Meta interview question

Given a sorted array, write a program to decide if two elements sum up to a third.

Interview Answers

Anonymous

Apr 8, 2012

the algorithm for 3 elements sum up to a given number is also the same; the only change one needs to make is replace line target=array[i]; with target=total-array[i]; is there an algorithm with a lower order? says O( nlogn ); I am not able to think of anything!

1

Anonymous

Mar 15, 2012

Did you coded a solution < O(n^2 + logn) ?

1

Anonymous

Apr 2, 2012

Assuming each number only appears once: //Java code public static void targetsum(int[] arr, int target) { if(arr == null) return; int start = 0; int end = arr.length -1; while(start target end--; } }

2

Anonymous

Apr 8, 2012

typedef vector vint; bool check_element_sum(vint &array) { // n^2 algorithm sort(array.begin(),array.end()); //general case : nlogn copy(array.begin(),array.end(),ostream_iterator(cout," ")); cout=0;--i) //n^2 { start=0; end=i-1; target=array[i]; //note a<=b<=c for the tuples formed here hence check for c=a+b only while(start

Anonymous

Nov 12, 2012

we can modify the 3sum algorithm for this.

1

Anonymous

Feb 13, 2013

It is possible to do it in O(n) create a binary tree from the sorted array in O(n) subtract each value in array from target and find if its there in the tree, if found push to hash map, with the array item as key and the subtracted value as key next time before subtracting value in the array from target check if it is in the hash map

1

Anonymous

Oct 16, 2014

@Pal the hash map gives a lower constan because /2 elements need to be checked but the lookup is still n*logn

Anonymous

Feb 26, 2015

import java.util.Arrays; import java.util.HashSet; import java.util.List; import java.util.Random; import java.util.Scanner; import java.util.Set; public class SumOfTwoElements { public static void main(String[] args) { final Scanner in = new Scanner(System.in); final Random random = new Random(); while (true) { System.out.println("Enter array size : "); int size = in.nextInt(); int[] array = new int[size]; for (int i = 0; i > findSummingTriplets2(int[] array) { final Set> summingTriplets = new HashSet>(); for (int k = 2; k array[k]) { j--; } else if (sum > findSummingTriplets(int[] array) { final Set> summingTriplets = new HashSet>(); for (int i = 0; i end) { return false; } int mid = start + (end - start) / 2; if (array[mid] > value) { return contains(array, start, mid - 1, value); } else if (array[mid] < value) { return contains(array, mid + 1, end, value); } else { return true; } } }

Anonymous

Feb 10, 2016

bool sumExists(vector nums, int target) { auto front = nums.begin(); auto back = nums.end() - 1; while (front != back) { if (*front + *back == target) return true; else if (*front + *back < target) front++; else back--; } return false; }