To participate in a prize draw each one gives his/her firstname. 

Each letter of a firstname
has a value which is its rank in the English alphabet. `A` and `a` have rank `1`, `B` and `b` rank `2` and so on. 

The *length* of the firstname is added to the *sum* of these ranks hence a number `som`. 

An array of random weights is linked to the firstnames and each `som` is multiplied by 
its corresponding weight to get what they call a `winning number`.

Example:
```
names: "COLIN,AMANDBA,AMANDAB,CAROL,PauL,JOSEPH"
weights: [1, 4, 4, 5, 2, 1]

PauL -> som = length of firstname + 16 + 1 + 21 + 12 = 4 + 50 -> 54
The *weight* associated with PauL is 2 so PauL's *winning number* is 54 * 2 = 108.
```
Now one can sort the firstnames in decreasing order of the `winning numbers`. When two
people have the same `winning number` sort them *alphabetically* by their firstnames.

### Task:

- parameters: `st` a string of firstnames, `we` an array of weights, `n` a rank 

- return: the firstname of the participant whose rank is `n` 
(ranks are numbered from 1)

### Example:
```
names: "COLIN,AMANDBA,AMANDAB,CAROL,PauL,JOSEPH"
weights: [1, 4, 4, 5, 2, 1]
n: 4

The function should return: "PauL"
```
# Notes:
- The weight array is at least as long as the number of names, it can be longer.

- If `st` is empty return "No participants".

- If n is greater than the number of participants then return "Not enough participants".

- See Examples Test Cases for more examples.

```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 rank(st: str, we: List[int], n: int):\n    if not st:\n        return "No participants"\n\n    names = st.split(\',\')\n    if n > len(names):\n        return "Not enough participants"\n\n    return sorted(((-w * (len(s) + sum(ord(c) - 96 for c in s.lower())), s) for s, w in zip(names, we)))[n - 1][1]\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'rank'
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: 7825