Consider these six problems. A. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to maximize your profit B. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to minimize your profit C. Given a graph, determine the shortest path from the start vertex to the end vertex without repeating any edges D. Given a graph, determine the longest path from the start vertex to the end vertex without repeating any edges E. Given a sequence of integers, determine the longest increasing subsequence of that F. Given a sequence of integers, determine the longest decreasing subsequence of that sequence sequence Five of these six problems have elegant and efficient solutions using Dynamic Programming, but one of these problems does not.

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
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Which one out of the six cannot be solve using dynamic programming

Consider these six problems.
A. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to
maximize your profit
B. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to
minimize your profit
C. Given a graph, determine the shortest path from the start vertex to the end vertex without
repeating any edges
D. Given a graph, determine the longest path from the start vertex to the end vertex without
repeating any edges
E. Given a sequence of integers, determine the longest increasing subsequence of that sequence
F. Given a sequence of integers, determine the longest decreasing subsequence of that sequence
Five of these six problems have elegant and efficient solutions using Dynamic Programming, but
one of these problems does not.
Transcribed Image Text:Consider these six problems. A. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to maximize your profit B. Given a rod, and a set of prices p[i] for each cut of length i, determine how to cut the rods to minimize your profit C. Given a graph, determine the shortest path from the start vertex to the end vertex without repeating any edges D. Given a graph, determine the longest path from the start vertex to the end vertex without repeating any edges E. Given a sequence of integers, determine the longest increasing subsequence of that sequence F. Given a sequence of integers, determine the longest decreasing subsequence of that sequence Five of these six problems have elegant and efficient solutions using Dynamic Programming, but one of these problems does not.
Expert Solution
Step 1

Dynamic Programming (DP) is an algorithmic technique for solving an optimization problem by breaking it down into simpler subproblems and utilizing the fact that the optimal solution to the overall problem depends upon the optimal solution to its subproblems.

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