My friend John and I are members of the "Fat to Fit Club (FFC)". John is worried because
each month a list with the weights of members is published and each month he is the last on the list
which means he is the heaviest. 

I am the one who establishes the list so I told him:
"Don't worry any more, I will modify the order of the list".
It was decided to attribute a "weight" to numbers. The weight of a number will be from now on
the sum of its digits. 

For example `99` will have "weight" `18`, `100` will have "weight"
`1` so in the list `100` will come before `99`.
Given a string with the weights of FFC members in normal order can you give this string ordered by "weights" of these numbers?

# Example:

`"56 65 74 100 99 68 86 180 90"` ordered by numbers weights becomes: 
`"100 180 90 56 65 74 68 86 99"`

When two numbers have the same "weight", let us class them as if they were strings (alphabetical ordering) and not numbers:
`100` is before `180` because its "weight" (1) is less than the one of `180` (9)
and `180` is before `90` since, having the same "weight" (9),  it comes before as a *string*.

All numbers in the list are positive numbers and the list can be empty.

# Notes

- it may happen that the input string have leading, trailing whitespaces and more than a unique whitespace between two consecutive numbers
- Don't modify the input
- For C: The result is freed.

```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 order_weight(strng):\n    if strng=="":\n        return strng\n    else:\n        lss=strng.split()\n        new_ls=[]\n        dic={}\n        value=""    \n        for elements in lss:\n            new=sum(float(element) for element in elements) \n            if new in new_ls:\n                  while new in new_ls:\n                      new=float(new)\n                      new+=0.001\n                  new_ls.append(new)\n                  dic[new]=elements\n            else:\n                new_ls.append(new)\n                dic[new]=elements\n            new_ls.sort() \n        sl=[dic.get(new_ls[m]) for m in range(len(new_ls))]\n        for m in range(len(new_ls)):\n            for n in range(len(new_ls)):\n                if int(new_ls[m])==int(new_ls[n]) and m!=n:\n                    if dic.get(new_ls[m])<dic.get(new_ls[n]) and m>n:\n                        t=new_ls[m]\n                        new_ls[m]=new_ls[n]\n                        new_ls[n]=t        \n        for i in range(len(new_ls)-1):\n            value+="".join(dic.get(new_ls[i]))\n            value+=" "\n        value+="".join(dic.get(new_ls[-1]))\n        return value'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'order_weight'
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: 7503