#include <stdio.h>
#include <string.h>
#define mod 100000007
typedef __int64 LL;
int n, s, a, b, ret, a1, a_1;
void DFS(LL tmp, LL sum, int k) {
if (k == n) {
if (sum == s && ++ret == mod)
ret -= mod;
return;
}
// time to cut
LL a0 = tmp + a; // 如果剩下所有项都+a结果还比s小
int n1 = n - k;
LL sum0 = n1 * a0 + n1 * (n1 - 1) * a / 2 + sum;
if (sum0 < s) return;
a0 = tmp - b; // ...还比s大
sum0 = n1 * a0 - n1 * (n1 - 1) * b / 2 + sum;
if (sum0 > s) return;
DFS(tmp + a, sum + tmp + a, k + 1);
DFS(tmp - b, sum + tmp - b, k + 1);
}
int main() {
int i;
scanf("%d%d%d%d", &n, &s, &a, &b);
a1 = (s - n * (n - 1) * a / 2) / n;
a_1 = (s - n * (n - 1) * (-b) / 2) / n;
for (i = a1; i <= a_1; ++i)
DFS(i, i, 1);
printf("%d\n", ret);
return 0;
}
原文:http://blog.csdn.net/chang_mu/article/details/42581777