(A)   Personal liability. The owner of premises on which a nuisance has been abated by the city shall be personally liable for the cost to the city of the abatement, including administrative costs. As soon as the work has been completed and the cost determined, the City Administrator or other official shall prepare a bill for the cost and mail it to the owner. Thereupon the amount shall be immediately due and payable at the office of the City Administrator.
   (B)   Assessment. If the nuisance is a public health or safety hazard on private property, the accumulation of snow and ice on public sidewalks, the growth of weeds on private property or outside the traveled portion of streets, or unsound or insect-infected trees, the City Administrator shall, on or before September 1 next following abatement of the nuisance, list the total unpaid charges along with all other the charges as well as other charges for current services to be assessed under M.S. § 429.101, as it may be amended from time to time, against each separate lot or parcel to which the charges are attributable. The City Council may then spread the charges against the property under that statute and other pertinent statutes for certification to the County Auditor and collection along with current taxes the following year or in annual installments, not exceeding ten, as the City Council may determine in each case.