Clock

Time Limit: Java: 1000 ms / Others: 1000 ms

Memory Limit: Java: 32768 KB / Others: 32768 KB

Description

It is known that, in one day the hour hand and the minute hand of a clock meet 22 times. But in one day, how long is the time that the angle between the hour hand and the minute hand is no more than x degrees?

Note that in this problem, both hands move smoothly (they don't "jump").

Input

The first line of the input is an integer indicating the number of test cases (no more than 200).

For each case, there is only one integer x (0 <= x <= 180) giving the angle.

Output

For each case, output for how many seconds in one day that the angle between the hour hand and the minute hand is no more than x degrees. You need to print two digits after the decimal point (as the format in sample).

Sample Input

3
0
180
7

Sample Output

0.00
86400.00
3360.00

Hint

None

Source

The 10th Zhejiang University Programming Cont

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