Solution: Swim in Rising Water
Explore the Swim in Rising Water problem where you use a matrix to simulate rising water levels and determine the earliest time to traverse from the top-left to the bottom-right cell. Understand how a greedy, Dijkstra-like algorithm with a min heap and a visited set efficiently identifies the minimum water level needed to complete the swim. This lesson teaches you to apply matrix operations and priority queue techniques to solve complex pathfinding problems under elevation constraints.
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Statement
Given an 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 ...