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extended euclidean python

def extendEuclidean(a, b, s1=1, s2=0, t1=0, t2=1):
    
    if b:
        r=a%b
        return extendEuclidean(b, r, s2, s1-s2*(a//b), t2, t1-t2*(a//b))
    
    return a, s1, t1

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