#include using namespace std; #define repr(i,a,b) for(int i=a;i=a;i--) // [a, b) #define reprev(i,n) reprrev(i,0,n) typedef long long ll; typedef unsigned long long ull; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } const ll mod = 1e9+7; void chmod(ll &M){ if(M >= mod) M %= mod; else if(M < 0){ M += (abs(M)/mod + 1)*mod; M %= mod; } } ll modpow(ll x, ll n){ if(n==0) return 1; ll res=modpow(x, n/2); if(n%2==0) return res*res%mod; else return res*res%mod*x%mod; } int getl(int i, int N) { return i==0? N-1:i-1; }; int getr(int i, int N) { return i==N-1? 0:i+1; }; // 線分 ab の偏角 返り値は[-π, π] double argument(const pair &a, const pair &b){ double ax=a.first, ay=a.second, bx=b.first, by=b.second; return atan2(by-ay, bx-ax); } /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* <-----------------------------------------------------------------------------------> */ /* 注意 1LL<<60 * N とかのオーバーフローに気を付けろ 制約がヒントになる、ちゃんと全ての制約を見ろ */ int main(void) { cin.tie(0); ios::sync_with_stdio(false); ll n, s, k; cin >> n >> s >> k; ll S = s - n*(n-1)/2*k; if (S < 0) { cout << 0 << endl; return 0; } vector> dp(S+5, vector(n+5, 0)); dp[0][0] = 1; rep(i, S+1) repr(j, 1, n+1) { dp[i][j] = dp[i][j-1]; if (i-j>=0) dp[i][j] += dp[i-j][j]; chmod(dp[i][j]); } cout << dp[S][n] << endl; return 0; }