Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

3Blue1Brown via YouTube Direct link

- Puzzle statement and motivation

1 of 7

1 of 7

- Puzzle statement and motivation

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Olympiad Level Counting - How Many Subsets of {1,…,2000} Have a Sum Divisible by 5?

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  1. 1 - Puzzle statement and motivation
  2. 2 - Simpler example
  3. 3 - The generating function
  4. 4 - Evaluation tricks
  5. 5 - Roots of unity
  6. 6 - Recap and final trick
  7. 7 - Takeaways

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