feat: finish assignment 2

This commit is contained in:
Renge 2024-03-09 23:16:18 +08:00
parent b10f16f5dd
commit 794f9907c8
11 changed files with 843 additions and 779 deletions

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@ -1,100 +1,100 @@
let dist[1][1] := 7; let dist[1, 1] := 7;
let dist[1][2] := 13; let dist[1, 2] := 13;
let dist[1][3] := 12; let dist[1, 3] := 12;
let dist[1][4] := 10; let dist[1, 4] := 10;
let dist[1][5] := 13; let dist[1, 5] := 13;
let dist[1][6] := 13; let dist[1, 6] := 13;
let dist[1][7] := 18; let dist[1, 7] := 18;
let dist[1][8] := 3; let dist[1, 8] := 3;
let dist[1][9] := 3; let dist[1, 9] := 3;
let dist[1][10] := 12; let dist[1, 10] := 12;
let dist[2][1] := 9; let dist[2, 1] := 9;
let dist[2][2] := 14; let dist[2, 2] := 14;
let dist[2][3] := 20; let dist[2, 3] := 20;
let dist[2][4] := 7; let dist[2, 4] := 7;
let dist[2][5] := 18; let dist[2, 5] := 18;
let dist[2][6] := 11; let dist[2, 6] := 11;
let dist[2][7] := 2; let dist[2, 7] := 2;
let dist[2][8] := 16; let dist[2, 8] := 16;
let dist[2][9] := 2; let dist[2, 9] := 2;
let dist[2][10] := 4; let dist[2, 10] := 4;
let dist[3][1] := 11; let dist[3, 1] := 11;
let dist[3][2] := 14; let dist[3, 2] := 14;
let dist[3][3] := 19; let dist[3, 3] := 19;
let dist[3][4] := 4; let dist[3, 4] := 4;
let dist[3][5] := 13; let dist[3, 5] := 13;
let dist[3][6] := 7; let dist[3, 6] := 7;
let dist[3][7] := 6; let dist[3, 7] := 6;
let dist[3][8] := 17; let dist[3, 8] := 17;
let dist[3][9] := 10; let dist[3, 9] := 10;
let dist[3][10] := 13; let dist[3, 10] := 13;
let dist[4][1] := 18; let dist[4, 1] := 18;
let dist[4][2] := 12; let dist[4, 2] := 12;
let dist[4][3] := 15; let dist[4, 3] := 15;
let dist[4][4] := 11; let dist[4, 4] := 11;
let dist[4][5] := 7; let dist[4, 5] := 7;
let dist[4][6] := 19; let dist[4, 6] := 19;
let dist[4][7] := 20; let dist[4, 7] := 20;
let dist[4][8] := 4; let dist[4, 8] := 4;
let dist[4][9] := 12; let dist[4, 9] := 12;
let dist[4][10] := 14; let dist[4, 10] := 14;
let dist[5][1] := 6; let dist[5, 1] := 6;
let dist[5][2] := 15; let dist[5, 2] := 15;
let dist[5][3] := 5; let dist[5, 3] := 5;
let dist[5][4] := 1; let dist[5, 4] := 1;
let dist[5][5] := 20; let dist[5, 5] := 20;
let dist[5][6] := 19; let dist[5, 6] := 19;
let dist[5][7] := 2; let dist[5, 7] := 2;
let dist[5][8] := 20; let dist[5, 8] := 20;
let dist[5][9] := 20; let dist[5, 9] := 20;
let dist[5][10] := 14; let dist[5, 10] := 14;
let dist[6][1] := 7; let dist[6, 1] := 7;
let dist[6][2] := 12; let dist[6, 2] := 12;
let dist[6][3] := 11; let dist[6, 3] := 11;
let dist[6][4] := 8; let dist[6, 4] := 8;
let dist[6][5] := 2; let dist[6, 5] := 2;
let dist[6][6] := 18; let dist[6, 6] := 18;
let dist[6][7] := 20; let dist[6, 7] := 20;
let dist[6][8] := 9; let dist[6, 8] := 9;
let dist[6][9] := 3; let dist[6, 9] := 3;
let dist[6][10] := 7; let dist[6, 10] := 7;
let dist[7][1] := 7; let dist[7, 1] := 7;
let dist[7][2] := 14; let dist[7, 2] := 14;
let dist[7][3] := 15; let dist[7, 3] := 15;
let dist[7][4] := 7; let dist[7, 4] := 7;
let dist[7][5] := 18; let dist[7, 5] := 18;
let dist[7][6] := 16; let dist[7, 6] := 16;
let dist[7][7] := 6; let dist[7, 7] := 6;
let dist[7][8] := 8; let dist[7, 8] := 8;
let dist[7][9] := 3; let dist[7, 9] := 3;
let dist[7][10] := 14; let dist[7, 10] := 14;
let dist[8][1] := 12; let dist[8, 1] := 12;
let dist[8][2] := 8; let dist[8, 2] := 8;
let dist[8][3] := 9; let dist[8, 3] := 9;
let dist[8][4] := 2; let dist[8, 4] := 2;
let dist[8][5] := 4; let dist[8, 5] := 4;
let dist[8][6] := 16; let dist[8, 6] := 16;
let dist[8][7] := 8; let dist[8, 7] := 8;
let dist[8][8] := 2; let dist[8, 8] := 2;
let dist[8][9] := 12; let dist[8, 9] := 12;
let dist[8][10] := 9; let dist[8, 10] := 9;
let dist[9][1] := 15; let dist[9, 1] := 15;
let dist[9][2] := 7; let dist[9, 2] := 7;
let dist[9][3] := 16; let dist[9, 3] := 16;
let dist[9][4] := 2; let dist[9, 4] := 2;
let dist[9][5] := 16; let dist[9, 5] := 16;
let dist[9][6] := 14; let dist[9, 6] := 14;
let dist[9][7] := 13; let dist[9, 7] := 13;
let dist[9][8] := 4; let dist[9, 8] := 4;
let dist[9][9] := 1; let dist[9, 9] := 1;
let dist[9][10] := 19; let dist[9, 10] := 19;
let dist[10][1] := 11; let dist[10, 1] := 11;
let dist[10][2] := 11; let dist[10, 2] := 11;
let dist[10][3] := 16; let dist[10, 3] := 16;
let dist[10][4] := 14; let dist[10, 4] := 14;
let dist[10][5] := 20; let dist[10, 5] := 20;
let dist[10][6] := 11; let dist[10, 6] := 11;
let dist[10][7] := 3; let dist[10, 7] := 3;
let dist[10][8] := 15; let dist[10, 8] := 15;
let dist[10][9] := 17; let dist[10, 9] := 17;
let dist[10][10] := 13; let dist[10, 10] := 13;

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@ -1,225 +1,225 @@
let dist[1][1] := 11; let dist[1, 1] := 11;
let dist[1][2] := 4; let dist[1, 2] := 4;
let dist[1][3] := 4; let dist[1, 3] := 4;
let dist[1][4] := 14; let dist[1, 4] := 14;
let dist[1][5] := 12; let dist[1, 5] := 12;
let dist[1][6] := 20; let dist[1, 6] := 20;
let dist[1][7] := 1; let dist[1, 7] := 1;
let dist[1][8] := 1; let dist[1, 8] := 1;
let dist[1][9] := 14; let dist[1, 9] := 14;
