2658-maximum-number-of-fish-in-a-grid.adoc

2658. Maximum Number of Fish in a Grid

{leetcode}/problems/maximum-number-of-fish-in-a-grid/[LeetCode - 2658. Maximum Number of Fish in a Grid ^]

You are given a 0-indexed 2D matrix grid of size m x n, where (r, c) represents:

• A land cell if grid[r][c] = 0, or

• A water cell containing grid[r][c] fish, if grid[r][c] > 0.

A fisher can start at any water cell (r, c) and can do the following operations any number of times:

• Catch all the fish at cell (r, c), or

• Move to any adjacent water cell.

Return _the maximum number of fish the fisher can catch if he chooses his starting cell optimally, or _`0` if no water cell exists.

An adjacent cell of the cell (r, c), is one of the cells (r, c + 1), (r, c - 1), (r + 1, c) or (r - 1, c) if it exists.

Example 1: <img alt="" src="https://assets.leetcode.com/uploads/2023/03/29/example.png" style="width: 241px; height: 161px;" />

Input: grid = [[0,2,1,0],[4,0,0,3],[1,0,0,4],[0,3,2,0]]
Output: 7
Explanation: The fisher can start at cell (1,3) and collect 3 fish, then move to cell (2,3) and collect 4 fish.

Example 2: <img alt="" src="https://assets.leetcode.com/uploads/2023/03/29/example2.png" />

Input: grid = [[1,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]
Output: 1
Explanation: The fisher can start at cells (0,0) or (3,3) and collect a single fish.

Constraints:

• m == grid.length

• n == grid[i].length

• 1 ⇐ m, n ⇐ 10

• 0 ⇐ grid[i][j] ⇐ 10

思路分析

一刷

link:{sourcedir}/_2658_MaximumNumberOfFishInAGrid.java[role=include]

参考资料