#Cryptarithmetic

[knucklesex]

olso, sleep!!!

snon

YOU get back here and teach me cryptarithmetics

[zzmoksha123456]

Enroll Now: https://bit.ly/35ZyI6G Attend Free Online Workshop on Most Asked Cryptarithmetic Questions in Infosys & eLitmus by Mr.Hari Krishna Demo on: 26th September @ 5.00 PM (IST) For More Details: Visit: https://nareshit.com/new-batches-hyderabad/ Call: +91-9000994007, 9000994008, 9121104164 support@nareshit.com Chat With Our TEAM : https://bit.ly/chatwithGuide Stay at Home, Stay Safe & Update Your Skills from Home #cryptarithmetic #interviewquestions #infosys #elitmus #workshop #webinar #onlinetraining #education #software #technology #edtech #it #course #class #career #job #engineering #student #learnfromhome #nareshitechnologies https://www.instagram.com/p/CFcZ4nPncRy/?igshid=14mizwnfimn4b

[gobrainwiz]

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[queenmeriadoc]

Hiii <3

Is there anything you've been wanting to bake but haven't yet?

Also, if you're really bored and want your brain to get thoroughly fucked, I recommend Cryptarithmetic

I want to try and croissants, I never done it before but I really want to try!

Cryptarithmetic?

[mostjust]

Infosys apple java questions

INFOSYS APPLE JAVA QUESTIONS HOW TO

INFOSYS APPLE JAVA QUESTIONS MAC

So the equation becomes, 3 + 3 + 1 = K i.e K = 7.ĩ32 + 9338 = 10270 So, the value of A = 3, M = 9 and C =2, After putting values in the equation 3A + 2M + 2C = 9 + 18 + 4 = 31. A = 3, A + A + 1 = K, Now put value of A in A + A + 1 = K. Therefore C = 2 and R = 8, M + A = C,2 with the carry 1. In the question J is carry so, let us consider J = 1, O = 0 with carry 1 and M = 9, C + R = O, 0 with carry 1.

INFOSYS APPLE JAVA QUESTIONS MAC

Q.3 MAC + MAAR = JOCKO, Now find the value of 3A + 2M + 2C?Įxplanation: MAC +MAAR = JOCKO can be written as, M A C Therefore, A = 1, B = 9 and C = 8, A + B + C = 18. 1 + C =9 where, C=8 then the equation becomes, 11 + 99 +88 = 198, Hence solved. So the equation 1 is not the possible solution. Let us focus on ten’s place, 1 + C = 8 where, C=7 then the equation becomes, 22 + 88 + 77 = 187. Now take equation number 1, 110 + CC = 28C. So, this can happen only if A + B = 0 (units) A & B add up to 10. Let’s take the unit digit value of the given question. We get the value of A, Now let’s focus on the value of B. Either value of A will be 1 or 2 (A=2 or A=1). For example: AA + BB + CC (99 + 88 + 77 = 264) so the possible largest value of A can be 2. If we add 3 two-digit numbers then most of you get answers in 200s. Here, the digits are positive and distinct. Then what is the value of A + B + C = ?Įxplanation: AA + BB + CC = ABC can also be written as, A A Find the value of R + H + O?Įxplanation: Another way of writing HERE + SHE = COMES is H E R E

INFOSYS APPLE JAVA QUESTIONS HOW TO

Now, let us learn how to solve any Cryptarithmetic questions with answers: Cryptarithmetic Questions Q.1 HERE = COMES – SHE (Assume S=8).

When all letters are replaced with digits, then the resulting arithmetic operations should be correct.

There is always one solution for one entire problem.

In Cryptarithmetic problem you’ve to find the value of each and every letter.

Each and every letter represents only one digit throughout the entire problem.

Each and every letter should have distinct and unique value.

