Given an array of integers nums
and an integer limit
, return the size of the longest continuous subarray such that the absolute difference between any two elements is less than or equal to limit
.
In case there is no subarray satisfying the given condition return 0.
Example 1:
Input: nums = [8,2,4,7], limit = 4 Output: 2 Explanation: All subarrays are: [8] with maximum absolute diff |8-8| = 0 <= 4. [8,2] with maximum absolute diff |8-2| = 6 > 4. [8,2,4] with maximum absolute diff |8-2| = 6 > 4. [8,2,4,7] with maximum absolute diff |8-2| = 6 > 4. [2] with maximum absolute diff |2-2| = 0 <= 4. [2,4] with maximum absolute diff |2-4| = 2 <= 4. [2,4,7] with maximum absolute diff |2-7| = 5 > 4. [4] with maximum absolute diff |4-4| = 0 <= 4. [4,7] with maximum absolute diff |4-7| = 3 <= 4. [7] with maximum absolute diff |7-7| = 0 <= 4. Therefore, the size of the longest subarray is 2.
Example 2:
Input: nums = [10,1,2,4,7,2], limit = 5 Output: 4 Explanation: The subarray [2,4,7,2] is the longest since the maximum absolute diff is |2-7| = 5 <= 5.
Example 3:
Input: nums = [4,2,2,2,4,4,2,2], limit = 0 Output: 3
Constraints:
1 <= nums.length <= 10^5
1 <= nums[i] <= 10^9
0 <= limit <= 10^9
题意:
给出一个数组,求连续子串的最大长度,所求的子串要求满足 |max_element - min_element| < limit
思路:
用两个双向队列来模拟,max_deque用来存储当前所在位置之前元素的最大值,min_deque用来存储当前所在位置之前所有元素的最小值。用两个指针leftPointer和rightPointer来寻找最长的subArray,通过对rightPointer向后迭代,更新max_deque 和 min_deque,同时通过shrink leftPointer来使subArray满足题目要求。
Code:
1 class Solution { 2 public: 3 int longestSubarray(vector<int>& nums, int limit) { 4 deque<int> max_deque, min_deque; 5 int left = 0, ans = 0; 6 for (int right = 0; right < nums.size(); ++right) { 7 while (!max_deque.empty() && max_deque.back() < nums[right]) 8 max_deque.pop_back(); 9 while (!min_deque.empty() && min_deque.back() > nums[right]) 10 min_deque.pop_back(); 11 max_deque.push_back(nums[right]); 12 min_deque.push_back(nums[right]); 13 while (max_deque.front() - min_deque.front() > limit) { 14 if (max_deque.front() == nums[left]) max_deque.pop_front(); 15 if (min_deque.front() == nums[left]) min_deque.pop_front(); 16 left++; 17 } 18 ans = max(ans, right - left + 1); 19 } 20 return ans; 21 } 22 };
参考: