#define _USE_MATH_DEFINES #include #include #include #include #include #include //#include #include #include #include #include #include #include ///////// #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i,n) REP(i,0,n) #define P(p) cout<<(p)< ///////// typedef long long LL; typedef long double LD; ///////// using namespace::std; ///////// const LL mod=(int)1e9+7; LL dp[20001]; int N,S,K; LL solve(){ rep(i,N){ if(i != N-1){ for(int zan=1;zan <= S;++zan){ if( dp[zan] ){ for(int k=1; k*(N-i) <= zan; ++k){ dp[ zan-k*(N-i) ] = (dp[ zan-k*(N-i) ] + dp[zan])%mod; } } } } else{ for(int zan=1;zan <= S;++zan){ dp[0] = (dp[0] + dp[zan] )%mod; } } } return dp[0]; } int main(void){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed;// //cout << setprecision(16);// cin>>N>>S>>K; S -=K*N*(N-1)/2; if(S < 0){ P(0); return 0; }else if(S==0){ P(1); return 0; } LL ans; dp[S] = 1; ans = solve(); P(ans); return 0; }