Suppose set S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and we define the following relation on S:

x ~ y iff x mod 4 = y mod 4

This relation is an equivalence relation because it is the kernel relation of the function f(x) = x mod 4. Fill in the equivalence class of 0, denoted by [0].

[0] = ???

[1] = {1, 5, 9}

[2] = ???

[3] = ???