{ "data": { "question": { "questionId": "2192", "questionFrontendId": "2087", "boundTopicId": null, "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)
.
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
.
r
, then this move costs rowCosts[r]
.c
, then this move costs colCosts[c]
.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\nm == rowCosts.length
n == colCosts.length
1 <= m, n <= 105
0 <= rowCosts[r], colCosts[c] <= 104
startPos.length == 2
homePos.length == 2
0 <= startrow, homerow < m
0 <= startcol, homecol < n
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