, 10, 119, 10, 126, 10, 128, 10, 137, 10, 138, 10, 146, 10, 147, 10, 158, 10, 162, 10, 164, 10, 165, 10, 170, 10, 172, 10, 178, 10, 181, 10, 199, 10, 209, 10, 210, 10, 241, 10, 243, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 20, 11, 22, 11, 23, 11, 24, 11, 25, 12, 13, 12, 14, 12, 15, 12, 16, 12, 20, 12, 22, 12, 23, 12, 24, 12, 25, 12, 26, 12, 27, 12, 28, 12, 29, 12, 30, 12, 32, 12, 34, 12, 37, 12, 39, 12, 41, 12, 42, 12, 43, 12, 44, 12, 45, 12, 48, 12, 50, 12, 52, 12, 53, 12, 56, 12, 58, 12, 61, 12, 63, 12, 65, 12, 67, 12, 68, 12, 69, 12, 71, 12, 72, 12, 77, 12, 81, 12, 82, 12, 87, 12, 90, 12, 94, 12, 97, 12, 98, 12, 99, 12, 101, 12, 104, 12, 108, 12, 110, 12, 112, 12, 113, 12, 116, 12, 119, 12, 121, 12, 125, 12, 126, 12, 128, 12, 134, 12, 137, 12, 138, 12, 139, 12, 146, 12, 147, 12, 152, 12, 158, 12, 162, 12, 164, 12, 165, 12, 170, 12, 172, 12, 178, 12, 179, 12, 181, 12, 197, 12, 199, 12, 207, 12, 209, 12, 210, 12, 214, 12, 236, 12, 241, 12, 242, 12, 249, 12, 267, 12, 271, 12, 276, 12, 278, 12, 288, 12, 290, 12, 296, 13, 14, 13, 15, 13, 16, 13, 19, 13, 20, 13, 22, 13, 23, 13, 24, 13, 25, 13, 26, 13, 27, 13, 28, 13, 29, 13, 30, 13, 32, 13, 34, 13, 37, 13, 39, 13, 41, 13, 42, 14, 15, 14, 16, 14, 19, 14, 20, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 27, 14, 28, 14, 29, 14, 30, 14, 32, 14, 33, 14, 34, 14, 37, 14, 39, 14, 41, 14, 42, 14, 43, 14, 44, 14, 45, 14, 48, 14, 50, 14, 52, 14, 53, 14, 56, 14, 58, 14, 61, 14, 63, 14, 65, 14, 66, 14, 67, 14, 68, 14, 69, 14, 71, 14, 72, 14, 77, 14, 81, 14, 82, 14, 87, 14, 90, 14, 94, 14, 97, 14, 98, 14, 99, 14, 101, 14, 104, 14, 108, 14, 110, 14, 112, 14, 113, 14, 116, 14, 119, 14, 120, 14, 121, 14, 125, 14, 126, 14, 128, 14, 133, 14, 134, 14, 137, 14, 138, 14, 139, 14, 142, 14, 146, 14, 147, 14, 152, 14, 153, 14, 158, 14, 162, 14, 164, 14, 165, 14, 170, 14, 172, 14, 178, 14, 179, 14, 181, 14, 183, 14, 186, 14, 190, 14, 194, 14, 197, 14, 199, 14, 207, 14, 209, 14, 210, 14, 213, 14, 215, 14, 240, 14, 245, 14, 248, 14, 254, 14, 297, 15, 16, 15, 17, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 27, 15, 28, 15, 29, 15, 30, 15, 32, 15, 33, 15, 34, 15, 37, 15, 39, 15, 41, 15, 42, 15, 43, 15, 44, 15, 45, 15, 48, 15, 50, 15, 52, 15, 53, 15, 56, 15, 57, 15, 58, 15, 61, 15, 63, 15, 65, 15, 66, 15, 67, 15, 68, 15, 69, 15, 71, 15, 72, 15, 77, 15, 81, 15, 82, 15, 87, 15, 88, 15, 90, 15, 94, 15, 96, 15, 97, 15, 98, 15, 99, 15, 101, 15, 104, 15, 108, 15, 110, 15, 112, 15, 113, 15, 116, 15, 119, 15, 120, 15, 121, 15, 125, 15, 126, 15, 128, 15, 133, 15, 134, 15, 137, 15, 138, 15, 139, 15, 140, 15, 142, 15, 146, 15, 147, 15, 152, 15, 153, 15, 154, 15, 158, 15, 162, 15, 164, 15, 165, 15, 170, 15, 172, 15, 178, 15, 179, 15, 181, 15, 183, 15, 186, 15, 190, 15, 194, 15, 197, 15, 199, 15, 207, 15, 209, 15, 210, 15, 213, 15, 214, 15, 236, 15, 241, 15, 242, 15, 243, 15, 249, 16, 17, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 29, 16, 30, 16, 32, 16, 33, 16, 34, 16, 36, 16, 37, 16, 39, 16, 41, 16, 42, 16, 43, 16, 44, 16, 45, 16, 48, 16, 50, 16, 52, 16, 53, 16, 56, 16, 57, 16, 58, 16, 61, 16, 63, 16, 65, 16, 66, 16, 67, 16, 68, 16, 69, 16, 71, 16, 72, 16, 77, 16, 81, 16, 82, 16, 87, 16, 88, 16, 90, 16, 94, 16, 96, 16, 97, 16, 98, 16, 99, 16, 101, 16, 104, 16, 108, 16, 110, 16, 112, 16, 113, 16, 114, 16, 116, 16, 119, 16, 120, 16, 121, 16, 125, 16, 126, 16, 127, 16, 128, 16, 133, 16, 134, 16, 137, 16, 138, 16, 139, 16, 140, 16, 142, 16, 146, 16, 147, 16, 152, 16, 153, 16, 154, 16, 158, 16, 162, 16, 164, 16, 165, 16, 170, 16, 172, 16, 178, 16, 179, 16, 181, 16, 183, 16, 186, 16, 190, 16, 194, 16, 197, 16, 199, 16, 200, 16, 212, 16, 219, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 26, 17, 27, 17, 28, 17, 29, 17, 30, 17, 32, 17, 33, 17, 34, 17, 36, 17, 37, 17, 39, 17, 41, 17, 42, 17, 43, 17, 44, 17, 45, 17, 48, 17, 50, 17, 52, 17, 53, 17, 55, 17, 56, 17, 57, 17, 58, 17, 61, 17, 63, 17, 65, 17, 66, 17, 67, 17, 68, 17, 69, 17, 71, 17, 72, 17, 77, 17, 79, 17, 81, 17, 82, 17, 85, 17, 87, 17, 88, 17, 89, 17, 90, 17, 94, 17, 96, 17, 97, 17, 98, 17, 99, 17, 101, 17, 104, 17, 105, 17, 108, 17, 110, 17, 111, 17, 112, 17, 113, 17, 114, 17, 116, 17, 119, 17, 120, 17, 121, 17, 125, 17, 126, 17, 127, 17, 128, 17, 133, 17, 134, 17, 137, 17, 138, 17, 139, 17, 140, 17, 142, 17, 146, 17, 147, 17, 152, 17, 153, 17, 160, 17, 163, 17, 177, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 27, 18, 28, 18, 29, 18, 30, 18, 32, 18, 33, 18, 34, 18, 35, 18, 36, 18, 37, 18, 39, 18, 41, 18, 42, 18, 43, 18, 44, 18, 45, 18, 48, 18, 49, 18, 50, 18, 52, 18, 53, 18, 55, 18, 56, 18, 57, 18, 58, 18, 61, 18, 63, 18, 64, 18, 65, 18, 66, 18, 67, 18, 68, 18, 69, 18, 71, 18, 72, 18, 75, 18, 77, 18, 79, 18, 81, 18, 82, 18, 85, 18, 87, 18, 88, 18, 89, 18, 90, 18, 94, 18, 96, 18, 97, 18, 98, 18, 99, 18, 101, 18, 104, 18, 105, 18, 108, 18, 110, 18, 111, 18, 112, 18, 113, 18, 114, 18, 116, 18, 119, 18, 120, 18, 121, 18, 125, 18, 126, 18, 127, 18, 128, 18, 129, 18, 133, 18, 134, 18, 137, 18, 138, 18, 139, 18, 140, 18, 142, 18, 146, 18, 147, 18, 152, 18, 153, 18, 154, 18, 158, 18, 162, 18, 164, 18, 165, 18, 166, 18, 170, 18, 172, 18, 176, 18, 178, 18, 179, 18, 181, 18, 183, 18, 186, 18, 190, 18, 194, 18, 197, 18, 198, 18, 199, 18, 200, 18, 207, 18, 209, 18, 210, 18, 213, 18, 214, 18, 215, 18, 240, 18, 250, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 37, 19, 39, 19, 41, 19, 42, 19, 43, 19, 44, 19, 45, 19, 48, 19, 49, 19, 50, 19, 52, 19, 53, 19, 55, 19, 56, 19, 57, 19, 58, 19, 59, 19, 61, 19, 63, 19, 64, 19, 65, 19, 66, 19, 67, 19, 68, 19, 69, 19, 70, 19, 71, 19, 72, 19, 75, 19, 77, 19, 79, 19, 81, 19, 82, 19, 85, 19, 87, 19, 88, 19, 89, 19, 90, 19, 93, 19, 94, 19, 96, 19, 97, 19, 98, 19, 99, 19, 101, 19, 104, 19, 105, 19, 108, 19, 110, 19, 111, 19, 112, 19, 113, 19, 114, 19, 116, 19, 119, 19, 120, 19, 121, 19, 125, 19, 126, 19, 127, 19, 128, 19, 129, 19, 130, 19, 133, 19, 134, 19, 137, 19, 138, 19, 139, 19, 140, 19, 142, 19, 146, 19, 147, 19, 152, 19, 153, 19, 154, 19, 158, 19, 162, 19, 164, 19, 165, 19, 166, 19, 170, 19, 171, 19, 172, 19, 176, 19, 178, 19, 179, 19, 181, 19, 182, 19, 183, 19, 186, 19, 190, 19, 194, 19, 197, 19, 198, 19, 199, 19, 200, 19, 207, 19, 209, 19, 210, 19, 213, 19, 214, 19, 215, 19, 247, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 30, 20, 32, 20, 33, 20, 34, 20, 35, 20, 36, 20, 37, 20, 39, 20, 41, 20, 42, 20, 43, 20, 44, 20, 45, 20, 48, 20, 49, 20, 50, 20, 52, 20, 53, 20, 55, 20, 56, 20, 57, 20, 58, 20, 59, 20, 61, 20, 63, 20, 64, 20, 65, 20, 66, 20, 67, 20, 68, 20, 69, 20, 70, 20, 71, 20, 72, 20, 75, 20, 77, 20, 79, 20, 81, 20, 82, 20, 85, 20, 87, 20, 88, 20, 89, 20, 90, 20, 93, 20, 94, 20, 96, 20, 97, 20, 98, 20, 99, 20, 101, 20, 104, 20, 105, 20, 108, 20, 110, 20, 111, 20, 112, 20, 113, 20, 114, 20, 116, 20, 119, 20, 120, 20, 121, 20, 125, 20, 126, 20, 127, 20, 128, 20, 129, 20, 130, 20, 133, 20, 134, 20, 135, 20, 136, 20, 137, 20, 138, 20, 139, 20, 140, 20, 142, 20, 146, 20, 147, 20, 152, 20, 153, 20, 154, 20, 158, 20, 159, 20, 160, 20, 162, 20, 164, 20, 165, 20, 166, 20, 170, 20, 171, 20, 172, 20, 176, 20, 178, 20, 179, 20, 181, 20, 182, 20, 183, 20, 186, 20, 190, 20, 192, 20, 194, 20, 197, 20, 198, 20, 199, 20, 200, 20, 207, 20, 209, 20, 210, 20, 213, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36 }
{434,398,257,443,388,375,433,35,293,419,364,385,357,395,244,309,410,412,351,431,421,404,415,406,418,439,137,313,338,429,66,417,360,436,382,440,264,315,425,367,270,445,320,446,416,423,435,441,348,362,336,409,427,422,169,442,383,342,399,430,233,411,297,340,408,156,393,378,347,437,369,424,349,208,372,331,226,124,326,343,356,271,135,256,363,287,403,286,285,420,394,324,229,13,153,279,291,335,185,317,330,268,428,339,118,204,432,352,380,373,387,252,186,254,327,308,172,44,181,359,165,228,155,295,83,160,222,333,251,328,426,171,318,379,381,274,307,401,407,438,245,151,273,288,376,176,325,211,200,170,366,184,402,280,247,267,344,319,396,275,377,166,125,20,405,365,97,370,355,384,243,224,49,321,189,314,111,337,163,371,413,108,259,296,197,260,120,354,361,70,316,323,389,47,289,154,306,386,173,284,206,76,122,239,221,281,143,242,218,116,277,231,220,345,341,168,253,230,248,183,129,138,216,263,400,391,283,234,346,205,140,104,232,312,249,106,162,266,310,31,237,219,149,202,146,141,305,390,18,397,227,82,115,269,235,209,167,74,9,134,255,332,72,148,190,334,178,5,262,187,329,51,130,358,193,87,159,99,7,113,195,95,238,191,304,261,444,282,225,157,303,61,213,175,201,353,71,212,246,128,182,133,278,368,236,294,69,86,32,29,60,94,68,147,144,28,292,131,77,302,223,132,210,152,93,322,11,26,374,188,90,110,290,57,127,14,59,45,119,38,48,142,12,199,139,40,78,117,240,79,25,91,4,241,174,112,158,101,150,39,37,214,217,265,19,96,55,311,63,207,164,84,105,192,56,54,123,301,53,27,196,100,194,250,102,6,107,298,114,64,73,36,16,67,180,52,89,161,50,392,80,42,272,3,276,15,21,88,34,103,350,98,121,58,136,30,414,179,126,1,22,17,43,145,300,92,85,46,109,203,177,258,23,0,62,299,24,198,8,41,215,81,65,75,33,10,2}

{138,272,61,443,239,64,433,35,194,419,307,120,233,256,408,122,288,11,94,431,343,20,136,406,418,284,42,209,168,257,66,262,301,163,382,422,338,255,149,305,151,442,412,319,3,210,241,13,317,331,111,186,446,440,116,445,60,342,17,147,196,217,218,69,302,21,252,220,115,177,435,424,142,40,310,160,227,89,404,67,254,83,135,269,363,87,403,25,245,140,131,179,415,216,51,71,109,335,129,79,107,195,283,15,133,251,370,357,70,367,106,359,7,356,380,313,80,44,102,398,154,286,18,326,264,425,49,333,100,185,426,171,201,312,14,235,364,229,37,376,285,374,5,265,405,291,354,39,393,12,208,9,402,159,117,74,259,381,358,72,237,166,125,320,429,387,297,108,84,90,207,130,134,349,52,38,97,336,337,322,156,441,46,345,178,113,321,34,165,193,278,85,30,99,48,316,385,386,173,211,8,23,58,263,188,281,143,236,274,86,439,231,395,373,308,413,213,95,350,93,253,244,228,247,420,26,389,436,226,24,384,63,369,190,32,311,197,306,68,27,91,417,366,62,394,334,355,390,155,266,2,330,214,295,206,148,167,230,184,29,187,56,250,92,372,294,157,299,277,271,242,361,246,396,365,204,183,118,409,41,53,104,238,191,304,77,164,36,430,290,275,248,293,126,327,344,112,212,101,16,399,162,198,200,353,340,189,169,176,225,22,339,202,400,144,224,174,105,175,325,223,57,4,152,292,132,234,377,352,98,150,110,348,59,127,273,371,360,428,427,444,114,47,199,96,243,121,388,123,318,261,19,128,401,146,368,158,172,205,434,421,219,411,88,391,215,55,50,282,437,222,296,170,65,78,6,28,347,268,328,81,287,383,397,182,309,124,298,181,279,73,54,300,82,180,153,314,161,192,392,332,232,324,260,276,270,119,137,249,103,438,423,410,280,76,267,414,416,323,1,341,346,43,145,407,45,432,329,362,203,221,258,379,0,31,375,303,315,378,141,351,289,240,75,33,10,139}

Returns: {0, 1, 0, 2, 0, 14, 0, 54, 0, 65, 0, 94, 0, 141, 0, 206, 0, 221, 1, 2, 1, 4, 1, 5, 1, 8, 1, 85, 1, 87, 1, 88, 1, 95, 1, 135, 1, 142, 1, 402, 2, 4, 2, 5, 2, 8, 2, 10, 2, 12, 2, 14, 2, 26, 2, 30, 2, 291, 4, 5, 4, 8, 4, 10, 4, 12, 4, 14, 4, 15, 4, 26, 4, 54, 4, 170, 4, 203, 5, 6, 5, 8, 5, 10, 5, 11, 5, 12, 5, 14, 5, 15, 5, 18, 5, 26, 5, 30, 5, 77, 5, 104, 5, 124, 5, 189, 5, 291, 5, 389, 6, 8, 8, 9, 8, 10, 8, 11, 8, 12, 8, 14, 8, 15, 8, 18, 8, 26, 8, 27, 8, 30, 8, 36, 8, 54, 8, 60, 8, 73, 8, 105, 8, 148, 8, 184, 8, 280, 8, 382, 9, 10, 10, 11, 10, 12, 10, 14, 10, 15, 10, 18, 10, 26, 10, 27, 10, 28, 10, 30, 10, 36, 10, 115, 10, 136, 11, 12, 11, 13, 11, 14, 11, 15, 11, 18, 11, 26, 11, 27, 11, 28, 11, 30, 11, 36, 11, 40, 11, 54, 11, 60, 11, 65, 11, 77, 11, 82, 11, 104, 11, 186, 12, 13, 12, 14, 12, 15, 12, 18, 12, 26, 12, 27, 12, 28, 12, 30, 12, 36, 12, 37, 12, 40, 12, 54, 12, 60, 12, 65, 12, 73, 13, 14, 13, 15, 13, 18, 13, 26, 13, 27, 13, 28, 13, 30, 13, 36, 13, 37, 13, 40, 13, 54, 13, 60, 13, 65, 13, 73, 13, 83, 14, 16, 14, 51, 14, 64, 15, 18, 15, 26, 15, 27, 15, 28, 15, 30, 15, 32, 15, 36, 15, 37, 15, 40, 15, 42, 15, 54, 15, 60, 15, 62, 15, 65, 15, 73, 15, 76, 15, 77, 15, 82, 15, 104, 15, 162, 15, 186, 15, 202, 16, 17, 16, 18, 16, 26, 16, 27, 16, 28, 16, 30, 16, 32, 16, 36, 16, 37, 16, 40, 16, 42, 16, 50, 16, 54, 16, 60, 16, 62, 16, 65, 16, 85, 16, 96, 16, 143, 17, 18, 17, 21, 17, 26, 17, 27, 17, 28, 17, 30, 17, 32, 17, 36, 17, 37, 17, 40, 17, 42, 17, 48, 17, 50, 17, 54, 17, 60, 17, 62, 17, 65, 17, 73, 17, 76, 17, 77, 17, 82, 17, 93, 17, 326, 18, 19, 18, 20, 18, 21, 18, 23, 18, 26, 18, 27, 18, 28, 18, 30, 18, 32, 18, 34, 18, 36, 18, 37, 18, 40, 18, 42, 18, 48, 18, 50, 18, 54, 18, 60, 18, 62, 18, 65, 18, 73, 18, 76, 18, 77, 18, 82, 18, 93, 18, 94, 18, 104, 18, 124, 18, 166, 18, 281, 18, 311, 19, 20, 20, 21, 20, 22, 20, 23, 20, 26, 20, 27, 20, 28, 20, 30, 20, 32, 20, 34, 20, 36, 20, 37, 20, 39, 20, 40, 20, 42, 20, 48, 20, 50, 20, 54, 20, 68, 20, 79, 21, 22, 21, 23, 21, 26, 21, 27, 21, 28, 21, 30, 21, 32, 21, 34, 21, 36, 21, 37, 21, 39, 21, 40, 21, 42, 21, 48, 21, 50, 21, 54, 21, 57, 21, 60, 21, 62, 21, 65, 21, 73, 21, 76, 21, 77, 21, 82, 21, 83, 21, 92, 21, 93, 21, 94, 21, 104, 21, 117, 21, 163, 22, 23, 22, 24, 22, 26, 22, 27, 22, 28, 22, 30, 22, 32, 22, 34, 22, 36, 22, 37, 22, 39, 22, 40, 22, 42, 22, 48, 22, 49, 22, 50, 22, 54, 22, 57, 22, 60, 22, 62, 22, 65, 22, 73, 22, 76, 22, 77, 22, 81, 22, 82, 22, 83, 22, 92, 22, 93, 22, 94, 22, 98, 22, 104, 22, 117, 22, 122, 22, 124, 22, 414, 23, 24, 23, 26, 23, 27, 23, 28, 23, 30, 24, 26, 24, 27, 25, 26, 25, 27, 25, 28, 25, 30, 25, 32, 25, 34, 25, 36, 25, 37, 25, 39, 25, 40, 25, 42, 25, 48, 25, 49, 25, 50, 25, 54, 25, 57, 25, 60, 25, 62, 25, 63, 25, 65, 25, 73, 25, 75, 25, 76, 25, 77, 25, 81, 25, 85, 25, 87, 25, 88, 25, 95, 25, 199, 26, 27, 26, 28, 26, 30, 26, 32, 26, 34, 26, 36, 26, 37, 26, 39, 26, 40, 26, 42, 26, 48, 26, 49, 26, 50, 26, 54, 26, 57, 26, 60, 26, 62, 26, 63, 26, 65, 26, 73, 26, 75, 26, 76, 26, 77, 26, 81, 26, 82, 26, 83, 26, 92, 26, 93, 26, 94, 26, 98, 26, 104, 26, 116, 26, 117, 26, 120, 26, 122, 26, 124, 26, 141, 26, 162, 26, 163, 26, 401, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 34, 27, 36, 27, 37, 27, 39, 27, 40, 27, 42, 27, 48, 27, 49, 27, 50, 27, 54, 27, 57, 27, 60, 27, 62, 27, 63, 27, 65, 27, 73, 27, 75, 27, 76, 27, 77, 27, 78, 27, 81, 27, 82, 27, 83, 27, 92, 27, 93, 27, 94, 27, 98, 27, 104, 27, 126, 27, 147, 27, 255, 28, 29, 28, 30, 28, 31, 28, 32, 28, 34, 28, 36, 28, 37, 28, 39, 28, 40, 28, 42, 28, 48, 28, 49, 28, 50, 28, 54, 28, 57, 28, 60, 28, 62, 28, 63, 28, 65, 28, 68, 28, 73, 28, 75, 28, 76, 28, 77, 28, 78, 28, 81, 28, 82, 28, 83, 28, 85, 28, 87, 28, 88, 28, 92, 28, 93, 28, 94, 28, 98, 28, 104, 28, 105, 28, 112, 28, 116, 28, 117, 28, 120, 28, 215, 29, 30, 29, 31, 29, 32, 29, 34, 29, 36, 29, 37, 29, 39, 29, 40, 29, 42, 29, 48, 29, 49, 29, 50, 29, 54, 29, 57, 29, 60, 29, 62, 29, 63, 29, 65, 29, 68, 29, 72, 29, 73, 29, 75, 29, 76, 29, 77, 29, 78, 29, 81, 29, 82, 29, 83, 29, 85, 29, 87, 29, 88, 29, 92, 29, 93, 29, 94, 29, 98, 29, 104, 30, 31, 30, 32, 30, 34, 30, 36, 30, 37, 30, 39, 30, 40, 30, 42, 30, 48, 30, 49, 30, 50, 30, 54, 30, 57, 30, 60, 30, 62, 30, 63, 30, 65, 30, 68, 30, 72, 30, 73, 30, 75, 30, 76, 30, 77, 30, 78, 30, 81, 30, 82, 30, 83, 30, 85, 30, 87, 30, 88, 30, 92, 30, 93, 30, 94, 30, 98, 30, 101, 30, 104, 30, 105, 30, 112, 30, 116, 30, 117, 30, 118, 30, 120, 30, 122, 30, 124, 30, 141, 30, 162, 30, 163, 30, 166, 30, 176, 30, 181, 30, 189, 30, 201, 30, 257, 30, 262, 30, 291, 30, 306, 30, 312, 30, 389, 31, 32, 31, 34, 31, 36, 31, 37, 31, 39, 31, 40, 31, 42, 31, 48, 31, 49, 31, 50, 31, 54, 31, 56, 31, 57, 31, 60, 31, 62, 31, 63, 31, 65, 31, 68, 31, 72, 31, 73, 31, 75, 31, 76, 31, 77, 31, 78, 31, 81, 31, 82, 31, 83, 31, 85, 31, 87, 31, 88, 31, 92, 31, 93, 31, 94, 31, 95, 31, 98, 31, 101, 31, 104, 31, 105, 31, 223, 31, 268, 32, 33, 32, 34, 32, 36, 32, 37, 32, 39, 32, 40, 32, 42, 32, 48, 32, 49, 32, 50, 32, 54, 32, 56, 32, 57, 32, 60, 32, 62, 32, 63, 32, 65, 32, 68, 32, 72, 32, 73, 32, 75, 32, 76, 32, 77, 32, 78, 32, 81, 32, 82, 32, 83, 32, 85, 32, 87, 32, 88, 32, 92, 32, 93, 32, 115, 32, 136, 32, 196, 32, 246, 32, 284, 32, 290, 32, 319, 32, 377, 33, 34, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 42, 33, 48, 33, 49, 33, 50, 33, 54, 33, 56, 33, 57, 33, 60, 33, 62, 33, 63, 33, 65, 33, 68, 33, 72, 33, 73, 33, 75, 33, 76, 33, 77, 33, 78, 33, 79, 33, 81, 33, 82, 33, 83, 33, 85, 33, 87, 33, 88, 33, 91, 33, 92, 33, 93, 33, 94, 33, 95, 33, 98, 33, 101, 33, 104, 33, 105, 33, 111, 33, 112, 33, 116, 33, 117, 33, 118, 33, 120, 33, 122, 33, 124, 33, 178, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 42, 34, 44, 34, 48, 34, 49, 34, 50, 34, 54, 34, 56, 34, 57, 34, 60, 34, 62, 34, 63, 35, 36, 35, 37, 35, 38, 35, 39, 35, 40, 35, 45, 35, 53, 36, 37, 36, 38, 36, 39, 36, 40, 36, 42, 36, 44, 36, 48, 36, 49, 36, 50, 36, 51, 36, 54, 36, 56, 36, 57, 36, 60, 36, 62, 36, 63, 36, 65, 36, 68, 36, 72, 36, 73, 36, 75, 36, 76, 36, 77, 36, 78, 36, 79, 36, 81, 36, 82, 36, 83, 36, 85, 37, 38, 37, 39, 37, 40, 37, 42, 37, 44, 37, 48, 37, 49, 37, 50, 37, 51, 37, 54, 37, 56, 37, 57, 37, 60, 37, 62, 37, 63, 37, 65, 37, 67, 37, 68, 37, 70, 37, 72, 37, 73, 37, 75, 37, 76, 37, 77, 37, 78, 37, 79, 37, 81, 37, 82, 37, 83, 37, 85, 37, 87, 37, 88, 37, 91, 37, 92, 37, 93, 37, 94, 37, 95, 37, 96, 37, 98, 37, 101, 37, 104, 37, 105, 37, 111, 37, 155, 37, 182, 37, 260, 38, 39, 38, 40, 38, 42, 38, 44, 38, 45, 38, 48, 38, 49, 38, 50, 38, 51, 38, 54, 38, 56, 38, 57, 38, 58, 38, 60, 38, 62, 38, 63, 38, 65, 38, 67, 38, 68, 38, 70, 38, 72, 38, 73, 38, 75, 38, 76, 38, 77, 38, 78, 38, 79, 38, 81, 38, 82, 38, 83, 38, 85, 38, 87, 38, 88, 38, 91, 38, 92, 38, 93, 38, 94, 38, 95, 38, 96, 38, 98, 38, 101, 38, 104, 38, 105, 38, 111, 38, 112, 38, 116, 38, 117, 38, 118, 38, 120, 38, 122, 38, 124, 38, 125, 38, 141, 38, 162, 38, 163, 38, 206, 38, 242, 39, 40, 39, 42, 39, 44, 39, 45, 39, 48, 39, 49, 39, 50, 39, 51, 39, 54, 39, 56, 39, 57, 39, 58, 39, 60, 39, 62, 39, 63, 39, 65, 39, 67, 39, 68, 39, 70, 39, 72, 39, 73, 39, 75, 39, 76, 39, 77, 39, 78, 39, 79, 39, 80, 39, 81, 39, 82, 39, 83, 39, 85, 39, 87, 39, 88, 39, 91, 39, 92, 39, 93, 39, 94, 39, 95, 39, 96, 39, 115, 39, 136, 39, 196, 39, 246, 39, 284, 40, 42, 40, 44, 40, 45, 40, 48, 40, 49, 40, 50, 40, 51, 40, 54, 40, 56, 40, 57, 40, 58, 40, 60, 40, 62, 40, 63, 40, 65, 40, 66, 40, 67, 40, 68, 40, 70, 40, 72, 40, 73, 40, 74, 40, 75, 40, 76, 40, 77, 40, 78, 40, 79, 40, 80, 40, 81, 40, 82, 40, 83, 40, 85, 40, 87, 40, 88, 40, 91, 40, 92, 40, 93, 40, 94, 40, 95, 40, 96, 40, 98, 40, 101, 40, 104, 40, 105, 40, 111, 40, 112, 40, 113, 40, 116, 40, 117, 40, 118, 40, 120, 40, 122, 40, 124, 40, 125, 40, 131, 40, 141, 40, 162, 40, 163, 40, 195, 40, 206, 40, 242, 41, 55, 42, 44, 42, 45, 42, 46, 42, 48, 42, 49, 42, 50, 42, 51, 42, 54, 42, 56, 42, 57, 42, 58, 43, 44, 43, 45, 43, 46, 43, 48, 43, 49, 43, 50, 43, 51, 43, 53, 43, 54, 43, 56, 43, 57, 43, 58, 43, 60, 43, 62, 43, 63, 43, 65, 43, 66, 43, 67, 43, 68, 43, 70, 43, 72, 43, 73, 43, 74, 43, 75, 43, 76, 43, 77, 43, 78, 43, 79, 43, 80, 43, 81, 43, 82, 43, 83, 43, 85, 43, 87, 43, 88, 43, 91, 43, 92, 43, 93, 43, 94, 43, 95, 43, 96, 43, 98, 43, 157, 44, 45, 44, 46, 44, 48, 44, 49, 44, 50, 44, 51, 44, 52, 44, 53, 44, 54, 44, 56, 44, 57, 44, 58, 44, 60, 44, 61, 44, 62, 44, 63, 44, 65, 44, 66, 44, 67, 44, 68, 44, 70, 44, 72, 44, 73, 44, 74, 44, 75, 44, 76, 44, 77, 44, 78, 44, 79, 44, 80, 44, 81, 44, 82, 44, 83, 44, 85, 44, 87, 44, 88, 44, 91, 44, 92, 44, 93, 44, 94, 44, 95, 44, 96, 44, 98, 44, 99, 44, 101, 44, 104, 44, 105, 44, 111, 44, 112, 44, 113, 44, 116, 44, 117, 44, 118, 44, 120, 44, 122, 44, 124, 44, 125, 44, 131, 44, 141, 44, 149, 44, 161, 44, 162, 44, 163, 44, 166, 44, 172, 44, 193, 44, 239, 44, 248, 44, 258, 44, 267, 44, 352, 44, 403, 45, 46, 45, 48, 45, 49, 45, 50, 45, 51, 45, 52, 45, 53, 45, 54, 45, 56, 45, 57, 45, 58, 45, 60, 45, 61, 45, 62, 45, 63, 45, 64, 45, 65, 45, 66, 45, 67, 45, 68, 45, 70, 45, 72, 45, 73, 45, 74, 45, 75, 45, 76, 45, 77, 45, 78, 45, 79, 45, 80, 45, 81, 45, 82, 45, 83, 45, 85, 45, 87, 45, 88, 45, 91, 45, 92, 45, 93, 45, 94, 45, 95, 45, 96, 45, 98, 45, 99, 45, 101, 45, 104, 45, 105, 45, 111, 45, 112, 45, 113, 45, 116, 45, 117, 45, 118, 45, 120, 45, 121, 45, 126, 45, 147, 45, 204, 45, 208, 45, 222, 45, 255, 45, 322, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 53, 46, 54, 46, 56, 46, 57, 46, 58, 46, 60, 46, 61, 46, 62, 46, 63, 46, 64, 46, 65, 46, 66, 46, 67, 46, 68, 46, 70, 46, 72, 46, 73, 46, 74, 46, 75, 46, 76, 46, 77, 46, 78, 46, 79, 46, 80, 46, 81, 46, 82, 46, 83, 46, 85, 46, 87, 46, 88, 46, 91, 46, 92, 46, 93, 46, 94, 46, 95, 46, 96, 46, 97, 46, 98, 46, 99, 46, 101, 46, 104, 46, 105, 46, 111, 46, 112, 46, 113, 46, 116, 46, 117, 46, 118, 46, 120, 46, 128, 46, 140, 46, 170, 46, 203, 46, 207, 46, 353, 47, 48, 47, 49, 47, 50, 47, 51, 47, 52, 47, 53, 47, 54, 47, 56, 47, 57, 47, 58, 47, 60, 47, 61, 47, 62, 47, 63, 47, 64, 47, 65, 47, 66, 47, 67, 47, 68, 47, 70, 47, 72, 47, 73, 47, 74, 47, 75, 47, 76, 47, 77, 47, 78, 47, 79, 47, 80, 47, 81, 47, 82, 47, 83, 47, 85, 47, 87, 47, 88, 47, 91, 47, 92, 47, 93, 47, 94, 47, 95, 47, 96 }
{448,450,446,438,361,427,365,412,443,424,431,449,435,337,445,220,432,343,366,426,421,393,367,147,307,246,413,430,411,415,441,364,406,23,377,381,422,389,436,175,417,398,440,218,297,419,444,236,391,416,340,439,322,370,390,362,296,395,318,353,388,383,385,375,306,418,409,125,301,434,323,394,410,92,369,302,325,404,215,357,387,313,382,287,386,298,275,334,371,405,106,223,317,319,232,428,408,145,349,304,315,166,447,316,321,169,331,400,247,335,177,45,248,295,399,379,376,138,213,174,332,358,336,62,274,293,173,372,309,53,363,96,326,288,396,320,345,176,261,292,219,186,356,342,93,354,425,311,256,172,329,273,374,310,392,339,397,414,348,305,279,80,49,237,212,437,58,130,384,277,204,429,262,276,222,289,308,403,286,257,160,312,221,328,270,203,282,373,183,290,253,265,285,240,210,16,263,280,233,195,202,146,143,242,99,333,291,108,378,350,224,380,281,401,179,168,207,205,227,271,137,226,192,347,344,142,216,153,352,21,299,167,69,258,132,198,81,163,278,250,73,149,165,48,407,230,229,208,351,268,161,225,180,199,228,157,420,235,197,121,74,42,423,442,267,327,8,238,32,314,33,156,254,144,4,249,119,251,122,20,209,190,214,330,109,355,234,178,28,159,154,35,194,67,244,245,182,266,196,136,193,181,61,155,17,252,15,200,359,402,158,241,272,191,2,97,260,140,433,123,126,185,89,368,269,150,100,338,83,110,184,90,78,341,91,217,151,139,128,206,324,303,189,211,82,129,131,22,88,6,141,162,116,152,300,201,134,105,264,346,59,164,18,68,75,27,3,55,188,79,124,127,9,243,101,239,39,360,64,114,135,43,60,38,284,231,70,171,44,51,0,40,65,7,26,10,11,14,63,170,118,71,36,133,115,57,87,46,95,113,31,107,117,25,112,94,41,84,37,77,19,255,104,50,5,29,187,66,294,52,13,86,102,259,283,56,34,72,24,54,103,47,76,148,120,111,85,1,98,12,30}

{287,75,446,20,169,285,361,372,422,424,352,83,236,207,365,73,432,332,147,203,354,195,156,325,2,81,209,258,37,322,395,23,39,133,343,370,280,295,15,158,118,93,18,218,288,179,64,143,189,390,340,439,360,220,94,356,296,300,201,331,70,364,30,3,82,376,284,48,301,404,304,394,105,114,385,240,443,234,418,180,384,309,159,78,160,249,60,208,248,273,246,5,253,206,232,138,59,145,224,191,430,216,126,316,238,333,153,63,408,260,177,45,196,383,0,388,431,176,165,128,368,25,131,163,274,293,233,281,193,53,263,84,164,14,398,425,90,49,56,150,174,134,358,342,17,116,311,155,434,405,36,125,219,310,109,89,267,265,314,349,251,444,272,12,157,264,417,269,373,185,152,317,348,276,74,289,149,227,103,320,21,231,144,335,416,426,282,141,306,302,184,413,213,261,168,16,369,266,351,399,34,87,367,221,6,362,170,197,154,403,290,363,407,43,312,127,66,32,313,19,76,226,192,347,279,319,259,228,173,428,202,239,69,210,200,55,102,225,38,250,8,308,256,186,230,437,41,375,381,268,123,377,380,400,436,242,420,235,151,4,77,42,423,442,217,397,329,62,214,371,33,212,129,199,104,298,337,31,58,359,110,307,406,277,204,35,113,387,28,162,355,389,345,122,410,341,215,136,101,10,318,205,106,275,130,252,108,292,450,402,323,241,327,291,92,27,415,140,194,91,223,378,190,198,100,161,181,178,330,120,445,401,142,441,95,379,245,40,382,297,112,429,262,96,334,51,386,22,107,99,68,326,175,243,396,440,315,85,172,346,182,222,271,270,50,97,211,79,344,286,391,433,9,374,392,427,124,393,305,409,117,283,88,278,447,237,67,171,13,61,167,139,57,7,438,419,11,366,119,188,254,71,353,183,24,65,412,46,328,303,421,187,324,86,350,29,321,135,299,448,26,257,121,80,137,115,411,435,294,52,44,146,166,336,338,132,414,72,1,54,244,229,449,148,247,47,255,339,98,357,111}

Returns: {0, 2, 0, 3, 0, 4, 0, 13, 0, 24, 0, 44, 0, 56, 0, 83, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 13, 1, 15, 1, 23, 1, 67, 1, 73, 1, 161, 1, 332, 1, 364, 2, 3, 2, 4, 3, 4, 3, 5, 3, 6, 3, 7, 3, 13, 3, 15, 3, 17, 3, 23, 3, 33, 3, 229, 3, 279, 4, 5, 4, 6, 4, 7, 4, 9, 4, 13, 4, 15, 4, 17, 4, 23, 4, 24, 4, 25, 4, 33, 4, 39, 4, 105, 5, 6, 5, 7, 5, 9, 5, 13, 5, 15, 5, 17, 5, 23, 5, 24, 5, 25, 5, 44, 5, 56, 5, 83, 5, 113, 5, 125, 5, 133, 5, 178, 5, 192, 6, 7, 6, 8, 6, 9, 6, 10, 6, 13, 6, 15, 6, 17, 6, 18, 6, 23, 6, 24, 7, 8, 7, 9, 7, 10, 7, 12, 7, 13, 7, 15, 7, 17, 7, 18, 7, 21, 7, 34, 7, 63, 7, 127, 8, 9, 8, 10, 8, 12, 8, 13, 8, 15, 8, 17, 8, 18, 8, 36, 9, 10, 9, 12, 9, 13, 9, 15, 9, 16, 9, 17, 9, 18, 9, 19, 9, 36, 10, 11, 10, 12, 10, 13, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 20, 10, 21, 10, 22, 10, 23, 10, 24, 10, 31, 10, 55, 10, 59, 10, 228, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 33, 11, 39, 11, 43, 11, 67, 11, 73, 11, 90, 11, 131, 11, 144, 11, 161, 11, 322, 11, 328, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 31, 12, 33, 12, 39, 12, 47, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 23, 13, 24, 13, 25, 13, 31, 13, 33, 13, 39, 13, 43, 13, 67, 13, 78, 13, 118, 13, 164, 13, 194, 13, 216, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 28, 14, 31, 14, 33, 14, 39, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 28, 15, 31, 15, 32, 15, 33, 15, 39, 15, 43, 15, 44, 15, 47, 15, 67, 15, 73, 15, 90, 15, 131, 15, 144, 15, 161, 15, 236, 15, 240, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 26, 17, 28, 17, 31, 17, 32, 17, 33, 17, 34, 17, 35, 17, 39, 17, 43, 17, 44, 17, 47, 17, 87, 17, 120, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 28, 18, 29, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 37, 18, 39, 18, 43, 18, 44, 18, 47, 18, 50, 18, 52, 18, 56, 18, 64, 18, 67, 18, 73, 18, 78, 18, 90, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 37, 19, 39, 19, 43, 19, 44, 19, 47, 19, 50, 19, 52, 19, 56, 19, 58, 19, 64, 19, 67, 19, 68, 19, 73, 19, 78, 19, 90, 19, 118, 19, 164, 19, 170, 19, 185, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 37, 20, 39, 20, 43, 20, 44, 20, 47, 20, 50, 20, 55, 20, 59, 20, 79, 20, 142, 20, 145, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 37, 21, 39, 21, 41, 21, 43, 21, 44, 21, 47, 21, 50, 21, 52, 21, 56, 21, 58, 21, 64, 21, 67, 21, 68, 21, 73, 21, 78, 21, 90, 21, 118, 21, 164, 21, 170, 21, 185, 21, 199, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 37, 22, 39, 22, 41, 22, 43, 22, 44, 22, 47, 22, 50, 22, 52, 22, 55, 22, 56, 22, 58, 22, 64, 22, 67, 22, 68, 22, 73, 22, 75, 22, 78, 22, 83, 22, 86, 22, 90, 22, 91, 22, 101, 22, 180, 22, 255, 22, 271, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 37, 23, 39, 23, 41, 23, 43, 23, 44, 23, 47, 23, 48, 23, 50, 23, 52, 23, 53, 23, 55, 23, 56, 23, 58, 23, 64, 23, 76, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 37, 24, 39, 24, 41, 24, 43, 24, 44, 24, 47, 24, 48, 24, 50, 24, 52, 24, 53, 24, 55, 24, 56, 24, 58, 24, 59, 24, 64, 24, 67, 24, 68, 24, 73, 24, 75, 24, 78, 24, 83, 24, 85, 24, 86, 24, 90, 24, 91, 24, 94, 24, 97, 24, 111, 24, 195, 24, 266, 24, 274, 24, 314, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 39, 25, 41, 25, 43, 25, 44, 25, 47, 25, 48, 25, 50, 25, 52, 25, 53, 25, 55, 25, 56, 25, 58, 25, 59, 25, 64, 25, 67, 25, 68, 25, 73, 25, 75, 25, 78, 25, 83, 25, 85, 25, 86, 25, 90, 25, 91, 25, 94, 25, 97, 25, 101, 25, 105, 25, 111, 25, 117, 25, 131, 25, 144, 25, 161, 25, 236, 25, 240, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 39, 26, 40, 26, 41, 26, 43, 26, 44, 26, 47, 26, 48, 26, 50, 26, 52, 26, 53, 26, 54, 26, 55, 26, 56, 26, 58, 26, 59, 26, 64, 26, 67, 26, 68, 26, 70, 26, 73, 26, 75, 26, 78, 26, 83, 26, 85, 26, 86, 26, 90, 26, 91, 26, 94, 26, 97, 26, 101, 26, 105, 26, 118, 26, 140, 26, 164, 26, 170, 26, 185, 26, 194, 26, 216, 26, 280, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 39, 27, 40, 27, 41, 27, 43, 27, 44, 27, 47, 27, 48, 27, 50, 27, 52, 27, 53, 27, 54, 27, 55, 27, 56, 27, 58, 27, 59, 27, 64, 27, 67, 27, 68, 27, 70, 27, 73, 27, 75, 27, 78, 27, 81, 27, 83, 27, 85, 27, 86, 27, 90, 27, 91, 27, 94, 27, 97, 27, 124, 27, 138, 27, 233, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 39, 28, 40, 28, 41, 28, 43, 28, 44, 28, 47, 28, 48, 28, 50, 28, 52, 28, 53, 28, 54, 28, 55, 28, 56, 28, 58, 28, 59, 28, 63, 28, 64, 28, 67, 28, 68, 28, 70, 28, 73, 28, 75, 28, 78, 28, 81, 28, 83, 28, 85, 28, 86, 28, 90, 28, 91, 28, 94, 28, 97, 28, 101, 28, 105, 28, 110, 28, 111, 28, 117, 28, 123, 28, 129, 28, 162, 28, 195, 28, 261, 28, 376, 28, 383, 28, 418, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 39, 29, 40, 29, 41, 29, 43, 29, 44, 29, 47, 29, 48, 29, 50, 29, 52, 29, 53, 29, 54, 29, 55, 29, 56, 29, 58, 29, 59, 29, 60, 29, 61, 29, 63, 29, 64, 29, 67, 29, 68, 29, 70, 29, 73, 29, 75, 29, 76, 29, 78, 29, 81, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 39, 30, 40, 30, 41, 30, 43, 30, 44, 30, 45, 30, 47, 30, 48, 30, 50, 30, 52, 30, 53, 30, 54, 30, 55, 30, 57, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 40, 31, 41, 31, 43, 31, 44, 31, 45, 31, 47, 31, 48, 31, 49, 31, 50, 31, 52, 31, 53, 31, 54, 31, 55, 31, 56, 31, 58, 31, 59, 31, 60, 31, 61, 31, 62, 31, 63, 31, 64, 31, 67, 31, 68, 31, 70, 31, 73, 31, 75, 31, 76, 31, 78, 31, 81, 31, 83, 31, 85, 31, 86, 31, 90, 31, 91, 31, 94, 31, 97, 31, 101, 31, 105, 31, 110, 31, 111, 31, 117, 31, 119, 31, 123, 31, 129, 31, 162, 31, 195, 31, 229, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 41, 32, 43, 32, 44, 32, 45, 32, 47, 32, 48, 32, 49, 32, 50, 32, 52, 32, 53, 32, 54, 32, 55, 32, 56, 32, 57, 32, 58, 32, 59, 32, 60, 32, 61, 32, 62, 32, 63, 32, 64, 32, 67, 32, 68, 32, 70, 32, 73, 32, 75, 32, 76, 32, 78, 32, 81, 32, 83, 32, 85, 32, 86, 32, 90, 32, 91, 32, 94, 32, 97, 32, 101, 32, 105, 32, 108, 32, 110, 32, 111, 32, 117, 32, 119, 32, 123, 32, 126, 32, 129, 32, 131, 32, 144, 32, 161, 32, 162, 32, 166, 32, 195, 32, 229, 32, 243, 32, 261, 32, 376, 32, 383, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 41, 33, 43, 33, 44, 33, 45, 33, 47, 33, 48, 33, 49, 33, 50, 33, 52, 33, 53, 33, 54, 33, 55, 33, 56, 33, 57, 33, 58, 33, 59, 33, 60, 33, 61, 33, 62, 33, 63, 33, 64, 33, 67, 33, 68, 33, 70, 33, 73, 33, 74, 33, 75, 33, 76, 33, 78, 33, 79, 33, 81, 33, 83, 33, 85, 33, 86, 33, 90, 33, 91, 33, 94, 33, 97, 33, 101, 33, 105, 33, 108, 33, 110, 33, 111, 33, 117, 33, 118, 33, 119, 33, 123, 33, 126, 33, 129, 33, 131, 33, 144, 33, 220, 33, 299, 33, 356, 33, 403, 34, 35, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 41, 34, 43, 34, 44, 34, 45, 34, 47, 34, 48, 34, 49, 34, 50, 34, 52, 34, 53, 34, 54, 34, 55, 34, 56, 34, 57, 34, 58, 34, 59, 34, 60, 34, 61, 34, 62, 34, 63, 34, 64, 34, 67, 34, 68, 34, 70, 34, 73, 34, 74, 34, 75, 34, 76, 34, 78, 34, 79, 34, 81, 34, 83, 35, 36, 35, 37, 35, 38, 35, 39, 35, 40, 35, 41, 35, 43, 35, 44, 35, 45, 35, 47, 35, 48, 35, 49, 35, 50, 35, 52, 35, 53, 35, 54, 35, 55, 35, 56, 35, 57, 35, 58, 35, 59, 35, 60, 35, 61, 35, 62, 35, 63, 35, 64, 35, 67, 35, 68, 35, 70, 35, 73, 35, 74, 35, 75, 36, 37, 36, 38, 36, 39, 36, 40, 36, 41, 36, 42, 36, 43, 36, 44, 36, 45, 36, 47, 36, 48, 36, 49, 36, 50, 36, 52, 36, 53, 36, 54, 36, 55, 36, 56, 36, 57, 36, 58, 36, 59, 36, 60, 36, 61, 36, 62, 36, 63, 36, 64, 36, 67, 36, 68, 36, 70, 36, 73, 36, 74, 36, 75, 36, 76, 36, 78, 36, 79, 36, 81, 36, 83, 36, 85, 36, 86, 36, 90, 36, 91, 36, 94, 36, 97, 36, 99, 36, 101, 36, 105, 36, 108, 36, 110, 36, 113, 36, 125, 36, 133, 36, 139, 36, 175, 36, 178, 36, 186, 36, 197, 37, 38, 37, 39, 37, 40, 37, 41, 37, 42, 37, 43, 37, 44, 37, 45, 37, 47, 37, 48, 37, 49, 37, 50, 37, 52, 37, 53, 37, 54, 37, 55, 37, 56, 37, 57, 37, 58, 37, 59, 37, 60, 37, 61, 37, 62, 37, 63, 37, 64, 37, 67, 37, 68, 37, 70, 37, 73, 37, 74, 37, 75, 37, 76, 37, 78, 37, 79, 37, 81, 37, 83, 37, 85, 37, 86, 37, 87, 37, 90, 37, 91, 37, 92, 37, 94, 37, 97, 37, 99, 37, 101, 37, 105, 37, 108, 37, 110, 37, 113, 37, 125, 37, 133, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 47, 38, 48, 38, 49, 38, 50, 38, 52, 38, 53, 38, 54, 38, 55, 38, 56, 38, 57, 38, 58, 38, 59, 38, 60, 38, 61, 38, 62, 38, 63, 38, 64, 38, 67, 38, 68, 38, 70, 38, 73, 38, 74, 38, 75, 38, 76, 38, 78, 38, 79, 38, 81, 38, 83, 38, 85, 38, 86, 38, 87, 38, 90, 38, 91, 38, 92, 38, 94, 38, 97, 38, 99, 38, 101, 38, 105, 38, 108, 38, 110, 38, 111, 38, 117, 38, 118, 38, 119, 38, 123, 38, 126, 38, 129, 38, 131, 38, 144, 38, 161, 38, 162, 38, 166, 38, 195, 38, 229, 38, 243, 38, 261, 38, 266, 38, 306, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 47, 39, 48, 39, 49, 39, 50, 39, 52, 39, 53, 39, 54, 39, 55, 39, 56, 39, 57, 39, 58, 39, 59, 39, 60, 39, 61, 39, 62, 39, 63, 39, 64, 39, 67, 39, 68, 39, 70, 39, 73, 39, 74, 39, 75, 39, 76, 39, 78, 39, 79, 39, 81, 39, 83, 39, 85, 39, 86, 39, 87, 39, 90, 39, 91, 39, 92, 39, 93, 39, 94, 39, 97, 39, 99, 39, 101, 39, 105, 39, 108, 39, 110, 39, 111, 39, 112, 39, 117, 39, 118, 39, 119, 39, 123, 39, 126, 39, 129, 39, 131, 39, 144, 39, 149, 39, 180, 39, 237, 39, 250, 39, 255, 39, 289, 39, 310, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 47, 40, 48, 40, 49, 40, 50, 40, 52, 40, 53, 40, 54, 40, 55, 40, 56, 40, 57, 40, 58, 40, 59, 40, 60, 40, 61, 40, 62, 40, 63, 40, 64, 40, 67, 40, 68, 40, 70, 40, 73, 40, 74, 40, 75, 40, 76, 40, 78 }
{16,15,13,14,11,10,9,6,12,8,5,4,7,3,2,1,0}

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

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

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

Returns: {0, 1, 0, 2, 0, 9, 0, 12, 0, 13, 0, 15, 0, 19, 0, 20, 0, 21, 0, 22, 0, 24, 0, 26, 1, 2, 1, 4, 1, 6, 1, 7, 1, 9, 1, 12, 1, 13, 1, 15, 1, 16, 1, 19, 1, 25, 2, 3, 2, 4, 2, 10, 3, 4, 3, 5, 3, 6, 3, 7, 3, 9, 3, 12, 3, 13, 3, 14, 3, 15, 3, 17, 4, 8, 5, 6, 5, 7, 5, 9, 5, 12, 5, 13, 5, 14, 5, 15, 5, 23, 6, 7, 6, 9, 6, 12, 6, 13, 6, 14, 6, 15, 6, 16, 6, 19, 6, 20, 6, 21, 6, 22, 6, 24, 6, 26, 6, 27, 6, 28, 7, 9, 7, 11, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 7, 17, 7, 19, 7, 20, 7, 21, 7, 22, 7, 24, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 16, 8, 17, 8, 18, 8, 19, 8, 20, 8, 21, 8, 22, 8, 24, 8, 26, 8, 27, 8, 28, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 19, 9, 20, 9, 21, 9, 22, 9, 24, 9, 26, 9, 27, 9, 28, 9, 31, 10, 11, 10, 12, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 24, 12, 25, 14, 15, 14, 16, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 24, 15, 25, 15, 26, 15, 27, 15, 28, 15, 29, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 24, 16, 25, 16, 26, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 27, 18, 28, 19, 20, 19, 21, 20, 21, 21, 22, 21, 23, 21, 24, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 33, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 26, 27, 26, 28, 26, 29, 28, 29, 28, 30, 28, 31, 28, 32, 29, 30, 29, 31, 29, 32, 30, 31, 31, 32, 32, 33, 32, 34, 32, 35, 34, 35 }
{427,430,441,419,396,380,417,421,434,387,411,358,415,401,397,424,236,390,405,423,435,338,381,375,379,429,412,367,432,413,352,386,404,269,248,279,425,418,205,414,400,399,354,316,307,394,378,361,436,437,409,373,408,366,420,440,431,341,254,255,407,241,388,356,402,385,281,349,277,353,392,439,438,372,389,393,309,315,406,384,256,344,173,313,258,374,332,426,195,351,306,357,211,329,302,403,331,360,300,274,242,165,312,345,267,179,339,428,391,347,224,317,182,328,244,368,355,106,265,364,350,416,129,286,270,201,288,285,271,377,304,365,327,348,295,433,161,346,101,276,172,235,157,290,336,151,203,268,148,398,342,343,289,319,382,243,259,283,164,410,337,275,82,233,245,237,335,383,292,250,282,376,189,264,156,370,212,371,273,174,291,310,301,202,323,325,308,287,238,303,176,257,247,145,369,314,253,185,152,222,158,225,363,227,263,362,296,321,305,123,214,284,112,219,192,150,260,191,188,200,223,298,216,294,92,395,318,108,218,249,209,153,293,333,135,239,190,193,226,134,56,141,246,204,154,75,217,422,220,297,138,229,330,136,261,206,231,221,324,266,171,155,234,118,34,122,167,187,126,16,120,84,210,181,175,109,334,198,53,139,127,340,278,326,207,299,140,130,228,322,142,131,186,119,67,83,91,163,45,144,180,107,199,125,230,197,73,166,137,147,90,105,183,272,213,50,149,133,76,215,115,194,121,168,110,162,57,132,143,71,68,170,95,94,128,99,240,359,93,178,31,70,88,28,116,177,146,86,36,102,51,61,80,320,104,114,47,54,98,184,66,38,160,49,232,87,196,62,96,12,252,311,78,26,15,77,280,81,100,113,37,55,11,85,43,117,208,44,25,262,60,21,23,30,159,46,65,39,19,18,124,48,6,169,42,74,2,40,89,251,32,24,33,79,63,111,58,7,97,13,41,5,52,27,69,59,35,14,64,9,22,1,0,103,29,20,17,8,4,3,72,10}

