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Chapter 8: Problem 27

Using the following declaration: int茠[,]茠anArray茠=茠{{34,茠55,茠67,茠89,茠99}, {22, 68, 11, 19, 45}}; What would be the result of each of the following output statements? a. Console.WriteLine(anArray.Length); b. Console.WriteLine(anArray[1, 2]); c. Console.WriteLine(anArray[0, anArray.GetLength(0) - 2]); d. Console.WriteLine(anArray[0, 2茠+茠1]茠*茠anArray[0, 0]); e. Console.WriteLine(anArray.Rank);

Short Answer

Expert verified
a. 10; b. 11; c. 34; d. 3026; e. 2.

Step by step solution

01

Determine the Length of the Array

The array `anArray` is a 2-dimensional array with two rows and five columns. The `Length` property returns the total number of elements in an array. Since there are 2 rows and 5 columns, the total number of elements is \(2 \times 5 = 10\).
02

Access a Specific Element

We need to find the value at position `[1, 2]`. The first index `1` refers to the second row, and the second index `2` refers to the third element of that row. In the second row, the elements are `22, 68, 11, 19, 45`, so the element at position `[1, 2]` is `11`.
03

Dynamic Index Calculation

First, `anArray.GetLength(0)` returns the number of rows, which is `2`. Thus, `anArray.GetLength(0) - 2` equals `0`. Therefore, `anArray[0, 0]` refers to the first element in the first row, which is `34`.
04

Perform an Arithmetic Operation

The expression is `anArray[0, 2 + 1] * anArray[0, 0]`. First calculate `2 + 1 = 3`, so `anArray[0, 3]` refers to the fourth element in the first row, which is `89`. Then, multiply this value by `anArray[0, 0]`, which is `34`. The multiplication gives you \(89 \times 34 = 3026\).
05

Determine the Rank of the Array

The `Rank` of an array is the number of dimensions it has. Since `anArray` is declared as a two-dimensional array, its rank is `2`.

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Key Concepts

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

Understanding Array Length
The concept of `array length` in C# refers to the total number of elements that an array can hold. This is an important property because it helps us understand the size and capacity of the array. For example, consider a multidimensional array like `anArray` which is declared as a two-dimensional array with 2 rows and 5 columns.
The `Length` property in C# returns this total number of elements, so here's how you can think about it:
  • 2 rows with 5 elements each.
  • Total elements = 2 x 5 = 10.
To access the total number of elements, you use `anArray.Length`, which will yield the value `10` in this context. This property is useful for iterating over the entire array or when you need to allocate resources according to the size of your data.
Exploring Array Indexing
In the C# language, `array indexing` is used to access elements within arrays. For a two-dimensional array, two indices are necessary since there are rows and columns to consider.
To access a specific element, you must specify both the row and the column. Let's break it down:
  • The first index refers to the row number.
  • The second index refers to the column number within that row.
For instance, in `anArray[1, 2]`, the first index `1` refers to the second row, while the second index `2` refers to the third column in that row, yielding the element `11`. Indexing begins at `0`, so remember that `1` refers to the second item, `2` to the third, and so forth.
Deciphering the Array Rank
The `array rank` is a measure of the number of dimensions in an array in C#. Each dimension represents a separate indexing level. Knowing the rank of an array helps with understanding how many indices you need to access a specific element.
For instance, `anArray` is declared as a two-dimensional array (indicated by `[,]`), which means its rank is `2`. This reflects that there are two levels of indexing to access each element:
  • The first dimension is rows.
  • The second dimension is columns.
To find the rank of an array in C#, you use the `Rank` property, which will return `2` in this case. Recognizing array rank is crucial for effectively managing multidimensional data structures and ensuring proper element access.
Accessing Elements in Arrays
`Element access in arrays` requires understanding the structure of your array and the indices used to retrieve values. Accessing elements correctly involves precise calculations, especially when dynamic index operations are involved.
Consider these aspects:
  • Accurate indexing: Given `anArray[0, 0]`, we access the element at the first row, first column, which is `34`.
  • Dynamic calculation: Using expressions like `anArray[0, 2 + 1]` to reference the fourth element of the first row is possible through expression evaluation, yielding `89` in this scenario.
  • Arithmetic operations involving elements: An example calculation like `anArray[0, 3] * anArray[0, 0]` means multiplying `89` by `34`, resulting in `3026`.
Such element access techniques are crucial for performing calculations and manipulations on array data, enabling a wide range of programming tasks and data manipulations.

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Most popular questions from this chapter

When you pass the entire ArrayList to a method, the method receives: a. a copy of the ArrayList b. the address of the ArrayList c. a copy of the first value in the ArrayList d. the address of each of the elements in the ArrayList e. none of the above

Explain the difference between the .NET Hashtable and Dictionary classes.

Using the following declarations, write solutions for Steps a through e. int茠[茠,茠]茠cArray茠=茠new int茠[茠2,茠3]; string茠[茠,茠,茠]茠dArray茠=茠new string茠[茠5,茠2,茠6]; a. Write a foreach loop to display the contents of cArray. b. Write a for loop to increment each element in cArray by 5. c. Write a foreach loop to display the contents of dArray. d. Can you use a foreach loop to initialize all elements of dArray with zero? If so, show your code. If not, explain why. e. Write a for loop to initialize all elements in dArray to zero.

With the following declaration: int茠[茠,茠]茠points茠=茠 茠茠茠茠茠茠茠茠{{300,茠100,茠200,茠400,茠600}, 茠茠茠茠茠茠茠茠茠{550,茠700,茠900,茠200,茠100}}; The statement points [0, 4] = points [0, 4-2]; will a. replace the 400 amount with 2 b. replace the 300 and 600 with 2 c. replace the 600 with 200 d. result in an error e. none of the above

What value is returned by the method named result? int result(int [ , ] anArray) { int茠j茠=茠0, i = 0; for(int r = 0; r < anArray.GetLength(0); r++) for(int c = 0; c < anArray.GetLength(1); c++) if (anArray[r, c] < anArray[i, j]) { i = r; j = c; } return i; } a. the row index of the largest element of array anArray b. the value of the largest element of array anArray c. the row index of the smallest element of array anArray d. the column index of the smallest element of array anArray e. the index of the last element greater than its predecessor
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