Suppose a string \( Z \) is formed by interspersing the characters from two other strings \( X \) and \( Y \). The new string \( Z \) is called a shuffle of \( X \) and \( Y \) if characters in \( Z \) coming from the same string still keep the order as in the original string. For example, the strings "PRODGYRNAMAMMIINCG" and "DYPRONGARMAMMICING" are both shuffles of "DYNAMIC" and "PROGRAMMING":\[ \text{PRODGYRNAMAMMIINCG} \]\[ \text{DYPRONGARMAMMICING} \]Given three strings \( A[1..m] \), \( B[1..n] \), and \( C[1..m+n] \), design a dynamic programming algorithm to determine if \( C \) is a shuffle of \( A \) and \( B \).

Start with first characters of X, Y and Z. If first characters of X and Z matches, move 1 character…

Answered: Suppose a string Z is formed by…

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Algorithm

Start with first characters of X, Y and Z.
If first characters of X and Z matches, move 1 character forward of X and Z and check recursively.
If first characters of Y and Z matches, move 1 character forward of Y and Z and check recursively.
If X, Y and Z are empty return True.
if any of the step 2 or step 3 returns True, return True.