This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#include <algorithm>
using std::cout;
using std::endl;
using std::vector;
/**
* https://oj.uz/problem/view/IZhO14_bank
* 2 6
* 9 10
* 5 4 8 6 3 11 should output NO
*/
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);
vector<int> people_covered(1 << note_num);
leftover[0] = 0; // making base case explicit
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);
int new_amt = leftover[prev] + banknotes[last];
int curr_target = people[people_covered[prev]];
if (new_amt < curr_target) {
people_covered[s] = people_covered[prev];
leftover[s] = new_amt;
} else if (new_amt == curr_target) {
people_covered[s] = people_covered[prev] + 1;
}
}
if (people_covered[s] == people_num) {
cout << "YES" << endl;
return 0;
}
}
cout << "NO" << endl;
}
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