import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {
public static void main(String[] args) throws IOException {
InputStreamReader isr = new InputStreamReader(System.in);
BufferedReader br = new BufferedReader(isr);
StringBuffer sb = new StringBuffer("");
String m = "";
int cases = Integer.parseInt(br.readLine());
for (int i = 0; i < cases; i++) {
m = br.readLine();
if (is_Psquare(m.length())) {
int root=(int) Math.sqrt(m.length());
char[][] arr=new char[root][root];
for(int j=0;j<root;j++){
for(int z=0;z<root;z++){
arr[j][z]=m.charAt(j*root+z);
}
}
for(int j=0;j<root;j++){
for(int z=0;z<root;z++){
sb.append(arr[z][j]);
}
}
}else{
sb.append("INVALID");
}
sb.append("\n");
}
System.out.print(sb);
}
static boolean is_Psquare(int x) {
int root = (int) (Math.floor(Math.sqrt(x) + 0.5));
return root * root == x;
}
}
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