Problem Statement |
| Consider the set of numbers formed by taking every number between low and high, inclusive, and sorting the digits of each number in non-increasing order (the numbers are initially written without any extra leading zeros). Return the number of distinct numbers in this new set. |
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Definition |
| Class: | DistinctDigits | Method: | count | Parameters: | int, int | Returns: | int | Method signature: | int count(int low, int high) | (be sure your method is public) |
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Constraints |
- | high will be between 1 and 100,000,000 (10^8), inclusive. |
- | low will be between 1 and high, inclusive. |
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Examples |
0) | |
| | Returns: 20 | All of the integers between 1 and 20 have distincts sets of digits. |
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1) | |
| | Returns: 29 | "21" has the same digits as "12" when sorted. All the rest are still distinct. |
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