# Task:

We define the "self reversed power sequence" as one shown below:



Implement a function that takes 2 arguments (`ord max` and `num dig`), and finds the smallest term of the sequence whose index is less than or equal to `ord max`, and has exactly `num dig` number of digits.

If there is a number with correct amount of digits, the result should be an array in the form:

```python
[True, smallest found term]
[False, -1]
```

## Input range:

```python
ord_max <= 1000
```

___

## Examples:

```python
min_length_num(5, 10) == [True, 10]   # 10th term has 5 digits
min_length_num(7, 11) == [False, -1]  # no terms before the 13th one have 7 digits
min_length_num(7, 14) == [True, 13]   # 13th term is the first one which has 7 digits
```

Which you can see in the table below:

```
n-th Term    Term Value
1              0
2              1
3              3
4              8
5              22
6              65
7              209
8              732
9              2780
10             11377
11             49863
12             232768
13             1151914
14             6018785
```

___

Enjoy it and happy coding!!

```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 = 'import math\nbox = []\nfor n in range(1001)[1:]:\n    box.append(int(math.log10(sum(map(lambda x,y: x**y, list(range(n+1)), sorted(list(range(n+1)), reverse = True)))))+1)\n\ndef min_length_num(num, ord_max):\n        floor = 0\n        roof = ord_max\n        while floor <=roof:\n            mid = (roof+floor)//2\n            if box[mid] > num:\n                roof = mid - 1\n            elif box[mid] < num:\n                floor = mid + 1\n            elif box[mid-1] == num:\n                    floor -=1\n                    roof -=1\n            else:\n                return [True, mid+1]\n        else:\n            return [False, -1]\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'min_length_num'
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: 5558