Bishop's Move

A bishop on a chess-board can only move along diagonals.

Each position on the board is given by two symbols: a capital letter for the column, from A to H, and a digit for the row, from 1 to 8. For example, C4 is the position in column C, row 4.

Accept two positions as input, start and end. Print YES if a bishop at start can move to end in exactly one move, and NO otherwise.

Input

Two lines: the starting position and the ending position.

Output

A single line: YES or NO.

Example

Input:

C4
F7

Output:

YES

Your task

Write a complete program: read the input with input() and print the result with print().

Example

Input

C4
F7

Output

YES