제출 #1288346

#제출 시각아이디문제언어결과실행 시간메모리
1288346muhammad-mutahir은행 (IZhO14_bank)C++20
71 / 100
1097 ms24848 KiB
#include <bits/stdc++.h>
using namespace std;

#define print(l) for(auto i:l) cout<<i<<" ";cout<<endl;
#define input(t,l,n) vector<t>l(n);for(int i = 0;i<n;i++)cin>>l[i];
#define int long long
#define pb push_back
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> 
#define all(l) l.begin(),l.end()
#define pii pair<int,int>
#define fi first
#define se second

const int M = 1e6+3;
const int inf = 1e18;


int bp(int x, int y, int p){
    int res = 1;
    x = x % p;
    while (y > 0) {
 
        if (y & 1)
            res = (res * x) % p;
        y = y >> 1;
        x = (x * x) % p;
    }
    return res;
}
 
int MI(int n, int p){
    return bp(n, p - 2, p);
}
int mul(int x,int y, int p){
    return x * 1ull * y % p;
}
int di(int x,int y, int p){
    return mul(x, MI(y, p), p);
}


int n , m , k , q;

 
void solve(int testcase_number){
    cin>>n>>m;
//     dp[k][i] take element with mask k to pay first i
//     dp[k][i] =  dp[k'][i-1] and sum of extra bank notes = a[i];
//     dp[0][0] = 1;
//     ans = dp[all pos k ][n];

	int A[n];		
	int BK[m];
	for(int i =0 ;i<n;i++){
		cin>>A[i];
	}
	for(int i = 0;i<m;i++){
		cin>>BK[i];
	}
	if(n == 1){
		for(int mask = 1;mask<(1<<m);mask++){
			int sum = 0;
	
			for(int j = 0;j<m;j++){
				sum+=BK[j]*((mask&(1<<j)) != 0);
			}
			if(sum == A[0]){
				cout<<"YES"<<endl;
				return;
			}
		}
		cout<<"NO"<<endl;
		return;
	}
	
	int dp[(1<<m) +10][n+1];
	
	for(int i = 0;i<=n;i++){
		for(int j = 0;j<=(1<<m);j++){
			dp[j][i] = 0;
		}
	}
	
	dp[0][0] = 1;
	for(int mask = 1;mask<(1<<m);mask++){
		int sum = 0;

		for(int j = 0;j<m;j++){
			sum+=BK[j]*((mask&(1<<j)) != 0);
		}
		
		for(int j = 1;j<=n;j++){
			
			for (int submask = mask; 1; submask = (submask - 1) & mask) {
				// cout<<submask<<" ";
				int sum1 = 0;
				for(int ki = 0;ki<m;ki++){
					sum1+=BK[ki]*((submask&(1<<ki)) != 0);
				}
				
				if(sum-sum1 == A[j-1] and dp[submask][j-1] ){
					dp[mask][j] = 1;
					break;
				}
				if(submask == 0)break;
		    }
		    // cout<<endl;
			// for(int submask = 0;submask<(1<<m);submask++){
				// if((submask & mask) != submask)continue;
				// cout<<submask<<" ";	
// 					
			// }
			// cout<<endl;
			
		}
	}
	
	for(int mask = 0;mask<(1<<m);mask++){
		if(dp[mask][n]){
			// cout<<i<<endl;
			cout<<"YES"<<endl;
			return;
		}
	}
	cout<<"NO"<<endl;

}








signed main(){
    ios::sync_with_stdio(0);//DO NOT USE IN INTERACTIVE
    cin.tie(0), cout.tie(0);
    cout << fixed<<setprecision(9);
    
    int t = 1;
    // cin>>t;
    for(int i = 1;i<=t;i++){
        solve(i);
    }

}
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