Which algorithm is used to solve water jugs?

Numerous source codes have been devised for solving Water Jug problems using recursion, searching and sorting algorithms. The solution written using Breadth-First Search is considered to be one of the most optimum solutions.

How do you solve a water jug problem?

A) Fill the 5-gallon jug. Use it to fill the 3-gallon jug, leaving 2 gallons in the 5-gallon jug. Empty the 3-gallon jug, and then pour in the 2 remaining gallons from the other jug. Fill the now empty 5-gallon jug and pour 1 gallon into the 3-gallon jug.

What is water jug problem explain in brief?

A Water Jug Problem: You are given two jugs, a 4-gallon one and a 3-gallon one, a pump which has unlimited water which you can use to fill the jug, and the ground on which water may be poured. Neither jug has any measuring markings on it. We can pour water out of a jug to the ground.

How do you solve a water jug without AI?

Problem: There are two jugs of volume A litre and B litre. Neither has any measuring mark on it. There is a pump that can be used to fill the jugs with water. How can you get exactly x litre of water into the A litre jug….and Transfer water jug.

Rule State Process
4 (X,Y | Y>0) (X,0) {Empty 3-gallon jug}

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)

How do you get 4 gallons with a 3 and 5 gallon jug?

Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug. 4. Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon) 5. Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.

How can I get 4 gallons?

Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon) 5. Viola the remaining 5 gallon jug will have exactly 4 gallons remaining. 1.) Fill 3 Gallon, pour it into 5 gallon –> now 5 gallon is filled with 3 gallon & remaining 2 gallon left in that 2.)

How do you get 5 gallons from a 6 and 4 gallon jug?

Empty the three gallon jug. (4) Pour the two gallons into the three gallon jug. (5) Fill the five gallon jug and pour one gallon from it into the three gallon jug – filling the three gallon jug. (6) Four gallons remain in the five gallon jug.

Is water jug problem?

The water jug problem can be solved with just two jugs – one that can hold 5 litres of water and the other that can hold 3 litres of water, if there is also an unlimited supply of water from a tap and a sink.

What is water jug in AI?

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.

How the state is represented in water jug problem?

The operators to be used to solve the problem can be describes as shown below. They are represented as rules whose left side are matched against the currnent state and whose right side describes the new state that results from applying the rules. We have two jugs a 4 gallon and a 3 gallon.

Why AI programs are called difficult?

In the field of artificial intelligence, the most difficult problems are informally known as AI-complete or AI-hard, implying that the difficulty of these computational problems, assuming intelligence is computational, is equivalent to that of solving the central artificial intelligence problem—making computers as …

Which is the best way to solve the two water jug puzzle?

There are several ways of solving this problem including BFS and DP. In this article, an arithmetic approach to solving the problem is discussed. The problem can be modeled by means of the Diophantine equation of the form mx + ny = d which is solvable if and only if gcd (m, n) divides d.

What are the assumptions for solving the water jug problem?

We make some assumptions for solving the Water Jug Problem: You can fill any Jug from the pump. You are allowed to pour water from a jug into the ground/bucket. You are allowed to pour water from one jug to another. You can not use any other measuring device or parameters.

How is the water jugs problem solved in Excel?

The water jugs problem is a famous problem in artificial intelligence, computer programming, discrete mathematics and psychology. The existing methods of solutions are often non-algorithmic in nature. In this paper, we present an algorithmic approach to solve this problem and describe its implementation in Excel.

How to measure jug J1 of 5 liters?

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. First of all this problem can be solved since gcd (3,5) = 1 which divides 1 (See this for detailed explanation).