Solution: Get the Maximum Score
Explore the two pointers technique to solve the problem of maximizing a score by traversing two sorted arrays with distinct integers. Learn how to switch paths at common elements, synchronize path sums, and efficiently calculate the maximum possible sum without exploring all possible paths. This lesson provides a clear walkthrough for implementing this approach in linear time using minimal extra space.
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Statement
You are given two sorted arrays of distinct integers, nums1 and nums2.
A valid path is constructed according to the following rules:
You start at the index
of either nums1ornums2.From there, you must traverse the chosen array from left to right.
Suppose you encounter a number in both arrays (a common element, not necessarily at the same index). In that case, you may choose to switch to the other array at that element and continue the traversal from that point forward.
A common element can only be counted once in the total path score, regardless of the array it appears.
The score of a path is defined as the sum of all unique elements visited during traversal. Your task is to return the maximum possible score achievable by any valid path. As the answer may be too large, return the maximum score modulo
Constraints:
1
nums1.length,nums2.length...