#!/usr/bin/env python3
import math
c2=[(15,90),(90,90),(70,55),(85,20),(120,20),(50,20),(125,90),(30,55),(15,20),(110,55),(50,90)]
c1=[(5,45),(5,55),(135,60),(135,40),(135,50)]
cir=[(x,y,20) for x,y in c2]+[(x,y,5) for x,y in c1]
def f(x):
 z=[]
 for a,b,r in cir:
  q=r*r-(x-a)**2
  if q>0:
   d=math.sqrt(q);z.append((max(0,b-d),min(110,b+d)))
 z.sort();s=0;lo=hi=None
 for a,b in z:
  if b<=a:continue
  if lo is None:lo,hi=a,b
  elif a>hi:s+=hi-lo;lo,hi=a,b
  elif b>hi:hi=b
 return s+(0 if lo is None else hi-lo)
def sim(a,b,fa,fm,fb):return(b-a)*(fa+4*fm+fb)/6
def integ(a,b,fa,fm,fb,S,eps,dep=30):
 m=(a+b)/2;l=(a+m)/2;r=(m+b)/2;fl,fr=f(l),f(r);sl,sr=sim(a,m,fa,fl,fm),sim(m,b,fm,fr,fb)
 if dep==0 or abs(sl+sr-S)<15*eps:return sl+sr+(sl+sr-S)/15
 return integ(a,m,fa,fl,fm,sl,eps/2,dep-1)+integ(m,b,fm,fr,fb,sr,eps/2,dep-1)
xs=sorted(set([0,140]+[max(0,min(140,a+d)) for a,b,r in cir for d in (-r,0,r)]))
A=0
for a,b in zip(xs,xs[1:]):
 fa,fm,fb=f(a),f((a+b)/2),f(b);A+=integ(a,b,fa,fm,fb,sim(a,b,fa,fm,fb),1e-7)
print(A,A/15400,'target',.88*15400,'margin',A-.88*15400)