Consider the following statements about nuclear fission:

I. Nuclear fission involves the splitting of a heavy atomic nucleus into lighter nuclei when bombarded with slow neutrons, accompanied by the release of substantial energy.

II. The mass of the fission products is slightly greater than the original mass of the fissile nucleus, with the mass defect converted into energy according to Einstein's equation E=mc².

III. In a controlled fission chain reaction, at least one neutron from each fission event must be absorbed by another fissile nucleus to sustain the reaction.

Which of the statements given above is/are correct?