#include //#include #define rep(i, n) for(int i = 0; i < (n); ++i) #define DEBUG #ifdef DEBUG #define DEBUG_PRINT(fm, ...) do{std::printf("%s:%d(%s)", __FILE__, __LINE__, __func__);std::cout << "DEBUG PRINT ";std::printf(fm, __VA_ARGS__);}while(0) #define DEBUG_VAL(a, b) do{std::printf("%s:%d(%s)", __FILE__, __LINE__, __func__);std::cout <<"DEBUG VAL " << a << ":" << b << endl;}while(0) #else #define DEBUG_PRINT(...)do{}while(0); #define DEBUG_VAL(a, b)do{}while(0); #endif using namespace std; //using namespace atcoder; using ll = long long; using v1 = vector; using vl = vector; using v2 = vector>; using v3 = vector>; int main(){ int n, s, k; cin >> n >> s >> k; s -= n*k*(n-1)/2; int m=1e9+7; if(s < 0){ cout << 0 << endl; }else{ v2 dp(n+1, v1(s+1, 0)); dp[0][0] = 1; for(int i = 1; i<=n; i++){ for(int j = 0; j <= s; j++){ if(j >= i) dp[i][j] = (dp[i][j-i] + dp[i-1][j])%m; else dp[i][j] = dp[i-1][j]; } } cout << dp[n][s] << endl; } }