The ultimate goal of the Intelligence Advanced Research Projects Activity (IARPA)'s Cryogenic Computing Complexity (C3) program is to demonstrate a complete superconducting computer including processing units and cryogenic memory. IARPA expects that the C3 program will be a five-year two-phase program. Phase one, which encompasses the first three years, primarily serves to develop the technologies that are required to separately demonstrate a small superconducting processor and memory units. Phase two, which is for the final two years, will integrate those new technologies into a small-scale working model of a superconducting computer. Program goals are presented, and the approaches of the phase-one teams are reviewed.