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1 . Complete the Python script EuclideanAlgoShell.py that will implement the Euclidean Al - gorithm. Use this program in order to compute gcd ( a
Complete the Python script EuclideanAlgoShell.py that will implement the Euclidean Algorithm. Use this program in order to compute gcda b where a and b
def euclidgcdab:
while b:
#fill in Python code here
return a
a
b
geuclidgcdab
printg
Complete the Python script ExtEuclideanAlgoShell.py that will implement the Extended Euclidean Algorithm.
def exteuclidgcdab:
#Initialize variables
x
x
y
y
#loop to iteratively converge on the solution
while b:
#fill in code here to complete this script
#reassign values
ab
br
xx
xx
yy
yy
#print values at each iteration
printqrxyabxxyy
#set final answer and pass back to main by reference
gcda
xx
yy
return xygcd
a
b
xygcdexteuclidgcdab
printxygcd
Verify your code by
a Running the Extended Euclidean Algorithm example provided in the lecture slides.
b Determining x y and gcda b such that gcda b axby where a and b
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