A core idea of several left-wing ideologies is that the wealthiest should *support* the poorest, no matter what and that is exactly what you are called to do using this kata (which, on a side note, was born out of the necessity to redistribute the width of `div`s into a given container).

You will be given two parameters, `population` and `minimum`: your goal is to give to each one according to his own needs (which we assume to be equal to `minimum` for everyone, no matter what), taking from the richest (bigger numbers) first.

For example, assuming a population `[2,3,5,15,75]` and `5` as a minimum, the expected result should be `[5,5,5,15,70]`. Let's punish those filthy capitalists, as we all know that being rich has to be somehow a fault and a shame!

If you happen to have few people as the richest, just take from the ones with the lowest index (the closest to the left, in few words) in the array first, on a 1:1 based heroic proletarian redistribution, until everyone is satisfied.

To clarify this rule, assuming a population `[2,3,5,45,45]` and `5` as `minimum`, the expected result should be `[5,5,5,42,43]`.

If you want to see it in steps, consider removing `minimum` from every member of the population, then iteratively (or recursively) adding 1 to the poorest while removing 1 from the richest. Pick the element most at left if more elements exist with the same level of minimal poverty, as they are certainly even more aligned with the party will than other poor people; similarly, it is ok to take from the richest one on the left first, so they can learn their lesson and be more kind, possibly giving more *gifts* to the inspectors of the State!

In steps:
```
[ 2, 3, 5,45,45] becomes
[-3,-2, 0,40,40] that then becomes
[-2,-2, 0,39,40] that then becomes
[-1,-2, 0,39,39] that then becomes
[-1,-1, 0,38,39] that then becomes
[ 0,-1, 0,38,38] that then becomes
[ 0, 0, 0,37,38] that then finally becomes (adding the minimum again, as no value is no longer under the poverty threshold
[ 5, 5, 5,42,43]
```

If giving `minimum` is unfeasable with the current resources (as it often comes to be the case in socialist communities...), for example if the above starting population had set a goal of giving anyone at least `30`, just return an empty 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 socialist_distribution(population, minimum):\n    if sum(population) < len(population) * minimum:\n        return []\n    while 1:\n        poor = rich = 0\n        for idx, need in enumerate(population):\n            if need < population[poor]: poor = idx\n            if need > population[rich]: rich = idx\n        if population[poor] >= minimum:\n            return population\n        population[rich] -= 1\n        population[poor] += 1'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'socialist_distribution'
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: 5594