Problem Statement |
| In Japanese Chess, there is a piece called Silver. A Silver piece located in cell (x,y) can move to any of the following cells in one step: (x-1,y+1), (x,y+1), (x+1,y+1), (x-1,y-1), (x+1,y-1). In other words, it can move one cell in any of the four diagonal directions, or it can move one cell vertically in the positive y direction.
Initially, there's a Silver piece in cell (sx,sy) of an infinitely large board. Return the minimal number of steps required to move to cell (gx,gy). |
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Definition |
| Class: | SilverDistance | Method: | minSteps | Parameters: | int, int, int, int | Returns: | int | Method signature: | int minSteps(int sx, int sy, int gx, int gy) | (be sure your method is public) |
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Constraints |
- | sx, sy, gx and gy will each be between -1,000,000 and 1,000,000 inclusive. |
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Examples |
0) | |
| | Returns: 9 | Move up vertically in the positive y direction 9 times. |
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1) | |
| | Returns: 5 | Follow the path : (0,0) -> (-1,1) -> (-1,2) -> (-2,3) -> (-3,2) -> (-4,3) |
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2) | |
| | Returns: 8 | Move up vertically in the postive y direction 3 times, then move diagonally up and to the right 5 times. |
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3) | |
| -487617 | 826524 | 892309 | -918045 |
| Returns: 1744571 | |
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4) | |
| | Returns: 0 | The Silver is already in the goal. |
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