Match Game

Match sticks can be used to form digital numbers. The
arrangement of matches that forms each digit between
‘`0`’ and ‘`9`’ is
illustrated in the figure.

You are given two sequences of digits $X$ and $Y$. There are matches that have been
arranged to form the digits in $X$. Can you move *exactly* one match from them, so that the resulting
matches form the other sequence $Y$?

The input contains one line with two sequences of digits
$X$ and $Y$. It is guaranteed that
$X$ and $Y$ have the same length but are
different sequences. Each sequence contains digits between
‘`0`’ and ‘`9`’ and has at
least one and no more than $12$ digits. A sequence may contain
leading zeros.

Output “`yes`” if it is possible to move
exactly one match to change $X$ into $Y$. Otherwise output “`no`”.

Sample Input 1 | Sample Output 1 |
---|---|

60 58 |
yes |

Sample Input 2 | Sample Output 2 |
---|---|

046 040 |
yes |

Sample Input 3 | Sample Output 3 |
---|---|

1178 1140 |
no |