Minimum Absolute Difference in an Array


Problem Statement :


The absolute difference is the positive difference between two values a and b, is written | a - b | or | b - a |  and they are equal. If a = 3 and  b = 20,  | 3 - 2 | = | 2 - 3 | = 1 . Given an array of integers, find the minimum absolute difference between any two elements in the array.


Function Description

Complete the minimumAbsoluteDifference function in the editor below. It should return an integer that represents the minimum absolute difference between any pair of elements.

minimumAbsoluteDifference has the following parameter(s):

int arr[n]: an array of integers
Returns

int: the minimum absolute difference found
Input Format

The first line contains a single integer n, the size of arr.
The second line contains n space-separated integers,  arr [ i ].

Constraints

2  <=  n   <=   10^5
- 10^9   <=   arr[ i ]   <=  10^9


Sample Input 0

3
3 -7 0
Sample Output 0

3



Solution :



title-img


                            Solution in C :

In  C :





#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <limits.h>
#include <stdbool.h>

int cmpfunc (const void * a, const void * b)
{
   return ( *(int*)a - *(int*)b );
}

int main(){
    int n,min,i; 
    scanf("%d",&n);
    int a[n];
    for(i=0;i<n;i++){
        scanf("%d",&a[i]);
    }
    qsort(a, n, sizeof(int), cmpfunc);
    min=a[1]-a[0];
    for(i=0;i<n-1;i++){
        if(min>(a[i+1]-a[i])){
            min=(a[i+1]-a[i]);
        }
    }
    printf("%d",min);
    return 0;
}
                        


                        Solution in C++ :

In  C++ :




#include<bits/stdc++.h>

using namespace std;

int main(){
    int n;
    cin >> n;
    int a[n];
    for(int i = 0; i < n; i++){
        cin >> a[i];
    }
    sort(a, a + n);
    int ans = 2000000001;
    for(int i = 1; i < n; i++){
        if(a[i] - a[i - 1] < ans){
            ans = a[i] - a[i - 1];
        }
    }
    cout << ans;
}
                    


                        Solution in Java :

In  Java :




import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;

public class Solution {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int[] a = new int[n];
        for(int a_i=0; a_i < n; a_i++){
            a[a_i] = in.nextInt();
        }
        Arrays.sort(a);
        int minimum=999999999;
        for(int i = 1; i  <  (a.length - 1); i++){
         int temp = Math.abs(a[i+1] - a[i]);
         if (temp  <  minimum)
            minimum = temp;
      }
        // your code goes here
        System.out.println(minimum);
    }
}
                    


                        Solution in Python : 
                            
In Python3 :




#!/bin/python3

import sys


n = int(input().strip())
a = list(map(int, input().strip().split(' ')))
# your code goes here
a.sort()
m=a[-1]-a[0]
for i in range(1,n):
    if a[i]-a[i-1]<m:
        m=a[i]-a[i-1]
print(m)
                    


View More Similar Problems

Balanced Brackets

A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a closing bracket (i.e., ), ], or }) of the exact same type. There are three types of matched pairs of brackets: [], {}, and (). A matching pair of brackets is not balanced if the set of bra

View Solution →

Equal Stacks

ou have three stacks of cylinders where each cylinder has the same diameter, but they may vary in height. You can change the height of a stack by removing and discarding its topmost cylinder any number of times. Find the maximum possible height of the stacks such that all of the stacks are exactly the same height. This means you must remove zero or more cylinders from the top of zero or more of

View Solution →

Game of Two Stacks

Alexa has two stacks of non-negative integers, stack A = [a0, a1, . . . , an-1 ] and stack B = [b0, b1, . . . , b m-1] where index 0 denotes the top of the stack. Alexa challenges Nick to play the following game: In each move, Nick can remove one integer from the top of either stack A or stack B. Nick keeps a running sum of the integers he removes from the two stacks. Nick is disqualified f

View Solution →

Largest Rectangle

Skyline Real Estate Developers is planning to demolish a number of old, unoccupied buildings and construct a shopping mall in their place. Your task is to find the largest solid area in which the mall can be constructed. There are a number of buildings in a certain two-dimensional landscape. Each building has a height, given by . If you join adjacent buildings, they will form a solid rectangle

View Solution →

Simple Text Editor

In this challenge, you must implement a simple text editor. Initially, your editor contains an empty string, S. You must perform Q operations of the following 4 types: 1. append(W) - Append W string to the end of S. 2 . delete( k ) - Delete the last k characters of S. 3 .print( k ) - Print the kth character of S. 4 . undo( ) - Undo the last (not previously undone) operation of type 1 or 2,

View Solution →

Poisonous Plants

There are a number of plants in a garden. Each of the plants has been treated with some amount of pesticide. After each day, if any plant has more pesticide than the plant on its left, being weaker than the left one, it dies. You are given the initial values of the pesticide in each of the plants. Determine the number of days after which no plant dies, i.e. the time after which there is no plan

View Solution →