Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)
11th Edition
ISBN: 9781305494602
Author: Scott Tilley, Harry J. Rosenblatt
Publisher: Cengage Learning
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Chapter 8, Problem 9Q
Provide suggestions for reducing input volume.
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Explian this C program code.
#include <stdio.h>
void binary(unsigned int n) {
if (n /2!=0) {
binary(n /2);
}
printf("%d", n %2);
}
int main() {
unsignedint number =33777;
unsignedchar character ='X';
printf("Number: %u\n", number);
printf("Binary: ");
binary(number);
printf("\nDecimal: %u\nHexadecimal: 0x%X\n\n", number, number);
printf("Character: %c\n", character);
printf("ASCII Binary: ");
binary(character);
printf("\nASCII Decimal: %u\nASCII Hexadecimal: 0x%X\n", character, character);
return0;
}
Design a dynamic programming algorithm for the Longest Alternating Subsequence problem
described below:
Input: A sequence of n integers
Output: The length of the longest subsequence where the numbers alternate between being larger and
smaller than their predecessor
The algorithm must take O(n²) time. You must also write and explain the recurrence.
Example 1:
Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4]
Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4])
Example 2:
Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8]
Output: 8 ([4, 7, 2, 5, 3, 8, 0,4])
(Take your time with this for the subproblem for this one)
Design a dynamic programming algorithm for the Coin-change problem described below:
Input: An amount of money C and a set of n possible coin values with an unlimited supply of each
kind of coin.
Output: The smallest number of coins that add up to C exactly, or output that no such set exists.
The algorithm must take O(n C) time. You must also write and explain the recurrence.
Example 1:
Input: C24, Coin values = = [1, 5, 10, 25, 50]
Output: 6 (since 24 = 10+ 10+1+1 +1 + 1)
Example 2:
Input: C = 86, Coin values = [1, 5, 6, 23, 35, 46, 50]
Output: 2 (since 86 = 46+35+5)
Chapter 8 Solutions
Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)
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