Rules For Solving Cryptarithmetic Questions By solving the below questions you’ll be able to attempt maximum questions in a short period of time. If you want to solve maximum questions in an exam then you’re at the right place. If you’re familiar with solving Cryptarithmetic questions then you can easily answer most of the questions only in 4 to 5 minutes.Ĭryptarithmetic questions in exams are based on basic mathematics like finding the value of A+B+C, 2A+C, or triangle-related questions. It takes about 10 to 15 minutes to solve Cryptarithmetic questions in exams. It was published in Strand Magazine which was associated with the story of the kidnapper’s ransom demand. The well-known Cryptarithmetic question SEND + MORE = MONEY was created by H.E Dudeney and was first published in the year 1924. In which all of the digits are replaced by asterisks. Similarly, in India, arithmetic restorations or skeletons were originated. Cryptarithmetic is originated in ancient China. This art previously was known as verbal arithmetic or letter arithmetic. Cryptarithmetic is also a genre of mathematical puzzle where digits are replaced by the letters of alphabets or other symbols.

Q.12 TO + GO = OUT, Then find the value of T + G + O + U?Ĭryptarithmetic is the art and science of solving and creating cryptarithms.

Q.11 USSR + USA = PEACE, then what is the value of P + E + A + C + E?.

Q.10 If POINT + ZERO = ENERGY, then E + N + E + R + G + Y = ?.

Q.9 If EAT + THAT = APPLE, then what is the sum of A + P + P + L + E?.

Q.8 YOUR + YOU = HEART (Assume O = 4).

Q.7 FORTY + TEN + TEN = SIXTY, Now find the value of T + E + N?.

Q.6 TOM + NAG = GOAT Now find the value of G + O + A + T?.

Q.5 NO + GUN + NO = HUNT, Now find the value of HUNT?.

Q.4 SEND + MORE = MONEY, Now find the value of M + O + N + E + Y?.

Q.3 MAC + MAAR = JOCKO, Now find the value of 3A + 2M + 2C?.

Rules For Solving Cryptarithmetic Questions.

Importance of Cryptarithmetic Questions.

[felord]

COMP474/6741 Assignment 2     Solved 

                        Question 1 (20 pts)

In this question, we will be exploring two common local search algorithms: Hill-climbing and Simulated Annealing Search. Your task is to run each of these algorithm on the state graph below. a) For each of the algorithms listed above, you should do the following tasks: Execute the algorithm on the graph. Record the path of execution by listing the nodes in order of traversal. In the case of Simulated Annealing Search, only record the nodes that you traverse, not the ones you consider traversing.  Record the output of the algorithm.

    The labels of each node is the objective value of that node. Note that we are trying to maximize in this problem, so high values are "good."  Note: For Simulated Annealing Search, there are two pieces of information you must know. These are the probability function,𝑃(𝑒, 𝑒′, 𝑇) and the source of randomness. Define P as follows: 1         𝑒′ > 𝑒 𝑃(𝑒, 𝑒,, 𝑇) {1        𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒 2     Note that this function ignores the temperature parameter, T, for the sake of simplicity.   As for the source of randomness, use the following series of values, R, from the interval as "random" values. When you need to decide which of the n neighbors of a node to randomly choose, divide the range into n congruent interval, and then use the next unused value from R to see which interval and thus node to pick. When you are comparing values of P, note that you only need consume a random value when 𝑃(𝑒, 𝑒,, 𝑇) 𝑅𝑖. consider the random trial a "success,” i.e., you should transition to that node. R =  

Question 2 (8 pts)

You are in charge of scheduling for computer science classes that meet Tuesday, Thursday and Fridays. There are 5 classes that meet on these days and 3 Instructors who will be teaching these classes. You are constrained by the fact that each Instructor can only teach one class at a time. The classes are: Class 1 - COMP 335 Introduction to Theoretical Computer Science: meets from 8:00-9:00am Class 2 – COMP346 Operating Systems: meets from 8:30-9:30am Class 3 – COMP474 Intelligent Systems: meets from 9:00-10:00am Class 4 – COMP442 Compiler Design: meets from 9:00-10:00am Class 5 – COMP6321 Machine Learning: meets from 10:30-11:30am The instructors are: Instructor A, who is qualified to teach Classes 1, 2, and 5. Instructor B, who is qualified to teach Classes 3, 4, and 5. Instructor C, who is qualified to teach Classes 1, 3, and 4.   Formulate this problem as a constraints satisfactions problem CSP problem in which there is one variable per class, stating the domains, and constraints. Constraints should be specified formally and precisely, but may be implicit rather than explicit. Draw the constraint graph associated with your CSP. Your CSP should look nearly tree-structured. Briefly explain (one sentence or less) why we might prefer to solve tree-structured CSPs.  

