What is a water jug problem?

Water pouring puzzles (also called water jug problems, decanting problems, measuring puzzles, or Die Hard with a Vengeance puzzles) are a class of puzzle involving a finite collection of water jugs of known integer capacities (in terms of a liquid measure such as liters or gallons).

What is state space search for water jug problem in AI?

The state space for this problem can be described as the set of ordered pairs of integers (X, Y) such that X = 0, 1, 2, 3 or 4 and Y = 0, 1, 2 or 3; X is the number of gallons of water in the 4-gallon jug and Y the quantity of water in the 3-gallon jug.

Which type of search algorithm is used in water jug problem?

Breadth-first search is usually compared with the depth-first search (DFS) algorithm. For solving the Water Jug Puzzle, we prefer the Breadth-first search over the Depth-first search as it is not necessary that the depth-first search will find the shortest path.

What is the three jug problem?

Three jugs are given with water in them, each containing an integer number of pints. It is allowed to pour into any jug as much water as it already contains, from any other jug. Prove that after several such pourings it is possible to empty one of the jugs.

What are the conditions restrictions of water jug?

The jugs don’t have markings to allow measuring smaller quantities. Empty a Jug, (X, Y)->(0, Y) Empty Jug 1. Fill a Jug, (0, 0)->(X, 0) Fill Jug 1. Pour water from one jug to the other until one of the jugs is either empty or full, (X, Y) -> (X-d, Y+d)

What is water jug problem solve if we have a jug J1 of 5 Litre N 5 and another jug J2 of 3 Litre m 3 and we have to measure 1 Litre of water using them?

For example, if we have a jug J1 of 5 liters (n = 5) and another jug J2 of 3 liters (m = 3) and we have to measure 1 liter of water using them. The associated equation will be 5n + 3m = 1.

What is three jug problem in optimization?

in the third, obtain a desired amount in one of the vessels by completely filling up and/or emptying vessels into others. This problem can be solved with the aid of trilinear coordinates (Tweedie 1939). and a well containing an inexhaustible supply of water.

How would you measure exactly 6 liter of water when you have only two containers a 4 liter bucket and a 9 liter bucket write an optimal algorithm to solve the problem?

Fill the 9-liter bucket again and then pour water to fill the 4-liter bucket to the top (this only needs 3 more liters). The 9-liter bucket will now contain exactly 6 liters.

What is the water jug problem in artificial intelligence?

In the water jug problem in Artificial Intelligence, we are provided with two jugs: one having the capacity to hold 3 gallons of water and the other has the capacity to hold 4 gallons of water. There is no other measuring equipment available and the jugs also do not have any kind of marking on them.

What is the water jug problem?

Water jug problem is a simple illustration of solving a problem through state space search. But many difficult problems such as understanding of natural Language which need to be solved by the AI techniques, the water jug problem can act as a strong basis for such tedious problems. This was done in the case of ELIZA, an early AI program.

What is the operationalization of water jug problem?

This process is called operationalization. Water jug problem is a simple illustration of solving a problem through state space search. But many difficult problems such as understanding of natural Language which need to be solved by the AI techniques, the water jug problem can act as a strong basis for such tedious problems.

What are the 3 classes of problems in AI?

In AI we can classify a problem in 3 classes, ignorable, recoverable or irrecoverable problems. Now while reading Water jug Problem I am wondering in which of these 3 class it should fall?