Consider the following Game Show:
Hats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, you were asked to guess the numbers written on each participant's hat.
Assuming that all sums are correct, will you be the next millionare? Let's find out...
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