Hard
A Range Module is a module that tracks ranges of numbers. Design a data structure to track the ranges represented as half-open intervals and query about them.
A half-open interval [left, right)
denotes all the real numbers x
where left <= x < right
.
Implement the RangeModule
class:
RangeModule()
Initializes the object of the data structure.void addRange(int left, int right)
Adds the half-open interval [left, right)
, tracking every real number in that interval. Adding an interval that partially overlaps with currently tracked numbers should add any numbers in the interval [left, right)
that are not already tracked.boolean queryRange(int left, int right)
Returns true
if every real number in the interval [left, right)
is currently being tracked, and false
otherwise.void removeRange(int left, int right)
Stops tracking every real number currently being tracked in the half-open interval [left, right)
.Example 1:
Input
[“RangeModule”, “addRange”, “removeRange”, “queryRange”, “queryRange”, “queryRange”]
[[], [10, 20], [14, 16], [10, 14], [13, 15], [16, 17]]
Output: [null, null, null, true, false, true]
Explanation:
RangeModule rangeModule = new RangeModule();
rangeModule.addRange(10, 20);
rangeModule.removeRange(14, 16);
rangeModule.queryRange(10, 14); // return True,(Every number in [10, 14) is being tracked)
rangeModule.queryRange(13, 15); // return False,(Numbers like 14, 14.03, 14.17 in [13, 15) are not being tracked)
rangeModule.queryRange(16, 17); // return True, (The number 16 in [16, 17) is still being tracked, despite the remove operation)
Constraints:
1 <= left < right <= 109
104
calls will be made to addRange
, queryRange
, and removeRange
.@Suppress("NAME_SHADOWING")
class RangeModule {
private val head: Interval = Interval(0, 0)
fun addRange(left: Int, right: Int) {
var left = left
var right = right
var pos: Interval? = head
while (pos!!.next != null && pos.next!!.end < left) {
pos = pos.next
}
while (pos.next != null && pos.next!!.start <= right) {
left = pos.next!!.start.coerceAtMost(left)
right = pos.next!!.end.coerceAtLeast(right)
removeNext(pos)
}
insert(pos, Interval(left, right))
}
fun queryRange(left: Int, right: Int): Boolean {
var pos: Interval? = head
while (pos != null) {
if (left >= pos.start && right <= pos.end) {
return true
}
pos = pos.next
}
return false
}
fun removeRange(left: Int, right: Int) {
var pos: Interval? = head
while (pos!!.next != null && pos.next!!.end <= left) {
pos = pos.next
}
var prev = pos
var curr = pos.next
while (curr != null && curr.start < right) {
if (curr.start < left) {
insert(prev, Interval(curr.start, left))
curr.start = left
prev = prev!!.next
curr = prev!!.next
continue
}
if (right >= curr.end) {
removeNext(prev)
curr = prev!!.next
} else {
curr.start = right
curr = curr.next
}
}
}
private fun insert(curr: Interval?, next: Interval) {
next.next = curr!!.next
curr.next = next
}
private fun removeNext(curr: Interval?) {
val del = curr!!.next
if (del != null) {
curr.next = del.next
del.next = null
}
}
internal class Interval(var start: Int, var end: Int) {
var next: Interval? = null
}
}
/*
* Your RangeModule object will be instantiated and called as such:
* var obj = RangeModule()
* obj.addRange(left,right)
* var param_2 = obj.queryRange(left,right)
* obj.removeRange(left,right)
*/