# Money!

Logic Level 4

There are $108$ points on a circle with the names $A(0), A(1), \ldots , A(107)$. For future reference, let points $A(n)$ and $A(n+108)$ refer to the same point for any integer $n$ .

Now Hugo enters the game with his big pockets filled with money. He places money with a positive integer value on each point, so that the sum of the value of the money placed on the points $A(n), A(n+1), A(n+2), \dots , A(n+18), A(n+19)$ equals $1000$ for every integer $n$ with $0 \le n \le 107$ .

Now by coincidence, the value of the money placed on the points $A(1), A(19), A(50)$ equals $1, 19, 50$.

Can you compute now the value of the money Hugo placed on field $A(100)$? Type its value in the answer field.

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