A memory mechanism updates its state after each token by maintaining a tuple of the cumulative average of all key vectors and all value vectors seen so far. Given the following sequence of 2-dimensional key (k) and value (v) vectors, calculate the final memory state Mem after processing the token at index i=2.

• i=0: k_0 = [2, 4], v_0 = [1, 0]
• i=1: k_1 = [6, 2], v_1 = [3, 2]
• i=2: k_2 = [1, 0], v_2 = [5, 1]

Express your answer as a tuple of two vectors, e.g., ([x1, y1], [x2, y2]).