Exercise 5 The towers of Hanoi problem consists of three pegs A, B, and C, and n squares of varying sizes. Initially the squares are stacked on peg A in order of decreasing size, the largest square on the bottom. The problem is to move the squares from peg A to peg B one at a time in such a way that no square is ever placed on a smaller square. Peg C may be used for temporary storage of squares. A. Write a recursive algorithm to solve this problem. Answer here:

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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value of the optimal solution is also givenį.
0sj<C=13
6 7
000000 0 0000o 00 0
0 12
8 9 10 11
3
4.
12
13
V=10, S=2 1 0 0 10 10 10 10 10 10 10 10 10 10
V;=5, S=3 2 0 0 10 10 10 15 15 15 15 15 15 15
10
10
15
15
V3=15, S3=5 300 10 10 10 15 15 25 25 25 30 30 30
4 00 10 10 10 15 15 25 25 25 30 30 30 30
30
0 <is7
V4=7, S4=7
Vs=6, Ss=1
5 0 6 10 16 16 16 21 25 31
31
31
36 36 36
V6-18, S6=4 6
0 6 10
16
18 | 24 28
34 34
34
39 43 49 49
V=3, S=1
706 10
16 18
24 28 34 37 37
39
43 49 52
Transcribed Image Text:value of the optimal solution is also givenį. 0sj<C=13 6 7 000000 0 0000o 00 0 0 12 8 9 10 11 3 4. 12 13 V=10, S=2 1 0 0 10 10 10 10 10 10 10 10 10 10 V;=5, S=3 2 0 0 10 10 10 15 15 15 15 15 15 15 10 10 15 15 V3=15, S3=5 300 10 10 10 15 15 25 25 25 30 30 30 4 00 10 10 10 15 15 25 25 25 30 30 30 30 30 0 <is7 V4=7, S4=7 Vs=6, Ss=1 5 0 6 10 16 16 16 21 25 31 31 31 36 36 36 V6-18, S6=4 6 0 6 10 16 18 | 24 28 34 34 34 39 43 49 49 V=3, S=1 706 10 16 18 24 28 34 37 37 39 43 49 52
Exercise 5
The towers of Hanoi problem consists of three pegs A, B, and C, and n squares of varying sizes.
Initially the squares are stacked on peg A in order of decreasing size, the largest square on the
bottom. The problem is to move the squares from peg A to peg B one at a time in such a way that
no square is ever placed on a smaller square. Peg C may be used for temporary storage of
squares.
A. Write a recursive algorithm to solve this problem.
Answer here:
B. Write a recurrence relation of the number of moves M(n) and solve it.
Answer here:
Transcribed Image Text:Exercise 5 The towers of Hanoi problem consists of three pegs A, B, and C, and n squares of varying sizes. Initially the squares are stacked on peg A in order of decreasing size, the largest square on the bottom. The problem is to move the squares from peg A to peg B one at a time in such a way that no square is ever placed on a smaller square. Peg C may be used for temporary storage of squares. A. Write a recursive algorithm to solve this problem. Answer here: B. Write a recurrence relation of the number of moves M(n) and solve it. Answer here:
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