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There is an array A made of N integers. Your task is to choose as many integers from A as possible so that, when they

  1. There is an array A made of N integers. Your task is to choose as many integers from A as possible so that, when they are put in ascending order, all of the differences between all pairs of consecutive integers are equal. For example, for A = [4, 3, 5, 1, 4, 4], you could choose 1, 3, and 5 (with differences equal to 2) or 4, 4, and 4 (with differences equal to 0). 

  2. What is the maximum number of integers that can be chosen? Write a function.

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