## Problem 5: Letter Arithmetic

A popular form of pencil game is to use letters to represent digits in a mathematical statement. An example is

```    SEND
+MORE
-----
MONEY```

which represents

```    9567
+1085
-----
10652```

Your task is to read in sets of three “words” and assign unique digits to the letters in such a way as to make the sum of the first two words equal to the third word.

### Input

The input begins with a line containing a positive integer n which is the number of test data sets. Each data set consists of three lines, each of which contains one word with the third word being the sum of the first two. The words will contain no more than 20 upper case letters.

### Output

The output is to consist of n sets of lines each containing the numeric representation of each word in the corresponding test data set. There will be exactly one correct solution for each data set. Leave an empty line after the output for each data set.

```2
SEND
MORE
MONEY
MEND
COPE
CONEY```

### Sample Output

```9567
1085
10652
9567
1085
10652```

Point Value: 15
Time Limit: 2.00s
Memory Limit: 16M
Added: Sep 29, 2008

Problem Types: [Show]

Languages Allowed:
C++03, PAS, C, HASK, ASM, RUBY, PYTH2, JAVA, PHP, SCM, CAML, PERL, C#, C++11, PYTH3