Solve the equation in integers: (ax + b) / (cx + d) = 0

Input format

Enter 4 numbers: a, b, c, d; c and d are not equal to zero at the same time.

Output format

All solutions should be printed if their number is finite, “NO” (without quotes) if there are no solutions, and “INF” (without quotes) if there are infinitely many solutions.

Test 1

Input data:

1
1
2
2

Program output:

NO

Test 2

Input data:

2
-4
7
1

Program output:

2

Help me write Python code

Answer 1, authority 100%

a, b, c, d = int (input ()), int (input ()), int ( input ()), int (input ())
if a == 0 and b == 0:
  print ('INF')
elif a == 0 or b * c == a * d:
  print ('NO')
elif b% a == 0:
  x = -b // a
  print (x)
else:
  print ('NO')