permn: Generates all permutations of the elements of x
In combinat: combinatorics utilities
Description
Usage
Arguments
Value
References
See Also
Examples
Description
Generates all permutations of the elements of x, in a minimal-
change order. If x is a positive integer, returns all permutations
of the elements of seq(x). If argument "fun" is not null, applies
a function given by the argument to each point. "..." are passed
unchanged to the function given by argument fun, if any.
Usage
1
Arguments
x
vector
fun
if non.null, applied at each perm
...
args passed to fun
Value
list: each component is either a permutation, or the
results of applying fun to a permutation
References
Reingold, E.M., Nievergelt, J., Deo, N. (1977) Combinatorial
Algorithms: Theory and Practice. NJ: Prentice-Hall. pg. 170.
See Also
sample, fact, combn, hcube, xsimplex
Examples
1
2
3
4
5
6
7
8
9
# Convert output to a matrix of dim c(6, 720)
t(array(unlist(permn(6)), dim = c(6, gamma(7))))
# A check that every element occurs the same number of times in each
# position
apply(t(array(unlist(permn(6)), dim = c(6, gamma(7)))), 2, tabulate,
nbins = 6)
# Apply, on the fly, the diff function to every permutation
t(array(unlist(permn(6, diff)), dim = c(5, gamma(7))))
Example output
Attaching package: 'combinat'
The following object is masked from 'package:utils':
combn
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 1 2 3 4 5 6
[2,] 1 2 3 4 6 5
[3,] 1 2 3 6 4 5
[4,] 1 2 6 3 4 5
[5,] 1 6 2 3 4 5
[6,] 6 1 2 3 4 5
[7,] 6 1 2 3 5 4
[8,] 1 6 2 3 5 4
[9,] 1 2 6 3 5 4
[10,] 1 2 3 6 5 4
[11,] 1 2 3 5 6 4
[12,] 1 2 3 5 4 6
[13,] 1 2 5 3 4 6
[14,] 1 2 5 3 6 4
[15,] 1 2 5 6 3 4
[16,] 1 2 6 5 3 4
[17,] 1 6 2 5 3 4
[18,] 6 1 2 5 3 4
[19,] 6 1 5 2 3 4
[20,] 1 6 5 2 3 4
[21,] 1 5 6 2 3 4
[22,] 1 5 2 6 3 4
[23,] 1 5 2 3 6 4
[24,] 1 5 2 3 4 6
[25,] 5 1 2 3 4 6
[26,] 5 1 2 3 6 4
[27,] 5 1 2 6 3 4
[28,] 5 1 6 2 3 4
[29,] 5 6 1 2 3 4
[30,] 6 5 1 2 3 4
[31,] 6 5 1 2 4 3
[32,] 5 6 1 2 4 3
[33,] 5 1 6 2 4 3
[34,] 5 1 2 6 4 3
[35,] 5 1 2 4 6 3
[36,] 5 1 2 4 3 6
[37,] 1 5 2 4 3 6
[38,] 1 5 2 4 6 3
[39,] 1 5 2 6 4 3
[40,] 1 5 6 2 4 3
[41,] 1 6 5 2 4 3
[42,] 6 1 5 2 4 3
[43,] 6 1 2 5 4 3
[44,] 1 6 2 5 4 3
[45,] 1 2 6 5 4 3
[46,] 1 2 5 6 4 3
[47,] 1 2 5 4 6 3
[48,] 1 2 5 4 3 6
[49,] 1 2 4 5 3 6
[50,] 1 2 4 5 6 3
[51,] 1 2 4 6 5 3
[52,] 1 2 6 4 5 3
[53,] 1 6 2 4 5 3
[54,] 6 1 2 4 5 3
[55,] 6 1 2 4 3 5
[56,] 1 6 2 4 3 5
[57,] 1 2 6 4 3 5
[58,] 1 2 4 6 3 5
[59,] 1 2 4 3 6 5
[60,] 1 2 4 3 5 6
[61,] 1 4 2 3 5 6
[62,] 1 4 2 3 6 5
[63,] 1 4 2 6 3 5
[64,] 1 4 6 2 3 5
[65,] 1 6 4 2 3 5
[66,] 6 1 4 2 3 5
[67,] 6 1 4 2 5 3
[68,] 1 6 4 2 5 3
[69,] 1 4 6 2 5 3
[70,] 1 4 2 6 5 3
[71,] 1 4 2 5 6 3
[72,] 1 4 2 5 3 6
[73,] 1 4 5 2 3 6
[74,] 1 4 5 2 6 3
[75,] 1 4 5 6 2 3
[76,] 1 4 6 5 2 3
[77,] 1 6 4 5 2 3
[78,] 6 1 4 5 2 3
[79,] 6 1 5 4 2 3
[80,] 1 6 5 4 2 3
[81,] 1 5 6 4 2 3
[82,] 1 5 4 6 2 3
[83,] 1 5 4 2 6 3
[84,] 1 5 4 2 3 6
[85,] 5 1 4 2 3 6
[86,] 5 1 4 2 6 3
[87,] 5 1 4 6 2 3
[88,] 5 1 6 4 2 3
[89,] 5 6 1 4 2 3
[90,] 6 5 1 4 2 3
[91,] 6 5 4 1 2 3
[92,] 5 6 4 1 2 3
[93,] 5 4 6 1 2 3
[94,] 5 4 1 6 2 3
[95,] 5 4 1 2 6 3
[96,] 5 4 1 2 3 6
[97,] 4 5 1 2 3 6
[98,] 4 5 1 2 6 3
[99,] 4 5 1 6 2 3
[100,] 4 5 6 1 2 3
[101,] 4 6 5 1 2 3
[102,] 6 4 5 1 2 3
[103,] 6 4 1 5 2 3
[104,] 4 6 1 5 2 3
[105,] 4 1 6 5 2 3
[106,] 4 1 5 6 2 3
[107,] 4 1 5 2 6 3
[108,] 4 1 5 2 3 6
[109,] 4 1 2 5 3 6
[110,] 4 1 2 5 6 3
[111,] 4 1 2 6 5 3
[112,] 4 1 6 2 5 3
[113,] 4 6 1 2 5 3
[114,] 6 4 1 2 5 3
[115,] 6 4 1 2 3 5
[116,] 4 6 1 2 3 5
[117,] 4 1 6 2 3 5
[118,] 4 1 2 6 3 5
[119,] 4 1 2 3 6 5
[120,] 4 1 2 3 5 6
[121,] 4 1 3 2 5 6
[122,] 4 1 3 2 6 5
[123,] 4 1 3 6 2 5
[124,] 4 1 6 3 2 5
[125,] 4 6 1 3 2 5
[126,] 6 4 1 3 2 5
[127,] 6 4 1 3 5 2
[128,] 4 6 1 3 5 2
[129,] 4 1 6 3 5 2
[130,] 4 1 3 6 5 2
[131,] 4 1 3 5 6 2
[132,] 4 1 3 5 2 6
[133,] 4 1 5 3 2 6
[134,] 4 1 5 3 6 2
[135,] 4 1 5 6 3 2
[136,] 4 1 6 5 3 2
[137,] 4 6 1 5 3 2
[138,] 6 4 1 5 3 2
[139,] 6 4 5 1 3 2
[140,] 4 6 5 1 3 2
[141,] 4 5 6 1 3 2
[142,] 4 5 1 6 3 2
[143,] 4 5 1 3 6 2
[144,] 4 5 1 3 2 6
[145,] 5 4 1 3 2 6
[146,] 5 4 1 3 6 2
[147,] 5 4 1 6 3 2
[148,] 5 4 6 1 3 2
[149,] 5 6 4 1 3 2
[150,] 6 5 4 1 3 2
[151,] 6 5 1 4 3 2
[152,] 5 6 1 4 3 2
[153,] 5 1 6 4 3 2
[154,] 5 1 4 6 3 2
[155,] 5 1 4 3 6 2
[156,] 5 1 4 3 2 6
[157,] 1 5 4 3 2 6
[158,] 1 5 4 3 6 2
[159,] 1 5 4 6 3 2
[160,] 1 5 6 4 3 2
[161,] 1 6 5 4 3 2
[162,] 6 1 5 4 3 2
[163,] 6 1 4 5 3 2
[164,] 1 6 4 5 3 2
[165,] 1 4 6 5 3 2
[166,] 1 4 5 6 3 2
[167,] 1 4 5 3 6 2
[168,] 1 4 5 3 2 6
[169,] 1 4 3 5 2 6
[170,] 1 4 3 5 6 2
[171,] 1 4 3 6 5 2
[172,] 1 4 6 3 5 2
[173,] 1 6 4 3 5 2
[174,] 6 1 4 3 5 2
[175,] 6 1 4 3 2 5
[176,] 1 6 4 3 2 5
[177,] 1 4 6 3 2 5
[178,] 1 4 3 6 2 5
[179,] 1 4 3 2 6 5
[180,] 1 4 3 2 5 6
[181,] 1 3 4 2 5 6
[182,] 1 3 4 2 6 5
[183,] 1 3 4 6 2 5
[184,] 1 3 6 4 2 5
[185,] 1 6 3 4 2 5
[186,] 6 1 3 4 2 5
[187,] 6 1 3 4 5 2
[188,] 1 6 3 4 5 2
[189,] 1 3 6 4 5 2
[190,] 1 3 4 6 5 2
[191,] 1 3 4 5 6 2
[192,] 1 3 4 5 2 6
[193,] 1 3 5 4 2 6
[194,] 1 3 5 4 6 2
[195,] 1 3 5 6 4 2
[196,] 1 3 6 5 4 2
[197,] 1 6 3 5 4 2
[198,] 6 1 3 5 4 2
[199,] 6 1 5 3 4 2
[200,] 1 6 5 3 4 2
[201,] 1 5 6 3 4 2
[202,] 1 5 3 6 4 2
[203,] 1 5 3 4 6 2
[204,] 1 5 3 4 2 6
[205,] 5 1 3 4 2 6
[206,] 5 1 3 4 6 2
[207,] 5 1 3 6 4 2
[208,] 5 1 6 3 4 2
[209,] 5 6 1 3 4 2
[210,] 6 5 1 3 4 2
[211,] 6 5 1 3 2 4
[212,] 5 6 1 3 2 4
[213,] 5 1 6 3 2 4
[214,] 5 1 3 6 2 4
[215,] 5 1 3 2 6 4
[216,] 5 1 3 2 4 6
[217,] 1 5 3 2 4 6
[218,] 1 5 3 2 6 4
[219,] 1 5 3 6 2 4
[220,] 1 5 6 3 2 4
[221,] 1 6 5 3 2 4
[222,] 6 1 5 3 2 4
[223,] 6 1 3 5 2 4
[224,] 1 6 3 5 2 4
[225,] 1 3 6 5 2 4
[226,] 1 3 5 6 2 4
[227,] 1 3 5 2 6 4
[228,] 1 3 5 2 4 6
[229,] 1 3 2 5 4 6
[230,] 1 3 2 5 6 4
[231,] 1 3 2 6 5 4
[232,] 1 3 6 2 5 4
[233,] 1 6 3 2 5 4
[234,] 6 1 3 2 5 4
[235,] 6 1 3 2 4 5
[236,] 1 6 3 2 4 5
[237,] 1 3 6 2 4 5
[238,] 1 3 2 6 4 5
[239,] 1 3 2 4 6 5
[240,] 1 3 2 4 5 6
[241,] 3 1 2 4 5 6
[242,] 3 1 2 4 6 5
[243,] 3 1 2 6 4 5
[244,] 3 1 6 2 4 5
[245,] 3 6 1 2 4 5
[246,] 6 3 1 2 4 5
[247,] 6 3 1 2 5 4
[248,] 3 6 1 2 5 4
