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Added solution to problem 12
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@@ -31,7 +31,7 @@ namespace ProjectEulerCS{
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//Holds the valid problem numbers
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private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
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10, 11};
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10, 11, 12};
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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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@@ -51,6 +51,7 @@ namespace ProjectEulerCS{
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case 9: problem = new Problem9(); break;
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case 10: problem = new Problem10(); break;
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case 11: problem = new Problem11(); break;
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case 12: problem = new Problem12(); break;
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}
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return problem;
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}
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128
ProjectEulerCS/Problems/Problem12.cs
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128
ProjectEulerCS/Problems/Problem12.cs
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@@ -0,0 +1,128 @@
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//ProjectEuler/ProjectEulerCS/src/Problems/Problem12.cs
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//Matthew Ellison
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// Created: 08-24-20
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//Modified: 08-24-20
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//What is the value of the first triangle number to have over five hundred divisors?
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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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namespace ProjectEulerCS.Problems{
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public class Problem12 : Problem{
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//Variables
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//Static variables
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private const int GOAL_DIVISORS = 500;
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//Instance variables
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private long sum; //The sum of the numbers up to counter
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private long counter; //The next number to be added to sum
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private List<long> divisors; //Holds the divisors of the triangular number sum
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public long TriangularNumber{
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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 sum;
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}
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}
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public long LastNumberAdded{
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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 counter - 1;
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}
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}
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public List<long> DivisorsOfTriangularNumber{
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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 divisors;
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}
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}
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public int NumberOfDivisors{
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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 divisors.Count;
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}
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}
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//Functions
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//Constructor
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public Problem12() : base("What is the value of the first triangle number to have over five hundred divisors?"){
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sum = 1;
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counter = 2;
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divisors = new List<long>();
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}
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//Operational functions
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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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//Setup the other variables
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bool foundNumber = false; //To flag whether the number has been found
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//Start the timer
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_timer.start();
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//Loop until you fin the appropriate number
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while((!foundNumber) && (sum > 0)){
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divisors = mee.Algorithms.getDivisors(sum);
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//If the number of divisors is correct set the flag
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if(divisors.Count > GOAL_DIVISORS){
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foundNumber = true;
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}
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//Otherwise add to the sum and increase the next number
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else{
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sum += counter;
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++counter;
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}
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}
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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 sovled
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solved = true;
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//Save the results
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_result = "The triangular number " + sum + " is the sum of all number >= " + (counter - 1) + " and has " + divisors.Count + " divisors";
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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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sum = 1;
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counter = 2;
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divisors.Clear();
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}
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}
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}
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/* Results:
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The triangular number 76576500 is the sum of all number >= 12375 and has 576 divisors
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It took an average of 270.496 milliseconds to run this problem through 100 iterations
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*/
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