You have to perform various number of operations. In one operation, you can choose one index i (1 ≤ i ≤ N) and increment Ai by 1. Each index can be chosen any number of times. Using python programming you have to find the minimum number of operations required to modify the array A such that for every pair i, j (1 ≤ i, j ≤ N), (Ai % Bi) equals (Aj % Bj). Here, % denotes the modulo operator (the remainder after dividing by Bi). Note that 0 ≤ (Ai % Bi) < Bi. Input: 1 3 4 2 2 5 3 4 Output: 3

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You have to perform various number of operations. In one operation, you can choose one index i (1 ≤ i ≤ N) and increment Ai by 1. Each index can be chosen any number of times.

Using python programming you have to find the minimum number of operations required to modify the array A such that for every pair i, j (1 ≤ i, j ≤ N)(Ai % Bi) equals (Aj % Bj). Here, % denotes the modulo operator (the remainder after dividing by Bi). Note that 0 ≤ (Ai % Bi) < Bi.

Input:

1

3

4 2 2

5 3 4

Output:

3

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