There are 9 stones and 2 balance scales. You can only use
the balance scales only ONCE. One stone is slightly
heavier than the other 8. Is it possible to select the
slightly heavier stone? Why or why not.
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A traveler must pack three items: food, first-aid kits and clothes. The container has a capacity of 4 ft3. Each unit of food takes 3 ft3. The first- aid kit occupies 1 ft3 and each piece of cloth takes 2 ft3. The traveler assigns the priority weights 3, 4 and 5 to food, first-aid and clothes, which means that the clothes are the most valuable of the three items. Using dynamic programming approach, find the optimal number of each item that the traveler should carry?
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