# Big String

Time Limit: 1 Second Memory Limit: 32768 KB

We will construct an infinitely long string from two short strings: A = "^__^" (four characters), and B = "T.T" (three characters). Repeat the following steps:- Concatenate A after B to obtain a new string C. For example, if A = "^__^" and B = "T.T", then C = BA = "T.T^__^".
- Let A = B, B = C -- as the example above A = "T.T", B = "T.T^__^".

## Input

The input contains multiple test cases, each contains only one integer N (1 <= N <= 2^63 - 1). Proceed to the end of file.

## Output

For each test case, print one character on each line, which is the N-th (index begins with 1) character of this infinite string.

## Sample Input

1 2 4 8

## Sample Output

T . ^ TSubmit

Source: Zhejiang University Local Contest 2003