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Scapegoat tree join, fig 2

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Oct 20th, 2021
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  1. size(L) = 5 height(L) = 5
  2. size(R) = 10 height(R) = 7
  3.  
  4. Maximum height is 2 * floor(log2(size)) + 1
  5.  
  6. size(L) + size(R) = 15, max height is 7
  7.  
  8.  
  9. L R
  10.  
  11. 1 x o o
  12. ╱ ╱ ╲ ╱ ╲
  13. 2 x o o o o
  14. ╱ ╱ ╲ ╱ ╱ ╲ ╱
  15. 3 x + o o o = x o o
  16. ╲ ╱ ╱ ╲
  17. 4 x o x o
  18. ╱ ╱ ╱ ╱
  19. 5 x o x o
  20. ╱ ╲ ╱
  21. 6 o x o
  22. ╲ ╱ ╱
  23. 7 o x o
  24. 8! o <-- to deep
  25.  
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