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Merge 3 Sorted Arrays

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  • Difficulty Level : Easy
  • Last Updated : 01 Aug, 2022
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Given 3 arrays (A, B, C) which are sorted in ascending order, we are required to merge them together in ascending order and output the array D. 

Examples: 

Input : A = [1, 2, 3, 4, 5] 
        B = [2, 3, 4]
        C = [4, 5, 6, 7]
Output : D = [1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 7]

Input : A = [1, 2, 3, 5]
        B = [6, 7, 8, 9 ]
        C = [10, 11, 12]
Output: D = [1, 2, 3, 5, 6, 7, 8, 9. 10, 11, 12]

Method 1 (Two Arrays at a time):

We have discussed at Merging 2 Sorted arrays . So we can first merge two arrays and then merge the resultant with the third array.

Algorithm:

function merge(A, B)
    Let m and n be the sizes of A and B
    Let D be the array to store result
   
    // Merge by taking smaller element from A and B
    while i < m and j < n
        if A[i] <= B[j]
            Add A[i] to D and increment i by 1
        else Add B[j] to D and increment j by 1

    // If array A has exhausted, put elements from B
    while j < n
        Add B[j] to D and increment j by 1
   
    // If array B has exhausted, put elements from A
    while i < n
        Add A[j] to D and increment i by 1
   
    Return D

function merge_three(A, B, C)
    T = merge(A, B)
    return merge(T, C)

Below is the implementation of the above approach:

C++




// C++ program to merge three sorted arrays
// by merging two at a time.
#include <iostream>
#include <vector>
using namespace std;
 
using Vector = vector<int>;
 
void printVector(const Vector& a)
{
    cout << "[";
    for (auto e : a)
        cout << e << " ";
    cout << "]" << endl;
}
 
Vector mergeTwo(Vector& A, Vector& B)
{
    // Get sizes of vectors
    int m = A.size();
    int n = B.size();
 
    // Vector for storing Result
    Vector D;
    D.reserve(m + n);
 
    int i = 0, j = 0;
    while (i < m && j < n) {
 
        if (A[i] <= B[j])
            D.push_back(A[i++]);
        else
            D.push_back(B[j++]);
    }
 
    // B has exhausted
    while (i < m)
        D.push_back(A[i++]);
 
    // A has exhausted
    while (j < n)
        D.push_back(B[j++]);
 
    return D;
}
 
// Driver Code
int main()
{
    Vector A = { 1, 2, 3, 5 };
    Vector B = { 6, 7, 8, 9 };
    Vector C = { 10, 11, 12 };
 
    // First Merge A and B
    Vector T = mergeTwo(A, B);
 
    // Print Result after merging T with C
    printVector(mergeTwo(T, C));
    return 0;
}

Java




import java.util.*;
// Java program to merge three sorted arrays
// by merging two at a time.
class GFG {
 
    static ArrayList<Integer> mergeTwo(List<Integer> A,
                                       List<Integer> B)
    {
        // Get sizes of vectors
        int m = A.size();
        int n = B.size();
 
        // ArrayList for storing Result
        ArrayList<Integer> D = new ArrayList<Integer>(m + n);
 
        int i = 0, j = 0;
        while (i < m && j < n) {
 
            if (A.get(i) <= B.get(j))
                D.add(A.get(i++));
            else
                D.add(B.get(j++));
        }
 
        // B has exhausted
        while (i < m)
            D.add(A.get(i++));
 
        // A has exhausted
        while (j < n)
            D.add(B.get(j++));
 
        return D;
    }
 
    // Driver code
    public static void main(String[] args)
    {
        Integer[] a = { 1, 2, 3, 5 };
        Integer[] b = { 6, 7, 8, 9 };
        Integer[] c = { 10, 11, 12 };
        List<Integer> A = Arrays.asList(a);
        List<Integer> B = Arrays.asList(b);
        List<Integer> C = Arrays.asList(c);
 
        // First Merge A and B
        ArrayList<Integer> T = mergeTwo(A, B);
 
        // Print Result after merging T with C
        System.out.println(mergeTwo(T, C));
    }
}
 
