A Teddy Bear Picnic Game
Abstract
<h2>Cover Page</h2> <p><strong>A Teddy Bear Picnic Game</strong></p> <p>Name</p> <p>Institution</p> <p>Course</p> <p>Instructor</p> <p>Date</p> <h2>Visual Basic Program Implementation</h2> <pre>Public Function reachGoal(numBears As Integer) As Boolean Dim half, lastTwoDigits, minusFortyTwo As Integer If numBears = 42 Then Return True ElseIf numBears < 42 Then Return False ElseIf (numBears Mod 2 = 0) Or (numBears Mod 3 = 0) Or (numBears Mod 4 = 0) Or (numBears Mod 5 = 0) Then If (numBears Mod 2 = 0) Then half = reachGoal(numBears / 2) End If If (numBears Mod 3 = 0) Or (numBears Mod 4 = 0) Then Dim gb As Integer gb = (numBears Mod 10) * ((numBears Mod 100) / 10) If gb <= 0 Then Return False lastTwoDigits = reachGoal(numBears - gb) End If If (numBears Mod 5 = 0) Then minusFortyTwo = reachGoal(numBears - 42) End If If (half Or lastTwoDigits Or minusFortyTwo) Then Return True Else Return False End If Else Return False End If End Function Private Sub Button1_Click(sender As Object, e As EventArgs) Handles Button1.Click Dim numBears As Integer numBears = TextBox1.Text If reachGoal(numBears) Then MsgBox("Your goal is reached!") Else MsgBox("Your goal cannot be reached!") End If End Sub </pre> <h2>Program Logic and Recursive Algorithm</h2> <p>The program uses a recursive function named <strong>reachGoal</strong> to determine whether the player can successfully reach exactly 42 teddy bears. The function first evaluates the base cases. If the number of bears equals 42, the function immediately returns <strong>True</strong>, indicating that the objective has been achieved. If the number of bears falls below 42, the function returns <strong>False</strong> because no further valid moves can produce the target value.</p> <p>When the number of bears exceeds 42, the function evaluates every legal move according to the game rules. If the number is even, the recursive function attempts to reach the goal after dividing the number of bears by two. If the number is divisible by three or four, the product of the last two digits is calculated and subtracted from the current number before another recursive call is performed. If the number is divisible by five, forty-two bears are subtracted before continuing the recursive search.</p> <p>Each recursive branch returns either <strong>True</strong> or <strong>False</strong>. If any branch successfully reaches exactly 42 bears, the function immediately returns <strong>True</strong>. Otherwise, after all possible moves have been evaluated, the function returns <strong>False</strong>.</p> <h2>User Interface Operation</h2> <p>The graphical user interface allows the player to enter the initial number of teddy bears into a text box. When the button is clicked, the program invokes the <strong>reachGoal</strong> function using the supplied value. A message box then informs the user whether the target of 42 bears can be reached by following the permitted game rules. This design combines recursive problem-solving with a simple event-driven interface to create an interactive solution to the Teddy Bear Picnic Game.</p>