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package leetcode
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// 解法一 暴力解法 O(nk)
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func maxSlidingWindow1(a []int, k int) []int {
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res := make([]int, 0, k)
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n := len(a)
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if n == 0 {
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return []int{}
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}
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for i := 0; i <= n-k; i++ {
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max := a[i]
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for j := 1; j < k; j++ {
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if max < a[i+j] {
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max = a[i+j]
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}
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}
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res = append(res, max)
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}
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return res
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}
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// 解法二 双端队列 Deque
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func maxSlidingWindow(nums []int, k int) []int {
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if len(nums) == 0 || len(nums) < k {
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return make([]int, 0)
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}
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window := make([]int, 0, k) // store the index of nums
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result := make([]int, 0, len(nums)-k+1)
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for i, v := range nums { // if the left-most index is out of window, remove it
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if i >= k && window[0] <= i-k {
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window = window[1:len(window)]
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}
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for len(window) > 0 && nums[window[len(window)-1]] < v { // maintain window
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window = window[0 : len(window)-1]
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}
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window = append(window, i) // store the index of nums
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if i >= k-1 {
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result = append(result, nums[window[0]]) // the left-most is the index of max value in nums
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}
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}
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return result
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}
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question239 struct {
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para239
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ans239
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}
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// para 是参数
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// one 代表第一个参数
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type para239 struct {
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one []int
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k int
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}
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// ans 是答案
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// one 代表第一个答案
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type ans239 struct {
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one []int
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}
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func Test_Problem239(t *testing.T) {
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qs := []question239{
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question239{
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para239{[]int{1, 3, -1, -3, 5, 3, 6, 7}, 3},
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ans239{[]int{3, 3, 5, 5, 6, 7}},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 239------------------------\n")
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for _, q := range qs {
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_, p := q.ans239, q.para239
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fmt.Printf("【input】:%v 【output】:%v\n", p, maxSlidingWindow(p.one, p.k))
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}
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fmt.Printf("\n\n\n")
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}
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44
leetcode/0239.Sliding-Window-Maximum/README.md
Executable file
44
leetcode/0239.Sliding-Window-Maximum/README.md
Executable file
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# [239. Sliding Window Maximum](https://leetcode.com/problems/sliding-window-maximum/)
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## 题目
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Given an array *nums*, there is a sliding window of size *k* which is moving from the very left of the array to the very right. You can only see the *k* numbers in the window. Each time the sliding window moves right by one position. Return the max sliding window.
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**Example:**
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Input: nums = [1,3,-1,-3,5,3,6,7], and k = 3
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Output: [3,3,5,5,6,7]
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Explanation:
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Window position Max
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--------------- -----
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[1 3 -1] -3 5 3 6 7 3
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1 [3 -1 -3] 5 3 6 7 3
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1 3 [-1 -3 5] 3 6 7 5
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1 3 -1 [-3 5 3] 6 7 5
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1 3 -1 -3 [5 3 6] 7 6
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1 3 -1 -3 5 [3 6 7] 7
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**Note:**
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You may assume *k* is always valid, 1 ≤ k ≤ input array's size for non-empty array.
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**Follow up:**
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Could you solve it in linear time?
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## 题目大意
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给定一个数组 nums,有一个大小为 k 的滑动窗口从数组的最左侧移动到数组的最右侧。你只可以看到在滑动窗口 k 内的数字。滑动窗口每次只向右移动一位。返回滑动窗口最大值。
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## 解题思路
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- 给定一个数组和一个窗口为 K 的窗口,当窗口从数组的左边滑动到数组右边的时候,输出每次移动窗口以后,在窗口内的最大值。
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- 这道题最暴力的方法就是 2 层循环,时间复杂度 O(n * K)。
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- 另一种思路是用优先队列,每次窗口以后的时候都向优先队列里面新增一个节点,并删除一个节点。时间复杂度是 O(n * log n)
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- 最优的解法是用双端队列,队列的一边永远都存的是窗口的最大值,队列的另外一个边存的是比最大值小的值。队列中最大值左边的所有值都出队。在保证了双端队列的一边即是最大值以后,时间复杂度是 O(n),空间复杂度是 O(K)
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