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Letter Combinations of a Phone Number

Detailed guide and Python implementation for the 'Letter Combinations of a Phone Number' problem.

Problem Statement

Easy

Given a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent. Return the answer in any order.

A mapping of digits to letters (just like on the telephone buttons) is given below. Note that 1 does not map to any letters.

2: abc, 3: def, 4: ghi, 5: jkl, 6: mno, 7: pqrs, 8: tuv, 9: wxyz

Implement a function letterCombinations(digits: str) -> list.

Constraints
  • 0 <= digits.length <= 4
  • digits[i] is a digit in the range ['2', '9']

Examples

Example 1
Input
"23"
Output
["ad","ae","af","bd","be","bf","cd","ce","cf"]
Explanation

Digit 2 maps to 'abc' and digit 3 maps to 'def'. All combinations of one letter from each digit are generated.

Example 2
Input
""
Output
[]
Explanation

Empty input produces no combinations.

Example 3
Input
"2"
Output
["a","b","c"]
Explanation

Digit 2 maps to 'abc'.

Need a Hint?
Consider using Backtracking-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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