#121 Super-Egg Testing

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A firm has invented a super-strong egg. For publicity purposes, it wants to determine the highest floor in a 100-story building from which such an egg can fall without breaking. The firm has given a tester two identical eggs to experiment with. Of course, the same egg can be dropped multiple times unless it breaks. What is the minimum number of droppings that is guaranteed to determine the highest safe floor in all cases?