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### Multidimensional Arrays last element is one less than the total number of elements in the array.

A Question?

- Suppose you are asked to write a program to analyze scores given by six judges in a game. How would you tackle the problem?
- Ok, How you store the scores given by each judge?
- Well, you have two options:
- Option A : Declare six independent variables for each score
- Option B : Declare an Array

What is an Array?

It is simply a structure that allow us to group together data items of the same type.

Array: Formal Definition

An array allows us to group a number of values of the same type into one large unit.

Defining Arrays:

- An array definition specifies a variable type and a name. But it also includes another feature : Size
- Note: An array’s size declarator must be a constant integer expression with a value greater than zero. (Literal or Named Constant )

Syntax:

type name [size];

Examples:

Array Declarations:

constint POPULATION_SIZE = 210;

long population [POPULATION_SIZE];

float salaries [15];

char name [30];

Which of these array declaration are valid?

const int SIZE = 110;

intnum_people = 100;

int size;

1. char letters[26];

2. double atomic_weights[SIZE];

3. float heights[num_people];

4. float areas[34.4];

5. char name [size];

Accessing array Elements:

- The individual elements of an array are assigned unique subscripts. These subscripts are used to access the elements.
- Example: double scores [6];

Note: No bound checking in C++

- Subscripts numbering always starts at zero. The subscript of the last element is one less than the total number of elements in the array.
Example: int scores [6];

4

3

0

1

5

2

scores

Subscript numbering starts at zero. The subscript of the last element is one less than the total number of elements in the array.

Accessing the ElementsTo access an element of the array, you use

array_name[subscript]

double scores[4]; //an array to hold 4 scores

cout<<”Enter the scores of the four Judges: “;

cin>>>>scores[0]>>scores[1]>>scores[2]>>scores[3];

cout<<”Score of Judges:”

<<”\n Judge 1 gave “<<scores[0];

<<”\n Judge 2 gave “<<scores[1];

<<”\n Judge 3 gave “<<scores[2];

<<”\n Judge 4 gave “<<scores[3];

Exercise: last element is one less than the total number of elements in the array.

1. Write an array declaration statement that stores the score of a student. The student takes 4 courses in the current semester.

Ans: double scores [4];

2. Set the score of the first element of the array you declared above to 90.4 and the last element to 50.6

Ans: scores [0] = 90.4;

scores [3] = 50.6;

Note last element is one less than the total number of elements in the array.

It is not possible to assign one array to another or use an array in an expression hoping to affect all its elements.

Arrays and last element is one less than the total number of elements in the array.for loops

- Arrays and for loops always go hand in hand.

Using for loops to access array elements last element is one less than the total number of elements in the array.

constintNUM_JUDGES = 6;

double scores[NUM_JUDGES];

double average = 0;

double totalScore = 0;

cout<<”Enter the “<<NUM_JUDES<<“scores “;

for (int i=0; i< NUM_JUDGES; ++i)

cin>>scores[i];

cout<<”Average Score”;

for (int j=0; j< NUM_JUDGES; ++j)

totalScore +=scores[i];

average = totalScore/NUM_JUDGES;

Initializing Arrays last element is one less than the total number of elements in the array.

- Arrays may be initialized when they are defined.
Syntax:

type array_name[size] = initializer_list;

Initializing Arrays last element is one less than the total number of elements in the array.

Example:

intage[4] = {25, 12, 15, 27};

/* 25 is stored in age[0],

12 is stored in age[1],

15 is stored in age[2],

27 is stored in age[3] */

Initializing Arrays, contd... last element is one less than the total number of elements in the array.

- C++ allows us to define an array without specifying its size, as long as we provide an initialization list.
- Example
double factors[] = {1.0, 1.5, 2.0, 2.5};

More Examples last element is one less than the total number of elements in the array.

int age[4] = {25, 12};

//age[0] = 25,

age[1]=12,

age[2]=0,

age[3]=0

char name[] = {'B', 'i', 'r', 'u', 'k'};

double factors[4] = {1.0, 1.5, 2.0, 2.5, 3.0}; //Error!

Initializing Arrays last element is one less than the total number of elements in the array.

- Syntax
type array_name[size] = initializer_list;

- The initializer list contains a set of comma separated values within a pair of curly braces.
- Example
int age[4] = {25, 12, 15, 27};

/* 25 is stored in age[0], 12 is stored in age[1], 15 is stored in age[2], 27 is stored in age[3] */

Initializing Arrays, contd... last element is one less than the total number of elements in the array.

