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17 nonoverlapping forms ability levels induced ability range Ariel assembled a CAT CAT pools P17 commercial IP solver Computer experiments computerized adaptive testing corresponding ability level density p(9 direct algorithm assembled direct and inverse direct problem expected ability density feasible set feasible solution forms to assemble go to Step information function information threshold informative items Input integer program inverse algorithm inverse problem item exposure item pool called Linden lower bound LSAT master pool utilization maximize the objective maximum number maximum set packing maximum subset measurement accuracy misfit nonoverlapping forms reflecting number of forms number of items number of nonoverlapping optimal solution Output pool and go Random variable reflect the ability satisfying Definition sequential assembly set of forms set of nonoverlapping set packing problem solution to Problem solve Problem specified range step function subset of nonoverlapping test assembly constraints test form test taker uniform test assembly uniformly distributed upper bound Veldkamp