Submission #1109757

#TimeUsernameProblemLanguageResultExecution timeMemory
1109757Kirill22Bootfall (IZhO17_bootfall)C++17
100 / 100
721 ms4572 KiB
#include "bits/stdc++.h"

using namespace std;

const int mod = 998244353, mod2 = (int) 1e9 + 7;
const int N = 500 * 500 + 22;
int dp[N], dp2[N];

void solve() {
    int n;
    cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    int S = std::accumulate(a.begin(), a.end(), 0);
    dp[0] = dp2[0] = 1;
    for (auto& x : a) {
        for (int j = N - 1; j >= x; j--) {
            dp[j] += dp[j - x];
            if (dp[j] >= mod) {
                dp[j] -= mod;
            }
            dp2[j] += dp2[j - x];
            if (dp2[j] >= mod2) {
                dp2[j] -= mod2;
            }
        }
    }
    vector<int> good(S, 0);
    if (S % 2 != 0 || (dp[S / 2] == 0 && dp2[S / 2] == 0)) {
        cout << 0 << '\n';
        return;
    }
    for (int i = 0; i < n; i++) {
        int x = a[i];
        for (int j = x; j < N; j++) {
            dp[j] -= dp[j - x];
            if (dp[j] < 0) {
                dp[j] += mod;
            }
            dp2[j] -= dp2[j - x];
            if (dp2[j] < 0) {
                dp2[j] += mod2;
            }
        }
        for (int val = 1; val < S; val++) {
            int Sval = S + val - x;
            if (Sval % 2 != 0 || (dp[Sval / 2] == 0 && dp2[Sval / 2] == 0)) {
                continue;
            }
            good[val]++;
        }
        for (int j = N - 1; j >= x; j--) {
            dp[j] += dp[j - x];
            if (dp[j] >= mod) {
                dp[j] -= mod;
            }
            dp2[j] += dp2[j - x];
            if (dp2[j] >= mod2) {
                dp2[j] -= mod2;
            }
        }
    }
    vector<int> ans;
    for (int i = 0; i < S; i++) {
        if (good[i] == n) {
            ans.push_back(i);
        }
    }
    cout << ans.size() << '\n';
    for (auto& i : ans) {
        cout << i << " ";
    }
    cout << '\n';
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
//    cin >> t;
    while (t--) {
        solve();
    }
}
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