How do you solve Hexadecimal and Hexatrigesimal Conversion on LeetCode?

Hexadecimal and Hexatrigesimal Conversion (LeetCode #3602) can be solved using Brute Force or Optimal Solution. The optimal approach is Optimal Solution with O(log n) time complexity and O(n) space complexity. Key insight: Understanding numeral systems helps in conversions.

What is the time complexity of Hexadecimal and Hexatrigesimal Conversion?

The optimal solution for Hexadecimal and Hexatrigesimal Conversion runs in O(log n) time and uses O(n) space. The conversion process is logarithmic in relation to the number of digits in the result, making it efficient.

What is the brute force solution for Hexadecimal and Hexatrigesimal Conversion?

The brute force approach for Hexadecimal and Hexatrigesimal Conversion is Brute Force, with O(n²) time complexity and O(1) space complexity. Convert n squared to hexadecimal and n cubed to hexatrigesimal separately, then concatenate the results. This approach directly computes the values without optimization. The optimal Optimal Solution approach improves this to O(log n).

What algorithm or data structure is used to solve Hexadecimal and Hexatrigesimal Conversion?

Hexadecimal and Hexatrigesimal Conversion uses the following concepts: Math, String. The recommended patterns to study are: Base Conversion, String Manipulation.

What are the interview tips for Hexadecimal and Hexatrigesimal Conversion?

Clarify the problem requirements. Discuss your thought process aloud. Test edge cases during coding.

What are common mistakes when solving Hexadecimal and Hexatrigesimal Conversion?

Confusing base values during conversion. Not handling edge cases like zero.

#3602

Hexadecimal and Hexatrigesimal Conversion

Easy

MathStringBase ConversionString Manipulation

LeetCode ↗

Approaches

Brute ForceOptimal

Complexity Comparison

	Brute Force	Optimal Solution★
Time	O(n²)	O(log n)
Space	O(1)	O(n)

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Intuition

Time O(log n)Space O(n)

Use a single function to convert numbers to any base, reducing redundancy. This approach efficiently computes the required bases in one go.

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Algorithm

3 steps

1Step 1: Define a function to convert an integer to any base (16 for hex, 36 for hexatrigesimal).
2Step 2: Compute n squared and n cubed.
3Step 3: Use the conversion function for both results and concatenate.

solution.py1 lines

1def to_base(n, b): chars = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'; res = ''; while n: res = chars[n % b] + res; n //= b; return res; def convert(n): return to_base(n*n, 16) + to_base(n*n*n, 36)

ℹ

Complexity note: The conversion process is logarithmic in relation to the number of digits in the result, making it efficient.

1Understanding numeral systems helps in conversions.
2Efficient base conversion can reduce redundancy.

Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.