Package g3601_3700.s3602_hexadecimal_and_hexatrigesimal_conversion

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3602 - Hexadecimal and Hexatrigesimal Conversion.

    Easy

    You are given an integer n.

    Return the concatenation of the hexadecimal representation of <code>n<sup>2</sup></code> and the hexatrigesimal representation of <code>n<sup>3</sup></code>.

    A hexadecimal number is defined as a base-16 numeral system that uses the digits 0 – 9 and the uppercase letters A - F to represent values from 0 to 15.

    A hexatrigesimal number is defined as a base-36 numeral system that uses the digits 0 – 9 and the uppercase letters A - Z to represent values from 0 to 35.

    Example 1:

    Input: n = 13

    Output: "A91P1"

    Explanation:

    • <code>n<sup>2</sup> = 13 * 13 = 169</code>. In hexadecimal, it converts to (10 * 16) + 9 = 169, which corresponds to "A9".

    • <code>n<sup>3</sup> = 13 * 13 * 13 = 2197</code>. In hexatrigesimal, it converts to <code>(1 * 36<sup>2</sup>) + (25 * 36) + 1 = 2197</code>, which corresponds to "1P1".

    • Concatenating both results gives "A9" + "1P1" = "A91P1".

    Example 2:

    Input: n = 36

    Output: "5101000"

    Explanation:

    • <code>n<sup>2</sup> = 36 * 36 = 1296</code>. In hexadecimal, it converts to <code>(5 * 16<sup>2</sup>) + (1 * 16) + 0 = 1296</code>, which corresponds to "510".

    • <code>n<sup>3</sup> = 36 * 36 * 36 = 46656</code>. In hexatrigesimal, it converts to <code>(1 * 36<sup>3</sup>) + (0 * 36<sup>2</sup>) + (0 * 36) + 0 = 46656</code>, which corresponds to "1000".

    • Concatenating both results gives "510" + "1000" = "5101000".

    Constraints:

    • 1 &lt;= n &lt;= 1000

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final String concatHex36(Integer n)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait