Class Solution
Medium
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
.
- If the robot moves up or down into a cell whose row is
r
, then this move costsrowCosts[r]
. - If the robot moves left or right into a cell whose column is
c
, then this move costscolCosts[c]
.
Return the minimum total cost for this robot to return home.
Example 1:
Input: startPos = [1, 0], homePos = [2, 3], rowCosts = [5, 4, 3], colCosts = [8, 2, 6, 7]
Output: 18
Explanation: One optimal path is that:
Starting from (1, 0)
-> It goes down to ( 2 , 0). This move costs rowCosts[2] = 3.
-> It goes right to (2, 1 ). This move costs colCosts[1] = 2.
-> It goes right to (2, 2 ). This move costs colCosts[2] = 6.
-> It goes right to (2, 3 ). This move costs colCosts[3] = 7.
The total cost is 3 + 2 + 6 + 7 = 18
Example 2:
Input: startPos = [0, 0], homePos = [0, 0], rowCosts = [5], colCosts = [26]
Output: 0
Explanation: The robot is already at its home. Since no moves occur, the total cost is 0.
Constraints:
m == 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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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptionint
minCost
(int[] startPos, int[] homePos, int[] rowCosts, int[] colCosts) Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Constructor Details
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Solution
public Solution()
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Method Details
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minCost
public int minCost(int[] startPos, int[] homePos, int[] rowCosts, int[] colCosts)
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