You are given a set S = {S1, S2,..., SK}, an integer X and a sequence A1, A2,..., AM. Let's define an infinite sequence W1, W2,...: for each valid i, W; = A(i-1)%M)+1. Then, let's define a function F(i) for any non-negative integer i in the following way: • F(0) = X • if i e S, F(i) = 0 • otherwise, for i + 0, F(i) = (E1 F(i – j) · W; ) %(10º + 7) Find the value of F(N). Sample Input: 3135 231 Sample Output: 231

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