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Competition Arena > PluCodeGenerator
SRM 255 · 2005-07-28 · by Andrew_Lazarev · Dynamic Programming
Class Name: PluCodeGenerator
Return Type: int
Method Name: countInvalidCodes
Arg Types: (int)
Problem Statement

Problem Statement

You are creating a storage management system. This system should create new PLU codes for new items. The requirements state that a PLU code must be a positive integer that does not contain three consecutive equal digits. For example, PLU codes 11211, 73399, 655 and 30 are valid PLU codes, but 11111, 73339, 555 and 3000 are invalid (they contain 111, 333, 555 and 000 respectively). For statistical purposes you want to count the number of invalid PLU codes.

You will be given an int N. You should return the number of invalid PLU codes that are less than N.

Constraints

  • N will be between 1 and 1000000000, inclusive.
Examples
0)
111
Returns: 0

The first invalid PLU code is 111, so there are no invalid PLU codes less than 111.

1)
556
Returns: 5

The invalid PLU codes less than 556 are 111, 222, 333, 444 and 555.

2)
1113
Returns: 13

The invalid PLU codes less than 1113 are 111, 222, 333, 444, 555, 666, 777, 888, 999, 1000, 1110, 1111 and 1112.

3)
7346556
Returns: 323647
4)
11
Returns: 0

Submissions are judged against all 103 archived test cases, of which 5 are shown here. Case numbers match the judge’s.

Coding Area

Language: C++17 · define a public class PluCodeGenerator with a public method int countInvalidCodes(int N) · 103 test cases · 2 s / 256 MB per case

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