- C++ allows us to define an array without specifying its size, as long as we provide an initialization list.
- Example
double factors[] = {1.0, 1.5, 2.0, 2.5};

More Examples last element is one less than the total number of elements in the array.

int age[4] = {25, 12};

//age[0] = 25, age[1]=12, age[2]=0, age[3]=0

char name[] = {'B', 'i', 'r', 'u', 'k'};

double factors[4] = {1.0, 1.5, 2.0, 2.5, 3.0}; //ERROR!

YaredSemu

Dec 23, 2011

Modified : May 2012

Summary: Arrays -101 last element is one less than the total number of elements in the array.

- An Array is a structure that group a number of items into a larger unit.
- Declaration of arrays in C++ have the form:

The size must be a constant of one of the integer types.

Once defined, the size is fixed.

Syntax:

type name [size];

Accessing array Elements: last element is one less than the total number of elements in the array.

- The individual elements of an array are assigned unique subscripts. These subscripts are used to access the elements.
- Example: int scores [6];

4

3

0

1

5

2

scores

Initializing Arrays last element is one less than the total number of elements in the array.

- Arrays may be initialized when they are defined. We can give value to each element when defining the array.
Syntax:

type array_name[size] = initializer_list;

Arrays as Function Arguments last element is one less than the total number of elements in the array.

- Functions can be written to process the data in arrays. Usually, such functions accept an array as an argument.
- Functions can be written:
1. To put values in an array.

2. Display an array’s contents on the screen

3. Total all of an array’s elements

4. Calculate their average… etc.

Array elements as arguments: last element is one less than the total number of elements in the array.

- When a single element of an array is passed to a function, it is handled like any other variable.

void print(intnum)

{

//Just display the argument

cout<<num<<endl;

}

int main()

{

intmyArray[]={1, 2, 3, 4};

print(myArray[3]);

return 0;

}

Array as an argument last element is one less than the total number of elements in the array.

- If our printing function were written to accept the entire array as an argument, it would be set up as follows:

void print (int []);

void print(int num[], int N) {

for (int i=0;i<N;++i)

cout<<num[i]<<endl;

}

intmain() {

intmyArray[]={1, 2, 3, 4};

print(myArray, 4);

return 0;

}

Exercise: Array Basics last element is one less than the total number of elements in the array.

Develop a program that finds the maximum and minimum values of an integer array. The values are to be entered by the user. (Assume five elements are to be stored in the array)

Note:

- You should use Functions to:
- Fill in the array elements from the user
- Find the minimum value in the array
- Find the maximum value in the array

A Question? last element is one less than the total number of elements in the array.

- Lets say your are to design a grade-averaging program. The program takes the scores of 10 students and computes the averages of their scores. Students take 4 courses in the current semester.
- How you go about solving the problem?
Option A : declare about 40 independent Variables (Boooo!)

Option B : declare 10 arrays of size 4 for each student (Ok!)

Option C: Better Option (Multidimensional Arrays!!)

Multidimensional Arrays last element is one less than the total number of elements in the array.

- So far, we have seen one dimensional arrays.
- We can also have arrays to store N dimensions of information. => Multidimensional arrays
- Examples of multidimensional data:
- Matrices
- Grade reports of students
- Yearly weather reports (temperature) summarized by month and day.

Defining Two Dimensional Arrays last element is one less than the total number of elements in the array.

- Syntax:
Example: double scores [3][4];

- It is best to think of a 2D array as a table with rows and columns of elements.

- type name [size for dim 1][size for dim 2];

Two Dimensional Arrays last element is one less than the total number of elements in the array.

- A two dimensional array is like several identical arrays put together..

2D Arrays last element is one less than the total number of elements in the array.

- To access an element of the array, we use two subscripts – one for the column and one for the row.
- Example:
score[1][2] = 12.0;

cout<<score[2][3]<<endl;

12.0

Case Study: Grade Averaging Program last element is one less than the total number of elements in the array.

First Step: Read the scores

Second Step: Calculate the average scores last element is one less than the total number of elements in the array.

Finally : Show Time last element is one less than the total number of elements in the array.!!

Initializing 2D Arrays last element is one less than the total number of elements in the array.

- You can consider a 2D array to be an array of arrays.
- The initialization statement uses an initializer list where each element is by itself an initializer list for a single row.
float scores[2][3] = {{1, 2, 3}, {4, 5, 6}};

Assignment: last element is one less than the total number of elements in the array.Due Date : May25, 2012

- Write a program that accepts a 2D integer array from the user and
- Sums all the elements
- Stores the sum of each row in a 1D integer array
- Stores the sum of each column in a 1D integer array

Course Project: last element is one less than the total number of elements in the array. You will demonstrate the program 3days after your last final exam.

Develop a program the performs the following matrix operations.

- Addition
- Multiplication
- Finding the Inverse
- Finding the Determinant

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