Determined to uncover the truth, Samantha gathered a team of experts and began to study the numbers. After weeks of research, they finally cracked the code.
( L=2 ): ( S^2 ) 2 digits base3 (3 to 8 decimal). Try S=2→4 decimal (11 base3) sum digits 2, 2^2=4 works → 4 decimal = 11_3 is Badulla Badu. S=3→9 decimal (100_3) 3 digits, no. So 4 works. Badulla Badu Numbers--------
For further study, one could explore other bases ( b ) systematically, or relax the definition to allow different exponents for sum and length. Determined to uncover the truth, Samantha gathered a