You have a 10-liter container, a 7-liter container, and a 4-liter container. The large container is...
You have a 10-liter container, a 7-liter container, and a 4-liter container. The large container is empty; the other two are full of water. You are challenged to rearrange the water, using as few operations as possible, so that there are exactly two liters in either the 7-liter or the 4-liter container. You are allowed to perform only one type of operation: pouring the contents of one container into another, stopping only when the source container is empty or the destination container is full.
In this problem, your goal is to model this scenario as a graph and to solve it with a graph algorithm.
Answer the following questions:
What should each vertex in the graph represent?
What should each edge in the graph represent?
What specific question about the graph needs to be answered to solve the problem?
What algorithm should be used to answer the question from posed above? BFS, Strongly connected components, topological sort, or DFS?
Homework Answers
Hi,
Please find the answers below:
What should each vertex in the graph represent?
Each vertex in the graph should represent a state of all the
containers.
Initial state is given in the description. (You have a 10-liter
container, a 7-liter container, and a 4-liter container. The large
container is empty; the other two are full of water.)
Let’s represent the vertex using the contents in
(10l container, 7l container, 4l container)
i.e
Initial state -> (0,7,4)
What should each edge in the graph represent?
Each edge in the graph should represent a transition function between the states. Let’s make it as unweighted graph i.e pouring 7l or 4l or 10l are same and is counted as 1 operation. Directed acyclic graph.
What specific question about the graph needs to be answered to
solve the problem?
You need to reach a goal state using as few operations as
possible:
( 11-x, 2 , x ) or (11-x, x , 2)
i.e You are challenged to rearrange the water, using as few
operations as possible, so that there are exactly two liters in
either the 7-liter or the 4-liter container.
You can search the graph starting from the Initial state, and stop
the search when the goal state is reached.
What algorithm should be used to answer the question from posed above? BFS, Strongly connected components, topological sort, or DFS?
Breadth First Search can be used to answer the question.
Hope this helps.
Thanks.
Add Answer to:
You have a 10-liter container, a 7-liter container, and a
4-liter container. The large container is...
Pouring water. We have three containers whose sizes are 10 pints, 7 pints, and 4 pints,...
Pouring water. We have three containers whose sizes are 10 pints, 7 pints, and 4 pints, respectively. The 7-pint and 4-pint containers start out full of water, but the 10-pint container is initially empty. We are allowed one type of operation: pouring the contents of one container into another, stopping only when the source container is empty or the destination container is full. We want to know if there is a sequence of pourings that leaves exactly 2 pints in...
There are three containers whose size are 3 pints, 5 pints, and 7 pints, respectively. The...
There are three containers whose size are 3 pints, 5 pints, and 7 pints, respectively. The 3-pint and 5-pint containers start out full of water, but the 7-pint container is initially empty. We are allowed one type of operation: pouring the contents of one container into another, stopping only when the source container is empty or the destination container is full. We want to know if there is a sequence of pourings that leaves exactly 6 pints in the 7-pint...
Pouring water. We have three containers whose size are 10 pints, 7 pints, and 4 pints, respective...
Pouring water. We have three
containers whose size are 10 pints, 7 pints, and 4 pints,
respectively. The 7-pint and 4-pint containers start out full of
water, but the 10-pint container is initially empty. We are allowed
one type of operation: pouring the contents of one container into
another, stopping only when the source container is empty or the
destination container is full. We want to know if there is a
sequence of pourings that leaves exactly 2 pints in...
Please help me with 2 (c), thank you!!! Figure 2: 4 10 Figure 3:1 4 Problems 1. Trace BFS on the following graphs. For...
Please help me with 2 (c), thank you!!!
Figure 2: 4 10 Figure 3:1 4 Problems 1. Trace BFS on the following graphs. For each vertex, record its color, parent, and distance fields, draw the resulting BFS tree, and determine the order in which vertices are added to the Queue. Process adjacency lists in ascending numerical order. a. The graph in figure 1, with 1 as the source. b. The directed graph in figure 2 with 1 as source. 2....
ignore red marks. Thanks 10. (16) You will compute the strongly connected components of this graph...
ignore red marks. Thanks
10. (16) You will compute the strongly connected components of this graph in three steps. a. STRONGLY-CONNECTED-COMPONENTS (G) (7) Perform a depth-first search on call DFS(G) to compute finishing times w/ for each vertex the following graph. (To make 2 compute GT this easier to grade, everyone call DFS(GT), but in the main loop of DFS, consider the vertices in order of decreasing wf (as computed in line 1) please start with vertex "a" and 4...
pls write correct answers asap.... Note- You are athempting question 9 out of 10 Match the following: 1) Quick Sort A)...
pls write correct answers asap....
Note- You are athempting question 9 out of 10 Match the following: 1) Quick Sort A) Divide and conquer programming 2) Task Scheduling B) Greedy programming 3) Merge Sort C) Dynamic programming 4) Prim's D) Not stable a) 1-B2-A 3-C4-D b) 1-D 2-C3-A 4-B c) 1-D 2-C 3-B 4-A d) 1-C 2-D 3-A 4-B Ansre Note - You are attermpring qpestion out of 10 Odd man out: e Topological sort Algorithm DFS Algorithm Binary search...
You are managing a large scale construction project with hundreds of subprojects, some which have to...
