{ "data": { "question": { "questionId": "489", "questionFrontendId": "1643", "categoryTitle": "Algorithms", "boundTopicId": 5941, "title": "Kth Smallest Instructions", "titleSlug": "kth-smallest-instructions", "content": "

Bob is standing at cell (0, 0), and he wants to reach destination: (row, column). He can only travel right and down. You are going to help Bob by providing instructions for him to reach destination.

\n\n

The instructions are represented as a string, where each character is either:

\n\n\n\n

Multiple instructions will lead Bob to destination. For example, if destination is (2, 3), both "HHHVV" and "HVHVH" are valid instructions.

\n\n

However, Bob is very picky. Bob has a lucky number k, and he wants the kth lexicographically smallest instructions that will lead him to destination. k is 1-indexed.

\n\n

Given an integer array destination and an integer k, return the kth lexicographically smallest instructions that will take Bob to destination.

\n\n

 

\n

Example 1:

\n\n

\"\"

\n\n
\nInput: destination = [2,3], k = 1\nOutput: "HHHVV"\nExplanation: All the instructions that reach (2, 3) in lexicographic order are as follows:\n["HHHVV", "HHVHV", "HHVVH", "HVHHV", "HVHVH", "HVVHH", "VHHHV", "VHHVH", "VHVHH", "VVHHH"].\n
\n\n

Example 2:

\n\n

\"\"

\n\n
\nInput: destination = [2,3], k = 2\nOutput: "HHVHV"\n
\n\n

Example 3:

\n\n

\"\"

\n\n
\nInput: destination = [2,3], k = 3\nOutput: "HHVVH"\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "第 K 条最小指令", "translatedContent": "

Bob 站在单元格 (0, 0) ，想要前往目的地 destination ：(row, column) 。他只能向 右 或向 下 走。你可以为 Bob 提供导航 指令 来帮助他到达目的地 destination 。

\n\n

指令 用字符串表示，其中每个字符：

\n\n\n\n

能够为 Bob 导航到目的地 destination 的指令可以有多种，例如，如果目的地 destination 是 (2, 3)，\"HHHVV\" 和 \"HVHVH\" 都是有效 指令 。

\n\n\n\n

然而，Bob 很挑剔。因为他的幸运数字是 k，他想要遵循 按字典序排列后的第 k 条最小指令 的导航前往目的地 destination 。k  的编号 从 1 开始 。

\n\n

给你一个整数数组 destination 和一个整数 k ，请你返回可以为 Bob 提供前往目的地 destination 导航的 按字典序排列后的第 k 条最小指令 。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
\n输入：destination = [2,3], k = 1\n输出：\"HHHVV\"\n解释：能前往 (2, 3) 的所有导航指令 按字典序排列后 如下所示：\n[\"HHHVV\", \"HHVHV\", \"HHVVH\", \"HVHHV\", \"HVHVH\", \"HVVHH\", \"VHHHV\", \"VHHVH\", \"VHVHH\", \"VVHHH\"].\n
\n\n

示例 2：

\n\n

\"\"

\n\n
\n输入：destination = [2,3], k = 2\n输出：\"HHVHV\"\n
\n\n

示例 3：

\n\n

\"\"

\n\n
\n输入：destination = [2,3], k = 3\n输出：\"HHVVH\"\n
\n\n

 

\n\n

提示：

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