#! /usr/bin/python3
# Last edited on 2025-12-02 19:09:58 by stolfi

from math import sqrt
from sys import stdout as out, stderr as err

def main():
  submats = ( \
    ( ('sie','sich'), ('nicht','in'),  ((12,10),(16,14)) ),
    ( ('sie','sich'), ('nicht','mit'), ((12, 7),(16,13)) ),
    ( ('sie','sich'), ('in','mit'),    ((10, 7),(14,13)) ),

    ( ('in','mit'),   ('der','den'),   ((16,20),(18,10)) ),
    ( ('in','mit'),   ('der','dem'),   ((16,10),(18,17)) ),
    ( ('in','mit'),   ('den','dem'),   ((20,10),(10,17)) ),

    ( ('in','von'),   ('der','den'),   ((16,20),(18,10)) ),
    ( ('in','von'),   ('der','dem'),   ((16,10),(18,18)) ),
    ( ('in','von'),   ('den','dem'),   ((20,10),(10,18)) ),
                                       
    ( ('mit','von'),  ('der','den'),   ((18,10),(18,10)) ),
    ( ('mit','von'),  ('der','dem'),   ((18,17),(18,18)) ),
    ( ('mit','von'),  ('den','dem'),   ((10,17),(10,18)) ),
    
    ( ('okedy','otedy'),  ('qokeedy', 'qokedy'), ((0, 47), (20,41)) ),
  )
  
  for A, B, M in submats:
    ab, cd = M; a, b = ab; c, d = cd;
    D, T, R = compute_R(a,b,c,d)
    Af = f"{A}"; Bf = f"{B}"
    out.write(f"{Af:25} {Bf:25} [[{a:4d} {b:4d}] [{c:4d} {d:4d}]]")
    out.write(f" {D = :8d} {R = :6.4f}\n")
  return
  # ----------------------------------------------------------------------
    
def compute_R(a,b,c,d):    
  D = a*d-b*c
  if D > 0: 
    D = -D
    T = b + c
  else:
    T = a + d
  L1 = abs(T/2 + sqrt(T*T/4 - D))
  L2 = abs(T/2 - sqrt(T*T/4 - D))
  R = min(L1,L2)/max(L1,L2)
  return D, T, R
  # ----------------------------------------------------------------------
    
main()