Lesson overview · Free interview practice

Network Flow Algorithms

Solve flow problems in networks, such as maximum flow and minimum cut.

Topics in the full lesson
  • Concept and Use Cases
  • Key Concepts
  • Time and Space Complexity
  • Network Flow Algorithms and Methods
  • Practical Tips and Tricks
  • Common Gotchas
  • Advanced Topics
  • Interview Tips and Tricks
  • Common Mistakes

Practice Problems

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Question

You are given an m × n matrix seats representing a classroom ('#' is a broken seat, '.' is available). A student sitting at (i, j) can see the answers of any student in the four positions (i, j-1), (i, j+1), (i-1, j-1), (i-1, j+1) (no upward sight). Return the maximum number of students that can be seated such that no one can cheat off anyone else.

Take a moment to think about this before revealing the answer

Explain your reasoning or try an implementation before comparing answers.

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