This challenge is based on [the kata](https://www.codewars.com/kata/n-smallest-elements-in-original-order) by GiacomoSorbi. Before doing this one it is advisable to complete the non-performance version first.

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# Task

You will be given an array of random integers and a number `n`. You have to extract `n` smallest integers out of it **preserving the original order**.

# Examples

```python
performant_smallest([1, 2, 3, 4, 5], 3)     ==   [1, 2, 3]
performant_smallest([5, 4, 3, 2, 1], 3)     ==   [3, 2, 1]
performant_smallest([1, 2, 3, 4, 1], 3)     ==   [1, 2, 1]
performant_smallest([2, 1, 3, 2, 3], 3)     ==   [2, 1, 2]
```

# Notes

* There will be duplicates in the array, and they have to be returned in the order of their each separate appearence.
* This kata is an example of the "know your data" principle. Remember this while searching for the correct approach.

# Performance tests

```python
Tests: 15
Array size: 800,000
Values range: [1; 50]
Number of elements to return: 25-50% of the array
```

```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 performant_smallest(lst, n):\n    c = [0]*201     #Our counter.\n    for itm in lst:     c[itm+100] += 1     #Map each number to num+100.\n    res, sm = [0]*n, 0\n    for k in range(201):    #Iterate through the numbers in our counter.\n        sm += c[k]\n        if sm >= n:\n            c[k] += n - sm  #The sum of `c[:k+1]` should be equal to `n`, and this would give us the count of the `n` smallest elements.\n            break\n    sm = 0\n    for itm in lst:     #Iterate through the list to present the elements in their appearance order in the list.\n        v = itm+100     #The mapping between the list item and its index in our counter.\n        if v <= k and c[v] > 0:     #The item is one of the `n` smallest items.\n            res[sm] = itm   #Place it in its position in the result list.\n            sm += 1\n            c[v] -= 1\n        if sm == n: break\n    return res'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'performant_smallest'
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: 6910