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# Seats

Problem Description

There is a row of seats represented by string A. Assume that it contains N seats adjacent to each other.
There is a group of people who are already seated in that row randomly. i.e. some are sitting together & some are scattered.

An occupied seat is marked with a character 'x' and an unoccupied seat is marked with a dot ('.')

Now your target is to make the whole group sit together i.e. next to each other, without having any vacant seat between them in such a way that the total number of hops or jumps to move them should be minimum.

In one jump a person can move to the adjacent seat (if available).

Problem Constraints

1 <= N <= 1000000
A[i] = 'x' or '.'

Input Format

The first and only argument is a string A of size N.

Output Format

Return an integer denoting the minimum number of jumps required.

Example Input

Input 1:

` A = "....x..xx...x.."`

Input 2:

` A = "....xxx"`

Example Output

Output 1:

` 5`

Output 2:

` 0`

Example Explanation

Explanation 1:

``` Here is the row having 15 seats represented by the String (0, 1, 2, 3, ......... , 14)
. . . . x . . x x . . . x . .
Now to make them sit together one of approaches is -
. . . . . . x x x x . . . . .
Steps To achieve this:
1) Move the person sitting at 4th index to 6th index: Number of jumps by him =   (6 - 4) = 2
2) Bring the person sitting at 12th index to 9th index: Number of jumps by him = (12 - 9) = 3
So, total number of jumps made: 2 + 3 = 5 which is the minimum possible.

If we other ways to make them sit together but the number of jumps will exceed 5 and that will not be minimum.
```

Explanation 2:

` They are already together. So, the cost is zero.`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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