Пример #1
0
        //-----
        //A palindromic number reads the same both ways.
        //The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99.
        //Find the largest palindrome made from the product of two 3 - digit numbers.
        //-----

        public static int FindLargestPalindrome(int n)
        {
            int result = 0;
            int last   = 1;

            switch (n)
            {
            case 3:
            {
                last = 999; break;
            }

            default:
                break;
            }
            for (int i = 100; i <= last; i++)
            {
                int number3 = 0;
                for (int k = i; k <= last; k++)
                {
                    number3 = i * k;
                    if (Problem4.ItPalindromicNumber(number3))
                    {
                        if (number3 > result)
                        {
                            result = number3;
                        }
                    }
                }
            }
            return(result);
        }
Пример #2
0
        static void Main(string[] args)
        {
            Console.WriteLine("Enter the number of problem.");
            Console.Write("Problem number: ");
            int problemNumber = Convert.ToInt32(Console.ReadLine());

            switch (problemNumber)
            {
            case 1:
            {
                Console.WriteLine("Find the sum of all the multiples of 3 or 5 below 1000.");
                Console.WriteLine();
                Console.WriteLine("Enter the number between 1 and 1000.");
                Console.Write("Yuor number: ");
                int a = Convert.ToInt32(Console.ReadLine());
                Console.WriteLine("The Sum of all the multiples of 3 or 5 below {0}: {1}.", a, Problem1.SumOfDivision3and5(a));
                break;
            }

            case 2:
            {
                Console.WriteLine("By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.");
                Console.WriteLine();
                Console.WriteLine("Enter the number greater than 2.");
                Console.Write("Yuor number: ");
                int a = Convert.ToInt32(Console.ReadLine());
                Console.WriteLine("The sum of the even-valued Fibonacci nambers below {0}: {1}.", a, Problem2.SumOfEvenFibonacciNumbers(a));
                break;
            }

            case 3:
            {
                Console.WriteLine("What is the largest prime factor of the number n ?");
                Console.WriteLine();
                Console.WriteLine("Enter the number greater than 2.");
                Console.Write("Yuor number: ");
                long        a            = Convert.ToInt64(Console.ReadLine());
                List <long> PrameFactors = new List <long>();
                PrameFactors = Problem3.FindPrimeNumbers(a);
                Console.WriteLine("The primes factors of the number {0}:", a);
                Console.WriteLine();
                int lenght = PrameFactors.Count;
                if (lenght == 1)
                {
                    Console.WriteLine("{0}", PrameFactors[0]);
                }
                else
                {
                    for (int i = 0; i < lenght; i++)
                    {
                        if (i == 0)
                        {
                            Console.Write("{0}, ", PrameFactors[i]);
                        }
                        else if (i == (lenght - 1))
                        {
                            Console.WriteLine("{0}.", PrameFactors[i]);
                        }
                        else
                        {
                            Console.Write("{0}, ", PrameFactors[i]);
                        }
                    }
                }
                Console.WriteLine();
                Console.WriteLine("The largest prime factor of the number {0}: {1}.",
                                  a, Problem3.FindMaxNumber(PrameFactors));
                break;
            }

            case 4:
            {
                Console.WriteLine("Find the largest palindrome made from the product of two 3 - digit numbers.");
                Console.WriteLine();
                Console.WriteLine("Enter the number 3.");
                Console.Write("Yuor number: ");
                int n = Convert.ToInt32(Console.ReadLine());
                int largestpalindrome = Problem4.FindLargestPalindrome(n);
                Console.WriteLine("The largest palindrome made from the product of two 3 - digit numbers is {0}.", largestpalindrome);
                break;
            }

            case 6:
            {
                Console.WriteLine("Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.");
                Console.WriteLine();
                Console.WriteLine("Enter the number greater than 1.");
                Console.Write("Yuor number: ");
                int n = Convert.ToInt32(Console.ReadLine());
                Console.WriteLine("The difference between the sum of the squares of the first one hundred natural numbers and the square of the sum: {0}.",
                                  Problem6.SquereOfSumNaturalNumbers(n) - Problem6.SumOfSquaresNaturalNumbers(n));
                break;
            }

            case 7:
            {
                Console.WriteLine("What is the 10 001st prime number?");
                Console.WriteLine();
                Console.WriteLine("Enter the number greater than 1.");
                Console.Write("Yuor number: ");
                int n = Convert.ToInt32(Console.ReadLine());
                Console.WriteLine("The {0}st prime number: {1}.", n, Problem7.FindPrimeNumberN(n));
                break;
            }

            default:
                break;
            }
        }