let dist[1][10] := 12; let dist[1, 10] := 12;
let dist[1][11] := 15; let dist[1, 11] := 15;
let dist[1][12] := 15; let dist[1, 12] := 15;
let dist[1][13] := 18; let dist[1, 13] := 18;
let dist[1][14] := 11; let dist[1, 14] := 11;
let dist[1][15] := 19; let dist[1, 15] := 19;
let dist[2][1] := 5; let dist[2, 1] := 5;
let dist[2][2] := 13; let dist[2, 2] := 13;
let dist[2][3] := 3; let dist[2, 3] := 3;
let dist[2][4] := 6; let dist[2, 4] := 6;
let dist[2][5] := 15; let dist[2, 5] := 15;
let dist[2][6] := 6; let dist[2, 6] := 6;
let dist[2][7] := 7; let dist[2, 7] := 7;
let dist[2][8] := 5; let dist[2, 8] := 5;
let dist[2][9] := 3; let dist[2, 9] := 3;
let dist[2][10] := 19; let dist[2, 10] := 19;
let dist[2][11] := 11; let dist[2, 11] := 11;
let dist[2][12] := 8; let dist[2, 12] := 8;
let dist[2][13] := 13; let dist[2, 13] := 13;
let dist[2][14] := 6; let dist[2, 14] := 6;
let dist[2][15] := 12; let dist[2, 15] := 12;
let dist[3][1] := 3; let dist[3, 1] := 3;
let dist[3][2] := 4; let dist[3, 2] := 4;
let dist[3][3] := 10; let dist[3, 3] := 10;
let dist[3][4] := 2; let dist[3, 4] := 2;
let dist[3][5] := 3; let dist[3, 5] := 3;
let dist[3][6] := 1; let dist[3, 6] := 1;
let dist[3][7] := 1; let dist[3, 7] := 1;
let dist[3][8] := 2; let dist[3, 8] := 2;
let dist[3][9] := 11; let dist[3, 9] := 11;
let dist[3][10] := 2; let dist[3, 10] := 2;
let dist[3][11] := 9; let dist[3, 11] := 9;
let dist[3][12] := 10; let dist[3, 12] := 10;
let dist[3][13] := 14; let dist[3, 13] := 14;
let dist[3][14] := 20; let dist[3, 14] := 20;
let dist[3][15] := 19; let dist[3, 15] := 19;
let dist[4][1] := 17; let dist[4, 1] := 17;
let dist[4][2] := 3; let dist[4, 2] := 3;
let dist[4][3] := 17; let dist[4, 3] := 17;
let dist[4][4] := 4; let dist[4, 4] := 4;
let dist[4][5] := 13; let dist[4, 5] := 13;
let dist[4][6] := 19; let dist[4, 6] := 19;
let dist[4][7] := 20; let dist[4, 7] := 20;
let dist[4][8] := 12; let dist[4, 8] := 12;
let dist[4][9] := 18; let dist[4, 9] := 18;
let dist[4][10] := 9; let dist[4, 10] := 9;
let dist[4][11] := 11; let dist[4, 11] := 11;
let dist[4][12] := 20; let dist[4, 12] := 20;
let dist[4][13] := 16; let dist[4, 13] := 16;
let dist[4][14] := 18; let dist[4, 14] := 18;
let dist[4][15] := 19; let dist[4, 15] := 19;
let dist[5][1] := 6; let dist[5, 1] := 6;
let dist[5][2] := 5; let dist[5, 2] := 5;
let dist[5][3] := 2; let dist[5, 3] := 2;
let dist[5][4] := 14; let dist[5, 4] := 14;
let dist[5][5] := 20; let dist[5, 5] := 20;
let dist[5][6] := 8; let dist[5, 6] := 8;
let dist[5][7] := 15; let dist[5, 7] := 15;
let dist[5][8] := 6; let dist[5, 8] := 6;
let dist[5][9] := 2; let dist[5, 9] := 2;
let dist[5][10] := 13; let dist[5, 10] := 13;
let dist[5][11] := 12; let dist[5, 11] := 12;
let dist[5][12] := 7; let dist[5, 12] := 7;
let dist[5][13] := 4; let dist[5, 13] := 4;
let dist[5][14] := 9; let dist[5, 14] := 9;
let dist[5][15] := 6; let dist[5, 15] := 6;
let dist[6][1] := 6; let dist[6, 1] := 6;
let dist[6][2] := 6; let dist[6, 2] := 6;
let dist[6][3] := 14; let dist[6, 3] := 14;
let dist[6][4] := 6; let dist[6, 4] := 6;
let dist[6][5] := 9; let dist[6, 5] := 9;
let dist[6][6] := 20; let dist[6, 6] := 20;
let dist[6][7] := 14; let dist[6, 7] := 14;
let dist[6][8] := 13; let dist[6, 8] := 13;
let dist[6][9] := 19; let dist[6, 9] := 19;
let dist[6][10] := 12; let dist[6, 10] := 12;
let dist[6][11] := 1; let dist[6, 11] := 1;
let dist[6][12] := 1; let dist[6, 12] := 1;
let dist[6][13] := 1; let dist[6, 13] := 1;
let dist[6][14] := 17; let dist[6, 14] := 17;
let dist[6][15] := 11; let dist[6, 15] := 11;
let dist[7][1] := 15; let dist[7, 1] := 15;
let dist[7][2] := 5; let dist[7, 2] := 5;
let dist[7][3] := 4; let dist[7, 3] := 4;
let dist[7][4] := 13; let dist[7, 4] := 13;
let dist[7][5] := 16; let dist[7, 5] := 16;
let dist[7][6] := 1; let dist[7, 6] := 1;
let dist[7][7] := 6; let dist[7, 7] := 6;
let dist[7][8] := 12; let dist[7, 8] := 12;
let dist[7][9] := 13; let dist[7, 9] := 13;
let dist[7][10] := 5; let dist[7, 10] := 5;
let dist[7][11] := 1; let dist[7, 11] := 1;
let dist[7][12] := 15; let dist[7, 12] := 15;
let dist[7][13] := 18; let dist[7, 13] := 18;
let dist[7][14] := 19; let dist[7, 14] := 19;
let dist[7][15] := 4; let dist[7, 15] := 4;
let dist[8][1] := 6; let dist[8, 1] := 6;
let dist[8][2] := 13; let dist[8, 2] := 13;
let dist[8][3] := 2; let dist[8, 3] := 2;
let dist[8][4] := 5; let dist[8, 4] := 5;
let dist[8][5] := 10; let dist[8, 5] := 10;
let dist[8][6] := 6; let dist[8, 6] := 6;
let dist[8][7] := 18; let dist[8, 7] := 18;
let dist[8][8] := 10; let dist[8, 8] := 10;
let dist[8][9] := 3; let dist[8, 9] := 3;
let dist[8][10] := 12; let dist[8, 10] := 12;
let dist[8][11] := 15; let dist[8, 11] := 15;
let dist[8][12] := 7; let dist[8, 12] := 7;
let dist[8][13] := 17; let dist[8, 13] := 17;
let dist[8][14] := 19; let dist[8, 14] := 19;
let dist[8][15] := 1; let dist[8, 15] := 1;
let dist[9][1] := 15; let dist[9, 1] := 15;
let dist[9][2] := 11; let dist[9, 2] := 11;
let dist[9][3] := 12; let dist[9, 3] := 12;
let dist[9][4] := 18; let dist[9, 4] := 18;
let dist[9][5] := 9; let dist[9, 5] := 9;
