Double Dimension Array
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  • What you'll learn
  • ✓What is double dimensional array in C++?
    ✓How to define a 2D array in C?
    ✓What is the syntax for 2D array?
    ✓How to create a 2D array?
    ✓What is the format of a 2D array?
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  • A multidimensional array is an array with more than one dimension. It is the homogeneous collection of items where each element is accessed using multiple indices.
  • datatype arrayName[size1][size2]...[sizeN]; where, datatype: Type of data to be stored in the array. arrayName: Name of the array. size1, size2,…, sizeN: Size of each dimension.
  • The size of an array is equal to the size of the data type multiplied by the total number of elements that can be stored in an array. We can calculate the total number of elements in an array by multiplying the size of each dimension of a multidimensional array. For example: int arr1[2][4]; The array int arr1[2][4] can store total (2*4) = 8 elements. In C++ int data type takes 4 bytes and we have 8 elements in the array ‘arr1’ of the int type. Total size = 4*8 = 32 bytes. int arr2[2][4][8]; Array int arr2[2][4][8] can store total (2*4*8) = 64 elements. The Total size of ‘arr2‘ = 64*4 = 256 bytes.
  • A two-dimensional array in C++ is a collection of elements organized in rows and columns. It can be visualized as a table or a grid, where each element is accessed using two indices: one for the row and one for the column. Like a one-dimensional array, two-dimensional array indices also range from 0 to n-1 for both rows and columns. two dimensional array organisation in c++ Syntax of 2D array data_Type array_name[n][m]; Where, n: Number of rows. m: Number of columns. We can declare a 2D array statically and dynamically. In static declaration, memory is allocated during compile time, and in dynamic memory is allocated during runtime. The above is the syntax for the static declaration of a 2D array. To know how to declare the 2d array dynamically, refer to this article.
  • A two-dimensional array in C++ is a collection of elements organized in rows and columns. It can be visualized as a table or a grid, where each element is accessed using two indices: one for the row and one for the column. Like a one-dimensional array, two-dimensional array indices also range from 0 to n-1 for both rows and columns. Different ways to initialize a 2D array are given below: Using Initializer List Using Loops 1. Initialize 2D array using the Initializer list We can initialize a 2D array using an initializer list in two ways. Below is the first method of initializing a 2D array using an initializer list. First Method: The below array has 2 rows and 4 columns. The elements are filled in a way that the first 4 elements are filled in the first row and the next 4 elements are filled in the second row. int arr[2][4] = {0, 1, 2, 3, 4, 5, 6, 7}; Second Method: The below way is the cleaner way to initialize a 2D array the nested list represents the elements in a row and the number of elements inside it is equal to the number of columns in a 2D array. The number of nested lists represents the number of columns. int x[2][4] = {{0, 1, 2, 3}, {4, 5, 6, 7}};
  • We can also initialize 2D array using loops. To initialize 2D array we have to use two nested loops and nested loops are equal to the dimension. For example, to initialize a 3D array we have to use three nested loops. Let’s see an example. Example: In the below example we have initializes the 2D array with 1. The outer loop is used to track rows “i=0” means the first row because of 0 indexing similarly “j=0” means the first column and combining this x [0][0] represents the first cell of the 2D array. int x[2][4]; for(int i = 0; i < 2; i++){ for(int j = 0; j < 4; j++){ x[i][j] = 1; } }
  • We can access the elements of a 2-dimensional array using row and column indices. It is similar to matrix element position but the only difference is that here indexing starts from 0. Syntax: array_name[i][j]; where, i: Index of row. j: Index of the column. Example: Below is the index of elements of the second row and third column. int x[1][2]; Let’s understand this using code by printing elements of a 2D array. Example of 2D Array // c++ program to illustrate the two dimensional array #include <iostream> using namespace std; int main() { int count = 1; // Declaring 2D array int array1[3][4]; // Initialize 2D array using loop for (int i = 0; i < 3; i++) { for (int j = 0; j < 4; j++) { array1[i][j] = count; count++; } } // Printing the element of 2D array for (int i = 0; i < 3; i++) { for (int j = 0; j < 4; j++) { cout << array1[i][j] << " "; } cout << endl; } return 0; } Output 1 2 3 4 5 6 7 8 9 10 11 12 Explanation: In the above code we have initialized the count by ‘1’ and declared a 2D array with 3 rows and 4 columns after that we initialized the array with the value of count and increment value of count in every iteration of the loop. Then we are printing the 2D array using a nested loop and we can see in the below output that there are 3 rows and 4 columns. Time Complexity: O(n*m) Space Complexity:O(n*m) where n is the number of rows and m is the number of columns.
  • As mentioned in Cpp, a 2D array is a type of data structure that may hold elements in a matrix or grid with two dimensions. Basically, it is an array of arrays. For loops are used to iterate over each element of a 2D array and assign values to each element utilizing nested for loops.
  • There are several main important points of C++ multidimensional array in C++. Some main points of C++ multidimensional are as follows: Initializing an Array with Multiple Dimensions: You can initialize an array with multiple dimensions, such as three dimensions (a cube) or more. Although the startup and traversal concepts remain the same, each additional dimension would require its own loop. Getting to Elements: A multidimensional array's elements are accessed by utilizing their indices. Arr[i][j] denotes the element in a two-dimensional array's i-th row and j-th column. Size of Multidimensional Array and Storage: The number of elements along each dimension determines the size of a multidimensional array. The sum of all the array's allocated memory is calculated using the sizes of all its dimensions. Large arrays should be used with caution because they can use up a lot of memory. Array of Pointers: Arrays of pointers can also be used to generate multidimensional arrays. In this instance, each row of the array serves as a pointer to another array (the column).
  • These arrays capture the core of structured storage and access, whether two-dimensional or higher dimensions. Understanding the declaration, initialization, and traversal grammar enables you to move fluidly through intricate data configurations.

Requirement

A two-dimensional array, also known as a 2D array, is a collection of data elements arranged in a grid-like structure with rows and columns. Each element in the array is referred to as a cell and can be accessed by its row and column indices/indexes.

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