[Swift]LeetCode732. 我的日程安排表 III | My Calendar III

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➤微信公众号：山青咏芝（shanqingyongzhi）
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➤原文地址： https://www.cnblogs.com/strengthen/p/10620179.html
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Implement a MyCalendarThree class to store your events. A new event can always be added.

Your class will have one method, book(int start, int end). Formally, this represents a booking on the half open interval [start, end), the range of real numbers x such that start <= x < end.

A K-booking happens when K events have some non-empty intersection (ie., there is some time that is common to all K events.)

For each call to the method MyCalendar.book, return an integer K representing the largest integer such that there exists a K-booking in the calendar.

Your class will be called like this: MyCalendarThree cal = new MyCalendarThree();MyCalendarThree.book(start, end)

Example 1:

MyCalendarThree();
MyCalendarThree.book(10, 20); // returns 1
MyCalendarThree.book(50, 60); // returns 1
MyCalendarThree.book(10, 40); // returns 2
MyCalendarThree.book(5, 15); // returns 3
MyCalendarThree.book(5, 10); // returns 3
MyCalendarThree.book(25, 55); // returns 3
Explanation: 
The first two events can be booked and are disjoint, so the maximum K-booking is a 1-booking.
The third event [10, 40) intersects the first event, and the maximum K-booking is a 2-booking.
The remaining events cause the maximum K-booking to be only a 3-booking.
Note that the last event locally causes a 2-booking, but the answer is still 3 because
eg. [10, 20), [10, 40), and [5, 15) are still triple booked.

Note:

The number of calls to MyCalendarThree.book per test case will be at most 400.
In calls to MyCalendarThree.book(start, end), start and end are integers in the range [0, 10^9].

实现一个 MyCalendar 类来存放你的日程安排，你可以一直添加新的日程安排。

MyCalendar 有一个 book(int start, int end)方法。它意味着在start到end时间内增加一个日程安排，注意，这里的时间是半开区间，即 [start, end), 实数 x 的范围为， start <= x < end。

当 K 个日程安排有一些时间上的交叉时（例如K个日程安排都在同一时间内），就会产生 K 次预订。

每次调用 MyCalendar.book方法时，返回一个整数 K ，表示最大的 K 次预订。

请按照以下步骤调用MyCalendar 类: MyCalendar cal = new MyCalendar();MyCalendar.book(start, end)

示例 1:

MyCalendarThree();
MyCalendarThree.book(10, 20); // returns 1
MyCalendarThree.book(50, 60); // returns 1
MyCalendarThree.book(10, 40); // returns 2
MyCalendarThree.book(5, 15); // returns 3
MyCalendarThree.book(5, 10); // returns 3
MyCalendarThree.book(25, 55); // returns 3
解释: 
前两个日程安排可以预订并且不相交，所以最大的K次预订是1。
第三个日程安排[10,40]与第一个日程安排相交，最高的K次预订为2。
其余的日程安排的最高K次预订仅为3。
请注意，最后一次日程安排可能会导致局部最高K次预订为2，但答案仍然是3，原因是从开始到最后，时间[10,20]，[10,40]和[5,15]仍然会导致3次预订。

说明:

每个测试用例，调用 MyCalendar.book 函数最多不超过 400次。
调用函数 MyCalendar.book(start, end)时， start 和 end 的取值范围为 [0, 10^9]。

524ms

 1 class MyCalendarThree {
 2     var s = [Int]()
 3     var e = [Int]()
 4     init() {
 5         
 6     }
 7     
 8     func book(_ start: Int, _ end: Int) -> Int {
 9         let startIndex = searchInsert(s, start)
10         s.insert(start, at: startIndex)
11         let endIndex = searchInsert(e, end)
12         e.insert(end, at: endIndex)
13         return helper(s, e)
14     }
15     
16     private func helper(_ s: [Int], _ e: [Int]) -> Int {
17         var res = 0 
18         var cur = 0
19         var i = 0, j = 0
20         while i < s.count && j < e.count {
21             if s[i] < e[j] {
22                 i += 1
23                 cur += 1
24             } else {
25                 j += 1
26                 cur -= 1
27             }
28             res = max(res, cur)
29         }
30         return res
31     }
32     
33     private func searchInsert(_ nums: [Int], _ target: Int) -> Int {
34         var low = 0
35         var high = nums.count-1
36         while low <= high {
37             let middle = (low + high) / 2
38             if nums[middle] == target {
39                 return middle
40             } else if nums[middle] > target {
41                 high = middle - 1
42             } else {
43                 low = middle + 1
44             }
45         }
46         return low
47     }
48 }

