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Grokking the Coding Interview Patterns in C++

Solution: Swim in Rising Water

Explore how to determine the minimum time to swim across an elevation grid while water rises. This lesson teaches a Dijkstra-inspired approach using a min heap to efficiently navigate and track elevations, enabling you to solve matrix traversal problems involving dynamic constraints in algorithmic coding interviews.

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Statement

Given an n×nn \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 ...