#include using namespace std; typedef long long ll; const int MAX_N = 100100; const int MAX_K = 150; const int MOD = 1e9+7; int PartNum[MAX_N][MAX_K]; // dp[i][j]で、jのi分割数 void calcPartNum() { PartNum[0][0] = 1; for (int n = 0; n < MAX_N; ++n) { for (int k = 1; k < MAX_K; ++k) { PartNum[n][k] = PartNum[n][k - 1]; if (n >= k) { PartNum[n][k] += PartNum[n - k][k]; if (PartNum[n][k] >= MOD) PartNum[n][k] -= MOD; } } } } int main(){ int N,S,K; cin >> N >> S >> K; for(int i = 0; i < MAX_N; i++){ for(int j = 0; j < MAX_K; j++){ PartNum[i][j] = 0; } } calcPartNum(); int res = S; res -= (N*(N-1)*K)/2; if( res < 0){ cout << 0 << endl; return 0;} cout << PartNum[res][N] << endl; return 0;}