#include<cstdio>
#include<algorithm>
#define N 66
using namespace std;
int n,a[N],maxs,sum,nexts[N];
bool vis[N];
bool cmp(int i,int j){
	return i>j;
}
bool DFS(int len,int now_len,int k,int last){
	if(k*len==sum){
		return true;
	}
	for(int i=last+1;i<=n;i++){
		if(!vis[i]){
			if(a[i]+now_len==len){
				vis[i]=true;
				if(DFS(len,0,k+1,0)){
					return true;
				}
				vis[i]=false;
				return false;
			}if(a[i]+now_len<len){
				vis[i]=true;
				if(DFS(len,now_len+a[i],k,i)){
					return true;
				}
				vis[i]=false;
				if(!now_len){
					return false;
				}
			}	
			i=nexts[i];
		}
	}
	return false;
} 
int main(){
	scanf("%d",&n);
	for(int i=1;i<=n;i++){
		scanf("%d",a+i);
		maxs=max(maxs,a[i]);
		sum+=a[i];
	}
	sort(a+1,a+n+1,cmp);
	nexts[n]=n;
	for(int i=n-1;i>=1;i--){
		if(a[i]==a[i+1]){
			nexts[i]=nexts[i+1];
		}
		else{
			nexts[i]=i;
		}
	}
	for(int ans=maxs;2*ans<=sum;ans++){
		if(!(sum%ans)&&DFS(ans,0,0,0)){
			printf("%d",ans); 
			return 0;
		}
	}
	printf("%d",sum);
	return 0;
}

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Information

ID
345
Time
1000ms
Memory
256MiB
Difficulty
9
Tags
# Submissions
268
Accepted
12
Uploaded By