#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(a);i>(b);i--) #define ALL(v) (v).begin(),(v).end() typedef long long int ll; const int inf = 0x3fffffff; const ll INF = 0x3fffffffffffffff; template inline bool chmax(T& a,T b){ if(a inline bool chmin(T& a,T b){ if(a>b){a=b;return 1;}return 0; } //template end int mod=998244353; struct Mint { int val; Mint inv() const{ int tmp,a=val,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); return Mint(x); } public: Mint():val(0){} Mint(ll x){if((val=x%mod)<0)val+=mod;} Mint pow(ll t){Mint res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;}return res;} Mint& operator+=(const Mint& x){if((val+=x.val)>=mod)val-=mod;return *this;} Mint& operator-=(const Mint& x){if((val+=mod-x.val)>=mod)val-=mod; return *this;} Mint& operator*=(const Mint& x){val=(ll)val*x.val%mod; return *this;} Mint& operator/=(const Mint& x){return *this*=x.inv();} Mint operator+(const Mint& x) const{return Mint(*this)+=x;} Mint operator-(const Mint& x) const{return Mint(*this)-=x;} Mint operator*(const Mint& x) const{return Mint(*this)*=x;} Mint operator/(const Mint& x) const{return Mint(*this)/=x;} }; struct factorial { vector Fact, Finv; public: factorial(int maxx){ Fact.resize(maxx+1),Finv.resize(maxx+1); Fact[0]=Mint(1); rep(i,0,maxx)Fact[i+1]=Fact[i]*(i+1); Finv[maxx]=Mint(1)/Fact[maxx]; rrep(i,maxx,0)Finv[i-1]=Finv[i]*i; } Mint fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];} Mint nPr(int n,int r){if(n<0||n st; int x=1; while(1){ if(st.size()==m-1)return i; if(st.count(x))break; st.insert(x); x=x*i%m; } }return -1; } Mint prt=3; void ntt(vector &a,bool inv=0){ int s=a.size(),t=s/2-1; if(s==1)return; vector ev(s/2),od(s/2); rep(i,0,s/2)ev[i]=a[i*2],od[i]=a[i*2+1]; ntt(ev,inv); ntt(od,inv); Mint w_0=prt.pow((mod-1)/s),w=1; if(inv)w_0=w_0.inv(); rep(i,0,s)a[i]=ev[i&t]+w*od[i&t],w*=w_0; } void v_mul(vector &a,vector b){ int n=1; while(n x(n),y(n); rep(i,0,a.size())x[i]=Mint(a[i]); rep(i,0,b.size())y[i]=Mint(b[i]); ntt(x); ntt(y); rep(i,0,n)x[i]*=y[i]; ntt(x,1); rep(i,0,n)x[i]/=n; a.resize(n); rep(i,0,n)a[i]=x[i].val; } int main(){ int p; scanf("%d",&p); vector x(p),y(p); rep(i,1,p)scanf("%d",&x[i]); rep(i,1,p)scanf("%d",&y[i]); if(p==2){ printf("%lld\n",(1LL*x[1]*y[1])%p); return 0; } int rt=get_root(p); vector a(100010),b(100010); int idx=1; rep(i,0,p-1){ a[i]=x[idx]; b[i]=y[idx]; idx=(idx*rt)%p; } v_mul(a,b); vector ans(p,0); idx=1; rep(i,0,a.size()){ ans[idx]+=a[i]; idx=idx*rt%p; } rep(i,1,p)printf("%d\n",ans[i].val); return 0; }