import math

def genesis_block(e):
  x = e % 2
  a = int(e/2) + x
  n = 1
  b = a + 2*x + 2*n
  c = a*b
  d = math.floor(math.sqrt(c))
  return (e, n, d, x, a, b)

def generateNRowsFromGenesis(e, rows=10):
  genesis = genesis_block(e)
  block = genesis
  if e % 2 == 0:
    offset = 2
  else:
    offset = 4
  print (block)
  for i in range(rows):
    e, n, d, x, a, b = block
    a = b
    b = b + (offset + 4 * (i + 1))
    c = a * b
    d = math.floor(math.sqrt(c))
    x = math.floor(math.sqrt( (d + n)**2 -c ) - n)
    block = (e, n, d, x, a, b)
    print (block)

def generateNthRowFromGenesis(e, nth=1):
  genesis = genesis_block(e)
  e, n, d, x, a, b = genesis
  if e % 2 == 0:
    a = int(int(e/2) + 2 * (nth**2))
    b = int(int(e/2) + 2 * ((nth + 1)**2))
  else:
    a = int(int(e/2) + 1 + 4 * ( (nth * (nth - 1))/2 ))
    b = int(int(e/2) + 1 + 4 * ( (nth * (nth + 1))/2 ))
  c = a * b
  d = math.floor(math.sqrt(c))
  ee = c - d**2
  n = (a + b)/2 - d
  x = d - a
  print (e, n, d, x, a, b)