Alice has a hand of cards, given as an array of integers.
Now she wants to rearrange the cards into groups so that each group is size W, and consists of W consecutive cards.
Return true if and only if she can.
 


Example 1:
Input: hand = [1,2,3,6,2,3,4,7,8], W = 3
Output: true
Explanation: Alice's hand can be rearranged as [1,2,3],[2,3,4],[6,7,8].
Example 2:
Input: hand = [1,2,3,4,5], W = 4
Output: false
Explanation: Alice's hand can't be rearranged into groups of 4.

 
Constraints:

1 <= hand.length <= 10000
0 <= hand[i] <= 10^9
1 <= W <= hand.length

Note: This question is the same as 1296: https://leetcode.com/problems/divide-array-in-sets-of-k-consecutive-numbers/

```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 isNStraightHand(self, hand: List[int], W: int) -> bool:\n        n = len(hand)\n        if n % W != 0:\n            return False\n        \n        counter = Counter(hand)\n        \n        nums = sorted(counter.keys())\n        \n        for num in nums:\n            count = counter[num]\n            if count == 0:\n                continue\n            min_count = count\n            for i in range(W):\n                if count[num+i] < min_count:\n                    return False\n                count[num+i] -= min_count\n        return True\n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n        \n    def isNStraightHand(self, hand: List[int], W: int) -> bool:\n        #[1,2,3,2,3,4]\n        #[1,2,2,3,3,4]\n        \n        if len(hand) % W != 0:\n            return False\n        \n        counter = Counter(hand)\n        q = []\n        for num, freq in list(counter.items()):\n            heapq.heappush(q, (num, freq))\n\n        while q and len(q) >= W:\n            tmp = []\n            for i in range(W):\n                x = heapq.heappop(q)\n                if tmp and tmp[-1][0]+1 != x[0]:\n                    return False\n                tmp.append(x)\n            for num, freq in tmp:\n                if freq > 1:\n                    heapq.heappush(q, (num, freq-1))\n        return 0 == len(q)\n            \n\n            \n            \n    def isNStraightHand4(self, hand: List[int], W: int) -> bool:\n        #[1,2,3,2,3,4]\n        #[1,2,2,3,3,4]\n        \n        if len(hand) % W != 0:\n            return False\n\n        hand.sort()\n        q = []\n        for num in hand:\n            if q and q[-1][0] == num:\n                q[-1][1] += 1\n            else:\n                q.append([num, 1])\n\n        #[[3,3]]\n        #\n        n = len(hand)\n        while n > 0:\n            if len(q) < W:\n                return False\n            for i in range(1, W):\n                if q[i][0] != q[i-1][0] + 1:\n                    return False\n            j = 0\n            #print(j)\n            for i in range(W):\n                #print(i)\n                if q[j][1] == 1:\n                    q.pop(j)\n                else:\n                    q[j][1] -= 1\n                    j += 1\n            n -= W\n        return len(q) == 0\n\n    def isNStraightHand3(self, hand: List[int], W: int) -> bool:\n        counter = Counter(hand)\n        while counter:\n            m = min(counter)\n            for k in range(m, m+W):\n                v = counter[k]\n                if not v: return False\n                if v == 1:\n                    del counter[k]\n                else:\n                    counter[k] = v - 1\n        return True\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'isNStraightHand'
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: 10936