mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
cd3e8f95a0
* isort --profile black --recursive . * Update codespell.yml * typo: vertices * typo: Explanation * typo: Explanation * Fix typos
38 lines
925 B
Python
38 lines
925 B
Python
# Youtube Explanation: https://www.youtube.com/watch?v=lBRtnuxg-gU
|
|
|
|
from typing import List
|
|
|
|
|
|
def minimum_cost_path(matrix: List[List[int]]) -> int:
|
|
"""
|
|
Find the minimum cost traced by all possible paths from top left to bottom right in
|
|
a given matrix
|
|
|
|
>>> minimum_cost_path([[2, 1], [3, 1], [4, 2]])
|
|
6
|
|
|
|
>>> minimum_cost_path([[2, 1, 4], [2, 1, 3], [3, 2, 1]])
|
|
7
|
|
"""
|
|
|
|
# preprocessing the first row
|
|
for i in range(1, len(matrix[0])):
|
|
matrix[0][i] += matrix[0][i - 1]
|
|
|
|
# preprocessing the first column
|
|
for i in range(1, len(matrix)):
|
|
matrix[i][0] += matrix[i - 1][0]
|
|
|
|
# updating the path cost for current position
|
|
for i in range(1, len(matrix)):
|
|
for j in range(1, len(matrix[0])):
|
|
matrix[i][j] += min(matrix[i - 1][j], matrix[i][j - 1])
|
|
|
|
return matrix[-1][-1]
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|