[249,] 3 1 6 2 5 4
[250,] 3 1 2 6 5 4
[251,] 3 1 2 5 6 4
[252,] 3 1 2 5 4 6
[253,] 3 1 5 2 4 6
[254,] 3 1 5 2 6 4
[255,] 3 1 5 6 2 4
[256,] 3 1 6 5 2 4
[257,] 3 6 1 5 2 4
[258,] 6 3 1 5 2 4
[259,] 6 3 5 1 2 4
[260,] 3 6 5 1 2 4
[261,] 3 5 6 1 2 4
[262,] 3 5 1 6 2 4
[263,] 3 5 1 2 6 4
[264,] 3 5 1 2 4 6
[265,] 5 3 1 2 4 6
[266,] 5 3 1 2 6 4
[267,] 5 3 1 6 2 4
[268,] 5 3 6 1 2 4
[269,] 5 6 3 1 2 4
[270,] 6 5 3 1 2 4
[271,] 6 5 3 1 4 2
[272,] 5 6 3 1 4 2
[273,] 5 3 6 1 4 2
[274,] 5 3 1 6 4 2
[275,] 5 3 1 4 6 2
[276,] 5 3 1 4 2 6
[277,] 3 5 1 4 2 6
[278,] 3 5 1 4 6 2
[279,] 3 5 1 6 4 2
[280,] 3 5 6 1 4 2
[281,] 3 6 5 1 4 2
[282,] 6 3 5 1 4 2
[283,] 6 3 1 5 4 2
[284,] 3 6 1 5 4 2
[285,] 3 1 6 5 4 2
[286,] 3 1 5 6 4 2
[287,] 3 1 5 4 6 2
[288,] 3 1 5 4 2 6
[289,] 3 1 4 5 2 6
[290,] 3 1 4 5 6 2
[291,] 3 1 4 6 5 2
[292,] 3 1 6 4 5 2
[293,] 3 6 1 4 5 2
[294,] 6 3 1 4 5 2
[295,] 6 3 1 4 2 5
[296,] 3 6 1 4 2 5
[297,] 3 1 6 4 2 5
[298,] 3 1 4 6 2 5
[299,] 3 1 4 2 6 5
[300,] 3 1 4 2 5 6
[301,] 3 4 1 2 5 6
[302,] 3 4 1 2 6 5
[303,] 3 4 1 6 2 5
[304,] 3 4 6 1 2 5
[305,] 3 6 4 1 2 5
[306,] 6 3 4 1 2 5
[307,] 6 3 4 1 5 2
[308,] 3 6 4 1 5 2
[309,] 3 4 6 1 5 2
[310,] 3 4 1 6 5 2
[311,] 3 4 1 5 6 2
[312,] 3 4 1 5 2 6
[313,] 3 4 5 1 2 6
[314,] 3 4 5 1 6 2
[315,] 3 4 5 6 1 2
[316,] 3 4 6 5 1 2
[317,] 3 6 4 5 1 2
[318,] 6 3 4 5 1 2
[319,] 6 3 5 4 1 2
[320,] 3 6 5 4 1 2
[321,] 3 5 6 4 1 2
[322,] 3 5 4 6 1 2
[323,] 3 5 4 1 6 2
[324,] 3 5 4 1 2 6
[325,] 5 3 4 1 2 6
[326,] 5 3 4 1 6 2
[327,] 5 3 4 6 1 2
[328,] 5 3 6 4 1 2
[329,] 5 6 3 4 1 2
[330,] 6 5 3 4 1 2
[331,] 6 5 4 3 1 2
[332,] 5 6 4 3 1 2
[333,] 5 4 6 3 1 2
[334,] 5 4 3 6 1 2
[335,] 5 4 3 1 6 2
[336,] 5 4 3 1 2 6
[337,] 4 5 3 1 2 6
[338,] 4 5 3 1 6 2
[339,] 4 5 3 6 1 2
[340,] 4 5 6 3 1 2
[341,] 4 6 5 3 1 2
[342,] 6 4 5 3 1 2
[343,] 6 4 3 5 1 2
[344,] 4 6 3 5 1 2
[345,] 4 3 6 5 1 2
[346,] 4 3 5 6 1 2
[347,] 4 3 5 1 6 2
[348,] 4 3 5 1 2 6
[349,] 4 3 1 5 2 6
[350,] 4 3 1 5 6 2
[351,] 4 3 1 6 5 2
[352,] 4 3 6 1 5 2
[353,] 4 6 3 1 5 2
[354,] 6 4 3 1 5 2
[355,] 6 4 3 1 2 5
[356,] 4 6 3 1 2 5
[357,] 4 3 6 1 2 5
[358,] 4 3 1 6 2 5
[359,] 4 3 1 2 6 5
[360,] 4 3 1 2 5 6
[361,] 4 3 2 1 5 6
[362,] 4 3 2 1 6 5
[363,] 4 3 2 6 1 5
[364,] 4 3 6 2 1 5
[365,] 4 6 3 2 1 5
[366,] 6 4 3 2 1 5
[367,] 6 4 3 2 5 1
[368,] 4 6 3 2 5 1
[369,] 4 3 6 2 5 1
[370,] 4 3 2 6 5 1
[371,] 4 3 2 5 6 1
[372,] 4 3 2 5 1 6
[373,] 4 3 5 2 1 6
[374,] 4 3 5 2 6 1
[375,] 4 3 5 6 2 1
[376,] 4 3 6 5 2 1
[377,] 4 6 3 5 2 1
[378,] 6 4 3 5 2 1
[379,] 6 4 5 3 2 1
[380,] 4 6 5 3 2 1
[381,] 4 5 6 3 2 1
[382,] 4 5 3 6 2 1
[383,] 4 5 3 2 6 1
[384,] 4 5 3 2 1 6
[385,] 5 4 3 2 1 6
[386,] 5 4 3 2 6 1
[387,] 5 4 3 6 2 1
[388,] 5 4 6 3 2 1
[389,] 5 6 4 3 2 1
[390,] 6 5 4 3 2 1
[391,] 6 5 3 4 2 1
[392,] 5 6 3 4 2 1
[393,] 5 3 6 4 2 1
[394,] 5 3 4 6 2 1
[395,] 5 3 4 2 6 1
[396,] 5 3 4 2 1 6
[397,] 3 5 4 2 1 6
[398,] 3 5 4 2 6 1
[399,] 3 5 4 6 2 1
[400,] 3 5 6 4 2 1
[401,] 3 6 5 4 2 1
[402,] 6 3 5 4 2 1
[403,] 6 3 4 5 2 1
[404,] 3 6 4 5 2 1
[405,] 3 4 6 5 2 1
[406,] 3 4 5 6 2 1
[407,] 3 4 5 2 6 1
[408,] 3 4 5 2 1 6
[409,] 3 4 2 5 1 6
[410,] 3 4 2 5 6 1
[411,] 3 4 2 6 5 1
[412,] 3 4 6 2 5 1
[413,] 3 6 4 2 5 1
[414,] 6 3 4 2 5 1
[415,] 6 3 4 2 1 5
[416,] 3 6 4 2 1 5
[417,] 3 4 6 2 1 5
[418,] 3 4 2 6 1 5
[419,] 3 4 2 1 6 5
[420,] 3 4 2 1 5 6
[421,] 3 2 4 1 5 6
[422,] 3 2 4 1 6 5
[423,] 3 2 4 6 1 5
[424,] 3 2 6 4 1 5
[425,] 3 6 2 4 1 5
[426,] 6 3 2 4 1 5
[427,] 6 3 2 4 5 1
[428,] 3 6 2 4 5 1
[429,] 3 2 6 4 5 1
[430,] 3 2 4 6 5 1
[431,] 3 2 4 5 6 1
[432,] 3 2 4 5 1 6
[433,] 3 2 5 4 1 6
[434,] 3 2 5 4 6 1
[435,] 3 2 5 6 4 1
[436,] 3 2 6 5 4 1
[437,] 3 6 2 5 4 1
[438,] 6 3 2 5 4 1
[439,] 6 3 5 2 4 1
[440,] 3 6 5 2 4 1
[441,] 3 5 6 2 4 1
[442,] 3 5 2 6 4 1
[443,] 3 5 2 4 6 1
[444,] 3 5 2 4 1 6
[445,] 5 3 2 4 1 6
[446,] 5 3 2 4 6 1
[447,] 5 3 2 6 4 1
[448,] 5 3 6 2 4 1
[449,] 5 6 3 2 4 1
[450,] 6 5 3 2 4 1
[451,] 6 5 3 2 1 4
[452,] 5 6 3 2 1 4
[453,] 5 3 6 2 1 4
[454,] 5 3 2 6 1 4
[455,] 5 3 2 1 6 4
[456,] 5 3 2 1 4 6
[457,] 3 5 2 1 4 6
[458,] 3 5 2 1 6 4
[459,] 3 5 2 6 1 4
[460,] 3 5 6 2 1 4
[461,] 3 6 5 2 1 4
[462,] 6 3 5 2 1 4
[463,] 6 3 2 5 1 4
[464,] 3 6 2 5 1 4
[465,] 3 2 6 5 1 4
[466,] 3 2 5 6 1 4
[467,] 3 2 5 1 6 4
[468,] 3 2 5 1 4 6
[469,] 3 2 1 5 4 6
[470,] 3 2 1 5 6 4
[471,] 3 2 1 6 5 4
[472,] 3 2 6 1 5 4
[473,] 3 6 2 1 5 4
[474,] 6 3 2 1 5 4
[475,] 6 3 2 1 4 5
[476,] 3 6 2 1 4 5
[477,] 3 2 6 1 4 5
[478,] 3 2 1 6 4 5
[479,] 3 2 1 4 6 5
[480,] 3 2 1 4 5 6
[481,] 2 3 1 4 5 6
[482,] 2 3 1 4 6 5
[483,] 2 3 1 6 4 5
[484,] 2 3 6 1 4 5
[485,] 2 6 3 1 4 5
[486,] 6 2 3 1 4 5
[487,] 6 2 3 1 5 4
[488,] 2 6 3 1 5 4
[489,] 2 3 6 1 5 4
[490,] 2 3 1 6 5 4
[491,] 2 3 1 5 6 4
[492,] 2 3 1 5 4 6
[493,] 2 3 5 1 4 6
[494,] 2 3 5 1 6 4
[495,] 2 3 5 6 1 4
[496,] 2 3 6 5 1 4
[497,] 2 6 3 5 1 4
[498,] 6 2 3 5 1 4
[499,] 6 2 5 3 1 4
[500,] 2 6 5 3 1 4
[501,] 2 5 6 3 1 4
[502,] 2 5 3 6 1 4
[503,] 2 5 3 1 6 4
[504,] 2 5 3 1 4 6
[505,] 5 2 3 1 4 6
[506,] 5 2 3 1 6 4
[507,] 5 2 3 6 1 4
[508,] 5 2 6 3 1 4
[509,] 5 6 2 3 1 4
[510,] 6 5 2 3 1 4
[511,] 6 5 2 3 4 1
[512,] 5 6 2 3 4 1
[513,] 5 2 6 3 4 1
[514,] 5 2 3 6 4 1
[515,] 5 2 3 4 6 1
[516,] 5 2 3 4 1 6
[517,] 2 5 3 4 1 6
[518,] 2 5 3 4 6 1
[519,] 2 5 3 6 4 1
[520,] 2 5 6 3 4 1
[521,] 2 6 5 3 4 1
[522,] 6 2 5 3 4 1
[523,] 6 2 3 5 4 1
[524,] 2 6 3 5 4 1
[525,] 2 3 6 5 4 1
[526,] 2 3 5 6 4 1
[527,] 2 3 5 4 6 1
[528,] 2 3 5 4 1 6
[529,] 2 3 4 5 1 6
[530,] 2 3 4 5 6 1
[531,] 2 3 4 6 5 1
[532,] 2 3 6 4 5 1
[533,] 2 6 3 4 5 1
[534,] 6 2 3 4 5 1
[535,] 6 2 3 4 1 5
[536,] 2 6 3 4 1 5
[537,] 2 3 6 4 1 5
[538,] 2 3 4 6 1 5
[539,] 2 3 4 1 6 5
[540,] 2 3 4 1 5 6
[541,] 2 4 3 1 5 6
[542,] 2 4 3 1 6 5
[543,] 2 4 3 6 1 5
[544,] 2 4 6 3 1 5
[545,] 2 6 4 3 1 5
[546,] 6 2 4 3 1 5
[547,] 6 2 4 3 5 1
[548,] 2 6 4 3 5 1
[549,] 2 4 6 3 5 1
[550,] 2 4 3 6 5 1
[551,] 2 4 3 5 6 1
[552,] 2 4 3 5 1 6
[553,] 2 4 5 3 1 6
[554,] 2 4 5 3 6 1
[555,] 2 4 5 6 3 1
[556,] 2 4 6 5 3 1
[557,] 2 6 4 5 3 1
[558,] 6 2 4 5 3 1
[559,] 6 2 5 4 3 1
[560,] 2 6 5 4 3 1
[561,] 2 5 6 4 3 1
[562,] 2 5 4 6 3 1
[563,] 2 5 4 3 6 1
