(Fill in the Blanks) Fill in the blanks in each of the following: a) The names of the four elements of array p (int p[4];) are ___, ___ , ___ and ___. b) Naming an array, stating its type and specifying the number of elements in the array is called __ the array. c) By convention, the first subscript in a two-dimensional array identifies an element's ___ and the second subscript identifies an element's ___. d) An m-by-n array contains __ rows, __ columns and ___ elements. c) The name of the element in row 3 and column 5 of array \(d\) is __.

Short Answer

Expert verified
a) p[0], p[1], p[2], p[3] b) declaring c) row, column d) m rows, n columns, m*n elements e) d[2][4]

Step by step solution

01

- Identify Array Element Names

To derive the names of the elements in a one-dimensional integer array declared in C/C++ (like int p[4];), note that array indexing starts at 0. The array p with 4 elements will have indices from 0 to 3. Therefore, the names of the elements correspond to these indices prefixed by the array name 'p'.
02

- Define Array Declaration

Declaring an array involves specifying the array's name, its type, and the number of elements it can hold. This process sets aside memory for the array and is referred to as 'declaring' the array.
03

- Two-Dimensional Array Subscripts

In a two-dimensional array, by convention, the subscripts are used to access the array's elements. The first subscript usually identifies the row of the array, while the second subscript identifies the column.
04

- Understanding m-by-n Arrays

An m-by-n array is an array with m rows and n columns. The total number of elements is the product of the number of rows and columns.
05

- Accessing Elements in Two-Dimensional Arrays

When you need to access a specific element in a two-dimensional array, you use its row and column indices. In an array d, the element in row 3 and column 5 is named by using its row and column indices in the format d[row][column], considering array indexing starts at 0.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Array Declaration
Understanding how to declare an array in C++ is crucial for organizing and storing multiple items of the same type. An array declaration involves three important components: the name of the array, the type of elements it will store, and the number of elements it can hold. For example, int numbers[5]; declares an array named 'numbers' that can store five integer values.

An array declaration is akin to assigning a row of mailboxes to a postal worker—each mailbox will have a label and can hold a specific type of content up to a certain capacity. Similarly, each element in the array is like a 'mailbox' which can be assigned a value of the declared type.
Array Indexing
Just as every house on a street has a unique address, array indexing provides a way to individually address each element within an array. C++ arrays are zero-indexed, meaning the first element has an index of 0, not 1. This would make the elements of an array named 'data' with 3 elements as data[0], data[1], and data[2].

When you reference or modify an element, you use the array name followed by the index in square brackets. Remember, if you try to access an index that is out of range—either negative or beyond the last index of the array—you will encounter errors that could crash your program or cause unexpected behavior.
Two-Dimensional Arrays
Imagine a two-dimension array as a grid or a table, with rows and columns. In C++, a two-dimensional array is declared specifying both dimensions. An example declaration looks like int matrix[3][4]; which signifies a table with 3 rows and 4 columns.

In such an array, the first index corresponds to the row, and the second corresponds to the column. Hence, matrix[0][2] references the third element in the first row. It's as if you're playing Battleship—the row tells you which line to look at, and the column pinpoints the exact location on that line.
C++ Programming Education
When learning C++ programming, mastering arrays is like getting your tool belt before working on a construction project. Through proper C++ programming education, students gain an appreciation of arrays as a fundamental structure for handling collections of data. Good practices include understanding how to navigate with indices, initializing arrays correctly, and comprehending multidimensional arrays' layout.

Educational resources often use practical examples and exercises to solidify these concepts. By frequently applying these concepts in code, such as creating and modifying arrays, the student builds a solid foundation for tackling more advanced programming tasks and algorithms that rely heavily on array manipulation.

