# 7. Problem $7 *$

Petya came up with four different natural numbers, wrote down all their pairwise sums on the board, and in the row below, all their sums of three. It turned out that the sum of the two largest numbers in the top row and the two smallest numbers in the bottom row (a total of four numbers) is 2017. Find the largest possible value of the sum of the four numbers that Petya came up with. Points for the problem: 8.

## Answer: 806

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# 7. Problem $7 *$

Petya came up with four different natural numbers, wrote down all their pairwise sums on the board, and in the row below, all their sums of three. It turned out that the sum of the two largest numbers in the top row and the two smallest numbers in the bottom row (a total of four numbers) is 2017. Find the largest possible value of the sum of the four numbers that Petya came up with. Points for the problem: 8.

## Answer: 806

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