{267,391,232,269,2,86,383,334,431,350,314,256,56,102,219,396,340,229,278,306,89,97,379,248,342,327,95,137,236,57,329,271,212,293,112,109,204,87,71,153,388,274,302,47,193,397,338,301,16,144,49,215,339,151,240,172,42,235,99,103,60,10,382,282,247,242,414,365,347,142,23,169,52,51,4,393,245,300,434,357,222,132,432,124,417,148,205,366,163,257,259,223,378,356,11,418,119,272,315,188,296,147,337,441,100,179,362,277,401,266,407,29,84,249,173,288,41,263,216,349,299,31,201,28,361,380,196,324,183,377,268,385,199,344,55,164,15,309,101,174,318,194,312,195,123,33,168,59,165,24,421,209,289,207,18,152,360,156,425,294,298,399,430,422,177,127,335,285,225,50,7,341,122,290,19,37,265,428,214,348,351,317,404,202,437,353,176,410,106,394,238,308,313,81,387,158,239,220,108,154,284,217,429,192,128,111,70,43,375,321,346,291,114,233,420,424,352,90,363,200,54,180,415,69,92,161,409,354,136,250,32,427,258,88,286,413,405,68,304,243,275,94,433,133,374,295,191,20,370,166,372,206,12,254,171,184,120,178,389,181,125,228,234,48,231,283,46,367,343,107,210,73,237,436,311,392,395,305,67,400,241,66,368,140,35,440,439,398,53,170,186,93,21,319,150,83,118,376,30,273,187,135,198,253,138,252,358,105,38,75,190,6,323,326,121,276,175,345,126,408,227,423,246,22,226,145,373,412,143,384,244,292,438,355,91,182,416,117,386,17,221,110,261,36,116,213,224,129,310,149,131,218,211,320,104,162,139,160,230,96,255,369,333,167,402,419,270,0,185,359,390,330,27,9,411,208,1,403,197,113,61,297,82,85,264,141,39,44,14,262,280,316,26,325,331,80,65,332,189,63,381,159,134,307,303,74,364,40,45,251,279,328,281,260,322,203,157,62,79,287,435,5,406,78,77,146,426,25,34,72,58,155,336,130,64,76,98,8,115,3,371,13}

Returns: {0, 3, 0, 4, 0, 5, 0, 11, 0, 21, 0, 33, 0, 104, 1, 3, 1, 4, 1, 5, 1, 45, 1, 70, 1, 108, 2, 3, 2, 4, 2, 5, 2, 6, 2, 9, 2, 11, 2, 16, 2, 141, 2, 163, 2, 364, 3, 4, 3, 5, 3, 6, 3, 9, 3, 10, 3, 11, 3, 16, 3, 21, 3, 30, 3, 33, 3, 35, 3, 68, 3, 99, 3, 104, 4, 5, 4, 6, 4, 7, 4, 9, 4, 10, 4, 11, 4, 13, 4, 14, 4, 16, 4, 21, 4, 23, 4, 27, 4, 30, 4, 33, 4, 34, 4, 38, 4, 82, 4, 101, 4, 117, 4, 138, 4, 162, 4, 240, 4, 264, 4, 269, 4, 369, 4, 382, 4, 402, 4, 406, 5, 6, 5, 7, 5, 9, 5, 10, 5, 11, 5, 12, 5, 13, 5, 14, 5, 16, 5, 17, 5, 21, 5, 22, 5, 23, 5, 24, 5, 27, 5, 30, 5, 33, 5, 34, 5, 35, 5, 38, 5, 61, 5, 82, 5, 88, 5, 101, 5, 117, 5, 122, 5, 138, 5, 162, 5, 224, 5, 296, 5, 310, 5, 342, 5, 347, 6, 7, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 14, 6, 16, 6, 17, 6, 21, 6, 22, 6, 31, 6, 65, 6, 79, 6, 167, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 7, 16, 7, 17, 7, 21, 7, 22, 7, 23, 7, 24, 7, 27, 7, 30, 7, 33, 7, 34, 7, 35, 7, 38, 7, 144, 7, 166, 7, 276, 8, 9, 8, 28, 8, 56, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 16, 9, 17, 9, 18, 9, 21, 9, 22, 9, 23, 9, 24, 9, 27, 9, 30, 9, 33, 9, 34, 9, 35, 9, 38, 9, 89, 9, 120, 10, 11, 10, 12, 10, 13, 10, 14, 10, 16, 10, 17, 10, 18, 10, 21, 10, 22, 10, 23, 10, 24, 10, 27, 10, 30, 10, 33, 10, 34, 10, 35, 10, 38, 10, 42, 10, 43, 10, 77, 10, 195, 11, 12, 11, 13, 11, 14, 11, 16, 11, 17, 11, 18, 11, 21, 11, 22, 11, 23, 11, 24, 11, 27, 11, 30, 11, 33, 11, 34, 11, 35, 11, 38, 11, 42, 11, 43, 11, 44, 11, 66, 11, 68, 11, 80, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 21, 12, 22, 12, 23, 12, 24, 12, 27, 12, 30, 12, 31, 12, 33, 12, 34, 12, 35, 12, 38, 12, 42, 12, 43, 12, 44, 12, 57, 12, 58, 12, 61, 12, 82, 12, 88, 12, 101, 12, 105, 12, 117, 12, 122, 12, 136, 12, 138, 12, 162, 12, 224, 12, 240, 12, 245, 12, 264, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 21, 13, 22, 13, 23, 13, 24, 13, 27, 13, 30, 13, 31, 13, 33, 13, 34, 13, 35, 13, 38, 13, 42, 13, 43, 13, 44, 13, 57, 13, 58, 13, 59, 13, 61, 13, 82, 13, 88, 13, 92, 13, 101, 13, 105, 13, 112, 13, 117, 13, 122, 13, 136, 13, 138, 13, 142, 13, 145, 13, 148, 13, 162, 13, 209, 13, 212, 13, 224, 13, 311, 13, 349, 14, 15, 14, 16, 14, 17, 14, 18, 14, 21, 14, 22, 14, 23, 14, 24, 14, 27, 14, 30, 14, 31, 14, 33, 14, 34, 14, 35, 14, 38, 14, 42, 14, 43, 14, 44, 14, 47, 14, 57, 14, 58, 14, 59, 14, 61, 14, 82, 14, 88, 14, 92, 14, 110, 14, 199, 14, 213, 15, 16, 15, 17, 15, 18, 15, 19, 15, 21, 15, 22, 15, 23, 15, 24, 15, 26, 15, 27, 15, 30, 15, 31, 15, 33, 15, 45, 16, 17, 16, 18, 16, 19, 16, 21, 16, 22, 16, 23, 16, 24, 16, 26, 16, 27, 16, 30, 16, 31, 16, 32, 16, 33, 16, 34, 16, 35, 16, 38, 16, 42, 16, 43, 16, 44, 16, 47, 16, 53, 16, 57, 16, 58, 16, 59, 16, 61, 16, 281, 17, 18, 17, 19, 17, 21, 17, 22, 17, 23, 17, 24, 17, 26, 17, 27, 17, 29, 17, 30, 17, 31, 17, 32, 17, 33, 17, 34, 17, 35, 17, 38, 17, 42, 17, 43, 17, 44, 17, 46, 17, 47, 17, 51, 17, 53, 17, 57, 17, 58, 17, 59, 17, 61, 17, 66, 17, 68, 17, 80, 17, 82, 17, 88, 17, 92, 17, 100, 17, 110, 17, 141, 17, 163, 17, 251, 18, 19, 18, 21, 18, 22, 18, 23, 18, 24, 18, 26, 18, 27, 18, 29, 18, 30, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 38, 18, 42, 18, 43, 18, 44, 18, 46, 18, 47, 18, 51, 18, 53, 18, 57, 18, 58, 18, 59, 18, 61, 18, 63, 18, 66, 18, 67, 18, 68, 18, 80, 18, 82, 18, 282, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 26, 19, 27, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 38, 19, 40, 19, 41, 19, 42, 19, 43, 19, 44, 19, 46, 19, 47, 19, 51, 19, 53, 19, 57, 19, 58, 19, 59, 19, 61, 19, 63, 19, 66, 19, 67, 19, 68, 19, 76, 19, 80, 19, 90, 20, 21, 20, 22, 20, 23, 20, 24, 20, 26, 20, 27, 20, 29, 20, 30, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 38, 20, 40, 20, 41, 20, 42, 20, 43, 20, 44, 20, 46, 20, 47, 20, 51, 20, 53, 20, 57, 20, 58, 20, 59, 20, 61, 20, 63, 20, 66, 20, 67, 20, 68, 20, 69, 20, 76, 20, 77, 20, 80, 20, 82, 20, 84, 20, 88, 20, 92, 20, 100, 20, 101, 20, 105, 20, 112, 20, 117, 20, 122, 20, 136, 20, 138, 20, 142, 20, 145, 20, 148, 20, 162, 20, 193, 20, 209, 20, 212, 20, 224, 20, 227, 20, 240, 20, 296, 20, 310, 20, 342, 20, 408, 21, 22, 21, 23, 21, 24, 21, 26, 21, 27, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 38, 21, 40, 21, 41, 21, 42, 21, 43, 21, 44, 21, 46, 21, 47, 21, 51, 21, 53, 21, 57, 21, 58, 21, 59, 21, 61, 21, 63, 21, 66, 21, 67, 21, 68, 21, 69, 21, 76, 21, 77, 21, 80, 21, 82, 21, 84, 21, 88, 21, 92, 21, 100, 21, 101, 21, 105, 21, 112, 21, 117, 21, 122, 21, 136, 21, 138, 21, 140, 21, 142, 21, 145, 21, 148, 21, 162, 21, 193, 21, 209, 21, 212, 21, 224, 21, 227, 21, 240, 21, 296, 21, 335, 21, 358, 21, 418, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 29, 22, 30, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 38, 22, 40, 22, 41, 22, 42, 22, 43, 22, 44, 22, 45, 22, 46, 22, 47, 22, 51, 22, 53, 22, 57, 23, 24, 23, 25, 23, 26, 23, 27, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 38, 23, 40, 23, 41, 23, 42, 23, 43, 23, 44, 23, 45, 23, 46, 23, 47, 23, 51, 23, 53, 23, 57, 23, 58, 23, 59, 23, 61, 23, 63, 23, 66, 23, 67, 23, 68, 23, 69, 23, 76, 23, 77, 23, 80, 23, 81, 23, 82, 23, 83, 23, 84, 23, 88, 23, 92, 23, 100, 23, 101, 23, 105, 24, 25, 24, 26, 24, 27, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 38, 24, 40, 24, 41, 24, 42, 24, 43, 24, 44, 24, 45, 24, 46, 24, 47, 24, 51, 24, 53, 24, 57, 24, 58, 24, 59, 24, 61, 24, 63, 24, 66, 24, 67, 24, 68, 24, 69, 24, 76, 24, 77, 24, 80, 24, 81, 24, 82, 24, 150, 25, 26, 25, 27, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 38, 25, 39, 25, 40, 25, 41, 25, 42, 25, 43, 25, 44, 25, 45, 25, 46, 25, 47, 25, 51, 25, 53, 25, 57, 25, 58, 25, 59, 25, 61, 25, 63, 25, 66, 25, 67, 25, 68, 25, 69, 25, 76, 25, 77, 25, 80, 25, 81, 25, 82, 25, 86, 25, 93, 25, 113, 25, 132, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 37, 26, 38, 26, 39, 26, 40, 26, 41, 26, 42, 26, 43, 26, 44, 26, 45, 26, 46, 26, 47, 26, 51, 26, 53, 26, 57, 26, 58, 26, 59, 26, 61, 26, 63, 26, 66, 26, 67, 26, 68, 26, 69, 26, 76, 26, 77, 26, 80, 26, 81, 26, 82, 26, 83, 26, 84, 26, 88, 26, 90, 26, 92, 26, 99, 26, 100, 26, 101, 26, 105, 26, 110, 26, 112, 26, 117, 26, 122, 26, 136, 26, 138, 26, 140, 26, 142, 26, 145, 26, 148, 26, 162, 26, 174, 26, 193, 26, 209, 26, 212, 26, 224, 26, 227, 26, 240, 26, 275, 26, 296, 26, 301, 26, 311, 26, 332, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 37, 27, 38, 27, 39, 27, 40, 27, 41, 27, 42, 27, 43, 27, 44, 27, 45, 27, 46, 27, 47, 27, 51, 27, 53, 27, 57, 27, 58, 27, 59, 27, 61, 27, 63, 27, 66, 27, 67, 27, 68, 27, 69, 27, 76, 27, 77, 27, 80, 27, 81, 27, 82, 27, 83, 27, 84, 27, 88, 27, 90, 27, 92, 27, 94, 27, 98, 27, 99, 27, 100, 27, 101, 27, 105, 27, 110, 27, 112, 27, 117, 27, 122, 27, 125, 27, 136, 27, 138, 27, 140, 27, 142, 27, 145, 27, 148, 27, 158, 27, 162, 27, 174, 27, 193, 27, 198, 27, 209, 27, 212, 27, 224, 27, 241, 27, 250, 27, 308, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 37, 28, 38, 28, 39, 28, 40, 28, 41, 28, 42, 28, 43, 28, 44, 28, 45, 28, 46, 28, 47, 28, 51, 28, 53, 28, 57, 28, 58, 28, 59, 28, 61, 28, 63, 28, 66, 28, 67, 28, 68, 28, 69, 28, 73, 28, 76, 28, 77, 28, 80, 28, 81, 28, 82, 28, 83, 28, 84, 28, 86, 28, 88, 28, 90, 28, 92, 28, 94, 28, 98, 28, 99, 28, 100, 28, 101, 28, 104, 28, 105, 28, 110, 28, 112, 28, 114, 28, 117, 28, 141, 28, 163, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 37, 29, 38, 29, 39, 29, 40, 29, 41, 29, 42, 29, 43, 29, 44, 29, 45, 29, 46, 29, 47, 29, 51, 29, 53, 29, 57, 29, 58, 29, 59, 29, 61, 29, 62, 29, 63, 29, 65, 29, 66, 29, 67, 29, 68, 29, 69, 29, 73, 29, 76, 29, 77, 29, 80, 29, 81, 29, 82, 29, 83, 29, 84, 29, 86, 29, 88, 29, 90, 29, 92, 29, 94, 29, 98, 29, 99, 29, 100, 29, 101, 29, 104, 29, 105, 29, 110, 29, 112, 29, 114, 29, 117, 29, 122, 29, 125, 29, 136, 29, 138, 29, 140, 29, 142, 29, 145, 29, 148, 29, 158, 29, 162, 29, 174, 29, 193, 29, 198, 29, 209, 29, 212, 29, 215, 29, 224, 29, 227, 29, 240, 29, 245, 29, 264, 29, 294, 29, 326, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 44, 30, 45, 30, 46, 30, 47, 30, 50, 30, 51, 30, 53, 30, 57, 30, 58, 30, 59, 30, 61, 30, 62, 30, 63, 30, 65, 30, 66, 30, 67, 30, 68, 30, 69, 30, 73, 30, 76, 30, 77, 30, 80, 30, 81, 30, 82, 30, 83, 30, 84, 30, 86, 30, 88, 30, 89, 30, 90, 30, 93, 30, 96, 30, 113, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 40, 31, 41, 31, 42, 31, 43, 31, 44, 31, 45, 31, 46, 31, 47, 31, 50, 31, 51, 31, 52, 31, 53, 31, 57, 31, 58, 31, 59, 31, 61, 31, 62, 31, 63, 31, 65, 31, 66, 31, 67, 31, 68, 31, 69, 31, 73, 31, 76, 31, 77, 31, 80, 31, 81, 31, 82, 31, 83, 31, 84, 31, 86, 31, 88, 31, 89, 31, 90, 31, 92, 31, 94, 31, 98, 31, 99, 31, 100, 31, 101, 31, 104, 31, 105, 31, 110, 31, 128, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 41, 32, 42, 32, 43, 32, 44, 32, 45, 32, 46, 32, 47, 32, 50, 32, 51, 32, 52, 32, 53, 32, 57, 32, 58, 32, 59, 32, 61, 32, 62, 32, 63, 32, 65, 32, 66, 32, 67, 32, 68, 32, 69, 32, 73, 32, 76, 32, 77, 32, 80, 32, 81, 32, 82, 32, 83, 32, 84, 32, 86, 32, 88, 32, 89, 32, 90, 32, 92, 32, 93, 32, 94, 32, 98, 32, 99, 32, 100, 32, 101, 32, 104, 32, 105, 32, 110, 32, 112, 32, 114, 32, 117, 32, 122, 32, 141, 32, 163, 32, 165, 32, 176, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 41, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 47, 33, 50, 33, 51, 33, 52, 33, 53, 33, 57, 33, 58, 33, 59, 33, 61, 33, 62, 33, 63, 33, 65, 33, 66, 33, 67, 33, 68, 33, 69, 33, 73, 33, 76, 33, 77, 33, 80, 33, 81, 33, 82, 33, 83, 33, 84, 33, 86, 33, 88, 33, 89, 33, 90, 33, 92, 33, 93, 33, 94, 33, 96, 33, 98, 33, 99, 33, 100, 33, 101, 33, 104, 33, 105, 33, 134, 33, 223, 33, 232, 34, 35, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 41, 34, 42, 34, 43, 34, 44, 34, 45, 34, 46, 34, 47, 34, 50, 34, 51, 34, 52, 34, 53, 34, 57, 34, 58, 34, 59, 34, 61, 34, 62, 34, 63, 34, 65, 34, 66, 34, 67, 34, 68, 34, 69, 34, 73, 34, 76, 34, 77, 34, 80, 34, 81, 34, 82, 34, 83, 34, 84, 34, 86, 34, 88, 34, 89, 34, 90, 34, 92, 34, 93, 34, 94, 34, 96, 34, 98, 34, 99, 34, 100, 34, 101, 34, 104, 34, 105, 34, 110, 34, 112, 34, 114 }
{34,205,201,17,173,150,143,19,172,184,179,123,196,156,107,40,101,52,229,89,80,24,0,70,183,13,223,12,193,54,116,137,127,3,37,61,186,190,222,111,114,185,208,131,50,163,132,118,96,126,134,109,151,92,22,160,74,221,189,130,97,209,29,9,99,181,103,112,120,122,178,202,207,144,39,152,16,174,176,226,73,110,93,187,198,69,27,62,194,108,125,21,31,139,42,35,203,53,45,49,216,86,197,104,169,55,72,159,199,81,210,170,25,140,154,138,180,60,56,168,33,38,146,121,26,188,230,227,66,32,51,215,47,182,220,158,129,71,133,218,228,155,20,142,204,206,105,58,106,77,8,64,113,10,83,124,171,117,44,213,191,1,195,224,6,175,23,219,5,68,82,153,164,225,217,165,148,57,63,94,167,212,166,84,162,87,95,231,214,78,157,7,135,15,128,91,36,46,59,65,30,88,100,149,192,136,28,43,41,141,48,98,102,75,147,67,4,161,115,90,76,11,177,14,18,145,85,79,2,211,200,119}

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

Returns: {5, 6, 5, 31, 5, 43, 6, 31, 12, 24, 12, 45, 12, 184, 19, 20, 19, 23, 19, 29, 19, 44, 19, 99, 20, 23, 23, 29, 24, 28, 24, 36, 24, 41, 24, 45, 28, 36, 29, 35, 29, 44, 30, 35, 30, 44, 31, 43, 35, 39, 35, 44, 35, 101, 35, 109, 35, 227, 36, 37, 36, 41, 37, 41, 38, 39, 38, 40, 38, 44, 38, 48, 38, 53, 38, 56, 38, 80, 38, 85, 38, 128, 38, 199, 39, 40, 39, 44, 39, 48, 40, 41, 40, 43, 40, 44, 40, 48, 41, 42, 41, 43, 41, 45, 42, 43, 42, 44, 42, 73, 42, 93, 42, 115, 42, 192, 43, 44, 43, 45, 43, 46, 43, 47, 43, 48, 43, 51, 43, 53, 43, 54, 43, 63, 43, 150, 44, 45, 44, 46, 44, 47, 44, 48, 44, 51, 44, 53, 44, 54, 44, 56, 44, 80, 44, 85, 44, 87, 44, 97, 44, 99, 45, 46, 45, 47, 45, 52, 46, 47, 46, 48, 47, 48, 47, 49, 47, 51, 48, 49, 48, 50, 48, 51, 48, 53, 48, 54, 48, 56, 49, 50, 49, 51, 49, 53, 50, 51, 50, 52, 50, 53, 51, 52, 51, 53, 51, 54, 51, 56, 52, 53, 52, 54, 52, 58, 52, 65, 52, 70, 52, 77, 52, 104, 52, 119, 52, 172, 52, 184, 53, 54, 53, 55, 53, 56, 53, 60, 53, 80, 53, 101, 53, 109, 53, 149, 53, 213, 54, 55, 54, 56, 54, 59, 54, 60, 54, 62, 54, 63, 55, 56, 55, 58, 55, 59, 56, 57, 56, 58, 56, 59, 56, 60, 56, 62, 56, 64, 56, 80, 56, 82, 56, 85, 57, 58, 57, 59, 57, 60, 57, 62, 57, 64, 57, 67, 57, 81, 57, 89, 57, 103, 58, 59, 58, 60, 58, 62, 58, 64, 58, 66, 58, 80, 58, 82, 59, 60, 59, 61, 59, 62, 59, 64, 59, 65, 59, 66, 60, 61, 60, 62, 60, 64, 60, 65, 60, 66, 61, 62, 61, 64, 62, 63, 63, 64, 63, 65, 63, 66, 63, 67, 63, 74, 63, 76, 63, 150, 64, 65, 64, 66, 64, 67, 64, 68, 64, 74, 64, 80, 64, 82, 65, 66, 65, 67, 65, 68, 65, 70, 66, 67, 66, 68, 66, 69, 66, 74, 66, 76, 66, 86, 66, 91, 67, 68, 67, 69, 67, 70, 67, 73, 67, 74, 67, 76, 67, 80, 67, 81, 68, 69, 68, 70, 68, 71, 68, 73, 68, 74, 68, 76, 68, 80, 69, 70, 69, 71, 69, 72, 69, 73, 69, 74, 69, 75, 69, 76, 69, 80, 70, 71, 70, 72, 70, 73, 70, 74, 70, 75, 70, 76, 70, 80, 70, 81, 70, 82, 70, 85, 70, 101, 70, 109, 70, 149, 71, 72, 71, 73, 71, 74, 71, 75, 72, 73, 72, 74, 72, 75, 73, 74, 73, 75, 73, 76, 73, 77, 73, 78, 73, 80, 73, 81, 73, 93, 74, 75, 74, 76, 74, 77, 74, 78, 74, 80, 74, 81, 74, 82, 74, 85, 74, 86, 75, 76, 75, 77, 75, 78, 75, 80, 75, 81, 75, 82, 76, 77, 76, 78, 76, 80, 76, 81, 76, 82, 76, 85, 76, 86, 76, 87, 76, 91, 76, 112, 76, 142, 76, 150, 77, 78, 77, 80, 77, 81, 77, 82, 77, 85, 77, 104, 78, 80, 78, 81, 78, 82, 78, 83, 78, 85, 78, 86, 78, 89, 78, 103, 80, 81, 80, 82, 80, 83, 80, 85, 80, 86, 80, 87, 80, 91, 81, 82, 81, 83, 81, 84, 81, 85, 81, 86, 81, 87, 81, 89, 81, 103, 82, 83, 82, 84, 82, 85, 82, 86, 82, 87, 82, 89, 82, 90, 82, 91, 82, 101, 83, 84, 83, 85, 83, 86, 83, 87, 83, 88, 83, 89, 84, 85, 84, 86, 84, 87, 85, 86, 85, 87, 85, 88, 85, 89, 85, 90, 85, 91, 85, 101, 85, 106, 85, 128, 86, 87, 86, 88, 86, 89, 86, 90, 86, 91, 86, 92, 86, 112, 87, 88, 87, 89, 87, 90, 87, 91, 87, 92, 87, 93, 87, 97, 88, 89, 88, 90, 88, 91, 88, 92, 88, 93, 88, 94, 88, 95, 88, 120, 88, 129, 89, 90, 89, 91, 89, 92, 89, 93, 89, 94, 89, 104, 90, 91, 90, 92, 90, 93, 90, 94, 90, 97, 90, 101, 91, 92, 91, 93, 91, 94, 91, 97, 91, 101, 91, 103, 91, 106, 91, 109, 91, 117, 91, 147, 91, 177, 92, 93, 92, 94, 92, 95, 92, 112, 93, 94, 93, 95, 93, 96, 93, 97, 93, 101, 93, 103, 93, 113, 93, 115, 94, 95, 94, 96, 94, 97, 94, 98, 94, 112, 95, 96, 95, 97, 95, 98, 95, 99, 95, 112, 95, 120, 96, 97, 96, 98, 96, 99, 96, 101, 96, 103, 96, 104, 96, 222, 97, 98, 97, 99, 97, 101, 97, 102, 97, 103, 97, 104, 97, 105, 97, 112, 98, 99, 98, 100, 98, 101, 98, 102, 98, 103, 98, 104, 98, 105, 98, 106, 98, 109, 98, 112, 98, 120, 99, 100, 99, 101, 99, 102, 99, 103, 99, 104, 99, 105, 99, 106, 99, 107, 99, 109, 99, 112, 99, 117, 99, 149, 100, 101, 100, 102, 101, 102, 101, 103, 101, 104, 101, 105, 101, 106, 101, 107, 101, 116, 101, 222, 102, 103, 102, 104, 102, 105, 102, 106, 103, 104, 104, 105, 104, 106, 104, 107, 104, 111, 104, 119, 105, 106, 105, 107, 105, 108, 105, 109, 105, 112, 105, 117, 105, 118, 105, 120, 106, 107, 106, 108, 106, 109, 106, 111, 106, 112, 106, 113, 106, 115, 106, 117, 106, 118, 106, 120, 106, 121, 106, 124, 106, 142, 106, 166, 107, 108, 107, 109, 107, 111, 107, 112, 107, 113, 108, 109, 108, 111, 108, 112, 109, 110, 109, 111, 109, 112, 109, 113, 109, 114, 109, 115, 109, 117, 109, 118, 109, 120, 109, 128, 109, 137, 109, 151, 110, 111, 111, 112, 111, 113, 111, 114, 111, 115, 111, 117, 111, 118, 111, 136, 112, 113, 112, 114, 112, 115, 112, 116, 112, 117, 112, 118, 112, 120, 112, 121, 112, 124, 112, 129, 112, 142, 112, 166, 113, 114, 113, 115, 113, 116, 113, 117, 113, 118, 113, 120, 113, 121, 113, 124, 113, 129, 113, 142, 113, 150, 113, 153, 113, 164, 114, 115, 114, 116, 114, 117, 114, 118, 114, 119, 114, 120, 115, 116, 115, 117, 115, 118, 115, 119, 115, 120, 115, 121, 115, 122, 115, 136, 115, 192, 116, 117, 116, 118, 116, 119, 116, 120, 116, 125, 116, 133, 116, 222, 117, 118, 117, 119, 117, 120, 117, 121, 117, 122, 117, 123, 117, 124, 117, 128, 117, 129, 117, 130, 117, 132, 117, 142, 117, 150, 117, 153, 117, 164, 117, 168, 117, 216, 117, 228, 118, 119, 118, 120, 118, 121, 118, 122, 118, 123, 118, 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214, 177, 179, 177, 180, 177, 182, 177, 183, 177, 212, 179, 180, 179, 181, 179, 182, 179, 183, 179, 184, 179, 185, 180, 181, 180, 182, 180, 183, 180, 184, 180, 185, 181, 182, 181, 183, 182, 183, 182, 184, 182, 185, 182, 190, 183, 184, 183, 185, 183, 186, 183, 189, 183, 195, 183, 199, 183, 226, 183, 227, 184, 185, 184, 186, 184, 190, 184, 192, 185, 186, 185, 188, 185, 189, 185, 195, 185, 199, 185, 201, 185, 226, 186, 188, 186, 189, 186, 190, 186, 192, 186, 194, 186, 195, 188, 189, 188, 190, 188, 191, 188, 193, 188, 221, 189, 190, 189, 191, 189, 192, 189, 194, 189, 195, 189, 199, 189, 201, 189, 213, 190, 191, 190, 192, 190, 194, 190, 195, 190, 199, 190, 203, 191, 192, 191, 193, 191, 196, 191, 200, 191, 206, 191, 216, 192, 193, 192, 194, 192, 195, 193, 194, 193, 195, 193, 196, 193, 197, 193, 200, 193, 206, 193, 216, 193, 221, 194, 195, 194, 196, 194, 199, 194, 203, 194, 205, 194, 231, 195, 196, 195, 199, 195, 201, 195, 213, 196, 197, 196, 198, 196, 200, 196, 206, 197, 198, 197, 200, 197, 206, 198, 199, 198, 200, 198, 206, 199, 200, 200, 201, 200, 202, 200, 206, 200, 207, 200, 208, 200, 216, 201, 202, 201, 203, 201, 205, 201, 206, 201, 211, 201, 213, 201, 219, 201, 226, 202, 203, 202, 204, 202, 205, 202, 206, 202, 209, 202, 211, 203, 204, 203, 205, 203, 206, 203, 209, 203, 214, 204, 205, 204, 206, 204, 222, 205, 206, 205, 209, 205, 211, 205, 231, 206, 207, 206, 208, 206, 216, 206, 221, 207, 208, 207, 210, 207, 216, 208, 209, 208, 210, 208, 216, 208, 221, 209, 210, 209, 211, 209, 214, 209, 225, 209, 231, 210, 211, 210, 212, 210, 213, 210, 215, 210, 216, 210, 221, 211, 212, 211, 213, 211, 215, 212, 213, 212, 214, 212, 217, 212, 225, 213, 214, 213, 215, 213, 218, 213, 219, 214, 215, 214, 217, 215, 216, 216, 217, 216, 218, 216, 219, 216, 220, 216, 221, 216, 223, 216, 228, 217, 218, 217, 222, 217, 225, 218, 219, 218, 220, 219, 220, 219, 226, 220, 221, 220, 223, 221, 222, 222, 225, 223, 224, 223, 228, 224, 228, 225, 229, 225, 230, 225, 231, 226, 227, 229, 230, 230, 231 }
{463,457,476,462,460,469,474,319,439,453,430,470,452,451,404,436,445,447,473,431,448,434,416,456,269,454,475,441,466,455,444,380,405,464,371,414,458,415,459,418,284,289,255,374,442,407,461,465,437,409,468,159,472,471,376,399,428,433,356,408,443,377,410,192,310,403,406,378,311,384,420,435,363,295,389,429,381,358,422,425,417,412,349,423,267,240,432,393,335,360,440,392,351,426,421,450,367,400,411,339,375,318,387,388,228,395,347,390,350,332,413,285,373,342,334,372,383,270,308,201,397,300,247,245,398,370,366,265,361,364,254,313,165,353,307,402,120,446,359,449,346,355,316,333,329,365,337,253,215,328,303,396,345,362,286,343,336,294,290,427,424,394,323,320,280,273,144,322,386,327,438,354,185,344,326,178,338,385,251,299,283,277,296,239,309,306,341,271,325,382,302,467,250,216,312,321,352,368,276,156,315,369,314,206,291,242,238,331,419,217,391,110,123,282,164,317,357,272,197,288,117,135,249,268,304,78,260,262,258,219,279,191,287,297,198,330,324,231,244,232,140,227,246,401,158,234,168,248,166,214,213,155,221,223,305,301,292,143,193,252,236,122,263,281,275,180,224,261,173,340,235,190,202,207,266,136,184,222,196,226,274,229,66,39,105,115,174,161,189,183,125,278,203,348,182,146,167,171,257,199,237,233,139,264,241,210,175,220,147,212,128,69,172,225,177,259,205,74,208,96,85,127,256,218,160,176,129,84,230,43,379,97,293,170,65,154,71,243,141,113,194,103,181,211,131,118,83,99,138,162,81,11,186,152,169,45,145,153,187,134,124,101,56,104,95,188,132,22,163,209,107,41,137,114,53,77,37,108,148,119,130,109,298,70,149,82,44,3,73,151,157,200,62,150,112,93,75,46,76,86,102,100,52,87,51,68,72,126,80,67,54,92,59,33,116,94,91,57,98,204,58,64,31,179,9,7,10,61,36,17,30,0,50,79,16,89,1,29,5,35,195,40,23,49,142,60,4,26,38,24,121,18,48,6,12,90,106,13,32,8,21,20,19,14,111,42,133,63,25,28,15,55,2,47,88,34,27}

{363,137,308,153,392,108,429,88,243,162,330,82,236,121,401,39,199,402,342,11,29,0,61,311,189,337,156,473,127,234,122,231,405,85,442,317,200,434,2,430,201,187,255,90,6,9,432,424,160,129,219,320,369,335,376,439,192,312,182,409,418,367,381,280,310,391,394,294,143,293,102,33,267,295,125,278,322,358,26,371,106,285,292,382,113,95,375,59,147,470,271,413,389,224,136,83,221,133,167,323,98,400,247,433,399,77,353,70,93,462,347,464,111,276,316,411,416,328,157,435,307,197,73,235,452,339,208,332,387,12,183,23,31,179,171,325,440,40,287,426,352,256,356,270,164,428,203,380,128,282,229,386,444,74,144,396,190,268,253,290,447,340,465,81,226,165,35,1,378,119,91,343,163,213,284,301,50,149,469,366,260,455,41,103,241,43,244,379,266,63,257,249,150,471,427,408,272,194,262,393,140,397,423,186,216,368,37,204,384,28,333,422,180,205,214,52,191,326,360,232,87,449,242,450,109,222,84,321,454,398,38,467,68,281,51,188,134,239,318,446,89,117,269,177,66,44,258,273,48,115,107,25,475,237,383,286,211,456,279,53,305,24,210,414,72,145,388,238,30,130,100,466,64,71,18,215,298,184,99,220,351,58,158,198,36,277,65,116,17,47,56,80,155,265,101,410,329,173,472,355,403,193,304,373,457,69,126,251,468,288,123,458,451,419,161,341,20,359,209,289,96,7,225,291,425,300,412,112,420,259,264,248,336,57,8,250,263,62,4,438,453,319,172,230,348,227,437,476,138,370,21,196,206,274,169,114,46,474,49,233,354,303,390,14,159,97,132,166,207,148,105,92,141,421,315,361,27,110,3,313,346,299,94,385,407,441,443,302,139,240,364,377,131,309,460,32,86,124,76,261,349,334,283,120,175,212,252,174,372,22,314,350,152,461,246,154,297,357,406,331,362,306,178,75,228,45,10,463,79,42,218,365,417,15,436,344,16,67,5,146,415,245,104,327,142,13,445,78,404,181,135,176,296,345,60,54,223,19,34,118,324,195,185,170,275,431,168,151,338,448,254,55,395,202,374,459,217}

Returns: {0, 1, 0, 8, 0, 10, 0, 14, 0, 31, 0, 34, 0, 72, 1, 3, 1, 4, 1, 7, 1, 24, 1, 42, 1, 51, 1, 166, 1, 240, 1, 302, 1, 348, 1, 372, 2, 3, 2, 4, 2, 7, 2, 8, 2, 9, 2, 10, 2, 14, 2, 22, 2, 24, 2, 64, 2, 118, 3, 4, 3, 7, 3, 8, 3, 9, 3, 10, 3, 12, 3, 13, 3, 14, 3, 15, 3, 19, 3, 22, 3, 24, 3, 31, 3, 34, 3, 40, 3, 42, 3, 51, 3, 63, 3, 132, 3, 166, 3, 199, 3, 251, 3, 335, 3, 357, 4, 5, 4, 7, 4, 8, 4, 9, 4, 10, 4, 12, 4, 13, 4, 14, 4, 15, 4, 19, 4, 21, 4, 22, 4, 24, 4, 31, 4, 32, 4, 34, 4, 55, 4, 87, 4, 91, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 12, 5, 13, 5, 14, 5, 15, 5, 16, 5, 19, 5, 21, 5, 22, 5, 24, 5, 31, 5, 32, 5, 34, 5, 40, 5, 41, 5, 42, 5, 51, 5, 63, 5, 85, 5, 104, 5, 119, 5, 132, 5, 136, 5, 211, 5, 377, 6, 7, 6, 8, 6, 9, 6, 10, 6, 12, 6, 13, 6, 14, 6, 15, 6, 16, 6, 17, 6, 19, 6, 21, 6, 22, 6, 24, 6, 31, 6, 32, 6, 75, 7, 8, 7, 9, 7, 10, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 7, 17, 7, 19, 7, 21, 7, 22, 7, 24, 7, 31, 7, 32, 7, 34, 7, 35, 7, 40, 7, 41, 7, 42, 7, 51, 7, 63, 7, 84, 7, 85, 7, 104, 7, 119, 7, 132, 7, 136, 7, 166, 7, 199, 7, 211, 7, 220, 7, 284, 7, 319, 7, 364, 7, 395, 7, 411, 7, 416, 7, 435, 7, 474, 8, 9, 8, 10, 8, 12, 8, 13, 8, 14, 8, 15, 8, 16, 8, 17, 8, 19, 8, 20, 8, 21, 8, 22, 8, 24, 8, 31, 8, 32, 8, 34, 8, 35, 8, 37, 8, 40, 8, 41, 8, 42, 8, 43, 8, 51, 8, 63, 8, 84, 8, 85, 8, 104, 8, 122, 8, 123, 8, 238, 8, 337, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 19, 9, 20, 9, 21, 9, 22, 9, 24, 9, 27, 9, 31, 9, 32, 9, 34, 9, 35, 9, 37, 9, 40, 9, 41, 9, 42, 9, 43, 9, 51, 9, 58, 9, 63, 9, 84, 9, 85, 9, 104, 9, 119, 9, 132, 9, 136, 9, 166, 9, 172, 9, 175, 9, 199, 9, 214, 9, 349, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 19, 10, 20, 10, 21, 10, 22, 10, 24, 10, 27, 10, 30, 10, 31, 10, 32, 10, 34, 10, 35, 10, 37, 10, 39, 10, 40, 10, 41, 10, 42, 10, 43, 10, 51, 10, 54, 10, 58, 10, 63, 10, 82, 10, 88, 10, 109, 10, 207, 10, 235, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 19, 11, 20, 11, 21, 11, 22, 11, 24, 11, 27, 11, 30, 11, 31, 11, 32, 11, 34, 11, 35, 11, 37, 11, 39, 11, 40, 11, 41, 11, 42, 11, 43, 11, 45, 11, 51, 11, 54, 11, 58, 11, 63, 11, 64, 11, 68, 11, 73, 11, 84, 11, 85, 11, 104, 11, 119, 11, 122, 11, 123, 11, 132, 11, 136, 11, 148, 11, 166, 11, 172, 11, 175, 11, 199, 11, 211, 11, 212, 11, 220, 11, 284, 11, 285, 11, 319, 11, 320, 11, 327, 11, 346, 11, 385, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 19, 12, 20, 12, 21, 12, 22, 12, 24, 12, 27, 12, 30, 12, 31, 12, 32, 12, 34, 12, 35, 12, 37, 12, 39, 12, 40, 12, 41, 12, 42, 12, 43, 12, 45, 12, 49, 12, 51, 12, 54, 12, 55, 12, 58, 12, 61, 12, 63, 12, 64, 12, 68, 12, 73, 12, 84, 12, 85, 12, 104, 12, 117, 12, 119, 12, 122, 12, 123, 12, 130, 12, 132, 12, 136, 12, 183, 12, 206, 12, 260, 13, 14, 13, 15, 13, 16, 13, 17, 13, 19, 13, 20, 13, 21, 13, 22, 13, 24, 13, 27, 13, 30, 13, 31, 13, 32, 13, 34, 13, 35, 13, 37, 13, 39, 13, 40, 13, 41, 13, 42, 13, 43, 13, 45, 13, 49, 13, 51, 13, 54, 13, 55, 13, 58, 13, 61, 13, 63, 13, 64, 13, 68, 13, 72, 13, 73, 13, 84, 13, 85, 13, 104, 13, 111, 13, 117, 13, 119, 13, 122, 13, 123, 13, 127, 13, 130, 13, 132, 13, 136, 13, 148, 13, 166, 13, 172, 13, 175, 13, 199, 13, 211, 13, 212, 13, 220, 13, 261, 13, 450, 14, 15, 14, 16, 14, 17, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 27, 14, 30, 14, 31, 14, 32, 14, 34, 14, 35, 14, 37, 14, 39, 14, 40, 14, 41, 14, 42, 14, 43, 14, 45, 14, 49, 14, 51, 14, 54, 14, 55, 14, 58, 14, 61, 14, 65, 14, 135, 14, 243, 15, 16, 15, 17, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 27, 15, 30, 15, 31, 15, 32, 15, 34, 15, 35, 15, 37, 15, 39, 15, 40, 15, 41, 15, 42, 15, 43, 15, 45, 15, 49, 15, 51, 15, 54, 15, 55, 15, 58, 15, 61, 15, 63, 15, 64, 15, 68, 15, 72, 15, 73, 15, 77, 15, 82, 15, 84, 15, 85, 15, 104, 15, 111, 15, 117, 15, 119, 15, 122, 15, 123, 15, 127, 15, 130, 15, 132, 15, 136, 15, 147, 15, 148, 15, 166, 15, 172, 15, 175, 15, 199, 15, 211, 15, 212, 15, 214, 15, 220, 15, 221, 15, 225, 15, 282, 15, 283, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 27, 16, 30, 16, 31, 16, 32, 16, 34, 16, 35, 16, 37, 16, 39, 16, 40, 16, 41, 16, 42, 16, 43, 16, 45, 16, 49, 16, 51, 16, 54, 16, 55, 16, 58, 16, 59, 16, 61, 16, 63, 16, 64, 16, 67, 16, 68, 16, 72, 16, 73, 16, 77, 16, 82, 16, 84, 16, 85, 16, 101, 16, 104, 16, 111, 16, 117, 16, 119, 16, 122, 16, 123, 16, 127, 16, 130, 16, 132, 16, 136, 16, 147, 16, 148, 16, 166, 16, 172, 16, 175, 16, 199, 16, 299, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 27, 17, 29, 17, 30, 17, 31, 17, 32, 17, 34, 17, 35, 17, 37, 17, 39, 17, 40, 17, 41, 17, 42, 17, 43, 17, 45, 17, 49, 17, 51, 17, 54, 17, 55, 17, 58, 17, 59, 17, 61, 17, 63, 17, 64, 17, 65, 17, 135, 17, 243, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 27, 18, 29, 18, 30, 18, 31, 18, 32, 18, 34, 18, 35, 18, 37, 18, 39, 18, 40, 18, 41, 18, 42, 18, 43, 18, 45, 18, 49, 18, 51, 18, 54, 18, 55, 18, 58, 18, 59, 18, 61, 18, 63, 18, 64, 18, 65, 18, 67, 18, 68, 18, 72, 18, 73, 18, 77, 18, 82, 18, 84, 18, 85, 18, 88, 18, 106, 18, 113, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 27, 19, 29, 19, 30, 19, 31, 19, 32, 19, 34, 19, 35, 19, 37, 19, 39, 19, 40, 19, 41, 19, 42, 19, 43, 19, 45, 19, 48, 19, 49, 19, 51, 19, 54, 19, 55, 19, 58, 19, 59, 19, 61, 19, 62, 19, 63, 19, 64, 19, 65, 19, 66, 19, 67, 19, 68, 19, 72, 19, 73, 19, 77, 19, 82, 19, 84, 19, 85, 19, 88, 19, 92, 19, 99, 19, 101, 19, 104, 19, 111, 19, 117, 19, 119, 19, 122, 19, 123, 19, 127, 19, 130, 19, 132, 19, 136, 19, 147, 19, 148, 19, 166, 19, 172, 19, 175, 19, 193, 19, 199, 19, 203, 19, 211, 19, 212, 19, 214, 19, 220, 19, 221, 19, 225, 19, 261, 19, 282, 19, 283, 19, 329, 19, 351, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 27, 20, 29, 20, 30, 20, 31, 20, 32, 20, 34, 20, 35, 20, 37, 20, 39, 20, 40, 20, 41, 20, 42, 20, 43, 20, 44, 20, 45, 20, 48, 20, 49, 20, 51, 20, 54, 20, 55, 20, 56, 20, 58, 20, 59, 20, 61, 20, 62, 20, 63, 20, 64, 20, 65, 20, 66, 20, 67, 20, 68, 20, 69, 20, 72, 20, 73, 20, 77, 20, 82, 20, 84, 20, 85, 20, 88, 20, 92, 20, 99, 20, 101, 20, 104, 20, 111, 20, 117, 20, 118, 20, 119, 20, 122, 20, 123, 20, 127, 20, 130, 20, 132, 20, 136, 20, 147, 20, 148, 20, 166, 20, 172, 20, 175, 20, 183, 20, 193, 20, 199, 20, 203, 20, 211, 20, 212, 20, 214, 20, 220, 20, 221, 20, 225, 20, 240, 20, 257, 20, 261, 20, 282, 20, 283, 20, 311, 20, 329, 20, 334, 20, 351, 20, 371, 20, 376, 20, 413, 20, 422, 20, 430, 20, 437, 21, 22, 21, 23, 21, 24, 21, 25, 21, 27, 21, 29, 21, 30, 21, 31, 21, 32, 21, 34, 21, 35, 21, 37, 21, 39, 21, 40, 21, 41, 21, 42, 21, 43, 21, 44, 21, 45, 21, 48, 21, 49, 21, 51, 21, 54, 21, 55, 21, 56, 21, 58, 21, 59, 21, 61, 21, 62, 21, 63, 21, 64, 21, 65, 21, 66, 21, 67, 21, 68, 21, 69, 21, 72, 21, 73, 21, 77, 21, 82, 21, 84, 21, 85, 21, 88, 21, 89, 21, 92, 21, 99, 21, 101, 21, 104, 21, 109, 21, 111, 21, 117, 21, 118, 21, 119, 21, 121, 21, 122, 21, 123, 21, 127, 21, 130, 21, 132, 21, 136, 21, 147, 21, 148, 21, 166, 21, 172, 21, 175, 21, 178, 21, 183, 21, 193, 21, 199, 21, 203, 21, 211, 21, 212, 21, 214, 21, 220, 21, 221, 21, 225, 21, 240, 21, 244, 21, 251, 21, 257, 21, 261, 21, 275, 21, 282, 21, 283, 21, 284, 21, 285, 21, 311, 21, 317, 21, 329, 21, 334, 21, 351, 21, 355, 21, 367, 21, 387, 21, 431, 22, 23, 22, 24, 22, 25, 22, 27, 22, 28, 22, 29, 22, 30, 22, 31, 22, 32, 22, 34, 22, 35, 22, 37, 22, 39, 22, 40, 22, 41, 22, 42, 22, 43, 22, 44, 22, 45, 22, 48, 22, 49, 22, 51, 22, 54, 22, 55, 22, 56, 22, 57, 22, 58, 22, 59, 22, 61, 22, 62, 22, 63, 22, 64, 22, 65, 22, 66, 22, 67, 22, 68, 22, 69, 22, 72, 22, 73, 22, 76, 22, 77, 22, 82, 22, 84, 22, 85, 22, 88, 22, 89, 22, 92, 22, 99, 22, 101, 22, 104, 22, 106, 22, 109, 22, 111, 22, 114, 22, 117, 22, 118, 22, 119, 22, 121, 22, 122, 22, 123, 22, 127, 22, 130, 22, 132, 22, 136, 22, 147, 22, 148, 22, 166, 22, 172, 22, 175, 22, 178, 22, 183, 22, 192, 22, 193, 22, 199, 22, 203, 22, 209, 22, 211, 22, 212, 22, 214, 22, 218, 22, 220, 22, 221, 22, 225, 22, 240, 22, 244, 22, 251, 22, 257, 22, 261, 22, 275, 22, 282, 22, 283, 22, 284, 22, 285, 22, 311, 22, 317, 22, 329, 22, 334, 22, 351, 22, 355, 22, 392, 22, 427, 23, 24, 23, 25, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 34, 23, 35, 23, 37, 23, 39, 23, 40, 23, 41, 23, 42, 23, 43, 23, 44, 23, 45, 23, 48, 23, 49, 23, 51, 23, 54, 23, 55, 23, 56, 23, 57, 23, 58, 23, 59, 23, 61, 23, 62, 23, 63, 23, 64, 23, 65, 23, 66, 23, 67, 23, 68, 23, 69, 23, 72, 23, 73, 23, 74, 23, 76, 23, 77, 23, 82, 23, 84, 23, 85, 23, 88, 23, 89, 23, 92, 23, 96, 23, 99, 23, 101, 23, 104, 23, 106, 23, 108, 23, 109, 23, 111, 23, 114, 23, 117, 23, 118, 23, 119, 23, 121, 24, 25, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 34, 24, 35, 24, 37, 24, 39, 24, 40, 24, 41, 24, 42, 24, 43, 24, 44, 24, 45, 24, 48, 24, 49, 24, 51, 24, 54, 24, 55, 24, 56, 24, 57, 24, 58, 24, 59, 24, 61, 24, 62, 24, 63, 24, 64, 24, 65, 24, 66, 24, 67, 24, 68, 24, 69, 24, 72, 24, 73, 24, 74, 24, 76, 24, 77, 24, 82, 24, 84, 24, 85, 24, 88, 24, 89, 24, 92, 24, 96, 24, 99, 24, 101, 24, 104, 24, 106, 24, 108, 24, 109, 24, 111, 24, 113, 24, 114, 24, 117, 24, 118, 24, 119, 24, 121, 24, 122, 24, 123, 24, 127, 24, 130, 24, 132, 24, 136, 24, 147, 24, 148, 24, 166, 24, 172, 24, 175, 24, 178, 24, 183, 24, 192, 24, 193, 24, 199, 24, 203, 24, 206, 24, 209, 24, 211, 24, 212, 24, 214, 24, 218, 24, 220, 24, 221, 24, 231, 24, 271, 24, 288, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 34, 25, 35, 25, 36, 25, 37, 25, 39, 25, 40, 25, 41, 25, 42, 25, 43, 25, 44, 25, 45, 25, 48, 25, 49, 25, 51, 25, 54, 25, 55, 25, 56, 25, 57, 25, 58, 25, 59, 25, 61, 25, 62, 25, 63, 25, 64, 25, 65, 25, 66, 25, 67, 25, 68, 25, 69, 25, 72, 25, 73, 25, 74, 25, 76, 25, 77, 25, 82, 25, 84, 25, 85, 25, 88, 25, 89, 25, 92, 25, 96, 25, 99, 25, 101, 25, 104, 25, 106, 25, 108, 25, 109, 25, 111, 25, 113, 25, 114, 25, 117, 25, 146, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 39, 26, 40, 26, 41, 26, 42, 26, 43, 26, 44, 26, 45, 26, 48, 26, 49, 26, 51, 26, 54, 26, 55, 26, 56, 26, 57, 26, 58, 26, 59, 26, 61, 26, 62, 26, 63, 26, 64, 26, 65, 26, 66, 26, 67, 26, 68, 26, 69, 26, 72, 26, 73, 26, 74, 26, 76, 26, 77, 26, 82, 26, 84, 26, 85, 26, 88 }
{359,362,253,354,382,398,395,227,349,343,396,351,394,386,397,296,375,346,282,144,340,353,347,324,335,267,391,228,360,255,381,301,50,306,371,277,210,357,355,257,373,383,368,365,366,345,387,393,376,173,372,229,369,389,332,101,336,337,61,303,197,252,330,310,311,377,350,392,344,204,321,384,224,259,315,236,299,196,333,319,281,367,352,385,295,203,287,313,370,331,304,316,323,390,260,361,318,247,314,328,312,388,246,288,320,325,342,348,290,326,293,374,219,276,258,271,305,266,264,249,280,334,356,358,206,112,283,292,213,235,341,217,278,220,110,185,309,294,160,263,251,239,364,218,261,250,302,378,297,135,268,329,317,275,194,285,77,256,308,363,231,89,241,24,178,221,289,274,183,338,75,201,149,214,291,202,128,198,279,327,300,100,272,234,164,108,244,68,208,269,163,262,95,273,181,380,284,307,153,298,238,240,192,90,162,136,216,205,44,159,184,237,65,182,179,339,155,230,322,102,211,116,226,106,142,286,60,193,215,167,21,171,124,225,39,180,125,174,248,212,172,97,170,47,245,158,223,168,200,28,146,243,148,58,98,190,103,188,242,195,72,140,111,175,265,96,141,32,126,109,150,104,189,73,233,209,270,59,127,137,207,118,133,165,254,64,115,152,199,51,132,13,177,105,134,119,67,57,145,176,186,161,122,147,46,85,56,92,53,166,91,121,156,113,131,187,123,25,81,88,86,130,63,14,52,107,84,169,93,18,22,38,20,19,114,42,37,157,17,48,62,35,70,31,6,139,11,94,129,138,143,30,41,379,79,83,87,55,54,66,191,3,29,82,23,4,27,7,232,74,49,12,33,2,5,8,222,16,80,1,36,154,120,69,9,99,26,76,34,10,71,78,0,40,15,151,117,43,45}

{20,210,253,270,263,51,294,119,40,216,351,240,231,386,264,163,395,239,225,144,100,26,61,301,316,331,275,228,165,4,180,291,39,32,337,108,304,131,14,197,344,186,340,176,366,78,335,385,327,167,94,202,116,372,72,62,332,371,21,226,90,97,330,242,311,376,147,211,34,109,164,69,320,149,145,219,310,140,324,135,43,95,285,58,112,347,44,322,152,362,359,80,323,199,198,396,106,111,123,75,312,338,238,389,192,259,120,25,142,278,292,302,47,92,261,67,35,84,11,249,334,146,93,358,189,88,345,245,158,218,229,179,336,12,77,201,352,185,133,256,31,393,257,215,220,16,184,160,127,387,224,157,37,156,46,273,128,137,188,288,397,287,171,6,70,30,41,305,183,325,217,1,266,56,170,125,129,318,68,64,42,317,173,124,314,237,162,251,107,260,339,50,151,9,269,380,364,91,15,289,206,354,252,33,350,134,381,365,89,159,155,141,65,369,370,254,390,182,29,63,307,86,36,205,382,110,244,193,349,101,53,117,191,296,22,342,280,130,265,297,103,284,271,3,272,194,277,121,356,38,49,27,392,290,114,200,276,377,81,76,115,295,168,175,309,383,378,10,209,59,360,234,28,361,233,328,300,8,105,241,343,74,375,187,243,230,82,73,222,154,214,13,255,190,2,341,99,279,246,102,281,7,122,178,293,60,83,394,24,306,177,98,23,274,204,208,348,196,166,17,373,96,353,52,57,267,227,169,118,172,319,181,18,19,326,363,161,45,374,195,346,66,221,282,321,139,87,308,298,153,143,268,203,379,79,150,248,55,384,355,212,258,329,368,333,207,236,247,138,232,315,223,283,213,5,174,286,250,136,357,85,262,303,132,148,104,299,235,54,313,71,388,0,113,391,398,367,126,48}

