Ruritania develops a cyber warfare unit, the RCW, which employs cryptanalysts tasked with gaining access to the email account of the president of an enemy state, Oceania. A spearphishing attack yields the login credentials of a junior system administrator for Oceania's government information systems, and this in turn results in the RCW learning the president's username and the complementary information for their password. The complementary information takes the form of a checksum formed by applying a cryptographic hash function to the president's password. An offline dictionary attack on the president's complementary information fails, so the RCW resorts to a brute-force attempt to generate the president's password. The RCW: Knows the cryptographic hash function used to calculate the checksum; Knows that passwords in Ociania's systems are case sensitive, comprised of a mix of upper and lower-case letters (a..z and A..Z) and are 8 characters long; Allocates a massively parallel computing cluster to the task. This consists of 1000 processors. Each is capable of generating a candidate password, applying the cryptographic hash function and comparing the resulting checksum to the president's password checksum every 10 milliseconds. i. To two decimal places, what is the probability of the RCW generating the president's password within twelve months? Use Anderson's formula and show your working