UVa11542 Square
/*by SilverN*/
#include<iostream>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<cmath>
#define LL long long
using namespace std;
const int mxn=;
int read(){
int x=,f=;char ch=getchar();
while(ch<'' || ch>''){if(ch=='-')f=-;ch=getchar();}
while(ch>='' && ch<=''){x=x*+ch-'';ch=getchar();}
return x*f;
}
LL read1(){
LL x=,f=;char ch=getchar();
while(ch<'' || ch>''){if(ch=='-')f=-;ch=getchar();}
while(ch>='' && ch<=''){x=x*+ch-'';ch=getchar();}
return x*f;
}
int pri[mxn],cnt=;
bool vis[mxn];
void Pri(){
for(int i=;i<mxn;i++){
if(!vis[i])pri[++cnt]=i;
for(int j=;j<=cnt && pri[j]*i<mxn;j++){
vis[pri[j]*i]=;
if(i%pri[j]==)break;
}
}
return;
}
int T,n,m;
int a[][];
void solve(){
int i=,j=;
while(i<=m && j<n){
int p=i;
for(int k=i;k<=m;k++)
if(a[k][j]){p=k;break;}
if(a[p][j]){
if(p!=i){
for(int k=;k<=n;k++)
swap(a[i][k],a[p][k]);
}
for(int l=i+;l<=m;l++){
if(a[l][j]){
for(int c=i;c<=n;c++)
a[l][c]^=a[i][c];
}
}
i++;
}
j++;
}
LL ans=(1LL<<(n-i))-;
printf("%lld\n",ans);
return;
}
int main(){
int i,j;
Pri();
T=read();
LL x;
while(T--){
memset(a,,sizeof a);m=;
//
n=read();
for(i=;i<n;i++){
x=read1();
for(j=;i<=cnt && x>;j++){
if(x%pri[j]==){
m=max(m,j);//方程组数量
while(x%pri[j]==){
a[j-][i]^=;
x/=pri[j];
}
}
}
}
solve();
}
return ;
}
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