Hard

Check if Point Is ReachablePython

Full explanation · Time O(log(min(a, b))) · Space O(1)

# Time:  O(log(min(a, b)))
# Space: O(1)

# number theory
class Solution(object):
    def isReachable(self, targetX, targetY):
        """
        :type targetX: int
        :type targetY: int
        :rtype: bool
        """
        def gcd(a, b):
            while b:
                a, b = b, a%b
            return a
    
        g = gcd(targetX, targetY)
        return g == (g&~(g-1))  # co-prime other than factor 2