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<sup>th</sup> person they pass it to the n - 1<sup>th</sup> person, then to the n - 2<sup>th</sup> person and so on.

Given the two positive integers n and time, return the index of the person holding the pillow after time seconds.

LeetCode Problem - 2582

class Solution {
    public int passThePillow(int n, int time) {
        int idx = 1; // Starting index of the pillow
        int direction = 1; // Direction of movement (1 for forward, -1 for backward)

        // Iterate through each time step
        for(int i=1; i<=time; i++){
            idx += direction; // Move the pillow in the current direction

            // Check if the pillow reaches the end points (1 or n)
            if(idx == n || idx == 1){
                direction = -direction; // Change direction when reaching an end point
            }
        }
        return idx; // Return the final position of the pillow after 'time' steps
    }
}