Given a non-negative integer N, find the largest number that is less than or equal to N with monotone increasing digits.

(Recall that an integer has monotone increasing digits if and only if each pair of adjacent digits x and y satisfy x .)


Example 1:

Input: N = 10
Output: 9



Example 2:

Input: N = 1234
Output: 1234



Example 3:

Input: N = 332
Output: 299



Note:
N is an integer in the range [0, 10^9].

```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 = 'class Solution:\n     def monotoneIncreasingDigits(self, N):\n         """\n         :type N: int\n         :rtype: int\n         """\n         \n         arr = [int(ch) for ch in str(N)] # create array from number 1234 => [1,2,3,4]\n         marker = len(arr)\n         \n         i = len(arr)-2\n         while i >= 0:\n             if arr[i] > arr[i+1]:\n                 marker = i+1\n                 arr[i] -= 1  \n             i-=1\n         \n         while marker < len(arr):\n             arr[marker] = 9\n             marker += 1\n         \n         return int(\'\'.join([str(num) for num in arr]))\n         \n         \n #         # any number 0..9 has always monotone increasing digits\n #         if N < 10:\n #             return N\n         \n #         stack = []\n         \n #         # create stack of digits 1234 -> [4,3,2,1]\n #         while N:\n #             stack.append(N%10)\n #             N = N // 10      \n         \n #         X = 0\n #         power_of_10 = len(stack)-1\n #         right = stack.pop()\n #         while stack:\n #             left = right\n #             right = stack.pop()\n #             if left <= right:\n #                 X += left * (10**power_of_10)\n #                 power_of_10 -= 1\n #             else:\n #                 X += (left-1) * (10**power_of_10)\n #                 X += int(\'9\'*power_of_10)\n #                 return self.monotoneIncreasingDigits(X)\n         \n #         # remaining part\n #         X += right\n         \n #         return X\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'monotoneIncreasingDigits'
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: 5860