# Capture the knight

Given an chessboard, one white knight at position and one black knight at position, you are asked if one can capture the other in 1 or 2 moves.
A knight captures another knight if it moves to the same location as the other one.
As a reminder, in one move, the knight moves 2 cells in one direction and 1 cell in another perpendicular to the first direction. So, it can move 2 cells up and 1 cell left or right. It can move 2 cells right and 1 cell up or down. It can move 2 cells down and one cell left or right, etc.
In this problem, the second knight stays in the same place, while the first one does exactly two moves.

#### Input

The input contains 2 lines. The first line contains two coordinates indicating the first knight , while the second line contains the coordinates of the second knight (1 β€ β€ 8). Itβs guaranteed that is different from .

#### Output

The program should print Yes in case the first knight can capture the second one in 1 or 2 moves and No otherwise.

#### Examples

 Input Output 1 1 1 3 Yes 1 1 8 8 No

#### Explanation

β β
Impossible in 2 moves
Β

#### Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB