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DPCoinChange.cpp
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74 lines (58 loc) · 1.52 KB
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#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <string>
#include <bitset>
#include <cstdio>
#include <limits>
#include <vector>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <fstream>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <unordered_map>
using namespace std;
long long make_change(vector<int> coins, int money, int maxi, vector<vector<vector<long long>>> * sol) {
if(coins.size() == 0 ){return 0;}
//cout << money <<","<<maxi<<endl;
if((*sol)[maxi][money][1] == 1){return (*sol)[maxi][money][0];}
if(money == 0){(*sol)[maxi][0][0] = 1; return 1;}
long long ways = 0;
int i = 0;
while(i < coins.size() && coins[i] <= money && coins[i] <= maxi){
ways = ways + make_change(coins, money-coins[i], coins[i], sol);
i++;
}
(*sol)[maxi][money][0] = ways;
(*sol)[maxi][money][1] = 1;
return ways;
}
int main(){
int n;
int m;
cin >> n >> m;
vector<int> coins(m);
for(int coins_i = 0;coins_i < m;coins_i++){
cin >> coins[coins_i];
}
if(n != 0){
sort(coins.begin(), coins.end());
vector<long long> sec(2,-1);
vector<vector<long long>> pair(n+1, sec);
vector<vector<vector<long long>>> sol(n+1, pair);
cout << make_change(coins, n,n, &sol) << endl;
}
else{
cout << 0;
}
return 0;
}