{ "data": { "question": { "questionId": "2916", "questionFrontendId": "2811", "categoryTitle": "Algorithms", "boundTopicId": 2373157, "title": "Check if it is Possible to Split Array", "titleSlug": "check-if-it-is-possible-to-split-array", "content": "
You are given an array nums of length n and an integer m. You need to determine if it is possible to split the array into n arrays of size 1 by performing a series of steps.
An array is called good if:
\n\nm.In each step, you can select an existing array (which may be the result of previous steps) with a length of at least two and split it into two arrays, if both resulting arrays are good.
\n\nReturn true if you can split the given array into n arrays, otherwise return false.
\n
Example 1:
\n\nInput: nums = [2, 2, 1], m = 4
\n\nOutput: true
\n\nExplanation:
\n\n[2, 2, 1] to [2, 2] and [1]. The array [1] has a length of one, and the array [2, 2] has the sum of its elements equal to 4 >= m, so both are good arrays.[2, 2] to [2] and [2]. both arrays have the length of one, so both are good arrays.Example 2:
\n\nInput: nums = [2, 1, 3], m = 5
\n\nOutput: false
\n\nExplanation:
\n\nThe first move has to be either of the following:
\n\n[2, 1, 3] to [2, 1] and [3]. The array [2, 1] has neither length of one nor sum of elements greater than or equal to m.[2, 1, 3] to [2] and [1, 3]. The array [1, 3] has neither length of one nor sum of elements greater than or equal to m.So as both moves are invalid (they do not divide the array into two good arrays), we are unable to split nums into n arrays of size 1.
Example 3:
\n\nInput: nums = [2, 3, 3, 2, 3], m = 6
\n\nOutput: true
\n\nExplanation:
\n\n[2, 3, 3, 2, 3] to [2] and [3, 3, 2, 3].[3, 3, 2, 3] to [3, 3, 2] and [3].[3, 3, 2] to [3, 3] and [2].[3, 3] to [3] and [3].\n
Constraints:
\n\n1 <= n == nums.length <= 1001 <= nums[i] <= 1001 <= m <= 200给你一个长度为 n 的数组 nums 和一个整数 m 。请你判断能否执行一系列操作,将数组拆分成 n 个 非空 数组。
一个数组被称为 好 的,如果:
\n\nm 。在每一步操作中,你可以选择一个 长度至少为 2 的现有数组(之前步骤的结果) 并将其拆分成 2 个子数组,而得到的 每个 子数组都需要是好的。
\n\n如果你可以将给定数组拆分成 n 个满足要求的数组,返回 true ;否则,返回 false 。
\n\n
示例 1:
\n\n输入:nums = [2, 2, 1], m = 4
\n\n输出:true
\n\n解释:
\n\n[2, 2, 1] 切分为 [2, 2] 和 [1]。数组 [1] 的长度为 1,数组 [2, 2] 的元素之和等于 4 >= m,所以两者都是好的数组。[2, 2] 切分为 [2] 和 [2]。两个数组的长度都是 1,所以都是好的数组。示例 2:
\n\n输入:nums = [2, 1, 3], m = 5
\n\n输出:false
\n\n解释:
\n\n第一步必须是以下之一:
\n\n[2, 1, 3] 切分为 [2, 1] 和 [3]。数组 [2, 1] 既不是长度为 1,也没有大于或等于 m 的元素和。[2, 1, 3] 切分为 [2] 和 [1, 3]。数组 [1, 3] 既不是长度为 1,也没有大于或等于 m 的元素和。因此,由于这两个操作都无效(它们没有将数组分成两个好的数组),因此我们无法将 nums 分成 n 个大小为 1 的数组。
示例 3:
\n\n输入:nums = [2, 3, 3, 2, 3], m = 6
\n\n输出:true
\n\n解释:
\n\n[2, 3, 3, 2, 3] 切分为 [2] 和 [3, 3, 2, 3]。[3, 3, 2, 3] 切分为 [3, 3, 2] 和 [3]。[3, 3, 2] 切分为 [3, 3] 和 [2]。[3, 3] 切分为 [3] 和 [3]。\n\n
提示:
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