You are playing paintball on a $1000\times 1000$ square field. A
number of your opponents are on the field hiding behind trees
at various positions. Each opponent can fire a paintball a
certain distance in any direction. Can you cross the field
without being hit by a paintball?
Assume that the southwest corner of the field is at
$(0,0)$ and the northwest
corner at $(0,1000)$.
Input
The input consists of a line containing $1\le n \le 1000$, the number of
opponents. A line follows for each opponent, containing three
real numbers: the $(x,y)$
location of the opponent and its firing range. The opponent can
hit you with a paintball if you ever pass within his firing
range.
You must enter the field somewhere between the southwest and
northwest corner and must leave somewhere between the southeast
and northeast corners.
Output
If you can complete the trip, output four real numbers with
two digits after the decimal place, the coordinates at which
you may enter and leave the field, separated by spaces. If you
can enter and leave at several places, give the most northerly.
If there is no such pair of positions, print a line containing
“IMPOSSIBLE”.
Sample Input 1 
Sample Output 1 
3
500 500 499
0 0 999
1000 1000 200

0.00 1000.00 1000.00 800.00
