Back to course home
0% completed
Vote For New Content
Path With Minimum Effort (medium)
Problem Statement
You are given a 2D array heights[][]
of size n x m
, where heights[n][m]
represents the height of the cell (n, m)
.
Find a path from the top-left
corner to the bottom-right
corner that minimizes the effort required to travel
between consecutive points, where effort
is defined as the absolute difference
in height
between two points. In a single step, you can either move up
, down
, left
or right
.
Return the minimum effort
required for any path from the first point to the last.
Examples
Example 1:
- Input: heights =
[[1,2,3],
[3,8,4],
[5,3,5]]
- Expected Output:
1
- Justification: The path with the minimum effort is along the edges of the grid (right, right, down, down) which requires an effort of 1 between each pair of points.
Example 2:
- Input: heights =
[[1,2,2],
[3,3,3],
[5,3,1]]
- Expected Output:
2
- Justification: The path that minimizes the maximum effort goes through (1,2,2,3,1), which has a maximum effort of 2 (from 3 to 1).
Example 3:
- Input: heights =
[[1,1,1],
[1,1,1],
[1,1,1]]
- Expected Output:
0
- Justification: The path that minimizes the maximum effort goes through (1,1,1,1,1), which has a maximum effort of 0.
Constraints:
rows == heights.length
columns == heights[i].length
1 <= rows, columns <= 100
- 1 <= heights[i][j] <= 10<sup>6</sup>
Constraints:
rows == heights.length
columns == heights[i].length
1 <= rows, columns <= 100
- 1 <= heights[i][j] <= 10<sup>6</sup>
Try it yourself
Try solving this question here:
Python3
Python3
. . . .
.....
.....
.....
Like the course? Get enrolled and start learning!
Table of Contents
Contents are not accessible
Contents are not accessible
Contents are not accessible
Contents are not accessible
Contents are not accessible