let dist[9][6] := 20; let dist[9, 6] := 20;
let dist[9][7] := 19; let dist[9, 7] := 19;
let dist[9][8] := 9; let dist[9, 8] := 9;
let dist[9][9] := 8; let dist[9, 9] := 8;
let dist[9][10] := 4; let dist[9, 10] := 4;
let dist[9][11] := 5; let dist[9, 11] := 5;
let dist[9][12] := 19; let dist[9, 12] := 19;
let dist[9][13] := 8; let dist[9, 13] := 8;
let dist[9][14] := 5; let dist[9, 14] := 5;
let dist[9][15] := 14; let dist[9, 15] := 14;
let dist[10][1] := 1; let dist[10, 1] := 1;
let dist[10][2] := 4; let dist[10, 2] := 4;
let dist[10][3] := 19; let dist[10, 3] := 19;
let dist[10][4] := 7; let dist[10, 4] := 7;
let dist[10][5] := 20; let dist[10, 5] := 20;
let dist[10][6] := 11; let dist[10, 6] := 11;
let dist[10][7] := 5; let dist[10, 7] := 5;
let dist[10][8] := 11; let dist[10, 8] := 11;
let dist[10][9] := 9; let dist[10, 9] := 9;
let dist[10][10] := 19; let dist[10, 10] := 19;
let dist[10][11] := 15; let dist[10, 11] := 15;
let dist[10][12] := 8; let dist[10, 12] := 8;
let dist[10][13] := 12; let dist[10, 13] := 12;
let dist[10][14] := 4; let dist[10, 14] := 4;
let dist[10][15] := 19; let dist[10, 15] := 19;
let dist[11][1] := 20; let dist[11, 1] := 20;
let dist[11][2] := 12; let dist[11, 2] := 12;
let dist[11][3] := 5; let dist[11, 3] := 5;
let dist[11][4] := 18; let dist[11, 4] := 18;
let dist[11][5] := 10; let dist[11, 5] := 10;
let dist[11][6] := 19; let dist[11, 6] := 19;
let dist[11][7] := 1; let dist[11, 7] := 1;
let dist[11][8] := 3; let dist[11, 8] := 3;
let dist[11][9] := 8; let dist[11, 9] := 8;
let dist[11][10] := 18; let dist[11, 10] := 18;
let dist[11][11] := 13; let dist[11, 11] := 13;
let dist[11][12] := 20; let dist[11, 12] := 20;
let dist[11][13] := 2; let dist[11, 13] := 2;
let dist[11][14] := 13; let dist[11, 14] := 13;
let dist[11][15] := 13; let dist[11, 15] := 13;
let dist[12][1] := 5; let dist[12, 1] := 5;
let dist[12][2] := 12; let dist[12, 2] := 12;
let dist[12][3] := 9; let dist[12, 3] := 9;
let dist[12][4] := 2; let dist[12, 4] := 2;
let dist[12][5] := 10; let dist[12, 5] := 10;
let dist[12][6] := 3; let dist[12, 6] := 3;
let dist[12][7] := 10; let dist[12, 7] := 10;
let dist[12][8] := 18; let dist[12, 8] := 18;
let dist[12][9] := 10; let dist[12, 9] := 10;
let dist[12][10] := 18; let dist[12, 10] := 18;
let dist[12][11] := 1; let dist[12, 11] := 1;
let dist[12][12] := 16; let dist[12, 12] := 16;
let dist[12][13] := 6; let dist[12, 13] := 6;
let dist[12][14] := 8; let dist[12, 14] := 8;
let dist[12][15] := 20; let dist[12, 15] := 20;
let dist[13][1] := 1; let dist[13, 1] := 1;
let dist[13][2] := 20; let dist[13, 2] := 20;
let dist[13][3] := 4; let dist[13, 3] := 4;
let dist[13][4] := 12; let dist[13, 4] := 12;
let dist[13][5] := 4; let dist[13, 5] := 4;
let dist[13][6] := 19; let dist[13, 6] := 19;
let dist[13][7] := 17; let dist[13, 7] := 17;
let dist[13][8] := 12; let dist[13, 8] := 12;
let dist[13][9] := 19; let dist[13, 9] := 19;
let dist[13][10] := 13; let dist[13, 10] := 13;
let dist[13][11] := 2; let dist[13, 11] := 2;
let dist[13][12] := 5; let dist[13, 12] := 5;
let dist[13][13] := 2; let dist[13, 13] := 2;
let dist[13][14] := 5; let dist[13, 14] := 5;
let dist[13][15] := 5; let dist[13, 15] := 5;
let dist[14][1] := 2; let dist[14, 1] := 2;
let dist[14][2] := 1; let dist[14, 2] := 1;
let dist[14][3] := 16; let dist[14, 3] := 16;
let dist[14][4] := 2; let dist[14, 4] := 2;
let dist[14][5] := 15; let dist[14, 5] := 15;
let dist[14][6] := 20; let dist[14, 6] := 20;
let dist[14][7] := 12; let dist[14, 7] := 12;
let dist[14][8] := 6; let dist[14, 8] := 6;
let dist[14][9] := 5; let dist[14, 9] := 5;
let dist[14][10] := 9; let dist[14, 10] := 9;
let dist[14][11] := 4; let dist[14, 11] := 4;
let dist[14][12] := 19; let dist[14, 12] := 19;
let dist[14][13] := 9; let dist[14, 13] := 9;
let dist[14][14] := 1; let dist[14, 14] := 1;
let dist[14][15] := 13; let dist[14, 15] := 13;
let dist[15][1] := 12; let dist[15, 1] := 12;
let dist[15][2] := 9; let dist[15, 2] := 9;
let dist[15][3] := 20; let dist[15, 3] := 20;
let dist[15][4] := 9; let dist[15, 4] := 9;
let dist[15][5] := 2; let dist[15, 5] := 2;
let dist[15][6] := 6; let dist[15, 6] := 6;
let dist[15][7] := 17; let dist[15, 7] := 17;
let dist[15][8] := 12; let dist[15, 8] := 12;
let dist[15][9] := 11; let dist[15, 9] := 11;
let dist[15][10] := 19; let dist[15, 10] := 19;
let dist[15][11] := 20; let dist[15, 11] := 20;
let dist[15][12] := 6; let dist[15, 12] := 6;
let dist[15][13] := 3; let dist[15, 13] := 3;
let dist[15][14] := 12; let dist[15, 14] := 12;
let dist[15][15] := 18; let dist[15, 15] := 18;

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@ -1,400 +1,400 @@
let dist[1][1] := 8; let dist[1, 1] := 8;
let dist[1][2] := 8; let dist[1, 2] := 8;
let dist[1][3] := 15; let dist[1, 3] := 15;
let dist[1][4] := 7; let dist[1, 4] := 7;
let dist[1][5] := 11; let dist[1, 5] := 11;
let dist[1][6] := 17; let dist[1, 6] := 17;
let dist[1][7] := 8; let dist[1, 7] := 8;
let dist[1][8] := 3; let dist[1, 8] := 3;
let dist[1][9] := 4; let dist[1, 9] := 4;
let dist[1][10] := 11; let dist[1, 10] := 11;