/* This code contributed by PrinciRaj1992 */

Python




# Python program to merge three sorted arrays
# by merging two at a time.
 
def merge_two(a, b):
    (m, n) = (len(a), len(b))
    i = j = 0
 
    # Destination Array
    d = []
 
    # Merge from a and b together
    while i < m and j < n:
        if a[i] <= b[j]:
            d.append(a[i])
            i += 1
        else:
            d.append(b[j])
            j += 1
 
    # Merge from a if b has run out
    while i < m:
        d.append(a[i])
        i += 1
 
    # Merge from b if a has run out
    while j < n:
        d.append(b[j])
        j += 1
 
    return d
 
def merge(a, b, c):
    t = merge_two(a, b)
    return merge_two(t, c)
 
if __name__ == "__main__":
    A = [1, 2, 3, 5]
    B = [6, 7, 8, 9]
    C = [10, 11, 12]
    print(merge(A, B, C))

C#




// C# program to merge three sorted arrays
// by merging two at a time.
 
using System;
using System.Collections.Generic;
 
public static class GFG {
  static void printVector(List<int> a)
  {
    Console.Write("[");
    foreach(var e in a)
    {
      Console.Write(e);
      Console.Write(" ");
    }
    Console.Write("]");
    Console.Write("\n");
  }
 
  static List<int> mergeTwo(List<int> A, List<int> B)
  {
    // Get sizes of vectors
    int m = A.Count;
    int n = B.Count;
 
    // Vector for storing Result
    List<int> D = new List<int>();
    D.Capacity = m + n;
 
    int i = 0;
    int j = 0;
    while (i < m && j < n) {
 
      if (A[i] <= B[j]) {
        D.Add(A[i++]);
      }
      else {
        D.Add(B[j++]);
      }
    }
 
    // B has exhausted
    while (i < m) {
      D.Add(A[i++]);
    }
 
    // A has exhausted
    while (j < n) {
      D.Add(B[j++]);
    }
 
    return D;
  }
 
  // Driver Code
  public static void Main()
  {
    List<int> A = new List<int>() { 1, 2, 3, 5 };
    List<int> B = new List<int>() { 6, 7, 8, 9 };
    List<int> C = new List<int>() { 10, 11, 12 };
 
    // First Merge A and B
    List<int> T = mergeTwo(A, B);
 
    // Print Result after merging T with C
    printVector(mergeTwo(T, C));
  }
}
 
// This code is contributed by Aarti_Rathi

Javascript




<script>
// Javascript program to merge three sorted arrays
// by merging two at a time.
 
 
 
 
function mergeTwo(A, B)
{
    // Get sizes of vectors
    let m = A.length;
    let n = B.length;
 
    // Vector for storing Result
    let D = [];
 
    let i = 0, j = 0;
    while (i < m && j < n) {
 
        if (A[i] <= B[j])
            D.push(A[i++]);
        else
            D.push(B[j++]);
    }
 
    // B has exhausted
    while (i < m)
        D.push(A[i++]);
 
    // A has exhausted
    while (j < n)
        D.push(B[j++]);
 
    return D;
}
 
// Driver Code
 
    let A = [ 1, 2, 3, 5 ];
    let B = [ 6, 7, 8, 9 ];
    let C = [ 10, 11, 12 ];
 
    // First Merge A and B
    let T = mergeTwo(A, B);
 
    // Print Result after merging T with C
    document.write(mergeTwo(T, C));
</script>

Output

[1 2 3 5 6 7 8 9 10 11 12 ]

Time Complexity: O(m+n+o) where m, n, o are the lengths of the 1st, 2nd, 3rd Array.
Auxiliary Space: O(m + n + o).

Method 2 (Three arrays at a time):

The Space complexity of method 1 can be improved if we merge the three arrays together. 

function merge-three(A, B, C)
    Let m, n, o be size of A, B, and C
    Let D be the array to store the result
    
    // Merge three arrays at the same time
    while i < m and j < n and k < o
        Get minimum of A[i], B[j], C[i]
        if the minimum is from A, add it to 
           D and advance i
        else if the minimum is from B add it 
                to D and advance j
        else if the minimum is from C add it 
                to D and advance k
    
   // After above step at least 1 array has 
   // exhausted. Only C has exhausted
   while i < m and j < n
       put minimum of A[i] and B[j] into D
       Advance i if minimum is from A else advance j 
   
   // Only B has exhausted
   while i < m and k < o
       Put minimum of A[i] and C[k] into D
       Advance i if minimum is from A else advance k
 
   // Only A has exhausted
   while j < n and k < o
       Put minimum of B[j] and C[k] into D
       Advance j if minimum is from B else advance k

   // After above steps at least 2 arrays have 
   // exhausted
   if A and B have exhausted take elements from C
   if B and C have exhausted take elements from A
   if A and C have exhausted take elements from B
   
   return D

Time Complexity: O(m+n+o) where m, n, o are the lengths of the 1st, 2nd, and 3rd array.
Auxiliary Space: O(1).

