#36Easy

Chessboard colours

Time: 1 s · Memory: 256 MB

Conditionals

Statement

The files (columns) and ranks (rows) of a chessboard are numbered from $1$ to $8$ ; square $(1, 1)$ is black. Two squares are given: $(x_1, y_1)$ and $(x_2, y_2)$ . Are they the same colour?

Input format

A single line with four integers $x_1$ , $y_1$ , $x_2$ , $y_2$ ( $1 \le x_i, y_i \le 8$ ).

Output format

YES if the squares are the same colour, NO otherwise.

Examples

Input

1 1 2 2

Output

YES

Input

1 1 1 2

Output

NO

Note

Neighbouring squares alternate colours, so a square's colour is given by the parity of $x + y$ : even means black.

Chessboard colours

Time: 1 s · Memory: 256 MB

Conditionals

Statement

The files (columns) and ranks (rows) of a chessboard are numbered from $1$ to $8$ ; square $(1, 1)$ is black. Two squares are given: $(x_1, y_1)$ and $(x_2, y_2)$ . Are they the same colour?

Input format

A single line with four integers $x_1$ , $y_1$ , $x_2$ , $y_2$ ( $1 \le x_i, y_i \le 8$ ).

Output format

YES if the squares are the same colour, NO otherwise.

Examples

Input

1 1 2 2

Output

YES

Input

1 1 1 2

Output

NO

Note

Neighbouring squares alternate colours, so a square's colour is given by the parity of $x + y$ : even means black.