# Long Swaps

You have a string $s$
and you may modify it by making *long swaps* of
its letters. Two letters can be swapped if their positions
differ by at least $k$.
That is, you may swap the $i$-th letter with the $j$-th letter in $s$ if $|i - j| \geq k$. Is it possible to
sort all the letters in $s$ increasingly, if you are allowed
to swap any number of times (possibly zero)?

## Input

The first line has a string $s$ ($2 \leq |s| \leq 100$) and an integer $k$ ($1 \leq k \leq |s| - 1$), separated by a single space. The string $s$ consists of only lowercase letters.

## Output

If it is possible to sort the letters increasingly, output
“`Yes`”. Otherwise output “`No`”.

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

prognova 4 |
Yes |

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

helloworld 6 |
No |