How to Solve Swim in Rising Water Problem
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Swim in Rising Water
You are given an n x n integer matrix grid where each value grid[i][j] represents the elevation at that point (i, j). It starts raining, and water gradually rises over time. At time t, the water level...
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Understanding the Swim in Rising Water Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an n x n integer matrix grid where each value grid[i][j] represents the elevation at that point (i, j). It starts raining, and water gradually rises over time. At time t, the water level is t, meaning any cell with elevation less than equal to t is submerged or reachable. You can swim from a square to another 4-directionally adjacent square if and only if the elevation of both squares individually are at most t. You can swim infinite distances in zero time. Of course, you must stay within the boundaries of the grid during your swim. Return the minimum time until you can reach the bottom right square (n - 1, n - 1) if you start at the top left square (0, 0).
Swim in Rising Water
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Examples
grid = [[0,2],[1,3]]3At time 0, you are in grid location (0, 0). You cannot go anywhere else because 4-directionally adjacent neighbors have a higher elevation than t = 0. You cannot reach point (1, 1) until time 3. When the depth of water is 3, we can swim anywhere inside the grid.
grid = [[0,1,2,3,4],[24,23,22,21,5],[12,13,14,15,16],[11,17,18,19,20],[10,9,8,7,6]]16The final route is shown. We need to wait until time 16 so that (0, 0) and (4, 4) are connected.
Constraints
n == grid.lengthn == grid[i].length1 <= n <= 500 <= grid[i][j] < n2Each value grid[i][j] is unique.How Interview Coder Helps with Leetcode Problems
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