Submission #872421

#TimeUsernameProblemLanguageResultExecution timeMemory
872421KiaRezBootfall (IZhO17_bootfall)C++17
100 / 100
154 ms3612 KiB
/*
    IN THE NAME OF GOD
*/
#include <bits/stdc++.h>

// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;

#define F                                      first
#define S                                      second
#define Mp                                     make_pair
#define pb                                     push_back
#define pf                                     push_front
#define size(x)                                ((ll)x.size())
#define all(x)                                 (x).begin(),(x).end()
#define kill(x)		                           cout << x << '\n', exit(0);
#define fuck(x)                                cout << "(" << #x << " , " << x << ")" << endl
#define endl                                   '\n'

const int N = 3e5+23, lg = 18;
int Mod = 1e9+7; //998244353;

inline int MOD(int a, int mod=Mod) {
	while(a>=mod) {a-=mod;} 
	(a<0)&&(a+=mod); 
	return a;
}
int n, sum, a[505], res[505*505], dp[505*505];

void add(int i) {
	for(int x=500*500; x>=a[i]; x--) {
		dp[x] = (dp[x] + dp[x-a[i]]);
	}
}

void del(int i) {
	for(int x=a[i]; x<=500*500; x++) {
		dp[x] = (dp[x] - dp[x-a[i]]);
	}
}

int main () {
	ios_base::sync_with_stdio(false), cin.tie(0);

	cin>>n;
	for(int i=1; i<=n; i++) {
		cin>>a[i]; sum+=a[i];
	}

	dp[0] = 1;
	for(int i=1; i<=n; i++) {
		add(i);
	}
	if(dp[sum/2] == 0 || sum%2==1) kill(0); 

	for(int i=1; i<=n; i++) {
		del(i);
		int x = (sum-a[i])%2;
		for(int j=(x==0?2:1); j<=500*500; j+=2) {
			res[j] |= (dp[(sum-a[i]+j)/2] == 0);
		}
		for(int j=(x==0?1:2); j<=500*500; j+=2) {
			res[j] |= 1;
		}
		add(i);
	}
	vector<int> ans;
	for(int i=1; i<=500*500; i++) {
		if(res[i] == 0) ans.pb(i);
	}

	cout<<size(ans)<<endl;
	for(auto it : ans) {
		cout<<it<<' ';
	}

	return 0;
}
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