740ms

 1 private extension Array where Element: Comparable {
 2     private func binarySearchIndex(for element: Element) -> Int {
 3         var min = 0
 4         var max = count
 5         while min < max {
 6             let index = (min+max)/2
 7             let other = self[index]
 8             if other == element {
 9                 return index
10             } else if other < element {
11                 min = index+1
12             } else {
13                 max = index
14             }
15         }
16         return min
17     }
18     
19     mutating func binaryInsert(_ element: Element) {
20         insert(element, at: binarySearchIndex(for: element))
21     }
22 }
23 
24 class MyCalendarThree {
25     private var k = 0
26     private var starts = [Int]()
27     private var ends = [Int]()
28     
29     func book(_ start: Int, _ end: Int) -> Int {
30         starts.binaryInsert(start)
31         ends.binaryInsert(end)
32         var k = 0
33         var current = 0
34         var i = 0
35         var j = 0
36         let count = starts.count
37         while i < count && j < count {
38             if starts[i] < ends[j] {
39                 current += 1
40                 i += 1
41             } else {
42                 current -= 1
43                 j += 1
44             }
45             k = max(k, current)
46         }
47         return k
48     }
49 }

Runtime: 836 ms

Memory Usage: 21.6 MB

 1 class MyCalendarThree {
 2     var root:TreeNode? = nil
 3 
 4     init() {
 5         root = TreeNode(0, 1000000000)        
 6     }
 7     
 8     func book(_ start: Int, _ end: Int) -> Int {
 9         add(root, start, end, 1)
10         return getMax(root)      
11     }
12 
13     func add(_ node:TreeNode?,_ start:Int,_ end:Int,_ val:Int)
14     {
15         if node == nil || start >= node!.end || end < node!.start
16         {
17             return
18         }
19         if start <= node!.start && node!.end <= end
20         {
21             node!.booked += val
22             node!.saved += val
23             return
24         }
25         var mid:Int = node!.start + (node!.end - node!.start) / 2
26         if overlap(node!.start, mid, start, end)
27         {
28             if node?.left == nil
29             {
30                 node?.left = TreeNode(node!.start, mid)
31             }
32             add(node?.left, start, end, val)
33         }
34         if overlap(mid, node!.end, start, end)
35         {
36             if node?.right == nil
37             {
38                 node?.right = TreeNode(mid, node!.end)
39             }
40             add(node?.right, start, end, val)
41         }
42         node!.saved = node!.booked + max(getMax(node?.left), getMax(node?.right))        
43     }
44 
45     func getMax(_ node:TreeNode?) -> Int
46     {
47         if node == nil {return 0}
48         return node!.saved
49     }
50 
51     func overlap(_ s:Int,_ e:Int,_ l:Int,_ r:Int) -> Bool
52     {
53         if r <= s || l >= e
54         {
55             return false
56         }
57         return true
58     }
59 }
60 
61 class TreeNode
62 {
63     var start:Int
64     var end:Int
65     var left:TreeNode? = nil
66     var right:TreeNode? = nil
67     var booked:Int = 0
68     var saved:Int = 0
69     
70     init(_ s:Int,_ t:Int)
71     {
72         self.start = s
73         self.end = t
74     }    
75 }

