#include #include #define repeat(i,n) for (int i = 0; (i) < (n); ++(i)) #define repeat_reverse(i,n) for (int i = (n)-1; (i) >= 0; --(i)) using namespace std; const int mod = 1e9 + 7; int main() { int n, s, k; cin >> n >> s >> k; s -= k * (n - 1) * n / 2; if (s < 0) { cout << 0 << endl; } else { vector dp(s + 1); dp[0] = 1; repeat(i, n) { repeat_reverse(j, s + 1) { for (int a = 1; j + a * (n - i) < s + 1; ++a) { dp[j + a * (n - i)] += dp[j]; dp[j + a * (n - i)] %= mod; } } } cout << dp[s] << endl; } return 0; }