Question

In: Computer Science

CHECK + THE = TIRES Solve this puzzle using constraint satisfaction and draw the constraint graph.

CHECK + THE = TIRES

Solve this puzzle using constraint satisfaction and draw the constraint graph.

Solutions

Expert Solution

Given, CHECK + THE = TIRES

We have constraints as

i) No two letters have same value

ii) Sum of digits must be shown in the problem

iii) The values must be in range on (0-9)

C H E C K

+   T H E

T I R E S

Let consider a table having letter( which are given in the equation) and digits which are agined after solving.

Letters Value (digits)
C 5
H 9
E 4
K 3
T 6
I 9
R 1
S 7

Note : The digits coloumn has been filled after solving the problem.

Solution:

Note : The Answer is displayed first as a picture please take that as a reference and follow the steps

Step1 :

Let us start from the lest side of the answer

The C and T are in same phase so there must be a carry over C to get the diifferent value for T

So in CHECK from left to right after C we have H to get the carry on C the value of H must be 9 So let us freeze 9 for H and as H is 9 and the answer letter for H is I,

We have H=9 If there is a carry then the value will become 10 so I = 0 and remaining carry will be farwarded to C

Step 2:

Consider, H from THE whose value is 9 let us consider C=5,

C+H = E

5+9 = 4 and one carry (14)

So Value for E=4

As C=5 then in the left most side the TIRES T = 6 since C+ carry =T ----> 5+1(carry) = 6

So T=6

Step 3 :

In CHECK E=4

In THE T=6

C+T = R

5+6  = 1 and carry 1 (11)

So R =1

Step 4 :

In the right most part E = 4

The ramaining values are K and S Which are non repeatable so you can consider any value which is noot going to give a carry.

I took K=3

So K+E=S

3+4=7

So S=7.

Considering these steps fill the digits coloumn in the table alternatively.

Thank you.


Related Solutions

Using a set of data, you will graph a budget constraint and express it as an...
Using a set of data, you will graph a budget constraint and express it as an algebraic equation. You will also determine the combination of two goods that gives the maximum total utility. Instruction: Suppose that as a consumer you have $34 per month to spend for munchies, either on pizzas which cost $6 each or on Twinkies which cost $4 each. Suppose further that your preferences are given by the following total utility table. Count 1 2 3 4...
Write a Python program to solve the 8-puzzle problem (and its natural generalizations) using the A*...
Write a Python program to solve the 8-puzzle problem (and its natural generalizations) using the A* search algorithm. The problem. The 8-puzzle problem is a puzzle invented and popularized by Noyes Palmer Chapman in the 1870s. It is played on a 3-by-3 grid with 8 square blocks labeled 1 through 8 and a blank square. Your goal is to rearrange the blocks so that they are in order, using as few moves as possible. You are permitted to slide blocks...
Write a program ( Java) to solve the 8-puzzle problem (and its natural generalizations) using the...
Write a program ( Java) to solve the 8-puzzle problem (and its natural generalizations) using the A* search algorithm. The problem. The 8-puzzle problem is played on a 3-by-3 grid with 8 square blocks labeled 1 through 8 and a blank square. Your goal is to rearrange the blocks so that they are in order. You are permitted to slide blocks horizontally or vertically into the blank square. The following shows a sequence of legal moves from an initial board...
In constraint satisfaction, local search is a method for solving the problem. Is this an example...
In constraint satisfaction, local search is a method for solving the problem. Is this an example of a hill climbing search or gradient decent search? Why? How would you convert the algorithm between the two?
3. Draw and label the bond market graph covered in chapter 5. Then, using the graph,...
3. Draw and label the bond market graph covered in chapter 5. Then, using the graph, illustrate how the equilibrium price, yield to maturity, and quantity changes as a result of: A) an increase in expected inflation. Explain the movement from one equilibrium to another. B) A decrease in the riskiness of bonds. Explain the movement from one equilibrium to another. C) an increase in the government budget deficit. Explain the movement from one equilibrium to another.
Draw all possible border pieces of a puzzle, each having a different shape. Border-pieces are puzzle...
Draw all possible border pieces of a puzzle, each having a different shape. Border-pieces are puzzle pieces that have at least one smooth edge.
Describe a budget constraint that would result in a kink. Draw the budget constraint, being careful...
Describe a budget constraint that would result in a kink. Draw the budget constraint, being careful to label all kink points with corresponding x and y values.
Answer the following questions using the standard leisure-work choice model a)Draw a budget constraint for a...
Answer the following questions using the standard leisure-work choice model a)Draw a budget constraint for a worker has a job which pays a wage of $10.00 per hour. Draw an indifference map for typical worker. Assume that the worker is able to choose any number of hours of work and this worker’s optimal position is to work 8 hours a day. Show this point on your graph. b)Suppose the worker now receives $60 per day non-labor income. On your graph...
It is known that the mean time to solve the puzzle in healthy control children is...
It is known that the mean time to solve the puzzle in healthy control children is 60 seconds. Carry out the Wilcoxon signed-rank test on these data to test the null hypothesis that the mean time to solve the puzzle for children with NF1 is the same as for healthy controls. a) Calculate the value of the test statistic and give the approximate normal distribution of the test statistic under the null hypothesis. b) Calculate the p-value for the test...
Using a market graph similar to what is was presented in the course materials, draw a...
Using a market graph similar to what is was presented in the course materials, draw a graph showing how a tariff on clothing produces the following results (Hint: draw the graph large enough to incorporate labels for free trade and the impact of the tariff): the domestic price of clothing increases clothing imports are reduced the domestic producer surplus increases the consumer surplus is reduced the total surplus is reduced
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT