Tirpitz__ @ 2021-11-28 10:55:04
#include<bits/stdc++.h>
using namespace std;
#define il inline void
#define ll long long
#define inf 0x3f3f3f3f
#define maxx(a,b) (a>b?a:b)
#define minn(a,b) (a<b?a:b)
#define reg register
#define pii pair<int,int>
#define x first
#define y second
#define mp make_pair
#define pb push_back
#define mcp(n,x) memcpy(n,x,sizeof(x))
#define itn int
#define cosnt const
#define mem(n,x) memset(n,x,sizeof(n))
struct control{
int ct,val;
control(int Ct,int Val=-1):ct(Ct),val(Val){}
inline control operator()(int Val){
return control(ct,Val);
}
}_endl(0),_prs(1),_setprecision(2);
struct FastIO{
#define IOSIZE 10000000
char in[IOSIZE],*p,*pp,out[IOSIZE],*q,*qq,ch[20],*t,b,K,prs;
FastIO():p(in),pp(in),q(out),qq(out+IOSIZE),t(ch),b(1),K(6){}
~FastIO(){fwrite(out,1,q-out,stdout);}
inline char getch(){
return p==pp&&(pp=(p=in)+fread(in,1,IOSIZE,stdin),p==pp)?b=0,EOF:*p++;
}
inline void putch(char x){
q==qq&&(fwrite(out,1,q-out,stdout),q=out),*q++=x;
}
inline void puts(const char str[]){fwrite(out,1,q-out,stdout),fwrite(str,1,strlen(str),stdout),q=out;}
inline void getline(string& s){
s="";
for(reg char ch;(ch=getch())!='\n'&&b;)s+=ch;
}
#define indef(T) inline FastIO& operator>>(T& x){\
x=0;reg char f=0,ch;\
while(!isdigit(ch=getch())&&b)f|=ch=='-';\
while(isdigit(ch))x=(x<<1)+(x<<3)+(ch^48),ch=getch();\
return x=f?-x:x,*this;\
}
indef(int)
indef(long long)
inline FastIO& operator>>(char& ch){return ch=getch(),*this;}
inline FastIO& operator>>(string& s){
s="";reg char ch;
while(isspace(ch=getch())&&b);
while(!isspace(ch)&&b)s+=ch,ch=getch();
return *this;
}
inline FastIO& operator>>(double& x){
x=0;reg char f=0,ch;
double d=0.1;
while(!isdigit(ch=getch())&&b)f|=(ch=='-');
while(isdigit(ch))x=x*10+(ch^48),ch=getch();
if(ch=='.')while(isdigit(ch=getch()))x+=d*(ch^48),d*=0.1;
return x=f?-x:x,*this;
}
#define outdef(_T) inline FastIO& operator<<(_T x){\
!x&&(putch('0'),0),x<0&&(putch('-'),x=-x);\
while(x)*t++=x%10+48,x/=10;\
while(t!=ch)*q++=*--t;\
return *this;\
}
outdef(int)
outdef(long long)
inline FastIO& operator<<(char ch){return putch(ch),*this;}
inline FastIO& operator<<(const char str[]){return puts(str),*this;}
inline FastIO& operator<<(const string& s){return puts(s.c_str()),*this;}
inline FastIO& operator<<(double x){
reg int k=0;
this->operator<<(int(x));
putch('.');
x-=int(x);
prs&&(x+=5*pow(10,-K-1));
while(k<K)putch(int(x*=10)^48),x-=int(x),++k;
return *this;
}
inline FastIO& operator<<(const control& cl){
switch(cl.ct){
case 0:putch('\n');break;
case 1:prs=cl.val;break;
case 2:K=cl.val;break;
}
}
inline operator bool(){return b;}
}io;
#define int ll
const double Pi=acos(-1);
const int N=3000005;
struct Complex{
double x,y;
Complex operator +(const Complex& t) const
{
return {x+t.x,y+t.y};
}
Complex operator -(const Complex& t) const
{
return {x-t.x,y-t.y};
}
Complex operator *(const Complex& t) const
{
return {x*t.x-y*t.y,x*t.y+y*t.x};
}
Complex operator /(const double& t) const
{
return {x/t,y/t};
}
Complex operator *(const double& t) const
{
return {x*t,y*t};
}
Complex conj()
{
return {x,-y};
}
}a0[N],b0[N],a1[N],b1[N],p[N],q[N];
Complex I={0,1};
int n,m,mod;
int rev[N],bit,tot;
ll num(double x)
{
return x<0?(ll)(x-0.5)%mod:(ll)(x+0.5)%mod;
}
void fft(Complex a[],int inv)
{
for(int i=0;i<tot;++i)
if(i<rev[i])
swap(a[rev[i]],a[i]);
for(int mid=1;mid<tot;mid<<=1)
{
auto w1=Complex{cos(Pi/mid),inv*sin(Pi/mid)};
for(int i=0;i<tot;i+=mid*2)
{
auto wk=Complex{1,0};
for(int j=0;j<mid;j++,wk=wk*w1)
{
auto x=a[i+j],y=wk*a[i+j+mid];
a[i+j]=x+y,a[i+j+mid]=x-y;
}
}
}
if(inv==-1)
{
for(int i=0;i<tot;++i)
a[i]=a[i]/tot;
}
}
void fft2(Complex a[],Complex b[],int inv)
{
for(int i=0;i<tot;++i) a[i]=a[i]+I*b[i];
fft(a,inv);
for(int i=0;i<tot;++i) b[i]=a[i?tot-i:0].conj();
for(int i=0;i<tot;++i)
{
auto x=a[i],y=b[i];
a[i]=(x+y)*0.5;
b[i]=(x-y)*0.5*I;
}
}
signed main()
{
#ifdef CHECK
freopen("test.txt","r",stdin);
freopen("rua.txt","w",stdout);
double times=clock();
#endif
#ifndef ONLINE_JUDGE
#ifndef CHECK
freopen(".in","r",stdin);
freopen(".out","w",stdout);
#endif
#endif
io>>n>>m>>mod;
int temp;
for(int i=0;i<=n;++i)
{
io>>temp;
temp%=mod;
a0[i].x=temp>>15;
a1[i].x=temp&0x7fff;
}
for(int i=0;i<=m;++i)
{
io>>temp;
temp%=mod;
b0[i].x=temp>>15;
b1[i].x=temp&0x7fff;
}
while((1<<bit)<=n+m)
bit++;
tot=1<<bit;
for(int i=0;i<tot;++i)
rev[i]=(rev[i>>1]>>1)|((i&1)<<(bit-1));
fft2(a0,a1,1);
fft2(b0,b1,1);
for(int i=0;i<tot;++i)
{
p[i]=a0[i]*b0[i]+I*a1[i]*b0[i];
q[i]=a0[i]*b1[i]+I*a1[i]*b1[i];
}
fft(p,-1);
fft(q,-1);
for(int i=0;i<=n+m;++i)
{
printf("%lld ",(((num(p[i].x)<<30ll)%mod+(num(p[i].y)<<15ll)%mod+(num(q[i].x)<<15ll)%mod+(num(q[i].y))%mod)%mod+mod)%mod);
}
#ifdef CHECK
printf("%lf\n",(clock()-times)/1000);
#endif
return 0;
}