Wednesday, 12 August 2015

MANGOES

Standard

Real Mangoes for Ranjith

Link to the question : MANGOES 

HINT :

The question might look lengthy and you may think implementing the algorithm will  be a tough task, but a little careful observation may make this question look very simple. As per the question mangoes are real if GCD of each pair of the  set  {mi, mi+1, mi+2} equals 1. Now this is only possible when mi and (mi + 2) are odd else if they are even, they will have at least 2 as their GCD. Hence all you need to is find the sum of the odd terms.

SOURCE CODE :

 #include<stdio.h>
int main()
{
    int t;
    long long int n,x,s;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%lld",&n);
        x=n;
        if(n%2==0)
            n=(n-2)/2;
        else
            n=(n-1)/2;

        s=(n*n)%x;
        printf("%lld\n",s);

    }
    return 0;
}
 

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