let dist[1][11] := 9; let dist[1, 11] := 9;
let dist[1][12] := 6; let dist[1, 12] := 6;
let dist[1][13] := 2; let dist[1, 13] := 2;
let dist[1][14] := 7; let dist[1, 14] := 7;
let dist[1][15] := 15; let dist[1, 15] := 15;
let dist[1][16] := 6; let dist[1, 16] := 6;
let dist[1][17] := 16; let dist[1, 17] := 16;
let dist[1][18] := 5; let dist[1, 18] := 5;
let dist[1][19] := 9; let dist[1, 19] := 9;
let dist[1][20] := 14; let dist[1, 20] := 14;
let dist[2][1] := 16; let dist[2, 1] := 16;
let dist[2][2] := 17; let dist[2, 2] := 17;
let dist[2][3] := 13; let dist[2, 3] := 13;
let dist[2][4] := 16; let dist[2, 4] := 16;
let dist[2][5] := 15; let dist[2, 5] := 15;
let dist[2][6] := 17; let dist[2, 6] := 17;
let dist[2][7] := 12; let dist[2, 7] := 12;
let dist[2][8] := 11; let dist[2, 8] := 11;
let dist[2][9] := 7; let dist[2, 9] := 7;
let dist[2][10] := 8; let dist[2, 10] := 8;
let dist[2][11] := 13; let dist[2, 11] := 13;
let dist[2][12] := 3; let dist[2, 12] := 3;
let dist[2][13] := 7; let dist[2, 13] := 7;
let dist[2][14] := 15; let dist[2, 14] := 15;
let dist[2][15] := 9; let dist[2, 15] := 9;
let dist[2][16] := 8; let dist[2, 16] := 8;
let dist[2][17] := 16; let dist[2, 17] := 16;
let dist[2][18] := 18; let dist[2, 18] := 18;
let dist[2][19] := 7; let dist[2, 19] := 7;
let dist[2][20] := 5; let dist[2, 20] := 5;
let dist[3][1] := 16; let dist[3, 1] := 16;
let dist[3][2] := 4; let dist[3, 2] := 4;
let dist[3][3] := 1; let dist[3, 3] := 1;
let dist[3][4] := 9; let dist[3, 4] := 9;
let dist[3][5] := 17; let dist[3, 5] := 17;
let dist[3][6] := 11; let dist[3, 6] := 11;
let dist[3][7] := 18; let dist[3, 7] := 18;
let dist[3][8] := 2; let dist[3, 8] := 2;
let dist[3][9] := 16; let dist[3, 9] := 16;
let dist[3][10] := 13; let dist[3, 10] := 13;
let dist[3][11] := 6; let dist[3, 11] := 6;
let dist[3][12] := 5; let dist[3, 12] := 5;
let dist[3][13] := 2; let dist[3, 13] := 2;
let dist[3][14] := 7; let dist[3, 14] := 7;
let dist[3][15] := 18; let dist[3, 15] := 18;
let dist[3][16] := 16; let dist[3, 16] := 16;
let dist[3][17] := 19; let dist[3, 17] := 19;
let dist[3][18] := 14; let dist[3, 18] := 14;
let dist[3][19] := 14; let dist[3, 19] := 14;
let dist[3][20] := 9; let dist[3, 20] := 9;
let dist[4][1] := 9; let dist[4, 1] := 9;
let dist[4][2] := 9; let dist[4, 2] := 9;
let dist[4][3] := 7; let dist[4, 3] := 7;
let dist[4][4] := 12; let dist[4, 4] := 12;
let dist[4][5] := 16; let dist[4, 5] := 16;
let dist[4][6] := 12; let dist[4, 6] := 12;
let dist[4][7] := 3; let dist[4, 7] := 3;
let dist[4][8] := 5; let dist[4, 8] := 5;
let dist[4][9] := 16; let dist[4, 9] := 16;
let dist[4][10] := 18; let dist[4, 10] := 18;
let dist[4][11] := 10; let dist[4, 11] := 10;
let dist[4][12] := 7; let dist[4, 12] := 7;
let dist[4][13] := 6; let dist[4, 13] := 6;
let dist[4][14] := 12; let dist[4, 14] := 12;
let dist[4][15] := 4; let dist[4, 15] := 4;
let dist[4][16] := 5; let dist[4, 16] := 5;
let dist[4][17] := 14; let dist[4, 17] := 14;
let dist[4][18] := 11; let dist[4, 18] := 11;
let dist[4][19] := 5; let dist[4, 19] := 5;
let dist[4][20] := 5; let dist[4, 20] := 5;
let dist[5][1] := 5; let dist[5, 1] := 5;
let dist[5][2] := 2; let dist[5, 2] := 2;
let dist[5][3] := 16; let dist[5, 3] := 16;
let dist[5][4] := 18; let dist[5, 4] := 18;
let dist[5][5] := 15; let dist[5, 5] := 15;
let dist[5][6] := 15; let dist[5, 6] := 15;
let dist[5][7] := 8; let dist[5, 7] := 8;
let dist[5][8] := 10; let dist[5, 8] := 10;
let dist[5][9] := 15; let dist[5, 9] := 15;
let dist[5][10] := 18; let dist[5, 10] := 18;
let dist[5][11] := 10; let dist[5, 11] := 10;
let dist[5][12] := 7; let dist[5, 12] := 7;
let dist[5][13] := 2; let dist[5, 13] := 2;
let dist[5][14] := 1; let dist[5, 14] := 1;
let dist[5][15] := 15; let dist[5, 15] := 15;
let dist[5][16] := 17; let dist[5, 16] := 17;
let dist[5][17] := 2; let dist[5, 17] := 2;
let dist[5][18] := 15; let dist[5, 18] := 15;
let dist[5][19] := 9; let dist[5, 19] := 9;
let dist[5][20] := 6; let dist[5, 20] := 6;
let dist[6][1] := 9; let dist[6, 1] := 9;
let dist[6][2] := 7; let dist[6, 2] := 7;
let dist[6][3] := 11; let dist[6, 3] := 11;
let dist[6][4] := 10; let dist[6, 4] := 10;
let dist[6][5] := 12; let dist[6, 5] := 12;
let dist[6][6] := 6; let dist[6, 6] := 6;
let dist[6][7] := 10; let dist[6, 7] := 10;
let dist[6][8] := 1; let dist[6, 8] := 1;
let dist[6][9] := 5; let dist[6, 9] := 5;
let dist[6][10] := 20; let dist[6, 10] := 20;
let dist[6][11] := 19; let dist[6, 11] := 19;
let dist[6][12] := 12; let dist[6, 12] := 12;
let dist[6][13] := 13; let dist[6, 13] := 13;
let dist[6][14] := 1; let dist[6, 14] := 1;
let dist[6][15] := 19; let dist[6, 15] := 19;
let dist[6][16] := 16; let dist[6, 16] := 16;
let dist[6][17] := 17; let dist[6, 17] := 17;
let dist[6][18] := 20; let dist[6, 18] := 20;
let dist[6][19] := 16; let dist[6, 19] := 16;
let dist[6][20] := 2; let dist[6, 20] := 2;
let dist[7][1] := 15; let dist[7, 1] := 15;
let dist[7][2] := 7; let dist[7, 2] := 7;
let dist[7][3] := 3; let dist[7, 3] := 3;
let dist[7][4] := 15; let dist[7, 4] := 15;
let dist[7][5] := 20; let dist[7, 5] := 20;
