#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 #include #include #include #include #include #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;Scan(__VA_ARGS__); template void Scan(T& t) { std::cin >> t; } templatevoid Scan(First& first, Rest&...rest) { std::cin >> first; Scan(rest...); } #define OUT(d) std::cout< c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; #define ALL(a) (a).begin(),(a).end() #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define PAIR std::pair #define IN(a, x, b) (a<=x && x(end-start).count();std::cerr<<"[Time:"< tmp(a);std::cout << #a << "\t:";for(int i=0; i(a.size()); ++i){std::cout << tmp.front() << "\n";tmp.pop();}std::cout << "\n";} //#define int ll using ll = long long; using ull = unsigned long long; constexpr int INFINT = 1 << 30; constexpr ll INFLL = 1LL << 60; constexpr double EPS = 0.0000000001; constexpr int MOD = 1000000007; // dp[i][j] = [0, i)の範囲で単調増加するように値を取った合計がjとなる場合の数(mod 1e9+7) int dp[105][20005]; signed main() { INIT; VAR(int, n, s, k); s -= (n - 1) * n / 2 * k; if (s < 0) { OUT(0)BR; return 0; } for (int i = 0; i <= s; i+=n) { dp[0][i] = 1; } FOR(i, 1, n) REP(j, s + 1) { dp[i][j] = dp[i - 1][j]; if (!IN(0, j - (n - i), s + 1)) continue; dp[i][j] += dp[i][j - (n - i)]; dp[i][j] %= MOD; } OUT(dp[n - 1][s])BR; return 0; }