Problem 6. (13 marks) Simon Denis Poisson (1781-1840), a famous French mathematician and physicist, is said to have become interested n mathematics after encountering some version of the following old puzzle. Three Jugs: Given an 8-pint jug full of water and two empty jugs of 5- and 3-pint capacity, get exactly 4 pints of water in one of the jugs by completely filling up and/or emptying jugs into others. Solve this puzzle by using BFS. Note: Since this is a famous puzzle, solutions to it could be easily found online. You may take ideas or approaches from those solutions. Just remember that you must be able to explain what you submitted