Question

The 3-Dimensional Matching (3DM) decision problem takes as input three sets \(A, B\), and \(C\), each having size \(n\), along with a set \(S\) of triples of the form \((a, b, c)\) where \(a \in A, b \in B\), and \(c \in C\). We assume that \(|S|=m \geq n\). The problem is to decide if there exists a \(3 \mathrm{DM}\) matching, i.e. a subset of \(n\) triples from \(S\) for which each member of \(A \cup B \cup C\) belongs to exactly one of the triples. Show that \((A, B, C, S)\) is a positive instance, where \(A=\{p, q, r\}\), \(B=\{1,2,3\}, C=\{x, y, z\}\), and

$$ S=\{(q, 2, y),(q, 1, z),(p, 3, z),(r, 2, y),(p, 2, y),(p, 3, y),(r, 3, x),(r, 1, z),(q, 1, x)\} $$

Hint: a 3DM matching for this instance will consist of a set of three triples. (10 points)

Answer 1

Answer: The above program is a matlab code that writes and on adding each byte displays the "Wishing good luck .. " on the register. In the main part the first the value of 40000h is added to the register. In the second line of the main function the value from val1 variable is replaced with EAX sysmbol. Then the comment is displayed in the register on line CALL DumpRegs.

There are some errors in the above matlab code:

First the comment should start with a //.

Second the line 12 should come before line 11.

In line 18 the code should be val1,EAX instead of EAX,val1.