Question: Write a python program that takes as input four integers (b,m,c,n) with gcd(m,n)=1 and computes an integer x with satisfying x b (mod m) and

Write a python program that takes as input four integers (b,m,c,n) with gcd(m,n)=1 and computes an integer x with Write a python program that takes as input four integers (b,m,c,n) with satisfying

x gcd(m,n)=1 and computes an integer x with satisfying x b (mod m) b (mod m) and x and x c (mod m) DONT USE BRUTE FORCE def egcd(a,b): """Find c (mod m)

DONT USE BRUTE FORCE

def egcd(a,b): """Find gcd(a,b) and x,y s.t ax+by=gcd""" if b==0: return a,1,0 x=1 g=a v=0 w=b while w!=0: x=v g=w v=x-(g//w)*v w=g%w x=x%(b//g) return g,x,(g-a*x)//b

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