Problem A. Amazon ≡

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 Author: Антон Карабанов Time limit: 1 sec Input file: Standard input Memory limit: 512 Mb Output file: Standard output

Statement

Fantasy chess is a variant of chess composition. Puzzles of this variant contain changes to some of the accepted rules of the game or utilize unusual pieces or boards.

Amazon is a fantasy chess piece which can move as either a queen or a knight. It is usually represented on diagrams as a horse with the crown. You can see all possible moves of this piece on a picture below. Amazon is so strong and independent that it can checkmate the enemy king without the help of another friendly piece.

White amazon and black king are positioned on a normal chess board. Determine whether the king is checkmated.

Input format

First line of input contains two integers separated by space: x1 and y1 — coordinates of the white amazon. Second line contains coordinates of the black king x2 and y2 in the same format. Piece positions are guaranteed to be different.

Output format

Output Yes or No — answer to the problem's question.

Constraints

1 ≤ x1, x2, y1, y2 ≤ 8

Notes on the samples

See the picture. In the second sample the king can capture the amazon.

Sample tests

No. Standard input Standard output
1
7 6
7 8
Yes
2
6 7
7 8
No

0.152s 0.016s 17