Interview Verified
Google r2 onsite (early career)
Problem Statement
you're in a city where cars uses special plat formats. The x-th license plate in a sequence that transitions through the following formats as each capacity is exhausted:
1. 00000 - 99999
2. A0000 - Z9999
3. AA000 - ZZ999
4. AAA00 - ZZZ99
5. AAAA0 - ZZZZ9
6. AAAAA - ZZZZZ
You're given a function f(x) and you need to output the xth license plate
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solution:
I solved this by treating each format as a distinct capacity bucket. i showed the interviewer the capacity of each stage using the formula (26^n * 10^m) and subtracted these from x until the remaining index fell within a specific range.
implementation details & edge cases:
- padding: Enforced leading zeros on numeric segments to maintain the fixed 5-character length.
- character mapping: Used base-26 conversion for alpha parts, ensuring that "zero" maps to 'A' and padding where necessary to prevent string length mismatches.