#include using namespace std; #define rep(i,n) for(int i=0; i<(n);i++) using ll = long long; const ll INF = 1e9; const ll mod=1000000007; int main(){ ll n, s, k; cin >> n >> s >> k; int ss = s - n * (n-1) * k / 2; if(ss<0){ cout << 0 << endl; return 0; } ll dp[n+1][ss+1];//dp[i][j] := jのi分割の総数 rep(i,n+1)rep(j,ss+1) dp[i][j] = 0; dp[0][0] = 1; for(int i=1; i<=n; i++){ for(int j=0; j<=ss; j++){ if(j-i>=0){ dp[i][j] = (dp[i-1][j] + dp[i][j-i]) % mod; } else{ dp[i][j] = dp[i-1][j]; } } } cout << dp[n][ss] << endl; }