S.D. Codified Laws § 9-2-2.1
If the population of a municipality, as shown by the last preceding federal census, increases or decreases causing the municipality to pass into a different class of municipality pursuant to § 9-2-1, the municipality may, through its governing body, apply to the circuit court having jurisdiction for a judgment authorizing the classification change. Upon the presentation of the application, the court must establish a time and place for hearing the application. Notice of the hearing must be given by publishing the order once a week for two successive weeks, the last publication to be not less than ten days prior to the day of the hearing. Not less than ten days prior to the date of the hearing, the notice of hearing must also be posted in three public places in the municipality.
SDCL 9-2-2.1