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#include <iostream> #include <vector> #include <cstring> using namespace std; typedef long long ll; const int maxn = 105; int food, rooms, max_cap; ll dp[maxn][maxn]; ll rec(int at_food, int room_cnt) { if(at_food == food and room_cnt == rooms) { return 1; } if(dp[at_food][room_cnt] != -1) { return dp[at_food][room_cnt]; } ll res = 0; for(int i = 1; i <= max_cap; i++) { if(at_food + i <= food) { res += rec(at_food + i, room_cnt + 1); } } dp[at_food][room_cnt] = res; return res; } int main() { ios_base::sync_with_stdio(false); cin >> food >> rooms >> max_cap; memset(dp, -1, sizeof dp); cout << rec(0, 0) << endl; return 0; }
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