x=[-0.2163   -0.8328    0.0627    0.1438   -0.5732    0.5955    0.5946   -0.0188]+1;%u=0,sigma=0.5,gauss%
y=[0.5334    0.0296   -0.0478   -0.4162    0.1472   -0.6681    0.3572    0.8118]+1;%u=0,sigma=0.5,gauss%
alpha=zeros(8,16,2);      %  alpha(k,m,2-i),i=0,1
belta=zeros(8,16); belta(8,1)=1;   % belta(k,m)
gama=zeros(8,16,2);                   % gama(k,m,2-i)
%%%%%%%%%%%%%%%%%step 1 %%%%%%%%%%%%%%%%%%%
k=1;                 % m'=0,m=0,8  k=1~8;
s0=0.5*gau(x(k),y(k),0);
s1=0.5*gau(x(k),y(k),1);
%gama(k,9,1)=s1          %i=1,m=8
%gama(k,1,2)=s0;          %i=0,m=0
alpha(k,9,1)=2*s1/((s1+s0)*2);                       %i=1;
alpha(k,1,2)=2*s0/((s1+s0)*2);                         %i=0
%%%%%%%%%%%%%%%%%step 2 %%%%%%%%%%%%%%%%%%%
k=2;                  % m'=0,8   m=0,8;4,12 
s0=0.5*gau(x(k),y(k),0);
s1=0.5*gau(x(k),y(k),1);
%gama(k,:,2)=[s0 0 0 0 s0 0 0 0 0 0 0 0 0 0 0 0];
%gama(k,:,1)=[0 0 0 0 0 0 0 0 s1 0 0 0 s1 0 0 0];
alpha(k,1,2)=s0*alpha(k-1,1,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9,1)=s1*alpha(k-1,1,2)/(s1+s0);
alpha(k,5,2)=s0*alpha(k-1,9,1)/(s1+s0);
alpha(k,13,1)=s1*alpha(k-1,9,1)/(s1+s0);
%%%%%%%%%%%%%%%%%step 3 %%%%%%%%%%%%%%%%%%%
k=3;                  % m'=0,8,4,12   m=0,8,4,12,2,10,6,14
s0=0.5*gau(x(k),y(k),0);
s1=0.5*gau(x(k),y(k),1);
%gama(k,:,2)=[s0 0 s0 0 s0 0 s0 0  0 0 0  0  0 0  0 0];
%gama(k,:,1)=[0  0  0 0  0 0  0 0 s1 0 s1 0 s1 0 s1 0];
alpha(k,1,2)=s0*alpha(k-1,1,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9,1)=s1*alpha(k-1,1,2)/(s1+s0);
alpha(k,5,2)=s0*alpha(k-1,9,1)/(s1+s0);
alpha(k,13,1)=s1*alpha(k-1,9,1)/(s1+s0);
alpha(k,3,2)=s0*alpha(k-1,5,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11,1)=s1*alpha(k-1,5,2)/(s1+s0);
alpha(k,7,2)=s0*alpha(k-1,13,1)/(s1+s0);
alpha(k,15,1)=s1*alpha(k-1,13,1)/(s1+s0);
%%%%%%%%%%%%%%%%%step 4 %%%%%%%%%%%%%%%%%%%
k=4;
s0=0.5*gau(x(k),y(k),0);
s1=0.5*gau(x(k),y(k),1);
%gama(k,:,2)=[s0 s0 s0 s0 s0 s0 s0 s0 0 0 0 0 0 0 0 0];
%gama(k,:,1)=[0 0 0 0 0 0 0 0 s1 s1 s1 s1 s1 s1 s1 s1];
alpha(k,1,2)=s0*alpha(k-1,1,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9,1)=s1*alpha(k-1,1,2)/(s1+s0);
alpha(k,5,2)=s0*alpha(k-1,9,1)/(s1+s0);
alpha(k,13,1)=s1*alpha(k-1,9,1)/(s1+s0);
alpha(k,3,2)=s0*alpha(k-1,5,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11,1)=s1*alpha(k-1,5,2)/(s1+s0);
alpha(k,7,2)=s0*alpha(k-1,13,1)/(s1+s0);