Question 3 (12 pts)

Four instructors, A, B, C and D have to give classes at the same time. 5 rooms are available:  rooms1, 2, 3, 4 and 5. Instructor A doesn't want to teach in room 1. Instructor Bdoesn't want to teach in room 2. Instructor D wants to teach in a room withnumber greater or equal to 3, yet strictly less than the number of the roomB is teaching in. Instructor C doesn't want to teach in a room adjacent tothat of B (rooms with successive numbers are adjacent), nor in room 5. Obviously, we want to assign different rooms to different instructors. Formulate the above constraint problem in terms of constraints over the variables A, B, C and D and the finite domain {1,2,3,4,5}. Use Forward Checking to generate a solution to the problem by drawing the search tree (depth-first with forward checking as arc-consistency method between successive assignments of the back- tracking algorithm). Clearly indicate at each step which elements are removed from the domains. Finally, do forward checking again, but this time provide any heuristic search that optimize the solution.    

Question 4 (15pts)

  In this question we tackle a (sort-of) cryptarithmetic problem. AB + CBA --------- DBC   The goal is to find numeric assignments to letters such that the above addition is correct. Read this part carefully: In this problem, we will require that A, B, and C are all different from eachother. D is allowed to have the same value as another letter. No leading zeros are allowed (i.e. A, C, and D cannot equal 0). Finally, the arithmetic for the above problem is done in base 5.   What are the variables, domain, and constraints? Hint: You may find characters from the following set useful in writing your constraints: {+, ≡5 (equivalence mod five), =, ≠,, ≤ , ≥}   Now solve the problem using backtracking with forward checking. As heuristics, use Minimum remaining values MRV for selecting variables (break ties alphabetically) and assign values in numeric order when multiple options are available. Show the sequence of variable assignments, and state how many times the algorithm backtracks.   For example: A: 2 A: 2 B: 2 A: 3 A: 3 B: 2 A: 3 B: 2 D: 1 A: 3 B: 2 D: 1 C: 4 We backtracked 1 time.      

Question 5 (15 pts)

Consider a genetic algorithm (GA) with chromosomes consisting of six genes xi = abcdef, and each gene is a number between 0 and 9. Suppose we have the following population of four chromosomes:   x1 = 4 3 5 2 1 6   x2 = 1 7 3 9 6 5 x3 = 2 4 8 0 1 2       x4 = 9 0 8 1 2 3   and let the fitness function be f(x) = (a + c + e) − (b + d + f). Sort the chromosomes by their fitness. Do one-point crossover in the middle between the 1st and 2nd fittest, and two-points crossover (points 2, 4) for the 2nd and 3rd. Calculate the fitness of all the offspring    

Question 6 (15 pts)

Suppose a genetic algorithm uses chromosomes of the form x = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual x be calculated as:   f(x) = (a + b) − (c + d) + (e + f) − (g + h),   and let the initial population consist of four individuals with the following chromosomes:   x1 = 6 5 4 1 3 5 3 2 x2 = 8 7 1 2 6 6 0 1 x3 = 2 3 9 2 1 2 8 5 x4 = 4 1 8 5 2 0 9 4   Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last. Perform the following crossover operations: Cross the fittest two individuals using one–point crossover at the middle point. Cross the second and third fittest individuals using a two–point crossover (points b and f). Cross the first and third fittest individuals (ranked 1st and 3rd) using a uniform crossover.   Suppose the new population consists of the six offspring individuals received by the crossover operations in the above question. Evaluate the fitness of the new population, showing all your workings. Has the overall fitness improved? By looking at the fitness function and considering that genes can only be digits between 0 and 9 find the chromosome representing the optimal solution (i.e. with the maximum fitness). Find the value of the maximum fitness. By looking at the initial population of the algorithm can you say whether it will be able to reach the optimal solution without the mutation operator?    

