Slides for a small high school presentation I did for my English class (based on Knuth's paper of the same name).

1. The Complexity of Songs By Rohan Sharma

2. Disclaimer

3. “ The Ideal Talk”

4. Introduction

5. Informative

6. Accessible

7. < 10 minutes

8. My Talk

9. No introduction

10. Uninformative

11. Arcane

12. Possibly > 10 minutes

13. Possibly > 10 minutes

14. </Disclaimer>

15. Computer Science

16. Computer Science

17. Computer Science

19. Computer Science

21. Astronomy

23. Warning: Boring Stuff Ahead!

25. Computational Complexity

26. Largest Member

27. 3 2 7 9 1

28. 3 2 7 9 1

29. 3 2 7 9 1

30. 3 2 7 9 1

31. 3 2 7 9 1

32. 3 2 7 9 1

33. 3 2 7 9 1

34. 3 2 7 9 1

35. Linear Time O(n)

36. Binary Search

37. 3 7 10 21 33 39 46 Search for 10

38. 3 7 10 Search for 10

39. 10 Found 10

40. Logarithmic time O(lg n)

45. The Complexity of Songs

47. How?

48. Letters?

49. Tedious!

50. Words?

51. Yes!

52. Toughest: O(n) Easiest: O(1)

54. Never gonna give you up Never gonna let you down Never gonna run around and desert you Never gonna make you cry Never gonna say goodbye Never gonna tell a lie and hurt you

55. Never gonna give you up Never gonna let you down Never gonna run around and desert you Never gonna make you cry Never gonna say goodbye Never gonna tell a lie and hurt you FAIL

56. Breakthrough

58. O(n 1/2 )

59. The Twelve Days of Christmas On the first day of Christmas my true love sent to me A partridge in a pear tree. On the second day of Christmas my true love sent to me Two turtle doves, and a partridge in a pear tree. On the third day of Christmas, my true love sent to me Three French hens, two turtle doves, and a partridge in a pear tree.

60. The Twelve Days of Christmas On the first day of Christmas my true love sent to me gift 1 On the second day of Christmas my true love sent to me gift 1, gift 2 On the third day of Christmas, my true love sent to me gift 1, gift 2, gift 3 ... On the n th day of Christmas, my true love sent to me gift 1, gift 2, gift 3, ..., gift n

61. The Twelve Days of Christmas gift 1 gift 1, gift 2 gift 1, gift 2, gift 3 ... gift 1, gift 2, gift 3, ..., gift n

62. The Twelve Days of Christmas gift 1 gift 1, gift 2 gift 1, gift 2, gift 3 ... gift 1, gift 2, gift 3, ..., gift n

63. O(n 1/2 )

64. Breakthrough #2

65. N Bottles of Beer n bottles of beer on the wall n bottles of beer! You take one down, and pass it around n - 1 bottles of beer on the wall!

66. O(lg n)

68. O(1)

69. Questions?