Given n arrays, each array contain n positive integers. Write an O (n² log n) algorithm to find the smallest n sums out of nn possible sums that can be obtained by picking one positive integer from each of n arrays. For example, given three arrays as follows: [5, 1, 8], [5, 2, 9], and [6, 7, 10]. The smallest n sums of the given array is [9, 10, 12].

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