Submission #1022385

#TimeUsernameProblemLanguageResultExecution timeMemory
1022385phoenixBootfall (IZhO17_bootfall)C++17
44 / 100
945 ms3304 KiB
#include <bits/stdc++.h>

using namespace std;

const int MOD1 = 1e9 + 7;
const int MOD2 = 1e9 + 9;
const int MOD3 = 998244353;
const int MOD4 = 999990011;

template<unsigned int MOD> 
struct mint {
    int v;
    mint() {}
    mint(long long val) : v(val % MOD + (val < 0) * MOD) {}
    mint<MOD>& operator += (mint<MOD> other) {
        *this = mint(v + other.v);
        return *this;
    }
    mint<MOD>& operator -= (mint<MOD> other) {
        *this = mint(v - other.v);
        return *this;
    }
};
const int N = 550;
const int A = 250000;

mint<MOD1> dp1[A]{1};
mint<MOD2> dp2[A]{1};
int sum = 0;

void add(int val) {
    sum += val;
    for (int i = A - 1; i >= val; i--) {
        dp1[i] += dp1[i - val];
        dp2[i] += dp2[i - val];
    }   
}

bool check(int sum) {
    assert(0 <= sum && sum < A);
    bool flag = true;
    flag &= (dp1[sum].v > 0);
    flag &= (dp2[sum].v > 0);
    return flag;
}

void del(int val) {
    sum -= val;
    for (int i = val; i < A; i++) {
        dp1[i] -= dp1[i - val];
        dp2[i] -= dp2[i - val];
    }
}

int n;
int a[N];

int cnt[A];

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin >> n;
    for (int i = 0; i < n; i++)
        cin >> a[i];
    for (int i = 0; i < n; i++) {
        add(a[i]);
    }
    if (sum & 1 || !check(sum / 2)) {
        cout << 0;
        return 0;
    }

    for (int i = 0; i < n; i++) {
        if (i) add(a[i - 1]);
        del(a[i]);
        for (int s = 0; s < A; s++) {
            if (check(s)) {
                cnt[abs(2 * s - sum)]++;
            }
        }
    }
    vector<int> res;
    for (int i = 0; i < A; i++) {
        if (cnt[i] == 2 * n) 
            res.push_back(i);
    }
    cout << (int)res.size() << '\n';
    for (int c : res) cout << c << ' ';
}
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