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Cornelia Street

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 279    Accepted Submission(s): 105


Problem Description
“We bless the rain on Cornelia Street, memorize the creaks in the floor.”

Creak,creak,creak...The drum beats regularly.To keep the number of syllables in harmony, one sentence in chorus is as long as one in verse. However, drumbeats in the chorus is much stronger.

Jessica wants to memorize the music, piano and drumbeat. She records the music and encodes it into a string. So, the recorded string is so strange.

Let A be the pattern of verse and B be the pattern of chorus. So A $\neq$ B and |A| = |B|. The recorded string S is in the pattern of AAA$\cdots$A BB$\cdots$B AAAAA$\cdots$Aa. Formally, it is formed as n times repeat of A, m times repeat of B, k times repeat of A, and the broken piece a at the end is one prefix of A. And note that n,m,k > 0,|a|≥ 0.

Now Jessica wants to know the pattern of A and B. Can you help her?
 

Input
The first line contains a number T (1 ≤ T ≤ 10) denoting the count of testcases.

For each testcase,one line containing a string S (7 ≤|S|≤ $8\times 10^5$).Note that S consists of only lowercase letters and uppercase letters.

It is guaranteed that $\sum$|S| ≤ $4.5\times 10^6$. The patterns in all testcases are generated randomly, but the character sets are different. There are 30% testcases generated in full character set, and the rest 70% are generated in large number of single character and small number of other characters.
 

Output
For each testcase,output one line containing string A and B respectively,separated by one space.If there are multiple answers, choose the shortest one.
 

Sample Input
3 aaaaaaaaaabaabaaaaaa ABABABABZXCVZXCVABABABA abcababcacabcacabcababc
 

Sample Output
aaa aba ABAB ZXCV abcab abcac
 

Source
 

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