Merging two unsorted arrays in sorted order

Write a SortedMerge() function that takes two lists, each of which is unsorted, and merges the two together into one new list which is in sorted (increasing) order. SortedMerge() should return the new list.

Examples :

Input : a[] = {10, 5, 15}
        b[] = {20, 3, 2}
Output : Merge List :
        {2, 3, 5, 10, 15, 20}

Input : a[] = {1, 10, 5, 15}
        b[] = {20, 0, 2}
Output : Merge List :
        {0, 1, 2, 5, 10, 15, 20}

There are many cases to deal with: either ‘a’ or ‘b’ may be empty, during processing either ‘a’ or ‘b’ may run out first, and finally, there’s the problem of starting the result list empty and building it up while going through ‘a’ and ‘b’.

Method 1 (first Concatenate then Sort): In this case, we first append the two unsorted lists. Then we simply sort the concatenated list. 

Implementation:

C++

// CPP program to merge two unsorted lists
// in sorted order
#include <bits/stdc++.h>
using namespace std;

// Function to merge array in sorted order
void sortedMerge(int a[], int b[], int res[],
                                int n, int m)
{
    // Concatenate two arrays
    int i = 0, j = 0, k = 0;
    while (i < n) {
        res[k] = a[i];
        i += 1;
        k += 1;
    }
    while (j < m) {
        res[k] = b[j];
        j += 1;
        k += 1;
    }

    // sorting the res array
    sort(res, res + n + m);
}

// Driver code
int main()
{
    int a[] = { 10, 5, 15 };
    int b[] = { 20, 3, 2, 12 };
    int n = sizeof(a) / sizeof(a[0]);
    int m = sizeof(b) / sizeof(b[0]);

    // Final merge list
    int res[n + m];
    sortedMerge(a, b, res, n, m);

    cout << "Sorted merged list :";
    for (int i = 0; i < n + m; i++)
        cout << " " << res[i];
    cout << "n";

    return 0;
}

Java

// Java Code for Merging two unsorted
// arrays in sorted order
import java.util.*;

class GFG {

    // Function to merge array in sorted order
    public static void sortedMerge(int a[], int b[],
                                   int res[], int n,
                                   int m)
    {
        // Concatenate two arrays
        int i = 0, j = 0, k = 0;
        while (i < n) {
            res[k] = a[i];
            i++;
            k++;
        }

        while (j < m) {
            res[k] = b[j];
            j++;
            k++;
        }

        // sorting the res array
        Arrays.sort(res);
    }

    /* Driver program to test above function */
    public static void main(String[] args)
    {
        int a[] = { 10, 5, 15 };
        int b[] = { 20, 3, 2, 12 };
        int n = a.length;
        int m = b.length;

        // Final merge list
        int res[]=new int[n + m];
        sortedMerge(a, b, res, n, m);

        System.out.print("Sorted merged list :");
        for (int i = 0; i < n + m; i++)
            System.out.print(" " + res[i]);
    }
}

// This code is contributed by Arnav Kr. Mandal.

Python3

# Python program to merge two unsorted lists
# in sorted order

# Function to merge array in sorted order
def sortedMerge(a, b, res, n, m):
    # Concatenate two arrays
    i, j, k = 0, 0, 0
    while (i < n):
        res[k] = a[i]
        i += 1
        k += 1
    while (j < m):
        res[k] = b[j]
        j += 1
        k += 1

    # sorting the res array
    res.sort()

# Driver code
a = [ 10, 5, 15 ]
b = [ 20, 3, 2, 12 ]
n = len(a)
m = len(b)

# Final merge list
res = [0 for i in range(n + m)]
sortedMerge(a, b, res, n, m)
print ("Sorted merged list :")
for i in range(n + m):
    print(res[i],end=" ")

# This code is contributed by Sachin Bisht

C#

// C# Code for Merging two
// unsorted arrays in sorted order
using System;

class GFG {

    // Function to merge array in sorted order
    public static void sortedMerge(int []a, int []b,
                                   int []res, int n,
                                   int m)
    {
        // Concatenate two arrays
        int i = 0, j = 0, k = 0;
        while (i < n) {
            res[k] = a[i];
            i++;
            k++;
        }

        while (j < m) {
            res[k] = b[j];
            j++;
            k++;
        }

        // sorting the res array
        Array.Sort(res);
    }

    /* Driver program to test above function */
    public static void Main()
    {
        int []a = {10, 5, 15};
        int []b = {20, 3, 2, 12};
        int n = a.Length;
        int m = b.Length;

        // Final merge list
        int []res=new int[n + m];
        sortedMerge(a, b, res, n, m);

        Console.Write("Sorted merged list :");
        for (int i = 0; i < n + m; i++)
            Console.Write(" " + res[i]);
    }
}

// This code is contributed by nitin mittal.

