Permuted Binary Strings

There is a hidden permutation a_1, a_2,\dots, a_n of integers 1, 2,\dots, n. Your task is to find this permutation. To do this, you can ask questions: you can choose a binary string b_1b_2\dots b_n and you will receive the binary string b_{a_1}b_{a_2}\dots b_{a_n}. Interaction This is an interactive problem. Your code will interact with the grader using standard input and output. You should sta