Medium
There is a special square room with mirrors on each of the four walls. Except for the southwest corner, there are receptors on each of the remaining corners, numbered 0
, 1
, and 2
.
The square room has walls of length p
and a laser ray from the southwest corner first meets the east wall at a distance q
from the 0th
receptor.
Given the two integers p
and q
, return the number of the receptor that the ray meets first.
The test cases are guaranteed so that the ray will meet a receptor eventually.
Example 1:
Input: p = 2, q = 1
Output: 2
Explanation: The ray meets receptor 2 the first time it gets reflected back to the left wall.
Example 2:
Input: p = 3, q = 1
Output: 1
Constraints:
1 <= q <= p <= 1000
@Suppress("NAME_SHADOWING")
class Solution {
fun mirrorReflection(p: Int, q: Int): Int {
var p = p
var q = q
while (p % 2 == 0 && q % 2 == 0) {
p /= 2
q /= 2
}
return if (p % 2 == 0) {
2
} else if (q % 2 == 0) {
0
} else {
1
}
}
}