Equation Game

Time Limit: 2 Seconds
Memory Limit: 65536 KB

When we were young, almost everyone liked playing such a game:

Give you an equation, but there is no digit, but capital letters instead. Every
letter stands for a different digit. Your task is to find what is each letter
mean?

It's Cx's favourite game! Angel wants to help her to solve every equation to make
her happy~~

We assume that there will be at most 10 letters in the equation. And "+",
"*", "=", "(", and ")" will appear in
the equation. Every result will not exceed 10^9.

**Input**

One line per testcase stands for the equation with letters. Length of the equation
will not exceed 100.

Proceed to the end of file.

**Output**

One line per testcase, format as showed in sample output.

If there are more than one solutions, print the "smaller" one in lexical
order (for example, "A=0 B=1" < "A=1 B=0", and we assume
that if one number is "ABC", and A=0 is illegal).

If there is no solution, print one line contains "Poor Angel".

**Sample Input**

DCBA*ABCD=ECCBAAD+(A+A-B)

A=A

A=B

**Sample Output**

4321*1234=332114+(1+1-2)

1=1

Poor Angel

Author:

**JIANG, Yanyan**
Source:

**JIANG, Yanyan's Contest #1**
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