Given a set S of integers, we say that S can be partitioned if it can be split into two disjoint sets U and V whose sums are equal – in other words, we can take sets U and V so that U U V = S, U n V =...


Given a set S of integers, we say that S can be partitioned if it can be split into two<br>disjoint sets U and V whose sums are equal – in other words, we can take sets U and V<br>so that U U V = S, U n V = Ø, and Eueu u = Evev v.<br>Let PARTITION = { <S> | S can be partitioned }.<br>Show that PARTITION e NP by writing either a verifier or an NDTM.<br>Show that PARTITION is NP-complete by reduction from SUBSET-SUM.<br>

Extracted text: Given a set S of integers, we say that S can be partitioned if it can be split into two disjoint sets U and V whose sums are equal – in other words, we can take sets U and V so that U U V = S, U n V = Ø, and Eueu u = Evev v. Let PARTITION = {

| S can be partitioned }. Show that PARTITION e NP by writing either a verifier or an NDTM. Show that PARTITION is NP-complete by reduction from SUBSET-SUM.


Jun 04, 2022
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