number-line-jumps

#!/bin/python3

import math
import os
import random
import re
import sys

#
# Complete the 'kangaroo' function below.
#
# The function is expected to return a STRING.
# The function accepts following parameters:
#  1. INTEGER x1
#  2. INTEGER v1
#  3. INTEGER x2
#  4. INTEGER v2
#

def kangaroo(x1, v1, x2, v2):
    
    if (x1 > x2 and v1 > v2) or (x2 > x1 and v2 > v1) or (x1 > x2 and v1 == v2) or (x2 > x1 and v1 == v2):
        return 'NO'
    elif x1 > x2 and v1 > v2:
        if (x1-x2)%(v1-v2) == 0:
            return 'YES'
        else:
            return 'NO'
    elif x1 > x2 and v1 < v2:
        if (x1-x2)%(v2-v1) == 0:
            return 'YES'
        else:
            return 'NO'
    elif x1 < x2 and v1 > v2:
        if (x2-x1)%(v1-v2) == 0:
            return 'YES'
        else:
            return 'NO'
    elif x1 < x2 and v1 < v2:
        if (x2-x1)%(v2-v1) == 0:
            return 'YES'
        else:
            return 'NO'            


if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    first_multiple_input = input().rstrip().split()

    x1 = int(first_multiple_input[0])

    v1 = int(first_multiple_input[1])

    x2 = int(first_multiple_input[2])

    v2 = int(first_multiple_input[3])

    result = kangaroo(x1, v1, x2, v2)

    fptr.write(result + '\n')

    fptr.close()