PHP

<?php
// PHP program to merge two unsorted lists
// in sorted order

// Function to merge array in sorted order
function sortedMerge($a, $b, $n, $m)
{
    // Concatenate two arrays
    $res = array();
    $i = 0; $j = 0; $k = 0;
    while ($i < $n)
    {
        $res[$k] = $a[$i];
        $i += 1;
        $k += 1;
    }
    while ($j < $m)
    {
        $res[$k] = $b[$j];
        $j += 1;
        $k += 1;
    }

    // sorting the res array
    sort($res);
    echo "Sorted merged list :";

    for ($i = 0; $i < count($res); $i++)
        echo $res[$i] . " ";
}

// Driver code
$a = array( 10, 5, 15 );
$b = array( 20, 3, 2, 12 );
$n = count($a);
$m = count($b);

// Final merge list

sortedMerge($a, $b, $n, $m);

// This code is contributed by Rajput-Ji.
?>

Javascript

<script>

// Javascript program to merge two unsorted lists
// in sorted order

// Function to merge array in sorted order
function sortedMerge(a, b, res,
                                n, m)
{
    // Sorting a[] and b[]
    a.sort((a,b) => a-b);
    b.sort((a,b) => a-b);

    // Merge two sorted arrays into res[]
    let i = 0, j = 0, k = 0;
    while (i < n && j < m) {
        if (a[i] <= b[j]) {
            res[k] = a[i];
            i += 1;
            k += 1;
        } else {
            res[k] = b[j];
            j += 1;
            k += 1;
        }
    }
    while (i < n) { // Merging remaining
                    // elements of a[] (if any)
        res[k] = a[i];
        i += 1;
        k += 1;
    }
    while (j < m) { // Merging remaining
                    // elements of b[] (if any)
        res[k] = b[j];
        j += 1;
        k += 1;
    }
}

// Driver code

    let a = [ 10, 5, 15 ];
    let b = [ 20, 3, 2, 12 ];
    let n = a.length;
    let m = b.length;

    // Final merge list
    let res = new Array(n + m);

    sortedMerge(a, b, res, n, m);

    document.write("Sorted merge list :");
    for (let i = 0; i < n + m; i++)
        document.write(" " + res[i]);


//This code is contributed by Mayank Tyagi
</script>

Output

Sorted merged list : 2 3 5 10 12 15 20n

Time Complexity: O ( (n + m) (log(n + m)) ) 
Auxiliary Space: O ( (n + m) )

Method 2 (First Sort then Merge): We first sort both the given arrays separately. Then we simply merge two sorted arrays.  

Implementation:

C++

// CPP program to merge two unsorted lists
// in sorted order
#include <bits/stdc++.h>
using namespace std;

// Function to merge array in sorted order
void sortedMerge(int a[], int b[], int res[],
                                int n, int m)
{
    // Sorting a[] and b[]
    sort(a, a + n);
    sort(b, b + m);

    // Merge two sorted arrays into res[]
    int i = 0, j = 0, k = 0;
    while (i < n && j < m) {
        if (a[i] <= b[j]) {
            res[k] = a[i];
            i += 1;
            k += 1;
        } else {
            res[k] = b[j];
            j += 1;
            k += 1;
        }
    }
    while (i < n) {  // Merging remaining
                     // elements of a[] (if any)
        res[k] = a[i];
        i += 1;
        k += 1;
    }
    while (j < m) {   // Merging remaining
                     // elements of b[] (if any)
        res[k] = b[j];
        j += 1;
        k += 1;
    }
}

// Driver code
int main()
{
    int a[] = { 10, 5, 15 };
    int b[] = { 20, 3, 2, 12 };
    int n = sizeof(a) / sizeof(a[0]);
    int m = sizeof(b) / sizeof(b[0]);

    // Final merge list
    int res[n + m];

    sortedMerge(a, b, res, n, m);

    cout << "Sorted merge list :";
    for (int i = 0; i < n + m; i++)
        cout << " " << res[i];
    cout << "n";

    return 0;
}

Java

// JAVA Code for Merging two unsorted
// arrays in sorted order
import java.util.*;

class GFG {

    // Function to merge array in sorted order
    public static void sortedMerge(int a[], int b[],
                                  int res[], int n,
                                            int m)
    {
        // Sorting a[] and b[]
        Arrays.sort(a);
        Arrays.sort(b);

        // Merge two sorted arrays into res[]
        int i = 0, j = 0, k = 0;
        while (i < n && j < m) {
            if (a[i] <= b[j]) {
                res[k] = a[i];
                i += 1;
                k += 1;
            } else {
                res[k] = b[j];
                j += 1;
                k += 1;
            }
        }

        while (i < n) {  // Merging remaining
                         // elements of a[] (if any)
            res[k] = a[i];
            i += 1;
            k += 1;
        }
        while (j < m) {   // Merging remaining
                         // elements of b[] (if any)
            res[k] = b[j];
            j += 1;
            k += 1;
        }
    }

    /* Driver program to test above function */
    public static void main(String[] args)
    {
        int a[] = { 10, 5, 15 };
        int b[] = { 20, 3, 2, 12 };
        int n = a.length;
        int m = b.length;

        // Final merge list
        int res[] = new int[n + m];
        sortedMerge(a, b, res, n, m);

        System.out.print( "Sorted merged list :");
        for (int i = 0; i < n + m; i++)
            System.out.print(" " + res[i]);
    }
}
// This code is contributed by Arnav Kr. Mandal.

