Two Dimensional Array
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This document discusses multi-dimensional arrays, specifically two-dimensional arrays. It explains that two-dimensional arrays consist of rows and columns to store data in more than one dimension, like a table. The document also covers how two-dimensional arrays are represented in memory, including row-major order and column-major order, and how to calculate the address of an element in a two-dimensional array based on its row and column position. It notes that multi-dimensional arrays can have more than two dimensions as well.
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cluod.pdf
Here is the output of the given code segment:
int count = 0;
double sum = 0;
for (int row = 0; row <jagged.length; row++) {
count += jagged[row].length;
for(int col=0; col<jagged[row].length; col++) {
sum += jagged[row][col];
}
}
System.out.println("Number of elements: " + count);
System.out.println("Sum of all elements: " + sum);
The output would be:
Number of elements: 15
Sum of all elements: 52.0
The outer for loop iterates
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int count = 0;
double sum = 0;
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count += jagged[row].length;
for(int col=0; col<jagged[row].length; col++) {
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}
}
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The document discusses linear data structures using sequential organization. It begins by defining sequential organization as arranging data in a linear order within computer memory such that each element has a unique successor. Arrays are presented as a fundamental example of a sequentially organized data structure, where elements are stored in consecutive memory locations and can be accessed randomly in constant time. The document then covers topics like multi-dimensional arrays, ordered lists, and operations on arrays like insertion, deletion, and retrieval. It also discusses representation of arrays and calculating element addresses.
BHARGAVIARRAY.PPT.pptx
Arrays allow storing and accessing a collection of related data elements under a common name in C. An array is declared with a data type, name, and size. Elements are accessed using an index in square brackets. One-dimensional arrays store elements in contiguous memory locations. Multi-dimensional arrays can represent matrices by using multiple indices to access elements. Arrays can be initialized during declaration by providing initial values inside curly braces.
Datastructures and algorithms prepared by M.V.Brehmanada Reddy
This document provides an introduction to data structures and algorithms. It defines data structures as a way of organizing data that considers both the items stored and their relationship. Common data structures include stacks, queues, lists, trees, graphs, and tables. Data structures are classified as primitive or non-primitive based on how close the data items are to machine-level instructions. Linear data structures like arrays and linked lists store data in a sequence, while non-linear structures like trees and graphs do not rely on sequence. The document outlines several common data structures and their characteristics, as well as abstract data types, algorithms, and linear data structures like arrays. It provides examples of one-dimensional and two-dimensional arrays and how they are represented in
Arrays in c
The document discusses arrays in C programming. It defines arrays as fixed-size collections of elements of the same data type that allow storing and processing large amounts of data. Arrays can be one-dimensional, two-dimensional or multi-dimensional. One-dimensional arrays use a single subscript to identify elements, while two-dimensional arrays use two subscripts to represent rows and columns. The document provides examples of declaring, initializing, and using one-dimensional and two-dimensional arrays in C code.
arrays in data structure.pptx
1. The document discusses data structures and their representation in memory. It defines a data structure as a logical organization of data and storage structure as the physical representation of a data structure in computer memory.
2. Linear and non-linear data structures are described. Linear data structures like arrays have elements arranged sequentially while non-linear structures like linked lists use pointers. Common linear data structure operations like traversal, search, insertion and deletion are also outlined.
3. The key aspects of one-dimensional and multi-dimensional arrays are covered, including their indexing, memory representation and addressing calculations.
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Two Dimensional Array
- 1. MULTI DIMENSIONAL ARRAY Dincy R Arikkat Assistant Professor 1
- 2. 2 Two-Dimensional Arrays The arrays we have discussed so far are known as one-dimensional arrays because the data are organized linearly in only one direction. Many applications require that data be stored in more than one dimension. One common example is a table, which is an array that consists of rows and columns. A two-dimensional array consists of a certain number of rows and columns.
- 4. 4 FIGURE Array Of Arrays
- 6. 6
- 7. MEMORY REPRESENTATION OF MATRIX Row-Major Order Column-Major Order 7
- 8. ROW MAJOR In this method the elements are stored row wise. i.e. n elements of first row are stored in first n locations, n elements of second row are stored in next n locations and so on. 8 A[0][0] A[0][1] A[0][2] A[0][3] A[1][0] A[1][1] A[1][2] A[1][3] A[2][0] A[2][1] A[2][2] A[2][3] A[0][0] 200 A[0][1] 201 A[0][2] 202 A[0][3] 203 A[1][0] 204 A[1][1] 205 A[1][2] 206 A[1][3] 207 A[2][0] 208 A[2][1] 209 A[2][2] 210 A[2][3] 211 Element Address
- 9. COLUMN MAJOR In this method the elements are stored column wise. i.e. m elements of first column are stored in first m locations, m elements of second column are stored in next m locations and so on. 9 A[0][0] A[0][1] A[0][2] A[0][3] A[1][0] A[1][1] A[1][2] A[1][3] A[2][0] A[2][1] A[2][2] A[2][3] A[0][0] 200 A[1][0] 201 A[2][0] 202 A[0][1] 203 A[1][1] 204 A[2][1] 205 A[0][2] 206 A[1][2] 207 A[2][2] 208 A[0][3] 209 A[1][3] 210 A[2][3] 211 Element Address
- 10. ADDRESS CALCULATION Row Major System: Address of A [ I ][ J ] = B.A + [( I – Lr )* N + ( J – Lc ) ]*Size Column Major System: Address of A [ I ][ J ] = B.A + [( I – Lr ) + ( J – Lc )*M]*Size 10
- 11. ADDRESS CALCULATION B.A = Base address I = Row subscript of element whose address is to be found J = Column subscript of element whose address is to be found Size = Storage Size of one element stored in the array (in byte) Lr = Lower limit of row/start row index of matrix, if not given assume 0 (zero) Lc = Lower limit of column/start column index of matrix, if not given assume 0 (zero) M = Number of row of the given matrix N = Number of column of the given matrix Usually number of rows and column of a matrix are given like A[10][15], A[5][2] but if it is given as A[Lr......Ur][Lc.......Uc] So in this case number of rows and columns will be calculated as rows(M)= (Ur-Lr)+1 column(N)=(Uc-Lc)+1 11
- 12. 12 Multidimensional Arrays • Multidimensional arrays can have three, four, or more dimensions. • The C language considers the three- dimensional array to be an array of two- dimensional arrays.
- 13. 13 FIGURE A Three-dimensional Array (3 x 5 x 4)
- 14. Thank You 14