Added solution to problem 12

This commit is contained in:
2020-08-24 13:30:00 -04:00
parent a0cd58f5ff
commit 7f748ef54f
2 changed files with 130 additions and 1 deletions

View File

@@ -31,7 +31,7 @@ namespace ProjectEulerCS{
//Holds the valid problem numbers //Holds the valid problem numbers
private static readonly List<int> _PROBLEM_NUMBERS = new List<int>() private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11}; 10, 11, 12};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{ public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; } get { return _PROBLEM_NUMBERS; }
} }
@@ -51,6 +51,7 @@ namespace ProjectEulerCS{
case 9: problem = new Problem9(); break; case 9: problem = new Problem9(); break;
case 10: problem = new Problem10(); break; case 10: problem = new Problem10(); break;
case 11: problem = new Problem11(); break; case 11: problem = new Problem11(); break;
case 12: problem = new Problem12(); break;
} }
return problem; return problem;
} }

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@@ -0,0 +1,128 @@
//ProjectEuler/ProjectEulerCS/src/Problems/Problem12.cs
//Matthew Ellison
// Created: 08-24-20
//Modified: 08-24-20
//What is the value of the first triangle number to have over five hundred divisors?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/CSClasses
/*
Copyright (C) 2020 Matthew Ellison
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
using System.Collections.Generic;
namespace ProjectEulerCS.Problems{
public class Problem12 : Problem{
//Variables
//Static variables
private const int GOAL_DIVISORS = 500;
//Instance variables
private long sum; //The sum of the numbers up to counter
private long counter; //The next number to be added to sum
private List<long> divisors; //Holds the divisors of the triangular number sum
public long TriangularNumber{
get{
if(!solved){
throw new Unsolved();
}
return sum;
}
}
public long LastNumberAdded{
get{
if(!solved){
throw new Unsolved();
}
return counter - 1;
}
}
public List<long> DivisorsOfTriangularNumber{
get{
if(!solved){
throw new Unsolved();
}
return divisors;
}
}
public int NumberOfDivisors{
get{
if(!solved){
throw new Unsolved();
}
return divisors.Count;
}
}
//Functions
//Constructor
public Problem12() : base("What is the value of the first triangle number to have over five hundred divisors?"){
sum = 1;
counter = 2;
divisors = new List<long>();
}
//Operational functions
//Solve the problem
public override void solve(){
//If the problem has already been solved do nothing and end the function
if(solved){
return;
}
//Setup the other variables
bool foundNumber = false; //To flag whether the number has been found
//Start the timer
_timer.start();
//Loop until you fin the appropriate number
while((!foundNumber) && (sum > 0)){
divisors = mee.Algorithms.getDivisors(sum);
//If the number of divisors is correct set the flag
if(divisors.Count > GOAL_DIVISORS){
foundNumber = true;
}
//Otherwise add to the sum and increase the next number
else{
sum += counter;
++counter;
}
}
//Stop the timer
_timer.stop();
//Throw a flag to show the problem is sovled
solved = true;
//Save the results
_result = "The triangular number " + sum + " is the sum of all number >= " + (counter - 1) + " and has " + divisors.Count + " divisors";
}
//Reset the problem so it can be run again
public override void reset(){
base.reset();
sum = 1;
counter = 2;
divisors.Clear();
}
}
}
/* Results:
The triangular number 76576500 is the sum of all number >= 12375 and has 576 divisors
It took an average of 270.496 milliseconds to run this problem through 100 iterations
*/