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ZOJ Problem Set - 1633
Big String

Time Limit: 2 Seconds      Memory Limit: 65536 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^__^".
Your task is to find out the n-th character of this infinite string.


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
.
^
T



Author: CHENG, Long
Source: Zhejiang University Local Contest 2003
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