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 = '\n\n\nT = int(input())\nfor test in range(T):\n N, Q = [int(v) for v in input().split()]\n S = input()\n start_points = [len(set(S[i:i+3])) < 3 for i in range(N-2)]\n if N < 3:\n  count = []\n else:\n  counts = [int(start_points[0])]+[0]*(N-3)\n  for i in range(1,N-2):\n   counts[i] = counts[i-1]+start_points[i]\n # print("counts = "+str(counts))\n for query in range(Q):\n  L, R = [int(v) for v in input().split()]\n  if L+2 > R:\n   print("NO")\n   continue\n  if L == 1:\n   left = 0\n  else:\n   left = counts[L-2]\n  right = counts[R-3]\n  # print("query = "+str((L,R))+" left, right = "+str((left,right)))\n  if left < right:\n   print("YES")\n  else:\n   print("NO")\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13371