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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<cstdlib> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define eps 1e-8 #define succ(x) (1<<x) #define lowbit(x) (x&(-x)) #define sqr(x) ((x)*(x)) #define NM 300005 #define nm 300005 using namespace std; const double pi=acos(-1); const ll inf=998244353; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
int n; ll a[NM],b[NM],_a[NM],_b[NM];
ll qpow(ll x,ll t){return t?qpow(sqr(x)%inf,t>>1)*(t&1?x:1ll)%inf:1ll;}
struct FFT{ int n,bit,rev[NM]; ll b[NM],invn; void fft(ll*a,int f){ inc(i,0,n-1)if(i<rev[i])swap(a[i],a[rev[i]]); for(int k=1;k<n;k<<=1){ ll t=qpow(3,(inf-1)/k/2);if(f==-1)t=qpow(t,inf-2); for(int i=0;i<n;i+=k<<1){ ll w=1; for(int j=0;j<k;j++,w=w*t%inf){ ll x=a[i+j],y=w*a[i+j+k]%inf; a[i+j]=(x+y)%inf;a[i+j+k]=(x-y+inf)%inf; } } } } int plu(ll*a,ll*_b,int p,int m){ inc(i,0,m-1)b[i]=_b[i]; for(n=p+m+1,bit=0;succ(bit)<n;bit++);n=succ(bit); invn=qpow(n,inf-2);inc(i,p,n-1)a[i]=0; inc(i,1,n-1)rev[i]=(rev[i>>1]>>1)|((i&1)<<(bit-1)); fft(a,1);fft(b,1);inc(i,0,n-1)a[i]=a[i]*b[i]%inf; fft(a,-1);inc(i,0,n-1)a[i]=a[i]*invn%inf; inc(i,0,n-1)b[i]=0; return m+p; } }fft;
ll Sqrt(ll t){ ll a=0,w; if(qpow(t,inf-1>>1)+1==inf)return -1; srand(time(0)); do{ a=rand()%inf; w=(sqr(a)-t+inf)%inf; }while(qpow(w,inf-1>>1)+1!=inf); ll ans=1,_ans=0,_x,_y; for(ll n=inf+1>>1,x=a,y=1;n;n>>=1){ if(n&1){ _x=ans*x%inf+_ans*y%inf*w%inf; _y=ans*y%inf+_ans*x%inf; ans=_x%inf;_ans=_y%inf; } _x=x*x%inf+y*y%inf*w%inf; _y=2*x*y%inf; x=_x%inf;y=_y%inf; } return ans; }
void inv(ll*b,ll*a,int m){ if(m==1){b[0]=qpow(a[0],inf-2);return;} inv(b,a,m+1>>1); inc(i,0,m-1)_b[i]=b[i]; fft.plu(_b,a,m,m); inc(i,0,m-1)_b[i]=-_b[i]; _b[0]+=2; fft.plu(b,_b,m,m); }
void _sqrt(ll*b,ll*a,int m){ if(m==1){b[0]=Sqrt(a[0]);b[0]=min(b[0],inf-b[0]);return;} _sqrt(b,a,m+1>>1); inv(_a,b,m); fft.plu(b,b,m,m); inc(i,0,m-1)b[i]+=a[i],_a[i]=_a[i]*(inf-inf/2)%inf,b[i]%=inf,_a[i]%=inf; fft.plu(b,_a,m,m); }
int main(){ n=read();inc(i,0,n-1)a[i]=read(); _sqrt(b,a,n); inc(i,0,n-1)printf("%lld%c",b[i]," \n"[i==n-1]); return 0; }
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