#K81822. Valid Xylon Binary Phrase

    ID: 35839 Type: Default 1000ms 256MiB

Valid Xylon Binary Phrase

Valid Xylon Binary Phrase

In the Xylon language, a valid phrase is defined as a binary string that can be segmented into tokens, where each token is either 1 or 110. The empty string is also considered valid.

More formally, a binary string \( s \) is valid if and only if it can be written as:

\( s = t_1t_2\cdots t_k \)

where every token \( t_i \in \{1,\; 110\} \).

inputFormat

The input consists of a single line containing a binary string \( s \).

outputFormat

Output a single line: True if the given string is a valid Xylon phrase, or False otherwise.

## sample
110
True