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Which algorithm can solve water jug problem effectively?
Solution 1 (Always pour from m liter jug into n liter jug) Fill the m litre jug and empty it into n liter jug. Whenever the m liter jug becomes empty fill it. Whenever the n liter jug becomes full empty it. Repeat steps 1,2,3 till either n liter jug or the m liter jug contains d litres of water.
What is the statement of water jug problem?
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.
How do you fix a water jug problem in AI?
Water jug problem in Artificial Intelligence
- (x,y) If x<4. (4,y) Fill the 4 gallon jug completely.
- (x,y) if y<3. (x,3) Fill the 3 gallon jug completely.
- (x,y) If x>0. (x-d,y)
- (x,y) If y>0. (x,y-d)
- (x,y) If x>0. (0,y)
- (x,y) If y>0. (x,0)
- (x,y) If (x+y)<7. (4, y-[4-x])
- (x,y) If (x+y)<7. (x-[3-y],y)
What is the use of water jug problem in AI?
Problem: You are given two jugs, a 4-gallon one and a 3-gallon one. Neither has any measuring mark on it. There is a pump that can be used to fill the jugs with water….Water-Jug Problem.
| Rule | State | Process |
|---|---|---|
| 9 | (0,2) | (2,0) {Pour 2 gallon water from 3 gallon jug into 4 gallon jug} |
Which is the heuristic function for the water jug problem?
The best-estimate function of the problem is admitted as its heuristic function. In the water jug problem, there is a constraint that only certain amounts of water can be added to a gallon of water. The heuristic function proposed for a water jug problem, h (x,y) = (x * a) + (y * b), and has the lowest value at (0,0).
Which is the best way to solve a water jug problem?
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. Let’s first understand, “What is Breadth-First Search (BFS)?”.
How to solve the water jug problem using BFS?
The solution given below is a C++ code for solving the Water Jug problem using Breadth-First Search and Queue. All the intermediary operations are written using if-else-if conditions. The output is given in the form of state configuration representations.
How is the state of a water jug represented?
Each distinct configuration of the problem is known as its state. While iterating through the solutions one state can be achieved more than once. The state-space for the water jug problem is usually represented as a set of ordered pairs of integers (X, Y), where X= 1,2,3,…..m and Y=1,2,3,……n.