ng program when xyz(3, 1, 2, 3) is called.

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
Problem 1PE
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### Consider the following program:

#### Algorithm recursive (int n)
```plaintext
IF n = 1 then
    return (1);
ELSE
    recursive(n/2);
    recursive(n/2);
    FOR i = 1 to n
        do something;
    ENDFOR
ENDIF
```
(a) What is the recurrence relation?

(b) Solve the recurrence relation from (a) in terms of n and show the O( ).

**Hint:** Look at merge sort, you should get the same solution.

### Consider the following program:

#### Procedure xyz(n, first, second, third)
```plaintext
if n <= 1 then
    print(n, first, second, third)
else
    xyz(n-1, second, first, third)
    print(n, first, second, third)
    xyz(n-1, third, second, first)
endif
```

Write the output of the following program when xyz(3, 1, 2, 3) is called.

**Hint:** similar with Tower of Hanoi.
Transcribed Image Text:### Consider the following program: #### Algorithm recursive (int n) ```plaintext IF n = 1 then return (1); ELSE recursive(n/2); recursive(n/2); FOR i = 1 to n do something; ENDFOR ENDIF ``` (a) What is the recurrence relation? (b) Solve the recurrence relation from (a) in terms of n and show the O( ). **Hint:** Look at merge sort, you should get the same solution. ### Consider the following program: #### Procedure xyz(n, first, second, third) ```plaintext if n <= 1 then print(n, first, second, third) else xyz(n-1, second, first, third) print(n, first, second, third) xyz(n-1, third, second, first) endif ``` Write the output of the following program when xyz(3, 1, 2, 3) is called. **Hint:** similar with Tower of Hanoi.
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