844ms

 1 class MyCalendarThree {
 2     
 3     private var keys = [Int]()
 4     private var increments = [Int]()
 5     
 6     func book(_ start: Int, _ end: Int) -> Int {
 7         var startIndex = 0
 8         var endIndex = 0
 9         var startExistedBefore = false
10         var endExistedBefore = false
11         var startDone = false
12         for index in 0 ..< keys.count {
13             let existingKey = keys[index]
14             if startDone == false {
15                 if start == existingKey {
16                     startDone = true
17                     startExistedBefore = true
18                 } else if start > existingKey {
19                     startIndex += 1
20                 } else {
21                     startDone = true
22                 }
23             }
24             if end > existingKey {
25                 endIndex += 1
26             } else {
27                 if end == existingKey {
28                     endExistedBefore = true
29                 }
30                 break
31             }
32         }
33         if endIndex < keys.count {
34             if endExistedBefore {
35                 increments[endIndex] -= 1
36             } else {
37                 keys.insert(end, at: endIndex)
38                 increments.insert(-1, at: endIndex)
39             }
40         } else {
41             keys.append(end)
42             increments.append(-1)
43         }
44         if startExistedBefore {
45             increments[startIndex] += 1
46         } else {
47             keys.insert(start, at: startIndex)
48             increments.insert(1, at: startIndex)
49         }
50         var maxBookings = 0
51         var currentBookings = 0
52         for increment in increments {
53             currentBookings += increment
54             maxBookings = max(maxBookings, currentBookings)
55         }
56         return maxBookings
57     }
58 }

852ms

 1 private extension Array where Element: Comparable {
 2     private func binarySearchIndex(for element: Element) -> Int {
 3         var min = 0
 4         var max = count
 5         while min < max {
 6             let index = (min+max)/2
 7             let other = self[index]
 8             if other == element {
 9                 return index
10             } else if other < element {
11                 min = index+1
12             } else {
13                 max = index
14             }
15         }
16         return min
17     }
18     
19     mutating func binaryInsert(_ element: Element) {
20         insert(element, at: binarySearchIndex(for: element))
21     }
22 }
23 
24 class MyCalendarThree {
25     private var k = 0
26     private var points = [Point]()
27     
28     private struct Point: Comparable {
29         let value: Int
30         let isStart: Bool
31         
32         static func ==(lhs: Point, rhs: Point) -> Bool {
33             return lhs.value == rhs.value && lhs.isStart == rhs.isStart
34         }
35         
36         static func <(lhs: Point, rhs: Point) -> Bool {
37             return lhs.value < rhs.value || (lhs.value == rhs.value && !lhs.isStart && rhs.isStart)
38         }
39     }
40     
41     func book(_ start: Int, _ end: Int) -> Int {
42         points.binaryInsert(Point(value: start, isStart: true))
43         points.binaryInsert(Point(value: end, isStart: false))
44         var k = 0
45         var current = 0
46         for point in points {
47             current += (point.isStart ? 1 : -1)
48             k = max(k, current)
49         }
50         return k
51     }
52 }

1356ms

 1 extension Array {
 2     func insertionIndexOf(_ elem: Element, isOrderedBefore: (Element, Element) -> Bool) -> Int {
 3         var lo = 0
 4         var hi = self.count - 1
 5         while lo <= hi {
 6             let mid = (lo + hi)/2
 7             if isOrderedBefore(self[mid], elem) {
 8                 lo = mid + 1
 9             } else if isOrderedBefore(elem, self[mid]) {
10                 hi = mid - 1
11             } else {
12                 return mid 
13             }
14         }
15         return lo
16     }
17 }
18 
19 class MyCalendarThree {
20 
21     var books = [Int:Int]()
22     var sKeys = [Int]()
23     var unqKeys = [Int:Int]()
24     
25     func book(_ start: Int, _ end: Int) -> Int {
26       
27         books[start] = (books[start] ?? 0)+1
28         books[end] = (books[end] ?? 0)-1
29         insert(start)
30         insert(end)
31 
32         var maxInt=0, acc=0
33         sKeys.forEach { intPoint in
34             acc += books[intPoint] ?? 0
35             if acc>maxInt {maxInt = acc}
36         }
37         return maxInt
38     }
39     
40     func insert(_ element:Int) {
41         
42         guard unqKeys[element]==nil else {return}
43         
44         let newElement = element
45         // Or: myArray.indexOf(c, <)
46         let index = sKeys.insertionIndexOf(newElement) { $0 < $1 }
47         sKeys.insert(newElement, at: index)
48         unqKeys[newElement] = 1
49     }
50 }

