# Block world problem with example in Artificial Intelligence

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The Block World problem is a classic example used in the field of artificial intelligence and planning. It involves manipulating blocks in a world with specific rules and goals.

### An example of the Block World problem:

Suppose we have a world with three blocks named A, B, and C. The initial configuration of the blocks is as follows:
`ABC`

The goal is to rearrange the blocks to achieve the following configuration:

``````B
A
C``````

To solve this problem, we can define a set of actions that can be performed on the blocks. In the Block World, the common actions are:

1. Stack(x, y): This action stacks block x on top of block y. For example, Stack(A, B) would result in:
``````B
A
C``````
1. Unstack(x, y): This action unstacks block x from the top of block y. For example, Unstack(A, B) would result in:
``````A
B
C``````

Using these actions, we can define a plan to transform the initial state to the goal state. Here’s a possible plan to solve the Block World problem:

1. Unstack(A, B):
``````A
B
C``````
1. Stack(A, C):
``````C
A
B``````
1. Unstack(B, C):
``````C
B
A``````
1. Stack(B, A):
``````B
A
C``````

After executing this plan, we achieve the goal state where block B is on top of block A, and block C remains unchanged.

The Block World problem serves as a simplified representation of more complex planning scenarios. It helps illustrate the challenges and strategies involved in planning and executing actions to achieve desired goals in a structured environment.