Below is the implementation of the above approach:

C++




// C++ program to merger three sorted arrays
// by merging three simultaneously.
#include <iostream>
#include <vector>
using namespace std;
 
using Vector = vector<int>;
 
void printVector(const Vector& a)
{
    cout << "[";
    for (auto e : a) {
        cout << e << " ";
    }
    cout << "]" << endl;
}
 
Vector mergeThree(Vector& A, Vector& B,
                  Vector& C)
{
    int m, n, o, i, j, k;
    // Get Sizes of three vectors
    m = A.size();
    n = B.size();
    o = C.size();
 
    // Vector for storing output
    Vector D;
    D.reserve(m + n + o);
 
    i = j = k = 0;
 
    while (i < m && j < n && k < o) {
 
        // Get minimum of a, b, c
        int m = min(min(A[i], B[j]), C[k]);
 
        // Put m in D
        D.push_back(m);
 
        // Increment i, j, k
        if (m == A[i])
            i++;
        else if (m == B[j])
            j++;
        else
            k++;
    }
 
    // C has exhausted
    while (i < m && j < n) {
        if (A[i] <= B[j]) {
            D.push_back(A[i]);
            i++;
        }
        else {
            D.push_back(B[j]);
            j++;
        }
    }
 
    // B has exhausted
    while (i < m && k < o) {
        if (A[i] <= C[k]) {
            D.push_back(A[i]);
            i++;
        }
        else {
            D.push_back(C[k]);
            k++;
        }
    }
 
    // A has exhausted
    while (j < n && k < o) {
        if (B[j] <= C[k]) {
            D.push_back(B[j]);
            j++;
        }
        else {
            D.push_back(C[k]);
            k++;
        }
    }
 
    // A and B have exhausted
    while (k < o)
        D.push_back(C[k++]);
 
    // B and C have exhausted
    while (i < m)
        D.push_back(A[i++]);
 
    // A and C have exhausted
    while (j < n)
        D.push_back(B[j++]);
 
    return D;
}
 
// Driver Code
int main()
{
    Vector A = { 1, 2, 41, 52, 84 };
    Vector B = { 1, 2, 41, 52, 67 };
    Vector C = { 1, 2, 41, 52, 67, 85 };
 
    // Print Result
    printVector(mergeThree(A, B, C));
    return 0;
}

Java




import java.util.*;
import java.io.*;
import java.lang.*;
class Sorting {
    public static void main(String[] args)
    {
        int A[] = { 1, 2, 41, 52, 84 };
        int B[] = { 1, 2, 41, 52, 67 };
        int C[] = { 1, 2, 41, 52, 67, 85 };
 
        // call the function to sort and print the sorted numbers
        merge3sorted(A, B, C);
    }
 
    // Function to merge three sorted arrays
    // A[], B[], C[]: input arrays
    static void merge3sorted(int A[], int B[], int C[])
    {
        // creating an empty list to store sorted numbers
        ArrayList<Integer> list = new ArrayList<Integer>();
        int i = 0, j = 0, k = 0;
 
        // using merge concept and trying to find
        // smallest of three while all three arrays
        // contains at least one element
        while (i < A.length && j < B.length && k < C.length) {
            int a = A[i];
            int b = B[j];
            int c = C[k];
            if (a <= b && a <= c) {
                list.add(a);
                i++;
            }
            else if (b <= a && b <= c) {
                list.add(b);
                j++;
            }
            else {
                list.add(c);
                k++;
            }
        }
        // next three while loop is to sort two
        // of arrays if one of the three gets exhausted
        while (i < A.length && j < B.length) {
            if (A[i] < B[j]) {
                list.add(A[i]);
                i++;
            }
            else {
                list.add(B[j]);
                j++;
            }
        }
        while (j < B.length && k < C.length) {
            if (B[j] < C[k]) {
                list.add(B[j]);
                j++;
            }
            else {
                list.add(C[k]);
                k++;
            }
        }
        while (i < A.length && k < C.length) {
            if (A[i] < C[k]) {
                list.add(A[i]);
                i++;
            }
            else {
                list.add(C[k]);
                k++;
            }
        }
 
