Your program will receive an array of complex numbers represented as strings. Your task is to write the  `complexSum` function which have to return the sum as a string.

Complex numbers can be written in the form of `a+bi`, such as `2-3i` where `2` is the real part, `3` is the imaginary part, and `i` is the "imaginary unit". 

When you add two complex numbers, the real and the imaginary part needs to be added separately,so for example `2+3i + 5-i = (2+5)+(3i-i) = 7+2i`

Both the complex and the imaginary part can be 0, so `123`, `-2i` or `i` are also complex numbers.

Complex numbers must be returned in their shortest form, so e.g. `0+1*i` should be just `i`, and `10+0i` should be `10`. This is also how you will get them!

For simplicity, the coefficients will always be integers. If the array is empty, return `0`.

Have fun! :)

Difficulty: EASY
Tags: Fundamentals

Starter code:
def complexSum(arr):
	

Solutions:
def complexSum(arr, sub={'1i': 'i', '-1i': '-i', '0i': '0'}):
	s = str(sum((complex(x.replace('i', 'j')) for x in arr))).replace('j', 'i')
	s = s.strip('()')
	s = s.replace('+0i', '')
	return sub.get(s, s)


def complexSum(arr):
	a = [complex(i.replace('i', 'j')) for i in arr]
	s = 0
	for i in a:
		s += i
	if s == 1j:
		return 'i'
	elif s == -1j:
		return '-i'
	elif s.imag == 0j:
		s = int(s.real)
	s = str(s).replace('j', 'i').lstrip('(').rstrip(')')
	return s


from functools import reduce
from operator import add
import re
P_TO_PYTHON = re.compile('[+-]?\\d*i')
P_FROM_PYTHON = re.compile('[()]|\\b1(?=j)|([+-]|^)0j')
complexify = lambda m: '{}{}1j'.format(m.group()[:-1], '*' * (len(m.group()) > 1 and m.group()[-2] not in '-+'))

def complexSum(arr):
	lst = [P_TO_PYTHON.sub(complexify, s) for s in arr]
	cpx = reduce(add, map(eval, lst), 0)
	return P_FROM_PYTHON.sub('', str(cpx)).replace('j', 'i')


(s, complexSum) = (__import__('re').sub, lambda a: s('[-+]0i?|[()]', '', s('(\\b1)?j', 'i', str(eval(s('i', 'j', s('\\bi', '1i', '+'.join(a) or '0')))))))


import re

def complexSum(arr):
	real = 0
	img = 0
	for a in arr:
		for b in re.findall('[-+]?\\d*i?', a):
			if not b:
				continue
			if 'i' in b:
				if b == '+i' or b == 'i':
					img += 1
				elif b == '-i':
					img -= 1
				else:
					img += int(b[:-1])
			else:
				real += int(b)
	if img == 0:
		return str(real)
	elif real == 0:
		if img == 1:
			return 'i'
		elif img == -1:
			return '-i'
		else:
			return '{}i'.format(img)
	else:
		return '{}{:+}i'.format(real, img).replace('+1i', '+i').replace('-1i', '-i')


def complexSum(arr):
	s = sum((complex(i.replace('i', 'j')) for i in arr))
	(r, i) = map(int, (s.real, s.imag))
	return f'{r}' if not i else f"{('-' if i == -1 else '' if i == 1 else i)}i" if not r else f"{r}{('+' if i > 0 else '')}{i}i"


def complexSum(arr):
	real_sum = 0
	imag_sum = 0
	for string in arr:
		val = ''
		for char in string:
			if char == '-':
				if len(val) > 0:
					real_sum += int(val)
				val = '-'
			elif char == '+':
				real_sum += int(val)
				val = ''
			elif char == 'i':
				if val == '':
					val = 1
				elif val[0] == '-':
					if len(val) != 1:
						val = -1 * int(val[1:])
					else:
						val = -1
				imag_sum += int(val)
				val = 0
			else:
				val += char
		real_sum += int(val)
	fin_string = ''
	if imag_sum == 1:
		fin_string = 'i'
	elif imag_sum == 0:
		fin_string = ''
	elif imag_sum == -1:
		fin_string = '-i'
	elif imag_sum > 1 and real_sum != 0:
		fin_string = '+' + str(imag_sum) + 'i'
	else:
		fin_string = str(imag_sum) + 'i'
	if real_sum == 0 and imag_sum != 0:
		return fin_string
	return str(real_sum) + fin_string if real_sum + imag_sum != 0 else '0'


complexSum = lambda A: (lambda s: {'1i': 'i', '-1i': '-i', '0i': '0'}.get(s, s))(str(sum((complex(x.replace('i', 'j')) for x in A))).replace('j', 'i').strip('()').replace('+0i', ''))