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Three five-handed extraterrestrial monsters were holding three crystal globes. Because of the quantum-mechanical peculiarities of their neighborhood, both monsters and globes come in exactly three sizes with no others permitted: small, medium, and large. The medium-sizedmonster was holding the small globe; the small monster was holding the large globe; and the large monster was holding the medium-sized globe. Since this situation offended their keenly developed sense of symmetry, they proceeded to shrink and expand globes so that each monster would have a globe proportionate to its own size. Monster etiquette complicated the solution of the problem since it requires that:
1. Only one globe may be changed at a time (e.g., from small to large, medium to small, etc.).
2. If two globes have the same size, only the globe held by the larger monster may be changed.
3. A globe may not be changed to the same size as the globe of a larger monster.
Three five-handed extraterrestrial monsters were holding three crystal globes. Because of the quantum-mechanical peculiarities of their neighborhood, both monsters and globes come in exactly three sizes with no others permitted: small, medium, and large. The medium-sizedmonster was holding the small globe; the small monster was holding the large globe; and the large monster was holding the medium-sized globe. Since this situation offended their keenly developed sense of symmetry, they proceeded to shrink and expand globes so that each monster would have a globe proportionate to its own size. Monster etiquette complicated the solution of the problem since it requires that:
1. Only one globe may be changed at a time (e.g., from small to large, medium to small, etc.).
2. If two globes have the same size, only the globe held by the larger monster may be changed.
3. A globe may not be changed to the same size as the globe of a larger monster.