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.
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.
No — answer to the problem's question.
1 ≤ x1, x2, y1, y2 ≤ 8
See the picture. In the second sample the king can capture the amazon.