import random class Polynomial: def __init__(self,polynomial,max_degree=-1,eps=0,mod=0): self.max_degree=max_degree if self.max_degree!=-1 and len(polynomial)>self.max_degree+1: self.polynomial=polynomial[:self.max_degree+1] else: self.polynomial=polynomial self.mod=mod self.eps=eps def __eq__(self,other): if type(other)!=Polynomial: return False if len(self.polynomial)!=len(other.polynomial): return False for i in range(len(self.polynomial)): if self.epsself.max_degree+1: prod=prod[:self.max_degree+1] while prod and abs(prod[-1])<=self.eps: prod.pop() prod=Polynomial(prod,max_degree=self.max_degree,eps=self.eps,mod=self.mod) return prod def __pow__(self,other): if other==0: prod=Polynomial([1],max_degree=self.max_degree,eps=self.eps,mod=self.mod) elif other==1: prod=Polynomial([x for x in self.polynomial],max_degree=self.max_degree,eps=self.eps,mod=self.mod) else: prod=[1] doub=self.polynomial if self.mod: convolve=NTT convolve_Pow=NTT_Pow else: convolve=FFT convolve_Pow=FFT_Pow while other>=2: if other&1: prod=convolve(prod,doub) if self.max_degree!=-1: prod=prod[:self.max_degree+1] doub=convolve_Pow(doub,2) if self.max_degree!=-1: doub=doub[:self.max_degree+1] other>>=1 prod=convolve(prod,doub) if self.max_degree!=-1: prod=prod[:self.max_degree+1] prod=Polynomial(prod,max_degree=self.max_degree,eps=self.eps,mod=self.mod) return prod def __truediv__(self,other): if type(other)==Polynomial: assert other.polynomial for n in range(len(other.polynomial)): if self.epsn for i in range(n): assert abs(self.polynomial[i])<=self.eps self_polynomial=self.polynomial[n:] other_polynomial=other.polynomial[n:] if self.mod: inve=MOD(self.mod).Pow(other_polynomial[0],-1) else: inve=1/other_polynomial[0] quot=[] for i in range(len(self_polynomial)-len(other_polynomial)+1): if self.mod: quot.append(self_polynomial[i]*inve%self.mod) else: quot.append(self_polynomial[i]*inve) for j in range(len(other_polynomial)): self_polynomial[i+j]-=other_polynomial[j]*quot[-1] if self.mod: self_polynomial[i+j]%=self.mod for i in range(max(0,len(self_polynomial)-len(other_polynomial)+1),len(self_polynomial)): if self.eps>bit,self.mod) U=[1] for _ in range(a): U.append(U[-1]*x%self.mod) for i in range(1<>bit,self.mod) U=[1] for _ in range(a): U.append(U[-1]*x%self.mod) for i in range(1<=self.eps: n0=self.polynomial[cnt0]**.5 if n0==None: sqrt=None else: def f(prev): if self.mod: return NTT_Pow(prev,2)+[0] else: return FFT_Pow(prev,2)+[0] def differentiated_f(prev): retu=[0]*(2*len(prev)-1) for i in range(len(prev)): retu[i]+=2*prev[i] if self.mod: retu[i]%self.mod return retu sqrt=[0]*(cnt0//2)+Polynomial(self.polynomial[cnt0:],max_degree=self.max_degree-cnt0//2,mod=self.mod).Newton(n0,f,differentiated_f).polynomial sqrt=Polynomial(sqrt,max_degree=self.max_degree,eps=self.eps,mod=self.mod) else: sqrt=Polynomial([],max_degree=self.max_degree,eps=self.eps,mod=self.mod) return sqrt def Exp(self): assert not self.polynomial or