#include #define rep(i, n) for (int i = 0; i < (n); i++) #define irep(i, n) for (int i = (n); i >= 0; i--) using namespace std; using ll = long long; using P = pair; const int INF = 1 << 25; const int MOD = 1e9+7; int dp[101][20001]; int main() { int n,s,k; cin >> n >> s >> k; int rem = s - k*n*(n-1)/2; if (rem < 0) { cout << 0 << endl; return 0; } dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= rem; j++) { if (j>=i) { dp[i][j] = (dp[i][j-i]+dp[i-1][j]) % MOD; } else { dp[i][j] = dp[i-1][j]; } } } cout << dp[n][rem] << endl; return 0; }