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Solution: Island Perimeter

Explore how to calculate the perimeter of a single island within a grid by understanding adjacency rules and applying efficient traversal strategies. This lesson guides you through the step-by-step process of counting edges, reducing shared borders, and implementing a solution with optimal time and space complexity in matrix problems.

Statement

You are given a grid with dimensions row x col, where each cell represents either land (grid[i][j] = 1) or water (grid[i][j] = 0). The grid satisfies the following conditions:

  • Cells are connected only horizontally or vertically (not diagonally).

  • The grid is surrounded by water and contains exactly one island, consisting of one or more connected land cells.

  • The island has no lakes, meaning no water is enclosed within the island that connects to the surrounding water. ...