1528ms

 1 class MyCalendarThree {
 2     private var k = 0
 3     private var ranges = [(start: Int, end: Int, k: Int)]()
 4     
 5     func book(_ start: Int, _ end: Int) -> Int {
 6         var newRanges = [(start: Int, end: Int, k: Int)]()
 7         var overlaps = [(start: Int, end: Int, k: Int)]()
 8         for range in ranges {
 9             if start >= range.end || range.start >= end {
10                 newRanges.append(range)
11             } else {
12                 if range.start < start {
13                     newRanges.append((range.start, start, range.k))
14                 }
15                 if end < range.end {
16                     newRanges.append((end, range.end, range.k))
17                 }
18                 let overlap = (start: max(start, range.start), end: min(end, range.end), k: range.k+1)
19                 newRanges.append(overlap)
20                 overlaps.append(overlap)
21                 k = max(k, overlap.k)
22             }
23         }
24         var start = start
25         for overlap in overlaps.sorted(by: { $0.start < $1.start }) {
26             if start < overlap.start {
27                 newRanges.append((start, overlap.start, 1))
28             }
29             start = overlap.end
30         }
31         if start < end {
32             newRanges.append((start, end, 1))
33             k = max(k, 1)
34         }
35         ranges = newRanges
36         return k
37     }
38 }

1804ms

 1 struct SortedArray: Collection {
 2 
 3     func index(after i: Int) -> Int {return elements.index(after: i)}
 4     var startIndex: Int {return elements.startIndex}
 5     var endIndex: Int {return elements.endIndex}
 6 
 7     private var elements = [Int]()
 8     private var uniqueIds = [Int:Int]()
 9     var count: Int {return elements.count}
10 
11     private func insertionIndexOf(_ element:Int, isOrderedBefore:(Int,Int)->Bool) -> Int {
12         var left=0
13         var right=elements.count-1
14         while left<=right {
15             let mid = (left+right)/2
16             if isOrderedBefore(elements[mid], element) {left = mid+1}
17             else if isOrderedBefore(element, elements[mid]) {right = mid-1}
18             else{return mid}    //ideally, will never execute as element doesn't exist yet
19         }
20         return left
21     }
22 
23     public subscript(i: Int) -> Int {
24         // guard i >= 0 && i < elements.count else {return nil}
25         return self.elements[i]
26     }
27 
28     mutating func insert(_ element:Int) {
29         guard uniqueIds[element]==nil else {return}
30         let index = insertionIndexOf(element) {$0<$1}
31         elements.insert(element, at: index)
32         uniqueIds[element] = 1
33     }
34 }
35 
36 class MyCalendarThree {
37 
38     var books = [Int:Int]()
39     var sKeys = SortedArray()
40     
41     func book(_ start: Int, _ end: Int) -> Int {
42       
43         books[start] = (books[start] ?? 0)+1
44         books[end] = (books[end] ?? 0)-1
45         sKeys.insert(start)
46         sKeys.insert(end)
47 
48         var maxInt=0, acc=0
49         for intPoint in sKeys {
50             // guard let intPoint=intPoint else{continue}
51             acc += books[intPoint] ?? 0
52             if acc>maxInt {maxInt = acc}
53         }
54         return maxInt
55     }
56 }

3376ms

 1 class MyCalendarThree {
 2     private var k = 0
 3     private var points = [(point: Int, isStart: Bool)]()
 4     
 5     func book(_ start: Int, _ end: Int) -> Int {
 6         points.append((start, true))
 7         points.append((end, false))
 8         points.sort(by: { $0.point == $1.point ? !$0.isStart : $0.point < $1.point })
 9         var k = 0
10         var current = 0
11         for (_, isStart) in points {
12             current += (isStart ? 1 : -1)
13             k = max(k, current)
14         }
15         return k
16     }
17 }

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原文地址：https://www.cnblogs.com/strengthen/p/10620179.html