CF19B Checkout Assistant

Bob came to a cash & carry store, put $ n $ items into his trolley, and went to the checkout counter to pay. Each item is described by its price $ c_{i} $ and time $ t_{i} $ in seconds that a checkout assistant spends on this item. While the checkout assistant is occupied with some item, Bob can steal some other items from his trolley. To steal one item Bob needs exactly 1 second. What is the minimum amount of money that Bob will have to pay to the checkout assistant? Remember, please, that it is Bob, who determines the order of items for the checkout assistant.

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