# Your Task
You have a Petri dish with bacteria, and you are preparing to dive into the harsh micro-world. But, unfortunately, you don't have any microscope nearby, so you can't watch them.

You know that you have `n` bacteria in the Petri dish and size of the i-th bacteria is bacteriai. Also you know intergalactic positive integer constant `K`.

The i-th bacteria can swallow the j-th bacteria if and only if bacteriai > bacteriaj and bacteriai ≤ bacteriaj + K. The j-th bacteria disappear, but the i-th bacteria doesn't change its size.

Since you don't have a microscope, you can only guess the minimal possible number of bacteria that will remain in your Petri dish when you finally find a microscope.

```python
micro_world([101, 53, 42, 102, 101, 55, 54], 1) == 3
micro_world([20, 15, 10, 15, 20, 25], 5) == 1
```

___

# Explanation
```python
bacteria = [101, 53, 42, 102, 101, 55, 54]
K = 1
```

```if:cpp
The one of possible sequences of swallows is: {101,53,42,102,101,55,54} → {101,53,42,102,55,54} → {101,42,102,55,54} → {42,102,55,54} → {42,102,55}. In total there are 3 bacteria remaining.
```
```if:python,ruby,javascript
The one of possible sequences of swallows is: [101,53,42,102,101,55,54] → [101,53,42,102,55,54] → [101,42,102,55,54] → [42,102,55,54] → [42,102,55]. In total there are 3 bacteria remaining.
```

```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 micro_world(bacteria, k):\n    bacteria.sort()\n    while True:\n        last = len(bacteria)\n        for j in range(len(bacteria)):\n            has_eat = False\n            for i in range(j+1, len(bacteria)):\n                if bacteria[i] > bacteria[j] and bacteria[i] <= k+bacteria[j]:\n                    bacteria.remove(bacteria[j])\n                    has_eat = True\n                    break\n            if has_eat:\n                break\n        if len(bacteria) == last:\n            break\n    return len(bacteria)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'micro_world'
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: 5754