Python3

# Python program to merge two unsorted lists
# in sorted order

# Function to merge array in sorted order
def sortedMerge(a, b, res, n, m):
    # Sorting a[] and b[]
    a.sort()
    b.sort()

    # Merge two sorted arrays into res[]
    i, j, k = 0, 0, 0
    while (i < n and j < m):
        if (a[i] <= b[j]):
            res[k] = a[i]
            i += 1
            k += 1
        else:
            res[k] = b[j]
            j += 1
            k += 1

    while (i < n):  # Merging remaining
                    # elements of a[] (if any)
        res[k] = a[i]
        i += 1
        k += 1

    while (j < m):  # Merging remaining
                    # elements of b[] (if any)
        res[k] = b[j]
        j += 1
        k += 1

# Driver code
a = [ 10, 5, 15 ]
b = [ 20, 3, 2, 12 ]
n = len(a)
m = len(b)

# Final merge list
res = [0 for i in range(n + m)]
sortedMerge(a, b, res, n, m)
print ("Sorted merged list :")
for i in range(n + m):
    print(res[i],end=" ")

# This code is contributed by Sachin Bisht

C#

// C# Code for Merging two unsorted
// arrays in sorted order
using System;

class GFG {

    // Function to merge array in
    // sorted order
    static void sortedMerge(int []a, int []b,
                     int []res, int n, int m)
    {

        // Sorting a[] and b[]
        Array.Sort(a);
        Array.Sort(b);

        // Merge two sorted arrays into res[]
        int i = 0, j = 0, k = 0;

        while (i < n && j < m)
        {
            if (a[i] <= b[j])
            {
                res[k] = a[i];
                i += 1;
                k += 1;
            }
            else
            {
                res[k] = b[j];
                j += 1;
                k += 1;
            }
        }

        while (i < n)
        {

            // Merging remaining
            // elements of a[] (if any)
            res[k] = a[i];
            i += 1;
            k += 1;
        }
        while (j < m)
        {

            // Merging remaining
            // elements of b[] (if any)
            res[k] = b[j];
            j += 1;
            k += 1;
        }
    }

    /* Driver program to test
    above function */
    public static void Main()
    {
        int []a = { 10, 5, 15 };
        int []b = { 20, 3, 2, 12 };
        int n = a.Length;
        int m = b.Length;

        // Final merge list
        int []res = new int[n + m];
        sortedMerge(a, b, res, n, m);

        Console.Write( "Sorted merged list :");
        for (int i = 0; i < n + m; i++)
            Console.Write(" " + res[i]);
    }
}

// This code is contributed by nitin mittal.

Javascript

<script>

// JavaScript program to merge two unsorted
// lists in sorted order

// Function to merge array in sorted order
function sortedMerge(a, b, res, n, m)
{

    // Sorting a[] and b[]
    a.sort((a, b) => a - b);
    b.sort((a, b) => a - b);

    // Merge two sorted arrays into res[]
    let i = 0, j = 0, k = 0;
    while (i < n && j < m)
    {
        if (a[i] <= b[j])
        {
            res[k] = a[i];
            i += 1;
            k += 1;
        }
        else
        {
            res[k] = b[j];
            j += 1;
            k += 1;
        }
    }

    // Merging remaining
    // elements of a[] (if any)
    while (i < n)
    {
        res[k] = a[i];
        i += 1;
        k += 1;
    }

    // Merging remaining
    // elements of b[] (if any)
    while (j < m)
    {
        res[k] = b[j];
        j += 1;
        k += 1;
    }
}

// Driver code
let a = [ 10, 5, 15 ];
let b = [ 20, 3, 2, 12 ];
let n = a.length;
let m = b.length;

// Final merge list
let res = new Array(n + m);

sortedMerge(a, b, res, n, m);

document.write("Sorted merge list :");
for(let i = 0; i < n + m; i++)
    document.write(" " + res[i]);

// This code is contributed by Surbhi Tyagi.

</script>

Output

Sorted merge list : 2 3 5 10 12 15 20n

Time Complexity: O (nlogn + mlogm + (n + m)) 
Space Complexity: O ( (n + m) )

It is obvious from above time complexities that method 2 is better than method 1.

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