Submission #1088843

#TimeUsernameProblemLanguageResultExecution timeMemory
1088843TrinhKhanhDungBootfall (IZhO17_bootfall)C++14
100 / 100
243 ms3400 KiB
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(1e9 + 7)

using namespace std;

template<class T1, class T2>
    bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}

template<class T1, class T2>
    bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}

template<class T1, class T2>
    void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}

template<class T1, class T2>
    void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}

template<class T>
    void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}

const int MAX = 503;

int N;
int a[MAX], f[MAX * MAX];

void solve(){
    cin >> N;
    int S = 0;
    for(int i = 1; i <= N; i++){
        cin >> a[i];
        S += a[i];
    }
    f[0] = 1;
    for(int i = 1; i <= N; i++){
        for(int j = S; j >= a[i]; j--){
            f[j] += f[j - a[i]];
        }
    }

    if(S % 2 || !f[S / 2]){
        cout << 0 << '\n';
        return;
    }

    vector<int> ans;
    for(int i = 1; i <= S; i++) ans.push_back(i);
    for(int i = 1; i <= N; i++){
        for(int j = a[i]; j <= S; j++) f[j] -= f[j - a[i]];
        vector<int> tmp;
        tmp.reserve(sz(ans));
        for(int x: ans){
            int tS = S - a[i] + x;
            if(tS % 2 == 0 && f[tS / 2]){
                tmp.push_back(x);
            }
        }
        ans = tmp;
        for(int j = S; j >= a[i]; j--) f[j] += f[j - a[i]];
    }

    cout << sz(ans) << '\n';
    for(int x: ans) cout << x << ' ';
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
    // freopen("order.inp","r",stdin);
    // freopen("order.out","w",stdout);

    solve();

    return 0;
}
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