        // if one of the array are left then
        // simply appending them as there will
        // be only largest element left
        while (i < A.length) {
            list.add(A[i]);
            i++;
        }
        while (j < B.length) {
            list.add(B[j]);
            j++;
        }
        while (k < C.length) {
            list.add(C[k]);
            k++;
        }
       
        // finally print the list
        for (Integer x : list)
            System.out.print(x + " ");
    } // merge3sorted closing braces
}

Python




# Python program to merge three sorted arrays
# simultaneously.
 
def merge_three(a, b, c):
    (m, n, o) = (len(a), len(b), len(c))
    i = j = k = 0
 
    # Destination array
    d = []
 
    while i < m and j < n and k < o:
 
        # Get Minimum element
        m = min(a[i], b[j], c[k])
 
        # Add m to D
        d.append(m)
 
        # Increment the source pointer which
        # gives m
        if a[i] == m:
            i += 1
        elif b[j] == m:
            j += 1
        elif c[k] == m:
            k += 1
 
    # Merge a and b in c has exhausted
    while i < m and j < n:
        if a[i] <= b[k]:
            d.append(a[i])
            i += 1
        else:
            d.append(b[j])
            j += 1
 
    # Merge b and c if a has exhausted
    while j < n and k < o:
        if b[j] <= c[k]:
            d.append(b[j])
            j += 1
        else:
            d.append(c[k])
            k += 1
 
    # Merge a and c if b has exhausted
    while i < m and k < o:
        if a[i] <= c[k]:
            d.append(a[i])
            i += 1
        else:
            d.append(c[k])
            k += 1
 
    # Take elements from a if b and c
    # have exhausted
    while i < m:
        d.append(a[i])
        i += 1
 
    # Take elements from b if a and c
    # have exhausted
    while j < n:
        d.append(b[j])
        j += 1
 
    # Take elements from c if a and
    # b have exhausted
    while k < o:
        d.append(c[k])
        k += 1
 
    return d
 
if __name__ == "__main__":
    a = [1, 2, 41, 52, 84]
    b = [1, 2, 41, 52, 67]
    c = [1, 2, 41, 52, 67, 85]
 
    print(merge_three(a, b, c))

C#




// Online C# Editor for free
// Write, Edit and Run your C# code using C# Online Compiler   
using System;
using System.Collections; 
 
class Sorting
{
 
  // Function to merge three sorted arrays
  // A[], B[], C[]: input arrays
  static void merge3sorted(int []A, int []B, int []C)
  {
    // creating an empty list to store sorted numbers
    ArrayList list = new ArrayList();
    int i = 0, j = 0, k = 0;
 
    // using merge concept and trying to find
    // smallest of three while all three arrays
    // contains at least one element
    while (i < A.Length && j < B.Length && k < C.Length) {
      int a = A[i];
      int b = B[j];
      int c = C[k];
      if (a <= b && a <= c) {
        list.Add(a);
        i++;
      }
      else if (b <= a && b <= c) {
        list.Add(b);
        j++;
      }
      else {
        list.Add(c);
        k++;
      }
    }
    // next three while loop is to sort two
    // of arrays if one of the three gets exhausted
    while (i < A.Length && j < B.Length) {
      if (A[i] < B[j]) {
        list.Add(A[i]);
        i++;
      }
      else {
        list.Add(B[j]);
        j++;
      }
    }
    while (j < B.Length && k < C.Length) {
      if (B[j] < C[k]) {
        list.Add(B[j]);
        j++;
      }
      else {
        list.Add(C[k]);
        k++;
      }
    }
    while (i < A.Length && k < C.Length) {
      if (A[i] < C[k]) {
        list.Add(A[i]);
        i++;
      }
      else {
        list.Add(C[k]);
        k++;
      }
    }
 
    // if one of the array are left then
    // simply appending them as there will
    // be only largest element left
    while (i < A.Length) {
      list.Add(A[i]);
      i++;
    }
    while (j < B.Length) {
      list.Add(B[j]);
      j++;
    }
    while (k < C.Length) {
      list.Add(C[k]);
      k++;
    }
 
