#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++) #define ALL(v) (v).begin(),(v).end() typedef long long int ll; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12; templateinline bool chmax(T& a,T b){if(ainline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} //end templatestruct fp { using uint=unsigned; uint v; static uint get_mod(){return mod;} int inv() const{ int tmp,a=v,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); if(x<0){x+=mod;} return x; } fp(ll x=0){init(x%mod+mod);} fp& init(uint x){v=(x>=1;} return res;} fp& operator+=(const fp& x){return init(v+x.v);} fp& operator-=(const fp& x){return init(v+mod-x.v);} fp& operator*=(const fp& x){v=ll(v)*x.v%mod; return *this;} fp& operator/=(const fp& x){v=ll(v)*x.inv()%mod; return *this;} fp operator+(const fp& x)const{return fp(*this)+=x;} fp operator-(const fp& x)const{return fp(*this)-=x;} fp operator*(const fp& x)const{return fp(*this)*=x;} fp operator/(const fp& x)const{return fp(*this)/=x;} bool operator==(const fp& x)const{return v==x.v;} bool operator!=(const fp& x)const{return v!=x.v;} }; using Fp=fp<>; templatestruct factorial { vector Fact,Finv,Inv; factorial(int maxx){ Fact.resize(maxx); Finv.resize(maxx); Inv.resize(maxx); Fact[0]=Fact[1]=Finv[0]=Finv[1]=Inv[1]=1; rep(i,2,maxx){Fact[i]=Fact[i-1]*i;} Finv[maxx-1]=Fact[maxx-1].inv(); for(int i=maxx-1;i>=2;i--){Finv[i-1]=Finv[i]*i; Inv[i]=Finv[i]*Fact[i-1];} } T fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];} T inv(int n){return Inv[n];} T nPr(int n,int r){if(n<0||nstruct NTT{ vector rt,irt; NTT(int lg=21){ unsigned m=T::get_mod()-1; T prt=p; rt.resize(lg); irt.resize(lg); rep(k,0,lg){ rt[k]=-prt.pow(m>>(k+2)); irt[k]=rt[k].inv(); } } void ntt(vector& f,bool inv=0){ int n=f.size(); if(inv){ for(int m=1;m>=1;){ T w=1; for(int s=0,t=0;s mult(const vector& a,const vector& b,bool same=0){ if(a.empty() and b.empty())return vector(); int n=a.size()+b.size()-1,m=1<<__lg(n*2-1); vector res(m); rep(i,0,a.size()){res[i]=a[i];} ntt(res); if(same)rep(i,0,m)res[i]*=res[i]; else{ vector c(m); rep(i,0,b.size())c[i]=b[i]; ntt(c); rep(i,0,m)res[i]*=c[i]; } ntt(res,1); return res; } }; ll mod(ll a,ll m){return (a%m+m)%m;} ll mpow(ll a,ll t,ll m){ ll res=1; while(t){ if(t&1)res=mod(res*a,m); a=mod(a*a,m); t>>=1; } return res; } ll minv(ll a,ll m){ ll b=m,u=1,v=0; while(b){ ll t=a/b; a-=t*b; swap(a,b); u-=t*v; swap(u,v); } u=mod(u,m); return u; } int get_root(int p){ vector ds; int q=p-1; for(ll x=1;x*x<=q;x++)if(q%x==0){ ds.push_back(x); if(x*x!=q)ds.push_back(q/x); } sort(ALL(ds)); ds.pop_back(); for(int x=1;x<=q;x++){ for(auto& d:ds){ if(mpow(x,d,p)==1)goto fail; } return x; fail:; } assert(0); } NTT ntt; int main(){ int p; cin>>p; vector x(p),y(p); rep(i,1,p)cin>>x[i]; rep(i,1,p)cin>>y[i]; if(p==2){ cout< a(100010),b(100010); int idx=1; rep(i,0,p-1){ a[i]=x[idx]; b[i]=y[idx]; idx=mod(1LL*idx*rt,p); } auto c=ntt.mult(a,b); vector res(p); idx=1; rep(i,0,c.size()){ res[idx]+=c[i]; idx=mod(1LL*idx*rt,p); } rep(i,1,p)cout<