Solving Dad's Puzzle: Overview


Dad's Puzzle is a traditional 4×5 sliding puzzle where the objective is to slide the largest piece to the lower left corner of the puzzle board. It dates back to the early 20th century. The shortest solution consists of 83 moves from the starting position (a move of length 2 is considered two moves, not one). The puzzle was recently mentioned on Slashdot and The Economist.

Try an interactive version (apparently requires IE).

The python program below solves the puzzle by iterating all possible positions from the starting position in a breadth-first search. It stops when the 2x2 block has reached the target position. Since each iteration inspects all possible positions up to that point, the first solution found is guaranteed to be the shortest one.

The program's output consists of a series of diagrams that show the solution as a sequence of moves.

Program Output


Number of end-points: 3 (depth: 1), positions seen: 3
Number of end-points: 6 (depth: 2), positions seen: 9
Number of end-points: 4 (depth: 3), positions seen: 13
Number of end-points: 3 (depth: 4), positions seen: 16
Number of end-points: 3 (depth: 5), positions seen: 19
Number of end-points: 3 (depth: 6), positions seen: 22
Number of end-points: 2 (depth: 7), positions seen: 24
Number of end-points: 2 (depth: 8), positions seen: 26
Number of end-points: 3 (depth: 9), positions seen: 29
Number of end-points: 7 (depth: 10), positions seen: 36
Number of end-points: 10 (depth: 11), positions seen: 46
Number of end-points: 10 (depth: 12), positions seen: 56
Number of end-points: 9 (depth: 13), positions seen: 65
Number of end-points: 6 (depth: 14), positions seen: 71
Number of end-points: 7 (depth: 15), positions seen: 78
Number of end-points: 7 (depth: 16), positions seen: 85
Number of end-points: 7 (depth: 17), positions seen: 92
Number of end-points: 7 (depth: 18), positions seen: 99
Number of end-points: 7 (depth: 19), positions seen: 106
Number of end-points: 7 (depth: 20), positions seen: 113
Number of end-points: 5 (depth: 21), positions seen: 118
Number of end-points: 4 (depth: 22), positions seen: 122
Number of end-points: 2 (depth: 23), positions seen: 124
Number of end-points: 4 (depth: 24), positions seen: 128
Number of end-points: 6 (depth: 25), positions seen: 134
Number of end-points: 8 (depth: 26), positions seen: 142
Number of end-points: 10 (depth: 27), positions seen: 152
Number of end-points: 12 (depth: 28), positions seen: 164
Number of end-points: 10 (depth: 29), positions seen: 174
Number of end-points: 12 (depth: 30), positions seen: 186
Number of end-points: 16 (depth: 31), positions seen: 202
Number of end-points: 16 (depth: 32), positions seen: 218
Number of end-points: 14 (depth: 33), positions seen: 232
Number of end-points: 14 (depth: 34), positions seen: 246
Number of end-points: 20 (depth: 35), positions seen: 266
Number of end-points: 26 (depth: 36), positions seen: 292
Number of end-points: 34 (depth: 37), positions seen: 326
Number of end-points: 36 (depth: 38), positions seen: 362
Number of end-points: 28 (depth: 39), positions seen: 390
Number of end-points: 30 (depth: 40), positions seen: 420
Number of end-points: 36 (depth: 41), positions seen: 456
Number of end-points: 38 (depth: 42), positions seen: 494
Number of end-points: 50 (depth: 43), positions seen: 544
Number of end-points: 44 (depth: 44), positions seen: 588
Number of end-points: 34 (depth: 45), positions seen: 622
Number of end-points: 42 (depth: 46), positions seen: 664
Number of end-points: 50 (depth: 47), positions seen: 714
Number of end-points: 50 (depth: 48), positions seen: 764
Number of end-points: 50 (depth: 49), positions seen: 814
Number of end-points: 56 (depth: 50), positions seen: 870
Number of end-points: 50 (depth: 51), positions seen: 920
Number of end-points: 44 (depth: 52), positions seen: 964
Number of end-points: 42 (depth: 53), positions seen: 1006
Number of end-points: 46 (depth: 54), positions seen: 1052
Number of end-points: 58 (depth: 55), positions seen: 1110
Number of end-points: 66 (depth: 56), positions seen: 1176
Number of end-points: 60 (depth: 57), positions seen: 1236
Number of end-points: 58 (depth: 58), positions seen: 1294
Number of end-points: 64 (depth: 59), positions seen: 1358
Number of end-points: 78 (depth: 60), positions seen: 1436
Number of end-points: 90 (depth: 61), positions seen: 1526
Number of end-points: 106 (depth: 62), positions seen: 1632
Number of end-points: 92 (depth: 63), positions seen: 1724
Number of end-points: 82 (depth: 64), positions seen: 1806
Number of end-points: 76 (depth: 65), positions seen: 1882
Number of end-points: 82 (depth: 66), positions seen: 1964
Number of end-points: 96 (depth: 67), positions seen: 2060
Number of end-points: 118 (depth: 68), positions seen: 2178
Number of end-points: 142 (depth: 69), positions seen: 2320
Number of end-points: 146 (depth: 70), positions seen: 2466
Number of end-points: 128 (depth: 71), positions seen: 2594
Number of end-points: 138 (depth: 72), positions seen: 2732
Number of end-points: 172 (depth: 73), positions seen: 2904
Number of end-points: 186 (depth: 74), positions seen: 3090
Number of end-points: 158 (depth: 75), positions seen: 3248
Number of end-points: 134 (depth: 76), positions seen: 3382
Number of end-points: 120 (depth: 77), positions seen: 3502
Number of end-points: 144 (depth: 78), positions seen: 3646
Number of end-points: 160 (depth: 79), positions seen: 3806
Number of end-points: 162 (depth: 80), positions seen: 3968
Number of end-points: 172 (depth: 81), positions seen: 4140
Number of end-points: 174 (depth: 82), positions seen: 4314
Number of end-points: 172 (depth: 83), positions seen: 4486

