204D.cpp

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using str = string;
using pint = pair<int, int>;
using pll = pair<ll, ll>;
template<class T>using vc = vector<T>;
template<class T>using vvc = vc<vc<T>>;
using vint = vc<int>;
using vll = vc<ll>;
using vstr = vc<str>;
using vpint = vc<pint>;
using vpll = vc<pll>;
using vbool = vc<bool>;
using vvint = vvc<int>;
using vvll = vvc<ll>;
using pqueue = priority_queue<ll, vll, greater<ll>>;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n)          for(ll i = 0; i < (n); ++i)
#define rep2(i, n)       for(ll i = 0; i < (n); ++i)
#define rep3(i, a, b)    for(ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for(ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define each1(a)       for(auto&& i : a)
#define each2(i,a)     for(auto&& i : a)
#define each3(x,y,a)   for(auto&& [x, y] : a)
#define each4(x,y,z,a) for(auto&& [x, y, z] : a)
#define each(...) overload4(__VA_ARGS__, each4, each3, each2, each1)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()

void yesno(bool flag){cout << (flag ? "Yes" : "No") << endl;}

int main() {
    ll n; cin >> n;
    vll t(n); rep(n) cin >> t[i];
    ll sum = accumulate(all(t), 0ll);
    vvll dp(n+1, vll(sum+1, 0));
    dp[0][0] = 1;
    rep(n){
        rep(j, sum+1){
            if(j-t[i] >= 0) dp[i+1][j] = dp[i][j] | dp[i][j-t[i]];
            else dp[i+1][j] = dp[i][j];
        }
    }
    rep(i, (sum+1)/2, sum+1){
        if(dp[n][i]){
            cout << i << endl;
            return 0;
        }
    }
}