How to Solve Get the Maximum Score Leetcode Problem - Interview Coder Guide
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How to Solve Get the Maximum Score Problem

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Hard#1659
LeetCode Problem

Get the Maximum Score

You are given two sorted arrays of distinct integers nums1 and nums2. A valid path is defined as follows: Choose array nums1 or nums2 to traverse (from index-0). Traverse the current array from left t...

ArrayTwo PointersDynamic Programming+1 more

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Problem Breakdown

Understanding the Get the Maximum Score Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given two sorted arrays of distinct integers nums1 and nums2. A valid path is defined as follows: Choose array nums1 or nums2 to traverse (from index-0). Traverse the current array from left to right. If you are reading any value that is present in nums1 and nums2 you are allowed to change your path to the other array. (Only one repeated value is considered in the valid path). The score is defined as the sum of unique values in a valid path. Return the maximum score you can obtain of all possible valid paths. Since the answer may be too large, return it modulo 109 + 7.

HardProblem #1659
LeetCode

Get the Maximum Score

Related Topics
ArrayTwo PointersDynamic ProgrammingGreedy
How Interview Coder Helps

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Examples

Example 1
INPUT
nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]
OUTPUT
30
EXPLANATION

Valid paths: [2,4,5,8,10], [2,4,5,8,9], [2,4,6,8,9], [2,4,6,8,10], (starting from nums1) [4,6,8,9], [4,5,8,10], [4,5,8,9], [4,6,8,10] (starting from nums2) The maximum is obtained with the path in green [2,4,6,8,10].

Example 2
INPUT
nums1 = [1,3,5,7,9], nums2 = [3,5,100]
OUTPUT
109
EXPLANATION

Maximum sum is obtained with the path [1,3,5,100].

Example 3
INPUT
nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]
OUTPUT
40
EXPLANATION

There are no common elements between nums1 and nums2. Maximum sum is obtained with the path [6,7,8,9,10].

Constraints

1 <= nums1.length, nums2.length <= 105
1 <= nums1[i], nums2[i] <= 107
nums1 and nums2 are strictly increasing.

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