[564,] 2 5 4 3 1 6
[565,] 5 2 4 3 1 6
[566,] 5 2 4 3 6 1
[567,] 5 2 4 6 3 1
[568,] 5 2 6 4 3 1
[569,] 5 6 2 4 3 1
[570,] 6 5 2 4 3 1
[571,] 6 5 4 2 3 1
[572,] 5 6 4 2 3 1
[573,] 5 4 6 2 3 1
[574,] 5 4 2 6 3 1
[575,] 5 4 2 3 6 1
[576,] 5 4 2 3 1 6
[577,] 4 5 2 3 1 6
[578,] 4 5 2 3 6 1
[579,] 4 5 2 6 3 1
[580,] 4 5 6 2 3 1
[581,] 4 6 5 2 3 1
[582,] 6 4 5 2 3 1
[583,] 6 4 2 5 3 1
[584,] 4 6 2 5 3 1
[585,] 4 2 6 5 3 1
[586,] 4 2 5 6 3 1
[587,] 4 2 5 3 6 1
[588,] 4 2 5 3 1 6
[589,] 4 2 3 5 1 6
[590,] 4 2 3 5 6 1
[591,] 4 2 3 6 5 1
[592,] 4 2 6 3 5 1
[593,] 4 6 2 3 5 1
[594,] 6 4 2 3 5 1
[595,] 6 4 2 3 1 5
[596,] 4 6 2 3 1 5
[597,] 4 2 6 3 1 5
[598,] 4 2 3 6 1 5
[599,] 4 2 3 1 6 5
[600,] 4 2 3 1 5 6
[601,] 4 2 1 3 5 6
[602,] 4 2 1 3 6 5
[603,] 4 2 1 6 3 5
[604,] 4 2 6 1 3 5
[605,] 4 6 2 1 3 5
[606,] 6 4 2 1 3 5
[607,] 6 4 2 1 5 3
[608,] 4 6 2 1 5 3
[609,] 4 2 6 1 5 3
[610,] 4 2 1 6 5 3
[611,] 4 2 1 5 6 3
[612,] 4 2 1 5 3 6
[613,] 4 2 5 1 3 6
[614,] 4 2 5 1 6 3
[615,] 4 2 5 6 1 3
[616,] 4 2 6 5 1 3
[617,] 4 6 2 5 1 3
[618,] 6 4 2 5 1 3
[619,] 6 4 5 2 1 3
[620,] 4 6 5 2 1 3
[621,] 4 5 6 2 1 3
[622,] 4 5 2 6 1 3
[623,] 4 5 2 1 6 3
[624,] 4 5 2 1 3 6
[625,] 5 4 2 1 3 6
[626,] 5 4 2 1 6 3
[627,] 5 4 2 6 1 3
[628,] 5 4 6 2 1 3
[629,] 5 6 4 2 1 3
[630,] 6 5 4 2 1 3
[631,] 6 5 2 4 1 3
[632,] 5 6 2 4 1 3
[633,] 5 2 6 4 1 3
[634,] 5 2 4 6 1 3
[635,] 5 2 4 1 6 3
[636,] 5 2 4 1 3 6
[637,] 2 5 4 1 3 6
[638,] 2 5 4 1 6 3
[639,] 2 5 4 6 1 3
[640,] 2 5 6 4 1 3
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[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 120 120 120 120 120 120
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[524,] 4 -3 2 -1 -3
[525,] 1 3 -1 -1 -3
[526,] 1 2 1 -2 -3
[527,] 1 2 -1 2 -5
[528,] 1 2 -1 -3 5
[529,] 1 1 1 -4 5
[530,] 1 1 1 1 -5
[531,] 1 1 2 -1 -4
[532,] 1 3 -2 1 -4
[533,] 4 -3 1 1 -4
[534,] -4 1 1 1 -4
[535,] -4 1 1 -3 4
[536,] 4 -3 1 -3 4
[537,] 1 3 -2 -3 4
[538,] 1 1 2 -5 4
[539,] 1 1 -3 5 -1
[540,] 1 1 -3 4 1
[541,] 2 -1 -2 4 1
[542,] 2 -1 -2 5 -1
[543,] 2 -1 3 -5 4
[544,] 2 2 -3 -2 4
[545,] 4 -2 -1 -2 4
[546,] -4 2 -1 -2 4
[547,] -4 2 -1 2 -4
[548,] 4 -2 -1 2 -4
[549,] 2 2 -3 2 -4
[550,] 2 -1 3 -1 -4
[551,] 2 -1 2 1 -5
[552,] 2 -1 2 -4 5
[553,] 2 1 -2 -2 5
[554,] 2 1 -2 3 -5
[555,] 2 1 1 -3 -2
[556,] 2 2 -1 -2 -2
[557,] 4 -2 1 -2 -2
[558,] -4 2 1 -2 -2
[559,] -4 3 -1 -1 -2
[560,] 4 -1 -1 -1 -2
[561,] 3 1 -2 -1 -2
[562,] 3 -1 2 -3 -2
[563,] 3 -1 -1 3 -5
[564,] 3 -1 -1 -2 5
[565,] -3 2 -1 -2 5
[566,] -3 2 -1 3 -5
[567,] -3 2 2 -3 -2
[568,] -3 4 -2 -1 -2
[569,] 1 -4 2 -1 -2
[570,] -1 -3 2 -1 -2
[571,] -1 -1 -2 1 -2
[572,] 1 -2 -2 1 -2
[573,] -1 2 -4 1 -2
[574,] -1 -2 4 -3 -2
[575,] -1 -2 1 3 -5
[576,] -1 -2 1 -2 5
[577,] 1 -3 1 -2 5
[578,] 1 -3 1 3 -5
[579,] 1 -3 4 -3 -2
[580,] 1 1 -4 1 -2
[581,] 2 -1 -3 1 -2
[582,] -2 1 -3 1 -2
[583,] -2 -2 3 -2 -2
[584,] 2 -4 3 -2 -2
[585,] -2 4 -1 -2 -2
[586,] -2 3 1 -3 -2
[587,] -2 3 -2 3 -5
[588,] -2 3 -2 -2 5
[589,] -2 1 2 -4 5
[590,] -2 1 2 1 -5
[591,] -2 1 3 -1 -4
[592,] -2 4 -3 2 -4
[593,] 2 -4 1 2 -4
[594,] -2 -2 1 2 -4
[595,] -2 -2 1 -2 4
[596,] 2 -4 1 -2 4
[597,] -2 4 -3 -2 4
[598,] -2 1 3 -5 4
[599,] -2 1 -2 5 -1
[600,] -2 1 -2 4 1
[601,] -2 -1 2 2 1
[602,] -2 -1 2 3 -1
[603,] -2 -1 5 -3 2
[604,] -2 4 -5 2 2
[605,] 2 -4 -1 2 2
[606,] -2 -2 -1 2 2
[607,] -2 -2 -1 4 -2
[608,] 2 -4 -1 4 -2
[609,] -2 4 -5 4 -2
[610,] -2 -1 5 -1 -2
[611,] -2 -1 4 1 -3
[612,] -2 -1 4 -2 3
[613,] -2 3 -4 2 3
[614,] -2 3 -4 5 -3
[615,] -2 3 1 -5 2
[616,] -2 4 -1 -4 2
[617,] 2 -4 3 -4 2
[618,] -2 -2 3 -4 2
[619,] -2 1 -3 -1 2
[620,] 2 -1 -3 -1 2
[621,] 1 1 -4 -1 2
[622,] 1 -3 4 -5 2
[623,] 1 -3 -1 5 -3
[624,] 1 -3 -1 2 3
[625,] -1 -2 -1 2 3
[626,] -1 -2 -1 5 -3
[627,] -1 -2 4 -5 2
[628,] -1 2 -4 -1 2
[629,] 1 -2 -2 -1 2
[630,] -1 -1 -2 -1 2
[631,] -1 -3 2 -3 2
[632,] 1 -4 2 -3 2
[633,] -3 4 -2 -3 2
[634,] -3 2 2 -5 2
[635,] -3 2 -3 5 -3
[636,] -3 2 -3 2 3
[637,] 3 -1 -3 2 3
[638,] 3 -1 -3 5 -3
[639,] 3 -1 2 -5 2
[640,] 3 1 -2 -3 2
[641,] 4 -1 -1 -3 2
[642,] -4 3 -1 -3 2
[643,] -4 2 1 -4 2
[644,] 4 -2 1 -4 2
[645,] 2 2 -1 -4 2
[646,] 2 1 1 -5 2
[647,] 2 1 -4 5 -3
[648,] 2 1 -4 2 3
[649,] 2 -3 4 -2 3
[650,] 2 -3 4 1 -3
[651,] 2 -3 5 -1 -2
[652,] 2 2 -5 4 -2
[653,] 4 -2 -3 4 -2
[654,] -4 2 -3 4 -2
[655,] -4 2 -3 2 2
[656,] 4 -2 -3 2 2
[657,] 2 2 -5 2 2
[658,] 2 -3 5 -3 2
[659,] 2 -3 2 3 -1
[660,] 2 -3 2 2 1
[661,] -1 3 -1 2 1
[662,] -1 3 -1 3 -1
[663,] -1 3 2 -3 2
[664,] -1 5 -2 -1 2
[665,] 4 -5 3 -1 2
[666,] -4 -1 3 -1 2
[667,] -4 -1 3 1 -2
[668,] 4 -5 3 1 -2
[669,] -1 5 -2 1 -2
[670,] -1 3 2 -1 -2
[671,] -1 3 1 1 -3
[672,] -1 3 1 -2 3
[673,] -1 4 -1 -1 3
[674,] -1 4 -1 2 -3
[675,] -1 4 1 -2 -1
[676,] -1 5 -1 -1 -1
[677,] 4 -5 4 -1 -1
[678,] -4 -1 4 -1 -1
[679,] -4 3 -4 3 -1
[680,] 4 -1 -4 3 -1
[681,] 3 1 -5 3 -1
[682,] 3 -4 5 -2 -1
[683,] 3 -4 3 2 -3
[684,] 3 -4 3 -1 3
[685,] -3 -1 3 -1 3
[686,] -3 -1 3 2 -3
[687,] -3 -1 5 -2 -1
[688,] -3 4 -5 3 -1
[689,] 1 -4 -1 3 -1
[690,] -1 -3 -1 3 -1
[691,] -1 -3 -1 2 1
[692,] 1 -4 -1 2 1
[693,] -3 4 -5 2 1
[694,] -3 -1 5 -3 1
[695,] -3 -1 2 3 -2
[696,] -3 -1 2 1 2
[697,] 3 -4 2 1 2
[698,] 3 -4 2 3 -2
[699,] 3 -4 5 -3 1
[700,] 3 1 -5 2 1
[701,] 4 -1 -4 2 1
[702,] -4 3 -4 2 1
[703,] -4 -1 4 -2 1
[704,] 4 -5 4 -2 1
[705,] -1 5 -1 -2 1
[706,] -1 4 1 -3 1
[707,] -1 4 -2 3 -2
[708,] -1 4 -2 1 2
[709,] -1 2 2 -1 2
[710,] -1 2 2 1 -2
[711,] -1 2 3 -1 -1
[712,] -1 5 -3 2 -1
[713,] 4 -5 2 2 -1
[714,] -4 -1 2 2 -1
[715,] -4 -1 2 1 1
[716,] 4 -5 2 1 1
[717,] -1 5 -3 1 1
[718,] -1 2 3 -2 1
[719,] -1 2 1 2 -1
[720,] -1 2 1 1 1
combinat documentation built on May 2, 2019, 5:57 a.m.
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Description Usage Arguments Value References See Also Examples
Description
Generates all permutations of the elements of x, in a minimal- change order. If x is a positive integer, returns all permutations of the elements of seq(x). If argument "fun" is not null, applies a function given by the argument to each point. "..." are passed unchanged to the function given by argument fun, if any.
