Find the Longest Common Digit Prefix Across Two Arrays
Given two arrays of positive integers, convert each integer to its decimal string representation. Find the maximum length of a common prefix between any number in the first array and any number in the second array. The comparison is string-based and decimal. Return the maximum prefix length.
Constraints & Assumptions:
- Numbers are positive integers.
- Prefix comparison is string-based decimal comparison.
- Return the maximum prefix length, not the pair itself.
- Input sizes may be large enough to require better than all-pairs comparison.
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Core dilemma
Efficiently finding the longest common prefix between elements of two potentially large sets of strings, avoiding a brute-force O(N*M*L) comparison where N and M are array sizes and L is max string length.
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Find the Longest Common Digit Prefix Across Two Arrays
Given two arrays of positive integers, convert each integer to its decimal string representation. Find the maximum length of a common prefix between any number in the first array and any number in the second array. The comparison is string-based and decimal. Return the maximum prefix length.
Constraints & Assumptions:
- Numbers are positive integers.
- Prefix comparison is string-based decimal comparison.
- Return the maximum prefix length, not the pair itself.
- Input sizes may be large enough to require better than all-pairs comparison.