#pragma GCC optimize("O3") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using P = pair; using T = tuple; template inline T chmax(T &a, const T b) {return a = (a < b) ? b : a;} template inline T chmin(T &a, const T b) {return a = (a > b) ? b : a;} constexpr int MOD = 1e9 + 7; constexpr int inf = 1e9; constexpr long long INF = 1e18; constexpr double pi = acos(-1); constexpr double EPS = 1e-10; int dx[] = {1, 0, -1, 0}; int dy[] = {0, 1, 0, -1}; int partition_function(int n, int m){ if(m < 0) return 0; vector> dp(n+1, vector(m+1, 0)); dp[0][0] = 1; for(int i=1; i<=n; i++){ for(int j=0; j<=m; j++){ if(0 <= j - i){ (dp[i][j] = dp[i-1][j] + dp[i][j-i]) %= MOD; } else{ dp[i][j] = dp[i-1][j]; } } } return dp[n][m]; } int main(){ cin.tie(0); ios::sync_with_stdio(false); int n, s, k; cin>>n>>s>>k; int M = s - n * (n - 1) / 2 * k; int N = n; cout << partition_function(N, M) << endl; return 0; }