제출 #673442

#제출 시각아이디문제언어결과실행 시간메모리
673442pragmatistBootfall (IZhO17_bootfall)C++17
100 / 100
946 ms5460 KiB
/*
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("O3")
#pragma GCC target ("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
*/

#pragma GCC target("avx2", "bmi", "bmi2", "lzcnt", "popcnt")

#include<bits/stdc++.h>
 
#define sz(v) (int)v.size()
#define ll long long
#define pb push_back
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define nl "\n"

using namespace std;
using pii = pair<int, int>;

const int N = (int)5e2 + 7; // make sure this is right
const int M = N * N;
const int inf = (int)1e9;
const ll INF = (ll)3e18 + 7; 
const ll MOD = (ll)1e18 + 7; // make sure this is right

pii dir[] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};

int n, a[N];
ll dp[M], cnt[M];

ll sum(ll x, ll y) {
	x += y;
	if(x >= MOD) x -= MOD;
	return x;
}

ll sub(ll x, ll y) {
	x -= y;
	if(x < 0) x += MOD;
	return x;
}

void add(int x) {
	for(int i = M - 1; i >= x; --i) {
		dp[i] = sum(dp[i], dp[i - x]);
	}
}

void del(int x) {
	for(int i = x; i < M; ++i) {
		dp[i] = sub(dp[i], dp[i - x]);
	}
}

void solve() {
	cin >> n;
	dp[0] = 1;
	int sum = 0;
	for(int i = 1; i <= n; ++i) {
		cin >> a[i];
	    add(a[i]);
		sum += a[i];
	}
	if((sum & 1) || !dp[sum / 2]) {
		cout << "0\n";
		return;
	}
	for(int i = 1; i <= n; ++i) {
		del(a[i]);
		for(int x = 1; x < M; ++x) {
			if(dp[x] > 0 && 2 * x > sum - a[i]) {
				int need =  2 * x - sum + a[i];
				cnt[need]++;
			}
		}
		add(a[i]);
	}
	vector<int> ans;
	for(int x = 1; x < M; ++x) if(cnt[x] == n) ans.pb(x);
	cout << sz(ans) << nl;
	for(auto x : ans) cout << x << ' ';
}

signed main() {	
	ios_base::sync_with_stdio(0);
	cin.tie(0);                                                         

	int test = 1;
	//cin >> test;
	for(int i = 1; i <= test; ++i) {
	 	//cout << "Case #" << i << ": ";
		solve();
	}
	return 0;
}
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