Azeroth is a world full of fantasy. In Azeroth, there are hours in a day and minutes in an hour.

You found a clock made from Azeroth. The clock has two hands --- the hour hand and the minute hand. The two hands point to the same direction at the start of a day. Either hand rotates at a constant speed. The hour hand goes around a full circle in hours and the minute hand goes around a full circle in minutes. Surprisingly, it is night in Azeroth if and only if the angle between the two hands is less than or equal to .
Now you're wondering, given , how many integral moments (i.e., integer minutes since the start of the day) are there, such that the angle between the two hands is less than or equal to .

The only line of the input contains three integers   and  , representing the number of hours in a day and the number of minutes in an hour, and the limit of the angle in radians, respectively.

Print an integer representing the answer.

5 5 4

9

3 5 1

3