{ "data": { "question": { "questionId": "100202", "questionFrontendId": "面试题 08.13", "categoryTitle": "LCCI", "boundTopicId": 49292, "title": "Pile Box LCCI", "titleSlug": "pile-box-lcci", "content": "

You have a stack of n boxes, with widths wi, depths di, and heights hi. The boxes cannot be rotated and can only be stacked on top of one another if each box in the stack is strictly larger than the box above it in width, height, and depth. Implement a method to compute the height of the tallest possible stack. The height of a stack is the sum of the heights of each box.

\r\n\r\n

The input use [wi, di, hi] to represents each box.

\r\n\r\n

Example1:

\r\n\r\n
\r\n Input: box = [[1, 1, 1], [2, 2, 2], [3, 3, 3]]\r\n Output: 6\r\n
\r\n\r\n

Example2:

\r\n\r\n
\r\n Input: box = [[1, 1, 1], [2, 3, 4], [2, 6, 7], [3, 4, 5]]\r\n Output: 10\r\n
\r\n\r\n

Note:

\r\n\r\n
    \r\n\t
  1. box.length <= 3000
    2. \r\n
\r\n", "translatedTitle": "堆箱子", "translatedContent": "

堆箱子。给你一堆n个箱子，箱子宽 wi、深 di、高 hi。箱子不能翻转，将箱子堆起来时，下面箱子的宽度、高度和深度必须大于上面的箱子。实现一种方法，搭出最高的一堆箱子。箱堆的高度为每个箱子高度的总和。

\n\n

输入使用数组[wi, di, hi]表示每个箱子。

\n\n

示例1:

\n\n
 输入：box = [[1, 1, 1], [2, 2, 2], [3, 3, 3]]\n 输出：6\n
\n\n

示例2:

\n\n
 输入：box = [[1, 1, 1], [2, 3, 4], [2, 6, 7], [3, 4, 5]]\n 输出：10\n
\n\n

提示:

\n\n
    \n\t
  1. 箱子的数目不大于3000个。
    2. \n
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