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Solution: Find the Length of the Longest Common Prefix

Explore how to determine the longest common prefix length shared between pairs of integers from two arrays using hash maps. This lesson guides you through creating prefix sets for one array and checking prefixes from the other to optimize search time and avoid direct pairwise comparisons.

Statement

You are given two arrays of positive integers, arr1 and arr2.

A prefix of a positive integer is an integer formed by one or more of its digits, beginning from its leftmost digit. For example, 123 is a prefix of 12345, whereas 234 is not.

A common prefix of two integers a and b is an integer c that is simultaneously a prefix of both a and b. For example, 5655359 and 56554 share common prefixes 565 and 5655, while 1223 and 43456 share none.

For every pair (x, y) where x belongs to arr1 and y belongs to arr2, determine the length of the longest common prefix shared between them.

Return the length of the longest common prefix across all such pairs. If no common prefix exists for any pair, return 00.

Note: Common prefixes between elements within the same array do not count.

Constraints:

  • 11 \leq ...