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Algorithm

239. Sliding Window Maximum

Description

You are given an array of integers 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.

Example 1:

Input: nums = [1,3,-1,-3,5,3,6,7], k = 3
Output: [3,3,5,5,6,7]
Explanation:
Window position                Max
---------------               -----
[1  3  -1] -3  5  3  6  7       3
 1 [3  -1  -3] 5  3  6  7       3
 1  3 [-1  -3  5] 3  6  7       5
 1  3  -1 [-3  5  3] 6  7       5
 1  3  -1  -3 [5  3  6] 7       6
 1  3  -1  -3  5 [3  6  7]      7

Example 2:

Input: nums = [1], k = 1
Output: [1]

Example 3:

Input: nums = [1,-1], k = 1
Output: [1,-1]

Example 4:

Input: nums = [9,11], k = 2
Output: [11]

Example 5:

Input: nums = [4,-2], k = 2
Output: [4]

Constraints:

  • 1 <= nums.length <= 105
  • -104 <= nums[i] <= 104
  • 1 <= k <= nums.length

Solution

class Solution {
    public int[] maxSlidingWindow(int[] nums, int k) {
      if(nums == null || nums.length < 2) return nums;
        // 双向队列 保存当前窗口最大值的数组位置 保证队列中数组位置的数值按从大到小排序
        LinkedList<Integer> queue = new LinkedList();
        // 结果数组
        int[] result = new int[nums.length-k+1];
        // 遍历nums数组
        for(int i = 0;i < nums.length;i++){
            // 保证从大到小 如果前面数小则需要依次弹出,直至满足要求
            while(!queue.isEmpty() && nums[queue.peekLast()] <= nums[i]){
                queue.pollLast();
            }
            // 添加当前值对应的数组下标
            queue.addLast(i);
            // 判断当前队列中队首的值是否有效
            if(queue.peek() <= i-k){
                queue.poll();   
            }
            // 当窗口长度为k时 保存当前窗口中最大值
            if(i+1 >= k){
                result[i+1-k] = nums[queue.peek()];
            }
        }
        return result;
    }
}

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