Absolute C++
Absolute C++
6th Edition
ISBN: 9780133970784
Author: Walter Savitch, Kenrick Mock
Publisher: Addison-Wesley
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Chapter 2, Problem 5PP

In cryptarithmetic puzzles, mathematical equations are written using letters. Each letter can be a digit from 0 to 9, but no two letters can be the same. Here is a sample problem:

SEND + MORE = MONEY

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

Write a program that finds solutions to the following cryptarithmetic puzzle:

TOO + TOO + TOO + TOO = GOOD

The simplest technique is to use a nested loop for each unique letter (in this case T, O, G, D). The loops would systematically assign the digits from 0 9 to each letter. For example, it might first try T = 0 , O = 0 , G = 0 , D = 0 , then T = 0 , O = 0 , G = 0 , D = 1 , then T = 0 , O = 0 , G = 0 , D = 2 , etc. up to T = 9 , O = 9 , G = 9 , D = 9. In the loop body, test that each variable is unique and that the equation is satisfied. Output the values for the letters that satisfy the equation.

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