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Island Census

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Problem context and objectives
Mission briefing

Expedition navigator · Safe camps and hazards form a connected world map

Find a valid route while marking every place already explored: Island Census.

Without visited state, the party loops forever or revisits expensive terrain.

How you win

  1. 1Recognize when Number of islands matches the clues
  2. 2Keep this true after every move: all land before the scan position has been assigned to exactly one counted island
  3. 3Reach the result within O(rows times columns) time and space

Rules and pressure

  • Target cost: O(rows times columns) time and space
  • State rule: all land before the scan position has been assigned to exactly one counted island
Lesson 1 of 3

Count one island at the first unseen land cell, then survey its complete four-direction component.

Your call · Which cells belong to the first flood from root (0,0)?

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