In class we considered a toy RC4 in which bytes are replace by pairs of bits, with values 0, 1, 2, 3. We used the key k=2, so that the initial state of T was: [2,2,2,2]. In this question you are asked to first show that if we take k=1032 (so that T=[0,0,3,2]), then the initial permutation S of the toy RC4 is left unchanged, i. e. S=[0,1,2,3]). In general, by extrapolation, what RC4 key value will leave S unchanged during initialization? That is, after the initial permutation of S, the entries of S will be equal to the values from 0 through 255 in ascending order.