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## Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

## Statement

## Goal

Swatch Internet Time is a decimal time system introduced in 1998 by Swatch. It is a universal time, expressed as a number between 0 and 1000 named**beats**representing the time in Biel (UTC+01:00), prefixed by the

**You are provided with a time and associated timezone**, of the format

`HH`

`MM`

`SS`

`hh`

`mm`(e.g.

**and must provide the equivalent in beats**, with the format

`B`

`BB`(e.g.

**Step 1.**You must obtain the Biel (UTC+01:00) local time from the original time and timezone.

**Step 2.**You must convert the resulting Biel local time to beats, using the following formula:

`HH`

`MM`

`SS`

**Step 3.**You must round the result to two decimal places (using half-up rounding), and always present the two decimal digits, e.g.

As an example, let's try to convert

**Step 1.**We need to convert the time from UTC+05:30 to UTC+01:00. In order to do this, we need to remove 4:30 from the original time, which means we obtain

**Step 2.**We compute the number of beats, by computing

**Step 3.**We round the result to two decimal places using half-up rounding, which gives us

The expected result with this example is

**Note:**Beware of rounding! Your language likely does not use half-up rounding by default, but half-even a.k.a banker's rounding (C/C++, Python, Lua), half-down (JavaScript), and so on, and some tests require the correct rounding algorithm to be set!

**Note:**Forget about shenanigans such as leap seconds, daylight savings or any other timezone weirdness, stick to the steps presented above!

Input

**First line:**

`rawtime`being the time with timezone relative to UTC.

Output

**First line:**Time in beats, of the format

`B`

`BB`.

Constraints

length(

`rawtime`) = 18Example

Input

02:24:00 UTC+01:00

Output

@100.00

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