#include <stdio.h>
#include <math.h>
typedef double _Complex c;
void pc(c a){printf("%14.7e + %14.7ei\n",
   __real__ a, __imag__ a);}
c Sqrt(c x){
double A = __real__ x, B = __imag__ x;
if(A < 0) return 1.i* Sqrt(-x);
{double r = sqrt((A + sqrt(A*A + B*B))/2);
return r + 1i*(B/(2*r));}}

void fft(c a[], const int n){
  {int j=0, i; for(i=0; i<n-1; ++i) {
    if(i<j) {c t=a[j]; a[j]=a[i]; a[i]=t;}
    {int m=n/2; while(m<=j) {j -= m; m /= 2;} j += m;}}} 
  {int j=1, m; c b=-1; while(j<n) {c w = 1;
    for(m=0; m<j; ++m) {int i;
      for(i=m; i<n; i+=j+j)
        {c t = w*a[i+j]; a[i+j]=a[i]-t; a[i] += t;}
      w *= b;}
    j *= 2; b = Sqrt(b);}}}

int main(){c A[1024]; int j;
for(j=0; j<1024; ++j) A[j]=0;
A[11]=1;
fft(A, 1024);
{int j; for(j = 0; j<1024; ++j) pc(A[j]);}
return 0;}