Returns: {0, 2, 0, 7, 0, 19, 0, 32, 0, 163, 0, 230, 0, 332, 1, 2, 1, 3, 1, 7, 1, 19, 1, 36, 2, 3, 2, 7, 2, 8, 2, 9, 2, 15, 2, 18, 2, 19, 3, 7, 3, 8, 3, 9, 3, 15, 3, 18, 3, 19, 3, 35, 3, 113, 3, 115, 3, 276, 4, 7, 4, 8, 4, 9, 4, 11, 4, 15, 4, 17, 4, 18, 4, 19, 4, 25, 4, 117, 4, 118, 4, 139, 5, 6, 5, 7, 5, 8, 5, 9, 5, 11, 5, 15, 5, 17, 5, 18, 5, 19, 5, 20, 5, 23, 5, 25, 5, 27, 5, 32, 5, 55, 5, 58, 5, 226, 5, 253, 5, 289, 6, 7, 6, 8, 6, 9, 6, 11, 6, 15, 6, 17, 6, 18, 6, 19, 6, 20, 6, 23, 6, 24, 6, 25, 6, 27, 6, 84, 6, 137, 7, 8, 7, 9, 7, 11, 7, 15, 7, 17, 7, 18, 7, 19, 7, 20, 7, 23, 7, 24, 7, 25, 7, 27, 7, 29, 7, 32, 7, 36, 7, 49, 7, 55, 7, 149, 7, 176, 7, 232, 7, 295, 8, 9, 8, 11, 8, 15, 8, 17, 8, 18, 8, 19, 8, 20, 8, 22, 8, 23, 8, 24, 8, 25, 8, 27, 8, 29, 8, 31, 8, 32, 8, 36, 8, 49, 8, 55, 8, 58, 8, 156, 8, 163, 8, 208, 8, 335, 8, 352, 8, 393, 9, 10, 9, 11, 9, 12, 9, 13, 9, 15, 9, 16, 9, 17, 9, 18, 9, 19, 9, 20, 9, 22, 9, 23, 9, 24, 9, 25, 9, 27, 9, 29, 9, 31, 9, 32, 9, 35, 9, 36, 9, 49, 9, 55, 9, 72, 9, 112, 9, 131, 9, 206, 10, 11, 10, 12, 10, 13, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 20, 10, 21, 10, 22, 11, 12, 11, 13, 11, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 27, 11, 29, 11, 31, 11, 32, 11, 33, 11, 35, 11, 36, 11, 39, 11, 49, 11, 61, 11, 97, 11, 102, 11, 162, 11, 201, 12, 13, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 27, 12, 29, 12, 31, 12, 32, 12, 33, 12, 35, 12, 36, 12, 39, 12, 49, 12, 61, 12, 75, 12, 129, 12, 160, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 27, 14, 29, 14, 31, 14, 32, 14, 33, 14, 35, 14, 36, 14, 39, 14, 49, 14, 80, 14, 113, 14, 115, 14, 117, 14, 118, 14, 139, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 27, 15, 29, 15, 31, 15, 32, 15, 33, 15, 35, 15, 36, 15, 39, 15, 49, 15, 51, 15, 55, 15, 58, 15, 184, 15, 190, 16, 17, 16, 18, 16, 19, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 27, 17, 29, 17, 31, 17, 32, 17, 33, 17, 35, 17, 36, 17, 39, 17, 49, 17, 51, 17, 61, 17, 75, 17, 97, 17, 102, 17, 141, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 27, 18, 29, 18, 31, 18, 32, 18, 33, 18, 35, 18, 36, 18, 39, 18, 49, 18, 51, 18, 55, 18, 58, 18, 72, 18, 222, 18, 233, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 27, 19, 29, 19, 31, 19, 32, 19, 33, 19, 35, 19, 36, 19, 39, 19, 49, 19, 51, 19, 55, 19, 58, 19, 60, 19, 77, 19, 135, 19, 138, 19, 149, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 27, 20, 28, 20, 29, 20, 31, 20, 32, 20, 33, 20, 35, 20, 36, 20, 39, 20, 49, 20, 51, 20, 54, 20, 55, 20, 58, 20, 59, 20, 60, 20, 69, 20, 77, 20, 125, 20, 134, 20, 156, 20, 181, 21, 22, 21, 23, 21, 24, 21, 25, 21, 27, 21, 28, 21, 29, 21, 31, 21, 32, 21, 33, 21, 35, 21, 36, 21, 39, 21, 45, 21, 49, 21, 51, 21, 54, 21, 55, 21, 58, 21, 59, 21, 60, 21, 61, 21, 69, 21, 72, 21, 77, 21, 85, 21, 125, 21, 134, 21, 156, 21, 161, 21, 163, 21, 170, 21, 187, 21, 208, 21, 234, 21, 249, 21, 366, 21, 386, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 31, 22, 32, 22, 33, 22, 35, 22, 36, 22, 39, 22, 45, 22, 49, 22, 51, 22, 54, 22, 55, 22, 58, 22, 59, 22, 60, 22, 61, 22, 69, 22, 72, 22, 77, 22, 85, 22, 125, 22, 134, 22, 135, 22, 138, 22, 149, 22, 156, 22, 161, 22, 163, 22, 170, 22, 187, 22, 208, 22, 212, 22, 226, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 31, 23, 32, 23, 33, 23, 35, 23, 36, 23, 39, 23, 45, 23, 49, 23, 51, 23, 54, 23, 55, 23, 56, 23, 58, 23, 59, 23, 60, 23, 61, 23, 69, 23, 72, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 35, 24, 36, 24, 39, 24, 45, 24, 49, 24, 51, 24, 54, 24, 55, 24, 56, 24, 57, 24, 58, 24, 59, 24, 60, 24, 61, 24, 70, 24, 79, 24, 91, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 35, 25, 36, 25, 37, 25, 38, 25, 39, 25, 45, 25, 49, 25, 51, 25, 54, 25, 55, 25, 56, 25, 57, 25, 58, 25, 59, 25, 60, 25, 61, 25, 89, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 39, 26, 45, 26, 49, 26, 51, 26, 54, 26, 55, 26, 56, 26, 57, 26, 58, 26, 59, 26, 60, 26, 61, 26, 62, 26, 63, 26, 69, 26, 72, 26, 76, 26, 80, 26, 113, 26, 115, 26, 117, 26, 153, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 38, 27, 39, 27, 45, 27, 49, 27, 51, 27, 54, 27, 55, 27, 56, 27, 57, 27, 58, 27, 59, 27, 60, 27, 61, 27, 62, 27, 63, 27, 64, 27, 69, 27, 72, 27, 73, 27, 75, 27, 77, 27, 85, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 38, 28, 39, 28, 45, 28, 49, 28, 51, 28, 54, 28, 55, 28, 56, 28, 57, 28, 58, 28, 59, 28, 60, 28, 61, 28, 62, 28, 63, 28, 64, 28, 69, 28, 72, 28, 73, 28, 75, 28, 77, 28, 85, 28, 112, 28, 124, 28, 125, 28, 134, 28, 135, 28, 138, 28, 149, 28, 164, 28, 184, 28, 229, 28, 283, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 45, 29, 49, 29, 51, 29, 54, 29, 55, 29, 56, 29, 57, 29, 58, 29, 59, 29, 60, 29, 61, 29, 62, 29, 63, 29, 64, 29, 69, 29, 70, 29, 72, 29, 73, 29, 75, 29, 76, 29, 77, 29, 85, 29, 97, 29, 102, 29, 112, 29, 124, 29, 125, 29, 134, 29, 135, 29, 138, 29, 149, 29, 154, 29, 156, 29, 161, 29, 163, 29, 170, 29, 187, 29, 208, 29, 212, 29, 226, 29, 230, 29, 291, 29, 344, 29, 365, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 45, 30, 49, 30, 51, 30, 54, 30, 55, 30, 56, 30, 57, 30, 58, 30, 59, 30, 60, 30, 61, 30, 62, 30, 63, 30, 64, 30, 69, 30, 70, 30, 72, 30, 73, 30, 75, 30, 76, 30, 77, 30, 80, 30, 84, 30, 85, 30, 97, 30, 102, 30, 112, 30, 119, 30, 124, 30, 125, 30, 128, 30, 134, 30, 135, 30, 138, 30, 149, 30, 154, 30, 156, 30, 164, 30, 168, 30, 194, 30, 235, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 42, 31, 43, 31, 45, 31, 49, 31, 51, 31, 54, 31, 55, 31, 56, 31, 57, 31, 58, 31, 59, 31, 60, 31, 61, 31, 62, 31, 63, 31, 64, 31, 69, 31, 70, 31, 72, 31, 73, 31, 74, 31, 75, 31, 76, 31, 77, 31, 80, 31, 84, 31, 85, 31, 110, 31, 127, 31, 174, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 42, 32, 43, 32, 44, 32, 45, 32, 49, 32, 51, 32, 54, 32, 55, 32, 56, 32, 57, 32, 58, 32, 59, 32, 60, 32, 61, 32, 62, 32, 63, 32, 64, 32, 69, 32, 70, 32, 72, 32, 73, 32, 74, 32, 75, 32, 76, 32, 77, 32, 80, 32, 84, 32, 85, 32, 86, 32, 94, 32, 97, 32, 102, 32, 112, 32, 119, 32, 124, 32, 125, 32, 128, 32, 131, 32, 134, 32, 135, 32, 138, 32, 149, 32, 154, 32, 156, 32, 161, 32, 163, 32, 170, 32, 181, 32, 187, 32, 208, 32, 212, 32, 226, 32, 230, 32, 234, 32, 243, 32, 249, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 42, 33, 43, 33, 44, 33, 45, 33, 49, 33, 51, 33, 54, 33, 55, 33, 56, 33, 57, 33, 58, 33, 59, 33, 60, 33, 61, 33, 62, 33, 63, 33, 64, 33, 69, 33, 70, 33, 72, 33, 73, 33, 74, 33, 75, 33, 76, 33, 77, 33, 80, 33, 84, 33, 85, 33, 86, 33, 94, 33, 97, 33, 102, 33, 112, 33, 119, 33, 124, 33, 125, 33, 128, 33, 131, 33, 133, 33, 134, 33, 135, 33, 138, 33, 149, 33, 154, 33, 156, 33, 161, 33, 163, 33, 170, 33, 181, 33, 185, 33, 187, 33, 192, 33, 203, 33, 208, 33, 212, 33, 226, 33, 230, 33, 234, 33, 243, 33, 249, 33, 267, 34, 35, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 42, 34, 43, 34, 44, 34, 45, 34, 49, 34, 51, 34, 54, 34, 55, 34, 56, 34, 57, 34, 58, 34, 59, 34, 60, 34, 61, 34, 62, 34, 63, 34, 64, 34, 68, 34, 69, 34, 70, 34, 72, 35, 36, 35, 37, 35, 38, 35, 39, 35, 40, 35, 42, 35, 43, 35, 44, 35, 45, 35, 49, 35, 51, 35, 54, 35, 55, 35, 56, 35, 57, 35, 58, 35, 59, 35, 60, 35, 61, 35, 62, 35, 63, 35, 64, 35, 68, 35, 69, 35, 70, 35, 72, 35, 73, 35, 74, 35, 75, 35, 76, 35, 77, 35, 80, 35, 84, 35, 85, 35, 86, 35, 94, 35, 97, 35, 102, 35, 112, 35, 114, 35, 119, 35, 124, 35, 125, 35, 128, 35, 129, 35, 131, 35, 133, 35, 134, 35, 135, 35, 138, 35, 149, 35, 154, 35, 156, 35, 161, 35, 163, 35, 164, 35, 168, 35, 170, 35, 172, 35, 176, 35, 181, 35, 185, 35, 187, 36, 37, 36, 38, 36, 39, 36, 40, 36, 41, 36, 42, 36, 43, 36, 44, 36, 45, 36, 49, 36, 51, 36, 54, 36, 55, 36, 56, 36, 57, 36, 58, 36, 59, 36, 60, 36, 61, 36, 62, 36, 63, 36, 64, 36, 68, 36, 69, 36, 70, 36, 72, 36, 73, 36, 74, 36, 75, 36, 76, 36, 77, 36, 79, 36, 80, 36, 84, 36, 85, 36, 86, 36, 90, 37, 38, 37, 39, 37, 40, 37, 41, 37, 42, 37, 43, 37, 44, 37, 45, 37, 49, 37, 50, 37, 51, 37, 52, 37, 54, 37, 55, 37, 56, 37, 57, 37, 58, 37, 59, 37, 60, 37, 61, 37, 62, 37, 63, 37, 64, 37, 68, 37, 69, 37, 70, 37, 72, 37, 73, 37, 74, 37, 75, 37, 76, 37, 77, 37, 79, 37, 80, 37, 84, 37, 85, 37, 86, 37, 90, 37, 94, 37, 97, 37, 102, 37, 112, 37, 114, 37, 119, 37, 124, 37, 125, 37, 128, 37, 129, 37, 131, 37, 133, 37, 134, 37, 135, 37, 138, 37, 143, 37, 149, 37, 154, 37, 156, 37, 161, 37, 163, 37, 164, 37, 168, 37, 170, 37, 172, 37, 176, 37, 181, 37, 282, 37, 290, 37, 314, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 48, 38, 49, 38, 50, 38, 51, 38, 52, 38, 54, 38, 55, 38, 56, 38, 57, 38, 58, 38, 59, 38, 60, 38, 61, 38, 62, 38, 63, 38, 64, 38, 66, 38, 68, 38, 69, 38, 70, 38, 72, 38, 73, 38, 74, 38, 75, 38, 76, 38, 77, 38, 78, 38, 79, 38, 80, 38, 84, 38, 85, 38, 86, 38, 90, 38, 94, 38, 97, 38, 102, 38, 103, 38, 112, 38, 113, 38, 114, 38, 119, 38, 124, 38, 125, 38, 128, 38, 129, 38, 131, 38, 133, 38, 134, 38, 135, 38, 138, 38, 143, 38, 149, 38, 154, 38, 156, 38, 161, 38, 163, 38, 164, 38, 168, 38, 170, 38, 172, 38, 176, 38, 181, 38, 185, 38, 187, 38, 192, 38, 203, 38, 208, 38, 212, 38, 226, 38, 230, 38, 234, 38, 243, 38, 249, 38, 267, 38, 291, 38, 323, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 48, 39, 49, 39, 50, 39, 51, 39, 52, 39, 54, 39, 55, 39, 56, 39, 57, 39, 58, 39, 59, 39, 60, 39, 61, 39, 62, 39, 63, 39, 64, 39, 66, 39, 68, 39, 69, 39, 70, 39, 72, 39, 73, 39, 74, 39, 75, 39, 76, 39, 77, 39, 78, 39, 79, 39, 80, 39, 84, 39, 85, 39, 86, 39, 87, 39, 90, 39, 94, 39, 97, 39, 102, 39, 103, 39, 108, 39, 112, 39, 113, 39, 114, 39, 115, 39, 117, 39, 118, 39, 119, 39, 124, 39, 125, 39, 128, 39, 129, 39, 131, 39, 133, 39, 134, 39, 135, 39, 138, 39, 143, 39, 149, 39, 154, 39, 156, 39, 161, 39, 163, 39, 164, 39, 168, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 48 }
{125,119,130,103,123,129,131,127,128,122,120,126,124,89,117,113,94,121,116,118,115,99,106,112,110,97,105,80,101,72,77,95,104,62,102,88,92,107,16,111,75,93,56,96,86,90,91,69,85,78,81,70,34,82,108,74,55,64,58,79,54,47,66,60,63,35,43,100,71,114,50,87,68,83,38,42,52,46,59,49,65,28,109,15,73,84,76,67,48,57,61,24,11,51,22,37,13,31,5,27,53,44,32,18,30,17,29,33,19,98,45,41,9,10,20,14,40,39,1,7,21,25,23,36,12,8,2,4,6,26,0,3}

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

Returns: {0, 1, 0, 3, 0, 13, 0, 27, 0, 29, 0, 33, 0, 42, 0, 56, 0, 60, 0, 61, 0, 66, 0, 75, 0, 111, 1, 3, 1, 19, 2, 3, 2, 12, 3, 4, 3, 9, 3, 10, 3, 13, 3, 16, 3, 27, 3, 29, 3, 30, 4, 5, 4, 7, 4, 9, 4, 10, 4, 13, 4, 14, 4, 15, 4, 16, 4, 21, 4, 25, 5, 7, 5, 8, 5, 9, 5, 10, 5, 13, 5, 14, 5, 15, 5, 16, 5, 21, 5, 25, 5, 27, 5, 29, 5, 30, 5, 33, 5, 38, 5, 83, 5, 92, 5, 112, 5, 119, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 14, 6, 15, 6, 16, 6, 18, 6, 20, 6, 21, 6, 22, 6, 25, 6, 27, 6, 29, 6, 30, 6, 33, 6, 38, 6, 47, 6, 72, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 7, 15, 7, 16, 7, 18, 7, 20, 7, 21, 7, 22, 7, 23, 7, 24, 7, 25, 7, 26, 7, 27, 7, 28, 7, 29, 7, 30, 7, 33, 7, 35, 7, 38, 7, 40, 7, 42, 7, 52, 7, 107, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 16, 8, 17, 8, 18, 8, 19, 8, 20, 8, 21, 8, 22, 8, 23, 8, 24, 8, 25, 8, 26, 8, 27, 8, 28, 8, 29, 8, 30, 8, 31, 8, 33, 8, 35, 8, 38, 8, 40, 8, 42, 8, 47, 8, 51, 8, 52, 8, 56, 8, 60, 8, 61, 8, 70, 8, 79, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 19, 9, 20, 9, 21, 9, 22, 9, 23, 9, 24, 9, 25, 9, 26, 9, 27, 9, 28, 9, 29, 9, 30, 9, 31, 9, 33, 9, 35, 9, 36, 9, 38, 9, 40, 9, 42, 9, 47, 9, 51, 9, 52, 9, 56, 9, 58, 9, 60, 9, 61, 9, 65, 9, 81, 9, 91, 9, 94, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 20, 10, 21, 10, 22, 10, 23, 10, 24, 10, 25, 10, 26, 10, 27, 10, 28, 10, 29, 10, 30, 10, 31, 10, 33, 10, 35, 10, 36, 10, 38, 10, 40, 10, 42, 10, 44, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 26, 11, 27, 11, 28, 11, 29, 11, 30, 11, 31, 11, 33, 11, 35, 11, 36, 11, 38, 11, 40, 11, 42, 11, 44, 11, 47, 11, 49, 11, 51, 11, 52, 11, 56, 11, 57, 11, 58, 11, 60, 11, 61, 11, 65, 11, 66, 11, 74, 11, 81, 11, 83, 11, 92, 11, 96, 11, 98, 11, 127, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 26, 12, 27, 12, 28, 12, 29, 12, 30, 12, 31, 12, 32, 12, 33, 12, 34, 12, 35, 12, 36, 12, 38, 12, 40, 12, 41, 12, 42, 12, 44, 12, 47, 12, 48, 12, 49, 12, 51, 12, 52, 12, 55, 12, 56, 12, 57, 12, 58, 12, 60, 12, 61, 12, 65, 12, 66, 12, 70, 12, 74, 12, 75, 12, 81, 12, 83, 12, 97, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 27, 14, 28, 14, 29, 14, 30, 14, 31, 14, 32, 14, 33, 14, 34, 14, 35, 14, 36, 14, 38, 14, 40, 14, 41, 14, 42, 14, 44, 14, 45, 14, 47, 14, 48, 14, 49, 14, 50, 14, 51, 14, 52, 14, 55, 14, 56, 14, 57, 14, 58, 14, 60, 14, 61, 14, 63, 14, 65, 14, 66, 14, 70, 14, 74, 14, 100, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 27, 15, 28, 15, 29, 15, 30, 15, 31, 15, 32, 15, 33, 15, 34, 15, 35, 15, 36, 15, 38, 15, 40, 15, 41, 15, 42, 15, 44, 15, 45, 15, 46, 15, 47, 15, 48, 15, 49, 15, 50, 15, 51, 15, 52, 15, 55, 15, 56, 15, 57, 15, 58, 15, 60, 15, 61, 15, 63, 15, 65, 15, 66, 15, 70, 15, 74, 15, 100, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 29, 16, 30, 16, 31, 16, 32, 16, 33, 16, 34, 16, 35, 16, 36, 16, 38, 16, 40, 16, 41, 16, 42, 16, 44, 16, 45, 16, 46, 16, 47, 16, 48, 16, 49, 16, 50, 16, 51, 16, 52, 16, 55, 16, 56, 16, 57, 16, 58, 16, 60, 16, 61, 16, 62, 16, 63, 16, 64, 16, 65, 16, 66, 16, 70, 16, 74, 16, 75, 16, 77, 16, 81, 16, 83, 16, 91, 16, 94, 16, 108, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 26, 17, 27, 17, 28, 17, 29, 17, 30, 17, 31, 17, 32, 17, 33, 17, 34, 17, 35, 17, 36, 17, 38, 17, 40, 17, 41, 17, 42, 17, 43, 17, 44, 17, 45, 17, 46, 17, 47, 17, 48, 17, 49, 17, 50, 17, 51, 17, 52, 17, 53, 17, 55, 17, 56, 17, 57, 17, 58, 17, 60, 17, 61, 17, 62, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 27, 18, 28, 18, 29, 18, 30, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 36, 18, 38, 18, 40, 18, 41, 18, 42, 18, 43, 18, 44, 18, 45, 18, 46, 18, 47, 18, 48, 18, 49, 18, 50, 18, 51, 18, 52, 18, 53, 18, 55, 18, 56, 18, 57, 18, 58, 18, 60, 18, 61, 18, 62, 18, 63, 18, 64, 18, 65, 18, 66, 18, 70, 18, 74, 18, 75, 18, 76, 18, 77, 18, 81, 18, 83, 18, 91, 18, 92, 18, 96, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 38, 19, 40, 19, 41, 19, 42, 19, 43, 19, 44, 19, 45, 19, 46, 19, 47, 19, 48, 19, 49, 19, 50, 19, 51, 19, 52, 19, 53, 19, 55, 19, 56, 19, 57, 19, 58, 19, 59, 19, 60, 19, 61, 19, 62, 19, 63, 19, 64, 19, 65, 19, 66, 19, 70, 19, 74, 19, 75, 19, 76, 19, 77, 19, 79, 19, 81, 19, 83, 19, 91, 19, 92, 19, 94, 19, 96, 19, 98, 19, 112, 19, 113, 19, 119, 19, 125, 19, 128, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36, 21, 37, 21, 38, 21, 40, 21, 41, 21, 42, 21, 43, 21, 44, 21, 45, 21, 46, 21, 47, 21, 48, 21, 49, 21, 50, 21, 51, 21, 52, 21, 53, 21, 55, 21, 56, 21, 57, 21, 58, 21, 59, 21, 60, 21, 61, 21, 62, 21, 63, 21, 64, 21, 65, 21, 66, 21, 70, 21, 74, 21, 75, 21, 76, 21, 77, 21, 79, 21, 81, 21, 83, 21, 91, 21, 92, 21, 94, 21, 95, 21, 96, 21, 98, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 36, 23, 37, 23, 38, 23, 40, 23, 41, 23, 42, 23, 43, 23, 44, 23, 45, 23, 46, 23, 47, 23, 48, 23, 49, 23, 50, 23, 51, 23, 52, 23, 53, 23, 55, 23, 56, 23, 57, 23, 58, 23, 59, 23, 60, 23, 61, 23, 62, 23, 63, 23, 64, 23, 65, 23, 66, 23, 70, 23, 74, 23, 75, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 37, 24, 38, 24, 40, 24, 41, 24, 42, 24, 43, 24, 44, 24, 45, 24, 46, 24, 47, 24, 48, 24, 49, 24, 50, 24, 51, 24, 52, 24, 53, 24, 55, 24, 56, 24, 57, 24, 58, 24, 59, 24, 60, 24, 61, 24, 62, 24, 63, 24, 64, 24, 65, 24, 66, 24, 68, 24, 70, 24, 74, 24, 75, 24, 76, 24, 77, 24, 79, 24, 81, 24, 83, 24, 88, 24, 91, 24, 92, 24, 94, 24, 95, 24, 96, 24, 97, 24, 98, 24, 99, 24, 103, 24, 105, 24, 112, 24, 113, 24, 119, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 38, 25, 39, 25, 40, 25, 41, 25, 42, 25, 43, 25, 44, 25, 45, 25, 46, 25, 47, 25, 48, 25, 49, 25, 50, 25, 51, 25, 52, 25, 53, 25, 55, 25, 56, 25, 57, 25, 58, 25, 59, 25, 60, 25, 61, 25, 62, 25, 63, 25, 64, 25, 65, 25, 66, 25, 68, 25, 70, 25, 72, 25, 74, 25, 75, 25, 76, 25, 77, 25, 78, 25, 79, 25, 81, 25, 83, 25, 88, 25, 91, 25, 92, 25, 94, 25, 95, 25, 96, 25, 97, 25, 98, 25, 107, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 39, 26, 40, 26, 41, 26, 42, 26, 43, 26, 44, 26, 45, 26, 46, 26, 47, 26, 48, 26, 49, 26, 50, 26, 51, 26, 52, 26, 53, 26, 55, 26, 56, 26, 57, 26, 58, 26, 59, 26, 60, 26, 61, 26, 62, 26, 63, 26, 64, 26, 65, 26, 66, 26, 68, 26, 70, 26, 72, 26, 74, 26, 75, 26, 76, 26, 77, 26, 78, 26, 79, 26, 81, 26, 83, 26, 88, 26, 91, 26, 92, 26, 94, 26, 95, 26, 96, 26, 97, 26, 98, 26, 99, 26, 103, 26, 105, 26, 112, 26, 113, 26, 124, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 38, 27, 39, 27, 40, 27, 41, 27, 42, 27, 43, 27, 44, 27, 45, 27, 46, 27, 47, 27, 48, 27, 49, 27, 50, 27, 51, 27, 52, 27, 53, 27, 55, 27, 56, 27, 57, 27, 58, 27, 59, 27, 60, 27, 61, 27, 62, 27, 63, 27, 64, 27, 65, 27, 66, 27, 68, 27, 70, 27, 72, 27, 74, 27, 75, 27, 76, 27, 77, 27, 78, 27, 79, 27, 81, 27, 83, 27, 88, 27, 91, 27, 92, 27, 94, 27, 95, 27, 96, 27, 97, 27, 98, 27, 99, 27, 102, 27, 103, 27, 105, 27, 108, 27, 112, 27, 113, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 38, 28, 39, 28, 40, 28, 41, 28, 42, 28, 43, 28, 44, 28, 45, 28, 46, 28, 47, 28, 48, 28, 49, 28, 50, 28, 51, 28, 52, 28, 53, 28, 55, 28, 56, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 40, 29, 41, 29, 42, 29, 43, 29, 44, 29, 45, 29, 46, 29, 47, 29, 48, 29, 49, 29, 50, 29, 51, 29, 52, 29, 53, 29, 55, 29, 56, 29, 57, 29, 58, 29, 59, 29, 60, 29, 61, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 44, 30, 45, 30, 46, 30, 47, 30, 48, 30, 49, 30, 50, 30, 51, 30, 52, 30, 53, 30, 55, 30, 56, 30, 57, 30, 58, 30, 59, 30, 60, 30, 61, 30, 62, 30, 63, 30, 64, 30, 65, 30, 66, 30, 68, 30, 70, 30, 72, 30, 74, 30, 75, 30, 76, 30, 77, 30, 78, 30, 79, 30, 81, 30, 83, 30, 88, 30, 89, 30, 91, 30, 92, 30, 93, 30, 94, 30, 95, 30, 96, 30, 97, 30, 98, 30, 99, 30, 102, 30, 103, 30, 104, 30, 105, 30, 108, 30, 112, 30, 113, 30, 115, 30, 119, 30, 125, 30, 127, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 40, 31, 41, 31, 42, 31, 43, 31, 44, 31, 45, 31, 46, 31, 47, 31, 48, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 41, 32, 42, 32, 43, 32, 44, 32, 45, 32, 46, 32, 47, 32, 48, 32, 49, 32, 50, 32, 51, 32, 52, 32, 53, 32, 55, 32, 56, 32, 57, 32, 58, 32, 59, 32, 60, 32, 61, 32, 62, 32, 63, 32, 64, 32, 65, 32, 66, 32, 68, 32, 70, 32, 72, 32, 74, 32, 75, 32, 76, 32, 77, 32, 78, 32, 79, 32, 81, 32, 83, 32, 88, 32, 89, 32, 91, 32, 92, 32, 93, 32, 94, 32, 95, 32, 96, 32, 97, 32, 98, 32, 99, 32, 102, 32, 103, 32, 123, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 41, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 47, 33, 48, 33, 49, 33, 50, 33, 51, 33, 52, 33, 53, 33, 55, 33, 56, 33, 57, 33, 58, 33, 59, 33, 60, 33, 61, 33, 62, 33, 63, 33, 64, 33, 65, 33, 66, 33, 68, 33, 70, 33, 72, 33, 74, 33, 75, 33, 76, 33, 77, 33, 78, 33, 79, 33, 80, 33, 81, 33, 83, 33, 88, 33, 89, 33, 91, 33, 92, 33, 93, 33, 94, 33, 95, 33, 96, 33, 97, 33, 98, 33, 99, 33, 101, 33, 102, 33, 103, 33, 107, 34, 35, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 41, 34, 42, 34, 43, 34, 44, 34, 45, 34, 46, 34, 47, 34, 48, 34, 49, 34, 50, 34, 51, 34, 52, 34, 53, 34, 55, 34, 56, 34, 57 }
{241,286,288,23,86,255,297,249,271,207,251,84,14,158,263,312,120,50,126,97,308,125,303,269,220,195,132,240,257,45,38,275,196,259,265,314,310,48,319,315,264,276,270,142,174,129,82,278,321,231,215,295,326,128,225,285,68,211,197,106,227,262,322,185,318,253,108,62,290,289,273,311,228,43,247,182,294,266,218,323,181,27,219,287,101,85,191,58,229,283,172,52,226,61,151,245,186,233,66,104,75,217,305,178,165,94,261,134,183,173,203,252,223,145,291,250,121,324,29,166,202,236,171,73,76,6,237,200,88,37,300,1,55,124,144,212,51,194,208,60,103,206,210,65,260,176,179,122,304,79,150,143,168,316,221,163,56,46,279,18,243,216,4,72,274,2,193,293,320,277,148,222,313,258,198,188,136,238,74,213,69,187,115,244,54,140,110,317,284,32,307,117,78,49,189,138,156,25,292,36,175,299,114,169,152,71,306,96,164,268,155,41,192,301,102,157,248,135,17,180,123,224,0,147,281,205,93,57,87,39,111,127,246,184,80,139,100,118,204,209,235,33,99,34,256,98,107,20,272,105,16,133,40,214,116,112,89,64,177,91,81,67,282,7,170,199,21,146,109,11,113,242,201,267,232,31,24,22,161,35,59,95,154,309,30,230,10,254,137,42,9,28,19,167,44,47,160,234,149,141,3,130,325,53,296,12,298,162,13,92,26,5,190,239,83,15,280,302,70,131,90,153,63,77,119,159,8}

{241,198,288,23,86,209,290,247,243,207,251,33,14,54,116,166,120,17,122,56,308,125,295,46,220,77,75,185,249,5,38,58,196,259,265,212,310,314,301,134,240,266,181,2,128,129,82,278,321,51,93,61,178,174,222,69,68,101,197,106,227,53,322,11,318,36,72,62,137,289,126,311,228,34,257,182,27,215,199,161,270,88,219,287,211,85,175,275,0,283,172,52,226,303,151,245,204,218,66,104,132,217,264,326,165,94,261,210,183,71,203,252,223,124,280,250,121,49,29,48,148,144,171,73,76,6,237,200,294,24,300,1,55,145,74,255,231,186,208,60,26,206,59,40,205,41,158,273,304,30,150,143,44,119,47,136,97,312,20,18,80,216,4,108,274,13,193,83,160,293,202,225,313,213,316,262,117,50,236,28,42,169,115,244,305,258,110,111,37,32,284,163,78,142,189,138,35,25,147,253,191,87,114,187,22,173,188,21,155,268,164,324,307,319,102,157,286,135,277,180,98,224,190,99,109,10,43,156,299,31,317,15,246,184,285,139,3,118,279,269,235,84,140,276,256,123,107,260,272,154,16,133,65,214,297,112,89,64,177,91,103,67,282,7,192,233,96,146,281,323,57,242,201,141,79,39,170,152,194,113,81,95,176,100,232,230,292,267,168,263,9,315,19,167,179,105,320,234,149,254,309,130,325,306,296,8,298,12,70,162,271,45,229,239,238,127,291,302,221,131,90,153,63,195,248,159,92}

Returns: {1, 5, 1, 7, 1, 9, 1, 110, 1, 120, 1, 127, 1, 174, 5, 7, 5, 9, 5, 24, 5, 50, 5, 57, 5, 142, 5, 239, 6, 51, 6, 68, 7, 8, 7, 9, 7, 10, 7, 24, 7, 74, 8, 9, 8, 10, 8, 24, 8, 74, 8, 95, 8, 160, 9, 10, 9, 14, 9, 24, 9, 27, 9, 49, 9, 50, 9, 57, 9, 110, 10, 14, 10, 23, 10, 24, 10, 27, 10, 65, 10, 74, 11, 17, 11, 29, 11, 30, 11, 129, 11, 199, 11, 241, 13, 16, 13, 17, 13, 46, 13, 56, 13, 67, 13, 87, 13, 132, 13, 184, 14, 16, 14, 17, 14, 191, 14, 254, 15, 16, 15, 23, 15, 24, 15, 25, 15, 44, 15, 90, 15, 119, 16, 17, 16, 18, 16, 21, 16, 116, 16, 191, 17, 18, 17, 19, 17, 29, 17, 30, 17, 73, 17, 81, 17, 159, 17, 218, 18, 19, 18, 21, 18, 116, 18, 133, 18, 147, 19, 20, 19, 21, 19, 26, 19, 29, 19, 46, 19, 56, 19, 67, 19, 87, 19, 93, 19, 132, 19, 156, 20, 21, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 29, 21, 45, 21, 53, 21, 116, 21, 133, 22, 23, 22, 51, 22, 68, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 37, 23, 157, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 49, 24, 50, 24, 54, 24, 57, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 43, 25, 45, 25, 46, 25, 56, 25, 67, 25, 149, 25, 192, 25, 323, 26, 27, 26, 28, 26, 29, 26, 30, 26, 32, 26, 43, 26, 45, 26, 46, 26, 53, 26, 56, 26, 67, 26, 100, 27, 28, 27, 29, 27, 30, 27, 32, 27, 33, 27, 43, 27, 44, 27, 63, 28, 29, 28, 30, 28, 32, 28, 33, 28, 43, 28, 49, 28, 65, 28, 74, 28, 95, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 37, 29, 73, 29, 81, 29, 118, 29, 125, 29, 311, 30, 31, 30, 32, 30, 33, 30, 34, 30, 37, 30, 40, 30, 43, 30, 44, 30, 45, 30, 46, 30, 53, 30, 56, 30, 59, 30, 67, 30, 73, 30, 81, 30, 118, 30, 129, 31, 32, 31, 33, 31, 34, 31, 37, 31, 40, 31, 43, 31, 44, 31, 45, 31, 46, 31, 53, 31, 56, 31, 59, 31, 66, 31, 67, 31, 73, 31, 85, 31, 87, 31, 93, 31, 132, 31, 139, 31, 156, 32, 33, 32, 34, 32, 37, 32, 40, 32, 43, 32, 44, 32, 45, 32, 46, 33, 34, 33, 37, 33, 40, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 49, 34, 36, 34, 37, 34, 40, 34, 42, 34, 43, 34, 44, 34, 45, 35, 36, 35, 37, 35, 40, 35, 41, 35, 42, 35, 43, 35, 44, 35, 45, 35, 46, 35, 49, 35, 50, 35, 54, 35, 57, 35, 78, 35, 101, 35, 110, 35, 135, 36, 37, 36, 40, 38, 39, 38, 40, 38, 51, 38, 213, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 46, 39, 49, 39, 50, 39, 53, 39, 56, 39, 107, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 46, 40, 49, 40, 50, 40, 53, 40, 54, 41, 42, 41, 43, 41, 44, 41, 45, 41, 46, 41, 49, 41, 50, 41, 77, 42, 43, 42, 44, 42, 45, 42, 46, 42, 49, 42, 50, 42, 53, 42, 54, 42, 57, 42, 58, 42, 63, 42, 75, 42, 80, 43, 44, 43, 45, 43, 46, 43, 49, 43, 50, 43, 53, 43, 54, 43, 56, 43, 59, 43, 66, 43, 67, 43, 73, 43, 81, 43, 118, 43, 125, 43, 159, 43, 162, 43, 165, 44, 45, 44, 46, 44, 47, 44, 49, 44, 50, 44, 53, 44, 54, 44, 56, 44, 57, 44, 58, 44, 59, 44, 66, 44, 67, 44, 116, 45, 46, 45, 47, 45, 49, 45, 50, 45, 53, 45, 54, 45, 56, 45, 57, 45, 58, 45, 59, 45, 60, 45, 63, 45, 66, 45, 67, 45, 116, 46, 47, 46, 49, 46, 50, 46, 53, 46, 54, 46, 56, 46, 57, 46, 58, 46, 59, 46, 60, 46, 63, 46, 66, 46, 67, 46, 73, 46, 81, 46, 84, 46, 85, 46, 87, 46, 100, 46, 149, 47, 49, 47, 50, 47, 53, 49, 50, 49, 51, 49, 53, 49, 54, 49, 56, 49, 57, 49, 58, 49, 59, 49, 60, 49, 61, 49, 63, 49, 66, 49, 67, 49, 73, 49, 81, 49, 84, 49, 85, 49, 87, 49, 91, 49, 136, 50, 51, 50, 53, 50, 54, 50, 55, 50, 56, 50, 57, 50, 58, 50, 59, 50, 60, 50, 61, 50, 63, 50, 65, 50, 66, 50, 67, 50, 73, 50, 75, 50, 80, 50, 81, 50, 84, 50, 85, 50, 87, 50, 91, 50, 105, 50, 226, 51, 53, 51, 54, 51, 55, 51, 56, 51, 57, 51, 58, 51, 59, 51, 60, 51, 61, 51, 63, 51, 65, 51, 66, 51, 67, 51, 72, 51, 73, 51, 75, 51, 80, 51, 81, 51, 84, 51, 85, 51, 87, 51, 91, 51, 93, 51, 98, 51, 132, 51, 139, 52, 53, 52, 54, 52, 55, 52, 56, 52, 57, 52, 58, 52, 59, 52, 60, 52, 61, 52, 63, 52, 65, 52, 66, 52, 67, 52, 72, 52, 73, 52, 75, 52, 78, 52, 80, 52, 81, 52, 84, 52, 103, 53, 54, 53, 55, 53, 56, 53, 57, 53, 58, 53, 59, 53, 60, 53, 61, 53, 63, 53, 65, 53, 66, 53, 67, 53, 72, 53, 73, 53, 75, 53, 78, 53, 80, 53, 81, 53, 84, 53, 86, 53, 90, 54, 55, 54, 56, 54, 57, 54, 58, 54, 59, 54, 60, 54, 61, 54, 63, 54, 65, 54, 66, 54, 67, 54, 72, 54, 73, 54, 74, 54, 75, 54, 78, 54, 80, 54, 81, 54, 112, 54, 171, 55, 56, 55, 57, 55, 58, 55, 59, 55, 60, 55, 61, 55, 63, 55, 65, 55, 66, 55, 67, 55, 72, 55, 73, 55, 74, 55, 75, 55, 78, 55, 80, 55, 81, 55, 82, 55, 84, 55, 85, 55, 87, 55, 91, 55, 93, 55, 100, 55, 123, 55, 163, 55, 180, 56, 57, 56, 58, 56, 59, 56, 60, 56, 61, 56, 63, 56, 65, 56, 66, 56, 67, 56, 72, 56, 73, 56, 74, 56, 75, 56, 78, 56, 80, 56, 81, 56, 82, 56, 84, 56, 85, 56, 86, 56, 87, 56, 91, 56, 93, 56, 98, 57, 58, 57, 59, 57, 60, 57, 61, 57, 63, 57, 65, 57, 66, 57, 67, 57, 72, 57, 73, 57, 74, 57, 75, 57, 78, 57, 80, 57, 81, 57, 82, 57, 84, 57, 85, 57, 86, 57, 87, 57, 90, 57, 91, 57, 93, 57, 98, 57, 99, 57, 100, 58, 59, 58, 60, 58, 61, 58, 63, 58, 65, 58, 66, 58, 67, 58, 70, 58, 72, 58, 73, 58, 74, 58, 75, 58, 78, 58, 80, 58, 81, 58, 82, 58, 84, 58, 85, 58, 86, 58, 87, 59, 60, 59, 61, 59, 63, 59, 65, 59, 66, 59, 67, 59, 70, 59, 72, 59, 73, 59, 74, 59, 75, 59, 78, 59, 80, 59, 81, 59, 82, 59, 84, 59, 85, 59, 86, 59, 87, 59, 90, 59, 91, 59, 93, 59, 94, 59, 98, 59, 99, 60, 61, 60, 63, 60, 65, 60, 66, 60, 67, 60, 70, 60, 72, 60, 73, 60, 74, 60, 75, 60, 77, 60, 78, 60, 80, 60, 81, 60, 82, 60, 84, 60, 85, 60, 86, 60, 87, 61, 62, 61, 63, 61, 64, 61, 65, 61, 66, 61, 67, 61, 70, 61, 72, 61, 73, 61, 74, 61, 75, 61, 77, 61, 78, 61, 80, 61, 81, 61, 82, 61, 84, 61, 85, 61, 86, 61, 87, 61, 90, 61, 91, 61, 93, 61, 94, 61, 98, 61, 99, 61, 100, 61, 105, 61, 123, 61, 124, 61, 132, 61, 139, 61, 156, 61, 184, 61, 303, 62, 63, 63, 64, 63, 65, 63, 66, 63, 67, 63, 68, 63, 69, 63, 70, 63, 72, 63, 73, 63, 74, 63, 75, 63, 77, 63, 78, 63, 80, 63, 81, 63, 82, 63, 84, 63, 85, 63, 86, 63, 87, 63, 88, 63, 90, 63, 91, 63, 93, 63, 94, 63, 96, 63, 98, 63, 99, 63, 100, 63, 105, 63, 118, 63, 125, 63, 129, 63, 159, 63, 162, 63, 197, 63, 218, 63, 250, 63, 269, 64, 65, 64, 66, 65, 66, 65, 67, 65, 68, 65, 69, 65, 70, 65, 72, 65, 73, 65, 74, 65, 75, 65, 77, 65, 78, 65, 80, 65, 81, 65, 82, 65, 84, 65, 85, 65, 86, 65, 87, 65, 88, 65, 90, 65, 91, 65, 92, 65, 93, 65, 94, 65, 96, 65, 98, 65, 99, 65, 100, 65, 105, 65, 118, 65, 123, 65, 124, 65, 125, 65, 129, 65, 159, 65, 199, 65, 241, 66, 67, 66, 68, 66, 69, 66, 70, 66, 72, 66, 73, 66, 74, 66, 75, 66, 77, 66, 78, 66, 80, 66, 81, 66, 82, 66, 84, 66, 85, 66, 86, 66, 87, 66, 88, 66, 90, 66, 91, 66, 92, 66, 93, 66, 94, 66, 96, 66, 98, 66, 99, 66, 100, 66, 105, 66, 107, 66, 116, 66, 118, 66, 123, 66, 124, 66, 125, 66, 132, 66, 163, 66, 180, 67, 68, 67, 69, 67, 70, 67, 71, 67, 72, 67, 73, 67, 74, 67, 75, 67, 77, 67, 78, 67, 80, 67, 81, 67, 82, 67, 84, 67, 85, 67, 86, 67, 87, 67, 88, 67, 90, 67, 91, 67, 92, 67, 93, 67, 94, 67, 96, 67, 98, 67, 99, 67, 100, 67, 103, 67, 104, 67, 105, 67, 107, 67, 113, 67, 116, 67, 118, 67, 123, 67, 124, 67, 125, 67, 128, 67, 132, 67, 139, 67, 143, 67, 156, 68, 69, 68, 70, 68, 71, 68, 72, 68, 73, 68, 74, 68, 75, 68, 77, 68, 78, 68, 80, 68, 81, 68, 82, 68, 84, 68, 85, 68, 86, 68, 87, 68, 88, 68, 90, 68, 91, 68, 92, 68, 93, 68, 94, 68, 96, 68, 98, 68, 99, 68, 100, 68, 103, 68, 104, 68, 105, 68, 107, 68, 113, 68, 116, 68, 118, 68, 185, 68, 195, 68, 288, 69, 70, 69, 71, 69, 72, 69, 73, 69, 74, 69, 75, 70, 71, 70, 72, 70, 73, 70, 74, 70, 75, 70, 76, 70, 77, 70, 78, 70, 80, 70, 81, 70, 82, 70, 84, 70, 85, 70, 86, 70, 87, 70, 88, 70, 90, 70, 91, 70, 92, 70, 93, 70, 94, 70, 96, 70, 98, 70, 99, 70, 100, 70, 103, 70, 104, 70, 105, 70, 107, 70, 113, 70, 116, 70, 118, 70, 123, 70, 133, 71, 72, 71, 73, 71, 74, 71, 75, 72, 73, 72, 74, 72, 75, 72, 76, 72, 77, 72, 78, 72, 80, 72, 81, 72, 82, 72, 84, 72, 85, 72, 86, 72, 87, 72, 88, 72, 90, 72, 91, 72, 92, 72, 93, 72, 94, 72, 96, 72, 98, 73, 74, 73, 75, 73, 76, 73, 77, 73, 78, 73, 80, 73, 81, 73, 82, 73, 84, 73, 85, 73, 86, 73, 87, 73, 88, 73, 90, 73, 91, 73, 92, 73, 93, 73, 94, 73, 95, 73, 96, 73, 98, 73, 99, 73, 100, 73, 101, 73, 103, 73, 104, 73, 105, 73, 107, 73, 109, 73, 113, 73, 116, 73, 118, 73, 123, 73, 124, 73, 125, 73, 128, 73, 129, 73, 157, 73, 159, 73, 199, 73, 211, 73, 229, 73, 241, 73, 243, 74, 75, 74, 76, 74, 77, 74, 78, 74, 80, 74, 81, 74, 82, 74, 84, 74, 85, 74, 86, 74, 87, 74, 88, 74, 90, 74, 91, 74, 92, 74, 93, 74, 94, 75, 76, 75, 77, 75, 78, 75, 80, 75, 81, 75, 82, 75, 84, 75, 85, 75, 86, 75, 87, 75, 88, 75, 90, 75, 91, 75, 92, 75, 93, 75, 94, 75, 95, 75, 96, 75, 97, 75, 98, 75, 99, 75, 100, 75, 101, 75, 103, 75, 104, 75, 105, 75, 107, 75, 108, 75, 109, 76, 77, 76, 78, 76, 80, 76, 81, 76, 82, 76, 83, 76, 84, 76, 85, 76, 86, 76, 87, 76, 88, 76, 90, 76, 91, 76, 92, 76, 93, 76, 94, 76, 95, 76, 96, 76, 97, 76, 98, 76, 99, 76, 100, 76, 101, 76, 103, 76, 104, 76, 105, 76, 107, 76, 108, 76, 109, 76, 113, 76, 116, 76, 118, 76, 123, 76, 124, 76, 125, 76, 128, 76, 129, 76, 132, 76, 136, 76, 157, 76, 159, 76, 162, 76, 197, 77, 78, 77, 80, 77, 81, 77, 82, 77, 83, 77, 84, 77, 85, 77, 86, 77, 87, 77, 88, 77, 90, 77, 91, 77, 92, 77, 93, 77, 94, 77, 95, 77, 96, 77, 97, 77, 98, 77, 99, 77, 100, 77, 101, 77, 103, 77, 104, 77, 105, 77, 110, 77, 135, 78, 79, 78, 80, 78, 81, 78, 82, 78, 83, 78, 84, 78, 85, 78, 86, 78, 87, 78, 88, 78, 90, 78, 91, 78, 92, 78, 93, 78, 94, 78, 95, 78, 96, 78, 97, 78, 98, 78, 99, 78, 100, 78, 101, 78, 103, 78, 104, 78, 105, 78, 110, 78, 120, 78, 127, 78, 174, 78, 265, 79, 80, 79, 81, 79, 82, 79, 83, 79, 84, 79, 85, 79, 86, 79, 87, 79, 88, 79, 89, 79, 90, 79, 91, 79, 92, 79, 93, 79, 94, 79, 95, 79, 96, 79, 97, 79, 98, 79, 99, 79, 100, 79, 101, 79, 103, 79, 104, 79, 105, 79, 107, 79, 108, 79, 109, 79, 113, 79, 116, 79, 118, 79, 155, 79, 278, 80, 81, 80, 82, 80, 83, 80, 84, 80, 85, 80, 86, 80, 87, 80, 88, 80, 89, 80, 90, 80, 91, 80, 92, 80, 93, 80, 94, 80, 95, 81, 82, 81, 83, 81, 84, 81, 85, 81, 86, 81, 87, 81, 88, 81, 89, 81, 90, 81, 91, 81, 92, 81, 93, 81, 94, 81, 95, 81, 96, 81, 97, 81, 98, 81, 99, 81, 100, 81, 101, 81, 103, 81, 104, 81, 105, 81, 107, 81, 108, 81, 109, 81, 113, 81, 116, 81, 118, 81, 119, 81, 122, 81, 123, 81, 124, 81, 125, 81, 128, 81, 129, 81, 132, 81, 136, 82, 83, 82, 84, 82, 85, 82, 86, 82, 87, 82, 88, 82, 89, 82, 90, 82, 91, 82, 92, 82, 93, 82, 94, 82, 95, 82, 96, 82, 97, 82, 98, 82, 99, 82, 100, 82, 101, 82, 103, 82, 104, 82, 105, 82, 107, 82, 108, 82, 110, 83, 84, 83, 85, 83, 86 }
{10,17,3,13,15,2,7,14,1,8,5,9,12,4,16,6,0,11}

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

Returns: { }
{380,261,104,341,188,409,304,302,183,337,224,359,231,179,376,190,386,381,193,168,472,189,444,119,127,352,317,369,158,172,48,434,124,420,65,423,438,309,23,445,123,360,448,300,80,242,22,385,164,248,446,277,144,165,142,364,122,372,163,398,303,227,292,342,270,89,347,131,418,177,157,440,210,321,259,455,427,4,87,203,147,0,15,458,44,467,335,439,474,397,479,191,459,211,315,141,115,90,279,393,350,405,274,29,174,143,400,255,214,253,222,267,118,296,299,220,67,257,219,432,450,49,229,401,425,202,121,308,145,132,21,310,298,244,384,265,139,297,106,53,320,353,162,134,27,412,186,59,262,323,371,483,465,98,285,173,61,451,68,382,236,435,433,290,43,328,282,221,272,301,209,441,351,235,256,175,357,413,477,116,318,313,354,114,136,9,311,260,264,50,453,275,250,216,456,77,429,417,232,266,2,205,307,55,355,52,314,57,206,442,291,166,478,419,28,368,16,388,91,47,482,329,333,416,137,112,38,113,334,218,281,319,151,287,96,150,138,130,463,252,473,35,140,178,185,462,305,365,126,247,198,269,18,182,31,399,294,389,226,363,383,184,71,327,66,155,110,476,484,92,306,245,148,200,197,51,407,40,373,454,70,79,204,362,233,199,5,187,443,379,107,156,8,254,414,367,180,75,128,97,461,326,403,181,196,234,83,249,169,431,271,396,322,470,361,160,447,195,452,58,330,26,88,225,111,102,243,481,345,469,387,3,45,161,215,411,424,24,64,392,217,394,356,78,63,471,146,93,201,81,246,338,366,370,240,263,117,280,170,475,331,194,284,228,378,85,464,208,6,32,133,268,14,295,404,76,468,480,457,408,406,82,105,207,54,375,41,74,153,325,288,103,149,238,46,12,60,340,120,152,109,34,94,391,33,10,212,390,237,428,36,312,258,293,86,348,39,316,460,349,129,374,278,343,346,37,426,449,286,95,101,167,251,20,171,358,7,430,410,402,273,336,108,324,339,73,176,283,72,30,56,135,62,125,192,377,42,466,276,154,13,239,241,421,223,17,422,213,289,1,84,159,230,100,437,332,344,436,25,19,99,11,69,395,415}

{71,261,104,341,188,409,304,302,183,337,224,359,231,179,253,190,386,381,193,168,139,189,444,119,127,352,317,191,158,172,48,434,124,420,22,413,438,309,23,138,123,360,448,300,80,242,65,260,164,248,408,250,144,165,142,364,122,223,163,398,4,227,292,342,445,89,347,131,418,79,157,440,210,321,259,455,427,303,87,203,147,0,15,458,44,467,335,439,474,76,479,369,459,211,315,141,115,90,279,393,350,405,274,29,174,143,400,255,214,376,222,267,118,296,299,220,67,257,219,432,450,49,229,401,425,202,12,308,145,132,21,310,298,244,384,265,472,297,106,53,320,353,162,134,27,412,186,59,397,114,371,329,465,98,285,173,61,451,68,382,236,435,256,290,43,328,282,221,272,301,209,441,351,262,433,175,357,423,18,64,146,151,354,323,136,9,180,385,264,50,453,275,277,216,456,77,429,417,232,266,2,205,307,55,226,52,314,57,206,442,291,166,478,419,28,368,16,388,26,47,482,483,333,416,137,112,38,113,334,218,281,319,167,287,96,150,270,130,463,252,473,35,140,8,185,462,133,365,126,247,198,269,477,182,31,399,294,389,355,363,233,184,331,327,66,155,110,476,484,62,306,245,148,200,197,51,407,40,373,454,56,105,204,362,383,199,5,187,443,379,107,83,178,254,414,367,311,75,128,97,153,326,403,181,196,234,156,249,169,431,271,396,120,470,361,160,404,195,452,58,330,91,88,225,111,102,243,481,345,469,387,3,45,161,215,411,424,24,116,54,217,394,356,19,63,471,318,93,201,81,246,338,268,370,240,263,117,280,170,475,380,194,284,228,378,85,464,208,6,32,305,366,13,60,447,235,468,480,72,446,406,82,177,207,392,375,41,74,461,325,288,103,149,238,46,121,295,340,322,152,109,34,94,391,33,10,212,390,237,428,36,312,258,293,86,348,39,316,460,349,129,374,278,343,346,37,422,449,286,95,101,313,251,20,171,358,7,430,410,402,273,336,108,324,339,73,176,283,457,30,70,135,92,125,192,377,42,466,276,154,14,239,78,421,372,17,426,213,289,1,84,159,230,100,437,332,344,436,25,241,99,11,69,395,415}