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Most popular questions from this chapter

(Double Array Questions) Answer the following questions regarding an array called table: a) Declare the array to be an integer array and to have 3 rows and 3 columns. Assume that the constant variable arraysize has been defined to be 3 b) How many elements does the array contain? c) Use a for statement to initialize each element of the array to the sum of its subscripts. Assume that the integer variables \(i\) and \(j\) are declared as control variables. d) Write a program segment to print the values of each element of array table in tabular format with 3 rows and 3 columns. Assume that the array was initialized with the declaration int table[ arraySize ][ arraySize ] = { { 1, 8 }, { 2, 4, 6 }, { 5 } }; and the integer variables i and j are declared as control variables. Show the output.

(Double Array Initialization) Label the elements of a 3 -by- 5 two-dimensional array sales to indicate the order in which they're set to zero by the following program segment: for ( row = 0; row < 3; ++row ) for ( column = 0; column < 5; ++column ) sales[ row ][ column ] = 0;

(Bucket Sort) A bucket sort begins with a one-dimensional array of positive integers to be sorted and a two-dimensional array of integers with rows subscripted from 0 to 9 and columns subscripted from 0 to \(n-1\), where \(n\) is the number of values in the array to be sorted. Each row of the two- dimensional array is referred to as a bucket. Write a function bucketsort that takes an integer array and the array size as arguments and performs as follows: a) Place each value of the one-dimensional array into a row of the bucket array based on the value's ones digit. For example, 97 is placed in row 7,3 is placed in row 3 and 100 is placed in row \(0 .\) This is called a "distribution pass." b) Loop through the bucket array row by row, and copy the values back to the original array. This is called a "gathering pass." The new order of the preceding values in the onedimensional array is 100,3 and 97 c) Repeat this process for cach subsequent digit position (tens, hundreds, thousands, etc.). On the second pass, 100 is placed in row 0,3 is placed in row 0 (because 3 has no tens digit) and 97 is placed in row \(9 .\) After the gathering pass, the order of the values in the one-dimensional array is 100,3 and \(97 .\) On the third pass, 100 is placed in row 1,3 is placed in row zero and 97 is placed in row zero (after the 3). After the last gathering pass, the original array is now in sorted order. Note that the two-dimensional array of buckets is 10 times the size of the integer array being sorted. This sorting technique provides better performance than an insertion sort, but requires much more memory. The insertion sort requires space for only one additional element of data. This is an example of the space-time trade-off: The bucket sort uses more memory than the insertion sort, but performs better. This version of the bucket sort requires copying all the data back to the original array on each pass. Another possibility is to create a second two-dimensional bucket array and repeatedly swap the data between the two bucket arrays.

(Duplicate Elimination) Use a one-dimensional array to solve the following problem. Read in 20 numbers, each of which is between 10 and 100 , inclusive. As each number is read, validate it and store it in the array only if it isn't a duplicate of a number already read. After reading all the values, display only the unique values that the user entered. Provide for the "worst case" in which all 20 numbers are different. Use the smallest possible array to solve this problem.

( The Sieve of Eratosthenes) A prime integer is any integer that is evenly divisible only by itself and 1\. The Sieve of Eratosthenes is a method of finding prime numbers. It operates as follows: a) Create an array with all elements initialized to 1 (true). Array elements with prime subscripts will remain \(1 .\) All other array elements will eventually be set to zero. You'll ignore elements 0 and 1 in this exercise. b) Starting with array subscript 2 , every time an array element is found whose value is 1 loop through the remainder of the array and set to zero every element whose subscript is a multiple of the subscript for the clement with value 1 . For array subscript \(2,\) all elements beyond 2 in the array that are multiples of 2 will be set to zero (subscripts 4,6 \(8,10, \text { etc. }) ;\) for array subscript \(3,\) all elements beyond 3 in the array that are multiples of 3 will be set to zero (subscripts \(6,9,12,15,\) etc.); and so on. When this process is complete, the array elements that are still set to one indicate that the subscript is a prime number. These subscripts can then be printed. Write a program that uses an array of 1000 elements to determine and print the prime numbers between 2 and \(999 .\) Ignore element 0 of the array.

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