Submission #88169

#TimeUsernameProblemLanguageResultExecution timeMemory
88169ScayreBootfall (IZhO17_bootfall)C++14
100 / 100
408 ms5200 KiB
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//         INFO          //
//                       //
//    Handle -> Scayre   //
//                       //
//   Template vers. 1.1  //
//                       //
//   It'll be accepted   //
//                       //
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#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <string>
#include <bitset>
#include <cstdio>
#include <limits>
#include <complex>
#include <vector>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <fstream>
#include <numeric>
#include <sstream>
#include <cassert>
#include <iomanip>
#include <iostream>
#include <algorithm>

#define ll long long
#define ld long double
#define ull unsigned ll
#define ioi exit(0);

#define f first
#define s second

#define inf (int)1e9 + 7

#define NFS ios_base :: sync_with_stdio(0), cin.tie(0), cout.tie(0);

#define mp(x,y) make_pair(x,y)

#define lb(x) lower_bound(x)
#define ub(x) upper_bound(x)

#define pb push_back
#define ppb pop_back

#define bitcoin __builtin_popcount

#define endl "\n"

#define in(x) insert(x)

#define sz(x) (int)x.size()

#define all(x) x.begin(),x.end()

#define pw2(x) (1<<x) //2^x

#define forit(it,v) for (typeof(v.begin()) it = v.begin(); it != v.end(); ++it)

#define sqr(x) ((x) * 1ll * (x))

#define UpdateRandom srand (time(NULL));

using namespace std;

const int N = (int)5e5 + 7, MOD = (int)1e9 + 7;

int n;

int a[N];

ll sum;

ll dp[N];

int u[N];

vector<int> v;

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

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

int main(){

	#ifdef IOI2019
		freopen ("in.txt", "r", stdin);
	#endif

	NFS

	cin >> n;

	dp[0]=1;

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

	if(sum%2!=0 || dp[sum/2]==0){
		cout << 0 << endl;
		ioi
	}

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

	for(int i=1;i<=sum;i++){
		if(!u[i]){
			v.pb(i);
		}
	}

	cout << sz(v) << endl;

	for(int i=0;i<sz(v);i++){
		cout << v[i] << ' ';
	}

	#ifdef IOI2019
		cout << "\nTime Elapsed : " << clock () * 1.0 / CLOCKS_PER_SEC << endl;
	#endif

	ioi
}
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