Given two sorted arrays of distinct elements, we need to print those elements from both arrays that are not common. The output should be printed in sorted order.
Examples :
Input : arr1[] = {10, 20, 30} arr2[] = {20, 25, 30, 40, 50} Output : 10 25 40 50 We do not print 20 and 30 as these elements are present in both arrays. Input : arr1[] = {10, 20, 30} arr2[] = {40, 50} Output : 10 20 30 40 50
Method 1:
The idea is based on the merge process of merge sort. We traverse both arrays and skip common elements.
Python3
# Python 3 program to find uncommon # elements of two sorted arrays def printUncommon(arr1, arr2, n1, n2): i = 0 j = 0 k = 0 while (i < n1 and j < n2): # If not common, print smaller if (arr1[i] < arr2[j]): print (arr1[i], end = " " ) i = i + 1 k = k + 1 elif (arr2[j] < arr1[i]): print (arr2[j], end = " " ) k = k + 1 j = j + 1 # Skip common element else : i = i + 1 j = j + 1 # printing remaining elements while (i < n1): print (arr1[i], end = " " ) i = i + 1 k = k + 1 while (j < n2): print (arr2[j], end = " " ) j = j + 1 k = k + 1 # Driver code arr1 = [ 10 , 20 , 30 ] arr2 = [ 20 , 25 , 30 , 40 , 50 ] n1 = len (arr1) n2 = len (arr2) printUncommon(arr1, arr2, n1, n2) |
10 25 40 50
Time Complexity: O(n1 + n2), where n1 and n2 represents the size of the given two arrays.
Auxiliary Space: O(1), no extra space is required, so it is a constant.
Method 2: Using Counter() function
Python3
from collections import Counter # Python 3 program to find uncommon # elements of two sorted arrays def printUncommon(arr1, arr2): frequency_arr1 = Counter(arr1) frequency_arr2 = Counter(arr2) result = [] for key in frequency_arr1: if key not in frequency_arr2: result.append(key) for key in frequency_arr2: if key not in frequency_arr1: result.append(key) # Sorting the result result.sort() for i in result: print (i, end = ' ' ) # Driver code arr1 = [ 10 , 20 , 30 ] arr2 = [ 20 , 25 , 30 , 40 , 50 ] printUncommon(arr1, arr2) |
10 25 40 50
Please refer complete article on Print uncommon elements from two sorted arrays for more details!
Time Complexity: O(n*logn), as sort() function is used.
Auxiliary Space : O(n), where n is length of result list.
Method 3: using operator.countOf() method
Python3
# Python 3 program to find uncommon # elements of two sorted arrays import operator as op def printUncommon(arr1, arr2): result = [] for key in arr1: if op.countOf(arr2, key) = = 0 : result.append(key) for key in arr2: if op.countOf(arr1, key) = = 0 : result.append(key) # Sorting the result result.sort() for i in result: print (i, end = ' ' ) # Driver code arr1 = [ 10 , 20 , 30 ] arr2 = [ 20 , 25 , 30 , 40 , 50 ] printUncommon(arr1, arr2) |
10 25 40 50
Time Complexity: O(NLogN)
Auxiliary Space : O(N)
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