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Solution: Letter Combinations of a Phone Number

Explore how to implement a backtracking algorithm to produce all valid letter combinations for a given digit string based on phone keypad mappings. Understand the subset pattern, recursion depth, and to manage time and space complexity while handling multiple digits.

Statement

Given a string containing digits from 2 to 9 inclusive, with the possibility of each digit appearing multiple times, return all possible letter combinations that the number could represent. Return the answer in any order.

The illustration below shows the mapping of digits to letters in a telephone dial pad.

Note: The number 11 on the telephone dial pad does not correspond to any letter, so the input string only contains digits from 22 to 99.

Constraints:

  • 00 \leq digits.length 4\leq 4

  • digits[i] is a digit in the range [2,9][2, 9]

Pattern: Subsets

This problem lends itself naturally to the subsets pattern. To solve this problem, we can use a backtracking algorithm as the solution template to correctly generate all the possible combinations.

Solution

Since we need to explore different choices for each digit and generate valid combinations, we can use the subset technique with backtracking. It involves iterating through each ...