## Rule of Hangman

You play this game with a man called Hangman. The job of hangman is to kill you. Hangman is fair and have some rules. He is abided by these rules.

• Hangman writes down a secret word. Let the word is W and its length is n.
• He asks you to guess a letter of W. Whenever you guess a letter which is in W, hangman shows you that part of the word. For instance, if the word was `cat` and you guessed āaā then hangman shows you `_a_`. At first correct guess, you get to know the size of the word and the position of your guess. If the word contains your guessed letter more than one time then hangman also shows them. For example, if the word was `tweedledee` and you guessed āeā then hangman shows you `__ee__e_ee`.
• You have minimum of n guesses. Every time you guess right, your get one more guess to make i.e. for each correct guess, total number of guess you can make in future are same.
• If you can not guess the correct word in given guesses, hangman kills you.

## Functions we need

Obviously, it requires input-output to system. When hangman inputs the word, you should not see. For this purpose, we have to disable echo at `stdin`.