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program wont go past the switch

justxstock (9)
the program compiles fines the menu shows up but once i make a selection it does not switch to the program please help ..... also how do i make it return to the menu after im done with choosen function

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 #include <iostream>
#include <string>

using namespace std;

int hw1(); 
void hw2(string word);
void hw3(string word);
void hw4(string word);
void hw5(string word);
void hw6(string word); 
void hw7(string word);
void closed(string word);

int number1; 
 int number2; 
 int number3; 
 int smallest;
 int largest; 
 int sum;

double average; 
 int product;
 int choice;


int main() 
{
		choice; 
	
	
	cout	 << " Welcome to my final C++ program \n " 
			 << " Please choose from the following selections \n\n"


			 <<" 1: Homework 1.\n "
    		 <<" 2: Homework 2.\n "
    		 <<" 3: Homework 3.\n "
			 <<" 4: Homework 4.\n "
    		 <<" 5: Homework 5.\n "
			 <<" 6: Homework 6.\n "
			 <<" 7: Homework 7.\n "
			 <<" 8: Exit.\n\n " ;
	
					  cin >> choice;
		

					
		switch (choice)
		{
	
		case 1:
        cout << "you have selected \n";
        hw1() ; 
        break;
		


     default: cout << "Your selection must be between 1-8 \n";
		
		}
}
	 int hw1()
	
	 {

		 cout << "Input three different Numbers: "; 
			cin >> number1 >> number2 >> number3;
			largest = number1; 

		if (number2 >= largest)
			largest = number2;
 
		if (number3 >= largest) 
			largest = number3; smallest = number1;

		if (number2 < smallest)
			smallest = number2;

		if (number3 < smallest)
			smallest = number3;
 
		cout << "The answers are...\n" 

			 << "Largest Value:" << largest << std::endl

			 << "Smallest Value:" << smallest << std::endl

  			 << "Sum: " << (sum = (number1 + number2 + number3)) << std::endl

			 << "Average: " << (average = (number1+number2+number3)/3.0f) << std::endl

			 << "Product: " << (product = (number1*number2*number3)) << std::endl;

		system("pause");
		return 0;
	}
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