One day, CYLL found an interesting piece of commercial newspaper: the Cyber-restaurant was offering a kind of Lunch Special which was said that one could buy one get two for free . That is, if you buy one of the dishes on their menu, denoted by d i with price p i , you may get the two neighboring dishes d i− 1 and d i+1 for free! If you pick up d 1 , then you may get d 2 and the last one d n for free, and if you choose the last one d n , you may get d n− 1 and d 1 for free. However, after investigation CYLL realized that there was no free lunch at all. The price p i of the i-th dish was actually calculated by adding up twice the cost c i of the dish and half of the costs of the two free dishes. Now given all the prices on the menu, you are asked to help CYLL find the cost of each of the dishes.-One day, CYLL found an interesting piece of commercial newspaper: the Cyber-restaurant was offering a kind of Lunch Special which was said that one could buy one get two for free . That is, if you buy one of the dishes on their menu, denoted by d i with price p i , you may get the two neighboring dishes d i−　1 and d i+1 for free! If you pick up d 1 , then you may get d 2 and the last one d n for free, and if you choose the last one d n , you may get d n−　1 and d 1 for free. However, after investigation CYLL realized that there was no free lunch at all. The price p i of the i-th dish was actually calculated by adding up twice the cost c i of the dish and half of the costs of the two free dishes. Now given all the prices on the menu, you are asked to help CYLL find the cost of each of the dishes.