思维题(直角三角形)

Katya studies in a fifth grade. Recently her class studied right triangles and the Pythagorean theorem. It appeared, that there are triples of positive integers such that you can construct a right triangle with segments of lengths corresponding to triple. Such triples are called Pythagorean triples.

For example, triples (3, 4, 5), (5, 12, 13) and (6, 8, 10) are Pythagorean triples.

Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse.

Katya had no problems with completing this task. Will you do the same?

Input

3

Output

4 5

Input

6

Output

8 10

Input

1

Output

-1

Input

17

Output

144 145

Input

67

Output

2244 2245


给你一条边 ，问能不能有另外两条边使得这三条边构成直角三角形
推个数学公式就解出来了

#include <iostream>
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<algorithm>
typedef long long int ll;
using namespace std;
int main()
{
    ll n,i,b,c;
    scanf("%lld",&n);
    if(n%2!=0)
    {
        b=(n*n-1)/2;
        c=b+1;
        if(b==0||c==0)
            printf("-1\n");
        else
            printf("%lld %lld\n",b,c);
    }
    else
    {
        b=(n*n/2-2)/2;
        c=b+2;
        if(b==0||c==0)
            printf("-1\n");
        else
            printf("%lld %lld\n",b,c);
    }


    return 0;
}