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Minimum Swaps To Make Sequences Increasing

arraydynamic programming

Problem Statement

You are given two integer arrays of the same length nums1 and nums2 . In one operation, you are allowed to swap nums1[i] with nums2[i] .

For example, if nums1 = [1,2,3, 8 ] , and nums2 = [5,6,7, 4 ] , you can swap the element at i = 3 to obtain nums1 = [1,2,3,4] and nums2 = [5,6,7,8] .

Return the minimum number of needed operations to make nums1 and nums2 strictly increasing . The test cases are generated so that the given input always makes it possible.

An array arr is strictly increasing if and only if arr[0] < arr[1] < arr[2] < ... < arr[arr.length - 1] .

Examples

Example 1
Input: nums1 = [1,3,5,4], nums2 = [1,2,3,7]
Output: 1
Swap nums1[3] and nums2[3]. Then the sequences are: nums1 = [1, 3, 5, 7] and nums2 = [1, 2, 3, 4] which are both strictly increasing.
Example 2
Input: nums1 = [0,3,5,8,9], nums2 = [2,1,4,6,9]
Output: 1

Constraints

2 <= nums1.length <= 10 ^5
nums2.length == nums1.length
0 <= nums1[i], nums2[i] <= 2 * 10 ^5
😤
Hard
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicDynamic Programming
Tags
arraydynamic programming
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