#include #include using ll = long long; using namespace std; static const int MOD = 1000000007; int main() { int n, s, k; cin >> n >> s >> k; int minsum = k * n * (n-1) / 2; if(minsum > s) { cout << 0 << "\n"; return 0; } vector> v(2, vector(20001, 0)); v[0][0] = 1; s = s - minsum; for (int i = 1; i <= n; ++i) { int now = i % 2, prv = now^1; v[now].assign(v[now].size(), 0); for (int j = 0; j <= s; ++j) { if(j >= i){ v[now][j] = (v[prv][j] + v[now][j-i]) % MOD; }else { v[now][j] = v[prv][j]; } } } cout << v[n%2][s]; return 0; }