mergesort() merges the subarrays of an array that is already in order. Another top-down version of mergesort alleviates this problem by merging only runs, subarrays with ordered elements. Merging is applied only after two runs are determined. For example, in the array [6 7 8 3 4 1 11 12 13 2], runs [6 7 8] and [3 4] are first merged to become [3 4 6 7 8], then runs [1 11 12 13] and [2] are merged to become [1 2 11 12 13], and finally, runs [3 4 6 7 8] and [1 2 11 12 13] are merged to become [1 2 3 4 6 7 8 11 12 13]. Implement this algorithm and investigate its complexity. A mergesort that takes advantage of a partial ordering of data (that is, uses the runs) is called a natural sort. A version that disregards the runs by always dividing arrays into (almost) even sections is referred to as straight merging.
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