15 puzzle solver/Optimal solution: Difference between revisions

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(Created page with "Solution in 52 moves: 15 14 1 6 9 11 4 12 0 10 7 3 13 8 5 2 15 14 1 6 9 11 4 12 10 0 7 3 13 8 5 2 15 14 1 6 9 11 4 12 10 7 0 3 13 8...")
 
(shorter solution)
Line 1: Line 1:
Solution in 52 moves:
Solution in 31 moves: u2r2d3ru2ld2ru3ld3l2u3r2d2l2dru3rd3l2u2r3dl3dru2r2d2
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original: move 1:u2 move 2:r2 move 3:d3 move 4:r move 5:u2 move 6:l move 7:d2
15 14 1 6 14 1 6 14 1 6 14 1 4 6 14 1 4 6 14 1 4 6 14 1 4 6 14 1 4 6
9 11 4 12 15 11 4 12 15 11 4 12 15 11 7 12 15 11 7 12 15 11 7 15 11 7 15 11 5 7
10 7 3 9 10 7 3 9 10 7 3 9 10 5 3 9 10 5 3 9 10 5 12 9 10 5 12 9 10 2 12
13 8 5 2 13 8 5 2 13 8 5 2 13 8 2 13 8 2 13 8 2 3 13 8 2 3 13 8 3


move 8:r move 9:u3 move 10:l move 11:d3 move 12:l2 move 13:u3 move 14:r2 move 15:d2
15 14 1 6
14 1 4 6 14 1 4 14 1 4 14 1 5 4 14 1 5 4 1 5 4 1 5 4 1 5 2 4
9 11 4 12
15 11 5 7 15 11 5 6 15 11 5 6 15 11 2 6 15 11 2 6 14 11 2 6 14 11 2 6 14 11 3 6
0 10 7 3
9 10 2 12 9 10 2 7 9 10 2 7 9 10 3 7 9 10 3 7 15 10 3 7 15 10 3 7 15 10 7
13 8 5 2
13 8 3 13 8 3 12 13 8 3 12 13 8 12 13 8 12 9 13 8 12 9 13 8 12 9 13 8 12


move 16:l2 move 17:d move 18:r move 19:u3 move 20:r move 21:d3 move 22:l2 move 23:u2
15 14 1 6
1 5 2 4 1 5 2 4 1 5 2 4 1 2 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3 4
9 11 4 12
14 11 3 6 14 11 3 6 14 11 3 6 14 5 3 6 14 5 3 6 14 5 10 6 14 5 10 6 5 10 6
10 0 7 3
15 10 7 9 15 10 7 9 15 10 7 9 11 10 7 9 11 10 7 9 11 8 7 9 11 8 7 14 11 8 7
13 8 5 2
9 13 8 12 13 8 12 13 8 12 13 15 8 12 13 15 8 12 13 15 12 13 15 12 9 13 15 12


move 24:r3 move 25:d move 26:l3 move 27:d move 28:r move 29:u2 move 30:r2 move 31:d2
15 14 1 6
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
9 11 4 12
5 10 6 5 10 6 7 5 10 6 7 5 10 6 7 5 10 6 7 5 6 7 5 6 7 5 6 7 8
10 7 0 3
14 11 8 7 14 11 8 14 11 8 9 14 11 8 9 14 11 8 9 10 11 8 9 10 11 8 9 10 11 12
13 8 5 2
9 13 15 12 9 13 15 12 9 13 15 12 13 15 12 13 15 12 13 14 15 12 13 14 15 12 13 14 15

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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