Write pseudocode for the procedure CONSTRUCT OPTIMAL BST(root) which, given the table root, outputs the structure of an optimal binary search tree For the example in Figure 15 10, your procedure should print out the structure Figure 15 10 k 2 is the root k 1 is the left child of k 2 d 0 is the left child of k 1 d 1 is the right child of k 1 k 5 is the right child of k 2 k 4 is the left child of k 5 k 3 is the left child of k 4 d 2 is the left child of k 3 d 3 is the right child of k 3 d 4 is the right child of k 4 d 5 is the right child of k 5 corresponding to the optimal binary search tree shown in Figure 15 9(b) 5 1 5 1 j (2 75 i j (1 00 4 1 75 3 (1 25 1 20X1 30 4 0 70 i 2 00 3 (0 80 4 0 90 3 (0 55X0 50X0 60 0 35 2 4 0 90X0 70X0 60 0 45 0 25 (0 30 0 50 5 0 35 1 0 45X0 400 25 0 05 0 10 0 30 0 50 0 05 0 05 0 10 0 15 0 20 0 05 0 30 0 05 0 05 0 10 0 05 0 05 0 10 root 5 1 j 2 i 4 2 4 3 2 3 2 1 4 5 4 4 2 2 3 2 2 of

Question: Write pseudocode for the procedure CONSTRUCT-OPTIMAL-BST(root) which, given the table root, outputs the structure of an optimal binary search tree. For the example in Figure

Write pseudocode for the procedure CONSTRUCT-OPTIMAL-BST(root) which, given the table root, outputs the structure of an optimal binary search tree. For the example in Figure 15.10, your procedure should print out the structure

Figure 15.10

5. 1 5 1 j (2.75 i j (1.00 4

k₂ is the root

k₁ is the left child of?k²

d₀ is the left child of?k¹

d₁ is the right child of?k¹

k₅ is the right child of?k²

k₄ is the left child of?k⁵

k₃ is the left child of?k⁴

d₂ is the left child of?k³

d₃ is the right child of?k³

d₄ is the right child of?k⁴

d₅ is the right child of?k⁵

corresponding to the optimal binary search tree shown in Figure 15.9(b).

5. 1 5 1 j (2.75 i j (1.00 4

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