1 #include <iostream> 2 #include <cstdio> 3 #include <cstring> 4 #include <cmath> 5 #include <algorithm> 6 using namespace std; 7 const int maxn=400005; 8 const double PI=acos(-1); 9 struct node{10     double real,imag;11     void clear(){real=imag=0;}12     node operator +(const node &x){return (node){real+x.real,imag+x.imag};}13     node operator -(const node &x){return (node){real-x.real,imag-x.imag};}14     node operator *(const node &x){return (node){real*x.real-imag*x.imag,real*x.imag+imag*x.real};}15 }q[maxn],p[maxn],A[maxn],t1,t2,w,wn;16 int m,n,len,rev[maxn];17 int Rev(int x){18     int temp=0;19     for (int i=1;i<=len;i++){temp<<=1,temp+=(x&1),x>>=1;}20     return temp;21 }22 void FFT(node *a,int op){23     for (int i=0;i<n;i++) if (i<rev[i]) swap(a[i],a[rev[i]]);24     for (int s=2;s<=n;s<<=1){25         wn=(node){cos(2.0*op*PI/s),sin(2.0*op*PI/s)};26         for (int i=0;i<n;i+=s){27             w=(node){1,0};28             for (int j=i;j<i+s/2;j++,w=w*wn){29                 t1=a[j],t2=w*a[j+s/2];30                 a[j]=t1+t2,a[j+s/2]=t1-t2;31             }32         }33     }34 }35 int main(){36     scanf("%d",&m); n=1,len=0;37     while (n<(m<<1)) n<<=1,len++;38     for (int i=0;i<n;i++) rev[i]=Rev(i);39     for (int i=0;i<n;i++) p[i].clear(),q[i].clear();40     for (int i=1;i<=m;i++) scanf("%lf",&q[i].real);41     for (int i=0;i<m;i++) p[i].real=-1.0/(i-m)/(i-m);42     p[m].real=0; for (int i=m+1;i<n;i++) p[i].real=1.0/(i-m)/(i-m);43     FFT(q,1),FFT(p,1);44     for (int i=0;i<n;i++) A[i]=q[i]*p[i];45     FFT(A,-1);46     for (int i=0;i<n;i++) A[i].real=1.0*A[i].real/n;47     for (int i=1;i<=m;i++) printf("%.3lf\n",A[m+i].real);48     return 0;49 }50