S.D. Codified Laws § 12-16-3.1
If more than one political party qualifies for the general election, the position of each party's candidates on the ballot shall be determined by drawing of lots by the secretary of state at the same time and in the same manner as prescribed for candidates in § 12-16-8. Representatives of the parties may be present when the arrangement is determined. On paper ballots, the first party name drawn shall be placed in the left-hand column, the second party name drawn shall be placed in the next column, and each succeeding party name drawn shall be placed on the ballot in the order drawn. On direct recording electronic screens, on electronic ballot marking system screens, and on optical scan ballots, the candidate names shall appear in the order in which their party name was drawn.
SDCL 12-16-3.1