Pass the Pillow
There are n people standing in a line labeled from 1 to n. The first person in the line is holding a pillow initially. Every second, the person holding the pillow passes it to the next person standing in the line. Once the pillow reaches the end of the line, the direction changes, and people continue passing the pillow in the opposite direction.
- For example, once the pillow reaches the
n^thperson they pass it to then - 1^thperson, then to then - 2^thperson and so on.
Given the two positive integers n and time, return the index of the person holding the pillow after time seconds.
Note: This question is the same as 3178: Find the Child Who Has the Ball After K Seconds.
Example 1
Input
n = 4, time = 5Output
2People pass the pillow as 1 -> 2 -> 3 -> 4 -> 3 -> 2, so after five seconds person 2 is holding it.
Example 2
Input
n = 3, time = 2Output
3People pass the pillow as 1 -> 2 -> 3, so after two seconds person 3 is holding it.
Constraints
- 2 <= n <= 1000
- 1 <= time <= 1000