print("Please choose a number between 1 and 1000.")
lower = 1
upper = 1000
questions = 1
number = int((lower + upper)/2)
win = False

while questions < 10 and win!= True:
    user_answer = raw_input("Is your number equal to, greater than, or less than " +str(number) +"?" +"Please answer with 'greater', 'less', or'equal'.")
    if(user_answer == "greater"):
        lower = number
        number = int((lower + upper)/2)
    elif(user_answer == "less"):
        upper = number
        number = int((lower + upper)/2)
    elif(user_answer == "equal"):
        win = True
        print("The number you chose is: " +str(number) +".")
    else:
        print("Please enter appropriate input. (Answer with 'greater', 'less', or 'equal')")
        questions -= 1

    questions += 1

if(win == False):
    user_answer = raw_input("This is the final question. Is your number " +str(number) +"?")
    if(user_answer == "yes" or user_answer == "Yes" or user_answer =="YES"):
        win = True
        print("The number you chose is: " +str(number) +".")
        questions += 1
        print(".")
    elif(user_answer == "no" or user_answer == "No" or user_answer =="NO"):
        print("You are a liar.")
    else:
        print("You gave the wrong input. We cannot guess your number...")