Water Jug Problem and State Space Representation Quiz

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18 Questions

What is the final state in the Monkey and Banana Problem based on the provided state space representation?

(*, *, *, yes)

Which operator is used to move the monkey from the door to any other position in the Monkey and Banana Problem?

walk(P)

What is the initial state of the monkey in the Monkey and Banana Problem?

(door, window, no, no)

In the theorem proving problem, what is the user required to do with the provided axioms to find the solution?

Relate them in any particular sequence

Which action allows the monkey to finally grasp the banana in the Monkey and Banana Problem?

grasp

What represents a part of a state in the State Space Representation of the Monkey and Banana Problem?

(yes, no)

What does the blank square on the 8-Puzzle board represent?

A space for moving tiles

How is each state of the 8-Puzzle problem represented?

As a 3x3 matrix with one blank tile and 7 tiles numbered

What are the valid movements for the empty space in the 8-Puzzle problem?

Up, Down, Right, Left

In the context of 8-Puzzle, what does an initial state represent?

A random arrangement of tiles at the start

Which of the following is an example of an intermediate state in the 8-Puzzle problem?

1 2 0 4 5 3 7 8 6

What are the valid movement directions for the empty space in the State Space Representation problem of the 8-Puzzle?

Up, Down, Right, Left

In the context of the water jug problem, what does the state (0,0) represent?

Both jugs are empty

Which rule allows pouring all the water from the 3-L jug into the 4-L jug?

(x, y) → (x+y, 0)

What does the rule (x, y) → (4, y - (4 - x)) represent in the water jug problem?

Pouring some water from the 3-L jug to fill the 4-L jug

When can we fill the 3-L jug completely based on the rules provided for the water jug problem?

When x > 0

Which rule describes emptying the 3-L jug on the ground if it has water?

(x, y) → (0, y)

What is the purpose of the state space representation in the context of solving problems like the water jug problem?

To provide a visual representation of all possible states and transitions

Test your knowledge on the rules and state space representation of the water jug problem. Understand how water can be filled, poured out, and transferred between jugs to reach a specific goal state. Explore the concepts of state space and ordered pairs in solving this classic problem.

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