def gen( N, n ):
  res = []
  i = 0
  while N > 1:
    r = randint(1,n)
    N /= r
    res.append(r)
    i += 1
  return res 

def abba( lst, item ):
  return [ item, *lst, item]

def abab( lst, item ):
  return [ item, *lst, item, *lst]

def baa( lst, item ):
  return [ *lst, item, item ]

def ab( lst, item ):
  return [  item, *lst ]

def ba( lst, item ):
  return [ *lst, item ]

def struct( lst ):
  fnList = ['abba','abab','baa','ab','ba']
  ret = []
  for i,v in enumerate(lst):
    fn_name = choice(fnList)
    fn = globals().copy().get(fn_name)
    ret = fn(ret,{i:v}) 
  return ret


L = gen(randint(12,20),randint(3,5))
C = struct(L)
R = []
Rsum = 0
Ret = []
for i in C :
  R.append( 1/ sqrt(sum(i.values()) ))
Rsum = sum(R)
for i,j in enumerate(C) :
  length = R[i] * duration / Rsum
  print(i,j,length)
  for id in j.keys():
    print(id)
    Ret.append( { id : [j[id],length]} )