3 ms·
Here is what I tried for (https://leetcode.com/problems/longest-increasing-path-in-a-matrix/ https://leetcode.com/problems/longest-increasing-path-in-a-m...) I
by sayogo1227 4y ago
Here is what I tried for (https://leetcode.com/problems/longest-increasing-path-in-a-matrix/ https://leetcode.com/problems/longest-increasing-path-in-a-m...)
INPUT:
Given an m x n integers matrix, return the length of the longest increasing path in matrix.
From each cell, you can either move in four directions: left, right, up, or down. You may not move diagonally or move outside the boundary (i.e., wrap-around is not allowed).
Input: matrix = [[9,9,4],[6,6,8],[2,1,1]]
Output: 4
Explanation: The longest increasing path is [1, 2, 6, 9].
class Solution:
def longestIncreasingPath(self, matrix: List[List[int]]) -> int:
ChatGPT:
if not matrix or not matrix[0]: return 0
# initialize the 2D array with all zeros
dp = [[0] * len(matrix[0]) for _ in range(len(matrix))]
# initialize the result with 0
result = 0
# iterate through each cell in the matrix
for i in range(len(matrix)):
for j in range(len(matrix[0])):
# perform DFS starting from the current cell
result = max(result, self.dfs(matrix, dp, i, j))
# return the result
return result
# helper function to perform DFS
def dfs(self, matrix, dp, i, j):
# if the path length is already calculated, return it
if dp[i][j] > 0:
return dp[i][j]
# initialize the path length with 1
path_len = 1
# check the adjacent cells
for dx, dy in [(1, 0), (-1, 0), (0, 1), (0, -1)]:
# get the coordinates of the adjacent cell
x, y = i + dx, j + dy
# check if the adjacent cell is valid
if 0 <= x < len(matrix) and 0 <= y < len(matrix[0]):
# check if the adjacent cell has a smaller value
if matrix[x][y] > matrix[i][j]:
# perform DFS on the adjacent cell and update the path length
path_len = max(path_len, 1 + self.dfs(matrix, dp, x, y))
# store the path length in the 2D array
dp[i][j] = path_len
# return the path length
return path_len
- DenisM 4y agoHave you tried submitting it?
- sayogo1227 4y agoYes. Accepted.
- DenisM 4y agoSo what do we make of that? A really good search engine, or an entity that can synthesize?