1373 -- Basic
Time Limit :1000 MS Memory Limit :65536 KB
Accepts : 9 Submits : 51
User Accepts : 7 User Submits : 11
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Description

The programming language Ada has integer constants that look like this: 123, 8#123#, 16#abc#. These constants represent the integers 123, 83 (123 base 8) and 2739 (abc base 16). More precisely, an integer may be a decimal integer given as a sequence of one or more digits less than 10, or it may be an integer to some specific base, given as the base followed by a sequence of one or more digits less than the base enclosed by # symbols. Lower case letters from a through f are used as the digits representing 10 through 15. In Ada, the base, if specified, must be a sequence of decimal digits. For this problem, however, the base may be of any form described above so long as it represents an integer between 2 and 16 inclusive.

Input

The first line of input contains a positive integer n. n lines follow.Input lines contain no spaces and are between 1 and 80 characters in length.
 

Output

OFor each line of input, output a line "yes" if it is a valid integer constant according to the above rules; otherwise output a line containing "no".

Sample Input

5
2#101#
2#101##123#
17#abc#
16#123456789abcdef#
16#123456789abcdef#123456789abcdef#

Sample Output

yes
yes
no
yes
no

Source

Waterloo local 2003.01.25
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