You are a *khm*mad*khm* scientist and you decided to play with electron distribution among atom's shells.
You know that basic idea of electron distribution is that electrons should fill a shell untill it's holding the maximum number of electrons.


  ---
Rules:  
  - Maximum number of electrons in a shell is distributed with a rule of 2n^2 (n being position of a shell). 
  - For example, maximum number of electrons in 3rd shield is 2*3^2 = 18.
  - Electrons should fill the lowest level shell first.
  - If the electrons have completely filled the lowest level shell, the other unoccupied electrons will fill the higher level shell and so on.  
  ---
        
```
Ex.:    atomicNumber(1); should return [1]
        atomicNumber(10); should return [2, 8]
        atomicNumber(11); should return [2, 8, 1]
        atomicNumber(47); should return [2, 8, 18, 19]
```

Difficulty: EASY
Starter code: def atomic_number(electrons):
	

Solutions:
def atomic_number(electrons):
	result = []
	i = 1
	while electrons > 0:
		result.append(min(2 * i ** 2, electrons))
		electrons -= result[-1]
		i += 1
	return result


def atomic_number(electrons):
	(level, shells) = (1, [])
	while electrons:
		shells.append(min(2 * level * level, electrons))
		(electrons, level) = (electrons - shells[-1], level + 1)
	return shells


from numpy import roots

def atomic_number(electrons):
	root = roots((2, 3, 1, -3 * electrons))[2].real
	full = int(root)
	result = [2 * n * n for n in range(1, full + 1)]
	if root % 1:
		result.append(electrons - full * (full + 1) * (2 * full + 1) // 3)
	return result


def atomic_number(electrons):
	result = []
	for i in range(1, 100):
		n = 2 * i * i
		result.append(min(electrons, n))
		electrons -= n
		if electrons <= 0:
			break
	return result


def atomic_number(electrons):
	result = []
	shield = 1
	maxnum = 2
	if electrons == 1:
		return [1]
	while electrons > maxnum:
		result.append(maxnum)
		electrons -= maxnum
		shield += 1
		maxnum = shield ** 2 * 2
	result.append(electrons)
	return result


def atomic_number(electrons):
	res = []
	i = 1
	while True:
		m = 2 * i ** 2
		if electrons > m:
			res.append(m)
			electrons -= m
			i += 1
		else:
			res.append(electrons)
			break
	return res


def atomic_number(e, d=[], l=1):
	return d if e <= 0 else atomic_number(e - 2 * l ** 2, d + [min(e, 2 * l ** 2)], l + 1)


def atomic_number(e):
	(l, shells) = (1, [])
	while e:
		n = min(2 * l * l, e)
		shells.append(n)
		(e, l) = (e - n, l + 1)
	return shells


def atomic_number(n):
	L = []
	i = 1
	while n > 0:
		a = min(2 * i ** 2, n)
		L.append(a)
		n -= a
		i += 1
	return L


def atomic_number(electrons):
	n = 1
	sa = []
	while electrons > 0:
		s = min(electrons, n ** 2 * 2)
		electrons -= s
		sa.append(s)
		n += 1
	return sa