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
