Board to Reverse-Board
Here is a not-so-interesting Puzzle
Imagine a chess board with 64 squares.
Define a Board :
Define a Reverse-Board
A 'Move' is defined as a horizontal or vertical swap between adjacent cells on the board.
The puzzle is -- How many minimum 'Moves' are required to transform Board to Reverse-Board.
Much Love.
Rohit
Imagine a chess board with 64 squares.
Define a Board :
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 |
33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 |
49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 |
57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 |
Define a Reverse-Board
64 | 63 | 62 | 61 | 60 | 59 | 58 | 57 |
56 | 55 | 54 | 53 | 52 | 51 | 50 | 49 |
48 | 47 | 46 | 45 | 44 | 43 | 42 | 41 |
40 | 39 | 38 | 37 | 36 | 35 | 34 | 33 |
32 | 31 | 30 | 29 | 28 | 27 | 26 | 25 |
24 | 23 | 22 | 21 | 20 | 19 | 18 | 17 |
16 | 15 | 14 | 13 | 12 | 11 | 10 | 9 |
8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 |
A 'Move' is defined as a horizontal or vertical swap between adjacent cells on the board.
The puzzle is -- How many minimum 'Moves' are required to transform Board to Reverse-Board.
Much Love.
Rohit
1 Comments:
the answer to the above puzzle is :
for nxn matrix the number of moves are: 2n(n^2-1)/3.
-Termi
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