We define the function `f1(n,k)`, as the least multiple of `n` that has all its digits less than `k`. 

We define the function `f2(n,k)`, as the least multiple of `n` that has all the digits that are less than `k`.

Each digit may occur more than once in both values of `f1(n,k)` and `f2(n,k)`.

The possible values for `n` and `k` according to these ranges for both functions `f1` and `f2` in this kata:
``` 
1 <= n <= 1.000.000.000.000
3 <= k <= 9
``` 

For example, let's see the value of both functions for `n = 71` and `k = 4`:
``` 
f1(71,4) == 213 # all its digits less than 4
f2(71,4) == 2130 # 0,1,2,3 all of them present 
```
The integer `76` is the first integer that has the same values of `f1` and `f2` for `k = 4`. 
```
f1(76,4) = f2(76,4) = 10032
```
Let's call these kind of numbers, **forgiving numbers**. (Let's continue with the fashion of attributing personality traits to numbers and, of course, an unknown one)
So, `76` is the smallest forgiving number of order `4`.
In the same way, `485` is the smallest forgiving number of order `5`.

Create a function that given an integer `n` and the order `k`, will output the higher and closest forgiving number to `n` of order `k`.

Let's see some examples:
```
find_f1_eq_f2(500,5) == 547
find_f1_eq_f2(1600,6) == 1799
find_f1_eq_f2(14900,7) == 14996
```
If the number `n` is a forgiving itself for a certain order `k`, the function will never output the same value, remember, closest and **higher** than `n`.

For example, `3456`, is a forgiving one of order `4`,
```
find_f1_eq_f2(3456,4) == 3462
```
**Features of the tests:**

* `n` and `k` will be always valid and positive integers.

* A total of 8 fixed tests.

* A total of 150 random tests in the ranges for `n` and `k` given above.

I'll be waiting your awesome solution. :)

```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 digits_less_than(n,k):\n    for i in str(n):\n        if int(i) >= k:\n            return False\n    return True\n\ndef all_digits_less_than(n,d):\n    for i in d:\n        if i not in str(n):\n            return False\n    return True\n\ndef find_f1_eq_f2(n,k):\n    d = '012'\n    for i in range(3,k):\n        d += str(i)\n    m = 0\n    i = 0\n    while not all_digits_less_than((m+n)*i,d):\n        m += 1\n        i = 1\n        while not digits_less_than((m+n)*i,k):\n            i += 1\n    return m+n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'find_f1_eq_f2'
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: 5764