#include #define REP(i,a,b) for (int i=(a);i<(b);++i) #define rep(i,n) REP(i,0,n) #define sz(x) (x).size() using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; const int INF = 1e9; const ll LINF = 1LL<<60; const ll MOD = 1e9+7; 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; } ll n,s,k,dp[101][20001]; int main() { cin>>n>>s>>k; ll ks = 0; rep(i,n) ks += k*i; if (ks > s) { cout << 0 << '\n'; return 0; } ll r = s-ks; dp[0][0] = 1; REP(i,1,n+1) { rep(j,r+1) { if (j-i >= 0) dp[i][j] = (dp[i][j-i]%MOD+dp[i-1][j]%MOD)%MOD; else dp[i][j] = dp[i-1][j]%MOD; } } cout << dp[n][r] << '\n'; return 0; }