You are given 2 numbers is `n` and `k`. You need to find the number of integers between 1 and n (inclusive) that contains exactly `k` non-zero digit.

Example1 

`
almost_everywhere_zero(100, 1) return 19`

by following condition we have 19 numbers that have k = 1 digits( not count zero ) 
` [1,2,3,4,5,6,7,8,9,10,20,30,40,50,60,70,80,90,100]`


Example2  

`
almost_everywhere_zero(11, 2) return 1`

we have only `11` that has 2 digits(ten not count because zero is not count) 
` 11`





constrains


`1≤n<pow(10,100)`


`1≤k≤100`

```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 almost_everywhere_zero(S, k):\n    S = [int(c) for c in str(S)]\n    D,n = {},len(S)\n\n    def F(i, k, L):\n        if i==n: return k==0\n        if k==0: return F(i+1,k,L)\n        if (i,k,L) in D: return D[(i,k,L)]\n\n        if i==0 or L:\n            D[(i,k,L)] =F(i+1,k,S[i]==0) +(S[i]-1)*F(i+1,k-1,False) +F(i+1,k-1,S[i]!=0)\n        else:\n            D[(i,k,L)] = F(i+1,k,False) + 9 * F(i+1,k-1,False)\n\n        return D[(i,k,L)]\n    return F(0, k, 0)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'almost_everywhere_zero'
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: 7132