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★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★ Given a sequence of n integers a1, a2, ..., an, a 132 pattern is a subsequence ai, aj, ak such that i < j < k and ai < ak < aj. Design an algorithm that takes a list of n numbers as input and checks whether there is a 132 pattern in the list. Note: n will be less than 15,000. Example 1: Input: [1, 2, 3, 4] Output: False Explanation: There is no 132 pattern in the sequence. Example 2: Input: [3, 1, 4, 2] Output: True Explanation: There is a 132 pattern in the sequence: [1, 4, 2]. Example 3: Input: [-1, 3, 2, 0] Output: True Explanation: There are three 132 patterns in the sequence: [-1, 3, 2], [-1, 3, 0] and [-1, 2, 0]. 给定一个整数序列:a1, a2, ..., an,一个132模式的子序列 ai, aj, ak 被定义为:当 i < j < k时,ai < ak < aj。设计一个算法,当给定有 n 个数字的序列时,验证这个序列中是否含有132模式的子序列。 注意:n 的值小于15000。 示例1: 输入: [1, 2, 3, 4] 输出: False 解释: 序列中不存在132模式的子序列。 示例 2: 输入: [3, 1, 4, 2] 输出: True 解释: 序列中有 1 个132模式的子序列: [1, 4, 2]. 示例 3: 输入: [-1, 3, 2, 0] 输出: True 解释: 序列中有 3 个132模式的的子序列: [-1, 3, 2], [-1, 3, 0] 和 [-1, 2, 0]. 164ms 1 struct Stack<T> { 2 var items = [T]() 3 mutating func push(item: T) { 4 items.append(item) 5 } 6 mutating func pop() -> T { 7 return items.removeLast() 8 } 9 func top() -> T { 10 return items.last! 11 } 12 func empty() -> Bool { 13 return items.count == 0 14 } 15 } 16 17 class Solution { 18 func find132pattern(_ nums: [Int]) -> Bool { 19 var third = Int.min 20 var s = Stack<Int>() 21 for i in stride(from: nums.count - 1, through: 0, by: -1) { 22 if nums[i] < third { 23 return true 24 }else { 25 while !s.empty() && (nums[i] > s.top()) { 26 third = s.top() 27 _ = s.pop() 28 } 29 s.push(item: nums[i]) 30 } 31 } 32 return false 33 } 34 } 324ms 1 class Solution { 2 func find132pattern(_ nums: [Int]) -> Bool { 3 var hanoi = Array<Int>.init(); 4 var medNum = Int.min 5 for index in stride(from: nums.count-1, through: 0, by: -1) { 6 if nums[index] < medNum { 7 return true 8 } else { 9 while (hanoi.count > 0 && hanoi.last! < nums[index]) { 10 medNum = hanoi.last! 11 hanoi.removeLast() 12 } 13 } 14 hanoi.append(nums[index]) 15 } 16 return false 17 } 18 } 1348ms 1 class Solution { 2 func find132pattern(_ nums: [Int]) -> Bool { 3 if nums.count < 3{ 4 return false 5 } 6 var newNums = [nums[0]] 7 for i in 1..<nums.count { 8 if nums[i] != nums[i-1]{ 9 newNums.append(nums[i]); 10 } 11 } 12 if newNums.count < 3{ 13 return false 14 } 15 var minArr = [newNums[0]] 16 var min = newNums[0] 17 for i in newNums{ 18 if i < min{ 19 min = i 20 } 21 minArr.append(min) 22 } 23 for i in 1..<newNums.count-1{ 24 let a = minArr[i] 25 let b = newNums[i] 26 if a >= b{ 27 continue 28 } 29 for j in (i+1)..<newNums.count{ 30 let c = newNums[j] 31 if c > a && c < b { 32 return true 33 } 34 } 35 } 36 return false 37 } 38 } 4388ms 1 class Solution { 2 func find132pattern(_ nums: [Int]) -> Bool { 3 if nums.count < 3 { 4 return false 5 } 6 var i = nums.count 7 var min = nums[i - 1] 8 while (i > 0) { 9 min = nums[i - 1] 10 var j = nums.count 11 var max = min 12 while (j > i) { 13 let t = nums[j - 1] 14 if t > min { 15 if max > min { 16 if t > max { 17 return true 18 }else { 19 max = t 20 } 21 }else { 22 max = t 23 } 24 } 25 j = j - 1 26 } 27 i = i - 1 28 } 29 return false 30 } 31 } 6656ms 1 class Solution { 2 func find132pattern(_ nums: [Int]) -> Bool { 3 var n:Int = nums.count 4 var i:Int = 0 5 var j:Int = 0 6 var k:Int = 0 7 while (i < n) { 8 while (i < n - 1 && nums[i] >= nums[i + 1]) 9 { 10 i += 1 11 } 12 j = i + 1; 13 while (j < n - 1 && nums[j] <= nums[j + 1]) 14 { 15 j += 1 16 } 17 k = j + 1 18 while (k < n) { 19 if nums[k] > nums[i] && nums[k] < nums[j] 20 { 21 return true 22 } 23 k += 1 24 } 25 i = j + 1 26 } 27 return false 28 } 29 }
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