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ZOJ Problem Set - 3312
8*8

Time Limit: 2 Seconds      Memory Limit: 32768 KB      Special Judge

It is 8th anniversary birthday of ZOJ. 8 is a lucky number for Chinese. So today let's use 8 8's to express number with parentheses and fundamental operations of arithmetic.

Input

This problem contains up to 8888 test cases. Each test case contains an integer whose absolute value do not exceed 108 in one line.

Output

For each case, output an expression whose value is equal to the given number. The length of the expression must not exceed 30. The expression must contain exactly 8 8's. Parenthese and fundamental operations can be added if neccesary. Any expression that can get the result is accepted. If it is impossible to do this, output "Impossible" in one line.

Sample Input

```1111111
-88888888
1144
```

Sample Output

```8888888/8
Impossible
8888-88*88
```

Author: GUAN, Yao
Source: ZOJ 8th Anniversary Contest
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