human
Can you provide a code to solve Linear Congruences Ax = B ( mod N ) for values of x in range [ 0 , N and the other steps required given the following:
Solve Linear Congruences Ax = B ( mod N ) for values of x in range [ 0 , N | Function to stores the values of x and y and find the value of gcd ( a , b ).
Base Case.
Store the result of recursive call.
Update x and y using results of recursive call.
Function to give the distinct solutions of ax = b ( mod n ).
Function Call to find the value of d and u.
No solution exists.
Else , initialize the value of x0.
Pr all the answers.
Input.
Function Call"
How can the above be solved in Python?
assistant
#Here is code to solve Linear Congruences Ax = B ( mod N ) for values of x in range [ 0 , N and the other steps required.
 def ExtendedEuclidAlgo ( a , b ) :
	if a == 0 :
		return b , 0 , 1
	gcd , x1 , y1 = ExtendedEuclidAlgo ( b % a , a )
	x = y1 - ( b // a ) * x1
	y = x1
	return gcd , x , y
def linearCongruence ( A , B , N ) :
	A = A % N
	B = B % N
	u = 0
	v = 0
	d , u , v = ExtendedEuclidAlgo ( A , N )
	if ( B % d != 0 ) :
		print ( - 1 )
		return
	x0 = ( u * ( B // d ) ) % N
	if ( x0 < 0 ) :
		x0 += N
	for i in range ( d ) :
		print ( ( x0 + i * ( N // d ) ) % N , end = " ▁ " )
A = 15
B = 9
N = 18
linearCongruence ( A , B , N )