{ "data": { "question": { "questionId": "1772", "questionFrontendId": "1649", "categoryTitle": "Algorithms", "boundTopicId": 473593, "title": "Create Sorted Array through Instructions", "titleSlug": "create-sorted-array-through-instructions", "content": "
Given an integer array instructions, you are asked to create a sorted array from the elements in instructions. You start with an empty container nums. For each element from left to right in instructions, insert it into nums. The cost of each insertion is the minimum of the following:
nums that are strictly less than instructions[i].nums that are strictly greater than instructions[i].For example, if inserting element 3 into nums = [1,2,3,5], the cost of insertion is min(2, 1) (elements 1 and 2 are less than 3, element 5 is greater than 3) and nums will become [1,2,3,3,5].
Return the total cost to insert all elements from instructions into nums. Since the answer may be large, return it modulo 109 + 7
\r\n
Example 1:
\r\n\r\n\r\nInput: instructions = [1,5,6,2]\r\nOutput: 1\r\nExplanation: Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 5 with cost min(1, 0) = 0, now nums = [1,5].\r\nInsert 6 with cost min(2, 0) = 0, now nums = [1,5,6].\r\nInsert 2 with cost min(1, 2) = 1, now nums = [1,2,5,6].\r\nThe total cost is 0 + 0 + 0 + 1 = 1.\r\n\r\n
Example 2:
\r\n\r\n\r\nInput: instructions = [1,2,3,6,5,4]\r\nOutput: 3\r\nExplanation: Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 2 with cost min(1, 0) = 0, now nums = [1,2].\r\nInsert 3 with cost min(2, 0) = 0, now nums = [1,2,3].\r\nInsert 6 with cost min(3, 0) = 0, now nums = [1,2,3,6].\r\nInsert 5 with cost min(3, 1) = 1, now nums = [1,2,3,5,6].\r\nInsert 4 with cost min(3, 2) = 2, now nums = [1,2,3,4,5,6].\r\nThe total cost is 0 + 0 + 0 + 0 + 1 + 2 = 3.\r\n\r\n\r\n
Example 3:
\r\n\r\n\r\nInput: instructions = [1,3,3,3,2,4,2,1,2]\r\nOutput: 4\r\nExplanation: Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3,3].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3,3,3].\r\nInsert 2 with cost min(1, 3) = 1, now nums = [1,2,3,3,3].\r\nInsert 4 with cost min(5, 0) = 0, now nums = [1,2,3,3,3,4].\r\nInsert 2 with cost min(1, 4) = 1, now nums = [1,2,2,3,3,3,4].\r\nInsert 1 with cost min(0, 6) = 0, now nums = [1,1,2,2,3,3,3,4].\r\nInsert 2 with cost min(2, 4) = 2, now nums = [1,1,2,2,2,3,3,3,4].\r\nThe total cost is 0 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 2 = 4.\r\n\r\n\r\n
\r\n
Constraints:
\r\n\r\n1 <= instructions.length <= 1051 <= instructions[i] <= 105给你一个整数数组 instructions ,你需要根据 instructions 中的元素创建一个有序数组。一开始你有一个空的数组 nums ,你需要 从左到右 遍历 instructions 中的元素,将它们依次插入 nums 数组中。每一次插入操作的 代价 是以下两者的 较小值 :
nums 中 严格小于 instructions[i] 的数字数目。nums 中 严格大于 instructions[i] 的数字数目。比方说,如果要将 3 插入到 nums = [1,2,3,5] ,那么插入操作的 代价 为 min(2, 1) (元素 1 和 2 小于 3 ,元素 5 大于 3 ),插入后 nums 变成 [1,2,3,3,5] 。
请你返回将 instructions 中所有元素依次插入 nums 后的 总最小代价 。由于答案会很大,请将它对 109 + 7 取余 后返回。
\n\n
示例 1:
\n\n输入:instructions = [1,5,6,2]\n输出:1\n解释:一开始 nums = [] 。\n插入 1 ,代价为 min(0, 0) = 0 ,现在 nums = [1] 。\n插入 5 ,代价为 min(1, 0) = 0 ,现在 nums = [1,5] 。\n插入 6 ,代价为 min(2, 0) = 0 ,现在 nums = [1,5,6] 。\n插入 2 ,代价为 min(1, 2) = 1 ,现在 nums = [1,2,5,6] 。\n总代价为 0 + 0 + 0 + 1 = 1 。\n\n
示例 2:
\n\n输入:instructions = [1,2,3,6,5,4]\n输出:3\n解释:一开始 nums = [] 。\n插入 1 ,代价为 min(0, 0) = 0 ,现在 nums = [1] 。\n插入 2 ,代价为 min(1, 0) = 0 ,现在 nums = [1,2] 。\n插入 3 ,代价为 min(2, 0) = 0 ,现在 nums = [1,2,3] 。\n插入 6 ,代价为 min(3, 0) = 0 ,现在 nums = [1,2,3,6] 。\n插入 5 ,代价为 min(3, 1) = 1 ,现在 nums = [1,2,3,5,6] 。\n插入 4 ,代价为 min(3, 2) = 2 ,现在 nums = [1,2,3,4,5,6] 。\n总代价为 0 + 0 + 0 + 0 + 1 + 2 = 3 。\n\n\n
示例 3:
\n\n输入:instructions = [1,3,3,3,2,4,2,1,2]\n输出:4\n解释:一开始 nums = [] 。\n插入 1 ,代价为 min(0, 0) = 0 ,现在 nums = [1] 。\n插入 3 ,代价为 min(1, 0) = 0 ,现在 nums = [1,3] 。\n插入 3 ,代价为 min(1, 0) = 0 ,现在 nums = [1,3,3] 。\n插入 3 ,代价为 min(1, 0) = 0 ,现在 nums = [1,3,3,3] 。\n插入 2 ,代价为 min(1, 3) = 1 ,现在 nums = [1,2,3,3,3] 。\n插入 4 ,代价为 min(5, 0) = 0 ,现在 nums = [1,2,3,3,3,4] 。\n插入 2 ,代价为 min(1, 4) = 1 ,现在 nums = [1,2,2,3,3,3,4] 。\n插入 1 ,代价为 min(0, 6) = 0 ,现在 nums = [1,1,2,2,3,3,3,4] 。\n插入 2 ,代价为 min(2, 4) = 2 ,现在 nums = [1,1,2,2,2,3,3,3,4] 。\n总代价为 0 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 2 = 4 。\n\n\n
\n\n
提示:
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