Medium
There is an exam room with n
seats in a single row labeled from 0
to n - 1
.
When a student enters the room, they must sit in the seat that maximizes the distance to the closest person. If there are multiple such seats, they sit in the seat with the lowest number. If no one is in the room, then the student sits at seat number 0
.
Design a class that simulates the mentioned exam room.
Implement the ExamRoom
class:
ExamRoom(int n)
Initializes the object of the exam room with the number of the seats n
.int seat()
Returns the label of the seat at which the next student will set.void leave(int p)
Indicates that the student sitting at seat p
will leave the room. It is guaranteed that there will be a student sitting at seat p
.Example 1:
Input [“ExamRoom”, “seat”, “seat”, “seat”, “seat”, “leave”, “seat”] [[10], [], [], [], [], [4], []]
Output: [null, 0, 9, 4, 2, null, 5]
Explanation:
ExamRoom examRoom = new ExamRoom(10);
examRoom.seat(); // return 0, no one is in the room, then the student sits at seat number 0.
examRoom.seat(); // return 9, the student sits at the last seat number 9.
examRoom.seat(); // return 4, the student sits at the last seat number 4.
examRoom.seat(); // return 2, the student sits at the last seat number 2.
examRoom.leave(4);
examRoom.seat(); // return 5, the student sits at the last seat number 5.
Constraints:
1 <= n <= 109
p
.104
calls will be made to seat
and leave
.class ExamRoom() {
private class Node(var `val`: Int, map: MutableMap<Int?, Node>) {
var pre: Node? = null
var next: Node? = null
init {
map[`val`] = this
}
fun insert(left: Node?): Int {
val right = left!!.next
left.next = this
right!!.pre = this
next = right
pre = left
return `val`
}
fun delete() {
val left = pre
val right = next
left!!.next = right
right!!.pre = left
}
}
private val map: MutableMap<Int?, Node> = HashMap()
private val head = Node(-1, map)
private val tail = Node(-1, map)
private var n = 0
init {
head.next = tail
tail.pre = head
}
constructor(n: Int) : this() {
this.n = n
}
fun seat(): Int {
val right = n - 1 - tail.pre!!.`val`
val left = head.next!!.`val`
var max = 0
var maxAt = -1
var maxAtLeft: Node? = null
var cur = tail.pre
while (cur !== head && cur!!.pre !== head) {
val pre = cur!!.pre
val at = (cur.`val` + pre!!.`val`) / 2
val distance = at - pre.`val`
if (distance >= max) {
maxAtLeft = pre
max = distance
maxAt = at
}
cur = cur.pre
}
if (head.next === tail || left >= max && left >= right) {
return Node(0, map).insert(head)
}
return if (right > max) {
Node(n - 1, map).insert(tail.pre)
} else {
Node(maxAt, map).insert(maxAtLeft)
}
}
fun leave(p: Int) {
map[p]!!.delete()
map.remove(p)
}
}
/*
* Your ExamRoom object will be instantiated and called as such:
* var obj = ExamRoom(n)
* var param_1 = obj.seat()
* obj.leave(p)
*/