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Added solution to problem 4
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@@ -27,7 +27,8 @@ using System.Collections.Generic;
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namespace ProjectEulerCS{
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public class ProblemSelection{
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//Holds the valid problem numbers
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private static readonly List<int> _PROBLEM_NUMBERS = new List<int>() { 0, 1, 2, 3 };
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private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
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{0, 1, 2, 3, 4};
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public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
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get { return _PROBLEM_NUMBERS; }
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}
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@@ -39,6 +40,7 @@ namespace ProjectEulerCS{
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case 1: problem = new Problem1(); break;
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case 2: problem = new Problem2(); break;
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case 3: problem = new Problem3(); break;
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case 4: problem = new Problem4(); break;
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}
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return problem;
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}
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111
ProjectEulerCS/Problems/Problem4.cs
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111
ProjectEulerCS/Problems/Problem4.cs
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@@ -0,0 +1,111 @@
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//ProjectEuler/ProjectEulerCS/src/Problems/Problem4.cs
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//Matthew Ellison
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// Created: 08-23-20
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//Modified: 08-23-20
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//Find the largest palindrome made from the product of two 3-digit numbers
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/CSClasses
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/*
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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using System.Collections.Generic;
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using System.Linq;
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namespace ProjectEulerCS{
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public class Problem4 : Problem{
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//Variables
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//Static variables
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private const int START_NUM = 100; //The first number to be multiplied
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private const int END_NUM = 999; //The last number to be multiplied
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//Instace variable
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private List<int> _palindromes; //Holds all numbers that turn out to be palindromes
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public List<int> palindromes{
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get{
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if(!solved){
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throw new Unsolved();
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}
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return _palindromes;
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}
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}
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public int largestPalindrom{
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get{
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if(!solved){
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throw new Unsolved();
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}
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return _palindromes[_palindromes.Count - 1];
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}
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}
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//Constructor
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public Problem4() : base("Find the largest palindrome made from the product of two 3-digit numbers"){
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_palindromes = new List<int>();
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}
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//Operational funcitons
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//SOlve the problem
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public override void solve(){
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//If the problem has already been solved do nothing and end the function
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if(solved){
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return;
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}
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//Start the timer
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_timer.start();
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//Start at the first 3-digit number and check every one up to the last 3-digit number
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for(int firstNum = START_NUM;firstNum <= END_NUM;++firstNum){
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//You can start at the location of the first number because everything before that has already been tested. (100 * 101 == 101 * 100)
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for(int secondNum = firstNum;secondNum < END_NUM;++secondNum){
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//Get the product
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int product = firstNum * secondNum;
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//Change the number into a string
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string productString = product.ToString();
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//Reverse the string
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string reverseString = new string(productString.ToCharArray().Reverse().ToArray());
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//If the number and it's reverse are the same it is a palindrom so add it to the list
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if(productString == reverseString){
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_palindromes.Add(product);
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}
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//If it's not a palindrome ignore it and move to the next number
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}
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}
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//Sort the palindromes so that the last one is the largest
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_palindromes.Sort();
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//Stop the timer
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_timer.stop();
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//Throw a flag to show the problem is solved
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solved = true;
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//Save the results
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_result = "The largest palindrome is " + _palindromes[_palindromes.Count - 1];
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}
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//Reset the problem so it can be run again
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public override void reset(){
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base.reset();
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_palindromes.Clear();
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}
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}
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}
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/* Results:
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The largest palindrome is 906609
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It took an average of 51.682 milliseconds to run this problem through 100 iterations
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*/
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