{ "data": { "question": { "questionId": "2018", "questionFrontendId": "1889", "categoryTitle": "Algorithms", "boundTopicId": 808708, "title": "Minimum Space Wasted From Packaging", "titleSlug": "minimum-space-wasted-from-packaging", "content": "

You have n packages that you are trying to place in boxes, one package in each box. There are m suppliers that each produce boxes of different sizes (with infinite supply). A package can be placed in a box if the size of the package is less than or equal to the size of the box.

\n\n

The package sizes are given as an integer array packages, where packages[i] is the size of the ith package. The suppliers are given as a 2D integer array boxes, where boxes[j] is an array of box sizes that the jth supplier produces.

\n\n

You want to choose a single supplier and use boxes from them such that the total wasted space is minimized. For each package in a box, we define the space wasted to be size of the box - size of the package. The total wasted space is the sum of the space wasted in all the boxes.

\n\n\n\n

Return the minimum total wasted space by choosing the box supplier optimally, or -1 if it is impossible to fit all the packages inside boxes. Since the answer may be large, return it modulo 109 + 7.

\n\n

 

\n

Example 1:

\n\n
\nInput: packages = [2,3,5], boxes = [[4,8],[2,8]]\nOutput: 6\nExplanation: It is optimal to choose the first supplier, using two size-4 boxes and one size-8 box.\nThe total waste is (4-2) + (4-3) + (8-5) = 6.\n
\n\n

Example 2:

\n\n
\nInput: packages = [2,3,5], boxes = [[1,4],[2,3],[3,4]]\nOutput: -1\nExplanation: There is no box that the package of size 5 can fit in.\n
\n\n

Example 3:

\n\n
\nInput: packages = [3,5,8,10,11,12], boxes = [[12],[11,9],[10,5,14]]\nOutput: 9\nExplanation: It is optimal to choose the third supplier, using two size-5 boxes, two size-10 boxes, and two size-14 boxes.\nThe total waste is (5-3) + (5-5) + (10-8) + (10-10) + (14-11) + (14-12) = 9.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "装包裹的最小浪费空间", "translatedContent": "

给你 n 个包裹,你需要把它们装在箱子里,每个箱子装一个包裹。总共有 m 个供应商提供 不同尺寸 的箱子(每个规格都有无数个箱子)。如果一个包裹的尺寸 小于等于 一个箱子的尺寸,那么这个包裹就可以放入这个箱子之中。

\n\n

包裹的尺寸用一个整数数组 packages 表示,其中 packages[i] 是第 i 个包裹的尺寸。供应商用二维数组 boxes 表示,其中 boxes[j] 是第 j 个供应商提供的所有箱子尺寸的数组。

\n\n

你想要选择 一个供应商 并只使用该供应商提供的箱子,使得 总浪费空间最小 。对于每个装了包裹的箱子,我们定义 浪费的 空间等于 箱子的尺寸 - 包裹的尺寸 。总浪费空间 为 所有 箱子中浪费空间的总和。

\n\n\n\n

请你选择 最优 箱子供应商,使得 总浪费空间最小 。如果 无法 将所有包裹放入箱子中,请你返回 -1 。由于答案可能会 很大 ,请返回它对 109 + 7 取余 的结果。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:packages = [2,3,5], boxes = [[4,8],[2,8]]\n输出:6\n解释:选择第一个供应商最优,用两个尺寸为 4 的箱子和一个尺寸为 8 的箱子。\n总浪费空间为 (4-2) + (4-3) + (8-5) = 6 。\n
\n\n

示例 2:

\n\n
\n输入:packages = [2,3,5], boxes = [[1,4],[2,3],[3,4]]\n输出:-1\n解释:没有箱子能装下尺寸为 5 的包裹。\n
\n\n

示例 3:

\n\n
\n输入:packages = [3,5,8,10,11,12], boxes = [[12],[11,9],[10,5,14]]\n输出:9\n解释:选择第三个供应商最优,用两个尺寸为 5 的箱子,两个尺寸为 10 的箱子和两个尺寸为 14 的箱子。\n总浪费空间为 (5-3) + (5-5) + (10-8) + (10-10) + (14-11) + (14-12) = 9 。\n
\n\n

 

\n\n

提示:

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