let dist[7][6] := 5; let dist[7, 6] := 5;
let dist[7][7] := 10; let dist[7, 7] := 10;
let dist[7][8] := 4; let dist[7, 8] := 4;
let dist[7][9] := 20; let dist[7, 9] := 20;
let dist[7][10] := 13; let dist[7, 10] := 13;
let dist[7][11] := 5; let dist[7, 11] := 5;
let dist[7][12] := 11; let dist[7, 12] := 11;
let dist[7][13] := 20; let dist[7, 13] := 20;
let dist[7][14] := 16; let dist[7, 14] := 16;
let dist[7][15] := 13; let dist[7, 15] := 13;
let dist[7][16] := 4; let dist[7, 16] := 4;
let dist[7][17] := 7; let dist[7, 17] := 7;
let dist[7][18] := 11; let dist[7, 18] := 11;
let dist[7][19] := 13; let dist[7, 19] := 13;
let dist[7][20] := 17; let dist[7, 20] := 17;
let dist[8][1] := 11; let dist[8, 1] := 11;
let dist[8][2] := 16; let dist[8, 2] := 16;
let dist[8][3] := 19; let dist[8, 3] := 19;
let dist[8][4] := 15; let dist[8, 4] := 15;
let dist[8][5] := 12; let dist[8, 5] := 12;
let dist[8][6] := 12; let dist[8, 6] := 12;
let dist[8][7] := 10; let dist[8, 7] := 10;
let dist[8][8] := 9; let dist[8, 8] := 9;
let dist[8][9] := 1; let dist[8, 9] := 1;
let dist[8][10] := 15; let dist[8, 10] := 15;
let dist[8][11] := 17; let dist[8, 11] := 17;
let dist[8][12] := 17; let dist[8, 12] := 17;
let dist[8][13] := 18; let dist[8, 13] := 18;
let dist[8][14] := 17; let dist[8, 14] := 17;
let dist[8][15] := 9; let dist[8, 15] := 9;
let dist[8][16] := 12; let dist[8, 16] := 12;
let dist[8][17] := 9; let dist[8, 17] := 9;
let dist[8][18] := 4; let dist[8, 18] := 4;
let dist[8][19] := 17; let dist[8, 19] := 17;
let dist[8][20] := 3; let dist[8, 20] := 3;
let dist[9][1] := 2; let dist[9, 1] := 2;
let dist[9][2] := 5; let dist[9, 2] := 5;
let dist[9][3] := 16; let dist[9, 3] := 16;
let dist[9][4] := 14; let dist[9, 4] := 14;
let dist[9][5] := 5; let dist[9, 5] := 5;
let dist[9][6] := 3; let dist[9, 6] := 3;
let dist[9][7] := 16; let dist[9, 7] := 16;
let dist[9][8] := 7; let dist[9, 8] := 7;
let dist[9][9] := 3; let dist[9, 9] := 3;
let dist[9][10] := 2; let dist[9, 10] := 2;
let dist[9][11] := 1; let dist[9, 11] := 1;
let dist[9][12] := 3; let dist[9, 12] := 3;
let dist[9][13] := 20; let dist[9, 13] := 20;
let dist[9][14] := 16; let dist[9, 14] := 16;
let dist[9][15] := 14; let dist[9, 15] := 14;
let dist[9][16] := 9; let dist[9, 16] := 9;
let dist[9][17] := 10; let dist[9, 17] := 10;
let dist[9][18] := 18; let dist[9, 18] := 18;
let dist[9][19] := 20; let dist[9, 19] := 20;
let dist[9][20] := 8; let dist[9, 20] := 8;
let dist[10][1] := 9; let dist[10, 1] := 9;
let dist[10][2] := 4; let dist[10, 2] := 4;
let dist[10][3] := 20; let dist[10, 3] := 20;
let dist[10][4] := 2; let dist[10, 4] := 2;
let dist[10][5] := 11; let dist[10, 5] := 11;
let dist[10][6] := 19; let dist[10, 6] := 19;
let dist[10][7] := 5; let dist[10, 7] := 5;
let dist[10][8] := 3; let dist[10, 8] := 3;
let dist[10][9] := 11; let dist[10, 9] := 11;
let dist[10][10] := 2; let dist[10, 10] := 2;
let dist[10][11] := 13; let dist[10, 11] := 13;
let dist[10][12] := 20; let dist[10, 12] := 20;
let dist[10][13] := 17; let dist[10, 13] := 17;
let dist[10][14] := 5; let dist[10, 14] := 5;
let dist[10][15] := 12; let dist[10, 15] := 12;
let dist[10][16] := 17; let dist[10, 16] := 17;
let dist[10][17] := 17; let dist[10, 17] := 17;
let dist[10][18] := 9; let dist[10, 18] := 9;
let dist[10][19] := 5; let dist[10, 19] := 5;
let dist[10][20] := 4; let dist[10, 20] := 4;
let dist[11][1] := 5; let dist[11, 1] := 5;
let dist[11][2] := 14; let dist[11, 2] := 14;
let dist[11][3] := 7; let dist[11, 3] := 7;
let dist[11][4] := 14; let dist[11, 4] := 14;
let dist[11][5] := 3; let dist[11, 5] := 3;
let dist[11][6] := 13; let dist[11, 6] := 13;
let dist[11][7] := 1; let dist[11, 7] := 1;
let dist[11][8] := 13; let dist[11, 8] := 13;
let dist[11][9] := 17; let dist[11, 9] := 17;
let dist[11][10] := 6; let dist[11, 10] := 6;
let dist[11][11] := 18; let dist[11, 11] := 18;
let dist[11][12] := 18; let dist[11, 12] := 18;
let dist[11][13] := 16; let dist[11, 13] := 16;
let dist[11][14] := 15; let dist[11, 14] := 15;
let dist[11][15] := 18; let dist[11, 15] := 18;
let dist[11][16] := 19; let dist[11, 16] := 19;
let dist[11][17] := 15; let dist[11, 17] := 15;
let dist[11][18] := 12; let dist[11, 18] := 12;
let dist[11][19] := 9; let dist[11, 19] := 9;
let dist[11][20] := 4; let dist[11, 20] := 4;
let dist[12][1] := 14; let dist[12, 1] := 14;
let dist[12][2] := 2; let dist[12, 2] := 2;
let dist[12][3] := 17; let dist[12, 3] := 17;
let dist[12][4] := 8; let dist[12, 4] := 8;
let dist[12][5] := 11; let dist[12, 5] := 11;
let dist[12][6] := 16; let dist[12, 6] := 16;
let dist[12][7] := 7; let dist[12, 7] := 7;
let dist[12][8] := 12; let dist[12, 8] := 12;
let dist[12][9] := 12; let dist[12, 9] := 12;
let dist[12][10] := 6; let dist[12, 10] := 6;
let dist[12][11] := 13; let dist[12, 11] := 13;
let dist[12][12] := 12; let dist[12, 12] := 12;
let dist[12][13] := 6; let dist[12, 13] := 6;
let dist[12][14] := 18; let dist[12, 14] := 18;
let dist[12][15] := 3; let dist[12, 15] := 3;
let dist[12][16] := 7; let dist[12, 16] := 7;
let dist[12][17] := 3; let dist[12, 17] := 3;
let dist[12][18] := 1; let dist[12, 18] := 1;
