A parent left a collection of paintings of equal values to be distributed among the three children: Tarek receives at least one-half of the paintings, Sharif gets at least one-third, and Maisa gets at least one-ninth. The remainder goes to charity. The will does not specify the total number of paintings except to say that it is an odd number and that the named charity receives exactly one painting. Use ILP to determine how many paintings are in the estate and how many each child gets.