Solution found in 83 moves

--------------------
| A |  A |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
| D |  E |    |    | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

1: E Right

--------------------
| A |  A |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
| D |    |  E |    | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

2: D Right

--------------------
| A |  A |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
|   |  D |  E |    | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

3: E Right

--------------------
| A |  A |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
|   |  D |    |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

4: D Right

--------------------
| A |  A |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
|   |    |  D |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

5: A Down

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|   |    |  B |  B | 
--------------------
| A |  A |  C |  C | 
--------------------
| A |  A |  D |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

6: B Left

--------------------
|   |  B |  B |    | 
--------------------
| A |  A |  C |  C | 
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| A |  A |  D |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

7: B Left

--------------------
| B |  B |    |    | 
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| A |  A |  C |  C | 
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| A |  A |  D |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

8: C Up

--------------------
| B |  B |  C |  C | 
--------------------
| A |  A |    |    | 
--------------------
| A |  A |  D |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

9: D Up

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| B |  B |  C |  C | 
--------------------
| A |  A |  D |    | 
--------------------
| A |  A |    |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

10: D Right

--------------------
| B |  B |  C |  C | 
--------------------
| A |  A |    |  D | 
--------------------
| A |  A |    |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

11: A Right

--------------------
| B |  B |  C |  C | 
--------------------
|   |  A |  A |  D | 
--------------------
|   |  A |  A |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
| F |  G |  I |  I | 
--------------------

12: F Up

--------------------
| B |  B |  C |  C | 
--------------------
|   |  A |  A |  D | 
--------------------
| F |  A |  A |  E | 
--------------------
| F |  G |  H |  H | 
--------------------
|   |  G |  I |  I | 
--------------------

13: F Up

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| B |  B |  C |  C | 
--------------------
| F |  A |  A |  D | 
--------------------
| F |  A |  A |  E | 
--------------------
|   |  G |  H |  H | 
--------------------
|   |  G |  I |  I | 
--------------------

14: G Left

--------------------
| B |  B |  C |  C | 
--------------------
| F |  A |  A |  D | 
--------------------
| F |  A |  A |  E | 
--------------------
| G |    |  H |  H | 
--------------------
| G |    |  I |  I | 
--------------------

15: H Left

--------------------
| B |  B |  C |  C | 
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| F |  A |  A |  D | 
--------------------
| F |  A |  A |  E | 
--------------------
| G |  H |  H |    | 
--------------------
| G |    |  I |  I | 
--------------------

16: E Down

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| B |  B |  C |  C | 
--------------------
| F |  A |  A |  D | 
--------------------
| F |  A |  A |    | 
--------------------
| G |  H |  H |  E | 
--------------------
| G |    |  I |  I | 
--------------------

17: D Down

--------------------
| B |  B |  C |  C | 
--------------------
| F |  A |  A |    | 
--------------------
| F |  A |  A |  D | 
--------------------
| G |  H |  H |  E | 
--------------------
| G |    |  I |  I | 
--------------------

18: I Left

--------------------
| B |  B |  C |  C | 
--------------------
| F |  A |  A |    | 
--------------------
| F |  A |  A |  D | 
--------------------
| G |  H |  H |  E | 
--------------------
| G |  I |  I |    | 
--------------------

