from sys import stdin,setrecursionlimit#,set_int_max_str_digits #import pypyjit #pypyjit.set_param('max_unroll_recursion=-1') #setrecursionlimit(250000) # これこどふぉだと無理 #set_int_max_str_digits(200010) mod = 998244353 ii = lambda :int(stdin.readline()) mi = lambda :map(int,stdin.readline().split()) li = lambda :list(mi()) gmi = lambda :map(lambda x: int(x) - 1, stdin.readline().split()) gi = lambda :list(map(lambda x: -1 if x == "." else 1,input())) # グリッド入力受け取り py = lambda :print("Yes") pn = lambda :print("No") pf = lambda :print("First") ps = lambda :print("Second") vec = [(1,0),(-1,0),(0,-1),(0,1)] vec1 = [(1,0),(1,1),(0,1),(-1,1),(-1,0),(-1,-1),(0,-1),(1,-1)] #8方向 vec2 = [(1,1),(1,0),(0,-1),(-1,-1),(-1,0),(0,1)] # 六角形グリッド inf = 2*10**18 from collections import defaultdict,deque from heapq import heappop,heappush class segtree(): ''' V:初期リスト,OP:関数,E:単位元 ''' 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 & (r%2)): r>>=1 if not(f(self.op(self.d[r],sm))): while(r