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You are in an orchard which has a quadratic shape of size 4n by 4n with equally spaced trees. You purchased apples from n2 trees which also form a square, but the owner is allowing to choose such a square anywhere in the orchard. You have a map with the number of apples on each tree. Your task is to chose such a square which contains the largest total number of apples and which runs in time O(n2).

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