Write a program to guess a number from 0 to 999, to the following specifications.

Tell the user to think of a number from 0 to 999. Note that the computer is guessing the number, the user just thinking of one.

Always start with a lower bound of 0 and an upper bound of 999.

As long as the user inputs a string starting with 'l' or 'm'

The next guess is always the average of the upper bound and the lower bound, so the first guess is always 499.

Prompt the user in the following format (changing 499 to another guess each time) and then input a string.

Is it 499? (Enter y if it is, l if your number is less, or m if your number is more.) 

As long as the user does not enter 'y', 'l' or 'm', prompt them with Enter y, lowercase L, or m only! Try again: and input another string.

If the user inputs a string starting with 'l' (or 'L'), change the upper bound.

If the user inputs a string starting with 'm' (or 'M'), change the lower bound.

The next guess is the average of the upper bound and the lower bound.

Keep count of the number of guesses.

Report the number of guesses made and the correct guess.

Sample run (user input in red):

Think of a number from 0 to 999. Is it 499? (Enter y if it is, l if your number is less, or m if your number is more.) n Enter y, lowercase L, or m only! Try again: l Is it 249? (Enter y if it is, l if your number is less, or m if your number is more.) m Is it 374? (Enter y if it is, l if your number is less, or m if your number is more.) l Is it 311? (Enter y if it is, l if your number is less, or m if your number is more.) y I guessed your number, 311 in 4 guesses.