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 PYTHON3):

Solution:
"""%&&&&&&&&&&%#%##((/,...,////....//....,*/((//,   ,,  .  ****,...,,. ..,...... .  . .................
@@@&@@&&&&&%###(((/*...*****...,//,....,//(/*/,   /,,.. .**/*,/(..   .,,...........  ............ .,
@@@@@@@@@&&%%%####((*....    ....**,   .,,*/*,,   .,**  .***/*..    .. ,...... .  ....   ..........,
@@@@@@&&@&&%%%%%###(/,....*///....,/,.    ,,*,.   ,,***  ,**///...  .........  . .  .   ...... ....,
@@@@@@&&&&&%%%%%%%%#((...,*/***.  .***/...      ./*/***,  ,,*/// ..   ...... .   ..  .... ..........
@@@@@@@&&&&%%%%%&%###/(.. ,,.    ,**/**//*/***,,/**//*/**(*,***/*...   ......   ..   .   . . ... ...
&&%%%###((/#%%%&%%##((/,. . ..,/////,*/****,******,*,,                     .. .. ...      .   . ....
@&%%###((//#%#####%#(((#,/((/*//**/**,.       .,,,/(##%%%#%%%(##(#(//(((((/(//*......   .   ..,...,.
@&%%#((((//#####((((/////*//,.   ..,,/%&@@@@@@@@@@@@@@@@@@@@@@@@@&%%##((((((//......     ...,.......
&&%%##((////((#((//*,.    .,/%%&@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@%((/*. . ...,,... ......   .*,..
&%%%##(/((/*///,...,*#%%%&@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@/.  .  ,.   .     ..,,..       ..
@&&%%##(///*, ,/#%%&&@@@@@@@@@@@@@@@@@@&&&@@@@@@@@@@@@@@@@@@&&@@@@@&..   ....         . .         ..
@@&%####((,..*#&&@@@@@@@@@@@@@@&&@@@@@@#%&@@@@@@@@@@@&%%%%&&&&&@@@@&*.  .......     ..      .  .  ..
@@@@%##(((///%@@@@@@@@@&&@@@@@&&&&&@@@&#%&@@@@@@@@@@&(//*/(/(##%&@@@%#*     .      ....    .      ..
@@@@@%#(#(/////%@@@@@@@&&&%&%&@&%%&%%&&@%@&&&&%%%&&%**/%@@&#%&&##%@&#(/            ..,..     ..... .
@@@@@@&%((((//***&&&@@@@@&&&&&%&%&%#&&%%@&&%#**,*////(%*   ..,,,*/#@#(/           . .      .. ..,...
@@@@@@@@%#(/*/*,..(&%@@@@@@&#%%&@%#%%%&&%(,.    .,,,.,,.,/(%%(*///,*%(*          ...       .........
@@@@@@@@@%#/*//*,,*#&@@&&@@@@@@@@&&&&&#*..      ..,,*(.& %* .&%(*,*,//.         .,   .   ..,, . ,...
@@@@@@@@@@%#((/****//#@&/##(*,......,**,,,.    ,/(**/   ## **/**..,,***        .... .          .    
@&@@@@@@@@@&#(//**,,(*/%/,,.,,(/&@**%.*/***,.  .,,,,.,,***//*......,,            .,.       ...      
@@@@@@@@@@@@@##((/,,..,,&*,.**((  ,# *..,....    .,,.          ...,,,        ..         . .....     
@@@@@@@@@@@@@@%#(///*,,..%,....,**,,,**.  ....    .,,.          ..,**        *  .       . .  .    ..
@@@@@@@@@@@@@@@&#((//**,. ..              ....     .,,.        ..,***..     ,     .     ...,..,....,
@@@@@@@@@@@@@@@@&##((/***,,,,..            ,..         ..       ,,//..,,    .      .      .., .. ...
@@@@@@@@@@@@@@@&@@&@@&&&&&&&&*.                       ,(.     .,,*//*,  .*,         ..... ..   .....
@@@@@@@@@@@@@@@@&&&&&&&&%&&&&%#.            ,,,.   .((*.. .,***.,,/.  */,  .**. . .. ......  .   ...
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@&(,...         ..,**,,....*#*,..,*/.(%%...(/.. //*     .  ..   ..*,..
@@@@@@@@@@@@@@@@@@&@&%%#%%/,,(***(#*,....*,..   .,,,**   .* .,**&/(  .(*,  .,* ./..   .       ..,  .
&@@@@@@@@@@@@@@@&&&&&&%%.,.,**,..,******,,.   ...  ...,**,...**  %(#/..  ((*. /**...           ..  .
/%@@@@@@@@@@@@@&&&&&&( ..*(*/**/ .,**,...,/,..  ..,,,..    .*#..  *#  (%#. .**  ,.,, /.  .. . .. ...
,**&@@@@@@@@%&@&&@&*/./,    ./(//(/ ..... . ,**,. .  ..,,*((/(,..,(%/(/  (#/. */,.,. .       . . ...
.,*/(&@@@@&&&#(/  /(/*/#%%&(  .,*////(,...,..,,**//(((////,,*#,,*#%#,. ((* .((* ./..*..      ...,   
...,,/#@@&/**. .//. .%*  ,*(#%%#,..((/*(/#/,,,,,,**/(((//,,,/(*#%#(,*,*  ,(, .(#. . ..  ..  ..  ....
(,...,,,%,,*(#%%%%%#/,**//( .(*(##&%*  */(((((###/**//((/**(%%%%%.*,. . ,, ./,.,(* ,. .  . .,...    
,/*. ., ....,.....,/%#/(((.      */(*/%%,..../((##%#%%&&&%%%(%*(/,   *(...** ../%(  .. ..      ,  .,
"""

t = int(input())

for iff in range(t):
    
    s = input()
    
    if(s.count('0') == 0 or s.count('1') == 0):
        print(s)
        continue
    
    s = "01"*len(s)
    print(s)