{ "data": { "question": { "questionId": "2192", "questionFrontendId": "2087", "categoryTitle": "Algorithms", "boundTopicId": 1121191, "title": "Minimum Cost Homecoming of a Robot in a Grid", "titleSlug": "minimum-cost-homecoming-of-a-robot-in-a-grid", "content": "

There is an m x n grid, where (0, 0) is the top-left cell and (m - 1, n - 1) is the bottom-right cell. You are given an integer array startPos where startPos = [startrow, startcol] indicates that initially, a robot is at the cell (startrow, startcol). You are also given an integer array homePos where homePos = [homerow, homecol] indicates that its home is at the cell (homerow, homecol).

\n\n

The robot needs to go to its home. It can move one cell in four directions: left, right, up, or down, and it can not move outside the boundary. Every move incurs some cost. You are further given two 0-indexed integer arrays: rowCosts of length m and colCosts of length n.

\n\n\n\n

Return the minimum total cost for this robot to return home.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: startPos = [1, 0], homePos = [2, 3], rowCosts = [5, 4, 3], colCosts = [8, 2, 6, 7]\nOutput: 18\nExplanation: One optimal path is that:\nStarting from (1, 0)\n-> It goes down to (2, 0). This move costs rowCosts[2] = 3.\n-> It goes right to (2, 1). This move costs colCosts[1] = 2.\n-> It goes right to (2, 2). This move costs colCosts[2] = 6.\n-> It goes right to (2, 3). This move costs colCosts[3] = 7.\nThe total cost is 3 + 2 + 6 + 7 = 18
\n\n

Example 2:

\n\n
\nInput: startPos = [0, 0], homePos = [0, 0], rowCosts = [5], colCosts = [26]\nOutput: 0\nExplanation: The robot is already at its home. Since no moves occur, the total cost is 0.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "网格图中机器人回家的最小代价", "translatedContent": "

给你一个 m x n 的网格图，其中 (0, 0) 是最左上角的格子，(m - 1, n - 1) 是最右下角的格子。给你一个整数数组 startPos ，startPos = [startrow, startcol] 表示 初始 有一个 机器人 在格子 (startrow, startcol) 处。同时给你一个整数数组 homePos ，homePos = [homerow, homecol] 表示机器人的 家 在格子 (homerow, homecol) 处。

\n\n

机器人需要回家。每一步它可以往四个方向移动：上，下，左，右，同时机器人不能移出边界。每一步移动都有一定代价。再给你两个下标从 0 开始的额整数数组：长度为 m 的数组 rowCosts  和长度为 n 的数组 colCosts 。

\n\n\n\n

请你返回机器人回家需要的 最小总代价 。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
输入：startPos = [1, 0], homePos = [2, 3], rowCosts = [5, 4, 3], colCosts = [8, 2, 6, 7]\n输出：18\n解释：一个最优路径为：\n从 (1, 0) 开始\n-> 往下走到 (2, 0) 。代价为 rowCosts[2] = 3 。\n-> 往右走到 (2, 1) 。代价为 colCosts[1] = 2 。\n-> 往右走到 (2, 2) 。代价为 colCosts[2] = 6 。\n-> 往右走到 (2, 3) 。代价为 colCosts[3] = 7 。\n总代价为 3 + 2 + 6 + 7 = 18
\n\n

示例 2：

\n\n
输入：startPos = [0, 0], homePos = [0, 0], rowCosts = [5], colCosts = [26]\n输出：0\n解释：机器人已经在家了，所以不需要移动。总代价为 0 。\n
\n\n

 

\n\n

提示：

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            "__typename": "QuestionNode"
        }
    }
}