Step by Step solution about How to resolve the algorithm Babbage problem step by step in the C++ programming language

This C++ program appears to be designed to find a specific number whose square ends with the digits 269696. It does this by incrementing a variable current and checking if the square of current ends with the desired digits. Here's a step-by-step breakdown of the code:

1. int current = 0;: Initializes an integer variable named current to 0. This variable will be used to iterate through numbers and find the one whose square satisfies the given condition.

2. while ((current * current) % 1000000 != 269696) { current++; }: This is the main loop of the program, where it continues to increment current until it finds a number whose square ends with 269696.

   • (current * current): Calculates the square of the current number.
   • (current * current) % 1000000: Takes the last six digits of the square.
   • != 269696: Checks if the last six digits are not equal to 269696.
   • current++: If the condition is not met, increments current by 1.

3. std::cout << "The square of " << current << " is " << (current * current) << "!";: Once the loop finds a number that meets the condition, this line prints a message to the console.

   • std::cout << ...: Prints the specified text and values to the console.
   • current: Prints the value of current.
   • (current * current): Calculates and prints the square of current.

4. return 0;: Indicates the end of the main function and the program's successful execution.

#include <iostream>

int main( ) {
   int current = 0 ;
   while ( ( current * current ) % 1000000 != 269696 ) 
      current++ ;
   std::cout << "The square of " << current << " is " << (current * current) << " !\n" ;
   return 0 ;
}