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In this tutorial, the problem of partitioning an array to achieve maximum sum is discussed. The problem requires partitioning the given array such that no partition contains more than 3 elements. An example array of 1, 15, 7, 9, 2, 5, 10 is provided, along with a certain value for 'k'. The tutorial demonstrates how to partition the array by taking elements in groups of at most 3 to maximize the sum. The process involves creating partitions with lengths of 2 or 3, ensuring that each partition adheres to the maximum length restriction.