Editorial for COCI '08 Contest 1 #1 Skocimis


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Suppose kangaroo A is farther from B than B is from C. Then the three kangaroos will play longest if C jumps first, onto position A+1 or B-1. They can repeat this until they are standing next to each other.

The total number of jumps will be B-A-1 or C-B-1, depending on which pair of kangaroos was initially farther. The solution is the value of the expression \max\{B-A, C-B\} - 1.


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