Julia Robinson Mathematics Festival (2022). Cup Stacking. https://jrmf.org/puzzle/cup-stacking/

Cup Stacking

Math Circles:
Begin with a row of cups and end with all of the cups in a single stack. Rules: 1. Count the number of cups in a stack. That stack must jump that number of spaces. For example, 1 cup can only move 1 space; 2 cups have to move 2 spaces; 3 cups have to move 3 spaces… 2. A cup or stack of cups cannot move into an empty space. They have to land on another cup or stack of cups.

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