There are points on a circle with the names . For future reference, let points and refer to the same point for any integer .
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 equals for every integer with .
Now by coincidence, the value of the money placed on the points equals .
Can you compute now the value of the money Hugo placed on field ? Type its value in the answer field.