2658. Maximum Number of Fish in a Grid ¶
Problem
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, ifgrid[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:
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:
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