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
In this question, we will think about how to answer shortest path problems where we have more than just a single sourc...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
Problem 4 You draw 10°C water from the tap and pop it into a cubic container...
Problem 4 You draw 10°C water from the tap and pop it into a cubic container to heat for tea. When the cube of 5.6 cm on a side is filled up to the brim you place it in a microwave beam having Eo = 15 kV/m. The water absorbs 75% of the incident energy. How long in seconds) should you microwave the water so it just reaches the boiling point? Make some plausible assumptions about the process to make...
Please help me with this answer. Performance Comparison for Dijkstra Algorithm and Bellman-Ford Algorithm Problem Description...
Please help me with this answer. Performance Comparison for Dijkstra Algorithm and Bellman-Ford Algorithm Problem Description The shortest path problem is one of most important problems in graph theory and computer science in general. Shortest path problem is one of typical optimization problems. Given a graph G = (V,E), the goal is to nd a minimum cost path from s → t, s,t ∈ V . This variant is called one-to-one shortest path problem. Other variants are one-to-all (compute shortest...
There are three containers whose size are 3 pints, 5 pints, and 7 pints, respectively. The 3-pint and 5-pint containers start out full of water, but the 7-pint container is initially empty. We are allowed one type of operation: pouring the contents of one container into another, stopping only when the source container is empty or the destination container is full. We want to know if there is a sequence of pourings that leaves exactly 6 pints in the 7-pint...
Pouring water. We have three
containers whose size are 10 pints, 7 pints, and 4 pints,
respectively. The 7-pint and 4-pint containers start out full of
water, but the 10-pint container is initially empty. We are allowed
one type of operation: pouring the contents of one container into
another, stopping only when the source container is empty or the
destination container is full. We want to know if there is a
sequence of pourings that leaves exactly 2 pints in...
Please help me with 2 (c), thank you!!!
Figure 2: 4 10 Figure 3:1 4 Problems 1. Trace BFS on the following graphs. For each vertex, record its color, parent, and distance fields, draw the resulting BFS tree, and determine the order in which vertices are added to the Queue. Process adjacency lists in ascending numerical order. a. The graph in figure 1, with 1 as the source. b. The directed graph in figure 2 with 1 as source. 2....
ignore red marks. Thanks
10. (16) You will compute the strongly connected components of this graph in three steps. a. STRONGLY-CONNECTED-COMPONENTS (G) (7) Perform a depth-first search on call DFS(G) to compute finishing times w/ for each vertex the following graph. (To make 2 compute GT this easier to grade, everyone call DFS(GT), but in the main loop of DFS, consider the vertices in order of decreasing wf (as computed in line 1) please start with vertex "a" and 4...
pls write correct answers asap....
Note- You are athempting question 9 out of 10 Match the following: 1) Quick Sort A) Divide and conquer programming 2) Task Scheduling B) Greedy programming 3) Merge Sort C) Dynamic programming 4) Prim's D) Not stable a) 1-B2-A 3-C4-D b) 1-D 2-C3-A 4-B c) 1-D 2-C 3-B 4-A d) 1-C 2-D 3-A 4-B Ansre Note - You are attermpring qpestion out of 10 Odd man out: e Topological sort Algorithm DFS Algorithm Binary search...
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
In this question, we will think about how to answer shortest path problems where we have more than just a single source and destination. Answer each of the following in English (not code or pseudocode). Each subpart requires at most a few sentences to answer. Answers significantly longer than required will not receive full credit You are in charge of routing ambulances to emergency calls. You have k ambulances in your fleet that are parked at different locations, and you...
Problem 4 You draw 10°C water from the tap and pop it into a cubic container to heat for tea. When the cube of 5.6 cm on a side is filled up to the brim you place it in a microwave beam having Eo = 15 kV/m. The water absorbs 75% of the incident energy. How long in seconds) should you microwave the water so it just reaches the boiling point? Make some plausible assumptions about the process to make...
Most questions answered within 3 hours.
-
An object is located 7.10 cm in front of a mirror. The virtual
image is located...
asked 59 minutes ago -
Write a program in python that lets the user play the game Rock,
Paper, Scissors against...
asked 1 hour ago -
A car starts from rest on a curve with a radius of 150 m and
tangential...
asked 4 hours ago -
In Star Wars both the Storm Troopers and Droid Army are
notoriously bad shots. In order...
asked 7 hours ago -
when buffers react with h+ or oh-, do the ratio of conjugate
base to acid and...
asked 7 hours ago -
A population of values has a normal distribution with μ=207.3
and σ=35.8. A random sample of...
asked 8 hours ago -
An unknown solution was treated with H2SO4 and refluxed for 2
hours. The mixture was then...
asked 8 hours ago -
Let x be the age of a licensed driver in years. Let
y be the percentage...
asked 9 hours ago -
System.out.print( "Barrel\t"+"of"+"Laughs" );
asked 9 hours ago -
Need a 1,000 word self explanatory essay on how
characteristics of the functional, matrix & bureaucracy...
asked 9 hours ago -
(Could you explain how I can answer the question and what the
equation I will use)....
asked 9 hours ago -
The ΔGf0 values for HCO3- (aq),
CO32-(aq), and H+(aq) are -587.06,
-528.10 and 0 kJ mol-1,...
asked 9 hours ago