#C8732. Clock Angle Calculator

    ID: 52747 Type: Default 1000ms 256MiB

Clock Angle Calculator

Clock Angle Calculator

Given a time on a 12-hour analog clock, compute the smaller angle between the hour and minute hands.

The hour hand moves continuously, and its angle in degrees is given by:

\( \text{hour_angle} = 30 \times \left( (h \mod 12) + \frac{m}{60} \right) \)

The minute hand moves in discrete increments, and its angle is:

\( \text{minute_angle} = 6 \times m \)

The angle between the two hands is the absolute difference between these two angles. However, if this angle is greater than \(180^\circ\), the smaller angle is its supplementary \(360^\circ - \text{angle}\).

Your task is to calculate and output the smaller angle between the two hands, rounded to two decimal places.

inputFormat

The input consists of a single line with two integers separated by a space:

  • h (an integer in the range 0 to 12, where 12 is treated as 0 in calculations)
  • m (an integer in the range 0 to 59)

For example: 3 15

outputFormat

Output the smaller angle between the hour and minute hands in degrees, rounded to two decimal places. For instance, for input 3 15, the output should be 7.50.

## sample
3 15
7.50

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