Mark is administering an online exam consisting of n true-false questions. However, he has lost all answer keys. He needs a way to retrieve the answers before his client gets infuriated. Fortunately, he has access to the grading system. Thus, for each query, you can input the answers to all n questions, and the grading system will output how many of them are correct. He doesn't have much time, so he can use the grading system at most 675 times. Help Mark determine the answer keys. Note that answer keys are fixed in advance and will not change depending on your queries. The first line of the input consists of an integer n ( 1 <= q n <= q 1000 ) -- the number of questions. After reading n , you can start making queries to the grading system. For each query, print a line containing a string s of length n consisting of only letters 'T' and 'F'. After a successful query, you should read an integer k ( 0 <= q k <= q n ) -- the number of correct answers. If you read n , then you found the answers, and your program should not make any more queries. If your program reads k = -1 instead of the number of correct answers, it means that you either made an invalid query or exceeded the query limits. Exit immediately after receiving -1 , and you will see Wrong answer verdict. Otherwise, you can get an arbitrary verdict because your solution will continue to read from a closed stream. After printing a query do not forget to output end of line and flush the output. Otherwise, you will get Idleness limit exceeded. To do this, use: Hacks To hack, use the following format: The first line contains an integer n ( 1 <= q n <= q 1000 ) -- the number of questions. The second line contains a string s of length n consisting of only 'T' and 'F' -- the answer key. The empty lines in the example are just for you to better understand the interaction process. You're not required to print them. In