Fibonacci numbers (2) P74219


Statement
 

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For every given pair of natural numbers n and m, compute Fn modm, where Fn is the n-th Fibonacci number (starting at 0).

Input

The input consists of several pairs of n and m. Assume 0 ≤ n ≤ 109 and 2 ≤ m ≤ 103.

Output

For every given pair, print Fn modm.

Hint

Consider the problem P61833: “Powers of a matrix”.

Public test cases

  • Input

    0 100
10 100
10 9
1000 876

    Output

    0
55
1
411
    • Information
    Author
    Salvador Roura
    Language
    English
    Official solutions
    C++
    User solutions
    C++