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📄 dynamic.m

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function y = dynamic(b,k,choices,stages,X,table)
inf2 = 10^7;
A = first(X,table);
B = zeros(1,stages+1);
table = setinf(A,table);
sA = size(A);
while sA(1) < k
    

       i = 1;
        while i <= stages
            if i == 1
                if sA(1) >= choices^i      %the ith stage all have been set to inf
                    i = i + 1;
                else
                       path = stage(1,choices,stages,X,A,table);  
                       if path == 0        %the value of this path is inf
                           i = i + 1; 
                       else
                               m = norm(path);
                               if m > inf2
                                    i = i + 1;
                               end
                               if m < inf2
                               C = change(path,X,table);
                               r = check(C,A,X,table);       
                                   if r ~= 0
                                       r = checkb(C,B,X,table);
                                   end
                                   if r ~= 0
                                       B = [B;C];
                                       tB = size(B);
                                       if tB > 1
                                           B = arrange(B);
                                       end
                                       table = setinf(C,table);
                                   end
                                   i = i + 1;
                               end   
                       end
                end
            else
                if sA(1) >= choices^i      %the ith stage all have been set to inf
                    i = i + 1;
                else
                        path1 = stage(i,choices,stages,X,A,table);
                        if path1 == 0      %(all have been set to inf)
                            i = i + 1;
                        else

                                for j = 1:i-1
                                    path(j) = A(sA(1),j);
                                end
                                    path = [path(1:(i-1)),path1];
                                     m = norm(path);
                                if m > inf2
                                i = i + 1;
                                end
                                if m < inf2
                                r = checkpath(b,path,stages,X,table);
                                   if r ~= 0
                                       C = change(path,X,table);
                                       r = check(C,A,X,table);
                                       if r ~= 0
                                         r = checkb(C,B,X,table);
                                       end
                                       if r ~= 0
                                       B = [B;C];
                                          if tB > 1
                                              B = arrange(B);
                                          end
                                       table = setinf(C,table);
                                       end
                                   end
                                   i = i + 1;
                                end
                        end              
                end        
            end
        end
        
     sB = size(B);
     sA = size(A);
     if sB(1) == 1
         disp(['There are only ',num2str(sA(1)),' path(s)']);
         break
     else
         %if sA(1) + sB(1) >= k + 1
         %    A = [A;B(2:k-sA(1)+1,:)];
         %    break
         %else
             A = [A;B(2,:)];
             B = sub(B);
         %end
     end

sA = size(A);
%sB = size(B);


end
% if sA(1) < k
% A = [A;B(2:k-sA(1)+1,:)];
% end
%sA = size(A);
for i = 1:sA(1)
    A(i,:) = getvalue(A(i,1:sA(2)-1),X,table);
end
y = A;

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