from collections import defaultdict, deque, Counter # from functools import cache # import copy from itertools import combinations, permutations, product, accumulate, groupby, chain # from more_itertools import distinct_permutations from heapq import heapify, heappop, heappush import math import bisect # from pprint import pprint from random import randint, shuffle, randrange # from sortedcontainers import SortedSet, SortedList, SortedDict import sys # sys.setrecursionlimit(2000000) input = lambda: sys.stdin.readline().rstrip('\n') inf = float('inf') mod1 = 10**9+7 mod2 = 998244353 def ceil_div(x, y): return -(-x//y) ################################################# # https://github.com/shakayami/ACL-for-python/blob/master/segtree.py class segtree(): n=1 size=1 log=2 d=[0] op=None e=10**15 def __init__(self,V,OP,E): self.n=len(V) self.op=OP self.e=E self.log=(self.n-1).bit_length() self.size=1<>i) def get(self,p): assert 0<=p and p>=1 r>>=1 return self.op(sml,smr) def all_prod(self): return self.d[1] def max_right(self,l,f): assert 0<=l and l<=self.n assert f(self.e) if l==self.n: return self.n l+=self.size sm=self.e while(1): while(l%2==0): l>>=1 if not(f(self.op(sm,self.d[l]))): while(l1 and (r%2)): r>>=1 if not(f(self.op(self.d[r],sm))): while(r