{"id":357,"date":"2023-11-11T10:07:51","date_gmt":"2023-11-11T10:07:51","guid":{"rendered":"https:\/\/favtutor.com\/articles\/?p=357"},"modified":"2023-11-17T06:15:51","modified_gmt":"2023-11-17T06:15:51","slug":"median-of-two-sorted-arrays","status":"publish","type":"post","link":"https:\/\/favtutor.com\/articles\/median-of-two-sorted-arrays\/","title":{"rendered":"Median of Two Sorted Arrays (C++, Java, Python)"},"content":{"rendered":"\n

The problem of finding the median of two sorted arrays is a classic algorithmic challenge that has intrigued computer scientists, mathematicians, and programmers for years. In this article, we will solve the leetcode problem of How to Find the Median of Two Sorted Arrays using two different approaches.<\/p>\n\n\n\n

What is the Median of a Sorted Array?<\/strong><\/h2>\n\n\n\n

The median of an array is referred to as the center element of the sorted array. <\/strong>There can be two cases of finding it:<\/p>\n\n\n\n

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  1. If the array contains an odd number of elements, the median is the middle element in the sorted array.<\/li>\n\n\n\n
  2. If the array has an even number of elements, the median is the average of the two middle elements in the sorted array.<\/li>\n<\/ol>\n\n\n\n

    Let us take a simple example.<\/p>\n\n\n\n

    Consider the array {1, 2, 3, 4, 5}. <\/p>\n\n\n

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    \"Median<\/figure>\n<\/div>\n\n\n

    Since the array is of odd length, the median of the array is simply the middle element that is, 3.<\/p>\n\n\n\n

    Naive Approach<\/strong><\/h3>\n\n\n\n

    Before delving into the optimized approach, let’s briefly discuss the naive approach and its limitations. The naive approach involves merging the two sorted arrays into a single array and then finding the median of the merged array.\u00a0<\/strong><\/p>\n\n\n\n

    Since the arrays are already sorted, we will simply maintain two pointers at the initial of both arrays move them accordingly, and add them into the new merged array.<\/p>\n\n\n\n