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{"ops":[{"insert":"You are given an array X of floating-point numbers x1, x2, \u2026 xn. These can be rounded up or down to create a corresponding array Y of integers y1, y2, \u2026 yn\n\n\nWrite an algorithm that finds an appropriate Y array with the following properties:\n\n\n\u2022\tThe rounded sums of both arrays should be equal.\n\n\u2022\tThe absolute pairwise difference between elements is minimized. In other words, |x1- y1| + |x2- y2| + ... + |xn- yn| should be as small as possible.\n\n\nFor example, suppose your input is [1.3, 2.3, 4.4]. In this case you cannot do better than [1, 2, 5], which has an absolute difference of |1.3 - 1| + |2.3 - 2| + |4.4 - 5| = 1.\n\n"}]}
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