python3 <<'PY'
import math
a=0.25; b=1.0/12
def Arows(y1,y2):
    q=a+b-y1; q2=b+a-y2
    return math.sqrt(a*a*q)+math.sqrt(max(0,b*q*(q-a)))+math.sqrt(b*b*q2)+math.sqrt(max(0,a*q2*(q2-b)))
def Acols(y1,y2):
    q=a+b; q2=2*a+2*b-y1-y2-q
    return math.sqrt(q)*(a+b)+math.sqrt(max(0,q2))*(math.sqrt(max(0,b*(b-y1)))+math.sqrt(max(0,a*(a-y2))))
def BC(y1,y2):
    best=-1
    for j in range(201):
      y3=a*j/200
      beta=a+b-y3; B=math.sqrt(beta)*(b+math.sqrt(max(0,a*(a-y3))))
      gam=y1+y2+y3; C=math.sqrt(gam)*(math.sqrt(max(0,b*y1))+math.sqrt(max(0,a*y2))+math.sqrt(max(0,a*y3)))
      if B+C>best: best=B+C
    return best
for name,fn in [("rows",Arows),("cols",Acols)]:
  best=-1; arg=None
  for i in range(31):
    y1=b*i/30
    for j in range(31):
      y2=a*j/30
      A=fn(y1,y2)
      tot=A+BC(y1,y2)
      if tot>best: best=tot; arg=(y1,y2,A,tot)
  print(name,best,arg,"1-best",1-best)
PY