OC3

line = input("","s");
he=strsplit(line);
n=length(he);
mat = ones (n, n);
for i = 1:n
  mat(1,i) = str2num(he{1,i});
endfor
for i = 2:n
  for i2 = 1:n
    mat(i,i2) = scanf("%d","C");
  endfor
endfor
printf("%.6f\n",det(mat))
ev=sort(eig(mat));
if(length(ev)==0)
  exit()
endif
rev=[ev(1)];
for i = 2:length(ev)
  if(ev(i)-ev(i-1)>0.001)
    rev(end+1)=ev(i);
  endif
endfor
for i = length(rev):-1:1
  printf("%.6f\n",rev(i));
  temp=mat;
  for i2 = 1:n
    temp(i2,i2)-=rev(i);
  endfor
  ans=rref(null(temp)');
  for i2 = 1:rows(ans)
    for i3 = 1:columns(ans)
      printf("%.6f ",ans(i2,i3));
    endfor
    printf("\n");
  endfor
endfor