Usage
1 |
Arguments
x |
vector |
fun |
if non.null, applied at each perm |
... |
args passed to fun |
Value
list: each component is either a permutation, or the results of applying fun to a permutation
References
Reingold, E.M., Nievergelt, J., Deo, N. (1977) Combinatorial Algorithms: Theory and Practice. NJ: Prentice-Hall. pg. 170.
See Also
sample, fact, combn, hcube, xsimplex
Examples
1 2 3 4 5 6 7 8 9 | # Convert output to a matrix of dim c(6, 720)
t(array(unlist(permn(6)), dim = c(6, gamma(7))))
# A check that every element occurs the same number of times in each
# position
apply(t(array(unlist(permn(6)), dim = c(6, gamma(7)))), 2, tabulate,
nbins = 6)
# Apply, on the fly, the diff function to every permutation
t(array(unlist(permn(6, diff)), dim = c(5, gamma(7))))
|
Example output
Attaching package: 'combinat'
The following object is masked from 'package:utils':
combn
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 1 2 3 4 5 6
[2,] 1 2 3 4 6 5
[3,] 1 2 3 6 4 5
[4,] 1 2 6 3 4 5
[5,] 1 6 2 3 4 5
[6,] 6 1 2 3 4 5
[7,] 6 1 2 3 5 4
[8,] 1 6 2 3 5 4
[9,] 1 2 6 3 5 4
[10,] 1 2 3 6 5 4
[11,] 1 2 3 5 6 4
[12,] 1 2 3 5 4 6
[13,] 1 2 5 3 4 6
[14,] 1 2 5 3 6 4
[15,] 1 2 5 6 3 4
[16,] 1 2 6 5 3 4
[17,] 1 6 2 5 3 4
[18,] 6 1 2 5 3 4
[19,] 6 1 5 2 3 4
[20,] 1 6 5 2 3 4
[21,] 1 5 6 2 3 4
[22,] 1 5 2 6 3 4
[23,] 1 5 2 3 6 4
[24,] 1 5 2 3 4 6
[25,] 5 1 2 3 4 6
[26,] 5 1 2 3 6 4
[27,] 5 1 2 6 3 4
[28,] 5 1 6 2 3 4
[29,] 5 6 1 2 3 4
[30,] 6 5 1 2 3 4
[31,] 6 5 1 2 4 3
[32,] 5 6 1 2 4 3
[33,] 5 1 6 2 4 3
[34,] 5 1 2 6 4 3
[35,] 5 1 2 4 6 3
[36,] 5 1 2 4 3 6
[37,] 1 5 2 4 3 6
[38,] 1 5 2 4 6 3
[39,] 1 5 2 6 4 3
[40,] 1 5 6 2 4 3
[41,] 1 6 5 2 4 3
[42,] 6 1 5 2 4 3
[43,] 6 1 2 5 4 3
[44,] 1 6 2 5 4 3
[45,] 1 2 6 5 4 3
[46,] 1 2 5 6 4 3
[47,] 1 2 5 4 6 3
[48,] 1 2 5 4 3 6
[49,] 1 2 4 5 3 6
[50,] 1 2 4 5 6 3
[51,] 1 2 4 6 5 3
[52,] 1 2 6 4 5 3
[53,] 1 6 2 4 5 3
[54,] 6 1 2 4 5 3
[55,] 6 1 2 4 3 5
[56,] 1 6 2 4 3 5
[57,] 1 2 6 4 3 5
[58,] 1 2 4 6 3 5
[59,] 1 2 4 3 6 5
[60,] 1 2 4 3 5 6
[61,] 1 4 2 3 5 6
[62,] 1 4 2 3 6 5
[63,] 1 4 2 6 3 5
[64,] 1 4 6 2 3 5
[65,] 1 6 4 2 3 5
[66,] 6 1 4 2 3 5
[67,] 6 1 4 2 5 3
[68,] 1 6 4 2 5 3
[69,] 1 4 6 2 5 3
[70,] 1 4 2 6 5 3
[71,] 1 4 2 5 6 3
[72,] 1 4 2 5 3 6
[73,] 1 4 5 2 3 6
[74,] 1 4 5 2 6 3
[75,] 1 4 5 6 2 3
[76,] 1 4 6 5 2 3
[77,] 1 6 4 5 2 3
[78,] 6 1 4 5 2 3
[79,] 6 1 5 4 2 3
[80,] 1 6 5 4 2 3
[81,] 1 5 6 4 2 3
[82,] 1 5 4 6 2 3
[83,] 1 5 4 2 6 3
[84,] 1 5 4 2 3 6
[85,] 5 1 4 2 3 6
[86,] 5 1 4 2 6 3
[87,] 5 1 4 6 2 3
[88,] 5 1 6 4 2 3
[89,] 5 6 1 4 2 3
[90,] 6 5 1 4 2 3
[91,] 6 5 4 1 2 3
[92,] 5 6 4 1 2 3
[93,] 5 4 6 1 2 3
[94,] 5 4 1 6 2 3
[95,] 5 4 1 2 6 3
[96,] 5 4 1 2 3 6
[97,] 4 5 1 2 3 6
[98,] 4 5 1 2 6 3
[99,] 4 5 1 6 2 3
[100,] 4 5 6 1 2 3
[101,] 4 6 5 1 2 3
[102,] 6 4 5 1 2 3
[103,] 6 4 1 5 2 3
[104,] 4 6 1 5 2 3
[105,] 4 1 6 5 2 3
[106,] 4 1 5 6 2 3
[107,] 4 1 5 2 6 3
[108,] 4 1 5 2 3 6
[109,] 4 1 2 5 3 6
[110,] 4 1 2 5 6 3
[111,] 4 1 2 6 5 3
[112,] 4 1 6 2 5 3
[113,] 4 6 1 2 5 3
[114,] 6 4 1 2 5 3
[115,] 6 4 1 2 3 5
[116,] 4 6 1 2 3 5
[117,] 4 1 6 2 3 5
[118,] 4 1 2 6 3 5
[119,] 4 1 2 3 6 5
[120,] 4 1 2 3 5 6
[121,] 4 1 3 2 5 6
[122,] 4 1 3 2 6 5
[123,] 4 1 3 6 2 5
[124,] 4 1 6 3 2 5
[125,] 4 6 1 3 2 5
[126,] 6 4 1 3 2 5
[127,] 6 4 1 3 5 2
[128,] 4 6 1 3 5 2
[129,] 4 1 6 3 5 2
[130,] 4 1 3 6 5 2
[131,] 4 1 3 5 6 2
[132,] 4 1 3 5 2 6
[133,] 4 1 5 3 2 6
[134,] 4 1 5 3 6 2
[135,] 4 1 5 6 3 2
[136,] 4 1 6 5 3 2
[137,] 4 6 1 5 3 2
[138,] 6 4 1 5 3 2
[139,] 6 4 5 1 3 2
[140,] 4 6 5 1 3 2
[141,] 4 5 6 1 3 2
[142,] 4 5 1 6 3 2
[143,] 4 5 1 3 6 2
[144,] 4 5 1 3 2 6
[145,] 5 4 1 3 2 6
[146,] 5 4 1 3 6 2
[147,] 5 4 1 6 3 2
[148,] 5 4 6 1 3 2
[149,] 5 6 4 1 3 2
[150,] 6 5 4 1 3 2
[151,] 6 5 1 4 3 2
[152,] 5 6 1 4 3 2
[153,] 5 1 6 4 3 2
[154,] 5 1 4 6 3 2
[155,] 5 1 4 3 6 2
[156,] 5 1 4 3 2 6
[157,] 1 5 4 3 2 6
[158,] 1 5 4 3 6 2
[159,] 1 5 4 6 3 2
[160,] 1 5 6 4 3 2
[161,] 1 6 5 4 3 2
[162,] 6 1 5 4 3 2
[163,] 6 1 4 5 3 2
[164,] 1 6 4 5 3 2
[165,] 1 4 6 5 3 2
[166,] 1 4 5 6 3 2
[167,] 1 4 5 3 6 2
[168,] 1 4 5 3 2 6
[169,] 1 4 3 5 2 6
[170,] 1 4 3 5 6 2
[171,] 1 4 3 6 5 2
[172,] 1 4 6 3 5 2
[173,] 1 6 4 3 5 2
[174,] 6 1 4 3 5 2
[175,] 6 1 4 3 2 5
[176,] 1 6 4 3 2 5
[177,] 1 4 6 3 2 5
[178,] 1 4 3 6 2 5
[179,] 1 4 3 2 6 5
[180,] 1 4 3 2 5 6
[181,] 1 3 4 2 5 6
[182,] 1 3 4 2 6 5
[183,] 1 3 4 6 2 5
[184,] 1 3 6 4 2 5
[185,] 1 6 3 4 2 5
[186,] 6 1 3 4 2 5
[187,] 6 1 3 4 5 2
[188,] 1 6 3 4 5 2
[189,] 1 3 6 4 5 2
[190,] 1 3 4 6 5 2
[191,] 1 3 4 5 6 2
[192,] 1 3 4 5 2 6
[193,] 1 3 5 4 2 6
[194,] 1 3 5 4 6 2
[195,] 1 3 5 6 4 2
[196,] 1 3 6 5 4 2
[197,] 1 6 3 5 4 2
[198,] 6 1 3 5 4 2
[199,] 6 1 5 3 4 2
[200,] 1 6 5 3 4 2
[201,] 1 5 6 3 4 2
[202,] 1 5 3 6 4 2
[203,] 1 5 3 4 6 2
[204,] 1 5 3 4 2 6
[205,] 5 1 3 4 2 6
[206,] 5 1 3 4 6 2
[207,] 5 1 3 6 4 2
[208,] 5 1 6 3 4 2
[209,] 5 6 1 3 4 2
[210,] 6 5 1 3 4 2
[211,] 6 5 1 3 2 4
[212,] 5 6 1 3 2 4
[213,] 5 1 6 3 2 4
[214,] 5 1 3 6 2 4
[215,] 5 1 3 2 6 4
[216,] 5 1 3 2 4 6
[217,] 1 5 3 2 4 6
[218,] 1 5 3 2 6 4
[219,] 1 5 3 6 2 4
[220,] 1 5 6 3 2 4
[221,] 1 6 5 3 2 4
[222,] 6 1 5 3 2 4
[223,] 6 1 3 5 2 4
[224,] 1 6 3 5 2 4
[225,] 1 3 6 5 2 4
[226,] 1 3 5 6 2 4
[227,] 1 3 5 2 6 4
[228,] 1 3 5 2 4 6
[229,] 1 3 2 5 4 6
[230,] 1 3 2 5 6 4
[231,] 1 3 2 6 5 4
[232,] 1 3 6 2 5 4
[233,] 1 6 3 2 5 4
[234,] 6 1 3 2 5 4
[235,] 6 1 3 2 4 5
[236,] 1 6 3 2 4 5
[237,] 1 3 6 2 4 5
[238,] 1 3 2 6 4 5
[239,] 1 3 2 4 6 5
[240,] 1 3 2 4 5 6
[241,] 3 1 2 4 5 6
[242,] 3 1 2 4 6 5
[243,] 3 1 2 6 4 5
[244,] 3 1 6 2 4 5
[245,] 3 6 1 2 4 5
[246,] 6 3 1 2 4 5
[247,] 6 3 1 2 5 4
[248,] 3 6 1 2 5 4
[249,] 3 1 6 2 5 4
[250,] 3 1 2 6 5 4
[251,] 3 1 2 5 6 4
[252,] 3 1 2 5 4 6
[253,] 3 1 5 2 4 6
[254,] 3 1 5 2 6 4
[255,] 3 1 5 6 2 4
[256,] 3 1 6 5 2 4
[257,] 3 6 1 5 2 4
[258,] 6 3 1 5 2 4
[259,] 6 3 5 1 2 4
