Statistics

Problem Statement for "TaliluluCoffee"

Problem Statement

A new coffee place opened on the campus of Talilulu University. Things work differently at this coffee place. Every customer arrives at time 0, and the owner decides the order in which to serve them. A single customer is served each second, until all the customers have been served. The first customer is served at second 0. If customer i is served at time t seconds, he will pay tips[i] - t. If this number is negative, he will not pay a tip at all. Given a int[] tips return the maximum amount of money the owner can make in tips.

Definition

Class:
TaliluluCoffee
Method:
maxTip
Parameters:
int[]
Returns:
int
Method signature:
int maxTip(int[] tips)
(be sure your method is public)

Constraints

  • tips will contain between 0 and 50 elements, inclusive.
  • Each element of tips will be between 0 and 100000, inclusive.

Examples

  1. {3, 3, 3, 3}

    Returns: 6

    The order in which the customers will be served is not relevant because all tips are the same.

  2. {3, 2, 3}

    Returns: 5

    A good solution is: first serve the second customer, then serve the third one, then the first one. The profit from tips will be 2 + (3 - 1) + (3 - 2) = 2 + 2 + 1 = 5.

  3. {7, 8, 6, 9, 10}

    Returns: 30

  4. {1, 1, 1, 1, 2}

    Returns: 2

  5. {99988, 13098, 2007, 2008, 1765, 1989, 2022, 1982, 1222, 1552, 12123, 21311, 14154}

    Returns: 175143

  6. {1,2,3}

    Returns: 4

  7. {27, 24, 48, 27, 10, 20, 35, 22, 27, 26, 4, 6, 32, 19, 24, 37, 43}

    Returns: 320

  8. {39, 3, 9, 45, 43, 12, 7, 2, 38, 23, 48, 25, 5, 5, 1, 10, 46, 24, 46, 7, 42, 41, 35, 11, 30, 2, 11, 7, 45, 22, 41, 4, 49, 33, 45}

    Returns: 570

  9. {30, 36, 50, 7, 9, 50, 22, 3, 2, 14, 48, 23}

    Returns: 246

  10. {24, 35, 23, 47, 37, 3, 26, 28, 30, 7, 48, 10, 43, 29, 22, 23, 26, 38, 2, 34, 30, 39, 12, 27, 39, 48, 13, 31, 32, 47, 46, 4, 12, 29, 20, 49}

    Returns: 586

  11. {5}

    Returns: 5

  12. {14, 49, 33, 31, 44}

    Returns: 161

  13. {44, 17, 4, 27, 6, 27}

    Returns: 111

  14. {40, 5, 41, 22, 37, 25, 36, 16, 45, 40, 35, 32, 43, 4, 46, 49, 19, 27, 28, 36, 3, 36, 8, 42, 8, 22, 11, 25, 20, 35, 34, 45, 18, 50, 50, 41, 9, 47, 3, 45, 40, 1, 30, 16, 32, 30, 48, 9}

    Returns: 735

  15. {24, 1, 8, 1, 7, 26, 11, 33, 25}

    Returns: 113

  16. {23, 18, 43, 36, 23, 50, 4, 12, 15, 22, 35, 16, 39, 49, 13, 29, 20, 12, 17, 46}

    Returns: 361

  17. {40, 7, 47, 30, 2, 41, 46, 39, 20, 34, 48, 49}

    Returns: 349

  18. {17, 15, 10, 27, 36, 45, 32, 4}

    Returns: 161

  19. {6, 9, 44}

    Returns: 56

  20. {27, 43, 7, 13, 12, 22, 24, 21, 2, 11, 39, 20, 50, 33, 14, 4, 4, 43, 31, 2, 2, 9, 7, 7, 43, 36, 24, 46, 20, 10, 23, 12, 41, 10, 2, 1, 8, 48, 35, 37}

    Returns: 496

  21. {45, 45, 46, 3, 9, 10, 31, 14, 45, 26, 25, 22, 41, 10}

    Returns: 295

  22. {31, 23, 9, 31, 44, 39, 30, 46, 40, 29, 34, 37, 1, 38, 5, 36, 30}

    Returns: 397

  23. {36, 41, 4, 39, 17, 25, 7, 9, 7, 22, 28, 14, 10, 38, 21, 21, 42, 44, 43, 15, 45, 17, 22, 24, 48, 20, 20, 47, 44, 35, 7, 12, 37, 36, 21, 40, 49, 13, 35, 14, 9, 29, 46, 26, 47, 4}

    Returns: 648

  24. {12, 20, 32, 46, 21, 39, 49}

    Returns: 198

  25. {35, 41, 33, 38, 29, 44, 21, 4, 34, 6, 12, 31, 46, 27, 35, 40, 41, 46, 46, 10, 16, 7}

