#include <bits/stdc++.h>

using namespace std;

void test_case(int tc){
    string s;
    cin >> s;

    for(size_t i = 0; i < (s.size() + 1) / 2; ++i){
        if(s[i] != s[i + (s.size() + 1) / 2]){
            cout << "NO\n";
            return;
        }
    }

    cout << "YES\n";
    return;
}



int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);

    int t;
    cin >> t;

    for(int tc = 1; tc <= t; ++tc){
        test_case(tc);
    }

    cout << flush;

    return 0;
}