Idaho Code § 42-2930
In the event that the amount levied shall be insufficient to complete the contemplated improvement, then the board shall levy an additional assessment sufficient to complete the same, including the cost of collection, and all legal and other proceedings in connection therewith. Such additional levy shall be made against the same property, and in the same proportion against each, as was the original levy, and after approval thereof by the judge, before whom said proceedings are pending, shall be spread on the books of the auditor and tax collector in the same manner as is required in the case of the original levy. A brief general notice of the filing of the application for confirmation of such additional levy shall be published in a newspaper of general circulation in each of the counties in which such district is situate, at least once each week, for three (3) consecutive weeks prior to the date fixed for confirmation.
Idaho Code § 42-2930