The problem is to fill in the blanks in the given flowchart to create a program that counts the number of even numbers entered by the user. The program initializes a counter `count` to $A$ and `evenCount` to 0. It iterates as long as `count` is less than or equal to $B$. In each iteration, the user enters a number $n$. If $n$ is even, `evenCount` is incremented. The value of `count` is updated in each iteration. Finally, the program displays the value of `evenCount`.

1. Problem Description

The problem is to fill in the blanks in the given flowchart to create a program that counts the number of even numbers entered by the user. The program initializes a counter `count` to $A$ and `evenCount` to

0. It iterates as long as `count` is less than or equal to $B$. In each iteration, the user enters a number $n$. If $n$ is even, `evenCount` is incremented. The value of `count` is updated in each iteration. Finally, the program displays the value of `evenCount`.

2. Solution Steps

Let's analyze the flowchart step by step.

* The program starts by initializing `count = A` and `evenCount = 0`.

* The program enters a loop that continues as long as `count <= B`.

* Inside the loop, the user inputs a number $n$.

* The program checks if $n/2$ has a remainder of 0, which is equivalent to checking if $n$ is even.

* If $n$ is even, `evenCount` needs to be incremented.

* After processing the number, `count` needs to be incremented to proceed to the next number.

Based on this analysis, we can fill in the blanks:

* A: We can choose to start at

1. So $A = 1$.

* B: Let's assume we want to read 10 numbers. So $B = 10$.

* C: The path from "Balance of n/2 = 0?" to the box E happens if "Balance of n/2 = 0?" is true, that is, if the input number $n$ is even.

* E: This box contains the increment of the `evenCount` variable. So `evenCount = evenCount + 1` or `evenCount++`.

* D: This path happens if "Balance of n/2 = 0?" is false, that is, if the input number $n$ is odd.

* F: In each iteration, we need to increment the value of the `count` variable. Thus, `count = count + 1` or `count++`.

* I: The arrow label is "yes," indicating the direction to follow when the input number $n$ is even.

3. Final Answer

A = 1

B = 10

C = yes

E = evenCount = evenCount + 1

D = no

F = count = count + 1

I = yes