Two pointers is really an easy and effective technique which is typically used for searching pairs in a sorted array.
Given a sorted array A (sorted in ascending order), having N integers, find if there exists any pair of elements (A[i], A[j]) such that their sum is equal to X.
Let’s see the naive solution.
The time complexity of this solution is O(n2).
Now let’s see how the two-pointer technique works. We take two pointers, one representing the first element and other representing the last element of the array, and then we add the values kept at both the pointers. If their sum is smaller than X then we shift the left pointer to right or if their sum is greater than X then we shift the right pointer to left, in order to get closer to the sum. We keep moving the pointers until we get the sum as X.
The above solution works in O(n)
How does this work?
The algorithm basically uses the fact that the input array is sorted. We start the sum of extreme values (smallest and largest) and conditionally move both pointers. We move left pointer i when the sum of A[i] and A[j] is less than X. We do not miss any pair because the sum is already smaller than X. Same logic applies for right pointer j.
More problems based on two pointer technique.
- Find the closest pair from two sorted arrays
- Find the pair in array whose sum is closest to x
- Find all triplets with zero sum
- Find a triplet that sum to a given value
- Find a triplet such that sum of two equals to third element
- Find four elements that sum to a given value
- Window Sliding Technique
- Program to reverse an array using pointers
- C++ Program to compare two string using pointers
- Count of subsets not containing adjacent elements
- Bitwise AND of the sum of prime numbers and the sum of composite numbers in an array
- Minimum cost to make all array elements equal
- XOR of elements in an array having prime frequency
- Find the sum of all possible pairs in an array of N elements
- Minimum sum obtained from groups of four elements from the given array
- Find the minimum capacity of the train required to hold the passengers
- Check if array contains contiguous integers with duplicates allowed
- Number of Subarrays with positive product
- Find subarray with given sum with negatives allowed in constant space
- Find number of subarrays with XOR value a power of 2
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