[260,] 3 6 5 1 2 4
[261,] 3 5 6 1 2 4
[262,] 3 5 1 6 2 4
[263,] 3 5 1 2 6 4
[264,] 3 5 1 2 4 6
[265,] 5 3 1 2 4 6
[266,] 5 3 1 2 6 4
[267,] 5 3 1 6 2 4
[268,] 5 3 6 1 2 4
[269,] 5 6 3 1 2 4
[270,] 6 5 3 1 2 4
[271,] 6 5 3 1 4 2
[272,] 5 6 3 1 4 2
[273,] 5 3 6 1 4 2
[274,] 5 3 1 6 4 2
[275,] 5 3 1 4 6 2
[276,] 5 3 1 4 2 6
[277,] 3 5 1 4 2 6
[278,] 3 5 1 4 6 2
[279,] 3 5 1 6 4 2
[280,] 3 5 6 1 4 2
[281,] 3 6 5 1 4 2
[282,] 6 3 5 1 4 2
[283,] 6 3 1 5 4 2
[284,] 3 6 1 5 4 2
[285,] 3 1 6 5 4 2
[286,] 3 1 5 6 4 2
[287,] 3 1 5 4 6 2
[288,] 3 1 5 4 2 6
[289,] 3 1 4 5 2 6
[290,] 3 1 4 5 6 2
[291,] 3 1 4 6 5 2
[292,] 3 1 6 4 5 2
[293,] 3 6 1 4 5 2
[294,] 6 3 1 4 5 2
[295,] 6 3 1 4 2 5
[296,] 3 6 1 4 2 5
[297,] 3 1 6 4 2 5
[298,] 3 1 4 6 2 5
[299,] 3 1 4 2 6 5
[300,] 3 1 4 2 5 6
[301,] 3 4 1 2 5 6
[302,] 3 4 1 2 6 5
[303,] 3 4 1 6 2 5
[304,] 3 4 6 1 2 5
[305,] 3 6 4 1 2 5
[306,] 6 3 4 1 2 5
[307,] 6 3 4 1 5 2
[308,] 3 6 4 1 5 2
[309,] 3 4 6 1 5 2
[310,] 3 4 1 6 5 2
[311,] 3 4 1 5 6 2
[312,] 3 4 1 5 2 6
[313,] 3 4 5 1 2 6
[314,] 3 4 5 1 6 2
[315,] 3 4 5 6 1 2
[316,] 3 4 6 5 1 2
[317,] 3 6 4 5 1 2
[318,] 6 3 4 5 1 2
[319,] 6 3 5 4 1 2
[320,] 3 6 5 4 1 2
[321,] 3 5 6 4 1 2
[322,] 3 5 4 6 1 2
[323,] 3 5 4 1 6 2
[324,] 3 5 4 1 2 6
[325,] 5 3 4 1 2 6
[326,] 5 3 4 1 6 2
[327,] 5 3 4 6 1 2
[328,] 5 3 6 4 1 2
[329,] 5 6 3 4 1 2
[330,] 6 5 3 4 1 2
[331,] 6 5 4 3 1 2
[332,] 5 6 4 3 1 2
[333,] 5 4 6 3 1 2
[334,] 5 4 3 6 1 2
[335,] 5 4 3 1 6 2
[336,] 5 4 3 1 2 6
[337,] 4 5 3 1 2 6
[338,] 4 5 3 1 6 2
[339,] 4 5 3 6 1 2
[340,] 4 5 6 3 1 2
[341,] 4 6 5 3 1 2
[342,] 6 4 5 3 1 2
[343,] 6 4 3 5 1 2
[344,] 4 6 3 5 1 2
[345,] 4 3 6 5 1 2
[346,] 4 3 5 6 1 2
[347,] 4 3 5 1 6 2
[348,] 4 3 5 1 2 6
[349,] 4 3 1 5 2 6
[350,] 4 3 1 5 6 2
[351,] 4 3 1 6 5 2
[352,] 4 3 6 1 5 2
[353,] 4 6 3 1 5 2
[354,] 6 4 3 1 5 2
[355,] 6 4 3 1 2 5
[356,] 4 6 3 1 2 5
[357,] 4 3 6 1 2 5
[358,] 4 3 1 6 2 5
[359,] 4 3 1 2 6 5
[360,] 4 3 1 2 5 6
[361,] 4 3 2 1 5 6
[362,] 4 3 2 1 6 5
[363,] 4 3 2 6 1 5
[364,] 4 3 6 2 1 5
[365,] 4 6 3 2 1 5
[366,] 6 4 3 2 1 5
[367,] 6 4 3 2 5 1
[368,] 4 6 3 2 5 1
[369,] 4 3 6 2 5 1
[370,] 4 3 2 6 5 1
[371,] 4 3 2 5 6 1
[372,] 4 3 2 5 1 6
[373,] 4 3 5 2 1 6
[374,] 4 3 5 2 6 1
[375,] 4 3 5 6 2 1
[376,] 4 3 6 5 2 1
[377,] 4 6 3 5 2 1
[378,] 6 4 3 5 2 1
[379,] 6 4 5 3 2 1
[380,] 4 6 5 3 2 1
[381,] 4 5 6 3 2 1
[382,] 4 5 3 6 2 1
[383,] 4 5 3 2 6 1
[384,] 4 5 3 2 1 6
[385,] 5 4 3 2 1 6
[386,] 5 4 3 2 6 1
[387,] 5 4 3 6 2 1
[388,] 5 4 6 3 2 1
[389,] 5 6 4 3 2 1
[390,] 6 5 4 3 2 1
[391,] 6 5 3 4 2 1
[392,] 5 6 3 4 2 1
[393,] 5 3 6 4 2 1
[394,] 5 3 4 6 2 1
[395,] 5 3 4 2 6 1
[396,] 5 3 4 2 1 6
[397,] 3 5 4 2 1 6
[398,] 3 5 4 2 6 1
[399,] 3 5 4 6 2 1
[400,] 3 5 6 4 2 1
[401,] 3 6 5 4 2 1
[402,] 6 3 5 4 2 1
[403,] 6 3 4 5 2 1
[404,] 3 6 4 5 2 1
[405,] 3 4 6 5 2 1
[406,] 3 4 5 6 2 1
[407,] 3 4 5 2 6 1
[408,] 3 4 5 2 1 6
[409,] 3 4 2 5 1 6
[410,] 3 4 2 5 6 1
[411,] 3 4 2 6 5 1
[412,] 3 4 6 2 5 1
[413,] 3 6 4 2 5 1
[414,] 6 3 4 2 5 1
[415,] 6 3 4 2 1 5
[416,] 3 6 4 2 1 5
[417,] 3 4 6 2 1 5
[418,] 3 4 2 6 1 5
[419,] 3 4 2 1 6 5
[420,] 3 4 2 1 5 6
[421,] 3 2 4 1 5 6
[422,] 3 2 4 1 6 5
[423,] 3 2 4 6 1 5
[424,] 3 2 6 4 1 5
[425,] 3 6 2 4 1 5
[426,] 6 3 2 4 1 5
[427,] 6 3 2 4 5 1
[428,] 3 6 2 4 5 1
[429,] 3 2 6 4 5 1
[430,] 3 2 4 6 5 1
[431,] 3 2 4 5 6 1
[432,] 3 2 4 5 1 6
[433,] 3 2 5 4 1 6
[434,] 3 2 5 4 6 1
[435,] 3 2 5 6 4 1
[436,] 3 2 6 5 4 1
[437,] 3 6 2 5 4 1
[438,] 6 3 2 5 4 1
[439,] 6 3 5 2 4 1
[440,] 3 6 5 2 4 1
[441,] 3 5 6 2 4 1
[442,] 3 5 2 6 4 1
[443,] 3 5 2 4 6 1
[444,] 3 5 2 4 1 6
[445,] 5 3 2 4 1 6
[446,] 5 3 2 4 6 1
[447,] 5 3 2 6 4 1
[448,] 5 3 6 2 4 1
[449,] 5 6 3 2 4 1
[450,] 6 5 3 2 4 1
[451,] 6 5 3 2 1 4
[452,] 5 6 3 2 1 4
[453,] 5 3 6 2 1 4
[454,] 5 3 2 6 1 4
[455,] 5 3 2 1 6 4
[456,] 5 3 2 1 4 6
[457,] 3 5 2 1 4 6
[458,] 3 5 2 1 6 4
[459,] 3 5 2 6 1 4
[460,] 3 5 6 2 1 4
[461,] 3 6 5 2 1 4
[462,] 6 3 5 2 1 4
[463,] 6 3 2 5 1 4
[464,] 3 6 2 5 1 4
[465,] 3 2 6 5 1 4
[466,] 3 2 5 6 1 4
[467,] 3 2 5 1 6 4
[468,] 3 2 5 1 4 6
[469,] 3 2 1 5 4 6
[470,] 3 2 1 5 6 4
[471,] 3 2 1 6 5 4
[472,] 3 2 6 1 5 4
[473,] 3 6 2 1 5 4
[474,] 6 3 2 1 5 4
[475,] 6 3 2 1 4 5
[476,] 3 6 2 1 4 5
[477,] 3 2 6 1 4 5
[478,] 3 2 1 6 4 5
[479,] 3 2 1 4 6 5
[480,] 3 2 1 4 5 6
[481,] 2 3 1 4 5 6
[482,] 2 3 1 4 6 5
[483,] 2 3 1 6 4 5
[484,] 2 3 6 1 4 5
[485,] 2 6 3 1 4 5
[486,] 6 2 3 1 4 5
[487,] 6 2 3 1 5 4
[488,] 2 6 3 1 5 4
[489,] 2 3 6 1 5 4
[490,] 2 3 1 6 5 4
[491,] 2 3 1 5 6 4
[492,] 2 3 1 5 4 6
[493,] 2 3 5 1 4 6
[494,] 2 3 5 1 6 4
[495,] 2 3 5 6 1 4
[496,] 2 3 6 5 1 4
[497,] 2 6 3 5 1 4
[498,] 6 2 3 5 1 4
[499,] 6 2 5 3 1 4
[500,] 2 6 5 3 1 4
[501,] 2 5 6 3 1 4
[502,] 2 5 3 6 1 4
[503,] 2 5 3 1 6 4
[504,] 2 5 3 1 4 6
[505,] 5 2 3 1 4 6
[506,] 5 2 3 1 6 4
[507,] 5 2 3 6 1 4
[508,] 5 2 6 3 1 4
[509,] 5 6 2 3 1 4
[510,] 6 5 2 3 1 4
[511,] 6 5 2 3 4 1
[512,] 5 6 2 3 4 1
[513,] 5 2 6 3 4 1
[514,] 5 2 3 6 4 1
[515,] 5 2 3 4 6 1
[516,] 5 2 3 4 1 6
[517,] 2 5 3 4 1 6
[518,] 2 5 3 4 6 1
[519,] 2 5 3 6 4 1
[520,] 2 5 6 3 4 1
[521,] 2 6 5 3 4 1
[522,] 6 2 5 3 4 1
[523,] 6 2 3 5 4 1
[524,] 2 6 3 5 4 1
[525,] 2 3 6 5 4 1
[526,] 2 3 5 6 4 1
[527,] 2 3 5 4 6 1
[528,] 2 3 5 4 1 6
[529,] 2 3 4 5 1 6
[530,] 2 3 4 5 6 1
[531,] 2 3 4 6 5 1
[532,] 2 3 6 4 5 1
[533,] 2 6 3 4 5 1
[534,] 6 2 3 4 5 1
[535,] 6 2 3 4 1 5
[536,] 2 6 3 4 1 5
[537,] 2 3 6 4 1 5
[538,] 2 3 4 6 1 5
[539,] 2 3 4 1 6 5
[540,] 2 3 4 1 5 6
[541,] 2 4 3 1 5 6
[542,] 2 4 3 1 6 5
[543,] 2 4 3 6 1 5
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[545,] 2 6 4 3 1 5
[546,] 6 2 4 3 1 5
[547,] 6 2 4 3 5 1
[548,] 2 6 4 3 5 1
[549,] 2 4 6 3 5 1
[550,] 2 4 3 6 5 1
[551,] 2 4 3 5 6 1
[552,] 2 4 3 5 1 6
[553,] 2 4 5 3 1 6
[554,] 2 4 5 3 6 1
[555,] 2 4 5 6 3 1
[556,] 2 4 6 5 3 1
[557,] 2 6 4 5 3 1
[558,] 6 2 4 5 3 1
[559,] 6 2 5 4 3 1
[560,] 2 6 5 4 3 1