19: E Down

--------------------
| B |  B |  C |  C | 
--------------------
| F |  A |  A |    | 
--------------------
| F |  A |  A |  D | 
--------------------
| G |  H |  H |    | 
--------------------
| G |  I |  I |  E | 
--------------------

20: D Down

--------------------
| B |  B |  C |  C | 
--------------------
| F |  A |  A |    | 
--------------------
| F |  A |  A |    | 
--------------------
| G |  H |  H |  D | 
--------------------
| G |  I |  I |  E | 
--------------------

21: A Right

--------------------
| B |  B |  C |  C | 
--------------------
| F |    |  A |  A | 
--------------------
| F |    |  A |  A | 
--------------------
| G |  H |  H |  D | 
--------------------
| G |  I |  I |  E | 
--------------------

22: F Right

--------------------
| B |  B |  C |  C | 
--------------------
|   |  F |  A |  A | 
--------------------
|   |  F |  A |  A | 
--------------------
| G |  H |  H |  D | 
--------------------
| G |  I |  I |  E | 
--------------------

23: G Up

--------------------
| B |  B |  C |  C | 
--------------------
|   |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  H |  H |  D | 
--------------------
|   |  I |  I |  E | 
--------------------

24: G Up

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
|   |  H |  H |  D | 
--------------------
|   |  I |  I |  E | 
--------------------

25: H Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| H |  H |    |  D | 
--------------------
|   |  I |  I |  E | 
--------------------

26: D Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| H |  H |  D |    | 
--------------------
|   |  I |  I |  E | 
--------------------

27: E Up

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| H |  H |  D |  E | 
--------------------
|   |  I |  I |    | 
--------------------

28: I Right

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| H |  H |  D |  E | 
--------------------
|   |    |  I |  I | 
--------------------

29: H Down

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
|   |    |  D |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

30: D Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
|   |  D |    |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

31: D Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |    |    |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

32: E Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |    |  E |    | 
--------------------
| H |  H |  I |  I | 
--------------------

33: E Left

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |  E |    |    | 
--------------------
| H |  H |  I |  I | 
--------------------

34: A Down

--------------------
| B |  B |  C |  C | 
--------------------
| G |  F |    |    | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |  E |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

35: C Down

--------------------
| B |  B |    |    | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |  E |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

36: B Right

--------------------
|   |  B |  B |    | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |  E |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

37: B Right

--------------------
|   |    |  B |  B | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  A |  A | 
--------------------
| D |  E |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

38: F Up

--------------------
|   |  F |  B |  B | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |    |  A |  A | 
--------------------
| D |  E |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

39: E Up

--------------------
|   |  F |  B |  B | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |  E |  A |  A | 
--------------------
| D |    |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

40: D Right

--------------------
|   |  F |  B |  B | 
--------------------
| G |  F |  C |  C | 
--------------------
| G |  E |  A |  A | 
--------------------
|   |  D |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

41: G Down

--------------------
|   |  F |  B |  B | 
--------------------
|   |  F |  C |  C | 
--------------------
| G |  E |  A |  A | 
--------------------
| G |  D |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

42: F Left

--------------------
| F |    |  B |  B | 
--------------------
| F |    |  C |  C | 
--------------------
| G |  E |  A |  A | 
--------------------
| G |  D |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

43: E Up

--------------------
| F |    |  B |  B | 
--------------------
| F |  E |  C |  C | 
--------------------
| G |    |  A |  A | 
--------------------
| G |  D |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

44: D Up

--------------------
| F |    |  B |  B | 
--------------------
| F |  E |  C |  C | 
--------------------
| G |  D |  A |  A | 
--------------------
| G |    |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

45: E Up

--------------------
| F |  E |  B |  B | 
--------------------
| F |    |  C |  C | 
--------------------
| G |  D |  A |  A | 
--------------------
| G |    |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

46: D Up

--------------------
| F |  E |  B |  B | 
--------------------
| F |  D |  C |  C | 
--------------------
| G |    |  A |  A | 
--------------------
| G |    |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

47: G Right

--------------------
| F |  E |  B |  B | 
--------------------
| F |  D |  C |  C | 
--------------------
|   |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

48: F Down

--------------------
|   |  E |  B |  B | 
--------------------
| F |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

49: E Left

--------------------
| E |    |  B |  B | 
--------------------
| F |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

50: B Left

--------------------
| E |  B |  B |    | 
--------------------
| F |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

51: F Down

--------------------
| E |  B |  B |    | 
--------------------
|   |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

52: E Down

--------------------
|   |  B |  B |    | 
--------------------
| E |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

53: B Left

--------------------
| B |  B |    |    | 
--------------------
| E |  D |  C |  C | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

54: C Up

--------------------
| B |  B |  C |  C | 
--------------------
| E |  D |    |    | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