let dist[12][19] := 7; let dist[12, 19] := 7;
let dist[12][20] := 17; let dist[12, 20] := 17;
let dist[13][1] := 8; let dist[13, 1] := 8;
let dist[13][2] := 10; let dist[13, 2] := 10;
let dist[13][3] := 8; let dist[13, 3] := 8;
let dist[13][4] := 13; let dist[13, 4] := 13;
let dist[13][5] := 15; let dist[13, 5] := 15;
let dist[13][6] := 20; let dist[13, 6] := 20;
let dist[13][7] := 2; let dist[13, 7] := 2;
let dist[13][8] := 11; let dist[13, 8] := 11;
let dist[13][9] := 9; let dist[13, 9] := 9;
let dist[13][10] := 1; let dist[13, 10] := 1;
let dist[13][11] := 4; let dist[13, 11] := 4;
let dist[13][12] := 14; let dist[13, 12] := 14;
let dist[13][13] := 1; let dist[13, 13] := 1;
let dist[13][14] := 19; let dist[13, 14] := 19;
let dist[13][15] := 15; let dist[13, 15] := 15;
let dist[13][16] := 13; let dist[13, 16] := 13;
let dist[13][17] := 18; let dist[13, 17] := 18;
let dist[13][18] := 16; let dist[13, 18] := 16;
let dist[13][19] := 10; let dist[13, 19] := 10;
let dist[13][20] := 2; let dist[13, 20] := 2;
let dist[14][1] := 16; let dist[14, 1] := 16;
let dist[14][2] := 2; let dist[14, 2] := 2;
let dist[14][3] := 14; let dist[14, 3] := 14;
let dist[14][4] := 3; let dist[14, 4] := 3;
let dist[14][5] := 11; let dist[14, 5] := 11;
let dist[14][6] := 17; let dist[14, 6] := 17;
let dist[14][7] := 7; let dist[14, 7] := 7;
let dist[14][8] := 6; let dist[14, 8] := 6;
let dist[14][9] := 4; let dist[14, 9] := 4;
let dist[14][10] := 2; let dist[14, 10] := 2;
let dist[14][11] := 3; let dist[14, 11] := 3;
let dist[14][12] := 8; let dist[14, 12] := 8;
let dist[14][13] := 20; let dist[14, 13] := 20;
let dist[14][14] := 8; let dist[14, 14] := 8;
let dist[14][15] := 7; let dist[14, 15] := 7;
let dist[14][16] := 12; let dist[14, 16] := 12;
let dist[14][17] := 1; let dist[14, 17] := 1;
let dist[14][18] := 4; let dist[14, 18] := 4;
let dist[14][19] := 20; let dist[14, 19] := 20;
let dist[14][20] := 10; let dist[14, 20] := 10;
let dist[15][1] := 5; let dist[15, 1] := 5;
let dist[15][2] := 19; let dist[15, 2] := 19;
let dist[15][3] := 10; let dist[15, 3] := 10;
let dist[15][4] := 18; let dist[15, 4] := 18;
let dist[15][5] := 6; let dist[15, 5] := 6;
let dist[15][6] := 18; let dist[15, 6] := 18;
let dist[15][7] := 2; let dist[15, 7] := 2;
let dist[15][8] := 11; let dist[15, 8] := 11;
let dist[15][9] := 6; let dist[15, 9] := 6;
let dist[15][10] := 18; let dist[15, 10] := 18;
let dist[15][11] := 11; let dist[15, 11] := 11;
let dist[15][12] := 18; let dist[15, 12] := 18;
let dist[15][13] := 13; let dist[15, 13] := 13;
let dist[15][14] := 7; let dist[15, 14] := 7;
let dist[15][15] := 18; let dist[15, 15] := 18;
let dist[15][16] := 15; let dist[15, 16] := 15;
let dist[15][17] := 3; let dist[15, 17] := 3;
let dist[15][18] := 10; let dist[15, 18] := 10;
let dist[15][19] := 20; let dist[15, 19] := 20;
let dist[15][20] := 7; let dist[15, 20] := 7;
let dist[16][1] := 16; let dist[16, 1] := 16;
let dist[16][2] := 19; let dist[16, 2] := 19;
let dist[16][3] := 12; let dist[16, 3] := 12;
let dist[16][4] := 19; let dist[16, 4] := 19;
let dist[16][5] := 15; let dist[16, 5] := 15;
let dist[16][6] := 12; let dist[16, 6] := 12;
let dist[16][7] := 14; let dist[16, 7] := 14;
let dist[16][8] := 8; let dist[16, 8] := 8;
let dist[16][9] := 7; let dist[16, 9] := 7;
let dist[16][10] := 11; let dist[16, 10] := 11;
let dist[16][11] := 4; let dist[16, 11] := 4;
let dist[16][12] := 13; let dist[16, 12] := 13;
let dist[16][13] := 19; let dist[16, 13] := 19;
let dist[16][14] := 12; let dist[16, 14] := 12;
let dist[16][15] := 14; let dist[16, 15] := 14;
let dist[16][16] := 13; let dist[16, 16] := 13;
let dist[16][17] := 3; let dist[16, 17] := 3;
let dist[16][18] := 7; let dist[16, 18] := 7;
let dist[16][19] := 8; let dist[16, 19] := 8;
let dist[16][20] := 20; let dist[16, 20] := 20;
let dist[17][1] := 4; let dist[17, 1] := 4;
let dist[17][2] := 4; let dist[17, 2] := 4;
let dist[17][3] := 15; let dist[17, 3] := 15;
let dist[17][4] := 5; let dist[17, 4] := 5;
let dist[17][5] := 16; let dist[17, 5] := 16;
let dist[17][6] := 14; let dist[17, 6] := 14;
let dist[17][7] := 18; let dist[17, 7] := 18;
let dist[17][8] := 11; let dist[17, 8] := 11;
let dist[17][9] := 18; let dist[17, 9] := 18;
let dist[17][10] := 20; let dist[17, 10] := 20;
let dist[17][11] := 19; let dist[17, 11] := 19;
let dist[17][12] := 18; let dist[17, 12] := 18;
let dist[17][13] := 18; let dist[17, 13] := 18;
let dist[17][14] := 4; let dist[17, 14] := 4;
let dist[17][15] := 3; let dist[17, 15] := 3;
let dist[17][16] := 20; let dist[17, 16] := 20;
let dist[17][17] := 5; let dist[17, 17] := 5;
let dist[17][18] := 18; let dist[17, 18] := 18;
let dist[17][19] := 18; let dist[17, 19] := 18;
let dist[17][20] := 1; let dist[17, 20] := 1;
let dist[18][1] := 19; let dist[18, 1] := 19;
let dist[18][2] := 6; let dist[18, 2] := 6;
let dist[18][3] := 2; let dist[18, 3] := 2;
let dist[18][4] := 15; let dist[18, 4] := 15;
let dist[18][5] := 20; let dist[18, 5] := 20;
let dist[18][6] := 3; let dist[18, 6] := 3;
let dist[18][7] := 13; let dist[18, 7] := 13;
let dist[18][8] := 7; let dist[18, 8] := 7;
