8044번 - Viruses 다국어

문제

Binary Viruses Investigation Committee detected, that certain sequences of zeroes and ones are codes of viruses. The committee isolated a set of all the virus codes. A sequence of zeroes and ones is called safe, if any of its segments (i.e. sequence of consecutive elements) is not a virus code. The committee is aiming at finding, whether an infinite, safe sequence of zeroes and ones exists.

Write a program, which:

• reads from the standard input virus codes,
• determines, whether an infinite, safe sequence of zeroes and ones exists
• writes the result to the standard output.

입력

The first line of the standard input consists of one integer n standing for the number of all virus codes. Each of the next n lines consists of one non-empty word composed from 0s and 1s - a virus code. The total length of all words does not exceed 30000.

출력

In the first and the only line of the standard output one should find a word:

• TAK - if an infinite, safe sequence of zeroes and ones exists.
• NIE - otherwise.

제한

힌트

For a set of codes {011,11,00000}, the sample infinite safe sequence is 010101… For a set of codes {01,11,00000} an infinite safe sequence of zeroes and ones does not exist.