# Which technique is used for solving 8-puzzle problem?

## Which technique is used for solving 8-puzzle problem?

The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle. Example: N=8, then the square root of (8+1) = 3 rows and 3 columns.

## How do you solve the 8-puzzle problem with heuristic in artificial intelligence?

Solution: The puzzle can be solved by moving the tiles one by one in the single empty space and thus achieving the Goal state. Instead of moving the tiles in the empty space we can visualize moving the empty space in place of the tile. The empty space cannot move diagonally and can take only one step at a time.

**Is 8-puzzle problem always solvable?**

Following is simple rule to check if a 8 puzzle is solvable. It is not possible to solve an instance of 8 puzzle if number of inversions is odd in the input state. In the examples given in above figure, the first example has 10 inversions, therefore solvable. The second example has 11 inversions, therefore unsolvable.

### Is H S 0 is an admissible heuristic for the 8-puzzle why or why not?

(5 pts) h(n)=0 is an admissible heuristic for the 8-puzzle. TRUE. h(n)=0 NEVER over-estimates the remaining optimal distance to a goal node.

### What is meant by 8-puzzle problem?

The 8-puzzle problem is a puzzle invented and popularized by Noyes Palmer Chapman in the 1870s. It is played on a 3-by-3 grid with 8 square blocks labeled 1 through 8 and a blank square. Your goal is to rearrange the blocks so that they are in order.

**How do you solve heuristic problems?**

Let’s take a look at some examples.

- A Rule of Thumb. This includes using a method based on practical experience.
- An Educated Guess. An educated guess or guess and check can help resolve a problem by using knowledge and experience.
- Trial and Error.
- An Intuitive Judgment.
- Stereotyping.
- Profiling.
- Common Sense.

## How many possible moves are there in 8-puzzle problem?

The set of all possible configuration in the problem space, consists of 3,62,880 different configurations of the 8 tiles and blank space.

## How many possible states are there in the 8-puzzle game?

**What is goal state in 8-puzzle?**

An 8 puzzle is a simple game consisting of a 3 x 3 grid (containing 9 squares). One of the squares is empty. The object is to move to squares around into different positions and having the numbers displayed in the “goal state”.

### Is 0 an admissible heuristic?

When we use A* with a non admissible heuristic we can sometimes get a non optimal path as result. But when it is allowed to have path with zero cost, the only admissible heuristic that comes to my mind is h(x) = 0 , which turns A* into a “simple” Dijkstra’s algorithm.

### Which heuristic is admissible?

For a heuristic to be admissible to a search problem, needs to be lower than or equal to the actual cost of reaching the goal. f(n) = evaluation function.

**What is a heuristic example?**

Heuristics can be thought of as general cognitive frameworks humans rely on regularly to quickly reach a solution. For example, if a student needed to decide what subject she will study at university, her intuition will likely be drawn toward the path that she envisions most satisfying, practical and interesting.

## How do you solve the 8-puzzle problem with heuristics can you give 3 examples of heuristic to solve 8-puzzle problem?

A good heuristic for the 8-puzzle is the number of tiles out of place. A better heuristic is the sum of the distances of each tile from its goal position (“Manhattan distance”). An even better heuristic takes into account the number of direct adjacent tile reversals present….Greedy search.

1 | 2 | 3 |
---|---|---|

7 | 8 | 5 |

4 | 6 |

## Which is the best heuristic function for the 8-puzzle problem?

Experimental results show that the Nilsson Sequence Score heuristic finds a solution to the 8-puzzle much faster than all the admissible heuristics.

**What is an admissible heuristic example?**

A heuristic h is admissible (optimistic) if: 0 ≤ h(n) ≤ h∗(n) where h∗(n) is the true cost to a nearest goal Note: Coming up with admissible heuristics is most of what’s involved in using A* in practice. Examples: Optimize: number of flips.

### How do you choose A heuristic?

The standard way to construct a heuristic function is to find a solution to a simpler problem, which is one with fewer constraints. A problem with fewer constraints is often easier to solve (and sometimes trivial to solve).