let dist[18][9] := 10; let dist[18, 9] := 10;
let dist[18][10] := 17; let dist[18, 10] := 17;
let dist[18][11] := 12; let dist[18, 11] := 12;
let dist[18][12] := 11; let dist[18, 12] := 11;
let dist[18][13] := 10; let dist[18, 13] := 10;
let dist[18][14] := 19; let dist[18, 14] := 19;
let dist[18][15] := 6; let dist[18, 15] := 6;
let dist[18][16] := 2; let dist[18, 16] := 2;
let dist[18][17] := 2; let dist[18, 17] := 2;
let dist[18][18] := 19; let dist[18, 18] := 19;
let dist[18][19] := 15; let dist[18, 19] := 15;
let dist[18][20] := 1; let dist[18, 20] := 1;
let dist[19][1] := 16; let dist[19, 1] := 16;
let dist[19][2] := 16; let dist[19, 2] := 16;
let dist[19][3] := 3; let dist[19, 3] := 3;
let dist[19][4] := 7; let dist[19, 4] := 7;
let dist[19][5] := 6; let dist[19, 5] := 6;
let dist[19][6] := 12; let dist[19, 6] := 12;
let dist[19][7] := 6; let dist[19, 7] := 6;
let dist[19][8] := 3; let dist[19, 8] := 3;
let dist[19][9] := 2; let dist[19, 9] := 2;
let dist[19][10] := 1; let dist[19, 10] := 1;
let dist[19][11] := 11; let dist[19, 11] := 11;
let dist[19][12] := 8; let dist[19, 12] := 8;
let dist[19][13] := 13; let dist[19, 13] := 13;
let dist[19][14] := 16; let dist[19, 14] := 16;
let dist[19][15] := 14; let dist[19, 15] := 14;
let dist[19][16] := 5; let dist[19, 16] := 5;
let dist[19][17] := 20; let dist[19, 17] := 20;
let dist[19][18] := 20; let dist[19, 18] := 20;
let dist[19][19] := 10; let dist[19, 19] := 10;
let dist[19][20] := 3; let dist[19, 20] := 3;
let dist[20][1] := 3; let dist[20, 1] := 3;
let dist[20][2] := 14; let dist[20, 2] := 14;
let dist[20][3] := 13; let dist[20, 3] := 13;
let dist[20][4] := 20; let dist[20, 4] := 20;
let dist[20][5] := 20; let dist[20, 5] := 20;
let dist[20][6] := 2; let dist[20, 6] := 2;
let dist[20][7] := 7; let dist[20, 7] := 7;
let dist[20][8] := 14; let dist[20, 8] := 14;
let dist[20][9] := 2; let dist[20, 9] := 2;
let dist[20][10] := 6; let dist[20, 10] := 6;
let dist[20][11] := 2; let dist[20, 11] := 2;
let dist[20][12] := 19; let dist[20, 12] := 19;
let dist[20][13] := 20; let dist[20, 13] := 20;
let dist[20][14] := 20; let dist[20, 14] := 20;
let dist[20][15] := 14; let dist[20, 15] := 14;
let dist[20][16] := 7; let dist[20, 16] := 7;
let dist[20][17] := 7; let dist[20, 17] := 7;
let dist[20][18] := 5; let dist[20, 18] := 5;
let dist[20][19] := 15; let dist[20, 19] := 15;
let dist[20][20] := 18; let dist[20, 20] := 18;

View File

@ -1,25 +1,25 @@
let dist[1][1] := 5; let dist[1, 1] := 5;
let dist[1][2] := 10; let dist[1, 2] := 10;
let dist[1][3] := 15; let dist[1, 3] := 15;
let dist[1][4] := 2; let dist[1, 4] := 2;
let dist[1][5] := 6; let dist[1, 5] := 6;
let dist[2][1] := 12; let dist[2, 1] := 12;
let dist[2][2] := 2; let dist[2, 2] := 2;
let dist[2][3] := 17; let dist[2, 3] := 17;
let dist[2][4] := 5; let dist[2, 4] := 5;
let dist[2][5] := 3; let dist[2, 5] := 3;
let dist[3][1] := 9; let dist[3, 1] := 9;
let dist[3][2] := 5; let dist[3, 2] := 5;
let dist[3][3] := 13; let dist[3, 3] := 13;
let dist[3][4] := 16; let dist[3, 4] := 16;
let dist[3][5] := 7; let dist[3, 5] := 7;
let dist[4][1] := 7; let dist[4, 1] := 7;
let dist[4][2] := 18; let dist[4, 2] := 18;
let dist[4][3] := 19; let dist[4, 3] := 19;
let dist[4][4] := 1; let dist[4, 4] := 1;
let dist[4][5] := 5; let dist[4, 5] := 5;
let dist[5][1] := 17; let dist[5, 1] := 17;
let dist[5][2] := 7; let dist[5, 2] := 7;
let dist[5][3] := 15; let dist[5, 3] := 15;
let dist[5][4] := 15; let dist[5, 4] := 15;
let dist[5][5] := 6; let dist[5, 5] := 6;

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@ -17,7 +17,7 @@ for i in range(x):
file1.write("edge({}, {}, {}).\n".format(str(chr(ord('a') + i)), str(chr(ord('a') + j)), k)) file1.write("edge({}, {}, {}).\n".format(str(chr(ord('a') + i)), str(chr(ord('a') + j)), k))
file4.write("edge({}, {}, {}).\n".format(str(chr(ord('a') + i)), str(chr(ord('a') + j)), k)) file4.write("edge({}, {}, {}).\n".format(str(chr(ord('a') + i)), str(chr(ord('a') + j)), k))
file2.write(str(k)) file2.write(str(k))
file3.write("let dist[{}][{}] := {};\n".format(i+1, j+1,k)) file3.write("let dist[{}, {}] := {};\n".format(i+1, j+1,k))
if j != x - 1: file2.write(", ") if j != x - 1: file2.write(", ")
file2.write('],\n') file2.write('],\n')
file2.write(']') file2.write(']')

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@ -1,4 +1,4 @@
param N := 6; param N := 20;
var m{1..N}; var m{1..N};
@ -18,7 +18,7 @@ C3{i in 2..N, j in 2..N: i <> j}: m[i]-m[j]+N*x[i,j]<=N-1;
C4{i in 2..N}: m[i]<=N-1; C4{i in 2..N}: m[i]<=N-1;
data tsp.dat; data data20.dat;
option solver cplex; option solver cplex;
solve; solve;
display Total; display Total;

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@ -2,19 +2,33 @@
from ortools.constraint_solver import routing_enums_pb2 from ortools.constraint_solver import routing_enums_pb2
from ortools.constraint_solver import pywrapcp from ortools.constraint_solver import pywrapcp
import timeit
def create_data_model(): def create_data_model():
"""Stores the data for the problem.""" """Stores the data for the problem."""
