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#include<bits/stdc++.h>
using namespace std;
unsigned long long calc[32];
void compute()
{
int i;
calc[0]=1;
for(i=1;i<=30;i++){
calc[i]=i*calc[i-1];
}
}
void solve(string s,int n)
{
vector<int>v;
int i,c[27]={0};
for(i=0;i<n;i++){
if(s[i]<=90)s[i]+=32;
c[s[i]-'a']++;
}
int ans,c1,c2,flag;
c1=c2=flag=ans=0;
for(i=0;i<27;i++){
if(c[i]%2==0){
ans+=(c[i]/2);
if((c[i]/2)>1)
v.push_back(c[i]/2);
}
else{
c2++;
}
if(c2>1)
{
cout<<"-1"<<endl;
return;
}
}
unsigned long long sol=calc[ans];
for(i=0;i<v.size();i++)
sol/=calc[v[i]];
cout<<sol<<endl;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
long int t;
compute();
long long ans;
cin>>t;
string s;
while(t--){
cin>>s;
solve(s,s.length());
}
return 0;
}
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