Submission #499298

#TimeUsernameProblemLanguageResultExecution timeMemory
499298speedyArdaBank (IZhO14_bank)C++14
100 / 100
144 ms8524 KiB
#include "bits/stdc++.h"
#define pb push_back
#define vll vector<long long>
#define vb vector<bool>
#define vi vector<int>
#define vs vector<string>
#define vpii vector< pair<int, int> >
#define pii pair<int, int>
#define pll pair<long long, long long>
#define vvi vector< vector<int> > 
#define ld long double
#define mp make_pair
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(NULL);
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
using namespace std;
using ll = long long;
const int MAXN = 2e5;
int MOD = 1e9+7;
int main() {
	int people_num;
	int note_num;
	std::cin >> people_num >> note_num;
	vector<int> people(people_num);
	vector<int> banknotes(note_num);
	for (int& p : people) {
		std::cin >> p;
	}
	for (int& b : banknotes) {
		std::cin >> b;
	}

	vector<int> leftover(1 << note_num, -1);
	vector<int> people_covered(1 << note_num, -1);
	leftover[0] = 0;
	people_covered[0] = 0;
	for (int s = 0; s < (1 << note_num); s++) {
		for (int last = 0; last < note_num; last++) {
			if ((s & (1 << last)) == 0) {
				continue;
			}
			int prev = s & ~(1 << last);
			if (people_covered[prev] == -1) {
				continue;
			}

			int new_amt = leftover[prev] + banknotes[last];
			// the salary of the current person we're going to try to pay
			int curr_target = people[people_covered[prev]];
			// if it's still not enough, just increment the leftover pile
			if (new_amt < curr_target) {
				people_covered[s] = people_covered[prev];
				leftover[s] = new_amt;
			}
			/*
			 * or it's exactly right, in which case reset the leftover count
			 * and increment the covered amount
			 */
			else if (new_amt == curr_target) {
				people_covered[s] = people_covered[prev] + 1;
				leftover[s] = 0;
			}
		}
		// we've covered all the people!
		if (people_covered[s] == people_num) {
			cout << "YES" << endl;
			return 0;
		}
	}
	cout << "NO" << endl;
}
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