Dr. Henri and Responsibility

    1#include <bits/stdc++.h>
    2using namespace std;
    3using ll = long long;
    4using i128 = __int128;
    5const int inf = 1e9;
    6const ll INF = 1e18; //❄️
    7int main() {
    8    ios::sync_with_stdio(0); cin.tie(0); 
    9    int n; cin >> n;
    10    vector<int> v(n);
    11    int sum = 0;
    12    for (int i = 0; i < n; i++) {
    13        cin >> v[i];
    14        sum += v[i];
    15    }
    16    int half = sum / 2;
    17    vector<bool> dp(half + 1);
    18    dp[0] = 1;
    19    for (int x : v) {
    20        for (int i = half; i >= x; i--) {
    21            if (dp[i - x]) {
    22                dp[i] = 1;
    23            }
    24        }
    25    }
    26    int ans = 0;
    27    for (int i = dp.size() - 1; i >= 0; i--) {
    28        if (dp[i]) {
    29            ans = sum - i * 2LL;
    30            break;
    31        }
    32    }
    33    cout << ans << '\n';
    34    return 0;
    35}