There's a line from (x1,y1) to (x2,y2) in a grid of squares of unit length. Write a program to compute the number of squares which are intersected by the line internally, i.e squares which are only touched by the line should not be counted.
| 1) |
Input (x1 y1 x2 y2):
1 1 6 6 Output (No. of squares): 5 |
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| 2) |
Input:
1 1 7 6 Output: 10 |
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| 3) |
Input:
1 1 7 5 Output: 8 |
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| 4) |
Input:
5 6 500 6 Output: 0 |
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| 5) |
Input:
1 200 180 2 Output: 376 |
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| 6) |
Input:
1 10000 9999 173 Output: 19824 |
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