# Introduction and Warm-up (Highly recommended)

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

# Task

**_Given_** an *array/list [] of integers* , **_Construct_** a *product array **_Of same size_** Such That prod[i] is equal to The Product of all the elements of Arr[] except Arr[i]*. 
___

# Notes 


* **_Array/list_** size is *at least 2* .

* **_Array/list's numbers_**  Will be **_only Positives_** 

* **_Repetition_** of numbers in *the array/list could occur*.
___

# Input >> Output Examples 

```
productArray ({12,20}) ==>  return {20,12}
```
## **_Explanation_**:

* **_The first element_**  *in prod [] array* **_12_**  *is the product of all array's elements except the first element*

* **_The second element_** **_20_**  *is the product of all array's elements except the second element* .
___

```
productArray ({1,5,2}) ==> return {10,2,5}
```

## **_Explanation_**: 


* **_The first element_**  **_10_** *is the product of all array's elements* **_except_** *the first element **_1_***

* **_The second element_** **_2_** *is the product of all array's elements* **_except_** *the second element* **_5_** 

* **_The Third element_** **_5_** *is the product of all array's elements* **_except_** *the Third element* **_2_**.

___

```
productArray ({10,3,5,6,2}) return ==> {180,600,360,300,900}
```

## **_Explanation_**: 


* **_The first element_** **_180_**  *is the product of all array's elements* **_except_** *the first element*  **_10_** 

* **_The second element_** **_600_** *is the product of all array's elements*  **_except_**  *the second element*  **_3_** 

* **_The Third element_** **_360_** *is the product of all array's elements* **_except_** *the third element* **_5_**

* **_The Fourth element_** **_300_** *is the product of all array's elements* **_except_** *the fourth element* **_6_** 

* *Finally* ,**_The Fifth element_** **_900_** *is the product of all array's elements* **_except_** *the fifth element* **_2_** 

___
# [A more challenging version of this kata by Firefly2002](https://www.codewars.com/kata/array-product-sans-n)
___
___

# [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 = 'def product_array(numbers):\n    prod = eval("*".join(map(str, numbers)))\n    return [ prod / x for x in numbers ]'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'product_array'
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: 17296