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After the fill strategies, the winning layout's outermost row on each side is pushed into the edge slack, slid toward one end, and copies of its end part are slid in from the freed end. Lifting a staggered hexagon row straight over the one below opens a notch where one more nests: a 7" hex cover on a 60 x 120 sheet now fills 181 instead of 180. The policy's comparer must prefer the result and the requested quantity caps it. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>