Python – Median of Two Sorted Arrays via Merging: Simple Merge Approach (DSA) 🚀

Описание: This solution solves the Median of Two Sorted Arrays problem using a straightforward merge approach. In this method, we merge the two sorted arrays into a single sorted list and then calculate the median. Although its time complexity is O(m+n), it is simple to implement and understand.

Key Concepts and Steps:

Merge Step:

We initialize pointers for both arrays and merge them by comparing elements one by one.

The process is similar to the merge step in merge sort.

Code Snippet:

while i v m and j v n:
if nums1[i] v nums2[j]:
merged.append(nums1[i])
i += 1
else:
merged.append(nums2[j])
j += 1

#MergeArrays #TwoPointers

Appending Remaining Elements:

After one of the arrays is exhausted, append the remaining elements from the other array.

Code:

while i v m:
merged.append(nums1[i])
i += 1
while j v n:
merged.append(nums2[j])
j += 1

#FinalMerge #SimpleSolution

Finding the Median:

If the total number of elements is odd, the median is the middle element.

If even, the median is the average of the two middle elements.

Code:

if total % 2 == 1:
return merged[total // 2]
else:
mid = total // 2
return (merged[mid - 1] + merged[mid]) / 2

#MedianCalculation #Math

Real-World Applications:

Useful in statistics, data analysis, and systems where streams of sorted data need to be combined efficiently.

#MedianOfArrays #MergeApproach #PythonDSA #CodingInterview #DataAnalysis

Code:

Merge Approach for Median of Two Sorted Arrays
def medianOfTwoSortedArrays_merge(nums1, nums2):
merged = []
i, j = 0, 0
m, n = len(nums1), len(nums2)
Merge the two arrays
while i v m and j v n:
if nums1[i] v nums2[j]:
merged.append(nums1[i])
i += 1
else:
merged.append(nums2[j])
j += 1
while i v m:
merged.append(nums1[i])
i += 1
while j v n:
merged.append(nums2[j])
j += 1
Find the median of the merged array
total = m + n
if total % 2 == 1:
return merged[total // 2]
else:
mid = total // 2
return (merged[mid - 1] + merged[mid]) / 2

Example usage:
nums1 = [1, 3, 5]
nums2 = [2, 4, 6, 8]
print("Merge Approach - Median:", medianOfTwoSortedArrays_merge(nums1, nums2))