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If Roberto has 200 coins and distributes them in such a way that each friend gets at least one coin, and no two friends get the same number of coins, the largest number of friends Roberto could have is 19.

This is a simple triangular function of a number.

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19 = 190

At that point, Roberto only has 10 coins left, and he can not give them to anyone else without duplicating the amount two friends get.

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15y ago

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