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Detecting a cycle

Detecting a cycle L Detecting a cycle L p Detecting a cycle L p stack Detecting a cycle L p stack Detecting a cycle L p Detecting a cycle p Cycle detected at p L Now restore the list using the saved pointers p L Restoring . . . L p Restoring . . . L p Restoring . . .

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Detecting a cycle

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  1. Detecting a cycle L

  2. Detecting a cycle L p

  3. Detecting a cycle L p stack

  4. Detecting a cycle L p stack

  5. Detecting a cycle L p

  6. Detecting a cycle p Cycle detected at p L

  7. Now restore the listusing the saved pointers p L

  8. Restoring . . . L p

  9. Restoring . . . L p

  10. Restoring . . . L p

  11. Restoring . . . L p

  12. Restored! L

  13. How much time and space? L

  14. How much time and space? O(N)time p L O(N)space for stack

  15. Detecting a cyclewith two-speed pointers L p q

  16. Detecting a cyclewith two-speed pointers L p q

  17. Detecting a cyclewith two-speed pointers L p q

  18. Detecting a cyclewith two-speed pointers L p q

  19. Detecting a cyclewith two-speed pointers L p q

  20. Detecting a cyclewith two-speed pointers p L q

  21. Detecting a cyclewith two-speed pointers p L q

  22. Detecting a cyclewith two-speed pointers L p q

  23. Detecting a cyclewith two-speed pointers L p q

  24. Detecting a cyclewith two-speed pointers L Cycle detected p q

  25. How much time and space? L

  26. Two-speed method:a larger example

  27. Two-speed method:a larger example

  28. Two-speed method:a larger example

  29. Two-speed method:a larger example

  30. Two-speed method:a larger example

  31. Two-speed method:a larger example

  32. Two-speed method:a larger example

  33. Two-speed method:a larger example

  34. Two-speed method:a larger example

  35. Two-speed method:a larger example

  36. Two-speed method:a larger example

  37. Two-speed method:a larger example

  38. Two-speed method:a larger example

  39. Two-speed method:a larger example

  40. Two-speed method:a larger example

  41. Two-speed method:a larger example

  42. Two-speed method:a larger example

  43. Two-speed method:a larger example

  44. Two-speed method:a larger example

  45. Two-speed method:a larger example

  46. Two-speed method:a larger example Cycle detected!

  47. How much time and space?

  48. How much time and space? O(1)space O(N)time

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