Statistics

Problem Statement for "DigitMask"

Problem Statement

You will be given a list of patterns. Each pattern will contain only digits ('0'-'9'), question marks ('?'), and may potentially begin or end (but not both) with a hyphen ('-'). You must return the number of strings of length len that match all of the patterns. A digit must be matched with the same digit. A question mark can be matched with any digit. If the pattern ends with a hyphen, the pattern is describing a prefix. Similarly, if the pattern begins with a hyphen it describes a suffix. If there are no hyphens, the matched string must have the same length as the pattern. Said differently, a hyphen matches 0 or more digits.

Definition

Class:
DigitMask
Method:
howMany
Parameters:
String[], int
Returns:
int
Method signature:
int howMany(String[] patterns, int len)
(be sure your method is public)

Constraints

  • patterns will contain between 1 and 50 elements, inclusive.
  • Each element of patterns will contain between 1 and 50 characters, inclusive.
  • Each character in patterns will be a digit ('0'-'9'), a question mark ('?'), or a hyphen ('-');
  • Each element of patterns will contain at most 1 hyphen, and it must occur at the beginning or the end of the element.
  • len will be between 1 and 50, inclusive.
  • The return value will be between 0 and 1,000,000,000, inclusive.
  • No element of patterns will be "-" (quotes for clarity).

Examples

  1. {"???"}

    3

    Returns: 1000

    Every 3 digit string is possible.

  2. {"9??","??7"}

    3

    Returns: 10

    The first digit must be 9 and the last must be 7.

  3. {"9??","??7"}

    4

    Returns: 0

    The patterns say that the string must have length 3.

  4. {"9??-","-???7"}

    4

    Returns: 100

    The first pattern says the string begins with a 9 and has at least 3 digits. The second pattern says the string ends with a 7 and has at least 4 digits.

  5. { "??????????????????????????????????????????????????", "?????????????????????????????????????????????????9", "?????????????????????????????????????????????????8" }

    50

    Returns: 0

  6. { "??????????????????????????????????????????????????" }

    49

    Returns: 0

  7. { "-?????" }

    4

    Returns: 0

  8. {"????-"}

    3

    Returns: 0

  9. {"12345678901234567890", "????????????????????" }

    20

    Returns: 1

  10. {"1234567890??????????", "??????????1234567890" }

    20

    Returns: 1

  11. {"1234567890??????????", "123456789??????????1" }

    20

    Returns: 1000000000

  12. { "123456-", "-123456" }

    6

    Returns: 1

  13. {"777-","-777"}

    3

    Returns: 1

  14. {"777-","-777"}

    4

    Returns: 1

  15. {"777-","-777"}

    5

    Returns: 1

  16. {"777-","-777"}

    6

    Returns: 1

  17. {"777-","-777"}

    7

    Returns: 10

  18. {"777-","-777"}

    8

    Returns: 100

  19. {"777-","-777"}

    2

    Returns: 0

  20. { "????????????????????-", "-????????????????????", "9??????????????????????????", "?8?????????????????????????", "??7????????????????????????", "???6???????????????????????", "????5??????????????????????", "?????4?????????????????????", "??????3????????????????????", "?????432???????????????????", "?????43210123456?-", "-98765"}

    27

    Returns: 1000000

  21. { "??????????????????????????????", "12345678901234567?????????????", "?????????????????1234567890123" }

    30

    Returns: 1

  22. {"??"}

    1

    Returns: 0

  23. { "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890" }

    50

    Returns: 1

  24. { "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890", "12345678901234567890123456789012345678901234567890" }

    50

    Returns: 1

  25. {"???????7-", "-8???????"}

    15

    Returns: 0

  26. {"???3-","-3???"}

    7

    Returns: 1000000

  27. {"???3-","-4???"}

    8

    Returns: 1000000

  28. {"???3-","-4???"}

    7

    Returns: 0

  29. {"1234567-","-1234567"}

    7

    Returns: 1

  30. {"1234567-","-1234567"}

    14

    Returns: 1

  31. {"1234567-","-1234567"}

    8

    Returns: 0

  32. {"1234", "1234" }

    4

    Returns: 1

  33. {"1234" }

    3

    Returns: 0

  34. {"5", "5" }

    1

    Returns: 1

  35. {"-???" }

    3

    Returns: 1000

  36. {"-9", "-9?", "-??9", "-?9", "9?9-" }

    8

    Returns: 10000

  37. {"9999", "999" }

    3

    Returns: 0

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