Returns: {0, 1, 0, 2, 0, 44, 0, 195, 0, 262, 1, 2, 2, 3, 2, 4, 2, 8, 2, 13, 2, 19, 2, 23, 2, 44, 3, 4, 4, 6, 4, 7, 4, 8, 6, 7, 7, 8, 8, 9, 8, 10, 8, 13, 9, 10, 10, 11, 10, 12, 10, 13, 11, 12, 12, 13, 13, 14, 13, 15, 13, 19, 14, 15, 14, 25, 14, 26, 14, 37, 14, 43, 14, 51, 14, 64, 14, 74, 14, 107, 14, 109, 15, 18, 15, 19, 18, 19, 19, 21, 19, 23, 20, 21, 20, 23, 20, 28, 20, 52, 20, 54, 20, 95, 20, 136, 21, 22, 21, 23, 21, 25, 21, 26, 21, 28, 22, 23, 23, 24, 23, 32, 23, 40, 23, 44, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 32, 25, 26, 25, 27, 25, 28, 25, 29, 26, 27, 26, 28, 26, 29, 26, 37, 27, 28, 27, 29, 27, 37, 27, 41, 27, 43, 27, 45, 27, 61, 27, 72, 27, 79, 27, 91, 28, 29, 28, 32, 28, 48, 28, 52, 29, 31, 29, 32, 29, 37, 29, 41, 29, 43, 29, 45, 29, 48, 31, 32, 32, 33, 32, 37, 32, 40, 33, 35, 33, 37, 34, 38, 34, 46, 35, 36, 35, 37, 35, 68, 35, 177, 36, 37, 37, 39, 37, 40, 37, 41, 37, 43, 37, 45, 37, 48, 38, 46, 39, 40, 39, 41, 39, 43, 39, 45, 39, 48, 39, 49, 39, 52, 39, 54, 39, 95, 39, 136, 39, 236, 40, 41, 40, 43, 40, 44, 41, 42, 41, 43, 41, 44, 41, 45, 41, 48, 41, 49, 42, 43, 43, 44, 43, 45, 43, 48, 43, 49, 43, 51, 44, 45, 44, 47, 44, 48, 44, 49, 44, 51, 44, 52, 44, 53, 44, 54, 44, 56, 44, 65, 44, 78, 44, 195, 45, 47, 45, 48, 45, 49, 45, 51, 45, 52, 45, 53, 45, 61, 47, 48, 47, 49, 47, 51, 47, 52, 47, 53, 47, 55, 47, 60, 47, 62, 47, 64, 47, 74, 47, 111, 47, 135, 47, 148, 47, 187, 48, 49, 48, 51, 48, 52, 48, 53, 48, 54, 48, 56, 49, 50, 49, 51, 49, 52, 49, 53, 49, 54, 49, 55, 49, 60, 49, 61, 50, 51, 50, 52, 50, 68, 50, 145, 50, 335, 50, 379, 51, 52, 51, 53, 51, 54, 51, 55, 51, 57, 51, 60, 51, 61, 51, 62, 51, 64, 51, 74, 51, 102, 51, 107, 51, 109, 51, 192, 52, 53, 52, 54, 52, 55, 52, 56, 52, 58, 52, 70, 52, 80, 52, 95, 53, 54, 53, 55, 53, 56, 53, 57, 53, 58, 54, 55, 54, 56, 54, 57, 54, 58, 54, 60, 54, 61, 54, 62, 54, 63, 54, 64, 54, 69, 54, 70, 54, 80, 54, 95, 54, 105, 54, 136, 55, 56, 55, 57, 55, 58, 55, 60, 55, 61, 55, 62, 55, 63, 56, 57, 56, 58, 56, 60, 56, 61, 56, 62, 56, 63, 56, 64, 56, 65, 57, 58, 57, 59, 57, 60, 57, 61, 57, 62, 57, 63, 57, 64, 57, 65, 57, 69, 57, 72, 57, 258, 57, 323, 57, 464, 58, 59, 58, 60, 58, 61, 58, 62, 58, 63, 58, 64, 58, 65, 58, 66, 58, 69, 58, 70, 58, 80, 59, 60, 59, 61, 60, 61, 60, 62, 60, 63, 60, 64, 60, 65, 60, 66, 60, 67, 60, 77, 61, 62, 61, 63, 61, 64, 61, 65, 61, 66, 61, 67, 61, 69, 61, 70, 61, 72, 61, 74, 61, 98, 61, 102, 61, 107, 61, 109, 61, 117, 61, 122, 61, 258, 62, 63, 62, 64, 62, 65, 62, 66, 62, 67, 62, 69, 62, 70, 62, 72, 62, 73, 62, 74, 62, 98, 63, 64, 63, 65, 63, 66, 63, 67, 63, 69, 63, 70, 63, 72, 63, 73, 64, 65, 64, 68, 65, 66, 65, 67, 65, 69, 65, 70, 65, 72, 65, 73, 65, 74, 65, 77, 65, 78, 66, 67, 66, 69, 66, 70, 66, 72, 66, 73, 66, 74, 67, 68, 67, 69, 67, 70, 67, 72, 67, 73, 67, 74, 67, 77, 67, 78, 68, 69, 68, 71, 68, 76, 68, 124, 68, 145, 68, 177, 69, 70, 69, 72, 69, 73, 69, 74, 69, 77, 69, 78, 69, 79, 69, 80, 69, 95, 69, 96, 69, 97, 69, 195, 69, 281, 70, 71, 70, 72, 70, 73, 70, 74, 70, 77, 70, 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169, 167, 170, 167, 172, 167, 173, 167, 174, 167, 175, 167, 179, 167, 183, 168, 169, 168, 170, 168, 172, 168, 173, 168, 174, 168, 175, 168, 179, 168, 183, 169, 170, 169, 171, 169, 172, 169, 173, 169, 174, 169, 175, 169, 179, 170, 171, 170, 172, 170, 173, 170, 174, 170, 175, 170, 176, 170, 179, 170, 180, 170, 181, 170, 183, 170, 184, 171, 172, 171, 173, 172, 173, 172, 174, 172, 175, 172, 176, 172, 179, 172, 182, 172, 221, 173, 174, 173, 175, 173, 176, 173, 179, 173, 180, 173, 181, 173, 183, 173, 184, 173, 187, 173, 188, 173, 192, 174, 175, 174, 177, 175, 176, 175, 179, 175, 180, 175, 181, 175, 183, 175, 184, 175, 186, 175, 187, 175, 188, 175, 189, 175, 211, 176, 177, 176, 179, 176, 180, 176, 181, 176, 182, 177, 178, 177, 179, 177, 196, 177, 197, 178, 179, 178, 180, 178, 181, 178, 182, 178, 183, 178, 184, 178, 186, 178, 187, 178, 188, 178, 189, 178, 192, 178, 193, 178, 195, 178, 203, 178, 205, 178, 214, 178, 216, 178, 252, 179, 180, 179, 181, 179, 182, 179, 183, 179, 184, 179, 186, 179, 187, 179, 188, 179, 189, 179, 191, 179, 192, 179, 193, 179, 195, 179, 201, 179, 203, 179, 218, 179, 225, 179, 227, 179, 234, 179, 262, 179, 264, 179, 338, 180, 181, 180, 182, 180, 183, 180, 184, 180, 186, 180, 187, 180, 188, 180, 189, 180, 191, 180, 192, 180, 193, 180, 195, 180, 198, 180, 201, 180, 203, 180, 211, 180, 232, 180, 235, 180, 236, 180, 272, 180, 346, 181, 182, 181, 183, 181, 184, 181, 186, 181, 187, 181, 188, 181, 189, 181, 191, 181, 192, 181, 193, 181, 195, 181, 198, 181, 201, 181, 203, 181, 208, 181, 211, 181, 232, 181, 235, 181, 236, 182, 183, 182, 184, 182, 186, 182, 187, 182, 204, 182, 221, 183, 184, 183, 186, 183, 187, 183, 188, 184, 186, 184, 187, 184, 188, 184, 189, 184, 191, 184, 192, 184, 193, 184, 195, 184, 198, 184, 199, 184, 201, 184, 203, 184, 208, 184, 211, 184, 218, 186, 187, 186, 188, 186, 189, 186, 191, 186, 192, 186, 193, 186, 195, 186, 198, 186, 199, 186, 201, 186, 203, 186, 208, 186, 211, 186, 218, 186, 232, 186, 244, 186, 253, 186, 296, 187, 188, 187, 189, 188, 189, 188, 190, 188, 191, 188, 192, 188, 193, 188, 195, 188, 198, 188, 199, 188, 201, 188, 203, 188, 208, 189, 190, 189, 191, 189, 192, 189, 193, 189, 195, 189, 198, 189, 199, 189, 201, 189, 203, 189, 205, 189, 214, 189, 216, 190, 191, 190, 192, 191, 192, 191, 193, 191, 195, 191, 198, 191, 199, 191, 201, 191, 203, 192, 193, 192, 194, 192, 195, 192, 198, 192, 199, 192, 201, 192, 202, 192, 203, 193, 194, 193, 195, 193, 196, 193, 197, 193, 198, 193, 199, 193, 201 }
{188,168,240,260,394,242,286,26,429,301,216,78,324,214,7,428,191,279,408,95,59,204,142,411,377,48,406,118,315,29,262,281,179,431,254,427,404,340,439,251,270,139,376,407,290,102,297,419,360,263,287,332,344,330,327,413,174,337,361,257,417,135,444,317,73,202,9,374,223,173,424,180,224,382,371,294,274,33,258,282,388,153,390,366,6,285,105,132,357,437,289,370,30,228,71,322,350,383,16,310,134,284,375,166,280,305,441,399,283,222,312,398,196,326,352,293,44,178,298,401,247,432,241,226,436,5,246,421,119,221,104,328,423,291,434,145,392,311,313,144,236,230,203,100,422,140,181,385,227,308,265,128,187,336,288,219,185,60,167,335,365,384,206,235,275,249,58,314,138,397,409,39,379,10,329,67,351,415,349,343,302,264,435,433,268,418,197,231,334,364,272,201,170,108,292,45,85,61,127,11,420,259,126,232,198,277,51,34,255,130,150,319,124,62,215,208,149,218,72,359,40,8,41,189,416,182,325,93,266,94,101,176,27,205,69,339,91,111,295,211,113,75,175,36,53,248,49,355,378,120,47,54,3,200,161,400,172,86,68,52,303,387,296,425,252,42,13,323,109,389,307,165,346,99,1,347,96,299,163,18,396,363,412,443,271,276,186,66,368,37,46,442,250,112,304,225,131,267,123,213,160,229,92,106,362,316,269,209,133,348,243,358,353,331,321,154,155,157,147,380,148,210,391,393,107,97,199,137,77,56,278,217,190,446,245,233,345,373,414,194,354,171,367,426,395,12,79,21,64,261,410,63,333,19,81,65,76,162,320,82,31,440,151,369,234,17,183,110,402,438,80,103,114,116,2,125,309,195,129,237,117,207,386,212,403,22,84,192,141,381,89,338,83,143,318,74,342,184,98,238,405,273,177,87,122,23,14,15,43,38,57,20,306,256,220,253,156,90,28,244,146,115,169,0,239,70,159,24,152,372,4,158,341,50,445,430,300,193,35,88,136,55,164,121,32,25,356}

{18,168,240,122,327,190,286,26,115,301,143,16,166,213,7,428,191,279,198,95,55,204,142,411,293,48,325,118,315,29,262,281,179,431,254,402,404,340,423,251,77,139,357,259,290,75,145,419,347,17,287,332,331,294,394,87,56,337,361,85,417,135,208,317,11,202,2,185,223,173,350,21,224,382,371,330,274,33,258,282,388,153,377,366,6,285,105,132,252,437,289,370,30,228,54,65,154,408,78,64,134,284,23,324,278,305,441,25,283,205,298,99,36,326,71,111,44,270,312,401,104,229,241,226,393,5,246,140,119,429,174,328,439,181,434,57,351,311,313,69,236,230,203,74,110,292,291,15,227,308,81,128,187,336,150,60,248,219,89,299,346,384,127,220,275,249,58,1,138,365,98,39,379,10,272,67,392,348,269,398,302,37,435,433,268,418,197,231,334,364,329,201,170,108,376,20,167,45,206,73,420,390,120,232,3,277,51,34,177,130,192,101,124,62,19,38,149,218,72,368,383,8,41,189,416,352,307,93,180,0,96,80,27,359,144,339,91,407,46,161,28,102,175,196,53,374,49,148,378,126,47,112,40,200,211,400,172,86,68,52,303,157,296,425,109,42,13,66,245,389,406,165,31,225,125,415,257,335,163,188,424,363,412,443,271,276,186,323,399,61,215,442,162,319,304,343,131,155,123,214,160,237,176,79,362,209,184,316,133,360,243,358,353,344,321,396,267,387,147,380,355,210,391,436,107,310,199,137,178,32,164,182,242,446,247,233,345,373,414,194,83,171,367,413,395,12,106,266,97,261,410,63,333,222,265,322,76,250,320,82,397,440,151,369,234,263,183,427,422,438,92,103,4,116,9,314,309,195,129,432,117,207,386,212,403,22,84,288,141,381,217,24,354,216,318,100,342,349,409,238,405,50,255,426,260,375,14,385,43,444,297,264,306,421,235,253,156,90,113,244,146,221,338,94,239,70,159,169,152,300,114,158,341,273,445,430,372,193,35,88,136,59,280,121,256,295,356}

Returns: {0, 1, 0, 7, 0, 279, 1, 7, 3, 5, 3, 7, 3, 22, 3, 41, 3, 61, 3, 87, 3, 151, 3, 198, 3, 202, 3, 212, 3, 298, 3, 404, 4, 24, 4, 37, 4, 51, 4, 53, 4, 54, 5, 7, 5, 10, 5, 13, 5, 16, 5, 332, 7, 10, 7, 11, 7, 20, 7, 25, 7, 29, 7, 232, 7, 279, 8, 9, 8, 10, 8, 11, 8, 13, 8, 16, 8, 21, 8, 22, 8, 27, 8, 373, 8, 421, 9, 10, 10, 11, 10, 13, 10, 16, 10, 21, 10, 22, 10, 27, 10, 32, 10, 56, 10, 69, 10, 81, 10, 135, 10, 139, 10, 393, 11, 12, 11, 13, 11, 16, 11, 19, 11, 20, 11, 25, 11, 29, 11, 77, 11, 92, 11, 98, 12, 13, 12, 16, 12, 19, 12, 21, 12, 22, 12, 27, 12, 32, 12, 56, 12, 69, 12, 81, 12, 103, 13, 15, 13, 16, 13, 17, 13, 19, 13, 21, 13, 22, 13, 27, 13, 299, 15, 16, 16, 17, 16, 19, 16, 21, 16, 22, 16, 27, 16, 32, 16, 65, 16, 112, 16, 332, 17, 18, 17, 19, 17, 21, 18, 19, 18, 21, 18, 22, 18, 27, 18, 32, 18, 65, 18, 112, 18, 191, 18, 204, 19, 20, 20, 21, 20, 22, 20, 25, 20, 29, 20, 166, 20, 329, 20, 441, 21, 22, 21, 24, 21, 25, 21, 27, 21, 32, 21, 65, 21, 112, 22, 23, 22, 24, 22, 25, 22, 27, 22, 28, 22, 30, 22, 32, 22, 34, 22, 39, 22, 41, 23, 24, 24, 25, 24, 26, 24, 27, 24, 28, 24, 30, 24, 46, 24, 75, 24, 115, 25, 26, 25, 27, 25, 28, 25, 29, 25, 64, 25, 77, 26, 27, 26, 28, 26, 29, 26, 37, 26, 42, 26, 48, 26, 51, 26, 53, 26, 54, 26, 113, 26, 226, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 34, 27, 39, 27, 41, 27, 56, 27, 61, 27, 87, 27, 100, 27, 128, 27, 373, 28, 29, 28, 30, 28, 31, 28, 46, 29, 30, 29, 31, 29, 32, 29, 34, 29, 39, 29, 41, 29, 45, 29, 64, 29, 77, 29, 92, 29, 98, 29, 232, 30, 31, 30, 32, 30, 34, 30, 39, 31, 32, 31, 34, 31, 36, 31, 37, 31, 39, 32, 34, 32, 36, 32, 37, 32, 39, 32, 40, 32, 41, 32, 45, 32, 56, 32, 61, 32, 69, 34, 35, 34, 36, 34, 37, 34, 39, 34, 40, 34, 41, 34, 45, 34, 56, 35, 36, 35, 37, 35, 39, 35, 40, 35, 368, 36, 37, 36, 39, 36, 40, 36, 368, 37, 39, 37, 40, 37, 41, 37, 42, 37, 48, 37, 51, 37, 52, 37, 53, 38, 39, 38, 40, 38, 70, 38, 132, 39, 40, 39, 41, 39, 42, 39, 44, 39, 45, 39, 49, 39, 56, 39, 59, 39, 61, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 49, 40, 56, 40, 59, 40, 61, 40, 64, 40, 77, 40, 328, 41, 42, 41, 43, 41, 44, 41, 45, 41, 46, 41, 49, 41, 50, 41, 56, 41, 59, 41, 61, 41, 64, 41, 65, 41, 68, 41, 69, 41, 71, 41, 81, 41, 87, 42, 43, 42, 44, 42, 45, 42, 46, 42, 48, 42, 51, 42, 52, 42, 88, 43, 44, 43, 45, 43, 46, 43, 48, 43, 49, 43, 50, 43, 56, 43, 59, 43, 61, 43, 64, 43, 201, 44, 45, 44, 46, 44, 48, 44, 49, 44, 50, 44, 56, 45, 46, 45, 47, 45, 48, 45, 49, 45, 50, 45, 51, 45, 52, 45, 53, 45, 54, 45, 56, 45, 59, 45, 61, 45, 64, 45, 65, 45, 68, 45, 69, 45, 71, 45, 77, 45, 143, 45, 196, 45, 241, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 53, 46, 54, 46, 56, 46, 59, 46, 61, 46, 64, 46, 65, 46, 68, 46, 69, 46, 71, 46, 77, 46, 81, 46, 87, 46, 103, 46, 135, 46, 139, 47, 48, 47, 49, 48, 49, 48, 50, 48, 51, 48, 52, 48, 53, 48, 54, 48, 58, 48, 88, 48, 96, 48, 178, 48, 275, 49, 50, 49, 51, 49, 52, 49, 53, 49, 54, 49, 56, 49, 57, 49, 59, 49, 61, 49, 63, 49, 64, 49, 65, 49, 68, 49, 69, 49, 71, 49, 72, 49, 77, 49, 81, 49, 86, 49, 92, 49, 94, 49, 98, 49, 232, 49, 279, 49, 347, 49, 353, 49, 365, 50, 51, 50, 52, 50, 53, 50, 54, 50, 56, 50, 57, 50, 59, 50, 61, 50, 63, 50, 64, 50, 65, 51, 52, 51, 53, 51, 54, 51, 56, 51, 57, 51, 58, 51, 59, 51, 61, 51, 63, 52, 53, 52, 54, 52, 56, 52, 57, 52, 58, 52, 59, 52, 61, 52, 63, 52, 153, 52, 159, 52, 188, 52, 313, 53, 54, 53, 55, 53, 56, 53, 57, 53, 58, 53, 59, 53, 61, 53, 63, 53, 64, 53, 65, 53, 75, 53, 115, 54, 55, 54, 56, 54, 57, 54, 58, 54, 59, 55, 56, 55, 57, 55, 58, 55, 59, 55, 61, 55, 63, 55, 64, 55, 65, 55, 68, 55, 69, 55, 71, 55, 72, 55, 77, 55, 81, 55, 86, 55, 87, 55, 92, 55, 130, 55, 143, 55, 196, 55, 227, 55, 236, 55, 390, 55, 403, 56, 57, 56, 58, 56, 59, 56, 61, 56, 63, 56, 64, 56, 65, 56, 68, 56, 69, 56, 71, 56, 72, 56, 77, 56, 81, 56, 86, 56, 87, 56, 92, 56, 94, 56, 98, 56, 157, 56, 166, 56, 329, 56, 410, 56, 441, 57, 58, 57, 59, 57, 61, 57, 63, 57, 64, 57, 65, 57, 67, 57, 68, 57, 153, 58, 59, 58, 60, 58, 61, 58, 63, 58, 64, 58, 65, 58, 67, 58, 68, 58, 74, 58, 83, 58, 88, 59, 60, 59, 61, 59, 63, 59, 64, 59, 65, 59, 67, 59, 68, 59, 69, 59, 71, 59, 72, 59, 77, 59, 81, 59, 86, 59, 87, 59, 92, 59, 94, 59, 100, 59, 128, 59, 130, 59, 143, 59, 196, 59, 227, 59, 229, 59, 236, 59, 241, 60, 61, 60, 63, 61, 63, 61, 64, 61, 65, 61, 67, 61, 68, 61, 69, 61, 71, 61, 72, 61, 77, 61, 78, 61, 81, 61, 86, 61, 87, 61, 92, 61, 94, 61, 100, 61, 103, 61, 128, 62, 63, 62, 64, 62, 65, 62, 67, 62, 68, 62, 69, 62, 71, 62, 72, 62, 75, 62, 76, 62, 77, 62, 78, 62, 81, 62, 86, 62, 87, 62, 92, 62, 94, 62, 109, 62, 112, 62, 214, 62, 215, 63, 64, 63, 65, 63, 67, 63, 68, 63, 69, 63, 71, 63, 72, 63, 74, 63, 75, 63, 76, 64, 65, 64, 67, 64, 68, 64, 69, 64, 71, 64, 72, 64, 74, 64, 75, 64, 76, 64, 77, 64, 78, 64, 81, 64, 86, 64, 87, 64, 92, 64, 93, 64, 94, 64, 98, 64, 116, 64, 171, 64, 199, 65, 67, 65, 68, 65, 69, 65, 71, 65, 72, 65, 73, 65, 74, 65, 75, 65, 76, 65, 77, 65, 78, 65, 81, 65, 86, 65, 87, 65, 92, 65, 93, 65, 94, 65, 98, 65, 109, 65, 112, 65, 129, 65, 142, 65, 191, 66, 84, 66, 125, 66, 252, 66, 374, 67, 68, 67, 69, 67, 70, 67, 71, 67, 72, 67, 73, 67, 74, 67, 75, 67, 76, 67, 77, 67, 78, 67, 79, 67, 81, 67, 86, 67, 87, 67, 92, 67, 93, 67, 94, 67, 98, 67, 100, 67, 152, 67, 156, 68, 69, 68, 70, 68, 71, 68, 72, 68, 73, 68, 74, 68, 75, 68, 76, 68, 77, 68, 78, 68, 79, 68, 81, 68, 86, 68, 87, 68, 92, 68, 93, 68, 94, 68, 98, 68, 100, 68, 109, 68, 112, 69, 70, 69, 71, 69, 72, 69, 73, 69, 74, 69, 75, 69, 76, 69, 77, 69, 78, 69, 79, 69, 81, 69, 85, 69, 86, 69, 87, 69, 92, 69, 93, 69, 94, 69, 98, 69, 100, 69, 103, 69, 117, 69, 128, 69, 135, 70, 71, 70, 72, 70, 73, 70, 74, 70, 75, 70, 76, 70, 77, 70, 78, 70, 79, 70, 81, 70, 83, 70, 88, 70, 96, 70, 114, 70, 176, 70, 178, 71, 72, 71, 73, 71, 74, 71, 75, 71, 76, 71, 77, 71, 78, 71, 79, 71, 81, 71, 83, 71, 85, 71, 86, 71, 87, 71, 92, 71, 93, 71, 94, 71, 98, 71, 100, 71, 103, 71, 109, 71, 112, 71, 116, 71, 157, 71, 166, 71, 171, 71, 199, 71, 207, 71, 232, 71, 279, 71, 347, 71, 353, 72, 73, 72, 74, 72, 75, 72, 76, 72, 77, 72, 78, 72, 79, 72, 81, 72, 83, 72, 85, 72, 86, 72, 87, 72, 92, 72, 93, 72, 94, 72, 98, 72, 100, 72, 103, 72, 109, 72, 112, 72, 116, 73, 74, 73, 75, 73, 76, 73, 77, 73, 78, 73, 79, 73, 80, 73, 81, 74, 75, 74, 76, 74, 77, 74, 78, 74, 79, 74, 80, 74, 81, 74, 83, 74, 85, 74, 86, 74, 88, 75, 76, 75, 77, 75, 78, 75, 79, 75, 80, 75, 81, 75, 82, 75, 83, 75, 85, 75, 86, 75, 88, 75, 91, 75, 96, 75, 113, 76, 77, 76, 78, 76, 79, 76, 80, 76, 81, 76, 82, 76, 83, 76, 85, 76, 86, 76, 87, 76, 90, 76, 92, 76, 93, 76, 94, 77, 78, 77, 79, 77, 80, 77, 81, 77, 82, 77, 83, 77, 85, 77, 86, 77, 87, 77, 88, 77, 90, 77, 92, 77, 93, 77, 94, 77, 98, 77, 100, 77, 103, 77, 109, 77, 112, 77, 116, 77, 117, 77, 128, 77, 130, 77, 143, 77, 157, 77, 166, 77, 171, 77, 195, 77, 199, 77, 207, 77, 232, 77, 279, 78, 79, 78, 80, 78, 81, 78, 82, 78, 83, 78, 85, 78, 86, 78, 87, 78, 88, 78, 90, 78, 91, 78, 92, 78, 93, 78, 94, 78, 98, 78, 100, 78, 103, 78, 109, 79, 80, 79, 81, 79, 82, 79, 83, 79, 85, 79, 86, 79, 87, 79, 88, 79, 90, 79, 91, 79, 92, 79, 93, 79, 94, 79, 98, 79, 100, 80, 81, 80, 82, 80, 83, 80, 85, 80, 86, 80, 87, 80, 88, 80, 90, 81, 82, 81, 83, 81, 85, 81, 86, 81, 87, 81, 88, 81, 90, 81, 91, 81, 92, 81, 93, 81, 94, 81, 95, 81, 98, 81, 100, 81, 101, 81, 103, 81, 109, 81, 112, 81, 116, 81, 117, 81, 123, 81, 128, 81, 130, 81, 135, 81, 139, 82, 83, 82, 85, 82, 86, 82, 87, 82, 88, 82, 90, 82, 91, 82, 92, 83, 85, 83, 86, 83, 87, 83, 88, 83, 90, 83, 91, 83, 92, 83, 93, 83, 94, 83, 96, 83, 113, 84, 125, 85, 86, 85, 87, 85, 88, 85, 90, 85, 91, 85, 92, 85, 93, 85, 94, 85, 95, 85, 98, 85, 99, 85, 100, 85, 101, 86, 87, 86, 88, 86, 90, 86, 91, 86, 92, 86, 93, 86, 94, 86, 95, 86, 96, 86, 98, 86, 99, 86, 100, 86, 101, 86, 103, 86, 104, 86, 109, 86, 112, 86, 116, 86, 117, 86, 122, 86, 123, 86, 128, 86, 129, 86, 130, 86, 135, 86, 139, 86, 143, 86, 151, 86, 157, 87, 88, 87, 89, 87, 90, 87, 91, 87, 92, 87, 93, 87, 94, 87, 95, 87, 96, 87, 98, 87, 99, 87, 100, 87, 101, 87, 103, 87, 104, 87, 108, 87, 109, 87, 112, 87, 116, 87, 117, 87, 120, 87, 122, 87, 123, 87, 128, 87, 129, 87, 130, 87, 135, 87, 139, 87, 143, 87, 145, 87, 151, 87, 157, 88, 89, 88, 90, 88, 91, 88, 92, 88, 93, 88, 94, 88, 95, 88, 96, 88, 97, 88, 98, 88, 99, 88, 100, 88, 101, 88, 103, 88, 104, 88, 108, 88, 109, 88, 112, 88, 116, 88, 117, 88, 120, 88, 208, 88, 264, 89, 90, 89, 91, 90, 91, 90, 92, 90, 93, 90, 94, 90, 95, 90, 96, 90, 97, 90, 98, 90, 99, 90, 100, 90, 101, 90, 103, 90, 104, 90, 105, 90, 108, 91, 92, 91, 93, 91, 94, 91, 95, 91, 96, 91, 97, 91, 98, 91, 99, 91, 100, 91, 101, 91, 113, 92, 93, 92, 94, 92, 95, 92, 96, 92, 97, 92, 98, 92, 99, 92, 100, 92, 101, 92, 102, 92, 103, 92, 104, 92, 105, 92, 108, 92, 109, 92, 112, 92, 116, 92, 117, 92, 120, 92, 122, 92, 123, 92, 128, 92, 129, 92, 130, 92, 135, 92, 139, 92, 143, 92, 145, 92, 151, 92, 157, 92, 166, 92, 171, 92, 175, 92, 195, 92, 199, 92, 207, 92, 220, 92, 232, 92, 243, 92, 279, 92, 347, 93, 94, 93, 95, 93, 96, 93, 97, 93, 98, 93, 99, 93, 100, 93, 101, 93, 102, 93, 103, 93, 104, 93, 105, 93, 108, 93, 109, 93, 112, 93, 116, 93, 117, 93, 120, 93, 122, 93, 123, 93, 126, 93, 128, 93, 129, 93, 130, 94, 95, 94, 96, 94, 97, 94, 98, 94, 99, 94, 100, 94, 101, 94, 102, 94, 103, 94, 104, 94, 105, 94, 108, 94, 109, 94, 112, 94, 115, 94, 116, 94, 117, 94, 120, 94, 122, 94, 123, 94, 126, 94, 128, 94, 129, 94, 130, 94, 135, 94, 139, 94, 142, 94, 143, 94, 145, 94, 151, 94, 157, 94, 166, 94, 171, 94, 175, 94, 195, 94, 197, 94, 199, 94, 251, 95, 96, 95, 97, 95, 98, 95, 99, 95, 100, 95, 101, 95, 102, 95, 103, 95, 104, 95, 105, 95, 108, 95, 109, 95, 110, 95, 112, 95, 115, 95, 116, 95, 117, 95, 120, 95, 122, 95, 123, 95, 126, 95, 128, 95, 129, 95, 130, 95, 135, 95, 139, 95, 142, 95, 143, 95, 145, 95, 151, 95, 157, 95, 158, 95, 166, 95, 168, 95, 171, 95, 175, 95, 195, 95, 197, 95, 287, 95, 355, 96, 97, 96, 98, 96, 99, 96, 100, 96, 101, 96, 102, 96, 103, 96, 104, 96, 105, 96, 108, 96, 109, 96, 110, 96, 112, 96, 115, 96, 116, 96, 117, 96, 120, 96, 122, 96, 123, 96, 126, 96, 128, 96, 129, 96, 130, 96, 135, 96, 139, 96, 140, 96, 141, 96, 142, 96, 143, 96, 145, 96, 146, 96, 151, 96, 157, 96, 158, 96, 166, 96, 254, 96, 300, 96, 315, 97, 98, 97, 99, 97, 100, 97, 101, 97, 102, 98, 99, 98, 100, 98, 101, 98, 102, 98, 103, 98, 104, 98, 105, 98, 108, 98, 109, 98, 110, 98, 112, 98, 115, 98, 116, 98, 117, 98, 118, 98, 120, 98, 122 }
{199,197,189,196,179,183,191,198,187,185,142,171,131,186,194,99,200,121,188,181,166,182,177,178,175,173,167,172,165,158,174,151,156,154,180,102,193,149,190,162,105,195,169,122,48,148,145,152,146,144,161,143,184,114,119,126,128,160,141,163,130,140,139,159,136,113,153,127,117,116,71,192,101,133,80,137,73,168,155,95,164,132,129,118,108,125,106,47,147,100,103,124,78,112,111,120,90,176,88,138,25,79,92,91,135,123,72,96,54,39,109,70,93,65,157,44,110,134,115,107,74,63,84,55,46,83,86,170,42,82,53,60,56,50,87,150,94,67,38,6,14,18,28,62,69,41,97,104,77,85,76,27,51,98,58,31,57,68,75,21,33,35,30,10,59,61,29,64,34,17,23,13,12,89,81,66,52,20,37,15,36,22,16,11,43,24,49,4,40,9,19,3,7,8,2,45,0,5,26,32,1}

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

Returns: {0, 1, 0, 2, 0, 4, 0, 11, 0, 20, 0, 28, 0, 29, 0, 31, 0, 135, 1, 2, 1, 3, 1, 4, 1, 5, 1, 11, 1, 20, 1, 26, 1, 28, 1, 29, 1, 39, 1, 50, 1, 57, 2, 3, 2, 4, 2, 5, 2, 8, 2, 9, 2, 11, 2, 19, 2, 20, 2, 22, 2, 24, 2, 25, 3, 4, 3, 5, 3, 6, 3, 8, 3, 9, 3, 10, 3, 12, 3, 17, 3, 35, 4, 5, 4, 6, 4, 8, 4, 9, 4, 10, 4, 11, 4, 12, 4, 15, 4, 44, 5, 6, 5, 8, 5, 9, 5, 10, 5, 11, 5, 12, 5, 15, 5, 17, 5, 35, 5, 40, 5, 44, 5, 70, 5, 87, 5, 100, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 15, 6, 17, 6, 35, 6, 40, 6, 44, 6, 70, 6, 74, 6, 76, 6, 87, 6, 100, 6, 124, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 15, 7, 17, 7, 19, 7, 20, 7, 22, 7, 23, 7, 24, 7, 25, 7, 26, 7, 28, 7, 29, 7, 31, 7, 32, 7, 33, 7, 35, 7, 40, 7, 43, 7, 44, 7, 53, 7, 65, 7, 70, 7, 72, 7, 74, 7, 76, 7, 87, 7, 100, 7, 108, 7, 130, 7, 133, 7, 186, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 15, 8, 17, 8, 19, 8, 20, 8, 21, 8, 22, 8, 23, 8, 24, 8, 25, 8, 26, 8, 27, 8, 28, 8, 29, 8, 31, 8, 32, 8, 33, 8, 35, 8, 37, 8, 40, 8, 43, 8, 44, 8, 53, 8, 54, 8, 65, 8, 70, 8, 72, 8, 74, 8, 76, 8, 79, 8, 96, 8, 98, 8, 126, 9, 10, 9, 11, 9, 12, 10, 11, 10, 12, 10, 13, 10, 15, 10, 17, 10, 19, 10, 20, 10, 21, 10, 22, 10, 23, 10, 24, 10, 25, 10, 26, 10, 27, 10, 28, 10, 29, 10, 31, 10, 32, 10, 33, 10, 35, 10, 37, 10, 40, 10, 43, 10, 58, 10, 61, 10, 62, 10, 99, 11, 12, 11, 13, 11, 14, 11, 15, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 26, 11, 27, 11, 28, 11, 29, 11, 31, 11, 32, 11, 33, 11, 39, 11, 80, 12, 13, 12, 14, 12, 15, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 26, 12, 27, 12, 28, 12, 29, 12, 30, 12, 31, 12, 32, 12, 33, 12, 35, 12, 37, 12, 40, 12, 43, 12, 44, 12, 53, 12, 54, 12, 65, 12, 68, 12, 69, 12, 70, 12, 72, 12, 74, 12, 76, 12, 79, 12, 87, 12, 92, 12, 100, 12, 106, 12, 108, 12, 109, 12, 138, 12, 140, 12, 163, 12, 189, 12, 192, 13, 14, 13, 15, 13, 17, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 23, 13, 24, 13, 25, 13, 26, 13, 27, 13, 28, 13, 29, 13, 30, 13, 31, 13, 32, 13, 33, 13, 35, 13, 37, 13, 40, 13, 43, 13, 44, 13, 45, 13, 46, 13, 49, 13, 51, 13, 53, 13, 54, 13, 65, 13, 68, 13, 69, 13, 70, 13, 72, 13, 74, 13, 76, 13, 79, 13, 87, 13, 92, 13, 100, 13, 106, 13, 108, 13, 109, 13, 111, 13, 113, 13, 121, 14, 15, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 27, 14, 28, 14, 29, 14, 30, 14, 31, 14, 32, 14, 33, 14, 35, 14, 37, 14, 39, 14, 40, 14, 43, 14, 44, 14, 45, 14, 46, 14, 48, 14, 49, 14, 51, 14, 53, 14, 54, 14, 55, 14, 65, 14, 68, 14, 69, 14, 70, 14, 72, 14, 74, 14, 76, 14, 84, 14, 86, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 27, 15, 28, 15, 29, 15, 30, 15, 31, 15, 32, 15, 33, 15, 35, 15, 37, 15, 39, 15, 40, 15, 43, 15, 44, 15, 45, 15, 46, 15, 48, 15, 49, 15, 51, 15, 53, 15, 54, 15, 55, 15, 56, 15, 65, 15, 68, 15, 69, 15, 70, 15, 72, 15, 74, 15, 76, 15, 79, 15, 87, 15, 89, 15, 92, 15, 96, 15, 98, 15, 100, 15, 101, 15, 106, 15, 108, 15, 109, 15, 111, 15, 113, 15, 115, 15, 128, 15, 138, 15, 139, 15, 187, 15, 191, 15, 194, 15, 196, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 29, 16, 30, 16, 31, 16, 32, 16, 33, 16, 35, 16, 37, 16, 39, 16, 40, 16, 43, 16, 44, 16, 45, 16, 46, 17, 18, 17, 19, 17, 20, 17, 41, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 27, 18, 28, 18, 29, 18, 30, 18, 31, 18, 32, 18, 33, 18, 35, 18, 37, 18, 39, 18, 40, 18, 42, 18, 43, 18, 44, 18, 45, 18, 46, 18, 47, 18, 48, 18, 49, 18, 51, 18, 53, 18, 54, 18, 55, 18, 56, 18, 60, 18, 65, 18, 67, 18, 68, 18, 69, 18, 70, 18, 72, 18, 74, 18, 76, 18, 79, 18, 84, 18, 86, 18, 87, 18, 89, 18, 92, 18, 96, 18, 98, 18, 100, 18, 101, 18, 106, 18, 108, 18, 109, 18, 111, 18, 113, 18, 115, 18, 121, 18, 123, 18, 124, 18, 128, 18, 138, 18, 139, 18, 140, 18, 142, 18, 151, 18, 159, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 35, 19, 37, 19, 39, 19, 40, 19, 42, 19, 43, 19, 44, 19, 45, 19, 46, 19, 47, 19, 48, 19, 49, 19, 51, 19, 53, 19, 54, 19, 55, 19, 56, 19, 58, 19, 61, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 30, 20, 31, 20, 32, 20, 33, 20, 35, 20, 37, 20, 39, 20, 40, 20, 42, 20, 43, 20, 44, 20, 45, 20, 46, 20, 47, 20, 48, 20, 49, 20, 51, 20, 53, 20, 54, 20, 55, 20, 56, 20, 58, 20, 60, 20, 65, 20, 67, 20, 68, 20, 69, 20, 70, 20, 72, 20, 74, 20, 76, 20, 79, 20, 84, 20, 86, 20, 87, 20, 89, 20, 90, 20, 92, 20, 96, 20, 98, 20, 100, 20, 101, 20, 106, 20, 108, 20, 109, 20, 111, 20, 113, 20, 115, 20, 121, 20, 123, 20, 124, 20, 128, 20, 138, 20, 139, 20, 140, 20, 141, 20, 169, 20, 182, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 37, 21, 39, 21, 40, 21, 42, 21, 43, 21, 44, 21, 45, 21, 77, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 30, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 37, 22, 39, 22, 40, 22, 42, 22, 43, 22, 44, 22, 45, 22, 46, 22, 47, 22, 48, 22, 49, 22, 51, 22, 53, 22, 54, 22, 55, 22, 56, 22, 58, 22, 60, 22, 61, 22, 62, 22, 64, 22, 65, 22, 67, 22, 68, 22, 69, 22, 70, 22, 72, 22, 74, 22, 76, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 37, 23, 39, 23, 40, 23, 42, 23, 43, 23, 44, 23, 45, 23, 46, 23, 47, 23, 48, 23, 49, 23, 51, 23, 53, 23, 54, 23, 55, 23, 56, 23, 58, 23, 60, 23, 61, 23, 62, 23, 64, 23, 65, 23, 67, 23, 68, 23, 69, 23, 70, 23, 72, 23, 74, 23, 76, 23, 79, 23, 84, 23, 86, 23, 87, 23, 89, 23, 90, 23, 92, 23, 96, 23, 98, 23, 100, 23, 107, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 37, 24, 39, 24, 40, 24, 42, 24, 43, 24, 44, 24, 45, 24, 46, 24, 47, 24, 48, 24, 49, 24, 50, 24, 51, 24, 53, 24, 54, 24, 55, 24, 56, 24, 58, 24, 60, 24, 61, 24, 62, 24, 64, 24, 65, 24, 67, 24, 68, 24, 69, 24, 70, 24, 72, 24, 74, 24, 76, 24, 79, 24, 83, 24, 84, 24, 86, 24, 87, 24, 89, 24, 90, 24, 92, 24, 96, 24, 98, 24, 100, 24, 101, 24, 102, 24, 103, 24, 106, 24, 108, 24, 109, 24, 111, 24, 113, 24, 115, 24, 121, 24, 123, 24, 137, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 37, 25, 39, 25, 40, 25, 42, 25, 43, 25, 44, 25, 45, 25, 46, 25, 47, 25, 48, 25, 49, 25, 50, 25, 51, 25, 53, 25, 54, 25, 55, 25, 56, 25, 58, 25, 60, 25, 61, 25, 62, 25, 64, 25, 65, 25, 67, 25, 68, 25, 69, 25, 70, 25, 72, 25, 74, 25, 76, 25, 79, 25, 83, 25, 84, 25, 86, 25, 87, 25, 89, 25, 90, 25, 92, 25, 96, 25, 98, 25, 100, 25, 101, 25, 102, 25, 103, 25, 106, 25, 108, 25, 109, 25, 111, 25, 113, 25, 115, 25, 121, 25, 123, 25, 124, 25, 128, 25, 130, 25, 133, 25, 138, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 37, 26, 39, 26, 40, 26, 42, 26, 43, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 37, 27, 39, 27, 40, 27, 42, 27, 43, 27, 44, 27, 45, 27, 46, 27, 47, 27, 48, 27, 49, 27, 127, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 37, 28, 39, 28, 40, 28, 42, 28, 43, 28, 44, 28, 45, 28, 46, 28, 47, 28, 48, 28, 49, 28, 50, 28, 51, 28, 53, 28, 54, 28, 55, 28, 56, 28, 58, 28, 60, 28, 61, 28, 62, 28, 64, 28, 65, 28, 67, 28, 68, 28, 69, 28, 70, 28, 72, 28, 74, 28, 76, 28, 79, 28, 83, 28, 84, 28, 86, 28, 87, 28, 89, 28, 90, 28, 92, 28, 93, 28, 94, 28, 96, 28, 98, 28, 100, 28, 101, 28, 102, 28, 103, 28, 106, 28, 108, 28, 109, 28, 111, 28, 113, 28, 115, 28, 120, 28, 121, 28, 123, 28, 124, 28, 128, 28, 130, 28, 133, 28, 138, 28, 152, 28, 186, 28, 195, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 37, 29, 39, 29, 40, 29, 42, 29, 43, 29, 44, 29, 45, 29, 46, 29, 47, 29, 48, 29, 49, 29, 50, 29, 51, 29, 53, 29, 54, 29, 55, 29, 56, 29, 58, 29, 60, 29, 61, 29, 62, 29, 64, 29, 65, 29, 67, 29, 68, 29, 69, 29, 70, 29, 73, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 37, 30, 39, 30, 40, 30, 42, 30, 43, 30, 44, 30, 45, 30, 46, 30, 47, 30, 48, 30, 49, 30, 50, 30, 51, 30, 53, 30, 54, 30, 55, 30, 56, 30, 58, 30, 60, 30, 61, 30, 62, 30, 88, 31, 32, 31, 33, 31, 34, 31, 35, 31, 37, 31, 39, 31, 40, 31, 42, 31, 43, 31, 44, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 42, 32, 43, 32, 44, 32, 45, 32, 46, 32, 47, 32, 48, 32, 49, 32, 50, 32, 51, 32, 53, 32, 54, 32, 55, 32, 59, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 47, 33, 48, 33, 49, 33, 50, 33, 51, 33, 53, 33, 54, 33, 55, 33, 56, 33, 57, 33, 58, 33, 60, 34, 35, 34, 36, 34, 37, 34, 38, 34, 39, 34, 40, 34, 42, 34, 43, 34, 44, 34, 45, 34, 46, 34, 47, 34, 48, 34, 49, 34, 50, 34, 51, 34, 53, 34, 54, 34, 55, 34, 56, 34, 57, 34, 58, 34, 60, 34, 61, 34, 62, 34, 64, 34, 65, 34, 67, 34, 68, 34, 69, 34, 70, 34, 72, 34, 74, 34, 76, 34, 79, 34, 83, 34, 84, 34, 86, 34, 87, 34, 89, 34, 90, 34, 92, 34, 93, 34, 94, 34, 96, 34, 98, 34, 100, 34, 101, 34, 102, 34, 103, 34, 106, 34, 108, 34, 109, 34, 111, 34, 113, 34, 115, 34, 120, 34, 121, 34, 123, 34, 124, 34, 128, 34, 130, 34, 131, 34, 132, 34, 133, 34, 138, 34, 139, 34, 140, 34, 141, 34, 142, 34, 151, 34, 159, 34, 163, 34, 171, 34, 172, 35, 36, 35, 37, 35, 38, 35, 39, 35, 40, 35, 42, 35, 43, 35, 44, 35, 45, 35, 46, 35, 47, 35, 48, 35, 49, 35, 50, 35, 51, 35, 53, 35, 54, 35, 55, 35, 56, 35, 57, 35, 58, 35, 60, 35, 61, 35, 62, 35, 64, 35, 65, 35, 67, 35, 68, 35, 69, 35, 70, 35, 72, 35, 73, 35, 74, 35, 76, 35, 79, 35, 83, 35, 84, 35, 85, 35, 86, 35, 87, 35, 89, 35, 90, 35, 92, 35, 93, 35, 94, 35, 96, 35, 98, 35, 100, 35, 101, 35, 102, 35, 103, 35, 106, 35, 107, 35, 108, 35, 109, 35, 111, 35, 113, 35, 115, 35, 120, 35, 121, 35, 148, 36, 37, 36, 38, 36, 39, 36, 40, 36, 42, 36, 43, 36, 44, 36, 45, 36, 46, 36, 47, 36, 48, 36, 49, 36, 50, 36, 51, 36, 53, 36, 54, 36, 97, 37, 38, 37, 39, 37, 40, 37, 42, 37, 43, 37, 44, 37, 45, 37, 46, 37, 47, 37, 48, 37, 49, 37, 50, 37, 51, 37, 53, 37, 54, 37, 55, 37, 56, 37, 57, 37, 58, 37, 59, 37, 60, 37, 61, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 46, 38, 47, 38, 48 }
{284,299,295,320,264,285,322,309,308,310,298,319,321,316,242,302,307,210,262,266,297,292,288,275,312,245,279,239,306,252,289,221,166,291,293,251,304,294,296,300,268,240,280,253,270,317,257,303,277,255,315,244,305,117,318,287,217,179,177,113,153,283,227,219,281,173,168,246,260,282,154,314,261,272,107,238,278,247,237,234,290,198,196,254,226,286,271,195,189,190,241,201,203,32,216,194,202,225,103,222,265,276,110,274,232,301,184,213,223,259,248,115,143,171,263,273,200,208,313,185,82,155,178,231,209,199,193,211,207,141,162,100,180,228,311,250,87,134,160,230,186,119,131,157,164,150,256,183,41,204,192,206,163,80,235,214,181,182,120,249,161,205,188,55,212,236,156,224,138,142,95,170,73,37,132,121,149,78,175,139,92,267,66,176,243,84,152,129,258,269,218,148,71,127,125,89,67,118,39,144,151,128,75,56,187,167,130,99,169,79,69,136,114,174,88,94,135,111,47,49,197,51,83,108,54,105,191,165,137,70,96,77,60,106,124,159,16,81,112,45,133,85,116,158,57,22,220,172,126,2,17,63,27,43,11,122,140,102,72,26,109,48,76,93,68,101,38,42,229,40,123,91,1,147,98,46,36,215,97,23,53,61,24,145,65,6,62,9,59,5,14,33,15,34,10,104,13,0,30,58,31,3,29,28,19,44,74,12,8,64,90,86,233,4,18,52,21,50,7,35,25,146,20}

{216,95,85,302,237,59,124,14,160,58,39,201,193,42,192,241,80,107,166,231,230,50,150,264,11,46,26,321,102,121,298,120,7,61,300,251,189,322,209,261,253,195,123,31,36,147,258,256,81,200,43,0,262,295,292,245,254,106,271,246,169,301,32,10,110,6,232,309,28,272,76,199,51,274,235,270,163,49,289,234,212,2,146,143,198,74,242,126,119,97,37,281,203,210,84,317,8,122,108,250,113,98,103,315,294,127,105,54,69,148,248,179,188,156,314,273,178,191,142,215,1,175,82,40,223,213,47,55,313,141,202,196,94,194,91,265,25,63,154,284,165,116,240,316,73,151,56,239,23,278,173,291,157,90,125,130,275,182,218,259,229,111,92,310,220,77,247,185,117,18,144,171,71,19,78,249,12,132,70,139,131,29,66,276,57,88,67,27,304,186,244,104,162,118,20,38,86,197,99,17,159,128,75,34,187,93,68,303,282,140,233,13,306,184,228,268,115,204,224,114,307,65,41,236,3,222,149,221,181,206,269,62,183,252,227,72,5,16,286,133,152,164,308,318,290,225,211,155,176,277,170,208,53,267,260,312,280,297,285,279,135,48,214,266,9,167,129,255,217,205,96,283,22,134,33,145,137,101,305,83,219,60,24,226,320,177,174,112,180,190,243,299,64,288,207,158,319,257,30,168,79,263,45,161,311,172,89,15,293,287,100,35,238,4,87,52,21,136,138,109,296,153,44}

Returns: {0, 4, 0, 14, 0, 27, 0, 31, 0, 56, 0, 94, 1, 2, 1, 4, 1, 14, 1, 17, 1, 32, 1, 53, 1, 59, 1, 74, 1, 98, 1, 131, 1, 170, 2, 4, 2, 5, 2, 14, 2, 17, 2, 18, 2, 25, 2, 27, 2, 31, 2, 32, 2, 53, 2, 59, 2, 74, 2, 98, 2, 131, 2, 136, 2, 241, 3, 7, 3, 8, 3, 15, 4, 5, 4, 14, 4, 17, 4, 18, 4, 25, 4, 27, 4, 31, 4, 32, 4, 75, 4, 78, 5, 10, 5, 14, 5, 17, 5, 18, 5, 19, 5, 25, 5, 27, 5, 29, 5, 31, 5, 32, 5, 41, 5, 53, 5, 57, 5, 58, 5, 59, 5, 60, 5, 74, 5, 98, 5, 102, 5, 120, 5, 153, 5, 172, 5, 182, 5, 232, 5, 288, 6, 7, 6, 8, 6, 10, 6, 14, 6, 17, 6, 18, 6, 19, 6, 23, 6, 25, 6, 27, 6, 29, 6, 31, 6, 32, 6, 41, 6, 53, 6, 56, 6, 57, 6, 58, 6, 59, 6, 60, 6, 70, 6, 74, 6, 112, 6, 129, 6, 137, 6, 142, 6, 187, 6, 193, 6, 194, 6, 234, 7, 8, 7, 9, 7, 10, 7, 14, 7, 17, 7, 18, 7, 19, 7, 23, 7, 25, 7, 27, 7, 29, 7, 31, 7, 32, 7, 35, 7, 41, 7, 51, 7, 53, 7, 56, 7, 57, 7, 58, 7, 59, 7, 60, 7, 65, 7, 66, 7, 70, 7, 74, 7, 93, 7, 236, 7, 290, 8, 9, 8, 10, 8, 14, 8, 15, 8, 16, 8, 17, 8, 18, 8, 19, 8, 21, 8, 22, 8, 23, 8, 25, 8, 26, 8, 27, 8, 29, 8, 31, 8, 32, 8, 35, 8, 41, 8, 51, 8, 53, 8, 56, 8, 57, 8, 58, 8, 59, 8, 60, 8, 65, 8, 66, 8, 70, 8, 74, 8, 130, 8, 138, 9, 10, 9, 11, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 19, 9, 20, 9, 21, 9, 22, 9, 23, 9, 25, 9, 26, 9, 27, 9, 29, 9, 31, 9, 32, 9, 35, 9, 41, 9, 51, 9, 53, 9, 56, 9, 57, 9, 58, 9, 59, 9, 60, 9, 65, 9, 66, 9, 70, 9, 74, 9, 93, 9, 98, 9, 102, 9, 120, 9, 131, 9, 136, 9, 153, 9, 172, 9, 177, 9, 182, 9, 192, 9, 196, 9, 232, 9, 251, 9, 281, 9, 288, 9, 299, 10, 11, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 20, 10, 21, 10, 22, 10, 23, 10, 25, 10, 26, 10, 27, 10, 29, 10, 31, 10, 32, 10, 35, 10, 41, 10, 43, 10, 51, 10, 53, 10, 56, 10, 57, 10, 58, 10, 59, 10, 60, 10, 63, 10, 65, 10, 66, 10, 70, 10, 74, 10, 93, 10, 98, 10, 102, 10, 111, 10, 120, 10, 131, 10, 136, 10, 148, 10, 198, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 21, 11, 22, 11, 23, 11, 25, 11, 26, 11, 27, 11, 29, 11, 31, 11, 32, 11, 35, 11, 41, 11, 43, 11, 46, 11, 49, 11, 51, 11, 53, 11, 56, 11, 57, 11, 58, 11, 59, 11, 60, 11, 62, 11, 63, 11, 65, 11, 66, 11, 91, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 23, 12, 25, 12, 26, 12, 27, 12, 29, 12, 31, 12, 32, 12, 35, 12, 40, 12, 41, 12, 43, 12, 46, 12, 49, 12, 51, 12, 53, 12, 56, 12, 57, 12, 58, 12, 59, 12, 60, 12, 62, 12, 63, 12, 65, 12, 66, 12, 81, 12, 82, 12, 87, 12, 95, 12, 126, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 23, 13, 25, 13, 26, 13, 27, 13, 29, 13, 31, 13, 32, 13, 35, 13, 40, 13, 41, 13, 43, 13, 46, 13, 49, 13, 51, 13, 53, 13, 56, 13, 57, 13, 58, 13, 59, 13, 60, 13, 62, 13, 63, 13, 65, 13, 66, 13, 70, 13, 74, 13, 93, 13, 98, 13, 102, 13, 111, 13, 120, 13, 131, 13, 136, 13, 148, 13, 153, 13, 163, 13, 218, 13, 239, 13, 253, 13, 267, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 25, 14, 26, 14, 27, 14, 29, 14, 30, 14, 31, 14, 32, 14, 35, 14, 40, 14, 41, 14, 43, 14, 46, 14, 49, 14, 51, 14, 53, 14, 56, 14, 57, 14, 58, 14, 59, 14, 60, 14, 62, 14, 63, 14, 65, 14, 66, 14, 70, 14, 81, 14, 82, 14, 87, 14, 95, 14, 126, 14, 150, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 25, 15, 26, 15, 27, 15, 29, 15, 30, 15, 31, 15, 32, 15, 35, 15, 40, 15, 41, 15, 43, 15, 44, 15, 46, 15, 49, 15, 51, 15, 53, 15, 56, 15, 57, 15, 58, 15, 59, 15, 60, 15, 62, 15, 63, 15, 65, 15, 90, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 25, 16, 26, 16, 27, 16, 29, 16, 30, 16, 31, 16, 32, 16, 35, 16, 40, 16, 41, 16, 42, 16, 43, 16, 44, 16, 46, 16, 49, 16, 51, 16, 53, 16, 56, 16, 57, 16, 58, 16, 59, 16, 60, 16, 62, 16, 63, 16, 65, 16, 66, 16, 70, 16, 74, 16, 93, 16, 98, 16, 102, 16, 111, 16, 112, 16, 120, 16, 131, 16, 136, 16, 148, 16, 153, 16, 163, 16, 170, 16, 172, 16, 177, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 25, 17, 26, 17, 27, 17, 29, 17, 30, 17, 31, 17, 32, 17, 33, 17, 35, 17, 40, 17, 41, 17, 42, 17, 43, 17, 44, 17, 46, 17, 49, 17, 51, 17, 53, 17, 56, 17, 57, 17, 58, 17, 59, 17, 60, 17, 62, 17, 63, 17, 65, 17, 66, 17, 70, 17, 74, 17, 81, 17, 82, 17, 87, 17, 88, 17, 93, 17, 98, 17, 102, 17, 111, 17, 112, 17, 120, 17, 129, 17, 131, 17, 136, 17, 148, 17, 153, 17, 163, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 25, 18, 26, 18, 27, 18, 28, 18, 29, 18, 30, 18, 31, 18, 32, 18, 33, 18, 35, 18, 40, 18, 41, 18, 42, 18, 43, 18, 44, 18, 46, 18, 48, 18, 49, 18, 51, 18, 53, 18, 56, 18, 57, 18, 58, 18, 59, 18, 60, 18, 62, 18, 63, 18, 65, 18, 66, 18, 70, 18, 74, 18, 75, 18, 78, 18, 79, 18, 81, 18, 82, 18, 87, 18, 88, 18, 89, 18, 93, 18, 98, 18, 102, 18, 111, 18, 112, 18, 130, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 40, 19, 41, 19, 42, 19, 43, 19, 44, 19, 46, 19, 48, 19, 49, 19, 51, 19, 53, 19, 56, 19, 57, 19, 58, 19, 59, 19, 60, 19, 62, 19, 63, 19, 65, 19, 66, 19, 67, 19, 70, 19, 74, 19, 75, 19, 78, 19, 79, 19, 81, 19, 104, 19, 123, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 30, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 40, 20, 41, 20, 42, 20, 43, 20, 44, 20, 46, 20, 48, 20, 49, 20, 51, 20, 53, 20, 56, 20, 57, 20, 58, 20, 59, 20, 60, 20, 62, 20, 63, 20, 65, 20, 66, 20, 67, 20, 70, 20, 74, 20, 75, 20, 78, 20, 79, 20, 81, 20, 104, 20, 123, 20, 139, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 37, 21, 40, 21, 41, 21, 42, 21, 43, 21, 44, 21, 46, 21, 48, 21, 49, 21, 51, 21, 53, 21, 56, 21, 57, 21, 58, 21, 59, 21, 60, 21, 62, 21, 63, 21, 65, 21, 66, 21, 67, 21, 70, 21, 74, 21, 75, 21, 78, 21, 79, 21, 81, 21, 82, 21, 84, 21, 87, 21, 88, 21, 89, 21, 93, 21, 98, 21, 102, 21, 111, 21, 112, 21, 113, 21, 120, 21, 129, 21, 131, 21, 136, 21, 148, 21, 153, 21, 163, 21, 170, 21, 172, 21, 177, 21, 182, 21, 192, 21, 196, 21, 203, 21, 218, 21, 221, 21, 317, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 30, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 37, 22, 40, 22, 41, 22, 42, 22, 43, 22, 44, 22, 46, 22, 48, 22, 49, 22, 51, 22, 53, 22, 56, 22, 57, 22, 58, 22, 59, 22, 60, 22, 62, 22, 63, 22, 65, 22, 66, 22, 67, 22, 70, 22, 74, 22, 75, 22, 78, 22, 79, 22, 81, 22, 82, 22, 84, 22, 87, 22, 88, 22, 89, 22, 91, 22, 92, 22, 93, 22, 95, 22, 98, 22, 102, 22, 106, 22, 111, 22, 112, 22, 113, 22, 120, 22, 121, 22, 129, 22, 131, 22, 145, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 37, 23, 38, 23, 40, 23, 41, 23, 42, 23, 43, 23, 44, 23, 46, 23, 48, 23, 49, 23, 51, 23, 53, 23, 56, 23, 57, 23, 58, 23, 59, 23, 60, 23, 62, 23, 63, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 37, 24, 38, 24, 40, 24, 41, 24, 42, 24, 43, 24, 44, 24, 46, 24, 48, 24, 49, 24, 51, 24, 53, 24, 56, 24, 57, 24, 58, 24, 59, 24, 60, 24, 62, 24, 63, 24, 65, 24, 66, 24, 67, 24, 70, 24, 74, 24, 75, 24, 77, 24, 78, 24, 79, 24, 81, 24, 82, 24, 84, 24, 87, 24, 88, 24, 89, 24, 91, 24, 92, 24, 93, 24, 95, 24, 98, 24, 102, 24, 106, 24, 111, 24, 112, 24, 113, 24, 120, 24, 121, 24, 129, 24, 131, 24, 136, 24, 137, 24, 141, 24, 148, 24, 153, 24, 163, 24, 170, 24, 172, 24, 173, 24, 236, 24, 245, 24, 250, 24, 254, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 38, 25, 40, 25, 41, 25, 42, 25, 43, 25, 44, 25, 46, 25, 48, 25, 49, 25, 51, 25, 53, 25, 56, 25, 57, 25, 58, 25, 59, 25, 60, 25, 62, 25, 63, 25, 65, 25, 66, 25, 67, 25, 70, 25, 74, 25, 75, 25, 77, 25, 78, 25, 79, 25, 81, 25, 82, 25, 84, 25, 87, 25, 88, 25, 89, 25, 91, 25, 92, 25, 93, 25, 95, 25, 96, 25, 98, 25, 102, 25, 106, 25, 111, 25, 112, 25, 113, 25, 120, 25, 121, 25, 129, 25, 130, 25, 131, 25, 136, 25, 137, 25, 141, 25, 142, 25, 148, 25, 153, 25, 163, 25, 170, 25, 172, 25, 173, 25, 177, 25, 180, 25, 182, 25, 192, 25, 196, 25, 203, 25, 210, 25, 218, 25, 219, 25, 239, 25, 275, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 40, 26, 41, 26, 42, 26, 43, 26, 44, 26, 46, 26, 48, 26, 49, 26, 51, 26, 53, 26, 55, 26, 56, 26, 57, 26, 58, 26, 59, 26, 60, 26, 62, 26, 63, 26, 65, 26, 66, 26, 67, 26, 68, 26, 70, 26, 74, 26, 75, 26, 77, 26, 78, 26, 79, 26, 81, 26, 82, 26, 84, 26, 87, 26, 88, 26, 89, 26, 91, 26, 92, 26, 93, 26, 94, 26, 95, 26, 96, 26, 98, 26, 102, 26, 106, 26, 111, 26, 112, 26, 113, 26, 120, 26, 121, 26, 129, 26, 130, 26, 131, 26, 136, 26, 137, 26, 141, 26, 142, 26, 148, 26, 153, 26, 163, 26, 170, 26, 172, 26, 173, 26, 177, 26, 180, 26, 182, 26, 185, 26, 192, 26, 196, 26, 198, 26, 236, 26, 245, 26, 252, 26, 259, 27, 28, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 38, 28, 39, 28, 40, 28, 41, 28, 42, 28, 43, 28, 44, 28, 46, 28, 48, 28, 49, 28, 51, 28, 53, 28, 55, 28, 56, 28, 57, 28, 58, 28, 59, 28, 60, 28, 62, 28, 63, 28, 65, 28, 66, 28, 67, 28, 68, 28, 70, 28, 74, 28, 75, 28, 77, 28, 78, 28, 79, 28, 81, 28, 82, 28, 84, 28, 87, 28, 88, 28, 89, 28, 91, 28, 92, 28, 93, 28, 94, 28, 95, 28, 96, 28, 98, 28, 102, 28, 106, 28, 111, 28, 112, 28, 113, 28, 119, 28, 120, 28, 121, 28, 122, 28, 129, 28, 130, 28, 131, 28, 136, 28, 137, 28, 141, 28, 142, 28, 148, 28, 153, 28, 158, 28, 163, 28, 170, 28, 172, 28, 173, 28, 177, 28, 180, 28, 257, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 40, 29, 41, 29, 42, 29, 43, 29, 44, 29, 46, 29, 48, 29, 49, 29, 51, 29, 53, 29, 55, 29, 56, 29, 57, 29, 58, 29, 59, 29, 60, 29, 62, 29, 63, 29, 65, 29, 66, 29, 67, 29, 68, 29, 70, 29, 72, 29, 74, 29, 75, 29, 77, 29, 78, 29, 79, 29, 81, 29, 82, 29, 84, 29, 87, 29, 88, 29, 89, 29, 91, 29, 92, 29, 93, 29, 94, 29, 95, 29, 96, 29, 98, 29, 102, 29, 106, 29, 111, 29, 112, 29, 113, 29, 119, 29, 120, 29, 121, 29, 122, 29, 129, 29, 130, 29, 131, 29, 136, 29, 137, 29, 138, 29, 141, 29, 142, 29, 145, 29, 148, 29, 153, 29, 158, 29, 174, 29, 175, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 40, 30, 41 }
{39,36,41,42,38,43,35,32,30,40,29,24,28,37,34,26,27,23,22,25,21,17,19,31,16,20,13,14,11,15,8,18,5,10,12,3,4,6,9,2,7,0,33,1}