alpha(k,15,1)=s1*alpha(k-1,13,1)/(s1+s0);
alpha(k,1+1,2)=s0*alpha(k-1,3,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9+1,1)=s1*alpha(k-1,3,2)/(s1+s0);
alpha(k,5+1,2)=s0*alpha(k-1,11,1)/(s1+s0);
alpha(k,13+1,1)=s1*alpha(k-1,11,1)/(s1+s0);
alpha(k,3+1,2)=s0*alpha(k-1,7,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11+1,1)=s1*alpha(k-1,7,2)/(s1+s0);
alpha(k,7+1,2)=s0*alpha(k-1,15,1)/(s1+s0);
alpha(k,15+1,1)=s1*alpha(k-1,15,1)/(s1+s0);
%%%%%%%%%%%%%%%%%step 5 %%%%%%%%%%%%%%%%%%%
k=5;          %gama(k,m',i)
s0=0.5*gau(x(k),y(k),0);
s1=0.5*gau(x(k),y(k),1);
%gama(k,:,2)=[s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0];
%gama(k,:,1)=[s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1 s1];
de=
alpha(k,1,2)=s0*alpha(k-1,1,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9,1)=s1*alpha(k-1,1,2)/(s1+s0);
alpha(k,5,2)=s0*alpha(k-1,9,1)/(s1+s0);
alpha(k,13,1)=s1*alpha(k-1,9,1)/(s1+s0);
alpha(k,3,2)=s0*alpha(k-1,5,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11,1)=s1*alpha(k-1,5,2)/(s1+s0);
alpha(k,7,2)=s0*alpha(k-1,13,1)/(s1+s0);
alpha(k,15,1)=s1*alpha(k-1,13,1)/(s1+s0);
alpha(k,1+1,2)=s0*alpha(k-1,3,2)/(s1+s0);          %i=0,m'=0,m=0
alpha(k,9+1,1)=s1*alpha(k-1,3,2)/(s1+s0);
alpha(k,5+1,2)=s0*alpha(k-1,11,1)/(s1+s0);
alpha(k,13+1,1)=s1*alpha(k-1,11,1)/(s1+s0);
alpha(k,3+1,2)=s0*alpha(k-1,7,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11+1,1)=s1*alpha(k-1,7,2)/(s1+s0);
alpha(k,7+1,2)=s0*alpha(k-1,15,1)/(s1+s0);
alpha(k,15+1,1)=s1*alpha(k-1,15,1)/(s1+s0);
%--------------------------------------------
alpha(k,1,2)=s0*alpha(k-1,1,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9,1)=s1*alpha(k-1,1,2)/(s1+s0);
alpha(k,5,2)=s0*alpha(k-1,9,1)/(s1+s0);
alpha(k,13,1)=s1*alpha(k-1,9,1)/(s1+s0);
alpha(k,3,2)=s0*alpha(k-1,5,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11,1)=s1*alpha(k-1,5,2)/(s1+s0);
alpha(k,7,2)=s0*alpha(k-1,13,1)/(s1+s0);
alpha(k,15,1)=s1*alpha(k-1,13,1)/(s1+s0);
alpha(k,1+1,2)=s0*alpha(k-1,3,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,9+1,1)=s1*alpha(k-1,3,2)/(s1+s0);
alpha(k,5+1,2)=s0*alpha(k-1,11,1)/(s1+s0);
alpha(k,13+1,1)=s1*alpha(k-1,11,1)/(s1+s0);
alpha(k,3+1,2)=s0*alpha(k-1,7,2)/(s1+s0);            %i=0,m'=0,m=0
alpha(k,11+1,1)=s1*alpha(k-1,7,2)/(s1+s0);
alpha(k,7+1,2)=s0*alpha(k-1,15,1)/(s1+s0);
alpha(k,15+1,1)=s1*alpha(k-1,15,1)/(s1+s0);