제출 #729669

#제출 시각아이디문제언어결과실행 시간메모리
729669yhlasBootfall (IZhO17_bootfall)C++17
13 / 100
368 ms340 KiB
#include "bits/stdc++.h"
using namespace std;

int32_t main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	int n;
	cin >> n;
	vector <int> a(n + 1, 0);
	int sm = 0;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		sm += a[i];
	}
	
	if (sm % 2) return cout << 0, 0;
	
	int m = (sm + 3000)>>1;

	vector <int> dp(m + 1, 0);
	dp[0] = 1;
	for (int i = 1; i <= n; i++) {
		for (int j = m - a[i]; j >= 0; j--) dp[j + a[i]] += dp[j];
	}

	if (!dp[sm>>1]) return cout << 0, 0;

	vector <int> ans;
	int x = 0;
	while (++x <= 3000) {
		int smv = sm + x;
		int mv = smv>>1;
		
		vector <int> v = a; v.push_back(x);
		
		vector <int> can = dp;
		for (int i = mv; i >= x; i--) can[i] += can[i - x];
			
		bool tr = true;
		for (int i = 1; i <= n + 1; i++) {
			if ((smv - v[i]) % 2) {
				tr = false;
				break;
			}
			
			for (int j = v[i]; j <= mv; j++) can[j] -= can[j - v[i]];
			
			if (!can[(smv - v[i])>>1]) {
				tr = false;
				break;
			}
			
			for (int j = mv; j >= v[i]; j--) can[j] += can[j - v[i]];
		}
		
		if (tr) ans.push_back(x);
	}
	
	cout << (int)ans.size() << '\n';
	for (auto i : ans) cout << i << ' ';
}
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