Min Cost In Maze Traversal

24/05/2021 5 min Temporada 2 Episodio 4

Listen "Min Cost In Maze Traversal"

Episode Synopsis

1. You are given a number n, representing the number of rows.
2. You are given a number m, representing the number of columns.
3. You are given n*m numbers, representing elements of 2d array a, which represents a maze.
4. You are standing in top-left cell and are required to move to bottom-right cell.
5. You are allowed to move 1 cell right (h move) or 1 cell down (v move) in 1 motion.
6. Each cell has a value that will have to be paid to enter that cell (even for the top-left and bottom-
    right cell).
7. You are required to traverse through the matrix and print the cost of path which is least costly.
Input Format
A number n
A number m
e11
e12..
e21
e22..
.. n * m number of elements
Output Format
The cost of least costly path.
Constraints
1 <= n <= 10^2
1 <= m <= 10^2
0 <= e1, e2, .. n * m elements <= 1000
Sample Input
6
6
0 1 4 2 8 2
4 3 6 5 0 4
1 2 4 1 4 6
2 0 7 3 2 2
3 1 5 9 2 4
2 7 0 8 5 1
Sample Output
23