**In this post we are discussing about Explain with example how the count variable is introduced in the program to find the number of steps required by a program to solve the problems**

we introduce a new variable ** count **to the program which is initialized to zero. We also introduce statements to increment

**by an appropriate amount into the program. So when each time original program executes, the**

*count***also incremented by the step count.**

*count*Consider the algorithm ** sum( )**. After the introduction of the count the program will be as follows.

```
float Sum (float a [J , int n)
{
float s = 0.0;
count++; // count is global
for (int i=l; i<=n ; i++) {
count++; // For 'for'
s += a[i] ;
count++; // For assignment
}
count++; // For last time of C for'
count++; // For the return
return s;
}
```

From the above we can estimate that invocation of ** sum( ) **executes total number of

**2n+3**steps.

how the `count`

variable is used in the program:

`float Sum(float a[], int n)`

is a function that takes an array`a`

and an integer`n`

as its parameters and returns a float. Its purpose is to calculate the sum of elements in the array.- Inside the function, a local variable
`s`

of type float is declared and initialized to 0.0. This initialization doesn’t count as a step, so it’s not incremented in`count`

. `count++`

is used immediately after the declaration of`s`

. This is done to increment the`count`

variable to account for the operation of initializing`s`

. This is a common practice when analyzing the time complexity of algorithms to count basic operations.- Next, there is a
`for`

loop that iterates from`i`

equals 1 to`n`

, inclusive. a.`count++`

is incremented at the beginning of the`for`

loop to count the operation of entering the loop. b. Inside the loop, there’s an addition operation`s += a[i]`

, which calculates the sum of the elements in the array.`count++`

is incremented to count this addition operation. c. After the addition operation,`count++`

is again incremented to count the assignment operation associated with updating the value of`s`

. - After the
`for`

loop, there is one more`count++`

operation to account for the operation that occurs after the loop exits. - Finally, there is one more
`count++`

operation to account for the`return s`

statement at the end of the function.