abs(self.polynomial[0])<=self.eps def f(prev,poly): newton=Polynomial(prev,max_degree=2*len(prev)-1,eps=self.eps,mod=self.mod).log().polynomial newton+=[0]*(2*len(prev)-len(newton)) for i in range(min(len(poly),len(newton))): newton[i]-=poly[i] if self.mod: for i in range(len(newton)): newton[i]%=self.mod if self.mod: return NTT(prev,newton)[:2*len(prev)] else: return FFT(prev,newton)[:2*len(prev)] return Polynomial(self.polynomial,max_degree=self.max_degree,mod=self.mod).Newton(1,f) def Degree(self): return len(self.polynomial)-1 def Extended_Euclid(n,m): stack=[] while m: stack.append((n,m)) n,m=m,n%m if n>=0: x,y=1,0 else: x,y=-1,0 for i in range(len(stack)-1,-1,-1): n,m=stack[i] x,y=y,x-(n//m)*y return x,y class MOD: def __init__(self,p,e=None): self.p=p self.e=e if self.e==None: self.mod=self.p else: self.mod=self.p**self.e def Pow(self,a,n): a%=self.mod if n>=0: return pow(a,n,self.mod) else: #assert math.gcd(a,self.mod)==1 x=Extended_Euclid(a,self.mod)[0] return pow(x,-n,self.mod) def Build_Fact(self,N): assert N>=0 self.factorial=[1] if self.e==None: for i in range(1,N+1): self.factorial.append(self.factorial[-1]*i%self.mod) else: self.cnt=[0]*(N+1) for i in range(1,N+1): self.cnt[i]=self.cnt[i-1] ii=i while ii%self.p==0: ii//=self.p self.cnt[i]+=1 self.factorial.append(self.factorial[-1]*ii%self.mod) self.factorial_inve=[None]*(N+1) self.factorial_inve[-1]=self.Pow(self.factorial[-1],-1) for i in range(N-1,-1,-1): ii=i+1 while ii%self.p==0: ii//=self.p self.factorial_inve[i]=(self.factorial_inve[i+1]*ii)%self.mod def Build_Inverse(self,N): self.inverse=[None]*(N+1) assert self.p>N self.inverse[1]=1 for n in range(2,N+1): if n%self.p==0: continue a,b=divmod(self.mod,n) self.inverse[n]=(-a*self.inverse[b])%self.mod def Inverse(self,n): return self.inverse[n] def Fact(self,N): if N<0: return 0 retu=self.factorial[N] if self.e!=None and self.cnt[N]: retu*=pow(self.p,self.cnt[N],self.mod)%self.mod retu%=self.mod return retu def Fact_Inve(self,N): if self.e!=None and self.cnt[N]: return None return self.factorial_inve[N] def Comb(self,N,K,divisible_count=False): if K<0 or K>N: return 0 retu=self.factorial[N]*self.factorial_inve[K]%self.mod*self.factorial_inve[N-K]%self.mod if self.e!=None: cnt=self.cnt[N]-self.cnt[N-K]-self.cnt[K] if divisible_count: return retu,cnt else: retu*=pow(self.p,cnt,self.mod) retu%=self.mod return retu N,K=map(int,input().split()) A=list(map(int,input().split())) mod=(1<<61)-1 rand=[random.randint(1<<20,1<<25) for i in range(N)] P=Polynomial(polynomial=[1],max_degree=K,mod=mod) for i,a in enumerate(A): poly=[0]*(a+1) poly[0]+=1 poly[a]+=1 P*=Polynomial(polynomial=poly,max_degree=K,mod=mod) Q=int(input()) for q in range(Q): x,v=map(int,input().split()) x-=1 poly=[0]*(A[x]+1) poly[0]+=1 poly[A[x]]+=1 P/=Polynomial(polynomial=poly,max_degree=K,mod=mod) A[x]=v poly=[0]*(A[x]+1) poly[0]+=1 poly[A[x]]+=1 P*=Polynomial(polynomial=poly,max_degree=K,mod=mod) if P[K]: ans=1 else: ans=0 print(ans)