Every Turkish citizen has an identity number whose validity can be checked by these set of rules:

- It is an 11 digit number
- First digit can't be zero
- Take the sum of 1st, 3rd, 5th, 7th and 9th digit and multiply it by 7.
Then subtract the sum of 2nd, 4th, 6th and 8th digits from this value.
Modulus 10 of the result should be equal to 10th digit.
- Sum of first ten digits' modulus 10 should be equal to eleventh digit.

Example:

    10167994524
    //  1+1+7+9+5= 23   // "Take the sum of 1st, 3rd, 5th, 7th and 9th digit..."
    //    23 * 7= 161   //  "...and multiply it by 7"
    //   0+6+9+4 = 19   // "Take the sum of 2nd, 4th, 6th and 8th digits..."
    // 161 - 19 = 142   // "...and subtract from first value"
    // "Modulus 10 of the result should be equal to 10th digit"
    10167994524
             ^ = 2 = 142 % 10
    // 1+0+1+6+7+9+9+4+5+2 = 44
    // "Sum of first ten digits' modulus 10 should be equal to eleventh digit"
    10167994524
              ^ = 4 = 44 % 10

Your task is to write a function to check the validity of a given number.
Return `true` or `false` accordingly.

Note: The input can be a string in some cases.

```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 check_valid_tr_number(n):\n    return type(n) == int and len(str(n)) == 11 and \\\n    8*sum(map(int, str(n)[:-1:2])) % 10 == sum(map(int, str(n)[:-1])) % 10 == n % 10'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'check_valid_tr_number'
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: 5644