Question 7 (15 pts)

A budget airline company operates 3 plains and employs 5 cabin crews. Only one crew can operate on any plain on a single day, and each crew cannot work for more than two days in a row. The company uses all planes every day. A Genetic Algorithm is used to work out the best combination of crews on any particular day.   Suggest what chromosome could represent an individual in this algorithm? Suggest what could be the alphabet of this algorithm? What is its size? Suggest a fitness function for this problem. How many solutions are in this problem? Is it necessary to use Genetic Algorithms for solving it? What if the company operated more plains and employed more crews?       Submission:   The assignment must be handed-in electronically by midnight on the due date.   Before you handle in your assignment electronically: Create one zip file, containing all files for your assignment. Name your zip file this way: For individual work: name the zip file: a1_studentID, where studentID is your ID number. For group work: name the zip file: a1_studentID1_studentID2, where studentID1 and studentID2 are the ID numbers of each student. Upload your zip file on Moodle, under Assignment 2 Submission   Read the full article

[knucklesex]

cryptarithmetics is fun thoo

you cant say this and then not teach me

[hellojavatutorialsthings-blog]

CryptArithmetic problem solution

VerbalArithmetic problem solution for ex: given 3 words    ,need to add first 2 words generate 3rd word. for ex:    YOUR+YOU=HEART A  3E  0 H  1 O  4 R  6 T  8 U  2 Y  9  

[gobrainwiz]

Hi Team, uploaded video on CryptArithmetic (e-Litmus)

This question is the about the learning the basics of multiplication in Cryptarithmetic

Those who want can check below video Link: https://lnkd.in/fCenFMj

Kindly those who not subscribed yet please go ahead and do it now , so that in my any upload you will get notification .

Hope you love this tutorial

[dailyprogrammer]

[2018-01-08] Challenge #346 [Easy] Cryptarithmetic Solver

Description

Cryptarithms are a kind of mathematical puzzle. Each puzzle consists of a basic equation of arithmetic (involving addition, subtraction, division, etc.) with words, where each letter represents a different digit. The goal of the puzzle is to find the correct number substitution for each letter in order to make a valid equation.

This classic example (taken from the wikipedia page) was first published in 1924:

S E N D + M O R E _______________ M O N E Y

The solution to this puzzle is:

O = 0, M = 1, Y = 2, E = 5, N = 6, D = 7, R = 8, and S = 9.

(i.e. 9567 + 1085 = 10652)

Note: Leading zeroes are not allowed in a valid solution.

Task

You will be given a cryptarithm in string form. Your task is to output the letters and corresponding numbers which make up a valid solution to the puzzle.

For the purposes of this challenge, all equations will consist only of addition.

Leading zeroes (in a multi-digit number) are not allowed in a valid solution.

The input is guaranteed to be a valid cryptarithm.

Example

Input: "THIS + IS + HIS == CLAIM"

Output: {"A"=>7, "C"=>1, "H"=>8, "I"=>5, "L"=>0, "M"=>6, "S"=>2, "T"=>9}

Challenge Input

"WHAT + WAS + THY == CAUSE" "HIS + HORSE + IS == SLAIN" "HERE + SHE == COMES" "FOR + LACK + OF == TREAD" "I + WILL + PAY + THE == THEFT"

Output

{"A"=>0, "C"=>1, "E"=>4, "H"=>2, "S"=>3, "T"=>6, "U"=>7, "W"=>9, "Y"=>5} {"A"=>1, "E"=>8, "H"=>3, "I"=>5, "L"=>0, "N"=>6, "O"=>9, "R"=>7, "S"=>4} {"A"=>6, "C"=>7, "D"=>3, "E"=>2, "F"=>5, "K"=>8, "L"=>9, "O"=>4, "R"=>0, "T"=>1} {"A"=>2, "E"=>4, "F"=>7, "H"=>0, "I"=>8, "L"=>3, "P"=>5, "T"=>1, "W"=>9, "Y"=>6}

