Module: Extended Euclid's Algorithm


Problem

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Extended Euclid's Algorithm

Problem

Natural numbers are given \(a, b, c.\) If the equation is \(a \cdot x + b \cdot y = c\) has integer solutions, then print \(gcd(a,b)\), \(x\) and \(y\) (any solution). If there is no solution, then print the word Impossible.
 
Input data 
Natural numbers and do not exceed 10000 in absolute value.

Imprint 
Print the answer to the problem.
 
Examples
# Input Output
1 1 2 3 1 1 1
2 10 6 8 2 2 -2

time 1000 ms
memory 256 Mb
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