cp/cses/introductory-problems/apple-division.cc
2025-04-30 16:28:40 -04:00

76 lines
1.5 KiB
C++

#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
u32 n;
cin >> n;
vector<u64> a(n);
for (auto& e : a)
cin >> e;
// auto dfs = [&](u32 i, u64 s1, auto&& self) -> u64 {
// if (i == n) {
// return max(s1, s2) - min(s1, s2);
// }
//
// return min(self(i + 1, s1 + a[i], self),
// self(i + 1, s1,self));
// };
//
// cout << dfs(0, 0, dfs) << '\n';
u64 total = accumulate(all(a), 0LL);
u64 ans = total;
for (u64 mask = 0; mask < (1LL << n); ++mask) {
u64 sum = 0;
for (u64 bit = 0; bit < n; ++bit) {
if (mask & (1LL << bit)) {
sum += a[bit];
}
}
ans = min(ans, max(total - sum, sum) - min(total - sum, sum));
}
cout << ans << '\n';
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
// cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}
return 0;
}
// }}}