The model according to which D-T fuel with a density of ~300 g/cm3 can be heated to 12 keV by the diverging fluxes of the B+5 or C+6 ions, generated by the ultrahigh-intensity laser beams, is presented. The requirements on focusing of protons and Be+4 ions being used in the similar ignition scenarios are estimated. Heating the compressed fuel by microexplosion that occurs inside the cone, "tamped" by this fuel, is proposed. Problems related to possibility of formation of the cumulative jets and striking cores due to collapse of the cones used for heating the compressed fuel are considered.