Finding the K-th Bit in Recursively Generated Binary Strings
Problem Analysis
Given an integer n, a binary string sequence is defined where:
S1 = "0"
Si = Si-1 + "1" + reverse(invert(Si-1)) for i > 1
The task is to find the k-th character in Sn.
Key Observations
Examining the pattern reveals a recursive structure:
S1 has length 1
S2 has length 3
S3 has length 7
In general, |Sn| ...
Posted on Mon, 25 May 2026 20:54:38 +0000 by worldworld