Chef made $N$ pieces of cakes, numbered them $1$ through $N$ and arranged them in a row in this order. There are $K$ possible types of flavours (numbered $1$ through $K$); for each valid $i$, the $i$-th piece of cake has a flavour $A_i$.
Chef wants to select a contiguous subsegment of the pieces of cake such that there is at least one flavour which does not occur in that subsegment. Find the maximum possible length of such a subsegment of cakes.

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first line of each test case contains two integers $N$ and $K$.
- The second line contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.

-----Output-----
For each test case, print a single line containing one integer ― the maximum length of a valid subsegment.

-----Constraints-----
- $1 \le T \le 1,000$
- $1 \le N \le 10^5$
- $2 \le K \le 10^5$
- $1 \le A_i \le K$ for each valid $i$
- the sum of $N$ over all test cases does not exceed $10^6$

-----Subtasks-----
Subtask #1 (50 points):
- $N \le 10^3$
- $K = 2$
- the sum of $N$ over all test cases does not exceed $10^4$
Subtask #2 (50 points): original constraints

-----Example Input-----
2
6 2
1 1 1 2 2 1
5 3
1 1 2 2 1

-----Example Output-----
3
5

```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

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'for _ in range(int(input())):\n n, k = list(map(int, input().split()))\n a = list(map(int, input().split()))\n p = 0\n sm = 0\n ans = 0\n d = dict()\n for i in range(n):\n  d[a[i]] = d.get(a[i], 0) + 1\n  if d[a[i]] == 1:\n   sm += 1\n  if sm == k:\n   ans = max(ans, i - p)\n   while sm == k:\n    d[a[p]] = d[a[p]] - 1\n    p += 1\n    if d[a[p-1]] == 0:\n     sm -= 1\n     break\n ans = max(ans, n - p)\n if ans == 0:\n  ans = n\n print(ans)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13435