Bonus

A bonus solution can solve one of the longest known alphametics in a reasonable amount of time:

"TEN + HERONS + REST + NEAR + NORTH + SEA + SHORE + AS + TAN + TERNS + SOAR + TO + ENTER + THERE + AS + HERONS + NEST + ON + STONES + AT + SHORE + THREE + STARS + ARE + SEEN + TERN + SNORES + ARE + NEAR == SEVVOTH" "SO + MANY + MORE + MEN + SEEM + TO + SAY + THAT + THEY + MAY + SOON + TRY + TO + STAY + AT + HOME + SO + AS + TO + SEE + OR + HEAR + THE + SAME + ONE + MAN + TRY + TO + MEET + THE + TEAM + ON + THE + MOON + AS + HE + HAS + AT + THE + OTHER + TEN == TESTS" "THIS + A + FIRE + THEREFORE + FOR + ALL + HISTORIES + I + TELL + A + TALE + THAT + FALSIFIES + ITS + TITLE + TIS + A + LIE + THE + TALE + OF + THE + LAST + FIRE + HORSES + LATE + AFTER + THE + FIRST + FATHERS + FORESEE + THE + HORRORS + THE + LAST + FREE + TROLL + TERRIFIES + THE + HORSES + OF + FIRE + THE + TROLL + RESTS + AT + THE + HOLE + OF + LOSSES + IT + IS + THERE + THAT + SHE + STORES + ROLES + OF + LEATHERS + AFTER + SHE + SATISFIES + HER + HATE + OFF + THOSE + FEARS + A + TASTE + RISES + AS + SHE + HEARS + THE + LEAST + FAR + HORSE + THOSE + FAST + HORSES + THAT + FIRST + HEAR + THE + TROLL + FLEE + OFF + TO + THE + FOREST + THE + HORSES + THAT + ALERTS + RAISE + THE + STARES + OF + THE + OTHERS + AS + THE + TROLL + ASSAILS + AT + THE + TOTAL + SHIFT + HER + TEETH + TEAR + HOOF + OFF + TORSO + AS + THE + LAST + HORSE + FORFEITS + ITS + LIFE + THE + FIRST + FATHERS + HEAR + OF + THE + HORRORS + THEIR + FEARS + THAT + THE + FIRES + FOR + THEIR + FEASTS + ARREST + AS + THE + FIRST + FATHERS + RESETTLE + THE + LAST + OF + THE + FIRE + HORSES + THE + LAST + TROLL + HARASSES + THE + FOREST + HEART + FREE + AT + LAST + OF + THE + LAST + TROLL + ALL + OFFER + THEIR + FIRE + HEAT + TO + THE + ASSISTERS + FAR + OFF + THE + TROLL + FASTS + ITS + LIFE + SHORTER + AS + STARS + RISE + THE + HORSES + REST + SAFE + AFTER + ALL + SHARE + HOT + FISH + AS + THEIR + AFFILIATES + TAILOR + A + ROOFS + FOR + THEIR + SAFE == FORTRESSES"

Finally

Have a good challenge idea?

Consider submitting it to /r/dailyprogrammer_ideas

[ariellebria]

Picture Brain Teasers And Answers #22 – The Hidden Panda Pills Puzzle

Can you find the hidden panda in the picture full of pills below?

ANSWER BELOW…

Another cool way to test your smarts is through using verbal math. Verbal arithmetic, also known as alphametics, cryptarithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters. The goal is to identify the value of each letter. The name can be extended to puzzles that use non-alphabetic symbols instead of letters.

The equation is typically a basic operation of arithmetic, such as addition, multiplication, or division. The classic example, published in the July 1924 issue of Strand Magazine by Henry Dudeney,[1] is:

{\displaystyle {\begin{matrix}&&{\text{S}}&{\text{E}}&{\text{N}}&{\text{D}}\+&&{\text{M}}&{\text{O}}&{\text{R}}&{\text{E}}\\hline =&{\text{M}}&{\text{O}}&{\text{N}}&{\text{E}}&{\text{Y}}\\end{matrix}}}

The solution to this puzzle is O = 0, M = 1, Y = 2, E = 5, N = 6, D = 7, R = 8, and S = 9.

