Red-Black Trees (Left Leaning) (3 points total) 75 Figure 4: Red-Black Tree Red-Black trees rely primarily on 3 operations: rotateLeft, rotateRight, and flipColors. Which of the 3 primary operations are activated after the following key insertions into Fig. 47 (Select one or more of the 3 operations noted above.) (a) (1 point) After inserting the key 15 into Fig. 4, which operation(s) is (are) needed to restore balance? (b) (1 point) After inserting the key 45 into Fig. 4, which operation(s) is(are) needed to restore balance? (c) (1 point) After inserting the key 60 intoFig. 4, which operation(s) is (are) needed to restore balance?