Eve has just discovered and decrypted the file that associates each user-id with its 32-bit random salt value, and she has also discovered and decrypted the password file, which contains the salted and hashed passwords for the 100 people in her building. If she has a dictionary of 500,000 words and she is confident all 100 people have passwords from this dictionary, what is the size of her search space for performing a dictionary attack on their passwords?