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hdu 2058 The sum problem(简单因式分解,,)

Problem Description
Given a sequence 1,2,3,......N, your job is to calculate all the possible sub-sequences that the sum of the sub-sequence is M.
 

 

Input
Input contains multiple test cases. each case contains two integers N, M( 1 <= N, M <= 1000000000).input ends with N = M = 0.
 

 

Output
For each test case, print all the possible sub-sequence that its sum is M.The format is show in the sample below.print a blank line after each test case.

 

思路:

假设答案为[i,j],则有:j2+j-i2-i=2M   -->   (j+i+1)(j-i)=2M

对2M进行分解,,然后判断,,搞一搞,,

 

代码:

int n,m;int main(){    while(cin>>n>>m,n||m){        m*=2;        int t=(int)sqrt(m+0.5);        rep2(i,t,1){            if(m%i==0){                int a,b;                a=m/i, b=i;                int x,y;                x=(a-b-1)/2;                y=(a+b-1)/2;                if(x<0 || y>n || (2*x+1)!=(a-b) || (2*y+1)!=(a+b)) continue;                printf("[%d,%d]\n",x+1,y);            }        }        cout<<endl;    }}

 

hdu 2058 The sum problem(简单因式分解,,)