#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // ascending order #define vsort(v) sort(v.begin(), v.end()) // descending order #define vsort_r(v) sort(v.begin(), v.end(), greater()) #define vunique(v) v.erase(unique(v.begin(), v.end()), v.end()) #define mp make_pair #define ts(x) to_string(x) #define rep(i, a, b) for(int i = (int)a; i < (int)b; i++) #define repm(i, a, b) for(int i = (int)a; i > (int)b; i--) #define bit(a) bitset<8>(a) #define des_priority_queue priority_queue, greater > template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } typedef long long ll; typedef pair P; const ll INF = 1e18; #define MAX_V 1000000 int main(){ cin.tie(0); ios::sync_with_stdio(false); int n, s, k; cin >> n >> s >> k; int mod = 1e9 + 7; int diff = n * (n - 1) / 2 * k; if(s - diff < 0) { cout << 0 << endl; return 0; } int dp[n + 1][s - diff + 1]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; rep(i, 1, n + 1) { rep(j, 0, s - diff + 1) { 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][s - diff] << endl; }