.17 The number of tanks to be HBL is determined
                           by the conditions underlined by EOS3 not being greater than EOS2 for
                           the ship arranged with non-cargo side tanks and furthermore not being
                           greater than 85% of the EOS1. Once it has been established that these
                           conditions have been met, with zero trim, adjusted Vi,
                           nominal density and maximum cargo level as per the Appendix formula,
                           the configuration is considered having been validated and there is
                           no need to recalculate EOS3 for the actual loading conditions corresponding
                           to that configuration.
                           
                        
                        
                        
                        
                        Filling levels in HBL tanks for the actual loading conditions
                           are determined by the HBL formula of the Appendix to the Guidelines
                           using actual density and draught at each HBL tank location.
                        
                        
                        
                      
                     
                     
                     
                        
                        
                         
                           .18 Partial filling less than HBL height may alternatively
                           be considered. In such conditions, the cargo height in the selected
                           cargo tanks is to be determined based on EOS3 compliance with the
                           criteria, with zero trim, nominal density, and draught corresponding
                           to adjusted Vi.
                           
                        
                        
                        
                        
                        Where cargo levels less than maximum cargo level calculated
                           by the HBL formula of the Appendix to the Guidelines are used for
                           EOS3 calculation, the actual filling levels will be calculated as
                           follows:
                        
                        
                        
                        
                        
                        
                           
                              where
                              
                                 | 
                                          
                                       K
                                        | 
                                 = | 
                                 is a correction factor
                                       h(HBL)/h(PF) with:
                                        | 
                              
                              
                                 | 
                                          h(PF)
                                        | 
                                 = | 
                                 maximum
                                       cargo height in partial filling condition, leading to a satisfactory
                                       EOS3 for the selected configuration (with nominal density, assumed
                                       zero trim, corresponding draught d
                                       (PF), adjusted
                                       Vi).
                                        | 
                              
                              
                                 | 
                                          H(HBL)
                                        | 
                                 = | 
                                 maximum
                                       HBL cargo height for the selected configuration at draught d(PF).
                                        | 
                              
                           
                         
                        
                        
                        
                        Thus:
                        
                        
                        
                           
                              
                                 | 
                                          
                                       K
                                        | 
                                 = | 
                                 ((d
                                       (PF) - hi
                                          ) x ρsx g - 100 ΔP)/(ρn x g xh
                                       (PF)))
                                        | 
                              
                           
                         
                        
                        
                        
                        
                        
                           Matrix of Parameters
                           
                              
                                 
                                    | EOS (see Note 1)
                                       
                                     | 
                                    Assumed trim
                                       
                                     | 
                                    Draught
                                       
                                     | 
                                    Density
                                       
                                     | 
                                    Loaded oil volume
                                       
                                     | 
                                    Consumables and ballast
                                       
                                     | 
                                 
                                 
                                    | EOS 1
                                       
                                     | 
                                    0
                                       
                                     | 
                                    Maximum assigned summer water
                                       line
                                       
                                     | 
                                    Nominal
                                       
                                     | 
                                    V1
                                       
                                       
                                     | 
                                    none
                                       
                                     | 
                                 
                                 
                                    | EOS 2
                                       
                                     | 
                                    0
                                       
                                     | 
                                    Corresponding draught
                                       
                                     | 
                                    Nominal
                                       
                                     | 
                                    V2
                                       
                                       
                                     | 
                                    none
                                       
                                     | 
                                 
                                 
                                    | EOS 3 
                                       
                                     | 
                                    0
                                       
                                     | 
                                    Corresponding draught
                                       
                                     | 
                                    Nominal
                                       
                                     | 
                                    V3
                                       
                                       
                                     | 
                                    See Note 2
                                       
                                     | 
                                 
                              
                           
                           
                         
                        
                        
                      
                     
                     
                     
                     
                        
                        
                           
                              where
                              
                                 | 
                                          V1
                                        | 
                                 = | 
                                 98%
                                       of cargo and fuel oil tanks volumes within Lt in the original
                                       configuration
                                        | 
                              
                              
                                 | 
                                          V2
                                        | 
                                 = | 
                                 
                                       V
                                       1 minus 98% volume of side protection tanks corresponding to
                                       13 G(4), in way of cargo tanks
                                        | 
                              
                              
                                 | 
                                          V3
                                        | 
                                 = | 
                                 Oil
                                       volume of full cargo and fuel oil tanks within Lt (at 98%)
                                       and of HBL and/or partially loaded tanks
                                        | 
                              
                           
                         
                        
                        
                      
                     
                     
                     
                     
                     
                     
                        
                        
                         
                           Note 2 Ballast may be used to achieve an increased
                           draught only in determining EOS3.