题目链接:
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define re register
#define pb push_back
#define fi first
#define se second
const int N=2e6+10;
void read(int &a)
{
a=0;int d=1;char ch;
while(ch=getchar(),ch>'9'||ch<'0')
if(ch=='-')
d=-1;
a=ch^48;
while(ch=getchar(),ch>='0'&&ch<='9')
a=(a<<3)+(a<<1)+(ch^48);
a*=d;
}
int n,m;
int a[30],cnt,f[N];
map <int,int> vis;
vector <int> v[N];
void dfs1(int i,int sum,int now)
{
if(i>=m)
{
if(!vis.count(sum)) vis[sum]=++cnt;
v[vis[sum]].pb(now);
return;
}
dfs1(i+1,sum,now);
dfs1(i+1,sum+a[i],now|(1<<i));
dfs1(i+1,sum-a[i],now|(1<<i));
}
void dfs2(int i,int sum,int now)
{
if(i>=n)
{
if(vis.count(sum))
{
int x=vis[sum];
for(auto j:v[x]) f[j|now]=1;
}
return;
}
dfs2(i+1,sum,now);
dfs2(i+1,sum+a[i],now|(1<<i));
dfs2(i+1,sum-a[i],now|(1<<i));
}
int main()
{
read(n);m=n>>1;
for(re int i=0;i<n;i++) read(a[i]);
dfs1(0,0,0),dfs2(m,0,0);
int ans=0;
for(re int i=1;i<(1<<n);i++) ans+=f[i];
printf("%d",ans);
return 0;
}