Editorial for COCI '06 Contest 2 #3 Kolone


Remember to use this editorial only when stuck, and not to copy-paste code from it. Please be respectful to the problem author and editorialist.
Submitting an official solution before solving the problem yourself is a bannable offence.

One approach is to simulate the ants' behaviour second by second.

A more efficient approach directly calculates the final position of each ant.

Let's label the ants with numbers within their rows, starting with 0.

We know the initial (T = 0) position P of each ant: P = N_1-i-i_1 for the first (left) row and P = N_1+I for the other (right).

There are three cases:

  1. If T is less than i, then the ant will not jump over any other ants and will remain in its initial position.
  2. If T is greater than or equal to i+(the number of ants in the other row), then the ant will jump over all of the ants in the other row.
  3. Otherwise, the ant's position will change by T-i.

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