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

Returns: {0, 1, 0, 6, 0, 7, 0, 8, 0, 10, 0, 11, 0, 17, 0, 18, 0, 20, 1, 4, 2, 4, 2, 6, 2, 7, 2, 8, 2, 10, 2, 11, 2, 12, 2, 15, 2, 17, 2, 18, 2, 20, 2, 21, 2, 24, 2, 26, 2, 28, 2, 33, 2, 38, 3, 4, 3, 6, 3, 7, 3, 8, 3, 10, 3, 11, 3, 12, 3, 15, 3, 16, 3, 17, 3, 18, 3, 20, 3, 21, 3, 22, 3, 24, 3, 26, 3, 27, 3, 28, 3, 30, 3, 32, 4, 6, 4, 9, 5, 6, 5, 7, 5, 8, 5, 10, 5, 11, 5, 23, 6, 7, 6, 8, 6, 10, 6, 11, 6, 12, 6, 15, 6, 16, 6, 17, 6, 18, 6, 19, 6, 20, 6, 21, 6, 22, 6, 24, 6, 31, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 14, 7, 15, 7, 16, 7, 17, 7, 18, 7, 19, 7, 20, 7, 21, 7, 22, 7, 24, 7, 25, 7, 26, 7, 27, 7, 28, 7, 30, 7, 32, 7, 36, 8, 9, 8, 10, 8, 11, 8, 12, 8, 14, 8, 15, 8, 16, 8, 17, 8, 18, 8, 19, 8, 20, 8, 21, 8, 22, 8, 24, 8, 25, 8, 26, 8, 27, 8, 28, 8, 29, 8, 30, 8, 32, 8, 33, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 42, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 21, 12, 22, 12, 24, 12, 25, 12, 26, 12, 27, 12, 28, 12, 29, 12, 30, 12, 32, 12, 33, 12, 34, 12, 36, 12, 37, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 24, 13, 25, 13, 26, 14, 15, 14, 16, 14, 17, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 24, 15, 25, 15, 26, 15, 27, 15, 28, 15, 29, 15, 30, 15, 32, 15, 33, 15, 34, 15, 35, 15, 39, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 29, 16, 30, 16, 32, 16, 33, 16, 34, 16, 35, 16, 36, 16, 37, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 24, 17, 25, 17, 26, 17, 27, 17, 28, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 37, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 30, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 36, 20, 37, 20, 38, 20, 39, 20, 43, 21, 22, 22, 23, 22, 24, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 36, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 25, 26, 25, 27, 25, 42, 26, 27, 26, 28, 26, 29, 26, 30, 27, 28, 27, 42, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 40, 29, 43, 30, 31, 31, 32, 31, 33, 31, 34, 31, 35, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 33, 34, 33, 35, 33, 36, 34, 35, 35, 36, 35, 37, 35, 38, 36, 37, 36, 38, 36, 39, 36, 40, 38, 39, 40, 41 }
{439,426,442,441,424,433,425,417,260,435,431,282,445,401,449,450,428,444,360,420,438,413,391,416,301,339,419,334,446,352,388,436,370,408,392,302,418,389,201,308,365,410,421,393,355,448,319,351,400,415,332,404,189,405,434,437,350,309,373,430,303,423,387,398,296,382,337,330,255,383,432,359,371,329,276,447,443,390,412,411,353,314,363,328,356,327,364,372,367,369,409,325,406,321,402,307,298,376,375,429,349,362,149,427,207,244,395,396,403,440,394,295,386,57,366,323,368,287,251,281,322,275,239,407,374,414,331,259,380,333,335,347,338,216,274,345,164,311,310,297,191,233,292,381,346,299,272,384,240,293,336,205,399,361,379,144,324,348,172,291,241,378,377,265,317,288,231,203,266,294,312,258,224,343,98,210,280,237,286,279,155,290,304,163,236,283,354,92,318,178,247,313,289,208,170,273,269,342,235,284,199,305,422,261,215,183,340,167,249,219,119,225,267,306,143,200,245,104,234,173,157,228,277,145,187,222,227,179,270,278,107,242,254,206,186,124,156,246,250,223,300,159,221,262,271,220,212,344,27,146,209,341,137,252,243,218,397,268,202,26,193,197,135,188,253,229,86,316,116,204,176,232,158,37,230,153,358,115,128,166,264,118,81,198,177,190,185,150,211,75,385,136,194,34,180,105,168,122,161,169,171,257,217,263,109,142,78,131,214,123,93,213,95,151,83,165,154,326,88,182,132,103,68,94,174,108,129,90,147,162,91,101,61,238,140,97,195,160,55,134,7,226,24,74,112,110,175,121,130,256,84,8,357,126,181,152,141,138,96,89,76,36,102,117,111,73,51,64,71,79,58,120,87,133,127,114,41,67,46,70,56,32,82,43,49,125,72,62,42,248,80,17,320,65,47,285,44,52,38,30,106,63,77,100,13,148,53,33,139,66,45,23,60,21,29,19,40,1,11,2,22,184,59,85,99,54,4,35,9,50,48,196,113,31,3,20,10,5,15,69,28,14,25,12,6,39,0,16,192,18,315}

{324,54,229,422,363,127,106,298,212,118,284,242,81,392,36,450,376,285,343,124,430,405,139,157,42,210,394,23,446,155,176,119,53,191,259,163,245,389,226,283,365,317,328,403,406,355,224,327,400,367,413,202,78,424,200,437,270,448,91,314,154,207,14,209,295,173,98,99,100,69,432,103,57,306,76,177,368,379,299,374,112,48,391,219,246,258,39,348,121,362,383,123,266,31,431,260,165,90,188,218,63,147,296,332,373,71,417,27,32,21,248,444,198,25,158,17,89,55,193,204,404,105,262,370,122,111,130,420,318,312,87,338,113,222,426,72,34,184,337,297,385,93,335,377,364,277,240,308,287,288,398,86,261,358,64,9,319,316,421,340,442,132,441,293,136,125,162,189,339,436,73,137,30,360,35,84,65,232,164,110,174,138,378,116,59,8,22,366,449,325,423,144,88,208,13,74,425,26,235,354,166,131,185,291,214,95,352,206,33,371,322,286,257,51,62,171,396,334,167,272,263,315,303,247,107,349,75,97,269,381,146,94,361,274,438,347,276,280,195,244,114,40,399,356,294,197,238,344,419,19,149,150,289,237,145,49,359,333,2,439,290,215,28,129,307,408,37,29,241,313,401,407,203,45,194,387,386,182,282,273,159,440,265,70,255,61,96,281,1,38,108,305,160,199,304,187,228,418,66,233,181,134,225,117,243,44,292,341,395,320,236,161,6,43,353,278,10,402,309,434,213,351,20,397,445,68,382,411,83,58,223,410,264,217,267,183,175,429,92,141,7,428,384,142,47,60,220,271,350,180,357,85,443,101,253,79,302,172,234,321,231,16,179,67,323,4,104,254,170,251,135,186,3,329,311,412,41,388,250,168,56,256,143,156,393,196,120,433,390,336,80,330,380,128,151,331,115,133,24,230,268,46,109,345,153,375,140,77,409,148,11,310,301,190,221,414,0,201,211,447,300,178,15,169,326,275,239,369,279,50,372,342,249,5,12,416,205,82,126,435,152,252,346,216,227,52,102,415,192,18,427}

Returns: {0, 1, 0, 4, 0, 7, 0, 13, 0, 18, 0, 25, 0, 27, 0, 50, 0, 67, 0, 73, 0, 83, 0, 85, 0, 91, 0, 156, 1, 4, 1, 6, 1, 7, 1, 8, 1, 38, 1, 52, 1, 102, 1, 113, 1, 338, 1, 425, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 11, 2, 38, 2, 68, 2, 105, 2, 122, 2, 141, 2, 166, 2, 265, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 11, 3, 61, 3, 202, 4, 5, 4, 6, 4, 7, 4, 8, 4, 11, 4, 13, 4, 18, 4, 22, 4, 30, 4, 32, 4, 40, 4, 82, 5, 6, 5, 7, 5, 8, 5, 10, 5, 11, 5, 13, 5, 18, 5, 21, 5, 22, 5, 24, 5, 38, 5, 52, 5, 102, 5, 113, 5, 155, 5, 214, 5, 252, 5, 262, 5, 278, 5, 374, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 13, 6, 18, 6, 19, 6, 21, 6, 22, 6, 24, 6, 25, 6, 27, 6, 35, 6, 38, 6, 52, 6, 68, 6, 102, 6, 113, 6, 136, 6, 155, 6, 210, 6, 230, 6, 400, 7, 8, 7, 9, 7, 10, 7, 11, 7, 13, 7, 16, 7, 18, 7, 19, 7, 21, 7, 22, 7, 23, 7, 24, 7, 25, 7, 27, 7, 29, 7, 35, 7, 38, 7, 52, 7, 96, 8, 9, 8, 10, 8, 11, 8, 13, 8, 16, 8, 18, 8, 19, 8, 21, 8, 22, 8, 23, 8, 24, 8, 25, 8, 27, 8, 29, 8, 35, 8, 38, 8, 39, 8, 52, 8, 64, 8, 68, 8, 74, 8, 102, 8, 105, 8, 118, 8, 122, 8, 133, 8, 204, 8, 246, 9, 10, 9, 11, 9, 13, 9, 16, 9, 18, 9, 19, 9, 21, 9, 22, 9, 23, 9, 24, 9, 25, 9, 27, 9, 29, 9, 30, 9, 32, 9, 35, 9, 38, 9, 39, 9, 46, 9, 52, 9, 60, 9, 64, 9, 68, 9, 74, 9, 102, 9, 104, 9, 113, 9, 136, 9, 155, 9, 180, 9, 210, 9, 214, 9, 230, 9, 281, 10, 11, 10, 13, 10, 16, 10, 18, 10, 19, 10, 21, 10, 22, 10, 23, 10, 24, 10, 25, 10, 27, 10, 29, 10, 30, 10, 32, 10, 35, 10, 38, 10, 39, 10, 46, 10, 50, 10, 52, 10, 57, 10, 60, 10, 64, 10, 68, 10, 74, 10, 111, 10, 117, 10, 178, 10, 199, 11, 13, 11, 16, 11, 18, 11, 19, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 26, 11, 27, 11, 29, 11, 30, 11, 32, 11, 34, 11, 35, 11, 37, 11, 38, 11, 39, 11, 44, 11, 46, 11, 47, 11, 50, 11, 52, 11, 57, 11, 60, 11, 64, 11, 68, 11, 74, 11, 96, 11, 102, 11, 104, 11, 105, 11, 118, 11, 122, 11, 133, 11, 231, 12, 13, 12, 16, 12, 18, 12, 19, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 26, 12, 27, 12, 29, 12, 30, 12, 32, 12, 33, 12, 34, 12, 35, 12, 37, 12, 38, 12, 39, 12, 40, 12, 44, 12, 46, 12, 47, 12, 50, 12, 52, 12, 57, 12, 60, 12, 64, 12, 68, 12, 74, 12, 96, 12, 102, 12, 104, 12, 105, 12, 113, 12, 136, 12, 140, 12, 155, 12, 158, 12, 174, 12, 187, 12, 266, 12, 282, 13, 16, 13, 18, 13, 19, 13, 20, 13, 21, 13, 22, 13, 23, 13, 24, 13, 25, 13, 26, 13, 27, 13, 29, 13, 30, 13, 32, 13, 33, 13, 34, 13, 35, 13, 37, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 27, 14, 29, 14, 30, 14, 32, 14, 33, 14, 34, 14, 35, 14, 37, 14, 38, 14, 39, 14, 40, 14, 44, 14, 46, 14, 47, 14, 50, 14, 52, 14, 56, 14, 57, 14, 60, 14, 64, 14, 68, 14, 74, 14, 95, 14, 96, 14, 102, 14, 104, 14, 105, 14, 113, 14, 118, 14, 122, 14, 133, 14, 136, 14, 140, 14, 155, 14, 158, 14, 174, 14, 180, 14, 183, 14, 187, 14, 266, 14, 273, 14, 361, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 29, 16, 30, 16, 32, 16, 33, 16, 34, 16, 35, 16, 37, 16, 38, 16, 39, 16, 40, 16, 44, 16, 62, 16, 65, 16, 97, 17, 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32, 23, 33, 23, 34, 23, 35, 23, 36, 23, 37, 23, 38, 23, 39, 23, 40, 23, 41, 23, 43, 23, 44, 23, 46, 23, 47, 23, 50, 23, 52, 23, 56, 23, 57, 23, 60, 23, 64, 23, 66, 23, 67, 23, 68, 23, 73, 23, 74, 23, 81, 23, 83, 23, 85, 23, 91, 23, 93, 23, 95, 23, 96, 23, 102, 23, 104, 23, 105, 23, 111, 23, 113, 23, 117, 23, 118, 23, 119, 23, 121, 23, 122, 23, 127, 23, 133, 23, 136, 23, 140, 23, 141, 23, 148, 23, 151, 23, 155, 23, 158, 23, 167, 23, 174, 23, 180, 23, 183, 23, 187, 23, 194, 23, 207, 23, 210, 23, 214, 23, 220, 24, 25, 24, 26, 24, 27, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 37, 24, 38, 24, 39, 24, 40, 24, 41, 24, 43, 24, 44, 24, 46, 24, 47, 24, 48, 24, 50, 24, 52, 24, 56, 24, 57, 24, 60, 24, 64, 24, 66, 24, 67, 24, 68, 24, 73, 24, 74, 24, 81, 24, 83, 24, 85, 24, 91, 24, 93, 24, 95, 24, 96, 24, 102, 24, 104, 24, 105, 24, 111, 24, 113, 24, 117, 24, 118, 24, 119, 24, 121, 24, 122, 24, 127, 24, 133, 24, 134, 24, 136, 24, 140, 24, 141, 24, 148, 24, 151, 24, 155, 24, 158, 24, 167, 24, 174, 24, 180, 24, 183, 24, 187, 24, 189, 24, 194, 24, 207, 24, 210, 24, 214, 24, 217, 24, 266, 24, 273, 24, 282, 24, 289, 24, 322, 24, 332, 24, 338, 24, 366, 24, 378, 24, 383, 24, 388, 25, 26, 25, 27, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 38, 25, 39, 25, 40, 25, 41, 25, 43, 25, 44, 25, 46, 25, 47, 25, 48, 25, 50, 25, 52, 25, 56, 25, 57, 25, 58, 25, 60, 25, 64, 25, 66, 25, 67, 25, 68, 25, 73, 25, 74, 25, 81, 25, 83, 25, 85, 25, 91, 25, 93, 25, 95, 25, 96, 25, 102, 25, 104, 25, 105, 25, 111, 25, 113, 25, 117, 25, 118, 25, 119, 25, 121, 25, 122, 25, 127, 25, 133, 25, 134, 25, 136, 25, 140, 25, 141, 25, 148, 25, 151, 25, 155, 25, 158, 25, 166, 25, 172, 25, 175, 26, 27, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 39, 26, 40, 26, 41, 26, 43, 26, 44, 26, 46, 26, 47, 26, 48, 26, 50, 26, 52, 26, 63, 26, 106, 26, 110, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 38, 27, 39, 27, 40, 27, 41, 27, 43, 27, 44, 27, 46, 27, 47, 27, 48, 27, 50, 27, 51, 27, 52, 27, 56, 27, 57, 27, 58, 27, 60, 27, 64, 27, 66, 27, 67, 27, 68, 27, 73, 27, 74, 27, 81, 27, 83, 27, 85, 27, 91, 27, 93, 27, 95, 27, 96, 27, 102, 27, 104, 27, 105, 27, 111, 27, 113, 27, 117, 27, 118, 27, 119, 27, 121, 27, 122, 27, 127, 27, 133, 27, 134, 27, 136, 27, 140, 27, 141, 27, 148, 27, 151, 27, 155, 27, 158, 27, 166, 27, 167, 27, 174, 27, 180, 27, 183, 27, 187, 27, 189, 27, 194, 27, 207, 27, 210, 27, 214, 27, 217, 27, 220, 27, 223, 27, 230, 27, 235, 27, 248, 27, 259, 27, 342, 27, 411, 28, 29, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 40, 29, 41, 29, 42, 29, 43, 29, 44, 29, 46, 29, 47, 29, 48, 29, 49, 29, 50, 29, 51, 29, 52, 29, 56, 29, 57, 29, 58, 29, 60, 29, 62, 29, 64, 29, 66, 29, 67, 29, 68, 29, 73, 29, 74, 29, 81, 29, 83, 29, 85, 29, 91, 29, 93, 29, 95, 29, 96, 29, 102, 29, 104, 29, 105, 29, 111, 29, 113, 29, 117, 29, 118, 29, 119, 29, 121, 29, 122, 29, 127, 29, 133, 29, 134, 29, 136, 29, 140, 29, 141, 29, 146, 29, 148, 29, 151, 29, 155, 29, 158, 29, 160, 29, 166, 29, 167, 29, 172, 29, 174, 29, 180, 29, 183, 29, 187, 29, 189, 29, 194, 29, 205, 29, 207, 29, 210, 29, 214, 29, 217, 29, 220, 29, 223, 29, 230, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 44, 30, 46, 30, 47, 30, 48, 30, 49, 30, 50, 30, 51, 30, 52, 30, 53, 30, 56, 30, 57, 30, 58, 30, 60, 30, 62, 30, 64, 30, 65, 30, 66, 30, 67, 30, 68, 30, 71, 30, 73, 30, 74, 30, 81, 30, 83, 30, 85, 30, 91, 30, 93, 30, 95, 30, 96, 30, 102, 30, 104, 30, 105, 30, 111, 30, 113, 30, 117, 30, 118, 30, 119, 30, 121, 30, 122, 30, 127, 30, 133, 30, 134, 30, 136, 30, 140, 30, 141, 30, 146, 30, 148, 30, 151, 30, 155, 30, 158, 30, 160, 30, 166, 30, 167, 30, 172, 30, 174, 30, 175, 30, 180, 30, 183, 30, 187, 30, 189, 30, 194, 30, 205, 30, 207, 30, 210, 30, 270, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 40, 31, 41, 31, 42, 31, 43, 31, 44, 31, 46, 31, 47, 31, 48, 31, 49, 31, 50, 31, 51, 31, 52, 31, 53, 31, 56, 31, 57, 31, 58, 31, 60, 31, 62, 31, 64, 31, 65, 31, 66, 31, 67, 31, 68, 31, 71, 31, 73, 31, 74, 31, 80, 31, 81, 31, 83, 31, 85, 31, 91, 31, 93, 31, 95, 31, 96, 31, 102, 31, 104, 31, 105, 31, 111, 31, 113, 31, 117, 31, 118, 31, 119, 31, 121, 31, 122, 31, 127, 31, 133, 31, 134, 31, 136, 31, 140, 31, 141, 31, 146, 31, 148, 31, 151, 31, 155, 31, 158, 31, 160, 31, 166, 31, 167, 31, 172, 31, 174, 31, 175, 31, 180, 31, 183, 31, 187, 31, 189, 31, 194, 31, 200, 31, 205, 31, 207, 31, 210, 31, 214, 31, 217, 31, 220, 31, 223, 31, 230, 31, 235, 31, 248, 31, 252, 31, 262, 31, 278, 31, 281, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 41, 32, 42, 32, 43, 32, 44, 32, 46, 32, 47, 32, 48, 32, 49, 32, 50, 32, 51, 32, 52, 32, 53, 32, 56, 32, 57, 32, 58, 32, 60, 32, 62, 32, 64, 32, 65, 32, 66, 32, 67, 32, 68, 32, 71, 32, 73, 32, 74, 32, 80, 32, 81, 32, 83, 32, 85, 32, 91, 32, 93, 32, 95, 32, 96, 32, 102, 32, 104, 32, 105, 32, 111, 32, 113, 32, 117, 32, 118, 32, 119, 32, 121, 32, 122, 32, 127, 32, 133, 32, 134, 32, 136, 32, 140, 32, 141, 32, 146, 32, 148, 32, 151, 32, 155, 32, 158, 32, 160, 32, 166, 32, 167, 32, 172 }
{258,190,468,456,232,467,54,490,13,462,497,477,482,293,432,404,446,373,471,338,448,269,436,478,327,374,53,469,486,179,475,208,159,52,399,499,403,214,487,465,333,387,230,286,342,315,428,278,444,392,384,416,175,379,437,344,276,463,423,389,447,472,135,442,281,496,298,372,485,270,426,460,474,346,435,369,452,450,480,260,395,339,329,334,425,145,375,229,492,94,200,409,479,481,413,196,488,322,102,380,181,458,457,431,455,495,430,421,267,241,224,226,489,377,370,493,410,366,332,337,429,296,352,300,46,330,419,323,211,279,295,483,464,438,254,307,246,312,407,283,284,303,134,119,433,250,385,162,275,203,233,41,383,302,440,210,213,396,434,266,449,65,141,365,304,169,261,259,168,411,204,491,268,104,220,88,391,189,361,255,340,251,263,202,427,124,225,371,386,466,484,182,294,122,347,417,394,174,309,351,368,357,129,163,364,353,123,79,236,381,459,336,397,19,178,316,39,439,60,358,238,317,112,273,305,158,400,355,321,308,453,199,271,192,72,401,306,362,167,165,443,235,422,150,360,398,285,206,476,207,131,215,29,201,393,115,290,418,445,390,183,184,359,388,345,100,144,231,280,242,218,301,451,80,349,109,412,227,473,414,17,219,185,245,8,188,64,318,59,350,91,114,187,415,498,108,149,288,382,83,378,328,103,152,454,137,0,105,289,252,470,237,155,99,38,194,354,320,253,234,228,110,34,125,75,277,494,127,24,48,113,55,118,143,325,16,299,257,121,76,166,186,164,93,197,68,67,272,89,35,30,264,32,170,461,408,96,142,70,292,193,146,420,341,297,33,205,147,44,240,402,160,248,262,222,111,287,406,28,40,71,424,223,356,172,343,10,86,314,106,74,239,244,221,101,49,198,363,326,117,78,313,243,191,173,154,171,5,376,130,209,98,274,7,73,12,85,61,20,132,249,95,136,126,256,153,47,217,212,367,62,265,348,291,161,116,247,310,63,177,282,92,156,195,51,77,18,97,319,216,42,43,82,441,87,58,45,151,120,335,50,11,176,90,37,128,27,69,133,36,157,405,311,180,84,23,139,57,4,21,2,148,324,22,140,14,56,66,81,107,1,31,9,6,25,138,331,15,26,3}

{210,190,360,203,13,467,38,206,93,175,322,66,482,268,64,387,297,373,55,338,195,117,10,438,112,125,53,283,138,41,340,119,159,52,200,114,337,101,468,142,251,404,194,172,116,286,169,278,475,247,236,40,329,163,371,277,254,76,423,250,193,248,361,87,281,255,123,355,485,270,191,368,263,346,292,256,59,450,388,260,395,339,216,301,356,47,222,139,106,94,399,29,212,295,477,444,2,266,58,367,24,129,496,435,474,296,148,421,152,115,215,226,391,179,359,269,34,303,217,145,61,495,425,449,39,330,347,83,294,20,113,120,32,478,276,207,246,184,311,19,167,63,134,26,238,137,385,162,160,430,0,202,103,302,62,122,275,396,81,306,386,65,214,271,403,308,433,284,21,369,204,462,293,104,428,196,377,189,249,457,491,166,455,456,465,75,178,416,67,128,459,182,448,124,499,453,219,12,156,331,353,357,471,68,318,446,44,127,315,28,390,336,382,154,317,442,279,168,42,174,45,97,18,110,25,150,394,372,321,80,483,267,365,192,72,176,82,362,3,78,211,197,183,109,73,307,8,161,244,170,49,149,1,431,223,341,177,345,445,401,422,312,370,480,486,397,490,158,398,379,218,334,451,121,349,242,35,432,358,414,17,493,316,409,285,188,199,473,74,489,100,351,108,298,328,153,309,411,418,208,488,436,392,132,454,484,48,105,479,252,470,173,88,56,54,230,319,198,253,140,147,224,111,225,258,291,494,164,181,155,443,92,118,213,343,16,299,410,136,333,408,71,165,232,235,141,259,272,57,412,11,264,434,77,461,463,14,452,7,393,86,130,364,228,209,305,205,439,415,240,498,487,378,262,350,429,287,310,6,261,186,424,70,229,384,400,419,15,144,239,96,344,380,221,231,27,320,363,326,389,91,375,417,426,237,69,90,5,376,146,460,98,95,79,9,243,413,30,180,314,300,23,143,126,135,22,290,50,497,46,60,274,84,374,201,342,383,406,327,234,282,402,37,469,476,288,381,447,332,227,102,107,257,441,348,220,420,151,481,440,304,437,354,171,185,335,131,85,133,36,157,405,407,289,280,265,233,89,4,43,472,466,324,187,492,241,99,245,464,273,325,31,427,51,33,366,458,313,323,352}

Returns: {0, 4, 0, 37, 0, 128, 0, 155, 2, 3, 2, 14, 2, 15, 2, 17, 2, 67, 2, 75, 2, 117, 2, 163, 2, 178, 2, 244, 3, 4, 3, 31, 3, 149, 4, 5, 4, 6, 4, 8, 5, 6, 6, 8, 6, 26, 6, 33, 6, 124, 6, 151, 6, 216, 6, 314, 7, 8, 7, 9, 7, 13, 7, 21, 7, 31, 7, 37, 7, 42, 7, 87, 7, 110, 7, 128, 7, 149, 7, 247, 8, 9, 8, 13, 8, 14, 8, 15, 8, 17, 8, 19, 8, 21, 8, 29, 8, 32, 8, 62, 8, 89, 8, 343, 9, 11, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 19, 9, 21, 9, 24, 9, 29, 9, 31, 9, 32, 9, 52, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 19, 10, 21, 10, 24, 10, 29, 10, 97, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 19, 11, 21, 11, 24, 11, 25, 11, 29, 11, 31, 11, 32, 11, 37, 11, 42, 11, 52, 11, 62, 11, 85, 11, 89, 11, 98, 11, 175, 11, 207, 11, 234, 11, 345, 11, 346, 11, 487, 12, 13, 12, 14, 13, 14, 13, 15, 13, 16, 13, 17, 13, 19, 13, 20, 13, 21, 13, 22, 13, 24, 13, 25, 13, 29, 13, 31, 13, 32, 13, 37, 13, 172, 14, 15, 14, 16, 14, 17, 14, 19, 14, 20, 14, 21, 14, 22, 14, 24, 14, 25, 14, 29, 14, 31, 14, 32, 14, 37, 14, 42, 14, 52, 14, 62, 14, 85, 14, 89, 14, 98, 14, 142, 14, 143, 14, 161, 14, 286, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 24, 15, 25, 15, 29, 15, 31, 15, 34, 15, 41, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 24, 16, 25, 16, 29, 16, 31, 16, 32, 16, 37, 16, 40, 16, 45, 16, 66, 16, 364, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 24, 17, 25, 17, 29, 17, 31, 17, 32, 17, 34, 17, 36, 17, 37, 17, 67, 18, 19, 18, 20, 18, 21, 18, 22, 18, 24, 18, 25, 18, 29, 18, 31, 18, 32, 18, 34, 18, 36, 18, 37, 18, 40, 18, 42, 18, 43, 18, 47, 18, 52, 18, 62, 18, 85, 18, 89, 18, 98, 18, 142, 18, 143, 18, 161, 18, 173, 18, 175, 18, 207, 18, 218, 18, 288, 18, 331, 19, 20, 19, 21, 19, 22, 19, 24, 19, 25, 19, 29, 19, 31, 19, 32, 19, 34, 19, 36, 19, 37, 19, 40, 19, 41, 19, 42, 20, 21, 20, 22, 20, 24, 20, 25, 20, 29, 20, 31, 20, 32, 20, 34, 20, 36, 20, 37, 20, 40, 20, 41, 20, 42, 20, 43, 20, 47, 20, 52, 20, 56, 20, 62, 20, 85, 20, 87, 20, 90, 20, 95, 20, 443, 21, 22, 21, 23, 21, 24, 21, 25, 21, 27, 21, 29, 21, 31, 21, 32, 21, 34, 21, 36, 21, 37, 21, 40, 21, 41, 21, 42, 21, 43, 21, 44, 21, 45, 21, 47, 21, 52, 21, 56, 21, 62, 21, 69, 21, 79, 21, 85, 21, 87, 21, 89, 21, 98, 21, 142, 21, 143, 21, 161, 21, 173, 21, 332, 21, 399, 22, 23, 22, 24, 22, 25, 22, 26, 22, 33, 22, 124, 22, 151, 22, 213, 22, 280, 22, 335, 22, 386, 23, 24, 23, 25, 23, 26, 23, 27, 23, 29, 23, 31, 23, 32, 23, 34, 23, 36, 23, 37, 23, 48, 23, 63, 23, 133, 24, 25, 24, 26, 24, 27, 24, 29, 24, 31, 24, 32, 24, 34, 24, 36, 24, 37, 24, 40, 24, 41, 24, 42, 24, 43, 24, 44, 24, 45, 24, 47, 24, 52, 24, 56, 24, 62, 24, 69, 24, 79, 24, 85, 24, 87, 24, 89, 24, 90, 24, 95, 24, 98, 24, 142, 24, 143, 24, 161, 24, 173, 24, 185, 24, 193, 24, 222, 25, 26, 25, 27, 25, 29, 25, 30, 25, 31, 25, 32, 25, 34, 25, 36, 25, 37, 25, 40, 25, 41, 25, 42, 25, 43, 25, 44, 25, 45, 25, 47, 25, 52, 25, 56, 25, 62, 25, 64, 25, 69, 25, 79, 25, 85, 25, 87, 25, 89, 25, 90, 25, 95, 25, 98, 25, 100, 25, 142, 25, 143, 25, 161, 25, 162, 25, 173, 25, 185, 25, 202, 25, 323, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 124, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 36, 27, 37, 27, 40, 27, 41, 27, 42, 27, 43, 27, 44, 27, 45, 27, 47, 27, 49, 27, 50, 27, 52, 27, 56, 27, 62, 27, 64, 27, 139, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 36, 28, 37, 28, 39, 28, 40, 28, 41, 28, 42, 28, 43, 28, 44, 28, 45, 28, 47, 28, 49, 28, 50, 28, 52, 28, 53, 28, 55, 28, 56, 28, 62, 28, 64, 28, 69, 28, 79, 28, 85, 28, 87, 28, 89, 28, 90, 28, 95, 28, 98, 28, 100, 28, 142, 28, 143, 28, 147, 28, 161, 28, 162, 28, 173, 28, 476, 28, 495, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 36, 29, 37, 29, 39, 29, 40, 29, 41, 29, 42, 29, 43, 29, 44, 29, 45, 29, 46, 29, 47, 29, 49, 29, 50, 29, 52, 29, 53, 29, 55, 29, 56, 29, 62, 29, 64, 29, 66, 29, 69, 29, 79, 29, 85, 29, 87, 29, 89, 29, 90, 29, 95, 29, 98, 29, 100, 29, 110, 29, 111, 29, 124, 29, 151, 29, 213, 29, 216, 30, 31, 30, 32, 30, 33, 30, 34, 30, 36, 30, 37, 30, 39, 30, 40, 30, 41, 30, 42, 30, 43, 30, 44, 30, 45, 30, 46, 30, 47, 30, 49, 30, 50, 30, 52, 30, 53, 30, 55, 30, 56, 30, 62, 30, 64, 30, 180, 31, 32, 31, 33, 31, 34, 31, 36, 31, 37, 31, 39, 31, 40, 31, 41, 31, 42, 31, 43, 31, 44, 31, 45, 31, 46, 31, 47, 31, 49, 31, 50, 31, 52, 31, 53, 31, 55, 31, 56, 31, 62, 31, 64, 31, 66, 31, 69, 31, 79, 31, 85, 31, 87, 31, 89, 31, 90, 31, 95, 31, 98, 31, 100, 31, 110, 31, 111, 31, 124, 31, 128, 31, 142, 31, 143, 31, 147, 31, 161, 31, 162, 31, 173, 31, 185, 31, 193, 31, 206, 31, 222, 31, 332, 32, 33, 32, 34, 32, 36, 32, 37, 32, 39, 32, 40, 32, 41, 32, 42, 32, 43, 32, 44, 32, 45, 32, 46, 32, 47, 32, 49, 32, 50, 32, 51, 32, 52, 32, 53, 32, 55, 32, 56, 32, 59, 32, 62, 32, 64, 32, 66, 32, 69, 32, 79, 32, 85, 32, 87, 32, 89, 32, 90, 32, 95, 32, 98, 32, 100, 32, 109, 32, 110, 32, 111, 32, 124, 32, 128, 32, 142, 32, 143, 32, 147, 32, 161, 32, 162, 32, 173, 33, 34, 33, 36, 33, 37, 33, 39, 33, 40, 33, 41, 33, 42, 33, 43, 33, 44, 33, 45, 33, 46, 33, 47, 33, 48, 33, 49, 33, 50, 33, 51, 33, 52, 33, 53, 33, 55, 33, 56, 33, 59, 33, 62, 33, 64, 33, 66, 33, 67, 33, 69, 33, 79, 33, 82, 33, 85, 33, 87, 33, 89, 33, 90, 33, 95, 33, 98, 33, 100, 33, 109, 33, 110, 33, 111, 33, 124, 33, 128, 33, 142, 33, 143, 33, 147, 33, 151, 33, 213, 34, 36, 34, 37, 34, 39, 34, 40, 34, 41, 34, 42, 34, 43, 34, 44, 34, 45, 34, 46, 34, 47, 34, 48, 34, 49, 34, 50, 34, 51, 34, 52, 34, 53, 34, 55, 34, 56, 34, 59, 34, 62, 34, 64, 34, 66, 34, 67, 34, 69, 34, 73, 34, 79, 34, 81, 34, 82, 34, 85, 34, 87, 34, 89, 34, 90, 34, 95, 34, 98, 34, 100, 34, 108, 34, 109, 34, 110, 34, 111, 34, 124, 34, 128, 34, 142, 34, 143, 34, 147, 34, 149, 34, 151, 35, 36, 35, 37, 35, 38, 35, 39, 35, 40, 35, 41, 35, 42, 35, 43, 35, 44, 35, 45, 35, 46, 35, 47, 35, 48, 35, 49, 35, 50, 35, 51, 35, 52, 35, 53, 35, 55, 35, 56, 35, 59, 35, 62, 35, 64, 35, 66, 35, 67, 35, 69, 35, 73, 35, 75, 35, 79, 35, 81, 35, 82, 35, 83, 35, 85, 35, 87, 35, 89, 35, 90, 35, 95, 35, 98, 35, 100, 35, 108, 35, 109, 35, 110, 35, 111, 35, 124, 35, 128, 35, 142, 35, 143, 35, 147, 35, 149, 35, 151, 35, 155, 35, 161, 35, 162, 35, 165, 35, 168, 35, 173, 35, 185, 35, 193, 35, 202, 35, 206, 35, 222, 35, 255, 35, 291, 36, 37, 36, 38, 36, 39, 36, 40, 36, 41, 36, 42, 36, 43, 36, 44, 36, 45, 36, 46, 36, 47, 36, 48, 36, 49, 36, 50, 36, 51, 36, 52, 36, 53, 36, 55, 36, 56, 36, 59, 36, 62, 36, 64, 36, 66, 36, 67, 36, 69, 36, 73, 36, 75, 36, 79, 36, 81, 36, 82, 36, 83, 36, 119, 37, 38, 37, 39, 37, 40, 37, 41, 37, 42, 37, 43, 37, 44, 37, 45, 37, 46, 37, 47, 37, 48, 37, 49, 37, 50, 37, 51, 37, 52, 37, 53, 37, 55, 37, 56, 37, 58, 37, 59, 37, 62, 37, 64, 37, 66, 37, 67, 37, 69, 37, 73, 37, 75, 37, 79, 37, 81, 37, 82, 37, 83, 37, 85, 37, 87, 37, 89, 37, 90, 37, 95, 37, 98, 37, 100, 37, 108, 37, 109, 37, 110, 37, 111, 37, 124, 37, 128, 37, 142, 37, 143, 37, 147, 37, 149, 37, 151, 37, 155, 37, 156, 37, 161, 37, 162, 37, 165, 37, 168, 37, 173, 37, 175, 37, 207, 37, 394, 38, 39, 38, 40, 38, 41, 38, 42, 38, 43, 38, 44, 38, 45, 38, 46, 38, 47, 38, 48, 39, 40, 39, 41, 39, 42, 39, 43, 39, 44, 39, 45, 39, 46, 39, 47, 39, 48, 39, 49, 39, 50, 39, 51, 39, 52, 39, 53, 39, 54, 39, 55, 39, 56, 39, 58, 39, 59, 39, 62, 39, 64, 39, 66, 39, 67, 39, 69, 39, 73, 39, 75, 39, 79, 39, 81, 39, 82, 39, 83, 39, 85, 39, 87, 39, 89, 39, 90, 39, 95, 39, 98, 39, 100, 39, 108, 39, 109, 39, 110, 39, 111, 39, 124, 39, 128, 39, 134, 39, 136, 39, 142, 39, 143, 39, 147, 39, 149, 39, 151, 39, 155, 39, 156, 39, 161, 39, 162, 39, 165, 39, 168, 39, 173, 39, 175, 39, 185, 39, 193, 39, 266, 39, 333, 39, 357, 40, 41, 40, 42, 40, 43, 40, 44, 40, 45, 40, 46, 40, 47, 40, 48, 40, 49, 40, 50, 40, 51, 40, 52, 40, 53, 40, 54, 40, 55, 40, 56, 40, 58, 40, 59, 40, 62, 40, 64, 40, 66, 40, 67, 40, 69, 40, 73, 40, 75, 40, 79, 40, 81, 40, 82, 40, 83, 40, 85, 40, 87, 40, 89, 40, 90, 40, 95, 40, 97, 40, 98, 40, 100, 40, 108, 40, 109, 40, 110, 40, 111, 40, 124, 40, 128, 40, 134, 40, 136, 40, 181, 41, 42, 41, 43, 41, 44, 41, 45, 41, 46, 41, 47, 41, 48, 41, 49, 41, 50, 41, 51, 41, 52, 41, 53, 41, 54, 41, 55, 41, 56, 41, 58, 41, 59, 41, 62, 41, 64, 41, 66, 41, 67, 42, 43, 42, 44, 42, 45, 42, 46, 42, 47, 42, 48, 42, 49, 42, 50, 42, 51, 42, 52, 42, 53, 42, 54, 42, 55, 42, 56, 42, 58, 42, 59, 42, 62, 42, 64, 42, 66, 42, 67, 42, 69, 42, 73, 42, 75, 42, 79, 42, 81, 42, 82, 42, 83, 42, 85, 42, 87, 42, 89, 42, 90, 42, 95, 42, 97, 42, 98, 42, 100, 42, 108, 42, 109, 42, 110, 42, 111, 42, 124, 42, 128, 42, 134, 42, 136, 42, 142, 42, 143, 42, 147, 42, 149, 42, 151, 42, 155, 42, 156, 42, 161, 42, 162, 42, 165, 42, 170, 42, 183, 42, 231, 42, 315, 43, 44, 43, 45, 43, 46, 43, 47, 43, 48, 43, 49, 43, 50, 43, 51, 43, 52, 43, 53, 43, 54, 43, 55, 43, 56, 43, 58, 43, 59, 43, 62, 43, 64, 43, 66, 43, 67, 43, 69, 43, 73, 43, 75, 43, 79, 43, 81, 43, 82, 43, 83, 43, 85, 43, 87, 43, 89, 43, 90, 43, 95, 43, 97, 43, 98, 43, 100, 43, 108, 43, 109, 43, 110, 43, 111, 43, 124, 43, 128, 43, 134, 43, 136, 43, 142, 43, 143, 43, 147, 43, 149, 43, 151, 43, 155, 43, 156, 43, 161, 43, 162, 43, 165, 43, 168, 43, 173, 43, 197, 43, 384, 44, 45, 44, 46, 44, 47, 44, 48, 44, 49, 44, 50, 44, 51, 44, 52, 44, 53, 44, 54, 44, 55, 44, 56, 44, 58, 44, 59, 44, 62, 44, 64, 44, 66, 44, 67, 44, 69, 44, 73, 44, 75, 44, 79, 44, 80, 44, 81, 44, 82, 44, 83, 44, 85, 44, 86, 44, 87, 44, 89, 44, 90, 44, 95, 44, 97, 44, 98, 44, 100, 44, 108, 44, 109, 44, 110, 44, 111, 44, 124, 44, 128, 44, 134, 44, 136, 44, 142, 44, 143, 44, 145, 44, 147, 44, 149, 44, 150, 44, 151, 44, 155, 44, 156, 44, 161, 44, 162, 44, 165, 44, 168, 44, 170, 44, 173, 44, 175, 44, 185, 44, 193, 44, 202, 44, 206, 44, 222, 44, 255, 44, 332, 44, 338, 44, 399, 44, 435, 45, 46, 45, 47, 45, 48, 45, 49, 45, 50, 45, 51, 45, 52, 45, 53, 45, 54, 45, 55, 45, 56, 45, 58, 45, 59, 45, 60, 45, 62, 45, 63, 45, 64, 45, 66, 45, 67, 45, 69, 45, 70, 45, 73, 45, 75, 45, 79, 45, 80, 45, 81, 45, 82, 45, 83, 45, 85, 45, 86, 45, 87, 45, 89, 45, 90, 45, 95, 45, 97, 45, 98, 45, 100, 45, 108, 45, 109, 45, 110, 45, 111, 45, 139, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 53, 46, 54, 46, 55, 46, 56, 46, 57, 46, 58, 46, 59, 46, 60, 46, 62, 46, 63, 46, 64, 46, 66, 46, 67, 46, 69, 46, 70, 46, 73, 46, 75, 46, 79, 46, 80, 46, 81, 46, 82, 46, 83, 46, 85, 46, 86, 46, 87, 46, 89 }
{484,483,494,434,454,498,469,462,442,493,466,459,488,461,446,479,487,480,415,472,485,473,482,451,468,430,496,327,412,418,495,460,439,457,279,336,395,361,458,490,424,489,486,463,427,393,435,444,478,453,445,492,286,417,198,497,324,438,475,474,422,405,437,388,397,443,423,392,440,365,481,416,436,431,385,464,381,389,407,373,450,409,364,476,271,329,382,260,275,370,399,366,391,441,304,456,335,403,272,402,192,425,362,433,401,287,301,386,342,288,410,306,128,447,330,477,499,213,61,429,470,404,319,375,428,374,414,426,359,357,371,299,467,354,455,413,321,345,352,378,400,377,347,351,384,195,315,408,449,302,316,419,337,353,376,264,269,390,328,189,396,69,334,282,300,452,265,432,341,194,280,369,297,356,358,383,332,305,491,448,248,225,181,363,206,252,291,209,311,187,406,387,346,380,228,254,348,368,283,205,239,312,216,232,292,343,266,326,120,137,263,394,471,246,270,339,325,313,256,142,323,171,355,333,318,234,307,367,277,293,420,235,238,253,196,317,298,273,314,322,262,267,244,139,259,131,223,294,276,102,303,249,372,180,465,310,207,295,233,258,208,340,84,349,268,242,210,130,240,203,144,154,199,227,236,309,296,285,261,220,101,22,162,166,237,104,183,221,134,257,175,331,168,290,200,78,145,308,222,226,77,320,398,255,230,179,379,338,152,229,274,83,118,117,411,184,191,251,219,129,99,146,115,284,178,215,119,106,190,241,88,127,27,124,147,204,360,114,125,281,211,350,163,185,197,150,32,165,186,161,107,224,159,176,188,212,110,173,58,2,103,143,344,170,177,421,41,109,72,133,156,91,245,54,66,89,85,33,174,68,148,182,217,55,155,97,193,81,112,28,201,289,48,95,86,57,132,12,278,149,60,21,79,135,157,140,214,122,42,136,138,94,37,169,92,231,160,50,172,153,167,31,250,47,202,46,105,30,71,158,45,108,151,87,63,53,70,5,98,74,100,15,62,123,113,73,8,40,141,247,126,218,14,25,75,67,65,164,59,96,90,39,26,11,64,20,116,93,23,1,36,18,44,49,24,19,3,111,52,34,121,56,82,80,35,9,16,243,10,7,76,13,51,17,43,4,29,6,0,38}

{170,92,87,382,184,224,359,157,267,196,61,136,478,293,357,33,279,480,415,411,288,173,188,77,331,21,442,125,248,174,127,190,230,457,295,46,498,1,144,168,235,477,299,305,90,171,294,472,109,129,447,492,274,135,154,403,68,310,122,207,128,306,120,18,243,83,22,182,400,218,376,397,399,203,319,283,74,134,452,234,64,121,266,353,408,102,393,99,151,298,465,167,391,193,73,350,370,368,270,360,94,15,311,379,147,93,65,36,373,172,44,101,57,142,410,97,499,200,7,289,222,454,434,453,407,4,242,169,273,444,163,284,268,158,96,246,322,387,467,490,276,213,27,30,272,72,3,326,249,210,285,458,309,259,315,155,262,380,483,79,320,398,232,426,103,118,324,479,139,146,378,364,339,131,42,76,332,229,451,464,199,28,491,416,227,313,47,114,469,329,124,423,367,445,85,433,413,388,14,175,137,138,189,269,428,466,300,186,111,468,443,401,336,256,302,356,48,69,436,55,19,363,251,488,385,348,296,159,180,438,214,12,78,253,108,6,150,5,148,354,419,291,334,422,487,351,349,343,425,91,486,383,495,10,149,430,372,88,191,497,221,404,323,287,238,225,244,409,153,20,13,34,405,194,431,476,126,201,237,220,202,25,177,204,223,292,43,282,62,345,161,321,281,145,215,40,113,389,346,254,231,396,381,89,164,303,95,455,421,424,427,59,205,280,26,304,449,212,337,106,116,375,166,335,361,32,50,429,352,179,338,123,178,414,392,317,328,119,481,60,2,23,485,330,11,208,132,412,308,362,277,290,437,100,104,471,341,366,80,211,181,176,17,340,264,450,446,9,420,489,312,56,216,152,198,255,0,165,16,107,258,307,347,439,49,39,395,81,112,301,496,384,86,133,325,358,278,31,37,247,240,263,386,460,342,470,45,209,344,355,461,474,318,75,84,233,195,239,475,271,441,53,63,484,462,156,58,67,110,217,236,35,143,245,374,54,241,456,98,482,473,494,66,333,160,402,8,394,162,316,459,192,187,70,493,286,297,418,390,228,314,260,252,130,183,117,185,265,327,377,219,105,141,115,24,226,257,82,52,440,197,206,261,435,51,140,371,406,71,432,417,41,250,365,463,38,29,369,448,275}