    Returns: 467

  26. {42, 42, 27, 19, 11, 17, 2, 28, 35, 41, 45, 14, 19, 4, 36, 35, 3, 46, 19, 44, 3, 47, 23, 18, 37, 22, 6, 18, 40, 39, 9, 21, 6, 30, 46, 15, 3, 49}

    Returns: 565

  27. {33, 21, 48, 1, 13, 8, 39, 8, 30, 1, 44, 46, 14, 5, 18, 29, 50, 44, 14, 19, 22, 47, 32, 9, 9, 35, 37, 36, 15, 27, 26, 29, 24, 20, 10, 50, 17, 4}

    Returns: 539

  28. {20, 8, 31, 48, 17, 26, 40, 28, 11, 29, 39, 13, 39, 29, 3, 19, 13}

    Returns: 300

  29. {5, 21, 4, 6, 25, 50, 33, 46, 4, 48, 31, 5, 35, 23, 6, 2, 19, 50, 23, 34, 33, 26, 42, 16, 50, 1, 47, 29, 32, 49, 8, 7, 41, 33, 37, 11, 12, 16, 21, 32, 19, 18, 45, 38, 44, 48, 50, 16}

    Returns: 703

  30. {9, 24, 36, 50, 1, 34, 1}

    Returns: 143

  31. {30, 41, 24, 45, 12, 11, 8, 29, 35, 40, 34, 35, 44, 19, 19, 44, 27, 23, 20, 40, 27, 41, 22, 7, 35, 29, 6, 28, 34, 24, 39, 47, 27, 35, 22, 26, 15, 14}

    Returns: 560

  32. {13, 46, 20, 9, 22, 11, 39, 20, 24, 31, 9, 43, 13, 47, 5, 15, 45, 41, 35, 19, 28, 26, 13, 41, 15, 50, 41, 27, 13, 14, 16, 47, 38, 24, 37, 27, 48}

    Returns: 576

  33. {13, 18, 15, 42, 8, 8, 48, 16, 2, 25, 6}

    Returns: 157

  34. {42, 49, 48, 44, 32, 31, 27, 50, 14, 15, 26, 4, 49, 29, 14, 42, 42, 37, 10, 25, 1, 28, 10, 30, 21, 16, 28, 34, 18, 31, 36, 10, 33, 15}

    Returns: 562

  35. {17, 40, 13, 3, 49, 28, 39, 10, 40, 27, 45, 49, 6}

    Returns: 302

  36. {14, 35, 16, 25, 35, 40, 7, 31, 7, 16, 6, 9, 34, 50, 16, 14, 40, 30, 45, 1, 7, 24, 23, 20, 3, 12, 31, 5, 25, 44}

    Returns: 412

  37. {}

    Returns: 0

  38. {100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000}

    Returns: 4998775

  39. {16, 16, 2, 3, 2, 2, 16, 3, 10, 9, 8, 2, 10, 6, 15, 11, 6, 11, 12, 7, 14, 6, 5, 6, 4, 13, 11, 3, 2, 8}

    Returns: 90

  40. {10, 2, 7, 10, 3, 6, 5, 11, 14, 15, 3, 5, 9, 15, 16, 12, 7, 16, 12, 11, 14, 8, 16, 16, 17, 11, 12, 11, 8, 16}

    Returns: 113

  41. {10, 14, 4, 16, 8, 15, 5, 17, 4, 12, 18, 4, 4, 1, 4, 19, 4, 21, 3, 7, 1, 9, 10, 7, 1, 18}

    Returns: 115

  42. {23, 4, 4, 3, 1, 25, 25, 17, 25, 17, 11, 23, 19, 22, 7, 4, 1, 17, 22, 21, 8, 23, 11, 15, 5, 22, 17, 18, 8, 24, 2, 19, 10, 12, 13, 22, 12, 10, 9}

    Returns: 231

  43. {1}

    Returns: 1

  44. {9, 9, 9, 6, 7, 11, 5, 7, 4, 10, 7, 3}

    Returns: 41

  45. {7, 12, 7, 23, 22, 7, 9, 11, 12, 15, 25, 9, 1, 10, 24, 3, 26, 13, 25, 4, 16, 1, 26, 22, 7, 8, 4}

    Returns: 183

  46. {5, 1, 3, 3, 2, 4, 3, 3, 3, 5, 1, 4, 4, 4, 3, 3, 4, 6, 6}

    Returns: 16

  47. {1, 2, 3}

    Returns: 4

  48. {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 10, 10, 10, 10, 10, 10, 10, 50, 50, 1000, 1000, 24, 24, 24, 24, 24, 28, 30, 30 }

    Returns: 2264

  49. { }

    Returns: 0


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