Submission #572813

#TimeUsernameProblemLanguageResultExecution timeMemory
572813vovamrBootfall (IZhO17_bootfall)C++17
100 / 100
948 ms3408 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fi first
#define se second
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) 	(x).begin(), (x).end()
#define pb push_back
#define mpp make_pair
#define ve vector
using namespace std;
using namespace __gnu_pbds;
template<class T> using oset = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
const ll inf = 1e18; const int iinf = 1e9;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline bool chmin(T& a, T b) { return (a > b ? a = b, 1 : 0); }
template <typename T> inline bool chmax(T& a, T b) { return (a < b ? a = b, 1 : 0); }

const int N = 550;
const int MX = N * N;
int a[N]; pii dp[MX + 1];

const int md1 = 1e9 + 9;
const int md2 = 998244353;
inline void add1(int &a, int b) { a += b; if (a >= md1){a -= md1;} }
inline void sub1(int &a, int b) { a -= b; if (a < 0){a += md1;} }
inline void add2(int &a, int b) { a += b; if (a >= md2){a -= md2;} }
inline void sub2(int &a, int b) { a -= b; if (a < 0){a += md2;} }
inline void add(pii &a, pii b) { add1(a.fi, b.fi), add2(a.se, b.se); }
inline void sub(pii &a, pii b) { sub1(a.fi, b.fi), sub2(a.se, b.se); }

inline void solve() {
	int n;
	cin >> n;
	for (int i = 0; i < n; ++i) cin >> a[i];

	dp[0] = {1, 1};
	for (int i = 0; i < n; ++i) {
		for (int j = MX - a[i]; ~j; --j) {
			add(dp[a[i] + j], dp[j]);
		}
	}

	int s = accumulate(a, a + n, 0);
	if (!dp[s >> 1].fi && !dp[s >> 1].se) return void(cout << 0);

	bitset<MX> res; res.set();

	for (int i = 0; i < n; ++i) {
		for (int j = 0; j <= MX - a[i]; ++j) {
			sub(dp[a[i] + j], dp[j]);
		}
		bitset<MX> now;
		for (int x = 0; x < MX; ++x) {
			if ((s - a[i] + x) & 1) continue;
			if (dp[(s - a[i] + x) >> 1].fi || dp[(s - a[i] + x) >> 1].se) now.set(x);
		}
		res &= now;

		for (int j = MX - a[i]; ~j; --j) {
			add(dp[a[i] + j], dp[j]);
		}
	}

	int ans = res.count();

	cout << ans << '\n';
	int pos = res._Find_first();

	for (int i = 0; i < ans; ++i) {
		cout << pos << " ";
		pos = res._Find_next(pos);
	}
}

signed main() {
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	int q = 1; // cin >> q;
	while (q--) solve();
	cerr << fixed << setprecision(3) << "Time execution: " << (double)clock() / CLOCKS_PER_SEC << endl;
}
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