Two pointer is really an easy and effective technique which is typically used for searching pairs in a sorted arrays.
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 input array is sorted. We start sum of extreme values (smallest and largest) and conditionally move both pointers. We move left pointer i when sum of A[i] and A[j[ is less than X. We do not miss any pair because 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
- C++ Program to compare two string using pointers
- Program to reverse an array using pointers
- Print a given matrix in spiral form using direction tracking method
- Alternate XOR operations on sorted array
- Sum of the distances from every node to all other nodes is maximum
- Divide the array in K segments such that the sum of minimums is maximized
- Maximum value after merging all elements in the array
- Find array such that no subarray has xor zero or Y
- Implement a Dictionary using Trie
- Count equal pairs from given string arrays
- Maximum length sub-array which satisfies the given conditions
- Maximum possible elements which are divisible by 2
- Find k ordered pairs in array with minimum difference d
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