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How does the reduction from 3-CNF-SAT to Subset-Sum work?

Reduction from 3-CNF-SAT to Subset-Sum works by transforming a 3-CNF-SAT problem into an equivalent Subset-Sum problem. This is done by encoding the variables and clauses of the 3-CNF-SAT problem as numbers in the Subset-Sum problem, such that a solution to the Subset-Sum problem corresponds to a satisfying assignment for the 3-CNF-SAT problem.


How can the subset sum problem be reduced to the knapsack problem?

The subset sum problem can be reduced to the knapsack problem by transforming the elements of the subset sum problem into items with weights equal to their values, and setting the knapsack capacity equal to the target sum. This allows the knapsack algorithm to find a subset of items that add up to the target sum, solving the subset sum problem.


What is the result of performing a ones complement sum on a given set of numbers?

Performing a one's complement sum on a set of numbers results in the sum of the numbers with any carry-over from the most significant bit added back to the sum.


What is the minimum unique array sum that can be achieved?

The minimum unique array sum that can be achieved is when all elements in the array are different, resulting in the sum of the array being equal to the sum of the first n natural numbers, which is n(n1)/2.


What is the 2 sum problem and how can it be effectively solved?

The 2 sum problem is a mathematical problem where you are given a list of numbers and a target sum, and you need to find two numbers in the list that add up to the target sum. One effective way to solve this problem is by using a hash table to store the numbers as you iterate through the list. This allows you to quickly check if the complement of the current number (the difference between the target sum and the current number) is already in the hash table, indicating a pair that adds up to the target sum.