Submission #37425

#TimeUsernameProblemLanguageResultExecution timeMemory
37425HardNutBootfall (IZhO17_bootfall)C++14
13 / 100
139 ms4160 KiB
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<vector>
#include<bitset>

using namespace std;

const int N = 1e5 + 5;

typedef long long ll;

int n, a[505], sum, dp[250005];
vector<int> vec;
bitset<250005> b;
int ans[250005];

int main() {
//    freopen("bootfall.in", "r", stdin);
//    freopen("bootfall.out", "w", stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        sum += a[i];
    }
    if (sum % 2 == 1) {
        cout << 0;
        return 0;
    }
    bool u = 0;
    dp[0] = 1;
    for (int i = 1; i <= n; i++) {
        for (int j = 0; j <= sum; j++) {
            if (dp[j]) {
                if (j + a[i] == sum / 2)
                    u = 1;
                dp[j + a[i]] = 1;
            }
        }
    }
    for (int i = 1; i <= sum; i++)
        ans[i] = 1;
    if (!u) {
        cout << 0;
        return 0;
    }
    for (int i = 1; i <= n; i++) {
        b.reset();
        b[0] = 1;
        for (int j = 1; j <= n; j++) {
            if (i != j)
                b |= (b << a[j]);
        }
        for (int j = 1; j <= sum; j++) {
            if ((sum + j - a[i]) % 2) {
                ans[j] = 0;
                continue;
            }
            if (!b[(sum + j - a[i]) / 2]) {
                ans[j] = 0;
            }
        }
    }
    int cnt = 0;
    for (int i = 1; i <= sum; i++) {
        cnt += ans[i];
    }
    cout << cnt << "\n";
    for (int i = 1; i <= sum; i++)
        if (ans[i])
            cout << i << " ";
}
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