    Console.Write("[ ");
    // finally print the list
    for (int x=0;x<list.Count;x++)
      Console.Write(list[x]+" ");
 
    Console.Write("]");
  } // merge3sorted closing braces
 
 
  public static void Main(string[] args)
  {
 
    int[] A = { 1, 2, 41, 52, 84 };
    int[] B = { 1, 2, 41, 52, 67 };
    int[] C = { 1, 2, 41, 52, 67, 85 };
 
    // call the function to sort and print the sorted numbers
    merge3sorted(A, B, C);
 
  }
}
 
// This code is contributed by Aarti_Rathi

Javascript




<script>
// Javascript program to merger three sorted arrays
// by merging three simultaneously.
function printVector(a) {
    document.write("[");
    for (let e of a) {
        document.write(e + " ");
    }
    document.write("]" + "<br>");
}
 
function mergeThree(A, B, C)
{
    let m, n, o, i, j, k;
     
    // Get Sizes of three vectors
    m = A.length;
    n = B.length;
    o = C.length;
 
    // Vector for storing output
    let D = [];
    i = j = k = 0;
    while (i < m && j < n && k < o)
    {
 
        // Get minimum of a, b, c
        let m = Math.min(Math.min(A[i], B[j]), C[k]);
 
        // Put m in D
        D.push(m);
 
        // Increment i, j, k
        if (m == A[i])
            i++;
        else if (m == B[j])
            j++;
        else
            k++;
    }
 
    // C has exhausted
    while (i < m && j < n) {
        if (A[i] <= B[j]) {
            D.push(A[i]);
            i++;
        }
        else {
            D.push(B[j]);
            j++;
        }
    }
 
    // B has exhausted
    while (i < m && k < o) {
        if (A[i] <= C[k]) {
            D.push(A[i]);
            i++;
        }
        else {
            D.push(C[k]);
            k++;
        }
    }
 
    // A has exhausted
    while (j < n && k < o) {
        if (B[j] <= C[k]) {
            D.push(B[j]);
            j++;
        }
        else {
            D.push(C[k]);
            k++;
        }
    }
 
    // A and B have exhausted
    while (k < o)
        D.push(C[k++]);
 
    // B and C have exhausted
    while (i < m)
        D.push(A[i++]);
 
    // A and C have exhausted
    while (j < n)
        D.push(B[j++]);
 
    return D;
}
 
// Driver Code
 
let A = [1, 2, 41, 52, 84];
let B = [1, 2, 41, 52, 67];
let C = [1, 2, 41, 52, 67, 85];
 
// Print Result
printVector(mergeThree(A, B, C));
 
// This code is contributed by gfgking.
</script>

Output

[1 1 1 2 2 2 41 41 41 52 52 52 67 67 84 85 ]

Time Complexity: O(m+n+o) where m, n, o are the lengths of the 1st, 2nd, and 3rd array.
Auxiliary Space: O(m+n+o).

Note: While it is relatively easy to implement direct procedures to merge two or three arrays, the process becomes cumbersome if we want to merge 4 or more arrays. In such cases, we should follow the procedure shown in Merge K Sorted Arrays .

Another Approach (Without caring about the exhausting array):
The code written above can be shortened by the below code. Here we do not need to write code if any array gets exhausted.

Below is the implementation of the above approach:

C++




// C++ program to merge three sorted arrays
// by merging two at a time.
#include <bits/stdc++.h>
using namespace std;
 
    // A[], B[], C[]: input arrays
    // Function to merge three sorted lists into a single
    // list.
    vector<int> merge3sorted(vector<int> &A,vector<int> &B,
                                           vector<int> &C)
    {
        vector<int> ans;
        int l1 = A.size();
        int l2 = B.size();
        int l3 = C.size();
        int i = 0, j = 0, k = 0;
        while (i < l1 || j < l2 || k < l3) {
            // Assigning a, b, c with max values so that if
            // any value is not present then also we can sort
            // the array.
            int a = INT_MAX,
                b = INT_MAX,
                c = INT_MAX;
  
            // a, b, c variables are assigned only if the
            // value exist in the array.
            if (i < l1)
                a = A[i];
            if (j < l2)
                b = B[j];
            if (k < l3)
                c = C[k];
  
