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.

Sample Input

20 10
50 30
0 0

Sample Output

[1,4]
[10,10] [4,8]
[6,9]
[9,11]
[30,30] // 遍历所有子列
 #include<stdio.h>
int main()
{
int n, m, i,j, t, flag;
while(scanf("%d %d", &n, &m), !(n==&&m==))
{
for(i=;i<=n;i++)
{
flag=; t=;
for(j=i;j<=n;j++)
{
t+=j;
if(t==m)
{ flag=; break; }
if(t>m) break;
}
if(flag) printf("[%d,%d]\n", i, j);
}
printf("\n");
}
return ;
}

Time Limit Exceeded

// 老老实实算吧
 #include<stdio.h>
#include<math.h>
int main()
{
int n, m, i,j;
while(scanf("%d %d", &n, &m), !(n==&&m==))
{
for(i=(int)sqrt(2.0*m);i>;i--) // a1*n+n*(n-1)/2=(2*a1+(n-1))*n/2=m,
{ // 又a1>=1, 则n<sqrt(2*m).
j=(*m/i-i+)/; // a1=(2*m/n-n+1)/2
if((*j+i-)*i/==m)
printf("[%d,%d]\n", j, i+j-);
}
printf("\n");
}
return ;
}

AC

 

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