Problem: Let's say string s has period k if s_i = s_{i + k} for all i from 1 to |s| - k (|s| means length of string s) and k is the minimum positive integer with this property.

Some examples of a period: for s="0101" the period is k=2, for s="0000" the period is k=1, for s="010" the period is k=2, for s="0011" the period is k=4.

You are given string t consisting only of 0's and 1's and you need to find such string s that:

  1. String s consists only of 0's and 1's; 
  2. The length of s doesn't exceed 2 ⋅ |t|; 
  3. String t is a subsequence of string s; 
  4. String s has smallest possible period among all strings that meet conditions 1—3. 



Let us recall that t is a subsequence of s if t can be derived from s by deleting zero or more elements (any) without changing the order of the remaining elements. For example, t="011" is a subsequence of s="10101".

Input

The first line contains single integer T (1 ≤ T ≤ 100) — the number of test cases.

Next T lines contain test cases — one per line. Each line contains string t (1 ≤ |t| ≤ 100) consisting only of 0's and 1's.

Output

Print one string for each test case — string s you needed to find. If there are multiple solutions print any one of them.

Example

Input


4
00
01
111
110


Output


00
01
11111
1010

Note

In the first and second test cases, s = t since it's already one of the optimal solutions. Answers have periods equal to 1 and 2, respectively.

In the third test case, there are shorter optimal solutions, but it's okay since we don't need to minimize the string s. String s has period equal to 1.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
void _r(const int& x) { scanf("%d", &x); }
void _r(const long long& x) { scanf("%I64d", &x); }
void _r(const char* x) { scanf("%s", x); }
void R() {}
template <class T, class... U>
void R(const T& head, const U&... tail) {
  _r(head);
  R(tail...);
}
void _w(const char x) { putchar(x); }
void _w(const char* x) { printf("%s", x); }
void _w(const int x) { printf("%d", x); }
void _w(const long long x) { printf("%I64d", x); }
void _w(const double x) { printf("%.6f", x); }
void W() {}
template <class T, class... U>
void W(const T& head, const U&... tail) {
  _w(head);
  putchar(sizeof...(tail) ? ' ' : '\n');
  W(tail...);
}
const long long mod = 1e9 + 7;
long long fp1(long long a, long long b) {
  long long ans = 1;
  while (b) {
    if (b & 1) ans *= a;
    b >>= 1;
    a *= a;
  }
  return ans;
}
long long fp2(long long a, long long b) {
  long long ans = 1;
  while (b) {
    if (b & 1) ans = ans * a % mod;
    b >>= 1;
    a = a * a % mod;
  }
  return ans;
}
long long Read() {
  long long res = 0, flag = 1;
  char ch = getchar();
  while (ch < '0' || ch > '9') {
    if (ch == '-') flag = -1;
    ch = getchar();
  }
  while (ch >= '0' && ch <= '9') {
    res = res * 10 + ch - '0';
    ch = getchar();
  }
  return res * flag;
}
const int N = 2e5 + 5;
char s[N];
int main() {
  int __T;
  scanf("%d", &__T);
  for (int ica = (1); ica <= (__T); ica++) {
    R(s);
    int c[2];
    c[0] = c[1] = 0;
    int len = strlen(s);
    for (int i = (0); i < (len); i++) {
      c[s[i] - '0']++;
    }
    if (c[0] == len || c[1] == len)
      W(s);
    else {
      for (int i = (0); i < (len); i++) {
        printf("01");
      }
      W("");
    }
  }
  return 0;
}