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## Why Use Two-Dimensional Arrays?

While one-dimensional arrays allow data to be placed in an array one row at a time, two-dimensional arrays are capable of storing data in both rows and columns. To accomplish this, each row in a two-dimensional array is associated with the number of columns defined for the array. As with one-dimensional arrays, the entire array must contain elements of the same type. The type is defined when you declare the array. Because of the capability of storing data in rows and columns, it is obvious that two-dimensional arrays can provide more flexibility than one-dimensional arrays.

## Declaration and Initialization

Declaring a two-dimensional array has the following form:

```type arr-name[NUM_ROWS][NUM_COLS];
```

where type is the data type for the array, arr-name is the variable name for the array, NUM_ROWS is the maximum number of rows for the array, and NUM_COLS is the maximum number of columns for the array. To declare an integer array of five rows and three columns, the following code could be used:

```int arr[5][3];
```

Initializing two-dimensional arrays can be accomplished using the following format:

```int arr[5][3] =
{
{ 0, 1, 2 },
{ 3, 4, 5 },
{ 6, 7, 8 },
{ 9, 0, 1 },
{ 2, 3, 4 }
};
```

The above code initializes:

• arr[0][0] = 0
• arr[0][1] = 1
• arr[1][0] = 3
• arr[1][1] = 4
• arr[4][0] = 2
• ,…

Processing 2D Arrays

Because 2D arrays must be filled by row and column, processing a 2D array can be done using nested for loops. For instance, to fill an array declared numArr[10][10] with user input, the following nested loop scheme could be used:

```for (int rows = 0; rows < 10; row++)
for (int cols = 0; cols < 10; cols++)
{
cout << "Enter value for row "
<< row+1 << " col "
<< col+1 << ": ";

cin >> numArr[row][col];
}
```

To display the contents of the above filled array ten values per line, the following code could be used:

```int row, col;

for (row = 0; row < 10; row++)
{
for (col = 0; col < 10; col++)
cout << numArr[row][col];

cout << endl;
}
```

For an example of these concepts, study the following complete program:

View Example Program

The following is another example similar to the one above. It adds a tiny twist:

View Example Program

## Two-Dimensional Array Examples

A common use of two dimensional arrays is for storing a collection of strings. When storing strings in a two dimensional array, the rows in the array are associated with the position of the full string value, and the columns in the array are the individual characters of the string for that particular row. For instance, if the string “c++” is stored in row 0 of stringArr, then stringArr[0][0] holds ‘c’, stringArr[0][1] holds ‘+’, and stringArr[0][2] holds ‘+’.

The following illustrates how three short strings are stored in a two dimensional array having a size of three rows and six columns:

From above, notice:

• row 0 contains the string “c++”
• row 1 contains the string “prog”
• row 2 contains the string “win”
• is a null terminator (denoting the end of the string)
• denotes a garbage value when the string is not large enough to fill the entire array row

It is important to remember that there must be space in the array for the null () terminator. As an example, assume we have a two dimensional array declared as follows:

```char stuNames[5][26];
```

This array holds five strings with a maximum of twenty-five characters per string. The array is declared as having twenty-six maximum columns to account for the null terminator ‘\0′ that is attached to the end of a string. Suppose we want to fill our example array with values specified by the user during program execution and also display the contents of the array in a semi-neat fashion. The following complete program example solves this problem:

View Example Program

Two Dimensional Array Example 1:

Suppose we have a two dimensional integer array of exactly ten rows and ten columns, and we need to find the sum of the integers along the main diagonal of the array. We could use the following code segment:

```const int MAXARRSIZE = 10;
int arr[MAXARRSIZE][MAXARRSIZE];
.
.
arr gets values
.
.
int sum = 0, row, col;

for (row = 0; row < MAXARRSIZE; row++)
{
for (col = 0; col < MAXARRSIZE; col++)
{
if (row == col)
{
sum += arr[row][col];
}
}
}

cout << "The sum of the values along the main diagonal is: "
<< sum << endl;
```

Two Dimensional Array Example 2:

The following is something an individual may encounter on a C++ quiz:

Suppose the correct answers for a true/false quiz are: T T F F T
Suppose also that a two dimensional array contains student answers with each row representing the responses of a particular student.

The first row (0) of the array contains the above answer “key”.
Write code to calculate the students’ scores on the quiz and store these computed scores in a one-dimensional array. Assume each question is worth 4 points and there is a maximum of 50 students.

The following code could be used to accomplish this task:

```const int NUMOFSTUS = 51;
const int NUMOFQUIZZES = 5;
const int ANSWERINDEX = 0;

char quizAnswers[NUMOFSTUS][NUMOFQUIZZES];
int gradeArray[NUMOFSTUS]; // row 0 will be unused
int stuIndex, probIndex, grade;

.
.
. quizAnswers gets values
.
.
quizAnswers[0][0] = ‘T’;
quizAnswers[0][1] = ‘T’;
quizAnswers[0][2] = ‘F’;
quizAnswers[0][3] = ‘F’;
quizAnswers[0][4] = ‘T’;

for (stuIndex = 1; stuIndex < NUMOFSTUS; stuIndex++)
{
grade = 0;
for (probIndex = 0; probIndex < NUMOFQUIZZES; probIndex++)
{
if (quizAnswers[stuIndex][probIndex]
== quizAnswers[ANSWERINDEX][probIndex])
{
grade += 4;
}
}

gradeArray[stuIndex] = grade;
}
```

To finish this article, study the following complete program. It ties all basic concepts within this article together:

View Example Program

In the next article, we’ll explore arrays with higher dimensions (i.e., arrays having more dimensions than one or two). Read on for more…

### { 3 } Comments

1. mercy suganob | June 9, 2009 at 11:50 pm | Permalink

how to solve this problem?
Write a program using two dimensional arrays that searches a number and display the number of times it occurs on the list of 12 input values.
sample input/output data:
enter twelve no. 1 1 2 3 4 5 6 1 8 9 5 8
enter a no. to search:1
occurence(s):3

2. mun | September 29, 2009 at 1:39 am | Permalink

i understand nothing…how can i understand like u..i give up

3. | November 9, 2011 at 8:33 am | Permalink

write a program for the summation of the elements of the first row of an two dimensional array.

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