# Task
 Given some points(array `A`) on the same line, determine the minimum number of line segments with length `L` needed to cover all of the given points. A point is covered if it is located inside some segment or on its bounds.

# Example

 For `A = [1, 3, 4, 5, 8]` and `L = 3`, the output should be `2`.

 Check out the image below for better understanding:

![](https://codefightsuserpics.s3.amazonaws.com/tasks/segmentCover/img/example.png?_tm=1474900035857)

 
 For `A = [1, 5, 2, 4, 3]` and `L = 1`, the output should be `3`.
 
 segment1: `1-2`(covered points 1,2), 
 
 segment2: `3-4`(covered points 3,4),
 
 segment3: `5-6`(covered point 5)

 For `A = [1, 10, 100, 1000]` and `L = 1`, the output should be `4`.
 
 segment1: `1-2`(covered point 1), 
 
 segment2: `10-11`(covered point 10),
 
 segment3: `100-101`(covered point 100), 
 
 segment4: `1000-1001`(covered point 1000)


# Input/Output


 - `[input]` integer array A

    Array of point coordinates on the line (all points are different).

    Constraints:

    `1 ≤ A.length ≤ 50,`

    `-5000 ≤ A[i] ≤ 5000.`


 - `[input]` integer `L`

    Segment length, a positive integer.

    Constraints: `1 ≤ L ≤ 100.`


 - `[output]` an integer
 
   The minimum number of line segments that can cover all of the given points.

```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 segment_cover(points, length):\n    n, e = 0, float('-inf')\n    for p in sorted(points):\n        if e < p:\n            e = p + length\n            n += 1\n    return n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'segment_cover'
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: 5392