Score : $200$ points

Problem Statement

You are given a string $S$ consisting of uppercase English letters and digits. Determine whether $S$ satisfies the following condition.

• $S$ is a concatenation of the following characters and string in the order listed.- An uppercase English letter
  • A string of length $6$ that is a decimal representation of an integer between $100000$ and $999999$, inclusive
  • An uppercase English letter
• An uppercase English letter
• A string of length $6$ that is a decimal representation of an integer between $100000$ and $999999$, inclusive
• An uppercase English letter

Constraints

• $S$ consists of uppercase English letters and digits.
• The length of $S$ is between $1$ and $10$, inclusive.

Input

The input is given from Standard Input in the following format:

$S$

Output

If $S$ satisfies the condition in the problem statement, print Yes; otherwise, print No.

Q142857Z

Yes

$S$ is a concatenation of Q, 142857, and Z in this order. Q and Z are uppercase English letters, and 142857 is a string of length $6$ that is a decimal representation of an integer between $100000$ and $999999$, so $S$ satisfies the condition.

AB912278C

No

AB is not an uppercase English letter, so $S$ does not satisfy the condition.

X900000

No

The last character of $S$ is not an uppercase English letter, so $S$ does not satisfy the condition.

K012345K

No

012345 is not a string of length $6$ that is a decimal representation of an integer between $100000$ and $999999$, so $S$ does not satisfy the condition.