            // Checking if 'a' is the minimum
            if (a <= b && a <= c) {
                ans.push_back(a);
                i++;
            }
            // Checking if 'b' is the minimum
            else if (b <= a && b <= c) {
                ans.push_back(b);
                j++;
            }
            // Checking if 'c' is the minimum
            else {
                if (c <= a && c <= b) {
                    ans.push_back(c);
                    k++;
                }
            }
        }
        return ans;
    }
 
    // A utility function to print array list
    void printeSorted(vector<int> list)
    {
        for (auto x : list)
            cout<<x<<" ";
    }
    // Driver program to test above functions
     int main()
    {
        vector<int> A = { 1, 2, 41, 52, 84 };
        vector<int> B = { 1, 2, 41, 52, 67 };
        vector<int> C = { 1, 2, 41, 52, 67, 85 };
  
        vector<int> final_ans
            = merge3sorted(A, B, C);
        printeSorted(final_ans);
        return 0;
    }
     
// This code is contributed by Pushpesh raj

Java




/*package whatever //do not write package name here */
 
import java.io.*;
import java.lang.*;
import java.util.*;
 
// Java program to merge three sorted arrays
// by merging two at a time.
 
// This code is contributed by Animesh Nag
 
class Solution {
    // A[], B[], C[]: input arrays
    // Function to merge three sorted lists into a single
    // list.
    static ArrayList<Integer> merge3sorted(int A[], int B[],
                                           int C[])
    {
        ArrayList<Integer> ans = new ArrayList<Integer>();
        int l1 = A.length;
        int l2 = B.length;
        int l3 = C.length;
        int i = 0, j = 0, k = 0;
        while (i < l1 || j < l2 || k < l3) {
            // Assigning a, b, c with max values so that if
            // any value is not present then also we can sort
            // the array.
            int a = Integer.MAX_VALUE,
                b = Integer.MAX_VALUE,
                c = Integer.MAX_VALUE;
 
            // a, b, c variables are assigned only if the
            // value exist in the array.
            if (i < l1)
                a = A[i];
            if (j < l2)
                b = B[j];
            if (k < l3)
                c = C[k];
 
            // Checking if 'a' is the minimum
            if (a <= b && a <= c) {
                ans.add(a);
                i++;
            }
            // Checking if 'b' is the minimum
            else if (b <= a && b <= c) {
                ans.add(b);
                j++;
            }
            // Checking if 'c' is the minimum
            else {
                if (c <= a && c <= b) {
                    ans.add(c);
                    k++;
                }
            }
        }
        return ans;
    }
}
 
class GFG {
    // Driver program to test above functions
    public static void main(String[] args)
    {
        int[] A = { 1, 2, 41, 52, 84 };
        int[] B = { 1, 2, 41, 52, 67 };
        int[] C = { 1, 2, 41, 52, 67, 85 };
 
        Solution sol = new Solution();
        ArrayList<Integer> final_ans
            = sol.merge3sorted(A, B, C);
        printeSorted(final_ans);
    }
    // A utility function to print array list
    static void printeSorted(ArrayList<Integer> list)
    {
        for (Integer x : list)
            System.out.print(x + " ");
    }
}

Python




# Python program to merge three sorted arrays
# simultaneously.
def merge3sorted(A, B, C):
    (l1, l2, l3) = (len(A), len(B), len(C))
    i = j = k = 0
  
    # Destination array
    ans = []
  
    while (i < l1 or j < l2 or k < l3):
  
        # Assigning a, b, c with max values so that if
        # any value is not present then also we can sort
        # the array
        a = 9999
        b = 9999
        c = 9999
         
        # a, b, c variables are assigned only if the
        # value exist in the array.
        if (i < l1):
            a = A[i]
        if (j < l2):
            b = B[j]
        if (k < l3):
            c = C[k]
             
        # Checking if 'a' is the minimum
        if (a <= b and a <= c):
            ans.append(a)
            i += 1
             
        # Checking if 'b' is the minimum
        elif (b <= a and b <= c):
            ans.append(b)
            j += 1
             
        # Checking if 'c' is the minimum
        elif (c <= a and c <= b):
            ans.append(c)
            k += 1
             
    return ans
   
if __name__ == "__main__":
    A = [1, 2, 41, 52, 84]
    B = [1, 2, 41, 52, 67]
    C = [1, 2, 41, 52, 67, 85]
     
    print(merge3sorted(A, B, C))
 
# This code is contributed by Aarti_Rathi

C#




using System;
using System.Collections.Generic;
 
public static class GFG {
  // C# program to merge three sorted arrays
  // by merging two at a time.
 
