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Cryptarithm Solver

Tool to solve cryptarithms. A Cryptarithm is a numeric puzzle which consists in a mathematical equation in which letters are substituted by digits to recover.

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Cryptarithm Solver -

Tag(s) : Number Game,Arithmetics

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Cryptarithm Solver

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Cryptarithm/Alphametic Solving




Tool to solve cryptarithms. A Cryptarithm is a numeric puzzle which consists in a mathematical equation in which letters are substituted by digits to recover.

Answers to Questions

How to solve a Cryptarithm?

Alphametics solving involves deduction and use of calculation tricks. Usually, one has to remember the rules:

- Each letter can be associated to only one digit and reciprocally each digit can be associated to only one letter

If your calculation do not follow this rule, then use the missing numbershref solver.

- Numbers do not have leading zeroshref

One has to check for particular cases such as addition/subtraction with 0 or 9

??A+??A=??A then A is 0, idem for ??A+??B=??B

?A?+?A?=?A? then A is 0 or 9, same for ?A?+?B?=?B?

One can the seek for first numbers of last ones

???+???=A??? then A is 1 because it is impossible that the sum of 2 numbers inferiors to 1000 is superior to 1999.

Seek for multiplicationhref by 0, 1 or 5

Seek for divisions by 1 ou 5

Make attempts when there are few possibilities

etc.

How does the cryptarithm solver works?

dCode solver allow usual operators like additions +, subtractions -, multiplications * and divisions /. It also handles logical conditions like && = ET, || = OU and also comparators superior and inferior > and <.

The solver takes for unknown between 1 and 10 distinct letters.

A+A=B && B*C=AB is solved with 2+2==4 && 4*6==24

DCODE+CODING=SOLVED => 92095+209764==301859.

This alphametic solver uses a brute-force method, this means that it tries all combinationshref and displays the possible ones.

What is the definition of cryptarithmetics?

A cryptarithm is a number puzzle representing an arithmetical equation in which some or all of its digits has been replaced by lettershref or symbols. The goal is to find to which letter is corresponds. Alphametics is also used when the letters forms a real word.

Why SEND+MORE=MONEY?

It is the most known example, published in 1924 in Strand Magazine, by Henry Dudeney : S E N D + M O R E = M O N E Y . Solution is O=0, M=1, Y=2, E=5, N=6, D=7, R=8, and S=9.

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Source code

dCode retains ownership of the source code of the script Cryptarithm Solver. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Cryptarithm Solver script for offline use, for you, your company or association, see you on contact page !

Questions / Comments


Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Cryptarithm Solver tool. Thank you.


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