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UPCOMING CHALLENGES:

CURRENT CHALLENGES:

Rhodium 2019

PAST CHALLENGES

Ruthenium 2019

Technetium 2019

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Cutting Complexity

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Vanadium 2016

Titanium 2016

Scandium 2016

Calcium 2015

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Argon 2015

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Beryllium 2013

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Omega 2013

Psi 2012

Chi 2012

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Tau 2012

Sigma 2012

Rho 2012

Pi 2012

Omicron 2012

Xi 2012

Nu 2011

Mu 2011

Lambda 2011

Kappa 2011

Iota 2011

Theta 2011

Eta 2011

Zeta 2011

Epsilon 2011

Delta 2011

Gamma 2011

Beta 2010

Alpha 2010

Programming language:

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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