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! :)

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "def complexSum(arr):\n    real_sum = 0\n    imag_sum = 0\n    for string in arr:\n        val = ''\n        for char in string:\n            if char == '-':\n                if len(val) > 0:\n                    real_sum += int(val)\n                val = '-'\n            elif char == '+':\n                real_sum += int(val)\n                val = ''\n            elif char == 'i':\n                if val == '':\n                    val = 1\n                elif val[0] == '-':\n                    if len(val) != 1:\n                        val = -1 * int(val[1::])\n                    else: val = -1\n                imag_sum += int(val)\n                val = 0\n            else:   \n                val += char\n        real_sum += int(val)\n    fin_string = ''\n    if imag_sum == 1:\n        fin_string = 'i'\n    elif imag_sum == 0:\n        fin_string = ''\n    elif imag_sum == -1:\n        fin_string = '-i'  \n    else:\n        if imag_sum > 1 and real_sum != 0:\n            fin_string = '+'+str(imag_sum)+'i'\n        else: \n            fin_string = str(imag_sum)+'i'\n    if real_sum == 0 and imag_sum != 0:\n        return fin_string\n    return (str(real_sum)+fin_string) if (real_sum+imag_sum !=0) else '0'"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'complexSum'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5979