[561,] 2 5 6 4 3 1
[562,] 2 5 4 6 3 1
[563,] 2 5 4 3 6 1
[564,] 2 5 4 3 1 6
[565,] 5 2 4 3 1 6
[566,] 5 2 4 3 6 1
[567,] 5 2 4 6 3 1
[568,] 5 2 6 4 3 1
[569,] 5 6 2 4 3 1
[570,] 6 5 2 4 3 1
[571,] 6 5 4 2 3 1
[572,] 5 6 4 2 3 1
[573,] 5 4 6 2 3 1
[574,] 5 4 2 6 3 1
[575,] 5 4 2 3 6 1
[576,] 5 4 2 3 1 6
[577,] 4 5 2 3 1 6
[578,] 4 5 2 3 6 1
[579,] 4 5 2 6 3 1
[580,] 4 5 6 2 3 1
[581,] 4 6 5 2 3 1
[582,] 6 4 5 2 3 1
[583,] 6 4 2 5 3 1
[584,] 4 6 2 5 3 1
[585,] 4 2 6 5 3 1
[586,] 4 2 5 6 3 1
[587,] 4 2 5 3 6 1
[588,] 4 2 5 3 1 6
[589,] 4 2 3 5 1 6
[590,] 4 2 3 5 6 1
[591,] 4 2 3 6 5 1
[592,] 4 2 6 3 5 1
[593,] 4 6 2 3 5 1
[594,] 6 4 2 3 5 1
[595,] 6 4 2 3 1 5
[596,] 4 6 2 3 1 5
[597,] 4 2 6 3 1 5
[598,] 4 2 3 6 1 5
[599,] 4 2 3 1 6 5
[600,] 4 2 3 1 5 6
[601,] 4 2 1 3 5 6
[602,] 4 2 1 3 6 5
[603,] 4 2 1 6 3 5
[604,] 4 2 6 1 3 5
[605,] 4 6 2 1 3 5
[606,] 6 4 2 1 3 5
[607,] 6 4 2 1 5 3
[608,] 4 6 2 1 5 3
[609,] 4 2 6 1 5 3
[610,] 4 2 1 6 5 3
[611,] 4 2 1 5 6 3
[612,] 4 2 1 5 3 6
[613,] 4 2 5 1 3 6
[614,] 4 2 5 1 6 3
[615,] 4 2 5 6 1 3
[616,] 4 2 6 5 1 3
[617,] 4 6 2 5 1 3
[618,] 6 4 2 5 1 3
[619,] 6 4 5 2 1 3
[620,] 4 6 5 2 1 3
[621,] 4 5 6 2 1 3
[622,] 4 5 2 6 1 3
[623,] 4 5 2 1 6 3
[624,] 4 5 2 1 3 6
[625,] 5 4 2 1 3 6
[626,] 5 4 2 1 6 3
[627,] 5 4 2 6 1 3
[628,] 5 4 6 2 1 3
[629,] 5 6 4 2 1 3
[630,] 6 5 4 2 1 3
[631,] 6 5 2 4 1 3
[632,] 5 6 2 4 1 3
[633,] 5 2 6 4 1 3
[634,] 5 2 4 6 1 3
[635,] 5 2 4 1 6 3
[636,] 5 2 4 1 3 6
[637,] 2 5 4 1 3 6
[638,] 2 5 4 1 6 3
[639,] 2 5 4 6 1 3
[640,] 2 5 6 4 1 3
[641,] 2 6 5 4 1 3
[642,] 6 2 5 4 1 3
[643,] 6 2 4 5 1 3
[644,] 2 6 4 5 1 3
[645,] 2 4 6 5 1 3
[646,] 2 4 5 6 1 3
[647,] 2 4 5 1 6 3
[648,] 2 4 5 1 3 6
[649,] 2 4 1 5 3 6
[650,] 2 4 1 5 6 3
[651,] 2 4 1 6 5 3
[652,] 2 4 6 1 5 3
[653,] 2 6 4 1 5 3
[654,] 6 2 4 1 5 3
[655,] 6 2 4 1 3 5
[656,] 2 6 4 1 3 5
[657,] 2 4 6 1 3 5
[658,] 2 4 1 6 3 5
[659,] 2 4 1 3 6 5
[660,] 2 4 1 3 5 6
[661,] 2 1 4 3 5 6
[662,] 2 1 4 3 6 5
[663,] 2 1 4 6 3 5
[664,] 2 1 6 4 3 5
[665,] 2 6 1 4 3 5
[666,] 6 2 1 4 3 5
[667,] 6 2 1 4 5 3
[668,] 2 6 1 4 5 3
[669,] 2 1 6 4 5 3
[670,] 2 1 4 6 5 3
[671,] 2 1 4 5 6 3
[672,] 2 1 4 5 3 6
[673,] 2 1 5 4 3 6
[674,] 2 1 5 4 6 3
[675,] 2 1 5 6 4 3
[676,] 2 1 6 5 4 3
[677,] 2 6 1 5 4 3
[678,] 6 2 1 5 4 3
[679,] 6 2 5 1 4 3
[680,] 2 6 5 1 4 3
[681,] 2 5 6 1 4 3
[682,] 2 5 1 6 4 3
[683,] 2 5 1 4 6 3
[684,] 2 5 1 4 3 6
[685,] 5 2 1 4 3 6
[686,] 5 2 1 4 6 3
[687,] 5 2 1 6 4 3
[688,] 5 2 6 1 4 3
[689,] 5 6 2 1 4 3
[690,] 6 5 2 1 4 3
[691,] 6 5 2 1 3 4
[692,] 5 6 2 1 3 4
[693,] 5 2 6 1 3 4
[694,] 5 2 1 6 3 4
[695,] 5 2 1 3 6 4
[696,] 5 2 1 3 4 6
[697,] 2 5 1 3 4 6
[698,] 2 5 1 3 6 4
[699,] 2 5 1 6 3 4
[700,] 2 5 6 1 3 4
[701,] 2 6 5 1 3 4
[702,] 6 2 5 1 3 4
[703,] 6 2 1 5 3 4
[704,] 2 6 1 5 3 4
[705,] 2 1 6 5 3 4
[706,] 2 1 5 6 3 4
[707,] 2 1 5 3 6 4
[708,] 2 1 5 3 4 6
[709,] 2 1 3 5 4 6
[710,] 2 1 3 5 6 4
[711,] 2 1 3 6 5 4
[712,] 2 1 6 3 5 4
[713,] 2 6 1 3 5 4
[714,] 6 2 1 3 5 4
[715,] 6 2 1 3 4 5
[716,] 2 6 1 3 4 5
[717,] 2 1 6 3 4 5
[718,] 2 1 3 6 4 5
[719,] 2 1 3 4 6 5
[720,] 2 1 3 4 5 6
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] 120 120 120 120 120 120
[2,] 120 120 120 120 120 120
[3,] 120 120 120 120 120 120
[4,] 120 120 120 120 120 120
[5,] 120 120 120 120 120 120
[6,] 120 120 120 120 120 120
[,1] [,2] [,3] [,4] [,5]
[1,] 1 1 1 1 1
[2,] 1 1 1 2 -1
[3,] 1 1 3 -2 1
[4,] 1 4 -3 1 1
[5,] 5 -4 1 1 1
[6,] -5 1 1 1 1
[7,] -5 1 1 2 -1
[8,] 5 -4 1 2 -1
[9,] 1 4 -3 2 -1
[10,] 1 1 3 -1 -1
[11,] 1 1 2 1 -2
[12,] 1 1 2 -1 2
[13,] 1 3 -2 1 2
[14,] 1 3 -2 3 -2
[15,] 1 3 1 -3 1
[16,] 1 4 -1 -2 1
[17,] 5 -4 3 -2 1
[18,] -5 1 3 -2 1
[19,] -5 4 -3 1 1
[20,] 5 -1 -3 1 1
[21,] 4 1 -4 1 1
[22,] 4 -3 4 -3 1
[23,] 4 -3 1 3 -2
[24,] 4 -3 1 1 2
[25,] -4 1 1 1 2
[26,] -4 1 1 3 -2
[27,] -4 1 4 -3 1
[28,] -4 5 -4 1 1
[29,] 1 -5 1 1 1
[30,] -1 -4 1 1 1
[31,] -1 -4 1 2 -1
[32,] 1 -5 1 2 -1
[33,] -4 5 -4 2 -1
[34,] -4 1 4 -2 -1
[35,] -4 1 2 2 -3
[36,] -4 1 2 -1 3
[37,] 4 -3 2 -1 3
[38,] 4 -3 2 2 -3
[39,] 4 -3 4 -2 -1
[40,] 4 1 -4 2 -1
[41,] 5 -1 -3 2 -1
[42,] -5 4 -3 2 -1
[43,] -5 1 3 -1 -1
[44,] 5 -4 3 -1 -1
[45,] 1 4 -1 -1 -1
[46,] 1 3 1 -2 -1
[47,] 1 3 -1 2 -3
[48,] 1 3 -1 -1 3
[49,] 1 2 1 -2 3
[50,] 1 2 1 1 -3
[51,] 1 2 2 -1 -2
[52,] 1 4 -2 1 -2
[53,] 5 -4 2 1 -2
[54,] -5 1 2 1 -2
[55,] -5 1 2 -1 2
[56,] 5 -4 2 -1 2
[57,] 1 4 -2 -1 2
[58,] 1 2 2 -3 2
[59,] 1 2 -1 3 -1
[60,] 1 2 -1 2 1
[61,] 3 -2 1 2 1
[62,] 3 -2 1 3 -1
[63,] 3 -2 4 -3 2
[64,] 3 2 -4 1 2
[65,] 5 -2 -2 1 2
[66,] -5 3 -2 1 2
[67,] -5 3 -2 3 -2
[68,] 5 -2 -2 3 -2
[69,] 3 2 -4 3 -2
[70,] 3 -2 4 -1 -2
[71,] 3 -2 3 1 -3
[72,] 3 -2 3 -2 3
[73,] 3 1 -3 1 3
[74,] 3 1 -3 4 -3
[75,] 3 1 1 -4 1
[76,] 3 2 -1 -3 1
[77,] 5 -2 1 -3 1
[78,] -5 3 1 -3 1
[79,] -5 4 -1 -2 1
[80,] 5 -1 -1 -2 1
[81,] 4 1 -2 -2 1
[82,] 4 -1 2 -4 1
[83,] 4 -1 -2 4 -3
[84,] 4 -1 -2 1 3
[85,] -4 3 -2 1 3
[86,] -4 3 -2 4 -3
[87,] -4 3 2 -4 1
[88,] -4 5 -2 -2 1
[89,] 1 -5 3 -2 1
[90,] -1 -4 3 -2 1
[91,] -1 -1 -3 1 1
[92,] 1 -2 -3 1 1
[93,] -1 2 -5 1 1
[94,] -1 -3 5 -4 1
[95,] -1 -3 1 4 -3
[96,] -1 -3 1 1 3
[97,] 1 -4 1 1 3
[98,] 1 -4 1 4 -3
[99,] 1 -4 5 -4 1
[100,] 1 1 -5 1 1
[101,] 2 -1 -4 1 1
[102,] -2 1 -4 1 1
[103,] -2 -3 4 -3 1
[104,] 2 -5 4 -3 1
[105,] -3 5 -1 -3 1
[106,] -3 4 1 -4 1
[107,] -3 4 -3 4 -3
[108,] -3 4 -3 1 3
[109,] -3 1 3 -2 3
[110,] -3 1 3 1 -3
[111,] -3 1 4 -1 -2
[112,] -3 5 -4 3 -2
[113,] 2 -5 1 3 -2
[114,] -2 -3 1 3 -2
[115,] -2 -3 1 1 2
[116,] 2 -5 1 1 2
[117,] -3 5 -4 1 2
[118,] -3 1 4 -3 2
[119,] -3 1 1 3 -1
[120,] -3 1 1 2 1
[121,] -3 2 -1 3 1
[122,] -3 2 -1 4 -1
[123,] -3 2 3 -4 3
[124,] -3 5 -3 -1 3
[125,] 2 -5 2 -1 3
[126,] -2 -3 2 -1 3
[127,] -2 -3 2 2 -3
[128,] 2 -5 2 2 -3
[129,] -3 5 -3 2 -3
[130,] -3 2 3 -1 -3
[131,] -3 2 2 1 -4
[132,] -3 2 2 -3 4
[133,] -3 4 -2 -1 4
[134,] -3 4 -2 3 -4
[135,] -3 4 1 -3 -1
