A string with length $L$ is called rich if $L \ge 3$ and there is a character which occurs in this string strictly more than $L/2$ times.
You are given a string $S$ and you should answer $Q$ queries on this string. In each query, you are given a substring $S_L, S_{L+1}, \ldots, S_R$. Consider all substrings of this substring. You have to determine whether at least one of them is rich.

-----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 space-separated integers $N$ and $Q$.
- The second line contains a single string $S$ with length $N$.
- Each of the next $Q$ lines contains two space-separated integers $L$ and $R$ describing a query.

-----Output-----
For each query, print a single line containing the string "YES" if the given substring contains a rich substring or "NO" if it does not contain any rich substring.

-----Constraints-----
- $1 \le T \le 10$
- $1 \le N, Q \le 10^5$
- $1 \le L \le R \le N$
- $S$ contains only lowercase English letters

-----Example Input-----
1
10 2
helloworld
1 3
1 10

-----Example Output-----
NO
YES

```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 = "t=int(input())\nfor _ in range(t):\n n,m=list(map(int,input().split()))\n s=input()\n if n<3:\n  for i in range(m):\n   a,b=list(map(int,input().split()))\n   print('NO')\n else:\n  k=[s[0],s[1],s[2]]\n  if k[0]==k[1] or k[1]==k[2] or k[0]==k[2]:\n   c=1\n  else:\n   c=0\n  ans=[0,c]\n  for i in range(3,n):\n   del(k[0])\n   k.append(s[i])\n   if k[0]==k[1] or k[1]==k[2] or k[0]==k[2]:\n    c+=1\n   ans.append(c)\n  for i in range(m):\n   a,b=list(map(int,input().split()))\n   if b-a<2:\n    print('NO')\n    continue\n   b-=2\n   a-=1\n   if ans[b]-ans[a]==0:\n    print('NO')\n   else:\n    print('YES')\n   \n\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13801