1544 - 23 Out of 5 [01]   

Description

Your task is to write a program that can decide whether you can find an arithmetic expression consisting of five given numbers ai (1 ≤ i ≤ 5) that will yield the value 23.

For this problem we will only consider arithmetic expressions of the following from:

where :{1,2,3,4,5} -> {1,2,3,4,5} is a bijective function and {+,-,*} (1 ≤ i ≤ 4)

Input

The Input consists of 5-Tupels of positive Integers, each between 1 and 50.

Input is terminated by a line containing five zero's. This line should not be processed.

Output

For each 5-Tupel print "Possible" (without quotes) if their exists an arithmetic expression (as described above) that yields 23. Otherwise print "Impossible".

Sample Input  Download

Sample Output  Download

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