A "0/1 string" is a string in which every character is either 0 or 1. There are two operations that can be performed on a 0/1 string:
- switch: Every 0 becomes 1 and every 1 becomes 0. For example, "100" becomes "011".
- reverse: The string is reversed. For example, "100" becomes "001".
Consider this infinite sequence of 0/1 strings:
...
.
You need to figure out the Kth character of , where googol = .