{ "data": { "question": { "questionId": "1549", "questionFrontendId": "1438", "categoryTitle": "Algorithms", "boundTopicId": 228532, "title": "Longest Continuous Subarray With Absolute Diff Less Than or Equal to Limit", "titleSlug": "longest-continuous-subarray-with-absolute-diff-less-than-or-equal-to-limit", "content": "
Given an array of integers nums
and an integer limit
, return the size of the longest non-empty subarray such that the absolute difference between any two elements of this subarray is less than or equal to limit
.
\n
Example 1:
\n\n\nInput: nums = [8,2,4,7], limit = 4\nOutput: 2 \nExplanation: All subarrays are: \n[8] with maximum absolute diff |8-8| = 0 <= 4.\n[8,2] with maximum absolute diff |8-2| = 6 > 4. \n[8,2,4] with maximum absolute diff |8-2| = 6 > 4.\n[8,2,4,7] with maximum absolute diff |8-2| = 6 > 4.\n[2] with maximum absolute diff |2-2| = 0 <= 4.\n[2,4] with maximum absolute diff |2-4| = 2 <= 4.\n[2,4,7] with maximum absolute diff |2-7| = 5 > 4.\n[4] with maximum absolute diff |4-4| = 0 <= 4.\n[4,7] with maximum absolute diff |4-7| = 3 <= 4.\n[7] with maximum absolute diff |7-7| = 0 <= 4. \nTherefore, the size of the longest subarray is 2.\n\n\n
Example 2:
\n\n\nInput: nums = [10,1,2,4,7,2], limit = 5\nOutput: 4 \nExplanation: The subarray [2,4,7,2] is the longest since the maximum absolute diff is |2-7| = 5 <= 5.\n\n\n
Example 3:
\n\n\nInput: nums = [4,2,2,2,4,4,2,2], limit = 0\nOutput: 3\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 105
1 <= nums[i] <= 109
0 <= limit <= 109
给你一个整数数组 nums
,和一个表示限制的整数 limit
,请你返回最长连续子数组的长度,该子数组中的任意两个元素之间的绝对差必须小于或者等于 limit
。
如果不存在满足条件的子数组,则返回 0
。
\n\n
示例 1:
\n\n输入:nums = [8,2,4,7], limit = 4\n输出:2 \n解释:所有子数组如下:\n[8] 最大绝对差 |8-8| = 0 <= 4.\n[8,2] 最大绝对差 |8-2| = 6 > 4. \n[8,2,4] 最大绝对差 |8-2| = 6 > 4.\n[8,2,4,7] 最大绝对差 |8-2| = 6 > 4.\n[2] 最大绝对差 |2-2| = 0 <= 4.\n[2,4] 最大绝对差 |2-4| = 2 <= 4.\n[2,4,7] 最大绝对差 |2-7| = 5 > 4.\n[4] 最大绝对差 |4-4| = 0 <= 4.\n[4,7] 最大绝对差 |4-7| = 3 <= 4.\n[7] 最大绝对差 |7-7| = 0 <= 4. \n因此,满足题意的最长子数组的长度为 2 。\n\n\n
示例 2:
\n\n输入:nums = [10,1,2,4,7,2], limit = 5\n输出:4 \n解释:满足题意的最长子数组是 [2,4,7,2],其最大绝对差 |2-7| = 5 <= 5 。\n\n\n
示例 3:
\n\n输入:nums = [4,2,2,2,4,4,2,2], limit = 0\n输出:3\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 10^5
1 <= nums[i] <= 10^9
0 <= limit <= 10^9
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