You are going to be given an array of integers. Your job is to take that array and find an index N where the sum of the integers to the left of N is equal to the sum of the integers to the right of N. If there is no index that would make this happen, return `-1`.

__For example:__

Let's say you are given the array `{1,2,3,4,3,2,1}`:  
Your function will return the index `3`, because at the 3rd position of the array, the sum of left side of the index (`{1,2,3}`) and the sum of the right side of the index (`{3,2,1}`) both equal `6`.


Let's look at another one.  
You are given the array `{1,100,50,-51,1,1}`:  
Your function will return the index `1`, because at the 1st position of the array, the sum of left side of the index (`{1}`) and the sum of the right side of the index (`{50,-51,1,1}`) both equal `1`.

Last one:  
You are given the array `{20,10,-80,10,10,15,35}`  
At index 0 the left side is `{}`  
The right side is `{10,-80,10,10,15,35}`  
They both are equal to `0` when added. (Empty arrays are equal to 0 in this problem)  
Index 0 is the place where the left side and right side are equal.  

Note: Please remember that in most programming/scripting languages the index of an array starts at 0.

__Input:__  
An integer array of length `0 < arr < 1000`. The numbers in the array can be any integer positive or negative.

__Output:__  
The lowest index `N` where the side to the left of `N` is equal to the side to the right of `N`. If you do not find an index that fits these rules, then you will return `-1`.

__Note:__  
If you are given an array with multiple answers, return the lowest correct index.

```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 find_even_index(lst):\n    left_sum = 0\n    right_sum = sum(lst)\n    for i, a in enumerate(lst):\n        right_sum -= a\n        if left_sum == right_sum:\n            result = i\n            break\n        left_sum += a\n    else:\n        result = -1\n    return result\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'find_even_index'
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: 5386