  // A[], B[], C[]: input arrays
  // Function to merge three sorted lists into a single
  // list.
  public static List<int>
    merge3sorted(List<int> A, List<int> B, List<int> C)
  {
    List<int> ans = new List<int>();
    int l1 = A.Count;
    int l2 = B.Count;
    int l3 = C.Count;
    int i = 0;
    int j = 0;
    int k = 0;
    while (i < l1 || j < l2 || k < l3) {
      // Assigning a, b, c with max values so that if
      // any value is not present then also we can
      // sort the array.
      int a = int.MaxValue;
      int b = int.MaxValue;
      int c = int.MaxValue;
 
      // a, b, c variables are assigned only if the
      // value exist in the array.
      if (i < l1) {
        a = A[i];
      }
      if (j < l2) {
        b = B[j];
      }
      if (k < l3) {
        c = C[k];
      }
 
      // Checking if 'a' is the minimum
      if (a <= b && a <= c) {
        ans.Add(a);
        i++;
      }
      // Checking if 'b' is the minimum
      else if (b <= a && b <= c) {
        ans.Add(b);
        j++;
      }
      // Checking if 'c' is the minimum
      else {
        if (c <= a && c <= b) {
          ans.Add(c);
          k++;
        }
      }
    }
    return new List<int>(ans);
  }
 
  // A utility function to print array list
  public static void printeSorted(List<int> list)
  {
    foreach(var x in list)
    {
      Console.Write(x);
      Console.Write(" ");
    }
  }
  // Driver program to test above functions
  public static void Main()
  {
    List<int> A = new List<int>() { 1, 2, 41, 52, 84 };
    List<int> B = new List<int>() { 1, 2, 41, 52, 67 };
    List<int> C
      = new List<int>() { 1, 2, 41, 52, 67, 85 };
 
    List<int> final_ans = merge3sorted(A, B, C);
    printeSorted(new List<int>(final_ans));
  }
}
 
  // This code is contributed by Aarti_Rathi

Javascript




// javascript program to merge three sorted arrays
// by merging two at a time.
 
// A[], B[], C[]: input arrays
// Function to merge three sorted lists into a single
// list.
function merge3sorted(A, B, C)
{
    var ans = new Array();
    var l1 = A.length;
    var l2 = B.length;
    var l3 = C.length;
    var i = 0;
    var j = 0;
    var k = 0;
    while (i < l1 || j < l2 || k < l3)
    {
        // Assigning a, b, c with max values so that if
        // any value is not present then also we can sort
        // the array.
        var a = Number.MAX_VALUE;
        var b = Number.MAX_VALUE;
        var c = Number.MAX_VALUE;
        // a, b, c variables are assigned only if the
        // value exist in the array.
        if (i < l1)
        {
            a = A[i];
        }
        if (j < l2)
        {
            b = B[j];
        }
        if (k < l3)
        {
            c = C[k];
        }
        // Checking if 'a' is the minimum
        if (a <= b && a <= c)
        {
            (ans.push(a) > 0);
            i++;
        }
        else if (b <= a && b <= c)
        {
            (ans.push(b) > 0);
            j++;
        }
        else
        {
            if (c <= a && c <= b)
            {
                (ans.push(c) > 0);
                k++;
            }
        }
    }
    return ans;
}
 
 
     
     
// A utility function to print array list
function printeSorted(list)
{
    console.log("[ ");
    for ( const  x of list) {console.log(x + " ");}
    console.log(" ]");
}
 
// Driver program to test above functions
var A = [1, 2, 41, 52, 84];
var B = [1, 2, 41, 52, 67];
var C = [1, 2, 41, 52, 67, 85];
var final_ans = merge3sorted(A, B, C);
printeSorted(final_ans);
 
// This code is contributed by Aarti_Rathi

Output

1 1 1 2 2 2 41 41 41 52 52 52 67 67 84 85 

Time Complexity: O(m+n+o) where m, n, o are the lengths of the 1st, 2nd, and 3rd array.
Space Complexity: O(m+n+o)


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