Swim in Rising Water

Explore how to determine the minimum time required to swim from the top-left to the bottom-right of a grid with rising water levels. Understand movement constraints based on elevation within a matrix and learn to implement efficient solutions using Go. This lesson deepens your grasp of matrix-based problems and algorithm design for coding interviews.

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Statement

Given an $n \times n$ grid (2D matrix) where each cell grid[i][j] represents the elevation at position (i, j).

Once it starts to rain, the water level rises over time. At any given time t, the water depth across the grid equals t. A swimmer can move from one cell to an adjacent cell (up, down, left, or right) if both cells have elevations less than or equal to the current water level t.

If the elevation condition is satisfied, a swimmer can swim any distance instantly. However, he cannot move outside the grid boundaries.

Return the minimum time t at which it becomes possible to swim from the top-left cell $(0$ ...