# Task

**_Given_** an *array/list [] of n integers* , *find maximum triplet sum in the array* **_Without duplications_**   .
___

# Notes :

* **_Array/list_** size is *at least 3* .

* **_Array/list_** numbers could be a *mixture of positives , negatives and zeros* .

* **_Repetition_** of numbers in *the array/list could occur* , So **_(duplications are not included when summing)_**.
___
# Input >> Output Examples 

## **_Explanation_**:

* As the **_triplet_** that *maximize the sum* **_{6,8,3}_** in order , **_their sum is (17)_** 

* *Note* : **_duplications_** *are not included when summing* , **(i.e) the numbers added only once** .
___
## **_Explanation_**:

* As the **_triplet_** that *maximize the sum* **_{8, 6, 4}_** in order , **_their sum is (18)_** , 
* *Note* : **_duplications_** *are not included when summing* , **(i.e) the numbers added only once** .
___
## **_Explanation_**:

* As the **_triplet_** that *maximize the sum* **_{12 , 29 , 0}_** in order , **_their sum is (41)_** , 
* *Note* : **_duplications_** *are not included when summing* , **(i.e) the numbers added only once** .
___
# [Playing with Numbers Series](https://www.codewars.com/collections/playing-with-numbers)

# [Playing With Lists/Arrays Series](https://www.codewars.com/collections/playing-with-lists-slash-arrays)

# [For More Enjoyable Katas](http://www.codewars.com/users/MrZizoScream/authored)
___
___
___

## ALL translations are welcomed

## Enjoy Learning !!
# Zizou

```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 = 'from typing import List\n\n\ndef max_tri_sum(numbers: List[int]) -> int:\n    m1, m2, m3 = sorted(numbers[:3])\n    \n    for n in numbers[3:]:\n        if n > m1:\n            if n > m2:\n                if n > m3:\n                    m1, m2, m3 = m2, m3, n\n                elif n != m3:\n                    m1, m2 = m2, n\n            elif n != m2:\n                m1 = n\n\n    return m1 + m2 + m3\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'max_tri_sum'
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: 5502