Returns: {0, 1, 0, 3, 0, 18, 0, 27, 0, 34, 0, 54, 0, 100, 0, 159, 0, 182, 0, 221, 0, 363, 1, 3, 1, 4, 1, 8, 1, 18, 1, 25, 1, 27, 1, 28, 1, 34, 1, 52, 1, 54, 1, 84, 1, 87, 1, 100, 1, 112, 1, 208, 1, 249, 1, 280, 1, 320, 1, 385, 1, 393, 1, 411, 1, 414, 2, 3, 2, 4, 2, 6, 2, 7, 2, 8, 2, 14, 2, 18, 2, 25, 2, 27, 2, 28, 2, 34, 2, 35, 2, 52, 2, 54, 2, 84, 2, 87, 2, 100, 2, 112, 2, 145, 2, 159, 2, 182, 2, 189, 2, 208, 2, 249, 2, 280, 2, 320, 2, 330, 2, 433, 3, 4, 3, 6, 3, 7, 3, 8, 3, 11, 3, 14, 3, 18, 3, 25, 3, 27, 3, 28, 3, 29, 3, 34, 3, 35, 3, 36, 3, 45, 3, 63, 3, 74, 3, 86, 4, 6, 4, 7, 4, 8, 4, 10, 4, 11, 4, 13, 4, 14, 4, 18, 4, 23, 4, 25, 4, 27, 4, 28, 4, 29, 4, 34, 4, 35, 4, 36, 4, 37, 4, 52, 4, 54, 4, 56, 4, 84, 4, 87, 4, 88, 4, 98, 4, 100, 4, 112, 4, 117, 4, 145, 4, 159, 4, 169, 4, 182, 4, 189, 4, 208, 4, 315, 5, 6, 5, 7, 5, 8, 5, 10, 5, 11, 5, 13, 5, 14, 5, 18, 5, 23, 5, 25, 5, 27, 5, 28, 5, 29, 5, 34, 5, 35, 5, 36, 5, 37, 5, 45, 5, 52, 5, 54, 5, 56, 5, 84, 5, 87, 5, 88, 5, 98, 5, 100, 5, 112, 5, 117, 5, 180, 5, 181, 5, 351, 6, 7, 6, 8, 6, 10, 6, 11, 6, 13, 6, 14, 6, 18, 6, 23, 6, 25, 6, 27, 6, 28, 6, 29, 6, 32, 6, 34, 6, 35, 6, 36, 6, 37, 6, 45, 6, 52, 6, 54, 6, 128, 7, 8, 7, 9, 7, 10, 7, 11, 7, 13, 7, 14, 7, 18, 7, 23, 7, 25, 7, 27, 7, 28, 7, 29, 7, 32, 7, 34, 7, 35, 7, 36, 7, 37, 7, 45, 7, 52, 7, 54, 7, 56, 7, 84, 7, 87, 7, 88, 7, 98, 7, 100, 7, 112, 7, 117, 7, 145, 7, 159, 7, 169, 7, 182, 7, 189, 7, 208, 7, 221, 7, 253, 7, 282, 7, 349, 7, 352, 7, 404, 8, 9, 8, 10, 8, 11, 8, 13, 8, 14, 8, 18, 8, 23, 8, 25, 8, 27, 8, 28, 8, 29, 8, 32, 8, 34, 8, 35, 8, 36, 8, 37, 8, 40, 8, 45, 8, 52, 8, 54, 8, 56, 8, 63, 8, 67, 8, 69, 8, 82, 8, 84, 8, 85, 8, 87, 8, 88, 8, 94, 8, 98, 8, 100, 8, 112, 8, 117, 8, 145, 8, 156, 8, 241, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 18, 9, 23, 9, 25, 9, 27, 9, 28, 9, 29, 9, 32, 9, 34, 9, 35, 9, 36, 9, 37, 9, 40, 9, 44, 9, 45, 9, 52, 9, 53, 9, 54, 9, 56, 9, 61, 9, 63, 9, 67, 9, 69, 9, 74, 9, 76, 9, 79, 9, 82, 9, 84, 9, 85, 9, 87, 9, 88, 9, 94, 9, 98, 9, 100, 9, 112, 9, 117, 9, 145, 9, 155, 9, 159, 9, 169, 9, 234, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 17, 10, 18, 10, 19, 10, 23, 10, 24, 10, 25, 10, 27, 10, 28, 10, 29, 10, 32, 10, 34, 10, 35, 10, 36, 10, 37, 10, 40, 10, 44, 10, 45, 10, 52, 10, 53, 10, 54, 10, 56, 10, 61, 10, 63, 10, 64, 10, 67, 10, 69, 10, 74, 10, 76, 10, 79, 10, 82, 10, 84, 10, 85, 10, 87, 10, 88, 10, 94, 10, 98, 10, 100, 10, 105, 10, 112, 10, 117, 10, 118, 11, 12, 11, 13, 11, 14, 11, 15, 11, 17, 11, 18, 11, 19, 11, 21, 11, 23, 11, 24, 11, 25, 11, 27, 11, 28, 11, 29, 11, 31, 11, 32, 11, 33, 11, 34, 11, 35, 11, 36, 11, 37, 11, 40, 11, 44, 11, 45, 11, 52, 11, 53, 11, 54, 11, 56, 11, 61, 11, 63, 11, 64, 11, 67, 11, 69, 11, 74, 11, 76, 11, 77, 11, 79, 11, 82, 11, 84, 11, 85, 11, 87, 11, 88, 11, 94, 11, 98, 11, 100, 11, 105, 11, 106, 11, 109, 11, 112, 11, 117, 11, 118, 11, 145, 11, 155, 11, 156, 11, 159, 11, 169, 11, 182, 11, 189, 11, 208, 11, 209, 11, 409, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 21, 12, 48, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 21, 13, 23, 13, 24, 13, 25, 13, 27, 13, 28, 13, 29, 13, 31, 13, 32, 13, 33, 13, 34, 13, 35, 13, 36, 13, 37, 13, 40, 13, 44, 13, 45, 13, 52, 13, 53, 13, 54, 13, 56, 13, 61, 13, 63, 13, 64, 13, 67, 13, 69, 13, 74, 13, 76, 13, 77, 13, 79, 13, 82, 13, 84, 13, 85, 13, 87, 13, 88, 13, 94, 13, 96, 13, 98, 13, 100, 13, 105, 13, 106, 13, 109, 13, 131, 13, 172, 13, 229, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 27, 14, 28, 14, 29, 14, 31, 14, 32, 14, 33, 14, 34, 14, 35, 14, 36, 14, 37, 14, 40, 14, 44, 14, 45, 14, 46, 14, 52, 14, 53, 14, 54, 14, 56, 14, 60, 14, 61, 14, 63, 14, 64, 14, 67, 14, 69, 14, 74, 14, 76, 14, 77, 14, 79, 14, 82, 14, 84, 14, 85, 14, 87, 14, 88, 14, 94, 14, 102, 14, 128, 14, 129, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 27, 15, 28, 15, 29, 15, 31, 15, 32, 15, 33, 15, 34, 15, 35, 15, 36, 15, 37, 15, 40, 15, 44, 15, 45, 15, 46, 15, 52, 15, 53, 15, 54, 15, 56, 15, 60, 15, 61, 15, 63, 15, 64, 15, 67, 15, 69, 15, 74, 15, 76, 15, 77, 15, 79, 15, 82, 15, 84, 15, 85, 15, 86, 15, 87, 15, 88, 15, 89, 15, 91, 15, 94, 15, 96, 15, 98, 15, 100, 15, 105, 15, 106, 15, 109, 15, 112, 15, 117, 15, 118, 15, 145, 15, 155, 15, 156, 15, 159, 15, 161, 15, 358, 15, 366, 15, 377, 16, 17, 16, 18, 16, 19, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 27, 16, 28, 16, 29, 16, 31, 16, 32, 16, 33, 16, 34, 16, 35, 16, 36, 16, 37, 16, 40, 16, 44, 16, 45, 16, 46, 16, 52, 16, 53, 16, 54, 16, 56, 16, 60, 16, 61, 16, 63, 16, 64, 16, 67, 16, 69, 16, 74, 16, 76, 16, 77, 16, 79, 16, 82, 16, 84, 16, 85, 16, 86, 16, 87, 16, 88, 16, 89, 16, 91, 16, 94, 16, 96, 16, 98, 16, 100, 16, 105, 16, 106, 16, 109, 16, 111, 16, 112, 16, 117, 16, 118, 16, 145, 16, 155, 17, 18, 17, 19, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 27, 18, 19, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 27, 18, 28, 18, 29, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 36, 18, 37, 18, 38, 18, 40, 18, 44, 18, 45, 18, 46, 18, 47, 18, 52, 18, 53, 18, 54, 18, 56, 18, 60, 18, 61, 18, 63, 18, 64, 18, 67, 18, 69, 18, 71, 18, 74, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 27, 19, 28, 19, 29, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 37, 19, 38, 19, 40, 19, 44, 19, 45, 19, 46, 19, 47, 19, 50, 19, 52, 19, 53, 19, 54, 19, 56, 19, 60, 19, 61, 19, 63, 19, 64, 19, 66, 19, 67, 19, 69, 19, 71, 19, 74, 19, 76, 19, 314, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 27, 20, 28, 20, 29, 20, 31, 20, 32, 20, 33, 20, 34, 20, 35, 20, 36, 20, 37, 20, 38, 20, 40, 20, 44, 20, 45, 20, 46, 20, 47, 20, 50, 20, 52, 20, 53, 20, 54, 20, 56, 20, 57, 20, 60, 20, 61, 20, 63, 20, 64, 20, 66, 20, 67, 20, 69, 20, 71, 20, 74, 20, 76, 20, 77, 20, 79, 20, 82, 20, 84, 20, 85, 20, 86, 20, 87, 20, 88, 20, 89, 20, 91, 20, 94, 20, 96, 20, 98, 20, 100, 20, 105, 20, 106, 20, 109, 20, 111, 20, 112, 20, 117, 20, 118, 21, 22, 21, 23, 21, 24, 21, 25, 21, 27, 21, 28, 21, 29, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36, 21, 37, 21, 38, 21, 40, 21, 44, 21, 45, 21, 46, 21, 47, 21, 49, 21, 50, 21, 52, 21, 53, 21, 54, 21, 56, 21, 57, 21, 60, 21, 61, 21, 63, 21, 64, 21, 66, 21, 67, 21, 69, 21, 71, 21, 74, 21, 76, 21, 77, 21, 78, 21, 79, 21, 82, 21, 84, 21, 85, 21, 86, 21, 87, 21, 88, 21, 89, 21, 91, 21, 94, 21, 96, 21, 98, 21, 100, 21, 102, 21, 105, 21, 106, 21, 109, 21, 111, 21, 112, 21, 117, 21, 118, 21, 131, 21, 145, 21, 155, 21, 156, 21, 159, 21, 161, 21, 166, 21, 169, 21, 180, 21, 181, 21, 182, 21, 184, 21, 189, 21, 208, 21, 209, 21, 221, 21, 253, 21, 282, 21, 290, 21, 357, 22, 23, 22, 24, 22, 25, 22, 27, 22, 28, 22, 29, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 36, 22, 37, 22, 38, 22, 40, 22, 44, 22, 45, 22, 46, 22, 47, 22, 49, 22, 50, 22, 52, 22, 53, 22, 54, 22, 56, 22, 57, 22, 60, 22, 61, 22, 62, 22, 63, 22, 64, 22, 66, 22, 67, 22, 69, 22, 71, 22, 74, 22, 76, 22, 77, 22, 78, 22, 79, 22, 82, 22, 84, 22, 85, 22, 86, 22, 87, 22, 88, 22, 89, 22, 91, 22, 94, 22, 96, 22, 98, 22, 100, 22, 102, 22, 105, 22, 106, 22, 109, 22, 111, 22, 112, 22, 117, 22, 118, 22, 131, 22, 145, 22, 155, 22, 156, 22, 159, 22, 161, 22, 166, 22, 169, 22, 180, 22, 181, 22, 182, 22, 184, 22, 187, 22, 189, 22, 199, 22, 208, 22, 209, 22, 221, 22, 253, 22, 354, 23, 24, 23, 25, 23, 27, 23, 28, 23, 29, 23, 31, 23, 32, 23, 33, 23, 34, 23, 35, 23, 36, 23, 37, 23, 38, 23, 40, 23, 44, 23, 45, 23, 46, 23, 47, 23, 49, 23, 50, 23, 52, 23, 53, 23, 54, 23, 56, 23, 57, 23, 60, 23, 61, 23, 62, 23, 63, 23, 64, 23, 66, 23, 67, 23, 69, 23, 71, 23, 74, 23, 76, 23, 77, 23, 78, 23, 79, 23, 81, 23, 82, 23, 84, 23, 85, 23, 86, 23, 87, 23, 88, 23, 89, 23, 91, 23, 94, 23, 96, 23, 98, 23, 100, 23, 102, 23, 105, 23, 106, 23, 108, 23, 109, 23, 111, 23, 112, 23, 117, 23, 118, 23, 122, 23, 131, 23, 145, 23, 149, 23, 155, 23, 156, 23, 159, 23, 161, 23, 166, 23, 169, 23, 180, 23, 181, 23, 182, 23, 184, 23, 187, 23, 189, 23, 199, 23, 208, 23, 209, 23, 219, 23, 243, 23, 245, 23, 249, 23, 262, 23, 295, 23, 300, 24, 25, 24, 27, 24, 28, 24, 29, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 37, 24, 38, 24, 40, 24, 43, 24, 44, 24, 45, 24, 46, 24, 47, 24, 49, 24, 50, 24, 52, 24, 53, 24, 54, 24, 56, 24, 57, 24, 60, 24, 61, 24, 62, 24, 63, 24, 64, 24, 66, 24, 67, 24, 69, 24, 71, 24, 74, 24, 76, 24, 77, 24, 78, 24, 79, 24, 81, 24, 82, 24, 84, 24, 85, 24, 86, 24, 87, 24, 88, 24, 89, 24, 91, 24, 94, 24, 96, 24, 98, 24, 100, 24, 102, 24, 105, 24, 106, 24, 108, 24, 109, 24, 111, 24, 112, 24, 162, 24, 176, 24, 291, 25, 26, 25, 27, 25, 28, 25, 29, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 38, 25, 40, 25, 43, 25, 44, 25, 45, 25, 46, 25, 47, 25, 49, 25, 50, 25, 52, 25, 53, 25, 54, 25, 56, 25, 57, 25, 60, 25, 61, 25, 62, 25, 63, 25, 64, 25, 66, 25, 67, 25, 69, 25, 71, 25, 74, 25, 76, 25, 77, 25, 78, 25, 79, 25, 81, 25, 82, 25, 84, 25, 85, 25, 86, 25, 87, 25, 88, 25, 89, 25, 91, 25, 92, 25, 94, 25, 96, 25, 98, 25, 100, 25, 102, 25, 105, 25, 106, 25, 108, 25, 109, 25, 111, 25, 112, 25, 114, 25, 117, 25, 118, 25, 122, 25, 131, 25, 145, 25, 149, 25, 155, 25, 156, 25, 159, 25, 161, 25, 163, 25, 166, 25, 169, 25, 180, 25, 181, 25, 182, 25, 184, 25, 185, 25, 187, 25, 189, 25, 199, 25, 208, 25, 209, 25, 219, 25, 221, 25, 243, 25, 245, 25, 249, 25, 262, 25, 280, 25, 281, 25, 401, 26, 27, 26, 28, 26, 29, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 40, 26, 43, 26, 44, 26, 45, 26, 46, 26, 47, 26, 49, 26, 50, 26, 52, 26, 53, 26, 54, 26, 56, 26, 57, 26, 60, 26, 61, 26, 62, 26, 63, 27, 28, 27, 29, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 38, 27, 40, 27, 43, 27, 44, 27, 45, 27, 46, 27, 47, 27, 49, 27, 50, 27, 52, 27, 53, 27, 54, 27, 56, 27, 57, 27, 60, 27, 61, 27, 62, 27, 63, 27, 64, 27, 66, 27, 67, 27, 69, 27, 71, 27, 73, 27, 74, 27, 76, 27, 77, 27, 78, 27, 79, 27, 81, 27, 82, 27, 84, 27, 85, 27, 86, 27, 87, 27, 88, 27, 89, 27, 91, 27, 92, 27, 94, 27, 96, 27, 98, 27, 100, 27, 102, 27, 105, 27, 106, 27, 108 }
{475,467,450,478,416,462,497,491,452,327,444,499,445,477,355,448,247,481,433,484,239,464,476,495,490,404,451,456,454,430,486,437,275,424,458,496,487,494,483,498,480,414,468,440,412,425,493,465,446,407,363,212,405,406,466,236,469,470,413,398,380,482,395,449,474,344,492,368,359,439,386,231,459,391,384,326,423,399,461,349,389,457,429,472,435,346,443,453,371,373,463,402,173,479,447,418,485,387,315,307,471,358,304,415,308,392,381,378,410,351,323,257,419,427,409,321,166,434,377,277,455,353,302,364,394,379,408,426,335,249,460,320,417,366,267,432,337,299,488,340,95,369,243,375,207,396,393,256,309,235,356,300,350,141,318,422,360,251,287,341,348,292,325,169,269,383,372,421,331,382,322,232,295,198,388,324,361,354,403,431,397,390,357,285,265,489,188,259,401,197,385,352,81,224,296,339,310,306,268,271,428,313,273,262,172,274,291,252,316,234,288,400,303,283,219,442,314,272,165,261,376,150,155,441,338,270,28,367,305,420,204,264,319,182,223,438,311,345,279,201,129,336,365,329,160,175,312,347,20,255,50,135,254,343,281,195,328,124,216,253,59,168,174,210,225,205,217,258,333,202,293,266,250,330,263,230,192,45,242,222,248,142,196,146,276,240,298,206,473,227,110,185,161,181,183,370,91,342,244,301,103,143,280,208,226,233,290,211,237,186,48,179,77,294,246,260,180,134,215,374,145,221,282,184,82,193,98,23,229,154,93,137,51,128,191,178,99,171,46,164,194,238,94,112,218,411,241,199,220,245,108,284,136,57,189,200,158,209,68,114,289,75,17,127,190,157,111,148,317,214,228,26,44,167,139,334,115,104,131,15,85,121,76,105,144,187,116,120,89,436,88,13,123,156,213,297,69,102,130,118,33,61,113,97,119,152,80,126,86,149,176,140,38,100,286,90,101,73,122,203,84,87,70,132,32,332,35,163,125,62,72,170,109,67,92,49,78,147,22,153,39,56,18,138,41,278,12,5,64,362,107,43,8,24,63,74,52,60,79,53,21,96,30,66,83,19,177,151,9,14,159,31,47,7,4,65,27,29,42,58,133,2,10,162,40,36,71,0,11,34,54,16,25,3,37,117,55,6,106,1}

{375,306,283,324,45,62,48,311,0,188,56,256,445,352,136,133,15,481,196,152,31,57,379,281,302,21,420,432,391,95,28,307,398,123,277,121,34,79,293,498,332,370,339,428,161,174,372,141,499,148,322,117,320,156,350,316,418,272,369,119,4,263,274,353,376,273,275,154,329,173,410,69,165,38,40,284,81,441,189,118,483,411,97,360,227,219,367,257,44,406,447,19,102,198,265,7,485,222,340,96,475,443,355,458,349,71,448,451,108,232,405,2,438,464,377,348,446,395,497,244,181,164,490,82,18,113,259,142,246,312,193,388,8,9,200,342,170,61,115,98,430,147,37,371,132,186,195,39,29,409,175,105,111,480,343,73,258,127,424,74,289,90,208,402,459,261,217,157,331,30,264,171,470,177,387,425,89,80,94,47,296,65,248,314,249,488,373,124,176,159,463,385,456,237,392,145,125,255,239,14,472,393,53,495,366,422,252,309,380,72,341,149,278,59,75,346,435,236,292,166,474,150,469,24,262,87,112,22,276,191,294,268,247,326,317,205,155,162,224,496,23,212,163,449,412,417,397,461,361,91,6,135,368,462,404,101,330,35,103,42,83,168,3,128,358,282,92,460,336,440,243,228,315,140,325,146,110,182,126,415,338,158,204,178,49,467,64,386,489,63,434,43,492,493,270,454,437,25,93,319,221,213,120,394,41,384,266,254,77,12,400,160,382,363,11,250,321,201,220,374,299,70,179,290,32,288,421,52,407,207,337,403,429,251,328,233,134,476,46,197,356,484,305,390,313,413,419,238,192,444,310,491,359,260,345,172,60,225,396,114,383,486,17,471,153,468,210,269,131,99,279,365,298,479,439,218,381,333,20,122,214,36,106,1,301,187,401,323,416,436,139,229,13,478,206,362,364,137,84,234,33,433,180,465,473,68,280,300,86,116,107,357,190,88,285,215,167,304,482,183,66,414,51,286,5,450,203,235,344,216,199,347,185,202,442,271,226,26,466,76,144,423,67,334,129,16,487,138,303,194,242,308,335,104,50,453,457,408,209,267,295,455,318,477,494,211,426,100,85,184,452,169,240,151,223,230,27,399,231,58,297,389,10,54,354,78,253,143,109,351,427,241,378,245,327,130,55,287,291,431}

Returns: {0, 1, 0, 2, 0, 4, 0, 25, 0, 59, 0, 60, 0, 107, 0, 118, 0, 143, 1, 2, 1, 4, 1, 9, 1, 75, 1, 98, 1, 99, 1, 197, 2, 4, 2, 5, 2, 8, 2, 9, 2, 10, 2, 14, 2, 65, 2, 75, 2, 98, 2, 99, 2, 102, 2, 122, 2, 137, 2, 158, 2, 183, 2, 213, 3, 4, 3, 5, 3, 8, 3, 9, 3, 10, 3, 12, 3, 14, 3, 18, 3, 25, 3, 41, 3, 44, 3, 49, 3, 50, 3, 65, 3, 75, 3, 98, 3, 99, 3, 162, 3, 175, 4, 5, 4, 8, 4, 9, 4, 10, 4, 12, 4, 14, 4, 16, 4, 20, 4, 51, 4, 92, 4, 116, 4, 140, 4, 192, 4, 250, 4, 277, 5, 8, 5, 9, 5, 10, 5, 12, 5, 14, 5, 15, 5, 16, 5, 18, 5, 20, 5, 51, 5, 55, 5, 71, 5, 92, 5, 116, 5, 140, 5, 153, 5, 192, 5, 250, 5, 312, 5, 358, 5, 429, 6, 7, 6, 8, 6, 9, 6, 10, 6, 12, 6, 14, 6, 15, 6, 16, 6, 18, 6, 20, 6, 25, 6, 29, 6, 32, 6, 51, 6, 55, 6, 71, 6, 92, 6, 116, 6, 140, 6, 153, 6, 192, 6, 240, 6, 250, 6, 260, 6, 277, 6, 310, 7, 8, 7, 9, 7, 10, 7, 12, 7, 14, 7, 15, 7, 16, 7, 18, 7, 20, 7, 25, 7, 29, 7, 32, 7, 33, 7, 41, 7, 44, 7, 49, 7, 50, 7, 52, 7, 59, 7, 60, 7, 62, 7, 65, 7, 68, 7, 75, 7, 79, 7, 85, 7, 98, 7, 99, 7, 102, 7, 201, 7, 236, 8, 9, 8, 10, 8, 12, 8, 14, 8, 15, 8, 16, 8, 18, 8, 20, 8, 25, 8, 29, 8, 31, 8, 32, 8, 33, 8, 41, 8, 44, 8, 49, 8, 50, 8, 51, 8, 55, 8, 71, 8, 92, 8, 116, 8, 140, 8, 144, 8, 153, 8, 163, 8, 192, 8, 218, 8, 221, 8, 226, 8, 248, 8, 362, 8, 379, 8, 391, 8, 446, 8, 447, 8, 474, 8, 481, 8, 487, 9, 10, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 18, 9, 20, 9, 25, 9, 29, 9, 31, 9, 32, 9, 33, 9, 41, 9, 44, 9, 49, 9, 50, 9, 51, 9, 52, 9, 53, 9, 55, 9, 71, 9, 92, 9, 116, 9, 140, 9, 144, 9, 153, 9, 173, 9, 186, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 18, 10, 20, 10, 25, 10, 29, 10, 31, 10, 32, 10, 33, 10, 41, 10, 44, 10, 45, 10, 49, 10, 50, 10, 51, 10, 52, 10, 53, 10, 55, 10, 59, 10, 60, 10, 62, 10, 65, 10, 67, 10, 68, 10, 71, 10, 92, 10, 116, 10, 140, 10, 144, 10, 153, 10, 163, 10, 192, 10, 218, 10, 221, 10, 222, 10, 226, 10, 240, 10, 250, 10, 257, 10, 260, 10, 277, 10, 353, 10, 441, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 18, 11, 20, 11, 25, 11, 26, 11, 29, 11, 31, 11, 32, 11, 33, 11, 41, 11, 44, 11, 45, 11, 49, 11, 50, 11, 51, 11, 52, 11, 53, 11, 55, 11, 59, 11, 60, 11, 62, 11, 65, 11, 67, 11, 68, 11, 71, 11, 75, 11, 79, 11, 85, 11, 92, 11, 111, 11, 147, 12, 13, 12, 14, 12, 15, 12, 16, 12, 18, 12, 20, 12, 21, 12, 25, 12, 26, 12, 29, 12, 31, 12, 32, 12, 33, 13, 14, 13, 15, 13, 16, 13, 18, 13, 20, 13, 21, 13, 25, 13, 26, 13, 27, 13, 28, 13, 29, 13, 31, 13, 32, 13, 33, 13, 41, 13, 43, 13, 44, 13, 45, 13, 49, 13, 50, 13, 51, 13, 52, 13, 53, 13, 55, 13, 59, 13, 60, 13, 62, 13, 65, 13, 67, 13, 68, 13, 70, 13, 71, 13, 75, 13, 79, 13, 85, 13, 121, 13, 191, 14, 15, 14, 16, 14, 17, 14, 18, 14, 20, 14, 21, 14, 25, 14, 26, 14, 27, 14, 28, 14, 29, 14, 31, 14, 32, 14, 33, 14, 41, 14, 43, 14, 44, 14, 45, 14, 49, 14, 50, 14, 51, 14, 52, 14, 53, 14, 55, 14, 58, 14, 59, 14, 60, 14, 62, 14, 65, 14, 67, 14, 68, 14, 70, 14, 71, 14, 74, 14, 75, 14, 79, 14, 85, 14, 92, 14, 98, 14, 99, 14, 102, 14, 104, 14, 111, 14, 116, 14, 140, 14, 144, 14, 149, 14, 153, 14, 163, 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19, 48, 19, 49, 19, 50, 19, 51, 19, 52, 19, 53, 19, 55, 19, 58, 19, 59, 19, 60, 19, 62, 19, 65, 19, 67, 19, 68, 19, 70, 19, 71, 19, 73, 19, 74, 19, 75, 19, 79, 19, 80, 19, 85, 19, 88, 19, 89, 19, 92, 19, 98, 19, 99, 19, 101, 19, 102, 19, 104, 19, 110, 19, 111, 19, 115, 19, 116, 19, 119, 19, 122, 19, 129, 19, 134, 19, 140, 19, 142, 19, 144, 19, 149, 19, 153, 19, 163, 19, 171, 19, 173, 19, 186, 19, 189, 19, 192, 19, 204, 19, 218, 19, 221, 19, 222, 19, 226, 19, 240, 19, 244, 19, 248, 19, 250, 19, 329, 19, 405, 20, 21, 20, 22, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 31, 20, 32, 20, 33, 20, 34, 20, 41, 20, 43, 20, 44, 20, 45, 20, 48, 20, 49, 20, 50, 20, 51, 20, 52, 20, 53, 20, 55, 20, 58, 20, 59, 20, 60, 20, 62, 20, 65, 20, 67, 20, 68, 20, 70, 20, 71, 20, 73, 20, 74, 20, 75, 20, 79, 20, 80, 20, 85, 20, 88, 20, 89, 20, 92, 20, 98, 20, 99, 20, 101, 20, 102, 20, 104, 20, 109, 20, 110, 20, 111, 20, 115, 20, 116, 20, 119, 20, 122, 20, 129, 20, 134, 20, 137, 20, 140, 20, 142, 20, 144, 20, 147, 20, 149, 20, 153, 20, 163, 20, 171, 20, 173, 20, 186, 20, 189, 20, 192, 20, 193, 20, 204, 20, 218, 20, 221, 20, 222, 20, 226, 20, 240, 20, 244, 20, 248, 20, 250, 20, 251, 20, 257, 20, 260, 20, 277, 20, 296, 20, 310, 20, 338, 20, 372, 20, 400, 20, 424, 20, 471, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 31, 21, 32, 21, 33, 21, 34, 21, 41, 21, 43, 21, 44, 21, 45, 21, 48, 21, 49, 21, 50, 21, 51, 21, 52, 21, 53, 21, 55, 21, 58, 21, 59, 21, 60, 21, 62, 21, 65, 21, 67, 21, 68, 21, 70, 21, 71, 21, 73, 21, 74, 21, 75, 21, 77, 21, 79, 21, 80, 21, 85, 21, 88, 21, 89, 21, 92, 21, 98, 21, 99, 21, 101, 21, 102, 21, 104, 21, 109, 21, 110, 21, 111, 21, 115, 21, 116, 21, 119, 21, 122, 21, 129, 21, 131, 21, 134, 21, 137, 21, 140, 21, 142, 21, 144, 21, 147, 21, 149, 21, 153, 21, 163, 21, 171, 21, 173, 21, 186, 21, 189, 21, 192, 21, 193, 21, 204, 21, 214, 21, 218, 21, 221, 21, 222, 21, 226, 21, 240, 21, 244, 21, 248, 21, 250, 21, 251, 21, 257, 21, 260, 21, 277, 21, 290, 21, 296, 21, 310, 21, 312, 21, 353, 21, 441, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 31, 22, 32, 22, 33, 22, 34, 22, 41, 22, 43, 22, 44, 22, 45, 22, 48, 22, 49, 22, 50, 22, 51, 22, 52, 22, 53, 22, 55, 22, 58, 22, 59, 22, 60, 22, 62, 22, 65, 22, 67, 22, 68, 22, 70, 22, 71, 22, 73, 22, 74, 22, 75, 22, 77, 22, 79, 22, 80, 22, 85, 22, 88, 22, 89, 22, 92, 22, 98, 22, 106, 22, 107, 22, 125, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 31, 23, 32, 23, 33, 23, 34, 23, 41, 23, 43, 23, 44, 23, 45, 23, 48, 23, 49, 23, 50, 23, 51, 23, 52, 23, 53, 23, 55, 23, 58, 23, 59, 23, 60, 23, 62, 23, 65, 23, 67, 23, 68, 23, 70, 23, 71, 23, 73, 23, 74, 23, 75, 23, 77, 23, 79, 23, 80, 23, 85, 23, 88, 23, 89, 23, 92, 23, 97, 23, 98, 23, 99, 23, 101, 23, 102, 23, 104, 23, 109, 23, 110, 23, 111, 23, 115, 23, 116, 23, 119, 23, 122, 23, 129, 23, 131, 23, 134, 23, 137, 23, 140, 23, 142, 23, 151, 23, 158, 23, 161, 23, 183, 23, 213, 23, 254, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 31, 24, 32, 24, 33, 24, 34, 24, 41, 24, 43, 24, 44, 24, 45, 24, 48, 24, 49, 24, 50, 24, 51, 24, 52, 24, 53, 24, 55, 24, 58, 24, 59, 24, 60, 24, 62, 24, 65, 24, 67, 24, 68, 24, 70, 24, 71, 24, 73, 24, 74, 24, 75, 24, 77, 24, 79, 24, 80, 24, 85, 24, 88, 24, 89, 24, 92, 24, 97, 24, 98, 24, 99, 24, 101, 24, 102, 24, 104, 24, 109, 24, 110, 24, 111, 24, 115, 24, 116, 24, 119, 24, 122, 24, 128, 24, 129, 24, 131, 24, 134, 24, 137, 24, 140, 24, 142, 24, 151, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 41, 25, 42, 25, 43, 25, 44, 25, 45, 25, 48, 25, 49, 25, 50, 25, 51, 25, 52, 25, 53, 25, 55, 25, 58, 25, 59, 25, 60, 25, 62, 25, 65, 25, 67, 25, 68, 25, 70, 25, 71, 25, 73, 25, 74, 25, 75, 25, 77, 25, 79, 25, 80, 25, 85, 25, 88, 25, 89, 25, 92, 25, 97, 25, 98, 25, 99, 25, 101, 25, 102, 25, 104, 25, 109, 25, 110, 25, 111, 25, 115, 25, 116, 25, 119, 25, 122, 25, 128, 25, 129, 25, 131, 25, 134, 25, 137, 25, 140, 25, 142, 25, 144, 25, 147, 25, 149, 25, 153, 25, 157, 25, 163, 25, 171, 25, 173, 25, 186, 25, 189, 25, 192, 25, 193, 25, 204, 25, 214, 25, 218, 25, 221, 25, 222, 25, 226, 25, 233, 25, 240, 25, 244, 25, 248, 25, 250, 25, 251, 25, 257, 25, 260, 25, 277, 25, 290, 25, 296, 25, 300, 25, 310, 25, 312, 25, 324, 25, 327, 25, 362, 25, 438, 25, 460, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 41, 26, 42, 26, 43, 26, 44, 26, 45, 26, 48, 26, 49, 26, 50, 26, 51, 26, 52, 26, 53, 26, 55, 26, 58, 26, 59, 26, 60, 26, 62, 26, 65, 26, 67, 26, 68, 26, 70, 26, 71, 26, 76, 26, 155, 26, 167, 26, 229, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 41, 27, 42, 27, 43, 27, 44, 27, 45, 27, 47, 27, 48, 27, 49, 27, 50, 27, 51, 27, 52, 27, 53, 27, 55, 27, 58, 27, 59, 27, 60, 27, 62, 27, 65, 27, 67, 27, 68, 27, 135, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 38, 28, 40, 28, 41, 28, 42, 28, 43, 28, 44, 28, 45, 28, 47, 28, 48, 28, 49, 28, 50, 28, 51, 28, 52, 28, 53, 28, 55, 28, 58, 28, 59, 28, 60, 28, 62, 28, 65, 28, 67, 28, 68, 28, 70, 28, 71, 28, 73, 28, 74, 28, 75, 28, 77, 28, 79, 28, 80, 28, 85, 28, 88, 28, 89, 28, 92, 28, 97, 28, 98, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 38, 29, 40, 29, 41, 29, 42, 29, 43 }
{494,483,486,490,491,437,450,484,473,487,417,478,431,440,314,471,479,442,360,452,461,492,458,499,378,455,434,387,467,476,374,459,424,358,482,355,489,469,470,485,369,497,426,451,385,435,454,350,428,85,433,481,462,403,466,498,352,400,332,414,391,429,447,329,407,495,319,323,460,289,373,371,416,397,288,333,418,493,488,347,353,448,464,432,438,381,322,444,425,265,318,340,465,472,377,427,480,287,379,382,420,401,413,338,356,151,315,328,390,277,475,411,392,86,383,399,92,477,370,204,412,436,280,393,474,449,306,362,234,496,398,290,386,364,95,380,297,375,354,302,152,84,365,468,294,269,311,330,419,361,349,191,244,150,193,443,325,372,321,453,270,346,308,341,342,396,402,236,279,404,304,273,143,114,248,331,181,327,339,157,190,326,445,441,292,264,410,295,196,305,368,463,367,299,345,89,409,212,384,243,174,52,254,263,312,300,249,303,457,456,344,405,313,192,258,351,240,184,284,250,389,218,207,233,206,317,363,260,266,221,271,268,130,167,149,394,276,165,107,186,178,228,439,348,256,301,110,376,164,217,421,272,200,309,195,293,296,168,415,430,359,446,423,343,316,188,183,320,285,108,194,242,179,259,210,336,337,224,257,40,176,201,189,230,10,125,202,159,146,129,324,422,222,235,310,307,154,282,214,246,219,171,225,142,251,182,91,46,47,395,226,223,117,231,245,21,160,55,64,335,115,177,139,238,116,220,211,82,2,136,406,247,138,49,147,83,90,187,199,112,298,173,166,388,144,148,69,291,131,275,119,334,216,68,141,209,237,45,104,134,121,145,99,38,203,274,162,23,106,366,180,78,198,205,197,267,109,140,241,75,127,170,58,133,239,132,13,261,229,175,22,93,278,18,286,185,53,124,137,66,98,30,88,283,67,408,105,57,62,79,11,76,156,126,253,227,135,163,208,161,94,172,29,73,26,101,50,111,28,158,255,34,15,48,120,61,36,32,7,96,87,213,0,43,357,153,155,100,60,25,103,63,54,74,51,70,24,97,19,59,35,5,102,42,65,128,118,113,262,1,252,215,44,12,81,39,37,122,27,3,20,56,8,41,17,9,33,281,14,72,80,4,71,77,169,6,31,123,16,232}

{68,112,193,458,389,396,152,437,473,369,4,381,371,83,194,118,74,442,295,70,75,47,16,181,338,165,195,275,125,276,268,180,19,450,348,366,331,469,489,139,141,429,426,316,85,314,379,60,438,156,17,279,170,142,94,182,454,205,91,232,45,315,413,347,292,404,149,467,257,0,462,236,76,223,482,414,84,382,324,10,166,3,325,55,253,358,378,251,363,213,272,494,247,472,430,353,445,191,216,497,415,64,459,346,2,148,63,174,274,6,386,364,470,103,367,214,89,387,59,204,412,135,207,155,40,187,5,48,234,218,479,54,56,50,368,284,418,266,132,303,106,296,365,215,403,30,227,270,242,478,202,231,244,79,477,301,136,167,93,168,380,217,27,463,393,138,402,14,92,18,186,474,100,29,49,212,317,159,243,343,390,177,41,493,464,183,254,283,196,137,432,144,360,102,408,21,395,263,203,433,417,52,31,468,140,129,110,23,219,120,221,405,128,115,305,69,240,184,65,20,461,409,481,298,57,424,157,260,355,449,38,310,95,373,273,78,228,456,42,88,466,356,147,261,101,24,145,9,81,431,280,448,465,495,130,287,401,122,226,277,391,199,487,288,278,350,436,189,105,108,117,351,192,460,341,36,397,109,185,385,176,239,111,327,323,423,333,233,372,383,113,222,422,197,374,62,77,282,293,486,320,206,376,163,302,330,200,13,498,26,154,335,483,86,245,114,150,398,428,44,394,46,452,235,15,304,370,410,164,143,96,490,133,419,258,37,237,269,326,32,255,210,123,359,440,35,388,308,444,475,313,178,224,162,339,161,342,22,104,134,407,400,362,250,427,488,336,61,248,160,334,357,425,267,406,262,99,285,241,332,375,344,492,289,211,7,447,294,439,411,259,322,384,392,309,43,306,190,377,201,107,329,361,312,496,443,230,198,340,345,11,121,208,126,451,476,453,119,286,297,87,471,328,281,151,172,28,446,354,271,434,34,116,53,1,291,399,173,25,146,441,435,179,455,321,153,188,319,265,225,480,220,290,485,51,90,131,97,98,72,229,238,80,337,82,249,421,307,127,175,252,73,457,12,420,39,499,299,33,484,246,264,8,352,171,349,209,158,58,124,311,300,71,416,169,256,66,491,67,318}

Returns: {0, 1, 0, 5, 0, 10, 0, 14, 0, 49, 0, 141, 0, 327, 0, 346, 0, 353, 1, 2, 1, 5, 1, 6, 1, 10, 1, 12, 1, 14, 1, 18, 1, 33, 1, 35, 1, 47, 1, 49, 1, 69, 1, 74, 1, 89, 1, 105, 1, 153, 1, 172, 1, 173, 1, 339, 2, 3, 2, 5, 2, 6, 2, 8, 2, 10, 2, 12, 2, 14, 2, 18, 2, 24, 2, 30, 2, 33, 2, 35, 2, 47, 2, 49, 2, 58, 2, 63, 2, 66, 2, 69, 2, 74, 2, 89, 2, 97, 2, 105, 2, 119, 2, 154, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 10, 3, 15, 3, 20, 3, 22, 4, 5, 4, 6, 4, 7, 4, 8, 4, 10, 4, 11, 4, 12, 4, 13, 4, 14, 4, 18, 4, 24, 4, 53, 4, 57, 4, 60, 4, 108, 4, 220, 5, 6, 5, 7, 5, 8, 5, 10, 5, 11, 5, 12, 5, 13, 5, 14, 5, 18, 5, 24, 5, 32, 5, 53, 5, 57, 5, 60, 5, 73, 5, 165, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 14, 6, 17, 6, 18, 6, 24, 6, 26, 6, 27, 6, 30, 6, 33, 6, 35, 6, 47, 6, 49, 6, 56, 6, 58, 6, 63, 6, 66, 6, 67, 6, 69, 6, 74, 6, 89, 6, 97, 6, 105, 6, 109, 6, 119, 6, 128, 6, 140, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 14, 7, 15, 7, 17, 7, 18, 7, 24, 7, 26, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 17, 9, 10, 9, 11, 9, 12, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 24, 9, 26, 9, 27, 9, 30, 9, 33, 9, 35, 9, 40, 10, 11, 10, 12, 10, 13, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 19, 10, 24, 10, 26, 10, 27, 10, 30, 10, 32, 10, 33, 10, 35, 10, 40, 10, 47, 10, 49, 10, 56, 10, 58, 10, 63, 10, 66, 10, 67, 10, 69, 10, 74, 10, 89, 10, 97, 10, 105, 10, 109, 10, 113, 10, 141, 10, 201, 10, 279, 10, 284, 10, 438, 10, 461, 10, 491, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 19, 11, 20, 11, 22, 11, 24, 11, 26, 11, 27, 11, 30, 11, 32, 11, 33, 11, 35, 11, 44, 11, 85, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 22, 12, 24, 12, 25, 12, 26, 12, 27, 12, 30, 12, 32, 12, 33, 12, 35, 12, 40, 12, 47, 12, 70, 12, 71, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 22, 13, 24, 13, 25, 13, 26, 13, 27, 13, 30, 13, 32, 13, 33, 13, 35, 13, 40, 13, 42, 13, 44, 13, 47, 13, 49, 13, 56, 13, 58, 13, 63, 13, 66, 13, 67, 13, 69, 13, 74, 13, 86, 13, 89, 13, 90, 13, 97, 13, 105, 13, 109, 13, 113, 13, 116, 13, 141, 13, 201, 13, 327, 13, 335, 14, 15, 14, 16, 14, 17, 14, 18, 14, 19, 14, 20, 14, 22, 14, 24, 14, 25, 14, 26, 14, 27, 14, 30, 14, 32, 14, 33, 14, 35, 14, 40, 14, 42, 14, 44, 14, 47, 14, 49, 14, 56, 14, 58, 14, 63, 14, 66, 14, 67, 14, 69, 14, 74, 14, 86, 14, 89, 14, 90, 14, 97, 14, 105, 14, 109, 14, 113, 14, 116, 14, 119, 14, 128, 14, 140, 14, 154, 14, 188, 14, 254, 14, 270, 15, 16, 15, 17, 15, 18, 15, 19, 15, 20, 15, 22, 15, 24, 15, 25, 15, 26, 15, 27, 15, 30, 15, 32, 15, 33, 15, 35, 15, 40, 15, 42, 15, 44, 15, 47, 15, 49, 15, 56, 15, 58, 15, 63, 15, 66, 15, 67, 15, 69, 15, 74, 15, 86, 15, 89, 15, 90, 15, 97, 15, 105, 15, 106, 15, 109, 15, 113, 15, 116, 15, 119, 15, 122, 15, 128, 15, 140, 15, 151, 15, 153, 15, 172, 15, 173, 15, 232, 15, 285, 15, 350, 15, 466, 16, 17, 16, 18, 16, 19, 16, 20, 16, 22, 16, 24, 16, 25, 16, 26, 16, 27, 16, 28, 16, 30, 16, 31, 16, 32, 16, 33, 16, 35, 16, 40, 16, 42, 16, 44, 16, 47, 16, 48, 16, 49, 16, 53, 16, 56, 16, 58, 16, 63, 16, 66, 16, 67, 16, 69, 16, 74, 16, 75, 16, 86, 16, 89, 16, 90, 16, 97, 16, 105, 16, 106, 16, 109, 16, 113, 16, 116, 16, 119, 16, 122, 16, 128, 16, 134, 16, 141, 16, 195, 16, 201, 16, 327, 16, 335, 16, 346, 16, 371, 16, 379, 16, 453, 17, 18, 17, 19, 17, 20, 17, 22, 17, 24, 17, 25, 17, 26, 17, 27, 17, 28, 17, 30, 17, 31, 17, 32, 17, 33, 17, 35, 17, 40, 17, 42, 18, 19, 18, 20, 18, 22, 18, 24, 18, 25, 18, 26, 18, 27, 18, 28, 18, 29, 18, 30, 18, 31, 18, 32, 18, 33, 18, 35, 18, 40, 18, 42, 18, 44, 18, 45, 18, 47, 18, 48, 18, 49, 18, 53, 18, 56, 18, 57, 18, 58, 18, 63, 18, 66, 18, 67, 18, 69, 18, 74, 18, 75, 18, 79, 18, 86, 18, 89, 18, 90, 18, 97, 18, 105, 18, 106, 18, 109, 18, 113, 18, 116, 18, 126, 18, 136, 18, 187, 19, 20, 19, 22, 19, 24, 19, 25, 19, 26, 19, 27, 19, 28, 19, 29, 19, 30, 19, 31, 19, 32, 19, 33, 19, 35, 19, 40, 19, 42, 19, 43, 19, 44, 19, 45, 19, 47, 19, 48, 19, 49, 19, 53, 19, 56, 19, 57, 19, 58, 19, 59, 19, 60, 19, 63, 19, 66, 19, 67, 19, 69, 19, 74, 19, 75, 19, 79, 19, 86, 19, 89, 19, 90, 19, 97, 19, 105, 19, 106, 19, 109, 19, 113, 19, 116, 19, 119, 19, 122, 19, 128, 19, 134, 19, 140, 19, 141, 19, 195, 19, 201, 19, 327, 19, 335, 19, 346, 19, 371, 19, 379, 19, 411, 19, 423, 19, 455, 20, 21, 20, 22, 20, 24, 20, 25, 20, 26, 20, 27, 20, 28, 20, 29, 20, 30, 20, 31, 20, 32, 20, 33, 20, 35, 20, 40, 20, 42, 20, 43, 20, 44, 20, 45, 20, 47, 20, 48, 20, 49, 20, 50, 20, 53, 20, 56, 20, 57, 20, 58, 20, 59, 20, 60, 20, 63, 20, 66, 20, 67, 20, 69, 20, 74, 20, 75, 20, 79, 20, 86, 20, 89, 20, 90, 20, 97, 20, 105, 20, 106, 20, 109, 20, 113, 20, 116, 20, 119, 20, 122, 20, 128, 20, 134, 20, 140, 20, 141, 20, 145, 20, 151, 20, 152, 20, 153, 20, 172, 20, 173, 20, 195, 20, 201, 20, 306, 20, 327, 20, 335, 20, 346, 20, 371, 20, 379, 20, 409, 20, 411, 20, 423, 20, 453, 21, 22, 21, 24, 21, 25, 21, 26, 21, 27, 21, 28, 21, 29, 21, 30, 21, 31, 21, 32, 21, 33, 21, 35, 21, 40, 21, 42, 21, 43, 21, 44, 21, 45, 21, 47, 21, 48, 21, 49, 21, 50, 21, 53, 21, 56, 21, 57, 21, 58, 21, 59, 21, 60, 21, 63, 21, 64, 21, 66, 21, 67, 21, 69, 21, 70, 21, 71, 21, 74, 21, 75, 21, 79, 21, 80, 21, 86, 21, 89, 21, 90, 21, 91, 21, 97, 21, 105, 21, 106, 21, 107, 21, 109, 21, 113, 21, 116, 21, 119, 21, 122, 21, 126, 21, 128, 21, 134, 21, 140, 21, 141, 21, 145, 21, 151, 21, 152, 21, 153, 21, 154, 21, 172, 21, 173, 21, 195, 21, 201, 21, 279, 21, 308, 22, 24, 22, 25, 22, 26, 22, 27, 22, 28, 22, 29, 22, 30, 22, 31, 22, 32, 22, 33, 22, 35, 22, 37, 22, 40, 22, 42, 22, 43, 22, 44, 22, 45, 22, 47, 22, 48, 22, 49, 22, 50, 22, 53, 22, 56, 22, 57, 22, 58, 22, 59, 22, 60, 22, 63, 22, 64, 22, 66, 22, 67, 22, 69, 22, 70, 22, 71, 22, 74, 22, 75, 22, 79, 22, 80, 22, 86, 22, 89, 22, 90, 22, 91, 22, 97, 22, 103, 22, 105, 22, 106, 22, 107, 22, 109, 22, 113, 22, 116, 22, 119, 22, 122, 22, 126, 22, 128, 22, 131, 22, 134, 22, 140, 22, 141, 22, 145, 22, 151, 22, 152, 22, 153, 22, 154, 22, 167, 22, 172, 22, 173, 22, 176, 22, 179, 22, 195, 22, 201, 22, 232, 22, 238, 22, 279, 22, 284, 22, 315, 22, 393, 22, 484, 22, 498, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 32, 23, 33, 23, 35, 23, 37, 23, 38, 23, 40, 23, 42, 23, 43, 23, 44, 23, 45, 23, 46, 23, 47, 23, 48, 23, 49, 23, 50, 23, 53, 23, 56, 23, 57, 23, 58, 23, 59, 23, 60, 23, 63, 23, 64, 23, 66, 23, 67, 23, 69, 23, 70, 23, 71, 23, 74, 23, 75, 23, 79, 23, 80, 23, 86, 23, 89, 23, 90, 23, 91, 23, 97, 23, 103, 23, 105, 23, 106, 23, 107, 23, 109, 23, 113, 23, 116, 23, 119, 23, 122, 23, 126, 23, 128, 23, 131, 23, 134, 23, 140, 23, 141, 23, 145, 23, 151, 23, 152, 23, 153, 23, 154, 23, 167, 23, 172, 23, 173, 23, 176, 23, 179, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 32, 24, 33, 24, 35, 24, 37, 24, 38, 24, 40, 24, 42, 24, 43, 24, 44, 24, 45, 24, 46, 24, 47, 24, 48, 24, 49, 24, 50, 24, 53, 24, 56, 24, 57, 24, 58, 24, 59, 24, 60, 24, 63, 24, 64, 24, 66, 24, 67, 24, 69, 24, 70, 24, 71, 24, 74, 24, 75, 24, 79, 24, 80, 24, 86, 24, 89, 24, 90, 24, 91, 24, 97, 24, 103, 24, 105, 24, 106, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 37, 25, 38, 25, 40, 25, 42, 25, 43, 25, 44, 25, 45, 25, 46, 25, 47, 25, 48, 25, 49, 25, 50, 25, 53, 25, 56, 25, 57, 25, 58, 25, 59, 25, 60, 25, 61, 25, 63, 25, 64, 25, 66, 25, 67, 25, 69, 25, 70, 25, 71, 25, 73, 25, 74, 25, 75, 25, 79, 25, 80, 25, 86, 25, 89, 25, 90, 25, 91, 25, 97, 25, 103, 25, 105, 25, 106, 25, 107, 25, 109, 25, 113, 25, 116, 25, 119, 25, 122, 25, 126, 25, 128, 25, 131, 25, 134, 25, 136, 25, 139, 25, 140, 25, 141, 25, 145, 25, 151, 25, 152, 25, 153, 25, 154, 25, 167, 25, 172, 25, 173, 25, 176, 25, 179, 25, 180, 25, 200, 25, 233, 25, 237, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 37, 26, 38, 26, 40, 26, 42, 26, 43, 26, 44, 26, 45, 26, 46, 26, 47, 26, 48, 26, 49, 26, 50, 26, 53, 26, 56, 26, 57, 26, 58, 26, 59, 26, 60, 26, 61, 26, 63, 26, 64, 26, 66, 26, 67, 26, 69, 26, 70, 26, 71, 26, 73, 26, 74, 26, 75, 26, 79, 26, 80, 26, 86, 26, 89, 26, 90, 26, 91, 26, 97, 26, 103, 26, 105, 26, 106, 26, 107, 26, 109, 26, 113, 26, 116, 26, 119, 26, 122, 26, 126, 26, 128, 26, 131, 26, 134, 26, 136, 26, 139, 26, 140, 26, 141, 26, 145, 26, 151, 26, 152, 26, 153, 26, 154, 26, 160, 26, 167, 26, 172, 26, 173, 26, 176, 26, 179, 26, 188, 26, 252, 26, 254, 26, 270, 27, 28, 27, 29, 27, 30, 27, 31, 27, 32, 27, 33, 27, 34, 27, 35, 27, 37, 27, 38, 27, 40, 27, 42, 27, 43, 27, 44, 27, 45, 27, 46, 27, 47, 27, 48, 27, 49, 27, 50, 27, 53, 27, 56, 27, 57, 27, 58, 27, 59, 27, 60, 27, 61, 27, 63, 27, 64, 27, 66, 27, 67, 27, 69, 27, 70, 27, 71, 27, 73, 27, 74, 27, 75, 27, 79, 27, 80, 27, 86, 27, 89, 27, 90, 27, 91, 27, 97, 27, 103, 27, 105, 27, 106, 27, 107, 27, 109, 27, 113, 27, 116, 27, 119, 27, 122, 27, 126, 27, 128, 27, 131, 27, 134, 27, 136, 27, 139, 27, 140, 27, 141, 27, 144, 27, 145, 27, 151, 27, 152, 27, 153, 27, 154, 27, 160, 27, 236, 27, 349, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 37, 28, 38, 28, 40, 28, 42, 28, 43, 28, 44, 28, 45, 28, 46, 28, 47, 28, 48, 28, 49, 28, 50, 28, 53, 28, 56, 28, 57, 28, 58, 28, 59, 28, 60, 28, 61, 28, 63, 28, 64, 28, 66, 28, 67, 28, 69, 28, 70, 28, 71, 28, 72, 28, 73, 28, 74, 28, 75, 28, 79, 28, 80, 28, 85, 28, 86, 28, 89, 28, 90, 28, 91, 28, 97, 28, 103, 28, 105, 28, 106, 28, 107, 28, 109, 28, 113, 28, 116, 28, 119, 28, 122, 28, 126, 28, 128, 28, 131, 28, 134, 28, 136, 28, 139, 28, 140, 28, 141, 28, 144, 28, 145, 28, 151, 28, 152, 28, 153, 28, 154, 28, 160, 28, 167, 28, 172, 28, 173, 28, 174, 28, 176, 28, 179, 28, 180, 28, 195, 28, 201, 28, 232, 28, 234, 28, 238, 28, 285, 28, 289, 28, 350, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 37, 29, 38, 29, 40, 29, 42, 29, 43, 29, 44, 29, 45, 29, 46, 29, 47, 29, 48, 29, 49, 29, 50, 29, 53, 29, 56, 29, 57, 29, 58, 29, 59, 29, 60, 29, 61, 29, 63, 29, 64, 29, 66, 29, 67, 29, 69, 29, 70, 29, 71, 29, 72, 29, 73, 29, 74, 29, 75, 29, 79, 29, 80, 29, 85, 29, 86, 29, 89, 29, 90, 29, 91, 29, 97, 29, 103, 29, 104, 29, 105, 29, 106, 29, 107, 29, 109, 29, 113, 29, 116, 29, 119, 29, 122, 29, 126, 29, 128, 29, 131, 29, 134, 29, 136, 29, 139, 29, 140, 29, 141, 29, 144, 29, 145, 29, 151, 29, 152, 29, 153, 29, 154, 29, 160, 29, 167, 29, 168, 29, 236, 29, 349 }
{499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0}

