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- 1. Input, print and numbers
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# Guess the number

## Statement

Augustus and Beatrice play the following game. Augustus thinks of a secret integer number from \( 1 \) to \( n \). Beatrice tries to guess the number by providing a set of integers. Augustus answers`YES`

if his secret number exists in the provided set, or `NO`

, if his number does not exist in the provided numbers. Then after a few questions Beatrice, totally confused, asks you to help her determine Augustus's secret number. Given the value of \( n \) in the first line, followed by the a sequence Beatrice's guesses, series of numbers seperated by spaces and Agustus's responses, or Beatrice's plea for `HELP`

. When Beatrice calls for help, provide a list of all the remaining possible secret numbers, in ascending order, separated by a space.

In all the problems input the data using `input()`

and print the result using `print()`

.