#include using namespace std; #define rep(i, n) for (int i = 0; i < (n); ++i) using ll = long long; using P = pair; int const INF = 1e9 + 7; int main() { int n, s, k; cin >> n >> s >> k; int m = s - (n - 1) * n * k / 2; if (m < 0) { cout << 0 << endl; return 0; } // DPテーブル // dp[i][j]...jのi分割の総数 vector> dp(n + 1, vector(m + 1)); dp[0][0] = 1; for (int i = 1; i <= n; ++i) { for (int j = 0; j <= m; ++j) { if (j - i >= 0) { dp[i][j] = (dp[i - 1][j] + dp[i][j - i]) % INF; } else { dp[i][j] = dp[i - 1][j]; } } } cout << dp[n][m] << endl; return 0; }