def generate_unique_substrings(n):
    def generate_substrings(n, prefix=""):
        if n == 0:
            unique_substrings.add(prefix)
        else:
            for bit in "01":
                if prefix[-n:] + bit not in unique_substrings:
                    generate_substrings(n - 1, prefix + bit)

    unique_substrings = set()
    generate_substrings(n)
    binary_string = "1" * n  # Start with a string of '1's of length n
    for i in range(2 ** n - 1):
        binary_string += "0" * (n - len(bin(i)[2:])) + bin(i)[2:]
    return binary_string

n = 10  # Change this value to generate unique substrings of different lengths
binary_string = generate_unique_substrings(n)
print("Binary string with unique substrings of length", n, ":", binary_string)