HDU-4143 A Simple Problem

2191 ワード

A Simple Problem
Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 1959    Accepted Submission(s): 518
Problem Description
For a given positive integer n, please find the smallest positive integer x that we can find an integer y such that y^2 = n +x^2.
 
 
Input
The first line is an integer T, which is the the number of cases.
Then T line followed each containing an integer n (1<=n <= 10^9).
 
 
Output
For each integer n, please print output the x in a single line, if x does not exit , print -1 instead.
 
 
Sample Input
2 2 3
 
 
Sample Output
-1 1
 
/*
    :
  n,    x     y^2 = n +x^2 ,      (y-x)*(y+x)=n,  y-x  ,  y-x    y+x;
*/
//   :
#include<stdio.h>
int main()
{
	int T,i,a,n,tmp,ans;
	scanf("%d",&T);
	while(T--)
	{
		ans=0x7fffffff;
		scanf("%d",&n);
		for(i=1;i*i<n;++i)
		{
			if(n%i==0)
			{
				a=n/i;
				if(((a+i)&1)==0&&((a-i)&1)==0)
				{
					tmp=(a-i)>>1;
					if(tmp<ans)
						ans=tmp;
				}
			}
		}
		if(ans!=0x7fffffff)
			printf("%d
",ans); else printf("-1
"); } return 0; } /* :--- : x , y-x y+x , sqrt(n) #include <stdio.h> #include <math.h> int main() { int T,i,flag,n; scanf("%d",&T); while(T--) { flag=0; scanf("%d",&n); for(i=sqrt(n);i>=1;--i) { if(n%i==0&&(n/i-i)%2==0&&n/i!=i) { flag=1; break; } } if(flag) printf("%d
",(n/i-i)/2); else printf("-1
"); } return 0; }*/