#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef vector vl; typedef vector> vvl; typedef pair P; #define rep(i, n) for(ll i = 0; i < n; i++) #define exrep(i, a, b) for(ll i = a; i <= b; i++) #define out(x) cout << x << endl #define exout(x) printf("%.10f\n", x) #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define pb push_back #define re0 return 0 const ll mod = 1000000007; const ll INF = 1e16; int main() { ll n, s, k; cin >> n >> s >> k; ll x = s - k * (n - 1) * n / 2; if(x < 0) { out(0); re0; } vvl dp(x+1, vl(n+1)); // dp[i][j] : iをj個以下に分割する方法の数 dp[0][1] = 1; exrep(i, 0, x) { exrep(j, 1, n) { dp[i][j] += dp[i][j-1]; if(i - j >= 0) { dp[i][j] += dp[i - j][j]; } dp[i][j] %= mod; } } out(dp[x][n]); re0; }