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If each user is following exactly one other user, then it can be a ring of 300 users forming a circle. Pulling every third person from that loop will give you a group of 100 users who are not followi …

One day, while playing Minecraft, a player ran at full speed up to a tree and dug into the ground. There, they found a mysterious note. It said: I am a thing. If you do something to me, and then do …

This is a new and different answer than the one I posted previously and I felt it warranted its own spot. My apologies if this is bad form. Solution: Cut the rope into X+1 pieces, where X is the numb …

Yes, he can kill the leader, take his place, and all of the leader's friends. For some bizarre reason, this is not unthinkably rude in the strange and unusual customs of this island. alternatively, t …

You have a scale that is remarkably sturdy, and there are seven spheres of unequal mass. No sphere has the same mass as any other. There is (almost) no limit to the mass of any sphere, but the most …

The answer is: Reason by provable test case: ...Here's some images to help illustrate the problem. Here's a grid of bubbles covering the floor. we can surmise that a table could put its legs …

While brainstorming on this, I think I can establish an absolute maximum upper bound. There are $52$ cards in the deck, and for each one, it needs to be adjacent to one of only $49$ of the remaining …