## Defining a input checker for integers
def input_checker(list1):
    '''
    input: list
    return: Boolean
    Function that takes in a list and returns whether the list consists of only integers
    '''


    ## Elements in the list
    for i in list1:
        try:
            number=int(i)

        ## Return False if value error
        except ValueError:
            return False

    return True

## The function to run the code
def Num_list():
    ## Initialising the loop
    input_loop=True

    while input_loop==True:

        ## User input
        input_usr = input("Enter the integers seperated by spaces. Press X to exit: ")

        ## Splitting the data by spaces
        input_usr = input_usr.split()

        ## Exit code
        if input_usr[0].upper()=="X":

            input_loop=False

        ## Running the required function
        else:

            ## Calling the input checker
            if input_checker(input_usr)==True:

                ## Printing the user input
                print(input_usr)
                new_list=[]

                ## Looping through the list
                for i in range(len(input_usr)):
                    for j in range(i+1,len(input_usr)):
                        ## Calculating the product and the sum of numbers in the list
                        prod=int(input_usr[i])*int(input_usr[j])
                        sum1=int(input_usr[i])+int(input_usr[j])

                        ## Appending the pairs in the list
                        if prod%2==0 and sum1%2==1:
                            new_list.append((input_usr[i],input_usr[j]))

                ## Exit the loop
                input_loop=False

                ## printing the required output
                print(new_list)
            else:
                print("Input is incorrect please try again")
                continue

## Running the function
if __name__ == '__main__':
    Num_list()