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Pasha got a very beautiful string s for his birthday, the string consists of lowercase Latin letters. The letters in the string are numbered from $1$ to $|s|$ from left to right, where $|s|$ is the length of the given string. Pasha didn't like his present very much so he decided to change it. After his birthday Pasha spent m days performing the following transformations on his string — each day he chose integer ai and reversed a piece of string (a segment) from position ai to position $|s| - ai + 1$. It is guaranteed that $2·ai \leq |s|$. You face the following task: determine what Pasha's string will look like after m days.

The first line of the input contains Pasha's string s of length from 2 to 2·$10^5$ characters, consisting of lowercase Latin letters. The second line contains a single integer $m (1 \leq m \leq 10^5)$ — the number of days when Pasha changed his string. The third line contains m space-separated elements $ai (1 \leq ai) (2·ai \leq |s|)$ — the position from which Pasha started transforming the string on the $i$-th day.

In the first line of the output print what Pasha's string s will look like after m days.

```
abcdef
3
1 2 3
```

```
fbdcea
```