In defense of Lulu

I came across this five-year old Reddit post on /r/finalfantasy titled “Scumbag Lulu” The problem is even a little broader than this. Lulu is not the only experienced guardian – Auron served as Braska’s guardian and got even farther, reaching Yunalesca. Auron’s starting HP is 1030, which is definitely more, but he is a fighter…

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How far apart can squares be?

Consider the squares: 0, 1, 4, 9, 16, 25, 36… “No two squares are 6 apart,” I say. After some subtractions you believe me. Exercise: prove no two squares are 6 apart. “Nor are any two squares 134 apart,” I say. You look at me in surprise. After some puzzlement, inspiration strikes. Exercise: prove that any two…

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