Is It a Number

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 65536/32768 K (Java/Others)

Description

In some programming languages(like C/C++), we define numbers like this:

number -> digits optional_fraction optional_exponent
optional_fraction -> [empty] | .digits
optional_exponent -> [empty] | E digits | E - digits
digits -> digit | digits digit
digit -> [0-9]

Given a string, you have to tell whether it is a legal number.

Input

The first line of input contains an integer T(1<=T<=100) which indicate the number of test cases. Then T test cases follow. Each test case contains one line. Each line contains a string whose length will not exceed 100.

Note: there are no spaces and tabs at the begin and the end of the string.

Output

For each test case, you have to tell whether the string is a legal number. If it is a legal number, output "YES" in a single line, otherwise, output "NO" in a single line.

Sample Input

5 0123 123.456 0.456E-5 123 456 0.456EF

Sample Output

YES YES YES NO NO

Hint

lxj

Source

HDU 2006-5 Programming Contest

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