{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499}

Returns: {0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 12, 0, 13, 0, 14, 0, 15, 0, 16, 0, 17, 0, 18, 0, 19, 0, 20, 0, 21, 0, 22, 0, 23, 0, 24, 0, 25, 0, 26, 0, 27, 0, 28, 0, 29, 0, 30, 0, 31, 0, 32, 0, 33, 0, 34, 0, 35, 0, 36, 0, 37, 0, 38, 0, 39, 0, 40, 0, 41, 0, 42, 0, 43, 0, 44, 0, 45, 0, 46, 0, 47, 0, 48, 0, 49, 0, 50, 0, 51, 0, 52, 0, 53, 0, 54, 0, 55, 0, 56, 0, 57, 0, 58, 0, 59, 0, 60, 0, 61, 0, 62, 0, 63, 0, 64, 0, 65, 0, 66, 0, 67, 0, 68, 0, 69, 0, 70, 0, 71, 0, 72, 0, 73, 0, 74, 0, 75, 0, 76, 0, 77, 0, 78, 0, 79, 0, 80, 0, 81, 0, 82, 0, 83, 0, 84, 0, 85, 0, 86, 0, 87, 0, 88, 0, 89, 0, 90, 0, 91, 0, 92, 0, 93, 0, 94, 0, 95, 0, 96, 0, 97, 0, 98, 0, 99, 0, 100, 0, 101, 0, 102, 0, 103, 0, 104, 0, 105, 0, 106, 0, 107, 0, 108, 0, 109, 0, 110, 0, 111, 0, 112, 0, 113, 0, 114, 0, 115, 0, 116, 0, 117, 0, 118, 0, 119, 0, 120, 0, 121, 0, 122, 0, 123, 0, 124, 0, 125, 0, 126, 0, 127, 0, 128, 0, 129, 0, 130, 0, 131, 0, 132, 0, 133, 0, 134, 0, 135, 0, 136, 0, 137, 0, 138, 0, 139, 0, 140, 0, 141, 0, 142, 0, 143, 0, 144, 0, 145, 0, 146, 0, 147, 0, 148, 0, 149, 0, 150, 0, 151, 0, 152, 0, 153, 0, 154, 0, 155, 0, 156, 0, 157, 0, 158, 0, 159, 0, 160, 0, 161, 0, 162, 0, 163, 0, 164, 0, 165, 0, 166, 0, 167, 0, 168, 0, 169, 0, 170, 0, 171, 0, 172, 0, 173, 0, 174, 0, 175, 0, 176, 0, 177, 0, 178, 0, 179, 0, 180, 0, 181, 0, 182, 0, 183, 0, 184, 0, 185, 0, 186, 0, 187, 0, 188, 0, 189, 0, 190, 0, 191, 0, 192, 0, 193, 0, 194, 0, 195, 0, 196, 0, 197, 0, 198, 0, 199, 0, 200, 0, 201, 0, 202, 0, 203, 0, 204, 0, 205, 0, 206, 0, 207, 0, 208, 0, 209, 0, 210, 0, 211, 0, 212, 0, 213, 0, 214, 0, 215, 0, 216, 0, 217, 0, 218, 0, 219, 0, 220, 0, 221, 0, 222, 0, 223, 0, 224, 0, 225, 0, 226, 0, 227, 0, 228, 0, 229, 0, 230, 0, 231, 0, 232, 0, 233, 0, 234, 0, 235, 0, 236, 0, 237, 0, 238, 0, 239, 0, 240, 0, 241, 0, 242, 0, 243, 0, 244, 0, 245, 0, 246, 0, 247, 0, 248, 0, 249, 0, 250, 0, 251, 0, 252, 0, 253, 0, 254, 0, 255, 0, 256, 0, 257, 0, 258, 0, 259, 0, 260, 0, 261, 0, 262, 0, 263, 0, 264, 0, 265, 0, 266, 0, 267, 0, 268, 0, 269, 0, 270, 0, 271, 0, 272, 0, 273, 0, 274, 0, 275, 0, 276, 0, 277, 0, 278, 0, 279, 0, 280, 0, 281, 0, 282, 0, 283, 0, 284, 0, 285, 0, 286, 0, 287, 0, 288, 0, 289, 0, 290, 0, 291, 0, 292, 0, 293, 0, 294, 0, 295, 0, 296, 0, 297, 0, 298, 0, 299, 0, 300, 0, 301, 0, 302, 0, 303, 0, 304, 0, 305, 0, 306, 0, 307, 0, 308, 0, 309, 0, 310, 0, 311, 0, 312, 0, 313, 0, 314, 0, 315, 0, 316, 0, 317, 0, 318, 0, 319, 0, 320, 0, 321, 0, 322, 0, 323, 0, 324, 0, 325, 0, 326, 0, 327, 0, 328, 0, 329, 0, 330, 0, 331, 0, 332, 0, 333, 0, 334, 0, 335, 0, 336, 0, 337, 0, 338, 0, 339, 0, 340, 0, 341, 0, 342, 0, 343, 0, 344, 0, 345, 0, 346, 0, 347, 0, 348, 0, 349, 0, 350, 0, 351, 0, 352, 0, 353, 0, 354, 0, 355, 0, 356, 0, 357, 0, 358, 0, 359, 0, 360, 0, 361, 0, 362, 0, 363, 0, 364, 0, 365, 0, 366, 0, 367, 0, 368, 0, 369, 0, 370, 0, 371, 0, 372, 0, 373, 0, 374, 0, 375, 0, 376, 0, 377, 0, 378, 0, 379, 0, 380, 0, 381, 0, 382, 0, 383, 0, 384, 0, 385, 0, 386, 0, 387, 0, 388, 0, 389, 0, 390, 0, 391, 0, 392, 0, 393, 0, 394, 0, 395, 0, 396, 0, 397, 0, 398, 0, 399, 0, 400, 0, 401, 0, 402, 0, 403, 0, 404, 0, 405, 0, 406, 0, 407, 0, 408, 0, 409, 0, 410, 0, 411, 0, 412, 0, 413, 0, 414, 0, 415, 0, 416, 0, 417, 0, 418, 0, 419, 0, 420, 0, 421, 0, 422, 0, 423, 0, 424, 0, 425, 0, 426, 0, 427, 0, 428, 0, 429, 0, 430, 0, 431, 0, 432, 0, 433, 0, 434, 0, 435, 0, 436, 0, 437, 0, 438, 0, 439, 0, 440, 0, 441, 0, 442, 0, 443, 0, 444, 0, 445, 0, 446, 0, 447, 0, 448, 0, 449, 0, 450, 0, 451, 0, 452, 0, 453, 0, 454, 0, 455, 0, 456, 0, 457, 0, 458, 0, 459, 0, 460, 0, 461, 0, 462, 0, 463, 0, 464, 0, 465, 0, 466, 0, 467, 0, 468, 0, 469, 0, 470, 0, 471, 0, 472, 0, 473, 0, 474, 0, 475, 0, 476, 0, 477, 0, 478, 0, 479, 0, 480, 0, 481, 0, 482, 0, 483, 0, 484, 0, 485, 0, 486, 0, 487, 0, 488, 0, 489, 0, 490, 0, 491, 0, 492, 0, 493, 0, 494, 0, 495, 0, 496, 0, 497, 0, 498, 0, 499, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 13, 1, 14, 1, 15, 1, 16, 1, 17, 1, 18, 1, 19, 1, 20, 1, 21, 1, 22, 1, 23, 1, 24, 1, 25, 1, 26, 1, 27, 1, 28, 1, 29, 1, 30, 1, 31, 1, 32, 1, 33, 1, 34, 1, 35, 1, 36, 1, 37, 1, 38, 1, 39, 1, 40, 1, 41, 1, 42, 1, 43, 1, 44, 1, 45, 1, 46, 1, 47, 1, 48, 1, 49, 1, 50, 1, 51, 1, 52, 1, 53, 1, 54, 1, 55, 1, 56, 1, 57, 1, 58, 1, 59, 1, 60, 1, 61, 1, 62, 1, 63, 1, 64, 1, 65, 1, 66, 1, 67, 1, 68, 1, 69, 1, 70, 1, 71, 1, 72, 1, 73, 1, 74, 1, 75, 1, 76, 1, 77, 1, 78, 1, 79, 1, 80, 1, 81, 1, 82, 1, 83, 1, 84, 1, 85, 1, 86, 1, 87, 1, 88, 1, 89, 1, 90, 1, 91, 1, 92, 1, 93, 1, 94, 1, 95, 1, 96, 1, 97, 1, 98, 1, 99, 1, 100, 1, 101, 1, 102, 1, 103, 1, 104, 1, 105, 1, 106, 1, 107, 1, 108, 1, 109, 1, 110, 1, 111, 1, 112, 1, 113, 1, 114, 1, 115, 1, 116, 1, 117, 1, 118, 1, 119, 1, 120, 1, 121, 1, 122, 1, 123, 1, 124, 1, 125, 1, 126, 1, 127, 1, 128, 1, 129, 1, 130, 1, 131, 1, 132, 1, 133, 1, 134, 1, 135, 1, 136, 1, 137, 1, 138, 1, 139, 1, 140, 1, 141, 1, 142, 1, 143, 1, 144, 1, 145, 1, 146, 1, 147, 1, 148, 1, 149, 1, 150, 1, 151, 1, 152, 1, 153, 1, 154, 1, 155, 1, 156, 1, 157, 1, 158, 1, 159, 1, 160, 1, 161, 1, 162, 1, 163, 1, 164, 1, 165, 1, 166, 1, 167, 1, 168, 1, 169, 1, 170, 1, 171, 1, 172, 1, 173, 1, 174, 1, 175, 1, 176, 1, 177, 1, 178, 1, 179, 1, 180, 1, 181, 1, 182, 1, 183, 1, 184, 1, 185, 1, 186, 1, 187, 1, 188, 1, 189, 1, 190, 1, 191, 1, 192, 1, 193, 1, 194, 1, 195, 1, 196, 1, 197, 1, 198, 1, 199, 1, 200, 1, 201, 1, 202, 1, 203, 1, 204, 1, 205, 1, 206, 1, 207, 1, 208, 1, 209, 1, 210, 1, 211, 1, 212, 1, 213, 1, 214, 1, 215, 1, 216, 1, 217, 1, 218, 1, 219, 1, 220, 1, 221, 1, 222, 1, 223, 1, 224, 1, 225, 1, 226, 1, 227, 1, 228, 1, 229, 1, 230, 1, 231, 1, 232, 1, 233, 1, 234, 1, 235, 1, 236, 1, 237, 1, 238, 1, 239, 1, 240, 1, 241, 1, 242, 1, 243, 1, 244, 1, 245, 1, 246, 1, 247, 1, 248, 1, 249, 1, 250, 1, 251, 1, 252, 1, 253, 1, 254, 1, 255, 1, 256, 1, 257, 1, 258, 1, 259, 1, 260, 1, 261, 1, 262, 1, 263, 1, 264, 1, 265, 1, 266, 1, 267, 1, 268, 1, 269, 1, 270, 1, 271, 1, 272, 1, 273, 1, 274, 1, 275, 1, 276, 1, 277, 1, 278, 1, 279, 1, 280, 1, 281, 1, 282, 1, 283, 1, 284, 1, 285, 1, 286, 1, 287, 1, 288, 1, 289, 1, 290, 1, 291, 1, 292, 1, 293, 1, 294, 1, 295, 1, 296, 1, 297, 1, 298, 1, 299, 1, 300, 1, 301, 1, 302, 1, 303, 1, 304, 1, 305, 1, 306, 1, 307, 1, 308, 1, 309, 1, 310, 1, 311, 1, 312, 1, 313, 1, 314, 1, 315, 1, 316, 1, 317, 1, 318, 1, 319, 1, 320, 1, 321, 1, 322, 1, 323, 1, 324, 1, 325, 1, 326, 1, 327, 1, 328, 1, 329, 1, 330, 1, 331, 1, 332, 1, 333, 1, 334, 1, 335, 1, 336, 1, 337, 1, 338, 1, 339, 1, 340, 1, 341, 1, 342, 1, 343, 1, 344, 1, 345, 1, 346, 1, 347, 1, 348, 1, 349, 1, 350, 1, 351, 1, 352, 1, 353, 1, 354, 1, 355, 1, 356, 1, 357, 1, 358, 1, 359, 1, 360, 1, 361, 1, 362, 1, 363, 1, 364, 1, 365, 1, 366, 1, 367, 1, 368, 1, 369, 1, 370, 1, 371, 1, 372, 1, 373, 1, 374, 1, 375, 1, 376, 1, 377, 1, 378, 1, 379, 1, 380, 1, 381, 1, 382, 1, 383, 1, 384, 1, 385, 1, 386, 1, 387, 1, 388, 1, 389, 1, 390, 1, 391, 1, 392, 1, 393, 1, 394, 1, 395, 1, 396, 1, 397, 1, 398, 1, 399, 1, 400, 1, 401, 1, 402, 1, 403, 1, 404, 1, 405, 1, 406, 1, 407, 1, 408, 1, 409, 1, 410, 1, 411, 1, 412, 1, 413, 1, 414, 1, 415, 1, 416, 1, 417, 1, 418, 1, 419, 1, 420, 1, 421, 1, 422, 1, 423, 1, 424, 1, 425, 1, 426, 1, 427, 1, 428, 1, 429, 1, 430, 1, 431, 1, 432, 1, 433, 1, 434, 1, 435, 1, 436, 1, 437, 1, 438, 1, 439, 1, 440, 1, 441, 1, 442, 1, 443, 1, 444, 1, 445, 1, 446, 1, 447, 1, 448, 1, 449, 1, 450, 1, 451, 1, 452, 1, 453, 1, 454, 1, 455, 1, 456, 1, 457, 1, 458, 1, 459, 1, 460, 1, 461, 1, 462, 1, 463, 1, 464, 1, 465, 1, 466, 1, 467, 1, 468, 1, 469, 1, 470, 1, 471, 1, 472, 1, 473, 1, 474, 1, 475, 1, 476, 1, 477, 1, 478, 1, 479, 1, 480, 1, 481, 1, 482, 1, 483, 1, 484, 1, 485, 1, 486, 1, 487, 1, 488, 1, 489, 1, 490, 1, 491, 1, 492, 1, 493, 1, 494, 1, 495, 1, 496, 1, 497, 1, 498, 1, 499, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 2, 12, 2, 13, 2, 14, 2, 15, 2, 16, 2, 17, 2, 18, 2, 19, 2, 20, 2, 21, 2, 22, 2, 23, 2, 24, 2, 25, 2, 26, 2, 27, 2, 28, 2, 29, 2, 30, 2, 31, 2, 32, 2, 33, 2, 34, 2, 35, 2, 36, 2, 37, 2, 38, 2, 39, 2, 40, 2, 41, 2, 42, 2, 43, 2, 44, 2, 45, 2, 46, 2, 47, 2, 48, 2, 49, 2, 50, 2, 51, 2, 52, 2, 53, 2, 54, 2, 55, 2, 56, 2, 57, 2, 58, 2, 59, 2, 60, 2, 61, 2, 62, 2, 63, 2, 64, 2, 65, 2, 66, 2, 67, 2, 68, 2, 69, 2, 70, 2, 71, 2, 72, 2, 73, 2, 74, 2, 75, 2, 76, 2, 77, 2, 78, 2, 79, 2, 80, 2, 81, 2, 82, 2, 83, 2, 84, 2, 85, 2, 86, 2, 87, 2, 88, 2, 89, 2, 90, 2, 91, 2, 92, 2, 93, 2, 94, 2, 95, 2, 96, 2, 97, 2, 98, 2, 99, 2, 100, 2, 101, 2, 102, 2, 103, 2, 104, 2, 105, 2, 106, 2, 107, 2, 108, 2, 109, 2, 110, 2, 111, 2, 112, 2, 113, 2, 114, 2, 115, 2, 116, 2, 117, 2, 118, 2, 119, 2, 120, 2, 121, 2, 122, 2, 123, 2, 124, 2, 125, 2, 126, 2, 127, 2, 128, 2, 129, 2, 130, 2, 131, 2, 132, 2, 133, 2, 134, 2, 135, 2, 136, 2, 137, 2, 138, 2, 139, 2, 140, 2, 141, 2, 142, 2, 143, 2, 144, 2, 145, 2, 146, 2, 147, 2, 148, 2, 149, 2, 150, 2, 151, 2, 152, 2, 153, 2, 154, 2, 155, 2, 156, 2, 157, 2, 158, 2, 159, 2, 160, 2, 161, 2, 162, 2, 163, 2, 164, 2, 165, 2, 166, 2, 167, 2, 168, 2, 169, 2, 170, 2, 171, 2, 172, 2, 173, 2, 174, 2, 175, 2, 176, 2, 177, 2, 178, 2, 179, 2, 180, 2, 181, 2, 182, 2, 183, 2, 184, 2, 185, 2, 186, 2, 187, 2, 188, 2, 189, 2, 190, 2, 191, 2, 192, 2, 193, 2, 194, 2, 195, 2, 196, 2, 197, 2, 198, 2, 199, 2, 200, 2, 201, 2, 202, 2, 203, 2, 204, 2, 205, 2, 206, 2, 207, 2, 208, 2, 209, 2, 210, 2, 211, 2, 212, 2, 213, 2, 214, 2, 215, 2, 216, 2, 217, 2, 218, 2, 219, 2, 220, 2, 221, 2, 222, 2, 223, 2, 224, 2, 225, 2, 226, 2, 227, 2, 228, 2, 229, 2, 230, 2, 231, 2, 232, 2, 233, 2, 234, 2, 235, 2, 236, 2, 237, 2, 238, 2, 239, 2, 240, 2, 241, 2, 242, 2, 243, 2, 244, 2, 245, 2, 246, 2, 247, 2, 248, 2, 249, 2, 250, 2, 251, 2, 252, 2, 253, 2, 254, 2, 255 }
{102,70,16,69,13,84,37,75,98,79,31,36,97,25,92,28,90,100,89,60,32,27,20,6,29,91,55,73,63,53,48,96,49,4,15,81,77,95,67,43,24,17,39,40,78,56,38,54,71,30,5,88,35,68,18,14,65,0,51,57,7,50,85,101,1,103,64,22,86,83,106,41,12,94,61,105,47,10,72,93,104,80,2,62,34,46,42,11,82,76,33,99,87,74,52,23,45,59,3,21,8,26,66,58,9,19,44}

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

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

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

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

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

Returns: {-1 }
{39,271,357,104,174,145,428,249,387,76,158,221,259,31,195,64,336,49,380,50,324,347,225,10,71,388,148,122,0,277,370,312,406,18,359,210,142,136,98,364,234,243,43,409,66,116,86,207,180,379,310,150,58,20,160,418,87,315,13,222,123,199,78,353,228,161,248,397,291,189,117,57,198,260,284,343,285,368,153,314,157,421,224,17,230,69,419,40,4,62,396,339,337,227,384,301,7,6,298,231,309,299,252,154,373,61,326,169,220,144,113,332,33,178,304,186,233,151,372,268,155,313,325,376,363,280,97,323,367,278,308,245,283,216,287,238,214,303,106,103,42,101,425,340,105,403,226,34,45,401,307,85,204,302,311,27,5,269,356,181,329,156,191,407,54,330,261,360,383,319,132,232,335,128,235,68,131,288,83,170,56,25,208,358,44,334,392,38,115,391,258,255,246,165,124,52,121,365,46,241,267,51,430,408,120,9,32,297,192,203,394,265,12,82,118,346,369,274,37,432,316,126,202,84,2,374,16,80,420,350,179,139,413,1,99,281,306,200,197,176,147,386,184,293,290,138,14,206,256,196,429,79,193,217,426,219,88,276,48,320,187,55,275,47,244,172,272,11,109,185,107,188,404,53,254,341,399,253,263,398,60,390,92,81,90,416,327,15,381,422,67,75,175,162,171,240,70,21,8,412,286,190,114,355,385,59,173,65,279,377,405,305,257,93,211,242,321,375,354,435,63,342,91,289,395,100,94,3,110,140,223,318,146,322,194,345,433,414,22,36,296,41,410,119,292,137,96,351,266,361,23,423,149,164,427,133,218,134,264,125,352,201,349,177,167,236,26,141,366,28,317,29,212,205,237,108,273,393,213,434,102,127,159,362,215,348,19,424,417,74,112,247,72,400,111,168,166,294,24,328,344,270,143,30,135,152,382,389,300,333,163,239,183,338,262,402,182,229,209,251,331,431,371,250,95,35,282,378,73,129,415,89,130,411,295,77}

{164,302,199,110,266,243,378,381,211,297,149,410,230,86,119,357,38,324,339,281,272,419,100,398,267,283,318,317,322,3,333,124,4,241,22,79,30,320,7,286,212,75,306,120,14,94,345,376,41,271,354,226,307,169,80,181,340,225,384,21,382,93,78,291,425,257,434,205,309,185,89,102,367,155,220,328,116,229,372,37,288,365,54,85,374,1,418,134,280,348,91,47,195,103,112,234,335,248,68,246,180,160,245,310,263,329,222,428,249,108,33,16,353,56,342,53,289,114,402,35,152,132,74,193,140,197,77,194,420,104,188,389,172,170,265,209,44,210,182,395,25,377,163,118,397,344,141,2,82,414,321,313,355,219,105,252,61,15,233,207,66,27,296,412,430,295,92,62,394,46,156,351,31,255,330,264,150,349,406,391,117,95,98,278,58,346,338,312,413,239,49,369,122,364,238,123,63,71,29,126,19,432,258,260,137,186,167,424,325,370,129,287,158,147,20,127,162,415,407,83,183,144,383,399,231,356,426,52,184,171,327,331,18,298,128,55,314,204,13,64,275,26,69,153,40,165,435,179,81,76,176,189,73,429,254,304,198,388,67,375,45,315,358,17,390,221,99,235,294,42,115,10,405,326,57,90,173,269,279,213,290,201,12,311,142,24,343,352,371,192,130,303,417,363,323,51,138,341,334,242,408,133,250,366,285,43,253,416,6,178,70,8,157,101,216,299,190,262,433,72,9,34,240,316,237,273,362,392,88,409,268,308,282,284,175,28,96,227,393,431,202,215,136,274,113,251,121,387,161,206,208,259,380,50,5,200,159,293,217,166,270,191,148,337,23,361,379,60,359,368,131,224,300,411,301,427,151,319,109,196,65,59,48,347,232,87,218,177,276,84,39,261,277,401,422,256,336,421,11,146,332,350,360,107,97,143,154,396,203,111,228,244,145,174,403,236,32,247,106,0,404,305,223,385,214,386,139,36,423,292,187,373,135,400,125,168}

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

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

Returns: {-1 }
{312,106,12,314,343,59,307,127,47,139,21,83,86,324,198,204,321,65,230,64,102,60,96,53,241,163,308,202,158,300,346,146,218,305,4,169,40,322,85,129,37,98,72,326,42,41,311,332,132,20,286,288,84,61,275,95,121,18,350,292,208,153,247,257,94,71,244,5,130,264,352,22,24,151,239,263,213,28,99,301,214,280,219,194,74,124,217,120,171,104,220,267,316,70,144,6,355,168,325,2,240,68,258,331,46,182,119,298,134,249,51,1,174,253,309,317,8,283,115,315,342,19,184,150,328,203,136,58,13,319,291,353,118,345,320,341,88,0,274,50,229,93,78,167,80,248,66,276,23,323,157,261,268,256,236,11,149,15,117,101,55,287,135,270,125,190,110,31,67,142,107,347,356,179,297,330,92,140,209,10,177,273,162,277,26,141,222,183,108,54,100,16,133,173,17,45,77,207,161,339,109,155,36,122,252,299,75,27,284,143,310,152,147,210,43,196,195,38,79,306,293,52,349,272,269,63,282,165,348,48,62,313,294,228,30,111,201,329,246,91,175,211,225,192,131,295,338,231,245,234,351,303,49,159,260,137,34,145,333,87,259,56,44,242,148,178,114,302,200,238,82,281,251,235,97,103,186,285,3,266,181,265,7,279,81,237,57,172,334,254,205,176,296,25,126,154,138,116,112,318,197,357,226,189,89,255,113,290,223,160,191,304,216,224,180,123,33,14,32,233,289,212,187,73,206,227,69,271,188,39,336,221,215,335,35,128,166,199,156,250,193,337,327,344,243,9,105,340,90,164,170,278,185,232,76,354,29,262}

{208,42,245,255,317,353,191,122,326,106,230,307,300,44,61,177,279,347,37,83,192,176,188,43,82,296,332,357,240,238,62,214,227,151,331,125,212,222,350,340,148,186,244,134,306,267,118,354,55,237,303,101,86,333,344,261,313,257,308,349,246,199,138,153,337,89,158,322,223,329,334,205,47,249,179,234,113,59,126,46,131,136,0,256,11,165,278,74,258,78,140,91,4,147,14,266,339,316,233,203,100,264,253,225,196,282,30,166,105,321,119,298,235,10,109,164,352,104,65,36,50,8,67,324,241,135,133,69,124,15,21,145,38,239,22,120,288,51,299,99,53,260,39,115,263,315,173,294,190,79,1,24,328,12,286,171,229,287,64,25,123,88,217,228,251,60,154,57,116,81,318,121,56,302,66,341,178,202,254,139,5,345,185,58,189,184,216,198,293,80,141,252,111,209,280,174,194,285,146,70,218,73,7,343,144,90,34,127,40,290,348,77,250,172,41,161,180,309,16,142,2,94,29,68,269,48,17,76,193,219,108,323,23,128,137,132,301,201,114,182,262,351,338,72,160,163,284,342,281,150,292,54,35,297,336,232,231,162,211,32,247,19,220,319,52,236,85,270,272,87,276,224,183,314,31,175,102,167,107,210,33,268,215,97,28,248,20,242,330,207,289,159,149,259,98,274,206,9,195,320,110,92,155,283,75,26,152,129,96,355,84,197,291,13,143,271,27,3,335,226,18,200,356,346,311,130,6,95,275,168,45,312,305,273,169,117,112,295,327,243,71,93,310,265,181,49,170,325,103,304,204,277,221,187,156,157,63,213}

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

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

Returns: {-1 }
{471,304,58,23,72,164,44,378,303,59,457,350,374,449,71,382,184,273,246,147,443,478,69,16,132,344,193,381,245,87,488,341,318,281,92,291,190,485,435,183,168,293,333,337,308,325,253,499,269,156,28,185,163,224,86,326,292,329,121,4,365,47,110,150,397,474,243,394,465,348,416,235,414,461,311,261,483,64,324,436,109,94,151,301,479,128,495,227,57,133,140,84,135,334,78,420,387,11,146,257,213,290,283,395,486,75,425,98,362,236,221,148,180,134,127,70,105,470,117,399,65,240,231,20,305,279,454,194,97,409,226,286,149,34,330,251,441,430,272,280,391,472,299,265,309,423,206,314,434,229,357,60,122,102,17,432,201,10,101,52,347,496,95,196,39,143,169,440,403,43,356,317,171,302,192,418,204,306,205,174,15,91,21,466,462,145,453,332,264,266,370,177,212,22,2,14,61,335,208,142,115,363,364,126,469,202,217,252,450,413,298,313,248,162,300,404,50,468,407,377,267,444,111,375,141,187,487,417,186,366,448,123,49,228,275,152,56,106,103,113,38,85,114,428,37,6,154,74,458,351,445,327,411,289,456,181,393,211,234,195,76,29,155,130,276,460,73,89,254,1,482,24,349,27,166,490,328,107,104,492,118,25,355,389,274,19,203,55,222,398,412,256,161,207,36,321,455,237,346,451,247,392,112,125,131,452,12,340,182,255,32,219,310,46,480,422,315,386,79,137,30,336,170,242,408,40,116,77,54,294,380,67,331,401,232,438,191,475,415,80,258,5,442,81,66,282,268,26,476,367,426,297,376,345,307,372,388,173,62,215,361,498,431,214,165,343,216,198,223,8,358,277,371,250,99,433,295,284,31,18,41,179,359,176,33,270,13,42,419,244,35,379,93,139,493,124,178,384,129,218,427,263,0,446,199,159,230,175,260,464,197,259,481,339,90,63,320,262,477,405,360,352,160,144,220,447,48,209,3,7,473,200,369,484,437,319,278,172,424,390,296,368,316,323,83,188,82,494,45,153,383,342,100,249,189,238,138,421,402,439,96,373,233,158,287,429,157,354,239,400,353,312,288,241,338,385,322,396,108,463,167,136,88,489,53,225,210,120,491,9,459,285,68,497,51,271,410,119,467,406}

{296,325,181,236,7,481,81,43,496,10,68,421,310,186,193,298,239,276,466,117,168,370,178,352,187,83,165,306,333,493,474,440,478,362,255,294,431,338,3,402,18,377,312,301,23,110,252,428,219,230,22,332,282,264,341,279,358,414,404,495,54,20,365,202,192,244,409,309,379,90,206,149,29,392,448,343,103,275,25,225,64,313,79,380,490,116,78,302,461,311,439,47,305,492,132,144,53,41,82,317,262,199,406,464,251,289,15,16,231,281,319,405,112,127,316,307,390,242,142,396,203,162,179,337,14,395,263,453,36,180,446,129,445,340,134,33,415,211,164,119,39,367,38,160,220,259,248,48,408,235,465,210,80,394,482,378,345,196,438,46,323,100,240,121,133,486,217,0,97,372,444,331,152,95,63,299,137,304,1,350,189,194,163,383,57,449,369,92,284,266,13,86,288,24,143,273,447,335,12,224,364,384,272,131,437,74,472,31,258,148,426,247,209,267,62,386,93,357,475,450,479,268,190,232,471,278,205,176,327,241,427,77,385,393,4,99,497,499,157,443,407,353,432,245,291,368,388,214,223,336,145,300,76,489,451,459,400,104,87,246,73,128,334,425,158,249,250,221,126,265,387,297,182,96,452,26,411,322,173,484,295,318,125,412,274,89,45,146,469,169,161,108,360,204,27,401,467,69,102,433,416,320,101,456,207,238,287,84,44,166,215,51,286,477,355,8,200,171,72,151,222,34,61,175,260,153,139,403,344,172,212,11,303,473,423,328,253,436,339,58,371,140,330,359,122,120,290,37,351,363,156,124,21,130,429,229,55,270,271,324,228,201,430,28,170,315,147,67,177,375,454,191,52,398,71,109,285,399,243,234,50,254,487,389,342,114,283,361,118,216,56,261,141,65,98,66,208,346,434,422,42,498,91,460,491,70,314,32,381,457,49,233,17,391,280,349,2,462,366,485,257,480,197,277,420,30,19,218,138,424,174,347,5,269,183,150,198,213,9,107,154,494,155,111,410,6,293,35,463,476,40,488,115,458,94,441,75,413,455,418,348,373,442,59,106,470,167,136,292,123,374,159,321,468,227,188,256,397,105,135,88,435,356,382,184,326,376,308,419,483,85,60,329,113,195,185,354,237,417,226}

Returns: {-1 }
{32,53,442,119,125,489,221,272,1,369,41,245,319,321,51,97,229,336,491,453,353,117,358,292,74,443,269,379,286,101,444,355,135,457,185,176,357,265,464,3,348,27,49,256,189,219,240,469,26,406,57,418,82,162,440,417,67,446,90,71,403,285,424,160,293,268,297,131,310,18,143,393,267,420,94,40,475,150,402,448,190,499,381,284,385,68,362,203,182,75,25,215,38,279,349,289,411,333,462,198,262,146,252,407,481,83,363,365,389,14,2,208,324,397,401,433,46,211,128,161,322,482,247,129,88,304,299,179,484,328,227,33,228,154,435,45,271,340,367,206,434,77,291,225,388,31,280,196,10,329,199,337,222,12,8,478,302,210,134,313,0,415,212,347,288,335,305,139,214,173,112,259,486,427,22,217,180,476,295,236,36,473,79,207,239,108,35,61,84,85,17,153,171,59,132,266,223,359,127,142,356,410,16,466,69,191,168,296,9,400,224,226,315,80,178,54,37,72,341,487,21,270,63,498,91,445,312,183,354,436,65,376,458,34,248,301,48,263,4,382,452,260,204,96,152,60,344,298,351,438,5,121,184,413,58,332,364,468,86,220,47,490,187,156,188,100,231,235,278,163,422,386,307,164,361,378,138,384,216,375,175,159,497,290,52,342,449,44,11,130,391,430,95,330,326,42,493,202,425,113,15,398,419,395,492,244,377,149,450,172,421,81,479,339,426,283,19,429,237,394,346,300,273,414,114,193,309,109,201,39,423,107,103,281,20,124,89,318,390,30,232,250,470,316,28,387,327,136,343,123,6,118,111,412,392,320,242,43,455,92,350,137,416,93,167,155,144,115,243,454,133,145,56,55,209,485,404,177,432,205,234,192,249,483,23,370,158,368,488,467,460,64,439,241,78,471,99,246,360,186,151,141,165,496,148,106,371,218,87,287,306,374,461,102,317,480,166,274,459,157,303,24,261,345,431,73,76,257,334,441,140,373,7,200,314,428,282,366,447,380,66,147,463,122,238,116,311,494,277,308,472,338,456,399,264,230,104,396,294,372,474,197,495,253,13,276,254,451,408,383,331,169,477,233,29,323,213,98,437,255,409,194,325,275,405,105,126,251,120,50,70,62,352,181,465,195,110,170,174,258}

{117,204,277,212,78,202,453,201,394,380,320,443,248,125,495,279,358,226,273,285,352,263,209,234,485,391,8,482,365,109,224,116,492,330,16,64,112,405,84,451,493,67,87,61,190,268,13,37,170,455,124,184,62,468,52,180,360,147,245,319,281,167,25,479,361,155,293,100,290,143,217,331,438,339,99,328,432,287,427,83,426,467,45,410,300,68,42,35,377,120,133,72,216,311,12,334,198,145,286,403,196,266,41,312,440,136,362,446,497,399,262,324,97,63,413,369,93,80,9,114,22,454,302,404,456,430,348,442,499,283,310,417,379,359,336,271,363,237,484,6,74,296,349,14,106,298,102,162,181,182,3,292,414,305,18,436,135,462,107,402,159,95,364,428,488,411,152,276,255,227,163,449,344,280,299,385,11,474,69,220,304,144,429,295,38,27,422,60,54,297,294,457,118,390,90,28,376,439,40,423,73,289,375,228,85,325,433,30,221,261,31,48,218,392,341,130,498,92,275,445,461,314,340,230,186,71,382,269,448,0,473,416,487,32,189,343,465,157,374,459,229,322,301,123,132,329,158,174,231,21,244,191,354,378,127,82,408,219,34,56,282,131,187,249,121,77,278,166,409,165,151,101,10,139,367,164,491,241,5,489,26,486,368,19,149,119,388,203,425,113,175,256,447,406,70,386,59,20,243,397,472,168,480,81,381,129,420,315,96,371,58,238,178,259,258,307,350,239,211,254,150,306,496,206,172,401,200,400,179,337,2,17,470,353,193,317,419,213,398,366,274,126,389,464,154,225,345,372,137,7,122,450,39,160,481,51,242,407,222,435,458,140,415,98,183,264,332,188,153,356,57,247,478,232,88,210,185,418,316,250,214,86,24,55,351,265,91,313,326,142,338,65,437,111,412,49,321,246,46,236,233,490,347,169,373,483,272,253,444,75,110,76,469,146,1,270,66,156,303,252,195,134,240,260,383,318,89,53,463,4,208,396,176,477,475,342,192,148,452,291,346,115,257,94,335,441,23,44,47,105,431,43,267,424,141,128,161,395,215,370,494,235,138,33,207,421,387,357,50,323,108,223,171,79,36,199,333,29,173,205,15,309,197,384,288,194,327,355,177,466,471,251,460,476,434,308,103,393,284,104}

Returns: {-1 }
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Returns: {0, 3, 0, 5, 0, 9, 0, 15, 0, 25, 0, 37, 0, 46, 0, 49, 0, 52, 0, 59, 0, 121, 0, 238, 1, 2, 1, 3, 1, 5, 1, 7, 1, 9, 1, 15, 1, 25, 1, 37, 1, 46, 1, 49, 1, 52, 1, 59, 1, 62, 1, 79, 1, 439, 1, 512, 2, 3, 2, 5, 2, 7, 2, 9, 2, 15, 2, 18, 2, 23, 2, 31, 2, 236, 2, 242, 2, 308, 2, 375, 2, 866, 2, 1589, 2, 1741, 3, 5, 3, 6, 3, 7, 3, 9, 3, 15, 3, 18, 3, 23, 3, 26, 3, 31, 3, 75, 3, 84, 3, 172, 3, 236, 3, 242, 3, 308, 3, 375, 3, 478, 3, 817, 3, 1290, 3, 1358, 5, 6, 5, 7, 5, 9, 5, 14, 5, 15, 5, 17, 5, 18, 5, 23, 5, 25, 5, 26, 5, 31, 5, 38, 5, 53, 5, 218, 5, 256, 5, 344, 5, 404, 5, 582, 5, 676, 6, 7, 6, 9, 6, 14, 6, 15, 6, 17, 6, 18, 6, 23, 6, 25, 6, 26, 6, 37, 6, 46, 6, 49, 6, 52, 6, 59, 6, 62, 6, 171, 6, 261, 6, 652, 7, 9, 7, 14, 7, 15, 7, 17, 7, 18, 7, 21, 7, 23, 7, 25, 7, 26, 7, 31, 7, 32, 7, 38, 7, 44, 7, 50, 7, 55, 7, 66, 7, 73, 7, 75, 7, 76, 7, 153, 7, 194, 7, 297, 7, 506, 7, 755, 7, 1214, 8, 9, 8, 10, 8, 11, 8, 14, 8, 15, 8, 17, 8, 18, 8, 21, 8, 23, 8, 24, 8, 25, 8, 117, 8, 165, 8, 212, 9, 10, 9, 11, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 20, 9, 21, 9, 22, 9, 23, 9, 24, 9, 25, 9, 26, 9, 31, 9, 32, 9, 38, 9, 44, 9, 50, 9, 53, 9, 55, 9, 66, 9, 73, 9, 75, 9, 76, 9, 84, 9, 137, 9, 172, 9, 236, 9, 242, 9, 1209, 9, 1639, 9, 2419, 10, 11, 10, 14, 10, 15, 10, 16, 10, 17, 10, 18, 10, 20, 10, 21, 10, 22, 10, 23, 10, 24, 10, 25, 10, 26, 10, 31, 10, 32, 10, 37, 10, 38, 10, 44, 10, 50, 10, 53, 10, 55, 10, 66, 10, 73, 10, 75, 10, 76, 10, 84, 10, 239, 10, 475, 10, 668, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 20, 11, 21, 11, 22, 11, 23, 11, 24, 11, 25, 11, 26, 11, 31, 11, 32, 11, 33, 11, 37, 11, 38, 11, 46, 11, 49, 11, 52, 11, 59, 11, 62, 11, 97, 11, 171, 11, 179, 11, 262, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 20, 12, 21, 12, 22, 12, 23, 12, 24, 12, 25, 12, 26, 12, 31, 12, 32, 12, 33, 12, 37, 12, 38, 12, 44, 12, 50, 12, 53, 12, 55, 12, 66, 12, 68, 12, 73, 12, 75, 12, 76, 12, 84, 12, 101, 12, 116, 12, 143, 12, 149, 12, 473, 12, 1192, 12, 1721, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 20, 13, 21, 13, 22, 13, 23, 13, 24, 13, 25, 13, 26, 13, 28, 13, 31, 13, 32, 13, 33, 13, 37, 13, 38, 13, 44, 13, 46, 13, 47, 13, 50, 13, 53, 13, 55, 13, 66, 13, 68, 13, 73, 13, 75, 13, 76, 13, 78, 13, 84, 13, 101, 13, 116, 13, 137, 13, 172, 13, 236, 13, 658, 13, 1258, 13, 1337, 13, 1587, 14, 15, 14, 16, 14, 17, 14, 18, 14, 20, 14, 21, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 28, 14, 31, 14, 32, 14, 33, 14, 37, 14, 38, 14, 44, 14, 46, 14, 47, 14, 94, 14, 827, 15, 16, 15, 17, 15, 18, 15, 20, 15, 21, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 28, 15, 31, 15, 32, 15, 33, 15, 36, 15, 37, 15, 38, 15, 44, 15, 46, 15, 47, 15, 49, 15, 50, 15, 53, 15, 55, 15, 66, 15, 68, 15, 73, 15, 75, 15, 76, 15, 78, 15, 84, 15, 88, 15, 101, 15, 116, 15, 137, 15, 143, 15, 149, 15, 172, 15, 226, 15, 498, 15, 546, 15, 576, 16, 17, 16, 18, 16, 20, 16, 21, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 28, 16, 31, 16, 32, 16, 33, 16, 34, 16, 36, 16, 37, 16, 38, 16, 44, 16, 103, 16, 162, 16, 837, 17, 18, 17, 20, 17, 21, 17, 22, 17, 23, 17, 24, 17, 25, 17, 26, 17, 28, 17, 31, 17, 32, 17, 33, 17, 34, 17, 36, 17, 37, 17, 38, 17, 44, 17, 46, 17, 47, 17, 49, 17, 50, 17, 52, 17, 53, 17, 55, 17, 66, 17, 68, 17, 73, 17, 75, 17, 76, 17, 78, 17, 84, 17, 88, 17, 101, 17, 114, 17, 116, 17, 137, 17, 143, 17, 149, 17, 153, 17, 172, 17, 226, 17, 236, 17, 242, 17, 308, 17, 375, 17, 478, 17, 985, 17, 1003, 17, 2275, 17, 2299, 18, 20, 18, 21, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 28, 18, 31, 18, 32, 18, 33, 18, 34, 18, 36, 18, 37, 18, 38, 18, 44, 18, 46, 18, 47, 18, 49, 18, 50, 18, 52, 18, 53, 18, 55, 18, 66, 18, 68, 18, 73, 18, 75, 18, 76, 18, 78, 18, 84, 18, 88, 18, 101, 18, 110, 18, 114, 18, 116, 18, 137, 18, 143, 18, 149, 18, 153, 18, 172, 18, 194, 18, 226, 18, 653, 18, 664, 18, 713, 18, 760, 18, 1078, 18, 2425, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 28, 19, 29, 19, 31, 19, 32, 19, 33, 19, 34, 19, 36, 19, 37, 19, 38, 19, 44, 19, 46, 19, 47, 19, 49, 19, 50, 19, 52, 19, 53, 19, 55, 19, 59, 19, 62, 19, 66, 19, 68, 19, 73, 19, 75, 19, 76, 19, 78, 19, 84, 19, 88, 19, 101, 19, 110, 19, 114, 19, 116, 19, 137, 19, 143, 19, 149, 19, 279, 19, 993, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 28, 20, 29, 20, 31, 20, 32, 20, 33, 20, 34, 20, 36, 20, 37, 20, 38, 20, 44, 20, 46, 20, 47, 20, 49, 20, 50, 20, 52, 20, 53, 20, 55, 20, 59, 20, 62, 20, 66, 20, 68, 20, 73, 20, 75, 20, 76, 20, 78, 20, 84, 20, 88, 20, 90, 20, 101, 20, 110, 20, 111, 20, 114, 20, 116, 20, 137, 20, 143, 20, 149, 20, 153, 20, 172, 20, 187, 20, 194, 20, 226, 20, 297, 20, 307, 20, 426, 20, 651, 20, 923, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 28, 21, 29, 21, 31, 21, 32, 21, 33, 21, 34, 21, 36, 21, 37, 21, 38, 21, 44, 21, 46, 21, 47, 21, 49, 21, 50, 21, 52, 21, 53, 21, 55, 21, 59, 21, 62, 21, 66, 21, 68, 21, 73, 21, 75, 21, 76, 21, 78, 21, 84, 21, 88, 21, 90, 21, 101, 21, 109, 21, 110, 21, 111, 21, 114, 21, 169, 21, 739, 22, 23, 22, 24, 22, 25, 22, 26, 22, 28, 22, 29, 22, 31, 22, 32, 22, 33, 22, 34, 22, 36, 22, 37, 22, 38, 22, 44, 22, 46, 22, 47, 22, 49, 22, 50, 22, 52, 22, 53, 22, 55, 22, 59, 22, 62, 22, 66, 22, 68, 22, 73, 22, 75, 22, 76, 22, 78, 22, 84, 22, 88, 22, 90, 22, 101, 22, 109, 22, 110, 22, 111, 22, 114, 22, 116, 22, 131, 22, 137, 22, 143, 22, 149, 22, 153, 22, 160, 22, 172, 22, 187, 22, 194, 22, 239, 22, 245, 22, 496, 22, 643, 22, 956, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 31, 23, 32, 23, 33, 23, 34, 23, 36, 23, 37, 23, 38, 23, 41, 23, 44, 23, 46, 23, 47, 23, 49, 23, 50, 23, 52, 23, 53, 23, 55, 23, 59, 23, 62, 23, 66, 23, 68, 23, 73, 23, 75, 23, 76, 23, 78, 23, 84, 23, 88, 23, 90, 23, 101, 23, 109, 23, 110, 23, 111, 23, 114, 23, 116, 23, 131, 23, 137, 23, 143, 23, 149, 23, 153, 23, 160, 23, 172, 23, 187, 23, 188, 23, 194, 23, 214, 23, 226, 23, 297, 23, 307, 23, 366, 23, 391, 23, 462, 23, 806, 23, 952, 23, 1775, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 31, 24, 32, 24, 33, 24, 34, 24, 36, 24, 37, 24, 38, 24, 41, 24, 43, 24, 44, 24, 46, 24, 47, 24, 49, 24, 50, 24, 52, 24, 53, 24, 55, 24, 58, 24, 59, 24, 62, 24, 66, 24, 68, 24, 73, 24, 74, 24, 75, 24, 76, 24, 78, 24, 84, 24, 88, 24, 90, 24, 101, 24, 106, 24, 109, 24, 110, 24, 111, 24, 114, 24, 116, 24, 131, 24, 137, 24, 143, 24, 149, 24, 153, 24, 160, 24, 172, 24, 187, 24, 188, 24, 194, 24, 214, 24, 226, 24, 236, 24, 498, 24, 546, 24, 576, 24, 882, 24, 1052, 24, 1873, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 32, 25, 33, 25, 34, 25, 36, 25, 37, 25, 38, 25, 41, 25, 43, 25, 44, 25, 46, 25, 47, 25, 49, 25, 50, 25, 52, 25, 53, 25, 55, 25, 58, 25, 59, 25, 62, 25, 66, 25, 68, 25, 73, 25, 74, 25, 75, 25, 76, 25, 78, 25, 79, 25, 84, 25, 88, 25, 90, 25, 101, 25, 106, 25, 109, 25, 110, 25, 111, 25, 114, 25, 116, 25, 131, 25, 137, 25, 143, 25, 149, 25, 153, 25, 160, 25, 172, 25, 177, 25, 187, 25, 188, 25, 194, 25, 214, 25, 226, 25, 236, 25, 259, 25, 498, 25, 546, 25, 576, 25, 696, 25, 721, 25, 1247, 25, 1511, 25, 2067, 26, 27, 26, 28, 26, 29, 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33, 28, 34, 28, 36, 28, 37, 28, 38, 28, 41, 28, 43, 28, 44, 28, 46, 28, 47, 28, 49, 28, 50, 28, 52, 28, 53, 28, 55, 28, 58, 28, 59, 28, 62, 28, 64, 28, 66, 28, 68, 28, 69, 28, 70, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 41, 29, 43, 29, 44, 29, 46, 29, 47, 29, 49, 29, 50, 29, 52, 29, 53, 29, 55, 29, 58, 29, 59, 29, 62, 29, 64, 29, 66, 29, 68, 29, 69, 29, 70, 29, 72, 29, 73, 29, 74, 29, 75, 29, 76, 29, 78, 29, 79, 29, 84, 29, 86, 29, 88, 29, 90, 29, 101, 29, 106, 29, 109, 29, 110, 29, 111, 29, 114, 29, 116, 29, 131, 29, 137, 29, 143, 29, 149, 29, 153, 29, 160, 29, 172, 29, 177, 29, 187, 29, 188, 29, 194, 29, 214, 29, 226, 29, 236, 29, 239, 29, 242, 29, 245, 29, 247, 29, 308, 29, 316, 29, 318, 29, 360, 29, 375, 29, 394, 29, 429, 29, 478, 29, 767, 29, 866, 29, 1074, 29, 1411, 29, 1978, 29, 2053, 29, 2132, 29, 2251, 29, 2395, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 40, 30, 41, 30, 43, 30, 44, 30, 46, 30, 47, 30, 49, 30, 50, 30, 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Returns: {-1 }
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Returns: {-1 }
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4,1438,351,1373,1680,569,1882,1736,2013,1958,561,1081,1232,689,1389,116,740,1230,471,1302,1589,2227,2178,1801,1317,550,246,929,1307,2069,678,1004,1069,1604,2259,357,21,2129,395,1854,1587,925,165,1059,862,637,2099,2200,632,1332,2031,997,841,2339,1779,466,1219,692,87,1695,164,2292,2386,1673,1045,2177,434,1199,515,1735,1134,1148,1289,258,2455,292,1586,2136,951,7,33,1732,281,1455,1754,614,1254,682,291,655,1436,1543,597,828,1159,1544,1791,1847,1153,733,702,1314,2028,2114,322,415,196,1413,1451,869,2053,813,94,748,658,1769,1835,1351,933,470,964,1226,1198,1953,1112,619,2322,2418,712,1916,977,1383,25,1928,85,1139,436,1857,1136,1274,2187,2027,480,179,1396,1003,914,598,150,1521,2452,462,1960,2262,1323,2048,2038,2306,167,2165,1642,578,2228,146,1406,1937,198,1550,2270,552,2132,437,2370,1248,2335,2476,143,64,2275,1065,474,730,1169,1594,1656,309,1999,2442,1627,2,945,1211,132,1531,157,1527,1129,186,2242,1278,788,226,1462,359,514,306,833,1507,1803,1124,102,586,607,1591,1883,1397,1320,1971,385,1843,660,1365,2173,2226,2192,2188,1798,2375,1409,1784,2430,2413,1395,1194,1522,1479,594,1832,387,2360,2179,1001,814,2062,305,820,403,1407,375,1778,2359,1231,603,2181,2384,2183,1917,1386,303,2313,1682,2334,290,669,1449,2093,2328,1017,1990,743,2298,1337,243,1300,362,844,907,27,1556,245,754,638,1076,739,601,1559,1768,1706,1685,1985,1720,832,1361,169,296,2394,113,653,2428,1291,1574,2103,608,2026,1310}

