Problem9802--ABC264 —— D - "redocta".swap(i,i+1)

9802: ABC264 —— D - "redocta".swap(i,i+1)

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

You are given a string $S$ that is a permutation of `atcoder`.  
On this string $S$, you will perform the following operation $0$ or more times:

-   Choose two adjacent characters of $S$ and swap them.

Find the minimum number of operations required to make $S$ equal `atcoder`.

Input

Input is given from Standard Input in the following format:

```
$S$
```

Output

Print the answer as an integer.

Constraints

-   $S$ is a string that is a permutation of `atcoder`

Sample 1 Input

catredo

Sample 1 Output

8
You can make S equal atcoder in 8 operations as follows:
catredo → [ac]tredo → actre[od] → actr[oe]d → actro[de] → act[or]de → acto[dr]e → a[tc]odre → atcod[er]
This is the minimum number of operations achievable.

Sample 2 Input

atcoder

Sample 2 Output

0

Sample 3 Input

redocta

Sample 3 Output

21

Source/Category