55: D Right

--------------------
| B |  B |  C |  C | 
--------------------
| E |    |  D |    | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

56: D Right

--------------------
| B |  B |  C |  C | 
--------------------
| E |    |    |  D | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

57: E Right

--------------------
| B |  B |  C |  C | 
--------------------
|   |  E |    |  D | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

58: E Right

--------------------
| B |  B |  C |  C | 
--------------------
|   |    |  E |  D | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

59: B Down

--------------------
|   |    |  C |  C | 
--------------------
| B |  B |  E |  D | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

60: C Left

--------------------
|   |  C |  C |    | 
--------------------
| B |  B |  E |  D | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

61: D Up

--------------------
|   |  C |  C |  D | 
--------------------
| B |  B |  E |    | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

62: E Right

--------------------
|   |  C |  C |  D | 
--------------------
| B |  B |    |  E | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

63: B Right

--------------------
|   |  C |  C |  D | 
--------------------
|   |  B |  B |  E | 
--------------------
| F |  G |  A |  A | 
--------------------
| F |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

64: F Up

--------------------
|   |  C |  C |  D | 
--------------------
| F |  B |  B |  E | 
--------------------
| F |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

65: F Up

--------------------
| F |  C |  C |  D | 
--------------------
| F |  B |  B |  E | 
--------------------
|   |  G |  A |  A | 
--------------------
|   |  G |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

66: G Left

--------------------
| F |  C |  C |  D | 
--------------------
| F |  B |  B |  E | 
--------------------
| G |    |  A |  A | 
--------------------
| G |    |  A |  A | 
--------------------
| H |  H |  I |  I | 
--------------------

67: A Left

--------------------
| F |  C |  C |  D | 
--------------------
| F |  B |  B |  E | 
--------------------
| G |  A |  A |    | 
--------------------
| G |  A |  A |    | 
--------------------
| H |  H |  I |  I | 
--------------------

68: E Down

--------------------
| F |  C |  C |  D | 
--------------------
| F |  B |  B |    | 
--------------------
| G |  A |  A |  E | 
--------------------
| G |  A |  A |    | 
--------------------
| H |  H |  I |  I | 
--------------------

69: D Down

--------------------
| F |  C |  C |    | 
--------------------
| F |  B |  B |  D | 
--------------------
| G |  A |  A |  E | 
--------------------
| G |  A |  A |    | 
--------------------
| H |  H |  I |  I | 
--------------------

70: C Right

--------------------
| F |    |  C |  C | 
--------------------
| F |  B |  B |  D | 
--------------------
| G |  A |  A |  E | 
--------------------
| G |  A |  A |    | 
--------------------
| H |  H |  I |  I | 
--------------------

71: E Down

--------------------
| F |    |  C |  C | 
--------------------
| F |  B |  B |  D | 
--------------------
| G |  A |  A |    | 
--------------------
| G |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

72: D Down

--------------------
| F |    |  C |  C | 
--------------------
| F |  B |  B |    | 
--------------------
| G |  A |  A |  D | 
--------------------
| G |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

73: B Right

--------------------
| F |    |  C |  C | 
--------------------
| F |    |  B |  B | 
--------------------
| G |  A |  A |  D | 
--------------------
| G |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

74: F Right

--------------------
|   |  F |  C |  C | 
--------------------
|   |  F |  B |  B | 
--------------------
| G |  A |  A |  D | 
--------------------
| G |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

75: G Up

--------------------
|   |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| G |  A |  A |  D | 
--------------------
|   |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

76: G Up

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
|   |  A |  A |  D | 
--------------------
|   |  A |  A |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

77: A Left

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |    |  D | 
--------------------
| A |  A |    |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

78: D Left

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |  D |    | 
--------------------
| A |  A |    |  E | 
--------------------
| H |  H |  I |  I | 
--------------------

79: E Up

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |  D |  E | 
--------------------
| A |  A |    |    | 
--------------------
| H |  H |  I |  I | 
--------------------

80: I Up

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |  D |  E | 
--------------------
| A |  A |  I |  I | 
--------------------
| H |  H |    |    | 
--------------------

81: H Right

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |  D |  E | 
--------------------
| A |  A |  I |  I | 
--------------------
|   |  H |  H |    | 
--------------------

82: H Right

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
| A |  A |  D |  E | 
--------------------
| A |  A |  I |  I | 
--------------------
|   |    |  H |  H | 
--------------------

83: A Down

--------------------
| G |  F |  C |  C | 
--------------------
| G |  F |  B |  B | 
--------------------
|   |    |  D |  E | 
--------------------
| A |  A |  I |  I | 
--------------------
| A |  A |  H |  H | 
--------------------
	

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