Algorithm 1 Main($B_r$,P,K,i,j,$type$)

1:if ($type=$ US) then 2:   if (SinglePath($B_r$,P,K,i,j) = $Accepted$) then 3:     return $Accepted$; 4:   else 5:     return MultiPath($B_r$,2,K,i,j,US); 6:   end if 7:else if ($type=$ PS) then 8:   return MultiPath($B_r$,P,K,i,j,PS) 9:end if