#include using namespace std; //#include //using namespace atcoder; using ll = long long; using vll = vector; using vvll = vector; using vvvll = vector; using vvvvll = vector; using vvvvvll = vector; using vvvvvvll = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vvvvb = vector; using vd = vector; using vvd = vector; using vvvd = vector; using vvvvd = vector; using vvvvvd = vector; #define all(A) A.begin(),A.end() #define ALL(A) A.begin(),A.end() #define rep(i, n) for (ll i = 0; i < (ll) (n); i++) using pqr = priority_queue, vector>, greater>>; #define tN(t) (t==1?XN:YN) #define tS(t) (t==1?XS:YS) #define tA(t) (t==1?XA:YA) template bool chmax(T& p, T q, bool C = 1) { if (C == 0 && p == q) { return 1; } if (p < q) { p = q; return 1; } else { return 0; } } template bool chmin(T& p, T q, bool C = 1) { if (C == 0 && p == q) { return 1; } if (p > q) { p = q; return 1; } else { return 0; } } ll gcd(ll(a), ll(b)) { if (b == 0)return a; ll c = a; while (a % b != 0) { c = a % b; a = b; b = c; } return b; } ll sqrtz(ll N) { ll L = 0; ll R = sqrt(N) + 10000; while (abs(R - L) > 1) { ll mid = (R + L) / 2; if (mid * mid <= N)L = mid; else R = mid; } return L; } vector fact, factinv, inv; const ll mod = 1e9 + 7; void prenCkModp(ll n) { fact.resize(n + 5); factinv.resize(n + 5); inv.resize(n + 5); fact[1] = fact[1] = 1; factinv[1] = factinv[1] = 1; inv[1] = 1; for (ll i = 2; i < n + 5; i++) { fact[i] = (fact[i - 1] * i) % mod; inv[i] = mod - (inv[mod % i] * (mod / i)) % mod; factinv[i] = (factinv[i - 1] * inv[i]) % mod; } } ll nCk(ll n, ll k) { if (n < k) return 0; return fact[n] * (factinv[k] * factinv[n - k] % mod) % mod; } //const ll mod=1e9+7; ll N, S, K; vvll DP; ll dfs(ll n, ll s) { if (DP[n][s] >= 0)return DP[n][s]; if (n == 0) { return (s == 0); } else { ll res = 0; res+=dfs(n-1,s); if(s>=n)res+=dfs(n,s-n); res%=mod; DP[n][s] = res; return res; } } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cin >> N >> S >> K; DP.assign(N + 1, vll(S + 1, -1)); S -= ((N * (N - 1)) / 2) * K; if (S < 0) { cout << 0 << endl; return 0; } cout << dfs(N, S) << endl; }