880. Is Valid Number

0

Hard

Given a string s representing a number, determine if it is a valid number. A valid number can be split into the following components (in order):
1. A decimal number or an integer.
2. (Optional) An 'e' or 'E', followed by an integer.
A decimal number can be split into the following components (in order):
1. (Optional) A sign character (either '+' or '-').
The following formats are allowed:
* One or more digits, followed by a dot '.'.
* One or more digits, followed by a dot '.', followed by one or more digits.
* A dot '.', followed by one or more digits.
An integer can be split into the following components (in order):
* (Optional) A sign character (either '+' or '-').
* One or more digits.
For example, the following are valid numbers: ["2", "0089", "-0.1", "+3.14", "4.", "-.9", "2e10", "-90E3", "3e+7", "+6e-1", "53.5e93", "-123.456e789"], while the following are not valid numbers: ["abc", "1a", "1e", "e3", "99e2.5", "--6", "-+3", "95a54e53"].
Given a string s, return "YES" if s is a valid number.

Input Format

The input consists of a single line containing a string s.

Output Format

Print "YES" if s is a valid number, otherwise print "NO".

Example

Input

123.45

Output

YES

Constraints

1 <= s.length <= 10000

Loading...

View Submissions

Console