#include #include #include #include #include #include #include #include #include #include using namespace std; #define MOD 1000000007 ostream& operator << (ostream& os, vector& v){ for(int i=0; i> n >> s >> k; vector dp(s+1, 0); for(int i=0; i<=s; i++){ if(s < i*n) break; dp[s - i*n] = 1; } //cerr << dp << endl; for(int i=1; i dp_(s+1, 0); for(int j=0; j<=s; j++){ if(j - k*(n-i) < 0) continue; long long& v = dp_[ j-k*(n-i) ]; v += dp[j]; if( v >= MOD ) v-=MOD; } vector visit(s+1, false); for(int j=s; j>=0; j--){ int pos = j; while(pos >= 0 && visit[pos] == false){ visit[pos] = true; if( pos - (n-i) < 0) continue; dp_[pos - (n-i)] += dp_[pos]; if(dp_[pos - (n-i)] >= MOD) dp_[pos - (n-i)] -= MOD; } } swap(dp, dp_); } cout << dp[0] << endl; return 0; }