data = {} data = {}
data["distance_matrix"] = [ data["distance_matrix"] = [
[99, 2, 3, 1, 99, 99], [8, 8, 15, 7, 11, 17, 8, 3, 4, 11, 9, 6, 2, 7, 15, 6, 16, 5, 9, 14],
[99, 99, 99, 2, 2, 4], [16, 17, 13, 16, 15, 17, 12, 11, 7, 8, 13, 3, 7, 15, 9, 8, 16, 18, 7, 5],
[3, 99, 99, 2, 2, 99], [16, 4, 1, 9, 17, 11, 18, 2, 16, 13, 6, 5, 2, 7, 18, 16, 19, 14, 14, 9],
[1, 2, 99, 99, 99, 99], [9, 9, 7, 12, 16, 12, 3, 5, 16, 18, 10, 7, 6, 12, 4, 5, 14, 11, 5, 5],
[99, 99, 2, 2, 99, 1], [5, 2, 16, 18, 15, 15, 8, 10, 15, 18, 10, 7, 2, 1, 15, 17, 2, 15, 9, 6],
[99, 4, 3, 99, 1, 99], [9, 7, 11, 10, 12, 6, 10, 1, 5, 20, 19, 12, 13, 1, 19, 16, 17, 20, 16, 2],
] [15, 7, 3, 15, 20, 5, 10, 4, 20, 13, 5, 11, 20, 16, 13, 4, 7, 11, 13, 17],
[11, 16, 19, 15, 12, 12, 10, 9, 1, 15, 17, 17, 18, 17, 9, 12, 9, 4, 17, 3],
[2, 5, 16, 14, 5, 3, 16, 7, 3, 2, 1, 3, 20, 16, 14, 9, 10, 18, 20, 8],
[9, 4, 20, 2, 11, 19, 5, 3, 11, 2, 13, 20, 17, 5, 12, 17, 17, 9, 5, 4],
[5, 14, 7, 14, 3, 13, 1, 13, 17, 6, 18, 18, 16, 15, 18, 19, 15, 12, 9, 4],
[14, 2, 17, 8, 11, 16, 7, 12, 12, 6, 13, 12, 6, 18, 3, 7, 3, 1, 7, 17],
[8, 10, 8, 13, 15, 20, 2, 11, 9, 1, 4, 14, 1, 19, 15, 13, 18, 16, 10, 2],
[16, 2, 14, 3, 11, 17, 7, 6, 4, 2, 3, 8, 20, 8, 7, 12, 1, 4, 20, 10],
[5, 19, 10, 18, 6, 18, 2, 11, 6, 18, 11, 18, 13, 7, 18, 15, 3, 10, 20, 7],
[16, 19, 12, 19, 15, 12, 14, 8, 7, 11, 4, 13, 19, 12, 14, 13, 3, 7, 8, 20],
[4, 4, 15, 5, 16, 14, 18, 11, 18, 20, 19, 18, 18, 4, 3, 20, 5, 18, 18, 1],
[19, 6, 2, 15, 20, 3, 13, 7, 10, 17, 12, 11, 10, 19, 6, 2, 2, 19, 15, 1],
[16, 16, 3, 7, 6, 12, 6, 3, 2, 1, 11, 8, 13, 16, 14, 5, 20, 20, 10, 3],
[3, 14, 13, 20, 20, 2, 7, 14, 2, 6, 2, 19, 20, 20, 14, 7, 7, 5, 15, 18],
]
data["num_vehicles"] = 1 data["num_vehicles"] = 1
data["depot"] = 0 data["depot"] = 0
return data return data
@ -63,10 +77,17 @@ def main():
routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index) routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index)
# Setting first solution heuristic. # Setting first solution heuristic.
# Local Optimum
# search_parameters = pywrapcp.DefaultRoutingSearchParameters()
# search_parameters.first_solution_strategy = (
# routing_enums_pb2.FirstSolutionStrategy.PATH_CHEAPEST_ARC
# )
# Global Optimum
search_parameters = pywrapcp.DefaultRoutingSearchParameters() search_parameters = pywrapcp.DefaultRoutingSearchParameters()
search_parameters.first_solution_strategy = ( search_parameters.local_search_metaheuristic = (
routing_enums_pb2.FirstSolutionStrategy.PATH_CHEAPEST_ARC routing_enums_pb2.LocalSearchMetaheuristic.GUIDED_LOCAL_SEARCH)
) search_parameters.time_limit.seconds = 30
search_parameters.log_search = True
# Solve the problem. # Solve the problem.
solution = routing.SolveWithParameters(search_parameters) solution = routing.SolveWithParameters(search_parameters)
@ -77,4 +98,7 @@ def main():
if __name__ == "__main__": if __name__ == "__main__":
start = timeit.default_timer()
main() main()
stop = timeit.default_timer()
print('Time: ', stop - start)

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@ -1,12 +1,12 @@
"""Solves a simple assignment problem.""" """Solves a simple assignment problem."""
from ortools.sat.python import cp_model from ortools.sat.python import cp_model
import timeit
def main() -> None: def main() -> None:
# Data # Data
costs = [10,5,8,10,5,2,1] costs = [1, 19, 21, 8, 6, 24, 17, 23, 15, 22, 14, 2, 2, 10, 3, 17, 17, 19, 26, 9, 28, 16, 22, 19, 17, 15, 18, 15, 23, 27]
num_workers = 2 num_workers = 8
deadline = 20 deadline = 90
num_tasks = len(costs) num_tasks = len(costs)
# Model # Model
@ -47,4 +47,7 @@ def main() -> None:
print("No solution found.") print("No solution found.")
if __name__ == "__main__": if __name__ == "__main__":
start = timeit.default_timer()
main() main()
stop = timeit.default_timer()
print('Time: ', stop - start)

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@ -1,8 +1,8 @@
param: WIDTHS: orders:= param: WIDTHS: orders:=
6.77 10 6.77 25
7.56 40 7.56 25
17.46 33 17.46 25
18.76 10 ; 18.76 25 ;
param nPAT := 9 ; param nPAT := 9 ;

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@ -18,3 +18,4 @@ solve;
option omit_zero_rows 1; option omit_zero_rows 1;
option display_1col 0; option display_1col 0;
display Cut; display Cut;
display Number;

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@ -27,13 +27,32 @@ I didn't find a way to calculate runtime in swi-prolog. But it is clearly to see
### Google OR-Tools ### Google OR-Tools
| size | ans | time |
| ---- | --- | ---- |
1. Local Optimum
| size | ans | time |
| ---- | --- | ------ |
| 5 | 38 | 0.0077 |
| 10 | 48 | 0.0085 |
| 15 | 37 | 0.009 |
| 20 | 48 | 0.010 |
2. Global Optimum
| size | ans | time |
| ---- | --- | ------------------- |
| 5 | 38 | time limit exceeded |
| 10 | 48 | time limit exceeded |
| 15 | 29 | time limit exceeded |
| 20 | 46 | time limit exceeded |
### AMPL ### AMPL
| size | ans | time | | size | ans | time |
| ---- | --- | ---- | | ---- | --- | --------- |
| 5 | 38 | very fast |
| 10 | 48 | very fast |
| 15 | 29 | very fast |
| 20 | 46 | very fast |
## Part B ## Part B
@ -55,7 +74,17 @@ clingo task.lp
With either too high or too low constrain, the runtime grows exponentially. If the constrain is too low, it must iterate through all answers to find one correct result. If it is too high, then it may waste too much time fill the first processor. With either too high or too low constrain, the runtime grows exponentially. If the constrain is too low, it must iterate through all answers to find one correct result. If it is too high, then it may waste too much time fill the first processor.
### Google OR-Tools ### Google OR-Tools
| size | processors | deadline | result | time |
| ---- | ---------- | -------- | ------ | ------ |
| 10 | 3 | 20 | yes | 0.035 |
| 20 | 6 | 30 | no | 0.037 |
| 20 | 8 | 30 | yes | 0.0474 |
| 30 | 6 | 60 | no | 0.0413 |
| 30 | 8 | 60 | yes | 0.0469 |
| 30 | 8 | 80 | yes | 0.0481 |
| 30 | 8 | 90 | yes | 0.0552 |
Unlike clingo, Google OR-Tools is much faster on this question. And too high/low constrain does not increase the run time by a lot.
## Part C ## Part C
### clingo ### clingo
@ -74,5 +103,12 @@ clingo cut.lp
One important factor of the runtime is the max number of cut to check. If we set max = 10 with size = 30, we get the time of 0.914. However, it is impossible to get the max size before running, I believe this time would be a great representation of the runtime of clingo. One important factor of the runtime is the max number of cut to check. If we set max = 10 with size = 30, we get the time of 0.914. However, it is impossible to get the max size before running, I believe this time would be a great representation of the runtime of clingo.
### AMPL ### AMPL
| size | ans | time | | size | ans | time |
| ---- | --- | ---- | | ------ | ----- | --------- |
| 5 | 5 | very fast |
| 10 | 9 | very fast |
| 15 | 13 | very fast |
| 20 | 17 | very fast |
| 25 | 21 | very fast |
| 30 | 25 | very fast |
| 100000 | 80393 | very fast |