{ "data": { "question": { "questionId": "3450", "questionFrontendId": "3178", "categoryTitle": "Algorithms", "boundTopicId": 2804408, "title": "Find the Child Who Has the Ball After K Seconds", "titleSlug": "find-the-child-who-has-the-ball-after-k-seconds", "content": "
You are given two positive integers n
and k
. There are n
children numbered from 0
to n - 1
standing in a queue in order from left to right.
Initially, child 0 holds a ball and the direction of passing the ball is towards the right direction. After each second, the child holding the ball passes it to the child next to them. Once the ball reaches either end of the line, i.e. child 0 or child n - 1
, the direction of passing is reversed.
Return the number of the child who receives the ball after k
seconds.
\n
Example 1:
\n\nInput: n = 3, k = 5
\n\nOutput: 1
\n\nExplanation:
\n\nTime elapsed | \n\t\t\tChildren | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2] | \n\t\t
1 | \n\t\t\t[0, 1, 2] | \n\t\t
2 | \n\t\t\t[0, 1, 2] | \n\t\t
3 | \n\t\t\t[0, 1, 2] | \n\t\t
4 | \n\t\t\t[0, 1, 2] | \n\t\t
5 | \n\t\t\t[0, 1, 2] | \n\t\t
Example 2:
\n\nInput: n = 5, k = 6
\n\nOutput: 2
\n\nExplanation:
\n\nTime elapsed | \n\t\t\tChildren | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
1 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
2 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
3 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
4 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
5 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
6 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
Example 3:
\n\nInput: n = 4, k = 2
\n\nOutput: 2
\n\nExplanation:
\n\nTime elapsed | \n\t\t\tChildren | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
1 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
2 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
\n
Constraints:
\n\n2 <= n <= 50
1 <= k <= 50
给你两个 正整数 n
和 k
。有 n
个编号从 0
到 n - 1
的孩子按顺序从左到右站成一队。
最初,编号为 0 的孩子拿着一个球,并且向右传球。每过一秒,拿着球的孩子就会将球传给他旁边的孩子。一旦球到达队列的 任一端 ,即编号为 0 的孩子或编号为 n - 1
的孩子处,传球方向就会 反转 。
返回 k
秒后接到球的孩子的编号。
\n\n
示例 1:
\n\n输入:n = 3, k = 5
\n\n输出:1
\n\n解释:
\n\n经过的时间 | \n\t\t\t孩子队列 | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2] | \n\t\t
1 | \n\t\t\t[0, 1, 2] | \n\t\t
2 | \n\t\t\t[0, 1, 2] | \n\t\t
3 | \n\t\t\t[0, 1, 2] | \n\t\t
4 | \n\t\t\t[0, 1, 2] | \n\t\t
5 | \n\t\t\t[0, 1, 2] | \n\t\t
示例 2:
\n\n输入:n = 5, k = 6
\n\n输出:2
\n\n解释:
\n\n经过的时间 | \n\t\t\t孩子队列 | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
1 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
2 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
3 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
4 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
5 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
6 | \n\t\t\t[0, 1, 2, 3, 4] | \n\t\t
示例 3:
\n\n输入:n = 4, k = 2
\n\n输出:2
\n\n解释:
\n\n经过的时间 | \n\t\t\t孩子队列 | \n\t\t
---|---|
0 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
1 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
2 | \n\t\t\t[0, 1, 2, 3] | \n\t\t
\n\n
提示:
\n\n2 <= n <= 50
1 <= k <= 50
2 * (n - 1)
seconds and everything is the same as time 0.",
"So the answer for k
is the same as the answer for k % (2 * (n - 1))
."
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