Contests > APGC-1 > problem:

1. 51069 - Last Digit of a Fibonacci Number

APGC-1

Start: Feb.04.2017 at 06:00:00 PM
Finish: Feb.05.2017 at 02:00:00 PM
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• 1. 51069 - Last Digit of a Fibon...
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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Prepared by Arbli Troshani.

Last Digit of a Fibonacci Number

Your goal in this problem is to find the last digit of n-th Fibonacci number. Recall that Fibonacci numbers grow exponentially fast. For example,
F₂₀₀ = 280 571 172 992 510 140 037 611 932 413 038 677 189 525

Question:
Given an integer n, find the last digit of the nth Fibonacci number F_nвЂє (that is, F_n mod 10).

Input specification
You will be given a number (n) first where n is between 0 and 10⁷.

Output specification
Show the last digit with the given criteria.

Sample Input I

Sample Output I

Explanation:
F₃₃₁ = 66899.......186469
Note:
A standart algorithm may not work. Slight modification needed!

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