Traditionally, each letter should represent a different digit, and (as in ordinary arithmetic notation) the leading digit of a multi-digit number must not be zero. A good puzzle should have a unique solution, and the letters should make up a phrase (as in the example above).

Verbal arithmetic can be useful as a motivation and source of exercises in the teaching of algebra.

from http://topfmradio.mu/index.php/2017/02/02/picture-brain-teasers-and-answers-22-the-hidden-panda-pills-puzzle/ from https://viralnews1.tumblr.com/post/156726118746

[allysonmayra]

Picture Brain Teasers And Answers #22 – The Hidden Panda Pills Puzzle

Can you find the hidden panda in the picture full of pills below?

  ANSWER BELOW…

  Another cool way to test your smarts is through using verbal math. Verbal arithmetic, also known as alphametics, cryptarithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters. The goal is to identify the value of each letter. The name can be extended to puzzles that use non-alphabetic symbols instead of letters.

The equation is typically a basic operation of arithmetic, such as addition, multiplication, or division. The classic example, published in the July 1924 issue of Strand Magazine by Henry Dudeney,[1] is:

{\displaystyle {\begin{matrix}&&{\text{S}}&{\text{E}}&{\text{N}}&{\text{D}}\\+&&{\text{M}}&{\text{O}}&{\text{R}}&{\text{E}}\\\hline =&{\text{M}}&{\text{O}}&{\text{N}}&{\text{E}}&{\text{Y}}\\\end{matrix}}}

The solution to this puzzle is O = 0, M = 1, Y = 2, E = 5, N = 6, D = 7, R = 8, and S = 9.

Traditionally, each letter should represent a different digit, and (as in ordinary arithmetic notation) the leading digit of a multi-digit number must not be zero. A good puzzle should have a unique solution, and the letters should make up a phrase (as in the example above).

Verbal arithmetic can be useful as a motivation and source of exercises in the teaching of algebra.

  From http://topfmradio.mu/index.php/2017/02/02/picture-brain-teasers-and-answers-22-the-hidden-panda-pills-puzzle/

from https://viralnews16.wordpress.com/2017/02/02/picture-brain-teasers-and-answers-22-the-hidden-panda-pills-puzzle/

[viralnews1]

Picture Brain Teasers And Answers #22 – The Hidden Panda Pills Puzzle

Can you find the hidden panda in the picture full of pills below?

  ANSWER BELOW…

  Another cool way to test your smarts is through using verbal math. Verbal arithmetic, also known as alphametics, cryptarithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters. The goal is to identify the value of each letter. The name can be extended to puzzles that use non-alphabetic symbols instead of letters.

The equation is typically a basic operation of arithmetic, such as addition, multiplication, or division. The classic example, published in the July 1924 issue of Strand Magazine by Henry Dudeney,[1] is:

{\displaystyle {\begin{matrix}&&{\text{S}}&{\text{E}}&{\text{N}}&{\text{D}}\\+&&{\text{M}}&{\text{O}}&{\text{R}}&{\text{E}}\\\hline =&{\text{M}}&{\text{O}}&{\text{N}}&{\text{E}}&{\text{Y}}\\\end{matrix}}}

The solution to this puzzle is O = 0, M = 1, Y = 2, E = 5, N = 6, D = 7, R = 8, and S = 9.

Traditionally, each letter should represent a different digit, and (as in ordinary arithmetic notation) the leading digit of a multi-digit number must not be zero. A good puzzle should have a unique solution, and the letters should make up a phrase (as in the example above).

Verbal arithmetic can be useful as a motivation and source of exercises in the teaching of algebra.

  from http://topfmradio.mu/index.php/2017/02/02/picture-brain-teasers-and-answers-22-the-hidden-panda-pills-puzzle/

[gobrainwiz]

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[gobrainwiz]

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