from sys import stdin input=lambda :stdin.readline()[:-1] class segtree(): def __init__(self,init,func,ide): self.n=len(init) self.func=func self.ide=ide self.size=1<<(self.n-1).bit_length() self.tree=[self.ide for i in range(2*self.size)] for i in range(self.n): self.tree[self.size+i]=init[i] for i in range(self.size-1,0,-1): self.tree[i]=self.func(self.tree[2*i], self.tree[2*i|1]) def update(self,k,x): k+=self.size self.tree[k]=x k>>=1 while k: self.tree[k]=self.func(self.tree[2*k],self.tree[k*2|1]) k>>=1 def get(self,i): return self.tree[i+self.size] def query(self,l,r): l+=self.size r+=self.size l_res=self.ide r_res=self.ide while l>=1 r>>=1 return self.func(l_res,r_res) def max_right(self,l,f): assert 0<=l<=self.n assert f(self.ide) if l==self.n: return self.n l+=self.size res=self.ide while True: while l&1==0: l>>=1 if not f(self.func(res,self.tree[l])): while l1 and r&1: r>>=1 if not f(self.func(self.tree[r],res)): while rn: return 0 if n>table_size: rebuild(n+10**4) return (fac[n]*finv[k]%mod)*finv[n-k]%mod def fpow(x,k): res=1 while k: if k&1: res=res*x%mod x=x*x%mod k>>=1 return res def inv(a): if a