Returns: {0, 17, 0, 39, 0, 68, 0, 93, 0, 145, 7, 8, 7, 28, 7, 64, 7, 77, 7, 119, 7, 974, 8, 9, 8, 14, 8, 23, 8, 26, 8, 28, 9, 10, 9, 14, 10, 14, 12, 14, 12, 79, 12, 83, 12, 120, 12, 314, 12, 363, 12, 598, 14, 17, 14, 18, 14, 21, 14, 23, 17, 18, 17, 39, 18, 19, 18, 21, 19, 21, 21, 23, 23, 24, 23, 25, 23, 26, 24, 25, 25, 26, 26, 28, 28, 29, 28, 30, 28, 32, 28, 47, 28, 64, 29, 30, 30, 31, 30, 32, 31, 32, 31, 33, 31, 34, 31, 36, 31, 37, 31, 56, 31, 66, 31, 78, 31, 80, 31, 105, 31, 250, 31, 323, 32, 33, 32, 34, 32, 35, 32, 47, 33, 34, 33, 35, 34, 35, 34, 36, 35, 36, 35, 37, 35, 56, 35, 66, 35, 78, 35, 80, 35, 105, 35, 241, 35, 250, 35, 323, 35, 408, 35, 682, 36, 37, 36, 39, 36, 40, 36, 56, 37, 39, 37, 40, 37, 42, 37, 44, 37, 47, 37, 48, 37, 49, 37, 56, 37, 66, 39, 40, 39, 42, 39, 46, 39, 65, 39, 68, 40, 42, 40, 44, 40, 47, 40, 48, 40, 49, 40, 51, 40, 55, 40, 56, 40, 64, 40, 66, 42, 44, 42, 45, 42, 46, 42, 47, 43, 44, 43, 45, 43, 46, 43, 47, 43, 48, 43, 49, 43, 51, 43, 55, 43, 56, 43, 57, 43, 64, 43, 140, 43, 645, 43, 1380, 43, 1688, 44, 45, 44, 46, 44, 47, 44, 48, 44, 49, 45, 46, 45, 47, 45, 48, 46, 47, 46, 48, 46, 49, 46, 51, 46, 55, 46, 56, 46, 57, 46, 61, 46, 64, 46, 66, 46, 77, 46, 78, 46, 80, 46, 105, 46, 111, 46, 116, 46, 309, 46, 322, 47, 48, 47, 49, 47, 51, 47, 52, 47, 54, 47, 55, 47, 56, 47, 57, 47, 61, 47, 64, 47, 66, 47, 70, 47, 77, 48, 49, 48, 51, 48, 52, 48, 53, 48, 54, 48, 55, 48, 56, 48, 57, 49, 50, 49, 51, 49, 52, 49, 53, 49, 54, 49, 55, 49, 56, 49, 57, 49, 59, 49, 61, 49, 64, 49, 66, 49, 70, 49, 77, 49, 140, 50, 51, 51, 52, 51, 53, 51, 54, 51, 55, 51, 56, 51, 57, 51, 59, 51, 61, 51, 62, 51, 64, 52, 53, 52, 54, 52, 55, 52, 56, 52, 57, 53, 54, 53, 55, 53, 56, 53, 57, 54, 55, 54, 56, 54, 57, 54, 58, 54, 59, 55, 56, 55, 57, 55, 58, 55, 59, 55, 60, 55, 61, 55, 62, 55, 64, 55, 66, 56, 57, 56, 58, 56, 59, 56, 60, 56, 61, 56, 62, 56, 64, 56, 66, 56, 70, 56, 77, 56, 78, 56, 80, 57, 58, 57, 59, 57, 60, 57, 61, 57, 62, 57, 64, 57, 66, 57, 70, 57, 77, 57, 78, 58, 59, 58, 60, 58, 61, 58, 62, 59, 60, 59, 61, 59, 62, 59, 64, 59, 66, 59, 67, 59, 70, 60, 61, 60, 62, 60, 64, 60, 65, 60, 66, 61, 62, 61, 64, 61, 65, 61, 66, 61, 67, 61, 70, 61, 77, 61, 78, 62, 64, 62, 65, 62, 66, 62, 67, 62, 68, 62, 70, 62, 77, 62, 78, 64, 65, 64, 66, 64, 67, 64, 68, 64, 70, 64, 71, 64, 75, 64, 77, 64, 78, 64, 80, 65, 66, 65, 67, 65, 68, 65, 70, 65, 71, 65, 72, 65, 73, 66, 67, 66, 68, 66, 70, 66, 71, 66, 72, 66, 73, 66, 75, 66, 77, 66, 78, 66, 80, 66, 81, 66, 84, 66, 86, 66, 88, 66, 105, 67, 68, 67, 70, 67, 71, 67, 72, 67, 73, 67, 75, 67, 77, 67, 78, 67, 80, 67, 81, 68, 70, 68, 71, 68, 72, 68, 73, 68, 75, 68, 93, 70, 71, 70, 72, 70, 73, 70, 75, 70, 77, 70, 78, 70, 79, 70, 80, 70, 81, 70, 84, 70, 86, 70, 133, 70, 140, 71, 72, 71, 73, 71, 75, 71, 77, 71, 78, 71, 79, 71, 80, 71, 81, 71, 84, 71, 114, 71, 326, 71, 506, 71, 1186, 72, 73, 72, 75, 72, 77, 72, 78, 72, 79, 72, 80, 72, 81, 72, 83, 72, 84, 72, 86, 72, 88, 72, 105, 72, 111, 72, 116, 72, 125, 72, 262, 72, 372, 72, 861, 72, 1013, 72, 1432, 73, 74, 73, 75, 73, 77, 73, 78, 73, 79, 73, 93, 74, 75, 75, 77, 75, 78, 75, 79, 75, 80, 75, 81, 75, 83, 75, 84, 75, 86, 75, 88, 75, 100, 75, 105, 75, 106, 75, 111, 75, 115, 75, 116, 75, 125, 75, 155, 75, 181, 75, 665, 75, 818, 75, 849, 75, 925, 75, 2355, 77, 78, 77, 79, 77, 80, 77, 81, 77, 82, 77, 83, 77, 84, 77, 86, 77, 87, 77, 88, 77, 94, 77, 100, 77, 105, 77, 106, 77, 111, 77, 119, 78, 79, 78, 80, 78, 81, 78, 82, 78, 83, 78, 84, 78, 86, 78, 87, 78, 88, 78, 94, 78, 100, 78, 102, 78, 105, 78, 106, 78, 111, 78, 115, 78, 116, 78, 125, 79, 80, 79, 81, 79, 82, 79, 83, 79, 84, 79, 86, 79, 87, 79, 88, 80, 81, 80, 82, 80, 83, 80, 84, 80, 86, 80, 87, 80, 88, 80, 94, 80, 100, 80, 102, 80, 103, 80, 105, 80, 106, 80, 111, 80, 115, 80, 116, 80, 125, 80, 137, 80, 241, 81, 82, 81, 83, 81, 84, 81, 86, 81, 87, 81, 88, 81, 94, 81, 100, 81, 102, 81, 103, 81, 104, 81, 105, 81, 106, 81, 110, 81, 111, 82, 83, 82, 84, 82, 86, 82, 87, 82, 88, 83, 84, 83, 86, 83, 87, 83, 88, 83, 91, 83, 94, 83, 98, 83, 100, 83, 120, 84, 86, 84, 87, 84, 88, 84, 91, 84, 94, 84, 98, 84, 100, 84, 102, 84, 103, 84, 104, 84, 105, 84, 106, 84, 108, 84, 110, 84, 111, 84, 115, 84, 133, 86, 87, 86, 88, 86, 91, 86, 93, 86, 94, 86, 98, 86, 100, 86, 102, 86, 103, 86, 104, 86, 105, 86, 106, 86, 108, 86, 110, 86, 111, 86, 115, 86, 116, 86, 118, 86, 125, 86, 137, 86, 241, 86, 250, 86, 323, 86, 378, 86, 386, 86, 408, 87, 88, 87, 91, 87, 93, 87, 94, 87, 98, 87, 100, 87, 102, 87, 103, 87, 104, 87, 107, 87, 144, 87, 168, 87, 519, 87, 1022, 87, 1032, 88, 89, 88, 91, 88, 93, 88, 94, 88, 98, 88, 100, 88, 102, 88, 103, 88, 104, 88, 105, 88, 106, 88, 108, 88, 110, 88, 111, 88, 115, 88, 116, 88, 118, 88, 119, 88, 125, 88, 137, 89, 91, 91, 93, 91, 94, 91, 98, 91, 100, 91, 101, 91, 102, 91, 103, 93, 94, 93, 98, 93, 100, 93, 101, 93, 102, 93, 145, 94, 96, 94, 97, 94, 98, 94, 100, 94, 101, 94, 102, 94, 103, 94, 104, 94, 105, 94, 106, 94, 108, 94, 110, 94, 111, 94, 115, 94, 116, 94, 118, 94, 119, 94, 123, 94, 125, 94, 132, 94, 137, 94, 151, 94, 302, 94, 308, 94, 377, 94, 467, 94, 935, 94, 1506, 96, 97, 97, 98, 98, 100, 98, 101, 98, 102, 98, 103, 98, 104, 98, 105, 98, 106, 99, 100, 99, 101, 99, 102, 99, 103, 99, 104, 99, 105, 99, 106, 99, 107, 99, 108, 99, 110, 99, 111, 99, 115, 99, 116, 99, 118, 99, 119, 99, 123, 99, 125, 99, 132, 99, 137, 99, 143, 99, 151, 99, 156, 99, 241, 99, 250, 99, 289, 99, 313, 99, 323, 99, 332, 99, 378, 99, 386, 99, 408, 99, 511, 99, 562, 99, 682, 99, 1269, 99, 1492, 99, 1866, 100, 101, 100, 102, 100, 103, 100, 104, 100, 105, 100, 106, 100, 107, 100, 108, 100, 110, 100, 111, 100, 115, 100, 116, 100, 118, 100, 119, 100, 123, 100, 130, 100, 133, 101, 102, 101, 103, 101, 104, 101, 105, 101, 106, 101, 145, 102, 103, 102, 104, 102, 105, 102, 106, 102, 107, 102, 108, 102, 109, 102, 110, 102, 111, 102, 114, 102, 115, 102, 116, 102, 118, 102, 119, 102, 121, 102, 123, 103, 104, 103, 105, 103, 106, 103, 107, 103, 108, 103, 109, 103, 110, 103, 111, 103, 114, 103, 115, 103, 116, 103, 118, 103, 119, 103, 121, 103, 123, 103, 125, 103, 128, 103, 132, 103, 137, 103, 143, 103, 151, 103, 156, 103, 164, 103, 241, 103, 250, 103, 268, 103, 289, 103, 313, 103, 323, 103, 332, 103, 378, 103, 386, 103, 408, 103, 426, 103, 428, 103, 927, 103, 2009, 104, 105, 104, 106, 104, 107, 104, 108, 104, 109, 104, 110, 104, 111, 104, 114, 104, 115, 104, 116, 104, 118, 104, 119, 105, 106, 105, 107, 105, 108, 105, 109, 105, 110, 105, 111, 105, 114, 105, 115, 105, 116, 105, 118, 105, 119, 105, 121, 105, 123, 105, 125, 105, 128, 105, 132, 105, 137, 105, 143, 105, 151, 105, 156, 105, 164, 105, 241, 105, 250, 105, 268, 105, 289, 105, 313, 105, 323, 105, 332, 105, 378, 105, 380, 105, 386, 105, 408, 106, 107, 106, 108, 106, 109, 106, 110, 106, 111, 106, 114, 106, 115, 106, 116, 106, 118, 106, 119, 106, 121, 106, 123, 106, 125, 106, 128, 106, 130, 106, 132, 106, 137, 106, 143, 106, 151, 107, 108, 107, 109, 107, 110, 107, 111, 107, 112, 107, 1271, 107, 1800, 108, 109, 108, 110, 108, 111, 108, 112, 108, 114, 108, 115, 108, 116, 108, 117, 108, 118, 108, 119, 108, 121, 108, 123, 108, 125, 108, 128, 109, 110, 109, 111, 109, 112, 109, 113, 109, 114, 109, 115, 109, 116, 109, 117, 110, 111, 110, 112, 110, 113, 110, 114, 110, 115, 110, 116, 110, 117, 110, 118, 110, 119, 110, 121, 110, 123, 110, 125, 110, 128, 110, 130, 110, 132, 111, 112, 111, 113, 111, 114, 111, 115, 111, 116, 111, 117, 111, 118, 111, 119, 111, 121, 111, 123, 111, 125, 111, 128, 111, 130, 111, 131, 111, 132, 111, 133, 111, 135, 111, 137, 111, 143, 111, 151, 111, 152, 111, 155, 112, 113, 112, 114, 112, 115, 112, 116, 112, 117, 112, 118, 112, 119, 112, 120, 112, 121, 112, 123, 112, 125, 112, 128, 112, 130, 112, 131, 112, 132, 112, 133, 112, 135, 112, 137, 112, 140, 112, 143, 112, 151, 112, 152, 112, 155, 112, 156, 112, 164, 112, 167, 112, 193, 112, 227, 112, 1271, 113, 114, 113, 115, 113, 116, 113, 117, 114, 115, 114, 116, 114, 117, 114, 118, 114, 119, 114, 120, 114, 121, 114, 123, 114, 125, 114, 128, 114, 130, 114, 185, 114, 326, 115, 116, 115, 117, 115, 118, 115, 119, 115, 120, 115, 121, 115, 123, 115, 125, 115, 128, 115, 130, 115, 131, 115, 132, 115, 133, 115, 135, 115, 137, 115, 140, 115, 142, 115, 143, 115, 146, 115, 149, 115, 151, 115, 152, 115, 155, 115, 156, 115, 164, 115, 167, 115, 230, 115, 241, 115, 246, 115, 250, 115, 268, 115, 281, 115, 285, 115, 289, 116, 117, 116, 118, 116, 119, 116, 120, 116, 121, 116, 123, 116, 125, 116, 127, 116, 128, 116, 130, 116, 131, 116, 132, 116, 133, 116, 135, 116, 137, 116, 138, 116, 140, 116, 142, 116, 143, 116, 146, 116, 149, 116, 151, 116, 152, 116, 155, 116, 156, 116, 164, 116, 167, 116, 195, 116, 230, 116, 241, 116, 246, 116, 249, 116, 262, 116, 309, 117, 118, 117, 119, 117, 120, 117, 121, 117, 122, 117, 123, 117, 125, 117, 127, 117, 128, 117, 130, 118, 119, 118, 120, 118, 121, 118, 122, 118, 123, 118, 124, 118, 125, 118, 127, 118, 128, 118, 130, 118, 131, 118, 132, 118, 133, 118, 135, 118, 137, 118, 138, 118, 140, 118, 142, 118, 143, 118, 146, 118, 149, 118, 151, 118, 152, 118, 153, 118, 155, 118, 156, 118, 164, 118, 167, 118, 195, 118, 230, 118, 238, 118, 241, 118, 246, 118, 249, 119, 120, 119, 121, 119, 122, 119, 123, 119, 124, 119, 125, 119, 127, 119, 128, 119, 130, 119, 131, 119, 132, 119, 133, 119, 135, 119, 137, 119, 138, 119, 140, 119, 142, 119, 143, 119, 146, 119, 149, 119, 151, 119, 152, 119, 153, 119, 155, 119, 156, 119, 164, 119, 167, 119, 195, 119, 205, 119, 230, 119, 238, 119, 269, 119, 271, 119, 744, 119, 974, 120, 121, 120, 122, 120, 123, 120, 124, 120, 125, 120, 127, 120, 128, 120, 129, 120, 130, 120, 131, 120, 132, 120, 133, 120, 135, 120, 137, 120, 138, 120, 140, 120, 142, 120, 143, 120, 146, 120, 149, 120, 151, 120, 152, 120, 153, 120, 155, 120, 156, 120, 158, 120, 164, 120, 167, 120, 195, 120, 205, 120, 230, 120, 238, 120, 241, 120, 246, 120, 249, 120, 250, 120, 262, 120, 309, 120, 322, 120, 372, 120, 391, 120, 563, 120, 678, 120, 814, 120, 861, 120, 918, 120, 1013, 120, 1974, 120, 2092, 120, 2134, 121, 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Returns: {3, 4, 3, 19, 3, 41, 3, 43, 3, 66, 3, 231, 4, 6, 4, 19, 6, 19, 19, 22, 19, 23, 19, 41, 22, 23, 23, 26, 23, 35, 23, 41, 26, 27, 26, 34, 26, 39, 26, 79, 26, 160, 26, 1398, 26, 1438, 27, 29, 27, 34, 29, 34, 34, 35, 34, 36, 34, 39, 35, 36, 35, 41, 36, 38, 36, 39, 38, 39, 39, 40, 39, 60, 39, 79, 40, 41, 40, 42, 40, 48, 40, 60, 41, 42, 41, 43, 42, 43, 42, 46, 42, 48, 43, 46, 43, 66, 46, 48, 48, 49, 48, 51, 48, 53, 48, 60, 49, 51, 51, 53, 53, 60, 59, 77, 59, 84, 59, 106, 59, 123, 59, 378, 60, 66, 60, 69, 60, 76, 60, 79, 66, 69, 66, 70, 66, 115, 66, 231, 69, 70, 69, 76, 70, 72, 70, 76, 70, 83, 70, 93, 70, 113, 70, 115, 72, 76, 76, 79, 77, 84, 79, 80, 79, 82, 79, 160, 80, 82, 82, 83, 82, 86, 82, 91, 82, 98, 82, 147, 82, 160, 83, 86, 83, 91, 83, 92, 83, 93, 84, 106, 86, 91, 86, 92, 86, 93, 86, 113, 86, 115, 86, 132, 86, 231, 86, 307, 86, 327, 86, 656, 91, 92, 91, 93, 91, 98, 92, 93, 92, 98, 92, 102, 92, 142, 92, 189, 92, 208, 92, 236, 92, 247, 92, 700, 92, 1009, 93, 98, 93, 102, 93, 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Returns: {0, 157, 0, 297, 0, 445, 0, 874, 0, 1034, 0, 1199, 0, 1680, 1, 2, 1, 4, 1, 80, 1, 1205, 2, 4, 2, 5, 2, 6, 2, 29, 2, 38, 2, 54, 2, 58, 2, 157, 2, 249, 2, 649, 2, 756, 2, 991, 2, 1215, 2, 1364, 2, 1800, 2, 1901, 3, 4, 3, 5, 3, 6, 3, 29, 3, 38, 3, 54, 3, 80, 3, 102, 3, 436, 3, 574, 3, 859, 3, 961, 3, 1914, 4, 5, 4, 6, 4, 29, 4, 38, 4, 54, 4, 80, 4, 102, 4, 181, 4, 409, 4, 632, 5, 6, 5, 7, 5, 29, 5, 30, 5, 38, 5, 54, 5, 58, 5, 157, 5, 249, 5, 260, 5, 357, 5, 406, 5, 444, 5, 450, 5, 648, 6, 7, 6, 10, 6, 18, 6, 29, 6, 30, 6, 35, 6, 38, 6, 54, 6, 58, 6, 69, 6, 72, 6, 80, 6, 102, 6, 176, 6, 257, 6, 1241, 7, 10, 7, 11, 7, 18, 7, 29, 7, 30, 7, 35, 7, 37, 7, 93, 7, 160, 7, 163, 7, 277, 7, 363, 7, 466, 7, 808, 8, 10, 8, 11, 8, 19, 8, 20, 8, 45, 8, 52, 9, 10, 9, 11, 9, 12, 9, 14, 9, 18, 9, 23, 9, 29, 9, 30, 9, 35, 9, 37, 9, 38, 9, 54, 9, 56, 9, 58, 9, 60, 9, 63, 9, 129, 9, 157, 9, 249, 9, 260, 9, 297, 9, 445, 9, 449, 9, 507, 9, 877, 9, 952, 9, 1644, 9, 1828, 9, 2039, 10, 11, 10, 12, 10, 14, 10, 15, 10, 18, 10, 23, 10, 29, 10, 30, 10, 35, 10, 37, 10, 38, 10, 54, 10, 55, 10, 56, 10, 58, 10, 60, 10, 63, 10, 66, 10, 129, 10, 157, 10, 249, 10, 260, 10, 297, 10, 345, 10, 347, 10, 445, 10, 449, 10, 481, 10, 507, 10, 692, 10, 1110, 10, 1140, 10, 1741, 11, 12, 11, 14, 11, 15, 11, 18, 11, 23, 11, 24, 11, 29, 11, 30, 11, 35, 11, 37, 11, 38, 11, 54, 11, 55, 11, 56, 11, 58, 11, 60, 11, 63, 11, 66, 11, 69, 11, 72, 11, 80, 11, 102, 11, 118, 11, 129, 11, 157, 11, 249, 11, 260, 11, 879, 12, 14, 12, 15, 12, 18, 12, 19, 12, 20, 12, 22, 12, 23, 12, 24, 12, 29, 12, 30, 12, 31, 12, 35, 12, 37, 12, 38, 12, 39, 12, 54, 12, 55, 12, 56, 12, 58, 12, 60, 12, 63, 12, 66, 12, 69, 12, 72, 12, 80, 12, 102, 12, 118, 12, 129, 12, 157, 12, 164, 12, 213, 12, 249, 12, 260, 12, 297, 12, 329, 12, 345, 12, 347, 12, 445, 12, 449, 12, 481, 12, 507, 12, 649, 12, 756, 12, 991, 12, 1094, 12, 1139, 12, 1164, 12, 1215, 12, 1293, 12, 2107, 12, 2114, 14, 15, 14, 16, 14, 18, 14, 19, 14, 20, 14, 22, 14, 23, 14, 24, 14, 25, 14, 26, 14, 29, 14, 30, 14, 31, 14, 35, 14, 37, 14, 38, 14, 39, 14, 54, 14, 55, 14, 56, 14, 58, 14, 60, 14, 63, 14, 66, 14, 69, 14, 72, 14, 80, 14, 101, 14, 102, 14, 118, 14, 129, 14, 201, 14, 610, 14, 710, 14, 739, 14, 781, 14, 909, 15, 16, 15, 18, 15, 19, 15, 20, 15, 22, 15, 23, 15, 24, 15, 25, 15, 26, 15, 29, 15, 30, 15, 31, 15, 35, 15, 37, 15, 38, 15, 39, 15, 54, 15, 55, 15, 56, 15, 58, 15, 60, 15, 63, 15, 66, 15, 69, 15, 72, 15, 80, 15, 101, 15, 102, 15, 118, 15, 129, 15, 176, 15, 257, 15, 766, 15, 814, 16, 18, 16, 19, 16, 20, 16, 22, 16, 23, 16, 24, 16, 25, 16, 26, 16, 27, 16, 29, 16, 30, 16, 31, 16, 35, 16, 37, 16, 38, 18, 19, 18, 20, 18, 22, 18, 23, 18, 24, 18, 25, 18, 26, 18, 27, 18, 29, 18, 30, 18, 31, 18, 33, 18, 35, 18, 37, 18, 38, 18, 39, 18, 54, 18, 55, 18, 56, 18, 58, 18, 59, 18, 60, 18, 63, 18, 66, 18, 69, 18, 72, 18, 80, 18, 101, 18, 102, 18, 118, 18, 129, 18, 145, 18, 152, 18, 157, 18, 164, 18, 213, 18, 249, 18, 260, 18, 297, 18, 329, 18, 337, 18, 345, 18, 347, 18, 357, 18, 406, 18, 444, 18, 445, 18, 449, 18, 481, 18, 507, 18, 600, 18, 649, 18, 673, 18, 692, 18, 723, 18, 730, 18, 756, 18, 759, 18, 778, 18, 893, 18, 991, 18, 1094, 18, 1139, 18, 1164, 18, 1215, 18, 1293, 18, 1364, 18, 1587, 18, 1636, 18, 1679, 18, 1800, 18, 1858, 18, 2111, 19, 20, 19, 21, 19, 22, 19, 23, 19, 24, 19, 25, 19, 26, 19, 27, 19, 29, 19, 30, 19, 31, 19, 33, 19, 35, 19, 37, 19, 38, 19, 39, 19, 54, 19, 55, 19, 56, 19, 58, 19, 59, 19, 60, 19, 63, 19, 66, 19, 69, 19, 72, 19, 376, 19, 423, 19, 671, 20, 21, 20, 22, 20, 23, 20, 24, 20, 25, 20, 26, 20, 27, 20, 29, 20, 30, 20, 31, 20, 33, 20, 35, 20, 37, 20, 38, 20, 57, 20, 86, 20, 393, 20, 402, 20, 1014, 21, 22, 21, 23, 21, 24, 21, 25, 21, 26, 21, 28, 21, 84, 21, 350, 21, 361, 22, 23, 22, 24, 22, 25, 22, 26, 22, 27, 22, 29, 22, 30, 22, 31, 22, 33, 22, 35, 22, 37, 22, 38, 22, 39, 22, 54, 22, 55, 22, 56, 22, 58, 22, 59, 22, 60, 22, 63, 22, 66, 22, 69, 22, 72, 22, 80, 22, 101, 22, 102, 22, 118, 22, 129, 22, 145, 22, 152, 22, 157, 22, 164, 22, 191, 22, 213, 22, 249, 22, 260, 22, 297, 22, 312, 22, 329, 22, 337, 22, 345, 22, 347, 22, 357, 22, 406, 22, 414, 22, 444, 22, 445, 22, 449, 22, 481, 22, 507, 22, 578, 22, 600, 22, 649, 22, 673, 22, 692, 22, 723, 22, 730, 22, 756, 22, 759, 22, 778, 22, 893, 22, 957, 22, 1281, 22, 1786, 22, 1869, 22, 2071, 22, 2150, 22, 2242, 22, 2308, 23, 24, 23, 25, 23, 26, 23, 27, 23, 28, 23, 29, 23, 30, 23, 31, 23, 33, 23, 35, 23, 37, 23, 38, 23, 39, 23, 44, 23, 54, 23, 55, 23, 56, 23, 58, 23, 59, 23, 60, 23, 63, 23, 66, 23, 69, 23, 93, 23, 160, 23, 163, 23, 208, 23, 220, 23, 277, 23, 363, 23, 466, 23, 549, 23, 565, 23, 1299, 24, 25, 24, 26, 24, 27, 24, 28, 24, 29, 24, 30, 24, 31, 24, 33, 24, 35, 24, 37, 24, 38, 24, 39, 24, 44, 24, 49, 24, 54, 24, 55, 25, 26, 25, 27, 25, 28, 25, 29, 25, 30, 25, 31, 25, 33, 25, 35, 25, 37, 25, 38, 25, 39, 25, 44, 25, 49, 25, 54, 25, 55, 25, 56, 25, 58, 25, 59, 25, 60, 25, 63, 25, 66, 25, 69, 25, 72, 25, 80, 25, 83, 25, 101, 25, 102, 25, 118, 25, 129, 25, 145, 25, 152, 25, 157, 25, 164, 25, 191, 25, 213, 25, 249, 25, 260, 25, 297, 25, 312, 25, 329, 25, 337, 25, 345, 25, 347, 25, 357, 25, 386, 25, 554, 25, 743, 25, 1647, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 33, 26, 34, 26, 35, 26, 37, 26, 38, 26, 39, 26, 44, 26, 49, 26, 50, 26, 54, 26, 55, 26, 56, 26, 58, 26, 59, 26, 60, 26, 63, 26, 66, 26, 69, 26, 72, 26, 80, 26, 83, 26, 92, 26, 101, 26, 102, 26, 118, 26, 313, 26, 679, 26, 918, 27, 28, 27, 29, 27, 30, 27, 31, 27, 33, 27, 34, 27, 35, 27, 36, 27, 37, 27, 38, 27, 39, 27, 44, 27, 47, 27, 49, 27, 50, 27, 54, 27, 55, 27, 56, 27, 57, 27, 58, 27, 59, 27, 60, 27, 63, 27, 66, 27, 69, 27, 72, 27, 80, 27, 83, 27, 92, 27, 101, 27, 102, 27, 118, 27, 129, 27, 145, 27, 152, 27, 157, 27, 164, 27, 181, 27, 191, 27, 213, 27, 249, 27, 260, 27, 297, 27, 312, 27, 329, 27, 337, 27, 345, 27, 347, 27, 357, 27, 386, 27, 406, 27, 414, 27, 444, 27, 445, 27, 449, 27, 450, 27, 481, 27, 499, 27, 507, 27, 578, 27, 589, 27, 600, 27, 649, 27, 673, 27, 692, 27, 723, 27, 730, 27, 756, 27, 759, 27, 778, 27, 782, 27, 785, 27, 893, 27, 1313, 27, 1627, 27, 1744, 27, 1867, 27, 2237, 28, 29, 28, 30, 28, 31, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 38, 28, 39, 28, 44, 28, 47, 28, 49, 28, 50, 28, 54, 28, 55, 28, 56, 28, 57, 28, 58, 28, 59, 28, 60, 28, 63, 28, 66, 28, 69, 28, 72, 28, 80, 28, 83, 28, 92, 28, 101, 28, 102, 28, 118, 28, 129, 28, 130, 28, 136, 28, 145, 28, 152, 28, 156, 28, 157, 28, 164, 28, 176, 28, 181, 28, 191, 28, 213, 28, 237, 28, 249, 28, 260, 28, 297, 28, 312, 28, 329, 28, 337, 28, 345, 28, 347, 28, 357, 28, 386, 28, 406, 28, 414, 28, 444, 28, 445, 28, 449, 28, 450, 28, 481, 28, 499, 28, 507, 28, 578, 28, 589, 29, 30, 29, 31, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 39, 29, 44, 29, 47, 29, 49, 29, 50, 29, 54, 29, 55, 29, 56, 29, 57, 29, 58, 29, 59, 29, 60, 29, 63, 29, 66, 29, 69, 29, 72, 29, 79, 29, 80, 29, 83, 29, 92, 29, 93, 29, 101, 29, 102, 29, 118, 29, 129, 29, 130, 29, 136, 29, 145, 29, 152, 29, 156, 29, 157, 29, 164, 29, 176, 29, 181, 29, 191, 29, 213, 29, 229, 29, 237, 29, 249, 29, 260, 29, 297, 29, 312, 29, 329, 29, 337, 29, 345, 29, 347, 29, 357, 29, 386, 29, 406, 29, 414, 29, 444, 29, 445, 29, 449, 29, 450, 29, 481, 29, 499, 29, 507, 29, 563, 29, 578, 29, 589, 29, 1095, 29, 1488, 30, 31, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 39, 30, 40, 30, 44, 30, 45, 30, 47, 30, 49, 30, 50, 30, 54, 30, 55, 30, 56, 30, 57, 30, 58, 30, 59, 30, 60, 30, 63, 30, 66, 30, 69, 30, 72, 30, 79, 30, 80, 30, 83, 30, 90, 30, 92, 30, 93, 30, 101, 30, 102, 30, 118, 30, 129, 30, 130, 30, 136, 30, 145, 30, 152, 30, 156, 30, 157, 30, 164, 30, 176, 30, 181, 30, 191, 30, 201, 30, 213, 30, 229, 30, 237, 30, 249, 30, 260, 30, 268, 30, 297, 30, 312, 30, 325, 30, 329, 30, 337, 30, 345, 30, 347, 30, 357, 30, 360, 30, 386, 30, 406, 30, 414, 30, 444, 30, 445, 30, 449, 30, 450, 30, 481, 30, 499, 30, 507, 30, 518, 30, 554, 30, 728, 30, 1083, 30, 2219, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 39, 31, 40, 31, 44, 31, 45, 31, 127, 31, 211, 31, 906, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 39, 32, 40, 32, 44, 32, 45, 32, 47, 32, 49, 32, 50, 32, 54, 32, 55, 32, 56, 32, 57, 32, 58, 32, 59, 32, 60, 32, 63, 32, 66, 32, 69, 32, 72, 32, 79, 32, 80, 32, 83, 32, 90, 32, 92, 32, 93, 32, 101, 32, 102, 32, 118, 32, 129, 32, 130, 32, 136, 32, 145, 32, 152, 32, 156, 32, 157, 32, 164, 32, 175, 32, 176, 32, 181, 32, 190, 32, 191, 32, 201, 32, 213, 32, 229, 32, 237, 32, 249, 32, 260, 32, 268, 32, 270, 32, 297, 32, 312, 32, 325, 32, 329, 32, 337, 32, 345, 32, 347, 32, 357, 32, 360, 32, 386, 32, 406, 32, 414, 32, 444, 32, 445, 32, 449, 32, 450, 32, 481, 32, 499, 32, 507, 32, 518, 32, 563, 32, 578, 32, 589, 32, 600, 32, 649, 32, 673, 32, 692, 32, 723, 32, 730, 32, 751, 32, 756, 32, 877, 32, 952, 32, 1121, 32, 1191, 32, 1668, 32, 1842, 32, 2303, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 39, 33, 40, 33, 44, 33, 45, 33, 46, 33, 47, 33, 49, 33, 50, 33, 54, 33, 55, 33, 56, 33, 57, 33, 58, 33, 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Returns: {-1 }
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Returns: {-1 }
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Returns: {-1 }
{173, 206, 198, 238, 201, 197, 159, 187, 160, 190, 216, 191, 208, 194, 151, 112, 163, 167, 144, 237, 224, 148, 5, 243, 172, 113, 242, 227, 136, 212, 220, 150, 140, 22, 15, 115, 79, 57, 16, 221, 213, 180, 114, 229, 245, 94, 195, 225, 232, 204, 234, 199, 231, 236, 117, 219, 116, 137, 247, 3, 165, 169, 203, 118, 181, 211, 248, 80, 182, 153, 192, 147, 141, 27, 17, 149, 55, 135, 77, 184, 233, 138, 176, 68, 218, 110, 48, 156, 168, 249, 42, 132, 58, 125, 64, 228, 97, 185, 241, 105, 96, 235, 145, 202, 215, 52, 155, 189, 73, 196, 222, 210, 47, 38, 44, 200, 108, 107, 54, 14, 217, 19, 186, 106, 33, 223, 162, 18, 146, 63, 50, 72, 214, 157, 124, 70, 12, 226, 174, 131, 1, 171, 34, 246, 74, 95, 61, 92, 31, 36, 104, 40, 161, 175, 46, 102, 85, 120, 69, 84, 139, 109, 122, 239, 142, 67, 240, 11, 170, 179, 128, 81, 177, 207, 152, 183, 49, 230, 143, 89, 209, 101, 87, 188, 24, 20, 130, 193, 37, 83, 53, 100, 244, 88, 119, 6, 78, 51, 26, 13, 86, 205, 93, 7, 154, 35, 65, 21, 98, 121, 59, 90, 127, 41, 129, 45, 25, 66, 166, 9, 99, 30, 126, 158, 133, 62, 91, 32, 178, 29, 43, 39, 10, 4, 75, 82, 103, 71, 134, 60, 123, 28, 2, 23, 111, 8, 0, 76, 164, 56 }

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

Returns: {2, 5, 2, 6, 2, 14, 2, 18, 2, 28, 2, 77, 2, 91, 2, 139, 2, 170, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 14, 3, 15, 3, 36, 3, 37, 3, 76, 4, 5, 4, 6, 4, 7, 4, 8, 4, 14, 4, 15, 4, 18, 4, 21, 4, 25, 4, 33, 4, 34, 4, 119, 4, 136, 4, 167, 4, 219, 5, 6, 5, 7, 5, 8, 6, 7, 6, 8, 6, 9, 6, 14, 6, 15, 6, 18, 7, 8, 7, 9, 7, 11, 7, 14, 7, 15, 7, 41, 7, 82, 7, 153, 8, 9, 8, 11, 8, 13, 8, 14, 8, 15, 8, 16, 8, 18, 8, 21, 8, 25, 8, 28, 8, 32, 8, 33, 8, 36, 8, 37, 8, 76, 8, 105, 8, 130, 8, 176, 9, 10, 9, 11, 9, 13, 9, 14, 9, 15, 9, 16, 9, 17, 9, 18, 9, 21, 9, 22, 9, 233, 10, 11, 10, 12, 11, 12, 11, 13, 11, 14, 11, 15, 11, 16, 11, 17, 11, 18, 11, 21, 11, 22, 11, 25, 11, 28, 11, 32, 11, 33, 11, 34, 11, 74, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 21, 12, 22, 12, 25, 12, 28, 12, 31, 12, 32, 12, 33, 12, 34, 12, 57, 12, 77, 12, 91, 12, 139, 12, 170, 13, 14, 13, 15, 13, 16, 13, 17, 13, 18, 13, 21, 13, 22, 13, 25, 13, 28, 13, 31, 13, 32, 13, 33, 13, 34, 13, 164, 14, 15, 14, 16, 14, 17, 14, 18, 14, 21, 14, 22, 14, 24, 14, 25, 14, 28, 14, 31, 14, 32, 14, 33, 14, 34, 14, 35, 14, 36, 14, 37, 14, 45, 14, 67, 14, 76, 14, 78, 14, 108, 14, 131, 14, 135, 14, 158, 15, 16, 15, 17, 15, 18, 15, 21, 15, 22, 15, 24, 15, 25, 15, 28, 15, 31, 15, 32, 15, 33, 15, 34, 15, 35, 15, 36, 15, 37, 15, 45, 15, 67, 15, 76, 15, 78, 15, 83, 15, 86, 15, 90, 15, 113, 15, 149, 15, 205, 16, 17, 16, 18, 16, 21, 16, 22, 16, 24, 16, 25, 16, 28, 16, 31, 16, 32, 17, 18, 17, 21, 17, 22, 17, 24, 17, 25, 17, 28, 17, 31, 17, 32, 17, 33, 17, 34, 17, 35, 17, 36, 17, 37, 17, 42, 17, 45, 17, 67, 17, 76, 17, 78, 17, 83, 17, 86, 17, 94, 17, 129, 17, 146, 17, 239, 18, 19, 18, 20, 18, 21, 18, 22, 18, 24, 18, 25, 18, 28, 18, 31, 18, 32, 18, 33, 18, 34, 18, 35, 18, 36, 18, 37, 18, 71, 18, 102, 18, 164, 19, 20, 19, 21, 19, 22, 19, 24, 19, 25, 19, 28, 19, 31, 19, 32, 19, 33, 19, 34, 19, 35, 19, 36, 19, 37, 19, 42, 19, 45, 19, 67, 19, 76, 20, 21, 20, 22, 21, 22, 21, 24, 21, 25, 21, 28, 21, 31, 21, 32, 21, 33, 21, 34, 21, 35, 21, 36, 21, 37, 21, 42, 21, 71, 22, 24, 22, 25, 22, 28, 22, 31, 22, 32, 22, 33, 22, 34, 22, 35, 22, 36, 22, 37, 22, 38, 22, 119, 22, 136, 22, 167, 22, 195, 22, 233, 24, 25, 24, 27, 24, 28, 24, 29, 24, 31, 24, 32, 24, 33, 24, 34, 24, 35, 24, 36, 24, 37, 24, 38, 24, 42, 24, 45, 24, 67, 24, 76, 24, 78, 24, 83, 24, 86, 25, 27, 25, 28, 25, 29, 25, 31, 25, 32, 25, 33, 25, 34, 25, 35, 25, 36, 25, 37, 25, 38, 25, 42, 25, 45, 25, 54, 25, 56, 25, 59, 26, 27, 26, 28, 26, 29, 26, 30, 26, 31, 26, 32, 26, 33, 26, 34, 26, 35, 26, 36, 26, 37, 26, 38, 26, 42, 26, 45, 26, 54, 26, 56, 26, 59, 26, 67, 26, 76, 26, 78, 26, 85, 26, 96, 26, 100, 26, 145, 27, 28, 27, 29, 27, 30, 28, 29, 28, 30, 28, 31, 28, 32, 28, 33, 28, 34, 28, 35, 28, 36, 28, 37, 28, 38, 28, 41, 28, 42, 28, 45, 28, 54, 28, 56, 28, 57, 28, 77, 28, 91, 29, 30, 29, 31, 29, 32, 29, 33, 29, 34, 29, 35, 29, 36, 29, 37, 29, 38, 29, 41, 29, 42, 29, 45, 29, 54, 29, 56, 29, 57, 29, 59, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 37, 30, 38, 30, 41, 30, 42, 30, 45, 30, 54, 30, 56, 30, 57, 30, 59, 30, 71, 30, 72, 30, 77, 30, 81, 30, 91, 30, 93, 30, 134, 30, 162, 30, 209, 31, 32, 31, 33, 31, 34, 31, 35, 31, 36, 31, 37, 31, 38, 31, 41, 31, 42, 32, 33, 32, 34, 32, 35, 32, 36, 32, 37, 32, 38, 32, 41, 32, 42, 32, 45, 32, 54, 32, 56, 32, 57, 32, 59, 32, 69, 32, 71, 32, 72, 32, 75, 32, 77, 32, 81, 33, 34, 33, 35, 33, 36, 33, 37, 33, 38, 33, 41, 33, 42, 33, 45, 33, 54, 33, 56, 33, 57, 33, 59, 33, 60, 33, 63, 33, 67, 33, 73, 33, 74, 34, 35, 34, 36, 34, 37, 34, 38, 34, 40, 34, 41, 34, 42, 34, 45, 34, 46, 34, 54, 34, 56, 34, 57, 34, 59, 34, 60, 34, 63, 34, 67, 34, 73, 34, 74, 34, 119, 34, 136, 35, 36, 35, 37, 35, 38, 35, 40, 35, 41, 35, 42, 35, 45, 35, 46, 35, 54, 35, 56, 35, 57, 35, 59, 35, 60, 35, 61, 35, 63, 35, 67, 35, 69, 35, 71, 35, 72, 35, 73, 35, 74, 35, 76, 35, 78, 35, 83, 35, 86, 35, 90, 35, 112, 35, 113, 35, 119, 35, 121, 35, 127, 35, 136, 35, 140, 35, 246, 36, 37, 36, 38, 36, 39, 36, 40, 36, 41, 36, 42, 36, 45, 36, 46, 36, 51, 36, 54, 36, 56, 36, 57, 36, 59, 36, 60, 36, 61, 36, 63, 36, 67, 36, 69, 36, 71, 36, 72, 36, 73, 36, 75, 36, 77, 36, 81, 36, 160, 37, 38, 37, 39, 37, 40, 37, 41, 37, 42, 37, 45, 37, 46, 37, 49, 37, 51, 37, 54, 37, 56, 37, 57, 37, 59, 37, 60, 37, 61, 37, 63, 37, 67, 37, 69, 37, 71, 37, 72, 37, 73, 37, 74, 37, 76, 37, 78, 37, 83, 37, 85, 37, 86, 37, 90, 37, 92, 37, 105, 38, 39, 38, 40, 38, 41, 38, 42, 38, 45, 38, 46, 38, 49, 38, 51, 38, 54, 38, 56, 38, 57, 38, 59, 38, 60, 38, 61, 38, 63, 38, 64, 38, 67, 38, 69, 38, 71, 38, 72, 38, 73, 38, 74, 38, 75, 38, 76, 38, 78, 38, 83, 38, 85, 38, 86, 38, 90, 38, 92, 38, 94, 38, 105, 38, 112, 38, 113, 38, 114, 38, 119, 38, 121, 38, 127, 38, 136, 38, 140, 39, 40, 39, 41, 39, 42, 40, 41, 40, 42, 40, 43, 40, 45, 40, 46, 40, 49, 41, 42, 41, 43, 41, 45, 41, 46, 41, 49, 41, 51, 41, 54, 41, 56, 41, 57, 41, 59, 41, 60, 41, 61, 41, 63, 41, 64, 41, 67, 41, 82, 42, 43, 42, 45, 42, 46, 42, 47, 42, 49, 42, 51, 42, 54, 42, 56, 42, 57, 42, 59, 42, 60, 42, 61, 42, 63, 42, 64, 42, 67, 42, 68, 42, 69, 42, 71, 42, 72, 42, 73, 42, 74, 42, 75, 42, 76, 42, 77, 42, 78, 42, 83, 42, 85, 42, 86, 43, 45, 43, 46, 43, 47, 44, 45, 44, 46, 44, 47, 44, 48, 44, 49, 44, 51, 44, 54, 44, 56, 44, 57, 44, 59, 44, 60, 44, 61, 44, 63, 44, 64, 44, 67, 44, 68, 44, 69, 44, 71, 44, 72, 44, 73, 44, 74, 44, 75, 44, 76, 44, 77, 44, 78, 44, 81, 44, 91, 44, 93, 44, 134, 44, 157, 44, 194, 45, 46, 45, 47, 45, 48, 45, 49, 45, 51, 45, 54, 45, 55, 45, 56, 45, 57, 45, 59, 45, 60, 45, 61, 45, 63, 45, 64, 45, 67, 45, 68, 45, 69, 45, 71, 45, 72, 45, 73, 45, 74, 45, 75, 45, 76, 45, 77, 45, 78, 45, 81, 45, 83, 45, 85, 45, 86, 45, 90, 45, 92, 45, 94, 45, 105, 45, 165, 45, 217, 46, 47, 46, 48, 46, 49, 46, 50, 46, 51, 46, 52, 46, 54, 46, 55, 46, 56, 46, 57, 46, 59, 46, 60, 46, 61, 46, 63, 46, 64, 46, 67, 46, 68, 46, 69, 46, 71, 46, 72, 46, 73, 46, 74, 46, 75, 46, 76, 46, 77, 46, 78, 46, 81, 46, 83, 46, 85, 46, 86, 46, 90, 46, 92, 46, 94, 46, 105, 46, 108, 46, 112, 46, 113, 46, 114, 47, 48, 47, 49, 47, 50, 47, 51, 47, 52, 47, 54, 47, 55, 47, 56, 47, 57, 47, 59, 47, 60, 47, 61, 47, 62, 47, 63, 47, 64, 47, 67, 47, 68, 47, 69, 47, 70, 47, 71, 47, 72, 47, 73, 47, 74, 47, 75, 47, 76, 47, 77, 47, 78, 47, 81, 47, 83, 47, 85, 47, 86, 47, 90, 47, 92, 47, 94, 47, 96, 47, 116, 48, 49, 48, 50, 48, 51, 48, 52, 48, 54, 49, 50, 49, 51, 49, 52, 49, 53, 49, 54, 49, 55, 49, 56, 49, 57, 49, 59, 49, 60, 49, 61, 49, 62, 50, 51, 50, 52, 50, 53, 50, 54, 50, 55, 51, 52, 51, 53, 51, 54, 51, 55, 51, 56, 51, 57, 51, 59, 51, 60, 51, 61, 51, 62, 51, 63, 51, 64, 51, 67, 51, 68, 51, 69, 51, 70, 51, 71, 51, 72, 51, 73, 51, 74, 51, 75, 51, 76, 51, 77, 51, 78, 51, 81, 51, 83, 51, 85, 51, 86, 51, 91, 51, 93, 51, 134, 51, 139, 51, 224, 52, 53, 52, 54, 52, 55, 52, 56, 52, 57, 52, 59, 52, 60, 52, 61, 52, 62, 52, 63, 52, 64, 52, 67, 52, 68, 52, 69, 52, 70, 52, 71, 52, 72, 52, 73, 52, 74, 52, 75, 52, 76, 52, 77, 52, 78, 52, 81, 52, 83, 52, 85, 52, 86, 52, 90, 52, 92, 52, 94, 52, 96, 52, 99, 52, 100, 52, 105, 52, 108, 52, 112, 52, 113, 52, 118, 52, 190, 53, 54, 53, 55, 53, 56, 53, 57, 53, 59, 53, 60, 53, 61, 53, 62, 53, 63, 53, 64, 53, 65, 53, 67, 53, 68, 53, 69, 53, 70, 53, 71, 53, 72, 53, 73, 53, 74, 53, 75, 53, 76, 53, 77, 53, 78, 53, 81, 53, 83, 53, 85, 53, 86, 53, 90, 53, 91, 53, 92, 53, 94, 53, 96, 53, 99, 53, 100, 53, 105, 53, 108, 53, 112, 53, 113, 53, 247, 54, 55, 54, 56, 54, 57, 54, 59, 54, 60, 54, 61, 54, 62, 54, 63, 54, 64, 54, 65, 55, 56, 55, 57, 55, 59, 55, 60, 55, 61, 55, 62, 55, 63, 55, 64, 56, 57, 56, 59, 56, 60, 56, 61, 56, 62, 56, 63, 56, 64, 56, 65, 56, 67, 56, 68, 56, 69, 56, 70, 56, 71, 56, 72, 56, 73, 56, 74, 56, 75, 56, 76, 56, 77, 56, 78, 56, 81, 56, 83, 56, 85, 56, 86, 56, 87, 56, 90, 56, 91, 56, 92, 56, 93, 56, 94, 56, 96, 56, 99, 56, 100, 56, 105, 56, 108, 56, 112, 56, 113, 56, 114, 56, 119, 56, 121, 56, 124, 56, 127, 56, 184, 56, 207, 57, 59, 57, 60, 57, 61, 57, 62, 57, 63, 57, 64, 57, 65, 57, 67, 57, 68, 57, 69, 57, 70, 57, 71, 57, 72, 57, 73, 57, 74, 57, 75, 57, 76, 57, 77, 57, 78, 57, 81, 57, 83, 57, 85, 57, 86, 57, 87, 57, 90, 57, 91, 57, 92, 57, 93, 57, 94, 57, 102, 57, 128, 57, 134, 57, 139, 59, 60, 59, 61, 59, 62, 59, 63, 59, 64, 59, 65, 59, 67, 59, 68, 59, 69, 59, 70, 59, 71, 59, 72, 59, 73, 59, 74, 59, 75, 59, 76, 59, 77, 59, 78, 59, 79, 59, 81, 59, 82, 59, 83, 59, 85, 59, 86, 59, 87, 59, 90, 59, 91, 59, 92, 59, 93, 59, 94, 59, 96, 59, 99, 59, 100, 59, 105, 59, 108, 59, 112, 59, 113, 59, 114, 59, 118, 59, 119, 59, 121, 59, 124, 59, 213, 60, 61, 60, 62, 60, 63, 60, 64, 60, 65, 60, 67, 60, 68, 60, 69, 60, 70, 60, 71, 60, 72, 60, 73, 60, 74, 60, 75, 60, 76, 60, 77, 60, 78, 60, 79, 60, 81, 60, 82, 60, 83, 60, 85, 60, 86, 60, 87, 60, 90, 60, 91, 60, 92, 60, 93, 60, 94, 60, 96, 60, 99, 60, 100, 60, 105, 60, 108, 60, 112, 60, 113, 60, 114, 60, 118, 60, 119, 60, 121, 60, 124, 60, 127, 60, 136, 60, 140, 60, 167, 60, 195, 60, 203, 60, 233, 60, 242, 60, 246, 61, 62, 61, 63, 61, 64, 61, 65, 61, 67, 61, 68, 61, 69, 61, 70, 61, 71, 61, 72, 61, 73, 61, 74, 61, 75, 61, 76, 61, 77, 61, 78, 61, 79, 61, 81, 61, 82, 61, 83, 61, 85, 61, 86, 61, 87, 62, 63, 62, 64, 62, 65, 62, 67, 62, 68, 62, 69, 62, 70, 62, 71, 62, 72, 62, 73, 62, 74, 62, 75, 62, 76, 62, 77, 62, 78, 62, 79, 62, 81, 62, 82, 62, 83, 62, 85, 62, 86, 62, 87, 62, 88, 62, 90, 62, 91, 62, 92, 62, 93, 62, 94, 62, 96, 62, 99, 62, 100, 62, 105, 62, 108, 62, 112, 62, 113, 62, 150, 62, 155, 62, 181, 62, 191, 63, 64, 63, 65, 63, 67, 63, 68, 63, 69, 63, 70, 63, 71, 63, 72, 63, 73, 63, 74, 63, 75, 63, 76, 63, 77, 63, 78, 63, 79, 63, 81, 63, 82, 63, 83, 63, 85, 63, 86, 63, 87, 63, 88, 63, 90, 63, 91, 63, 92, 63, 93, 63, 94, 63, 96, 63, 99, 63, 100, 63, 102, 63, 105, 63, 108, 63, 112, 63, 113, 63, 114, 63, 118, 63, 119, 63, 121, 63, 124, 63, 127, 63, 136, 63, 140, 63, 167, 63, 195, 63, 199, 64, 65, 64, 67, 64, 68, 64, 69, 64, 70, 64, 71, 64, 72, 64, 73, 64, 74, 64, 75, 64, 76, 64, 77, 64, 78, 64, 79, 64, 81, 64, 82, 64, 83, 64, 85, 64, 86, 64, 87, 64, 88, 65, 67, 65, 68, 65, 69, 65, 70, 65, 71, 65, 72, 65, 73, 65, 74, 65, 75, 65, 76, 65, 77, 65, 78, 65, 79 }
{10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 }

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

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

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

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Returns: {0, 2, 0, 6, 0, 10, 0, 222, 0, 1719, 1, 2, 1, 6, 1, 10, 1, 11, 1, 28, 1, 222, 1, 413, 1, 491, 1, 542, 1, 1229, 2, 3, 2, 5, 2, 6, 2, 10, 2, 11, 2, 13, 2, 17, 2, 20, 2, 26, 2, 28, 2, 36, 2, 46, 2, 47, 2, 414, 2, 735, 3, 5, 5, 6, 5, 10, 5, 11, 5, 13, 5, 17, 5, 20, 5, 26, 5, 28, 5, 36, 5, 46, 5, 47, 5, 78, 5, 208, 5, 290, 5, 299, 5, 302, 5, 637, 5, 1200, 5, 1212, 5, 1442, 5, 1763, 6, 7, 6, 10, 6, 11, 6, 13, 6, 17, 6, 20, 6, 26, 6, 28, 6, 30, 6, 32, 6, 36, 6, 46, 6, 47, 6, 66, 6, 78, 6, 95, 6, 133, 6, 151, 6, 208, 6, 215, 6, 290, 6, 356, 6, 414, 6, 722, 6, 735, 6, 1225, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 17, 7, 19, 7, 20, 7, 26, 7, 28, 7, 30, 7, 32, 7, 36, 7, 46, 7, 47, 7, 66, 7, 78, 7, 79, 7, 95, 7, 133, 7, 151, 7, 208, 7, 222, 7, 281, 7, 413, 7, 451, 7, 457, 7, 507, 7, 1109, 7, 2305, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 17, 8, 19, 8, 20, 8, 26, 8, 28, 8, 30, 8, 32, 8, 36, 8, 46, 8, 47, 8, 66, 8, 78, 8, 79, 8, 95, 8, 133, 8, 151, 8, 163, 8, 490, 8, 515, 8, 710, 8, 763, 8, 1839, 8, 2275, 8, 2312, 8, 2431, 9, 10, 9, 11, 10, 11, 10, 12, 10, 13, 10, 16, 10, 17, 10, 19, 10, 20, 10, 26, 10, 28, 10, 30, 10, 32, 10, 36, 10, 46, 10, 47, 10, 66, 10, 78, 10, 79, 10, 95, 10, 99, 10, 133, 10, 151, 10, 163, 10, 192, 10, 208, 10, 222, 10, 243, 10, 281, 10, 413, 10, 451, 11, 12, 11, 13, 11, 16, 11, 17, 11, 19, 11, 20, 11, 26, 11, 27, 11, 28, 11, 30, 11, 32, 11, 36, 11, 46, 11, 47, 11, 66, 11, 78, 11, 79, 11, 95, 11, 99, 11, 133, 11, 151, 11, 163, 11, 192, 11, 208, 11, 215, 11, 383, 11, 1255, 12, 13, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 12, 26, 12, 27, 12, 28, 12, 30, 12, 32, 12, 36, 12, 40, 12, 46, 12, 47, 12, 66, 12, 78, 12, 79, 12, 95, 12, 99, 12, 133, 12, 151, 12, 163, 12, 192, 12, 208, 12, 215, 12, 216, 12, 222, 12, 243, 12, 281, 12, 285, 12, 290, 12, 299, 12, 302, 12, 490, 12, 531, 12, 1013, 12, 1490, 13, 14, 13, 16, 13, 17, 13, 18, 13, 19, 13, 20, 13, 22, 13, 26, 13, 27, 13, 28, 13, 30, 13, 32, 13, 36, 13, 40, 13, 46, 13, 357, 13, 399, 13, 454, 13, 559, 14, 16, 14, 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35, 79, 35, 81, 35, 84, 35, 87, 35, 92, 35, 95, 35, 99, 35, 100, 35, 102, 35, 107, 35, 112, 35, 117, 35, 129, 35, 133, 35, 140, 35, 151, 35, 152, 35, 157, 35, 163, 35, 166, 35, 181, 35, 186, 35, 192, 35, 208, 35, 215, 35, 216, 35, 217, 35, 219, 35, 222, 35, 234, 35, 243, 35, 259, 35, 262, 35, 281, 35, 285, 35, 290, 35, 298, 35, 299, 35, 302, 35, 330, 35, 356, 35, 367, 35, 383, 35, 404, 35, 413, 35, 414, 35, 421, 35, 447, 35, 451, 35, 457, 35, 465, 35, 490, 35, 511, 35, 513 }
{2, 0, 1 }

{1, 0, 2 }

Returns: {0, 2 }
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Returns: {0, 7, 0, 19, 0, 177, 0, 224, 0, 332, 0, 1384, 1, 7, 1, 15, 1, 19, 1, 56, 1, 86, 1, 204, 1, 674, 1, 1279, 1, 2141, 2, 3, 2, 4, 2, 6, 2, 9, 2, 32, 2, 34, 2, 48, 2, 181, 2, 532, 2, 848, 2, 1372, 3, 4, 3, 6, 3, 7, 3, 15, 3, 19, 3, 56, 3, 122, 3, 123, 3, 329, 3, 392, 3, 522, 3, 1152, 4, 5, 4, 6, 4, 7, 4, 9, 4, 11, 4, 14, 4, 15, 4, 19, 4, 21, 4, 56, 4, 86, 4, 177, 4, 224, 4, 332, 4, 334, 4, 731, 4, 810, 5, 6, 5, 7, 5, 9, 5, 11, 5, 14, 5, 15, 5, 19, 5, 21, 5, 44, 5, 56, 5, 86, 5, 122, 5, 123, 5, 230, 5, 265, 5, 500, 5, 622, 5, 776, 5, 783, 5, 1272, 6, 7, 6, 9, 6, 11, 6, 14, 6, 15, 6, 19, 6, 21, 6, 44, 6, 56, 6, 64, 6, 86, 6, 122, 6, 123, 6, 230, 6, 265, 6, 416, 7, 9, 7, 10, 7, 11, 7, 13, 7, 14, 7, 15, 7, 19, 7, 21, 7, 27, 7, 32, 7, 34, 7, 44, 7, 56, 7, 59, 7, 64, 7, 86, 7, 102, 8, 9, 8, 10, 8, 11, 8, 13, 8, 14, 8, 15, 8, 19, 8, 21, 8, 25, 8, 27, 8, 32, 8, 34, 8, 44, 8, 47, 8, 56, 8, 59, 8, 64, 8, 86, 8, 90, 8, 102, 8, 122, 8, 123, 8, 177, 8, 224, 8, 617, 9, 10, 9, 11, 9, 13, 9, 14, 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29, 190, 29, 191, 29, 202, 29, 204, 29, 213, 29, 224, 29, 230, 29, 259, 29, 264, 29, 265, 29, 269, 29, 307, 29, 329, 29, 332, 29, 334, 29, 354, 29, 357, 29, 361, 29, 375, 29, 392, 29, 416, 29, 1938, 30, 31, 30, 32, 30, 33, 30, 34, 30, 35, 30, 36, 30, 38, 30, 39, 30, 40, 30, 44, 30, 46, 30, 47, 30, 48, 30, 50, 30, 52, 30, 56, 30, 57, 30, 59, 30, 63, 30, 64, 30, 67, 30, 68 }
{5, 3, 1, 4, 2, 0 }

{3, 2, 1, 4, 5, 0 }

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

{0, 2, 3, 1, 4 }

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

{1, 0, 3, 2 }

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

{0, 2, 1 }

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

{1, 0, 2 }

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

{1, 3, 2, 4, 0 }

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

{3, 0, 2, 1 }

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

{1, 0, 2, 3 }

Returns: {0, 1, 0, 2, 1, 2, 1, 3, 2, 3 }
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Returns: {0, 2499, 1, 2499, 2, 2499, 3, 2499, 4, 2499, 5, 2499, 6, 2499, 7, 2499, 8, 2499, 9, 2499, 10, 2499, 11, 2499, 12, 2499, 13, 2499, 14, 2499, 15, 2499, 16, 2499, 17, 2499, 18, 2499, 19, 2499, 20, 2499, 21, 2499, 22, 2499, 23, 2499, 24, 2499, 25, 2499, 26, 2499, 27, 2499, 28, 2499, 29, 2499, 30, 2499, 31, 2499, 32, 2499, 33, 2499, 34, 2499, 35, 2499, 36, 2499, 37, 2499, 38, 2499, 39, 2499, 40, 2499, 41, 2499, 42, 2499, 43, 2499, 44, 2499, 45, 2499, 46, 2499, 47, 2499, 48, 2499, 49, 2499, 50, 2499, 51, 2499, 52, 2499, 53, 2499, 54, 2499, 55, 2499, 56, 2499, 57, 2499, 58, 2499, 59, 2499, 60, 2499, 61, 2499, 62, 2499, 63, 2499, 64, 2499, 65, 2499, 66, 2499, 67, 2499, 68, 2499, 69, 2499, 70, 2499, 71, 2499, 72, 2499, 73, 2499, 74, 2499, 75, 2499, 76, 2499, 77, 2499, 78, 2499, 79, 2499, 80, 2499, 81, 2499, 82, 2499, 83, 2499, 84, 2499, 85, 2499, 86, 2499, 87, 2499, 88, 2499, 89, 2499, 90, 2499, 91, 2499, 92, 2499, 93, 2499, 94, 2499, 95, 2499, 96, 2499, 97, 2499, 98, 2499, 99, 2499, 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{3, 2, 1, 0 }

{2, 1, 0, 3 }

Returns: {0, 1, 1, 2, 2, 3 }
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Returns: {0, 2, 0, 231, 0, 2143, 1, 2, 1, 9, 1, 12, 1, 28, 1, 61, 1, 69, 1, 231, 1, 464, 1, 750, 1, 2143, 2, 5, 2, 9, 2, 10, 2, 11, 2, 12, 2, 15, 2, 23, 2, 26, 2, 28, 2, 36, 2, 39, 2, 40, 2, 60, 2, 61, 2, 69, 2, 86, 2, 231, 2, 415, 2, 464, 2, 750, 3, 4, 3, 5, 3, 8, 3, 9, 3, 10, 3, 11, 3, 12, 3, 13, 3, 15, 3, 23, 3, 26, 3, 28, 3, 36, 3, 39, 3, 40, 3, 60, 3, 61, 3, 69, 3, 86, 3, 108, 3, 231, 3, 238, 3, 415, 3, 464, 3, 750, 3, 1051, 4, 5, 4, 7, 4, 8, 4, 9, 4, 10, 4, 11, 4, 12, 4, 13, 4, 15, 4, 23, 4, 24, 4, 26, 4, 28, 4, 32, 4, 36, 4, 39, 4, 40, 4, 43, 4, 60, 4, 61, 4, 69, 4, 86, 4, 108, 4, 231, 4, 238, 4, 350, 4, 415, 4, 458, 4, 464, 4, 750, 4, 1051, 4, 1130, 4, 2143, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 11, 5, 12, 5, 13, 5, 15, 5, 23, 5, 24, 5, 26, 5, 28, 5, 32, 5, 33, 5, 36, 5, 38, 5, 39, 5, 40, 5, 43, 5, 60, 5, 61, 5, 69, 5, 86, 5, 108, 5, 231, 5, 238, 5, 271, 5, 350, 5, 415, 5, 458, 5, 464, 5, 750, 5, 1051, 5, 1130, 5, 1227, 6, 7, 6, 8, 6, 9, 6, 10, 6, 11, 6, 12, 6, 13, 6, 15, 6, 17, 6, 23, 6, 24, 6, 26, 6, 28, 6, 30, 6, 32, 6, 33, 6, 34, 6, 36, 6, 38, 6, 39, 6, 40, 6, 43, 6, 59, 6, 60, 6, 61, 6, 69, 6, 82, 6, 86, 6, 108, 6, 140, 6, 231, 6, 238, 6, 271, 6, 350, 6, 415, 6, 458, 6, 464, 6, 495, 6, 750, 6, 1051, 6, 1130, 6, 1148, 6, 1227, 6, 2143, 7, 8, 7, 9, 7, 10, 7, 11, 7, 12, 7, 13, 7, 15, 7, 17, 7, 20, 7, 23, 7, 24, 7, 26, 7, 28, 7, 30, 7, 32, 7, 33, 7, 34, 7, 36, 7, 38, 7, 39, 7, 40, 7, 43, 7, 52, 7, 59, 7, 60, 7, 61, 7, 69, 7, 82, 7, 86, 7, 108, 7, 140, 7, 231, 7, 238, 7, 271, 7, 350, 7, 415, 7, 458, 7, 464, 7, 481, 7, 495, 7, 643, 7, 750, 7, 1051, 7, 1091, 7, 1130, 7, 1148, 7, 1227, 8, 9, 8, 10, 8, 11, 8, 12, 8, 13, 8, 14, 8, 15, 8, 17, 8, 20, 8, 23, 8, 24, 8, 26, 8, 28, 8, 30, 8, 32, 8, 33, 8, 34, 8, 36, 8, 38, 8, 39, 8, 40, 8, 43, 8, 52, 8, 54, 8, 59, 8, 60, 8, 61, 8, 69, 8, 82, 8, 86, 8, 108, 8, 140, 8, 231, 8, 238, 8, 254, 8, 271, 8, 350, 8, 415, 8, 458, 8, 464, 8, 481, 8, 495, 8, 643, 8, 718, 8, 750, 8, 1051, 8, 1091, 8, 1130, 8, 1148, 8, 1227, 8, 1240, 8, 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Statistics

Problem Statement for "MovingRooksDiv1"

Problem Statement

Definition

Notes

Constraints

Examples