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Added solution to problem 20
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@@ -1,7 +1,7 @@
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//ProjectEuler/ProjectEulerCS/src/ProblemSelection.cs
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//ProjectEuler/ProjectEulerCS/src/ProblemSelection.cs
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//Matthew Ellison
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//Matthew Ellison
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// Created: 08-21-20
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// Created: 08-21-20
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//Modified: 08-24-20
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//Modified: 08-27-20
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//This class holds all of the functions needed to handle a problem
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//This class holds all of the functions needed to handle a problem
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/*
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/*
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Copyright (C) 2020 Matthew Ellison
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Copyright (C) 2020 Matthew Ellison
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@@ -32,7 +32,7 @@ namespace ProjectEulerCS{
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private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
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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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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
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10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
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10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
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67};
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20, 67};
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public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
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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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get { return _PROBLEM_NUMBERS; }
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}
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}
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@@ -60,6 +60,7 @@ namespace ProjectEulerCS{
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case 17: problem = new Problem17(); break;
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case 17: problem = new Problem17(); break;
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case 18: problem = new Problem18(); break;
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case 18: problem = new Problem18(); break;
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case 19: problem = new Problem19(); break;
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case 19: problem = new Problem19(); break;
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case 20: problem = new Problem20(); break;
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case 67: problem = new Problem67(); break;
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case 67: problem = new Problem67(); break;
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}
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}
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return problem;
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return problem;
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113
ProjectEulerCS/Problems/Problem20.cs
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113
ProjectEulerCS/Problems/Problem20.cs
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@@ -0,0 +1,113 @@
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//ProjectEuler/ProjectEulerCS/src/Problems/Problem19.cs
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//Matthew Ellison
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// Created: 08-27-20
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//Modified: 08-27-20
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//What is the sum of the digits of 100!?
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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.Numerics;
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namespace ProjectEulerCS.Problems{
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public class Problem20 : Problem{
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//Variables
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//Static variables
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private const int TOP_NUM = 100; //The largest number that will be multiplied
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//Instance variables
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private BigInteger num; //Holds the number 100!
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public BigInteger Number{
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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 num;
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}
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}
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public string NumberString{
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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 num.ToString();
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}
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}
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private long sum; //THe sum of the digits of num
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public long Sum{
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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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//Functions
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//Constructor
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public Problem20() : base("What is the sum of the digits of 100!?"){
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num = 1;
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sum = 0;
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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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//Start the timer
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timer.Start();
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//Run through every number from 1 to 100 and multiply it by the current num to generate 100!
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for(int cnt = TOP_NUM;cnt > 1;--cnt){
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num *= cnt;
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}
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//Get a string of the number because it is easier to pull apart the individual characters
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string numString = num.ToString();
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//Run through every character in the string, convert it back to an integer and add it to the running sum
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for(int cnt = 0;cnt < numString.Length;++cnt){
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char digit = numString[cnt];
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sum += (long)char.GetNumericValue(digit);
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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 solved
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solved = true;
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//Save the results
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_result = TOP_NUM + "! = " + num + "\nThe sum of the digits is: " + sum;
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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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num = 1;
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sum = 0;
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}
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}
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}
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/* Results:
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100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
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The sum of the digits is: 648
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It took an average of 11.740 microseconds to run this problem through 100 iterations
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*/
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