from collections import deque, defaultdict, Counter from bisect import bisect_left, bisect_right from itertools import permutations, combinations, groupby from functools import cache from heapq import heappop, heappush import math, sys input = lambda: sys.stdin.readline().rstrip("\r\n") def printl(li, sep=" "): print(sep.join(map(str, li))) _int = lambda x: int(x)-1 MOD = 998244353 #10**9+7 INF = 1<<60 Yes, No = "Yes", "No" # https://github.com/tatyam-prime/SortedSet/blob/main/SortedMultiset.py import math from bisect import bisect_left, bisect_right from typing import Generic, Iterable, Iterator, TypeVar Type = TypeVar('Type') class SortedMultiset(Generic[Type]): BUCKET_RATIO = 16 SPLIT_RATIO = 24 def __init__(self, a: Iterable[Type] = []) -> None: # Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N) a = list(a) n = self.size = len(a) if any(a[i] > a[i + 1] for i in range(n - 1)): a.sort() num_bucket = int(math.ceil(math.sqrt(n / self.BUCKET_RATIO))) self.a = [a[n * i // num_bucket : n * (i + 1) // num_bucket] for i in range(num_bucket)] def __iter__(self) -> Iterator[Type]: for i in self.a: for j in i: yield j def __reversed__(self) -> Iterator[Type]: for i in reversed(self.a): for j in reversed(i): yield j def __eq__(self, other) -> bool: return list(self) == list(other) def __len__(self) -> int: return self.size def __repr__(self) -> str: return 'SortedMultiset' + str(self.a) def __str__(self) -> str: s = str(list(self)) return '{' + s[1 : len(s) - 1] + '}' def _position(self, x: Type) -> tuple[list[Type], int, int]: # return the bucket, index of the bucket and position in which x should be. self must not be empty. for i, a in enumerate(self.a): if x <= a[-1]: break return (a, i, bisect_left(a, x)) def __contains__(self, x: Type) -> bool: if self.size == 0: return False a, _, i = self._position(x) return i != len(a) and a[i] == x def count(self, x: Type) -> int: # Count the number of x. return self.index_right(x) - self.index(x) def add(self, x: Type) -> None: # Add an element. / O(√N) if self.size == 0: self.a = [[x]] self.size = 1 return a, b, i = self._position(x) a.insert(i, x) self.size += 1 if len(a) > len(self.a) * self.SPLIT_RATIO: mid = len(a) >> 1 self.a[b:b+1] = [a[:mid], a[mid:]] def _pop(self, a: list[Type], b: int, i: int) -> Type: ans = a.pop(i) self.size -= 1 if not a: del self.a[b] return ans def discard(self, x: Type) -> bool: # Remove an element and return True if removed. / O(√N) if self.size == 0: return False a, b, i = self._position(x) if i == len(a) or a[i] != x: return False self._pop(a, b, i) return True def lt(self, x: Type) -> Type | None: # Find the largest element < x, or None if it doesn't exist. for a in reversed(self.a): if a[0] < x: return a[bisect_left(a, x) - 1] def le(self, x: Type) -> Type | None: # Find the largest element <= x, or None if it doesn't exist. for a in reversed(self.a): if a[0] <= x: return a[bisect_right(a, x) - 1] def gt(self, x: Type) -> Type | None: # Find the smallest element > x, or None if it doesn't exist. for a in self.a: if a[-1] > x: return a[bisect_right(a, x)] def ge(self, x: Type) -> Type | None: # Find the smallest element >= x, or None if it doesn't exist. for a in self.a: if a[-1] >= x: return a[bisect_left(a, x)] def __getitem__(self, i: int) -> Type: # Return the i-th element. if i < 0: for a in reversed(self.a): i += len(a) if i >= 0: return a[i] else: for a in self.a: if i < len(a): return a[i] i -= len(a) raise IndexError def pop(self, i: int = -1) -> Type: # Pop and return the i-th element. if i < 0: for b, a in enumerate(reversed(self.a)): i += len(a) if i >= 0: return self._pop(a, ~b, i) else: for b, a in enumerate(self.a): if i < len(a): return self._pop(a, b, i) i -= len(a) raise IndexError def index(self, x: Type) -> int: # Count the number of elements < x. ans = 0 for a in self.a: if a[-1] >= x: return ans + bisect_left(a, x) ans += len(a) return ans def index_right(self, x: Type) -> int: # Count the number of elements <= x. ans = 0 for a in self.a: if a[-1] > x: return ans + bisect_right(a, x) ans += len(a) return ans import array def Mo(N: int, Q: int, _A: list[int], qs: list[tuple[int, int, int, int, str]]): B = int(N/(Q**0.5 * 0.8)) + 1 A = array.array('I', _A) qs.sort(key=lambda x: (x[0] // B, x[1] if (x[0] // B) % 2 == 0 else -x[1])) # 状態管理変数 ans = [0] * Q cnt = array.array('I', [0] * (max(A) + 1)) cur_res = 0 cur_l, cur_r = 0, 0 S = SortedMultiset() T = SortedMultiset() def insert(x): left = S.le(x) right = S.gt(x) S.add(x) if not left and not right: return if left and right: T.discard(right-left) if left: T.add(x-left) if right: T.add(right-x) def discard(x): S.discard(x) left = S.le(x) right = S.gt(x) if not left and not right: return if left and right: T.add(right-left) if left: T.discard(x-left) if right: T.discard(right-x) def answer(x, c): if c == "L": res = T.le(x) else: res = T.ge(x) if res == None: res = -1 return res # クエリ処理 (インライン展開版) # 関数 add/delete を作らず、直接 while の中にロジックを書く for l, r, idx, x, c in qs: # [l, r) -> [l-1, r) while cur_l > l: cur_l -= 1 val = A[cur_l] insert(val) # [l, r) -> [l, r+1) while cur_r < r: val = A[cur_r] insert(val) cur_r += 1 # [l, r) -> [l+1, r) while cur_l < l: val = A[cur_l] discard(val) cur_l += 1 # [l, r) -> [l, r-1) while cur_r > r: cur_r -= 1 val = A[cur_r] discard(val) ans[idx] = answer(x, c) return ans def ctypes(li, types): assert len(li) == len(types) return [t(a) for a, t in zip(li, types)] def tinput(*types): li = input().split() return ctypes(li, types) N, Q = map(int, input().split()) A = list(map(int, input().split())) qs = [] for i in range(Q): l, r, x, c = tinput(_int, _int, int, str) qs.append((l, r+1, i, x, c)) ans = Mo(N, Q, A, qs) printl(ans, "\n")