{ "data": { "question": { "questionId": "1633", "questionFrontendId": "1526", "categoryTitle": "Algorithms", "boundTopicId": 343733, "title": "Minimum Number of Increments on Subarrays to Form a Target Array", "titleSlug": "minimum-number-of-increments-on-subarrays-to-form-a-target-array", "content": "
You are given an integer array target
. You have an integer array initial
of the same size as target
with all elements initially zeros.
In one operation you can choose any subarray from initial
and increment each value by one.
Return the minimum number of operations to form a target
array from initial
.
The test cases are generated so that the answer fits in a 32-bit integer.
\n\n\n
Example 1:
\n\n\nInput: target = [1,2,3,2,1]\nOutput: 3\nExplanation: We need at least 3 operations to form the target array from the initial array.\n[0,0,0,0,0] increment 1 from index 0 to 4 (inclusive).\n[1,1,1,1,1] increment 1 from index 1 to 3 (inclusive).\n[1,2,2,2,1] increment 1 at index 2.\n[1,2,3,2,1] target array is formed.\n\n\n
Example 2:
\n\n\nInput: target = [3,1,1,2]\nOutput: 4\nExplanation: [0,0,0,0] -> [1,1,1,1] -> [1,1,1,2] -> [2,1,1,2] -> [3,1,1,2]\n\n\n
Example 3:
\n\n\nInput: target = [3,1,5,4,2]\nOutput: 7\nExplanation: [0,0,0,0,0] -> [1,1,1,1,1] -> [2,1,1,1,1] -> [3,1,1,1,1] -> [3,1,2,2,2] -> [3,1,3,3,2] -> [3,1,4,4,2] -> [3,1,5,4,2].\n\n\n
\n
Constraints:
\n\n1 <= target.length <= 105
1 <= target[i] <= 105
给你一个整数数组 target
和一个数组 initial
,initial
数组与 target
数组有同样的维度,且一开始全部为 0 。
请你返回从 initial
得到 target
的最少操作次数,每次操作需遵循以下规则:
initial
中选择 任意 子数组,并将子数组中每个元素增加 1 。答案保证在 32 位有符号整数以内。
\n\n\n\n
示例 1:
\n\n输入:target = [1,2,3,2,1]\n输出:3\n解释:我们需要至少 3 次操作从 intial 数组得到 target 数组。\n[0,0,0,0,0] 将下标为 0 到 4 的元素(包含二者)加 1 。\n[1,1,1,1,1] 将下标为 1 到 3 的元素(包含二者)加 1 。\n[1,2,2,2,1] 将下表为 2 的元素增加 1 。\n[1,2,3,2,1] 得到了目标数组。\n\n\n
示例 2:
\n\n输入:target = [3,1,1,2]\n输出:4\n解释:(initial)[0,0,0,0] -> [1,1,1,1] -> [1,1,1,2] -> [2,1,1,2] -> [3,1,1,2] (target) 。\n\n\n
示例 3:
\n\n输入:target = [3,1,5,4,2]\n输出:7\n解释:(initial)[0,0,0,0,0] -> [1,1,1,1,1] -> [2,1,1,1,1] -> [3,1,1,1,1] \n -> [3,1,2,2,2] -> [3,1,3,3,2] -> [3,1,4,4,2] -> [3,1,5,4,2] (target)。\n\n\n
示例 4:
\n\n输入:target = [1,1,1,1]\n输出:1\n\n\n
\n\n
提示:
\n\n1 <= target.length <= 10^5
1 <= target[i] <= 10^5
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