[136,] -3 5 -1 -2 -1
[137,] 2 -5 4 -2 -1
[138,] -2 -3 4 -2 -1
[139,] -2 1 -4 2 -1
[140,] 2 -1 -4 2 -1
[141,] 1 1 -5 2 -1
[142,] 1 -4 5 -3 -1
[143,] 1 -4 2 3 -4
[144,] 1 -4 2 -1 4
[145,] -1 -3 2 -1 4
[146,] -1 -3 2 3 -4
[147,] -1 -3 5 -3 -1
[148,] -1 2 -5 2 -1
[149,] 1 -2 -3 2 -1
[150,] -1 -1 -3 2 -1
[151,] -1 -4 3 -1 -1
[152,] 1 -5 3 -1 -1
[153,] -4 5 -2 -1 -1
[154,] -4 3 2 -3 -1
[155,] -4 3 -1 3 -4
[156,] -4 3 -1 -1 4
[157,] 4 -1 -1 -1 4
[158,] 4 -1 -1 3 -4
[159,] 4 -1 2 -3 -1
[160,] 4 1 -2 -1 -1
[161,] 5 -1 -1 -1 -1
[162,] -5 4 -1 -1 -1
[163,] -5 3 1 -2 -1
[164,] 5 -2 1 -2 -1
[165,] 3 2 -1 -2 -1
[166,] 3 1 1 -3 -1
[167,] 3 1 -2 3 -4
[168,] 3 1 -2 -1 4
[169,] 3 -1 2 -3 4
[170,] 3 -1 2 1 -4
[171,] 3 -1 3 -1 -3
[172,] 3 2 -3 2 -3
[173,] 5 -2 -1 2 -3
[174,] -5 3 -1 2 -3
[175,] -5 3 -1 -1 3
[176,] 5 -2 -1 -1 3
[177,] 3 2 -3 -1 3
[178,] 3 -1 3 -4 3
[179,] 3 -1 -1 4 -1
[180,] 3 -1 -1 3 1
[181,] 2 1 -2 3 1
[182,] 2 1 -2 4 -1
[183,] 2 1 2 -4 3
[184,] 2 3 -2 -2 3
[185,] 5 -3 1 -2 3
[186,] -5 2 1 -2 3
[187,] -5 2 1 1 -3
[188,] 5 -3 1 1 -3
[189,] 2 3 -2 1 -3
[190,] 2 1 2 -1 -3
[191,] 2 1 1 1 -4
[192,] 2 1 1 -3 4
[193,] 2 2 -1 -2 4
[194,] 2 2 -1 2 -4
[195,] 2 2 1 -2 -2
[196,] 2 3 -1 -1 -2
[197,] 5 -3 2 -1 -2
[198,] -5 2 2 -1 -2
[199,] -5 4 -2 1 -2
[200,] 5 -1 -2 1 -2
[201,] 4 1 -3 1 -2
[202,] 4 -2 3 -2 -2
[203,] 4 -2 1 2 -4
[204,] 4 -2 1 -2 4
[205,] -4 2 1 -2 4
[206,] -4 2 1 2 -4
[207,] -4 2 3 -2 -2
[208,] -4 5 -3 1 -2
[209,] 1 -5 2 1 -2
[210,] -1 -4 2 1 -2
[211,] -1 -4 2 -1 2
[212,] 1 -5 2 -1 2
[213,] -4 5 -3 -1 2
[214,] -4 2 3 -4 2
[215,] -4 2 -1 4 -2
[216,] -4 2 -1 2 2
[217,] 4 -2 -1 2 2
[218,] 4 -2 -1 4 -2
[219,] 4 -2 3 -4 2
[220,] 4 1 -3 -1 2
[221,] 5 -1 -2 -1 2
[222,] -5 4 -2 -1 2
[223,] -5 2 2 -3 2
[224,] 5 -3 2 -3 2
[225,] 2 3 -1 -3 2
[226,] 2 2 1 -4 2
[227,] 2 2 -3 4 -2
[228,] 2 2 -3 2 2
[229,] 2 -1 3 -1 2
[230,] 2 -1 3 1 -2
[231,] 2 -1 4 -1 -1
[232,] 2 3 -4 3 -1
[233,] 5 -3 -1 3 -1
[234,] -5 2 -1 3 -1
[235,] -5 2 -1 2 1
[236,] 5 -3 -1 2 1
[237,] 2 3 -4 2 1
[238,] 2 -1 4 -2 1
[239,] 2 -1 2 2 -1
[240,] 2 -1 2 1 1
[241,] -2 1 2 1 1
[242,] -2 1 2 2 -1
[243,] -2 1 4 -2 1
[244,] -2 5 -4 2 1
[245,] 3 -5 1 2 1
[246,] -3 -2 1 2 1
[247,] -3 -2 1 3 -1
[248,] 3 -5 1 3 -1
[249,] -2 5 -4 3 -1
[250,] -2 1 4 -1 -1
[251,] -2 1 3 1 -2
[252,] -2 1 3 -1 2
[253,] -2 4 -3 2 2
[254,] -2 4 -3 4 -2
[255,] -2 4 1 -4 2
[256,] -2 5 -1 -3 2
[257,] 3 -5 4 -3 2
[258,] -3 -2 4 -3 2
[259,] -3 2 -4 1 2
[260,] 3 -1 -4 1 2
[261,] 2 1 -5 1 2
[262,] 2 -4 5 -4 2
[263,] 2 -4 1 4 -2
[264,] 2 -4 1 2 2
[265,] -2 -2 1 2 2
[266,] -2 -2 1 4 -2
[267,] -2 -2 5 -4 2
[268,] -2 3 -5 1 2
[269,] 1 -3 -2 1 2
[270,] -1 -2 -2 1 2
[271,] -1 -2 -2 3 -2
[272,] 1 -3 -2 3 -2
[273,] -2 3 -5 3 -2
[274,] -2 -2 5 -2 -2
[275,] -2 -2 3 2 -4
[276,] -2 -2 3 -2 4
[277,] 2 -4 3 -2 4
[278,] 2 -4 3 2 -4
[279,] 2 -4 5 -2 -2
[280,] 2 1 -5 3 -2
[281,] 3 -1 -4 3 -2
[282,] -3 2 -4 3 -2
[283,] -3 -2 4 -1 -2
[284,] 3 -5 4 -1 -2
[285,] -2 5 -1 -1 -2
[286,] -2 4 1 -2 -2
[287,] -2 4 -1 2 -4
[288,] -2 4 -1 -2 4
[289,] -2 3 1 -3 4
[290,] -2 3 1 1 -4
[291,] -2 3 2 -1 -3
[292,] -2 5 -2 1 -3
[293,] 3 -5 3 1 -3
[294,] -3 -2 3 1 -3
[295,] -3 -2 3 -2 3
[296,] 3 -5 3 -2 3
[297,] -2 5 -2 -2 3
[298,] -2 3 2 -4 3
[299,] -2 3 -2 4 -1
[300,] -2 3 -2 3 1
[301,] 1 -3 1 3 1
[302,] 1 -3 1 4 -1
[303,] 1 -3 5 -4 3
[304,] 1 2 -5 1 3
[305,] 3 -2 -3 1 3
[306,] -3 1 -3 1 3
[307,] -3 1 -3 4 -3
[308,] 3 -2 -3 4 -3
[309,] 1 2 -5 4 -3
[310,] 1 -3 5 -1 -3
[311,] 1 -3 4 1 -4
[312,] 1 -3 4 -3 4
[313,] 1 1 -4 1 4
[314,] 1 1 -4 5 -4
[315,] 1 1 1 -5 1
[316,] 1 2 -1 -4 1
[317,] 3 -2 1 -4 1
[318,] -3 1 1 -4 1
[319,] -3 2 -1 -3 1
[320,] 3 -1 -1 -3 1
[321,] 2 1 -2 -3 1
[322,] 2 -1 2 -5 1
[323,] 2 -1 -3 5 -4
[324,] 2 -1 -3 1 4
[325,] -2 1 -3 1 4
[326,] -2 1 -3 5 -4
[327,] -2 1 2 -5 1
[328,] -2 3 -2 -3 1
[329,] 1 -3 1 -3 1
[330,] -1 -2 1 -3 1
[331,] -1 -1 -1 -2 1
[332,] 1 -2 -1 -2 1
[333,] -1 2 -3 -2 1
[334,] -1 -1 3 -5 1
[335,] -1 -1 -2 5 -4
[336,] -1 -1 -2 1 4
[337,] 1 -2 -2 1 4
[338,] 1 -2 -2 5 -4
[339,] 1 -2 3 -5 1
[340,] 1 1 -3 -2 1
[341,] 2 -1 -2 -2 1
[342,] -2 1 -2 -2 1
[343,] -2 -1 2 -4 1
[344,] 2 -3 2 -4 1
[345,] -1 3 -1 -4 1
[346,] -1 2 1 -5 1
[347,] -1 2 -4 5 -4
[348,] -1 2 -4 1 4
[349,] -1 -2 4 -3 4
[350,] -1 -2 4 1 -4
[351,] -1 -2 5 -1 -3
[352,] -1 3 -5 4 -3
[353,] 2 -3 -2 4 -3
[354,] -2 -1 -2 4 -3
[355,] -2 -1 -2 1 3
[356,] 2 -3 -2 1 3
[357,] -1 3 -5 1 3
[358,] -1 -2 5 -4 3
[359,] -1 -2 1 4 -1
[360,] -1 -2 1 3 1
[361,] -1 -1 -1 4 1
[362,] -1 -1 -1 5 -1
[363,] -1 -1 4 -5 4
[364,] -1 3 -4 -1 4
[365,] 2 -3 -1 -1 4
[366,] -2 -1 -1 -1 4
[367,] -2 -1 -1 3 -4
[368,] 2 -3 -1 3 -4
[369,] -1 3 -4 3 -4
[370,] -1 -1 4 -1 -4
[371,] -1 -1 3 1 -5
[372,] -1 -1 3 -4 5
[373,] -1 2 -3 -1 5
[374,] -1 2 -3 4 -5
[375,] -1 2 1 -4 -1
[376,] -1 3 -1 -3 -1
[377,] 2 -3 2 -3 -1
[378,] -2 -1 2 -3 -1
[379,] -2 1 -2 -1 -1
[380,] 2 -1 -2 -1 -1
[381,] 1 1 -3 -1 -1
[382,] 1 -2 3 -4 -1
[383,] 1 -2 -1 4 -5
[384,] 1 -2 -1 -1 5
[385,] -1 -1 -1 -1 5
[386,] -1 -1 -1 4 -5
[387,] -1 -1 3 -4 -1
[388,] -1 2 -3 -1 -1
[389,] 1 -2 -1 -1 -1
[390,] -1 -1 -1 -1 -1
[391,] -1 -2 1 -2 -1
[392,] 1 -3 1 -2 -1
[393,] -2 3 -2 -2 -1
[394,] -2 1 2 -4 -1
[395,] -2 1 -2 4 -5
[396,] -2 1 -2 -1 5
[397,] 2 -1 -2 -1 5
[398,] 2 -1 -2 4 -5
[399,] 2 -1 2 -4 -1
[400,] 2 1 -2 -2 -1
[401,] 3 -1 -1 -2 -1
[402,] -3 2 -1 -2 -1
[403,] -3 1 1 -3 -1
[404,] 3 -2 1 -3 -1
[405,] 1 2 -1 -3 -1
[406,] 1 1 1 -4 -1
[407,] 1 1 -3 4 -5
[408,] 1 1 -3 -1 5
[409,] 1 -2 3 -4 5
[410,] 1 -2 3 1 -5
[411,] 1 -2 4 -1 -4
[412,] 1 2 -4 3 -4
[413,] 3 -2 -2 3 -4
[414,] -3 1 -2 3 -4
[415,] -3 1 -2 -1 4
[416,] 3 -2 -2 -1 4
[417,] 1 2 -4 -1 4
[418,] 1 -2 4 -5 4
[419,] 1 -2 -1 5 -1
[420,] 1 -2 -1 4 1
[421,] -1 2 -3 4 1
[422,] -1 2 -3 5 -1
[423,] -1 2 2 -5 4
[424,] -1 4 -2 -3 4
[425,] 3 -4 2 -3 4
[426,] -3 -1 2 -3 4
[427,] -3 -1 2 1 -4
[428,] 3 -4 2 1 -4
[429,] -1 4 -2 1 -4
