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The Fibonacci sequence is defined by the following recursive formula:

F(0) = 0

F(1) = 1

F(N) = F(N−1) + F(N−2) for N ≥ 2

Write a function:

class Solution { public int solution(int N, int M); }

that, given two non-negative integers N and M, returns a remainder of F(N^{M}) modulo 10,000,103.

Note: 10,000,103 is a prime number.

For example, given N = 2 and M = 3, the function should return 21, since 2^{3} = 8 and F(8) = 21.

Write an ** efficient** algorithm for the following assumptions:

- N and M are integers within the range [0..10,000,000].

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