Contents

- 1 Are there any subsets with a sum of zero?
- 2 How does hill climbing solve the slide puzzle?
- 3 How does hill climbing work on tile 8?
- 4 Are there any drawbacks to hill climbing algorithm?
- 5 How to find number of subsets with sum equal to X?
- 6 Which is an example of a subset sum problem?
- 7 How to find if there is a subarray with 0 sum?

## Are there any subsets with a sum of zero?

with sum 0, ans will be 2. Input : arr[] = {1, 1, 1, 1} Output : 1 {} is the only possible subset with sum 0, thus ans equals 1.

## How does hill climbing solve the slide puzzle?

Hill climbing evaluates the possible next moves and picks the one which has the least distance. It also checks if the new state after the move was already observed. If true, then it skips the move and picks the next best move. As the vacant tile can only be filled by its neighbors, Hill climbing sometimes gets locked and couldn’t find any solution.

## How does hill climbing work on tile 8?

However, tile 8 is 1 move away from its final position. Hill climbing evaluates the possible next moves and picks the one which has the least distance. It also checks if the new state after the move was already observed. If true, then it skips the move and picks the next best move.

## Are there any drawbacks to hill climbing algorithm?

If true, then it skips the move and picks the next best move. As the vacant tile can only be filled by its neighbors, Hill climbing sometimes gets locked and couldn’t find any solution. It’s one of the major drawbacks of this algorithm. Another drawback which is highly documented is local optima.

## How to find number of subsets with sum equal to X?

Given an array arr [] of length N and an integer X, the task is to find the number of subsets with a sum equal to X. Recommended: Please try your approach on {IDE} first, before moving on to the solution.

## Which is an example of a subset sum problem?

Given a set of non-negative integers, and a value sum, determine if there is a subset of the given set with sum equal to given sum. Example: Input: set[] = {3, 34, 4, 12, 5, 2}, sum = 9 Output: True //There is a subset (4, 5) with sum 9.

## How to find if there is a subarray with 0 sum?

Hashing is used to store the sum values so that we can quickly store sum and find out whether the current sum is seen before or not. arr [] = {1, 4, -2, -2, 5, -4, 3} If we consider all prefix sums, we can notice that there is a subarray with 0 sum when : 1) Either a prefix sum repeats or 2) Or prefix sum becomes 0.