[430,] -1 2 2 -1 -4
[431,] -1 2 1 1 -5
[432,] -1 2 1 -4 5
[433,] -1 3 -1 -3 5
[434,] -1 3 -1 2 -5
[435,] -1 3 1 -2 -3
[436,] -1 4 -1 -1 -3
[437,] 3 -4 3 -1 -3
[438,] -3 -1 3 -1 -3
[439,] -3 2 -3 2 -3
[440,] 3 -1 -3 2 -3
[441,] 2 1 -4 2 -3
[442,] 2 -3 4 -2 -3
[443,] 2 -3 2 2 -5
[444,] 2 -3 2 -3 5
[445,] -2 -1 2 -3 5
[446,] -2 -1 2 2 -5
[447,] -2 -1 4 -2 -3
[448,] -2 3 -4 2 -3
[449,] 1 -3 -1 2 -3
[450,] -1 -2 -1 2 -3
[451,] -1 -2 -1 -1 3
[452,] 1 -3 -1 -1 3
[453,] -2 3 -4 -1 3
[454,] -2 -1 4 -5 3
[455,] -2 -1 -1 5 -2
[456,] -2 -1 -1 3 2
[457,] 2 -3 -1 3 2
[458,] 2 -3 -1 5 -2
[459,] 2 -3 4 -5 3
[460,] 2 1 -4 -1 3
[461,] 3 -1 -3 -1 3
[462,] -3 2 -3 -1 3
[463,] -3 -1 3 -4 3
[464,] 3 -4 3 -4 3
[465,] -1 4 -1 -4 3
[466,] -1 3 1 -5 3
[467,] -1 3 -4 5 -2
[468,] -1 3 -4 3 2
[469,] -1 -1 4 -1 2
[470,] -1 -1 4 1 -2
[471,] -1 -1 5 -1 -1
[472,] -1 4 -5 4 -1
[473,] 3 -4 -1 4 -1
[474,] -3 -1 -1 4 -1
[475,] -3 -1 -1 3 1
[476,] 3 -4 -1 3 1
[477,] -1 4 -5 3 1
[478,] -1 -1 5 -2 1
[479,] -1 -1 3 2 -1
[480,] -1 -1 3 1 1
[481,] 1 -2 3 1 1
[482,] 1 -2 3 2 -1
[483,] 1 -2 5 -2 1
[484,] 1 3 -5 3 1
[485,] 4 -3 -2 3 1
[486,] -4 1 -2 3 1
[487,] -4 1 -2 4 -1
[488,] 4 -3 -2 4 -1
[489,] 1 3 -5 4 -1
[490,] 1 -2 5 -1 -1
[491,] 1 -2 4 1 -2
[492,] 1 -2 4 -1 2
[493,] 1 2 -4 3 2
[494,] 1 2 -4 5 -2
[495,] 1 2 1 -5 3
[496,] 1 3 -1 -4 3
[497,] 4 -3 2 -4 3
[498,] -4 1 2 -4 3
[499,] -4 3 -2 -2 3
[500,] 4 -1 -2 -2 3
[501,] 3 1 -3 -2 3
[502,] 3 -2 3 -5 3
[503,] 3 -2 -2 5 -2
[504,] 3 -2 -2 3 2
[505,] -3 1 -2 3 2
[506,] -3 1 -2 5 -2
[507,] -3 1 3 -5 3
[508,] -3 4 -3 -2 3
[509,] 1 -4 1 -2 3
[510,] -1 -3 1 -2 3
[511,] -1 -3 1 1 -3
[512,] 1 -4 1 1 -3
[513,] -3 4 -3 1 -3
[514,] -3 1 3 -2 -3
[515,] -3 1 1 2 -5
[516,] -3 1 1 -3 5
[517,] 3 -2 1 -3 5
[518,] 3 -2 1 2 -5
[519,] 3 -2 3 -2 -3
[520,] 3 1 -3 1 -3
[521,] 4 -1 -2 1 -3
[522,] -4 3 -2 1 -3
[523,] -4 1 2 -1 -3
[524,] 4 -3 2 -1 -3
[525,] 1 3 -1 -1 -3
[526,] 1 2 1 -2 -3
[527,] 1 2 -1 2 -5
[528,] 1 2 -1 -3 5
[529,] 1 1 1 -4 5
[530,] 1 1 1 1 -5
[531,] 1 1 2 -1 -4
[532,] 1 3 -2 1 -4
[533,] 4 -3 1 1 -4
[534,] -4 1 1 1 -4
[535,] -4 1 1 -3 4
[536,] 4 -3 1 -3 4
[537,] 1 3 -2 -3 4
[538,] 1 1 2 -5 4
[539,] 1 1 -3 5 -1
[540,] 1 1 -3 4 1
[541,] 2 -1 -2 4 1
[542,] 2 -1 -2 5 -1
[543,] 2 -1 3 -5 4
[544,] 2 2 -3 -2 4
[545,] 4 -2 -1 -2 4
[546,] -4 2 -1 -2 4
[547,] -4 2 -1 2 -4
[548,] 4 -2 -1 2 -4
[549,] 2 2 -3 2 -4
[550,] 2 -1 3 -1 -4
[551,] 2 -1 2 1 -5
[552,] 2 -1 2 -4 5
[553,] 2 1 -2 -2 5
[554,] 2 1 -2 3 -5
[555,] 2 1 1 -3 -2
[556,] 2 2 -1 -2 -2
[557,] 4 -2 1 -2 -2
[558,] -4 2 1 -2 -2
[559,] -4 3 -1 -1 -2
[560,] 4 -1 -1 -1 -2
[561,] 3 1 -2 -1 -2
[562,] 3 -1 2 -3 -2
[563,] 3 -1 -1 3 -5
[564,] 3 -1 -1 -2 5
[565,] -3 2 -1 -2 5
[566,] -3 2 -1 3 -5
[567,] -3 2 2 -3 -2
[568,] -3 4 -2 -1 -2
[569,] 1 -4 2 -1 -2
[570,] -1 -3 2 -1 -2
[571,] -1 -1 -2 1 -2
[572,] 1 -2 -2 1 -2
[573,] -1 2 -4 1 -2
[574,] -1 -2 4 -3 -2
[575,] -1 -2 1 3 -5
[576,] -1 -2 1 -2 5
[577,] 1 -3 1 -2 5
[578,] 1 -3 1 3 -5
[579,] 1 -3 4 -3 -2
[580,] 1 1 -4 1 -2
[581,] 2 -1 -3 1 -2
[582,] -2 1 -3 1 -2
[583,] -2 -2 3 -2 -2
[584,] 2 -4 3 -2 -2
[585,] -2 4 -1 -2 -2
[586,] -2 3 1 -3 -2
[587,] -2 3 -2 3 -5
[588,] -2 3 -2 -2 5
[589,] -2 1 2 -4 5
[590,] -2 1 2 1 -5
[591,] -2 1 3 -1 -4
[592,] -2 4 -3 2 -4
[593,] 2 -4 1 2 -4
[594,] -2 -2 1 2 -4
[595,] -2 -2 1 -2 4
[596,] 2 -4 1 -2 4
[597,] -2 4 -3 -2 4
[598,] -2 1 3 -5 4
[599,] -2 1 -2 5 -1
[600,] -2 1 -2 4 1
[601,] -2 -1 2 2 1
[602,] -2 -1 2 3 -1
[603,] -2 -1 5 -3 2
[604,] -2 4 -5 2 2
[605,] 2 -4 -1 2 2
[606,] -2 -2 -1 2 2
[607,] -2 -2 -1 4 -2
[608,] 2 -4 -1 4 -2
[609,] -2 4 -5 4 -2
[610,] -2 -1 5 -1 -2
[611,] -2 -1 4 1 -3
[612,] -2 -1 4 -2 3
[613,] -2 3 -4 2 3
[614,] -2 3 -4 5 -3
[615,] -2 3 1 -5 2
[616,] -2 4 -1 -4 2
[617,] 2 -4 3 -4 2
[618,] -2 -2 3 -4 2
[619,] -2 1 -3 -1 2
[620,] 2 -1 -3 -1 2
[621,] 1 1 -4 -1 2
[622,] 1 -3 4 -5 2
[623,] 1 -3 -1 5 -3
[624,] 1 -3 -1 2 3
[625,] -1 -2 -1 2 3
[626,] -1 -2 -1 5 -3
[627,] -1 -2 4 -5 2
[628,] -1 2 -4 -1 2
[629,] 1 -2 -2 -1 2
[630,] -1 -1 -2 -1 2
[631,] -1 -3 2 -3 2
[632,] 1 -4 2 -3 2
[633,] -3 4 -2 -3 2
[634,] -3 2 2 -5 2
[635,] -3 2 -3 5 -3
[636,] -3 2 -3 2 3
[637,] 3 -1 -3 2 3
[638,] 3 -1 -3 5 -3
[639,] 3 -1 2 -5 2
[640,] 3 1 -2 -3 2
[641,] 4 -1 -1 -3 2
[642,] -4 3 -1 -3 2
[643,] -4 2 1 -4 2
[644,] 4 -2 1 -4 2
[645,] 2 2 -1 -4 2
[646,] 2 1 1 -5 2
[647,] 2 1 -4 5 -3
[648,] 2 1 -4 2 3
[649,] 2 -3 4 -2 3
[650,] 2 -3 4 1 -3
[651,] 2 -3 5 -1 -2
[652,] 2 2 -5 4 -2
[653,] 4 -2 -3 4 -2
[654,] -4 2 -3 4 -2
[655,] -4 2 -3 2 2
[656,] 4 -2 -3 2 2
[657,] 2 2 -5 2 2
[658,] 2 -3 5 -3 2
[659,] 2 -3 2 3 -1
[660,] 2 -3 2 2 1
[661,] -1 3 -1 2 1
[662,] -1 3 -1 3 -1
[663,] -1 3 2 -3 2
[664,] -1 5 -2 -1 2
[665,] 4 -5 3 -1 2
[666,] -4 -1 3 -1 2
[667,] -4 -1 3 1 -2
[668,] 4 -5 3 1 -2
[669,] -1 5 -2 1 -2
[670,] -1 3 2 -1 -2
[671,] -1 3 1 1 -3
[672,] -1 3 1 -2 3
[673,] -1 4 -1 -1 3
[674,] -1 4 -1 2 -3
[675,] -1 4 1 -2 -1
[676,] -1 5 -1 -1 -1
[677,] 4 -5 4 -1 -1
[678,] -4 -1 4 -1 -1
[679,] -4 3 -4 3 -1
[680,] 4 -1 -4 3 -1
[681,] 3 1 -5 3 -1
[682,] 3 -4 5 -2 -1
[683,] 3 -4 3 2 -3
[684,] 3 -4 3 -1 3
[685,] -3 -1 3 -1 3
[686,] -3 -1 3 2 -3
[687,] -3 -1 5 -2 -1
[688,] -3 4 -5 3 -1
[689,] 1 -4 -1 3 -1
[690,] -1 -3 -1 3 -1
[691,] -1 -3 -1 2 1
[692,] 1 -4 -1 2 1
[693,] -3 4 -5 2 1
[694,] -3 -1 5 -3 1
[695,] -3 -1 2 3 -2
[696,] -3 -1 2 1 2
[697,] 3 -4 2 1 2
[698,] 3 -4 2 3 -2
[699,] 3 -4 5 -3 1
[700,] 3 1 -5 2 1
[701,] 4 -1 -4 2 1
[702,] -4 3 -4 2 1
[703,] -4 -1 4 -2 1
[704,] 4 -5 4 -2 1
[705,] -1 5 -1 -2 1
[706,] -1 4 1 -3 1
[707,] -1 4 -2 3 -2
[708,] -1 4 -2 1 2
[709,] -1 2 2 -1 2
[710,] -1 2 2 1 -2
[711,] -1 2 3 -1 -1
[712,] -1 5 -3 2 -1
[713,] 4 -5 2 2 -1
[714,] -4 -1 2 2 -1
[715,] -4 -1 2 1 1
[716,] 4 -5 2 1 1
[717,] -1 5 -3 1 1
[718,] -1 2 3 -2 1
[719,] -1 2 1 2 -1
[720,] -1 2 1 1 1
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