There is a barbecue rack which has

slots with position

on the number axis.
There are

kebabs, and the width of the

th kebab is
with at most 4 decimal places reserved.
The iron stick is inserted from the middle of the kebab, that is,

on the left and

on the right of the iron stick
We can insert the iron tag into the slot, and the barbecue rack will automatically rotate the iron tag (at most one iron tag is embedded in each slot)
Inserting a iron tag into the

th kebab, and put the iron tag in the slot at position

will occupy the interval
There are two requirements.
1. The occupied interval must be a subinterval of

.
2. For any two occupied intervals, the length of the intersection of intervals cannot be greater than 0 (i.e. there is no confict between interval

and interval

).
Please output a maximum number of kebabs can be roasted at the same time.