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Solution: Create Maximum Number

Explore how to create the lexicographically largest number of length k by selecting and merging subarrays from two integer arrays. Learn to assess all splits, pick maximum subsequences with a monotonic stack, and merge using suffix comparisons to ensure the best final result. This lesson develops your ability to solve complex array problems efficiently using the two pointers technique.

Statement

You are given two integer arrays, nums1 and nums2, of lengths m and n, respectively. Each array represents the digits of a number.

You are also given an integer k. Create the largest possible number of length k (where k \leq m ++ n) using digits from both arrays. You may interleave digits from the two arrays, but the relative order of digits within the same array must be preserved.

Return an array of k digits representing the maximum number.

Constraints:

  • m == nums1.length

  • n == nums2.length

  • 11 \leq m, n 500\leq 500

  • 00 \leq nums1[i], nums2[i] 9\leq 9

  • ...