Added solution to problem 12

This commit is contained in:
2021-03-26 13:38:54 -04:00
parent 34ec8be7c5
commit f56540a670
2 changed files with 138 additions and 1 deletions

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@@ -35,11 +35,12 @@ import { Problem8 } from "./Problems/Problem8";
import { Problem9 } from "./Problems/Problem9";
import { Problem10 } from "./Problems/Problem10";
import { Problem11 } from "./Problems/Problem11";
import { Problem12 } from "./Problems/Problem12";
export class ProblemSelection{
//Holds the valid problem numbers
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11];
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -56,6 +57,7 @@ export class ProblemSelection{
case 9 : problem = new Problem9(); break;
case 10: problem = new Problem10(); break;
case 11: problem = new Problem11(); break;
case 12: problem = new Problem12(); break;
}
return problem;
}

135
Problems/Problem12.ts Normal file
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@@ -0,0 +1,135 @@
//ProjectEulerTS/Problems/Problem12.ts
//Matthew Ellison
// Created: 03-26-21
//Modified: 03-26-21
//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/typescriptClasses
/*
Copyright (C) 2021 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/>.
*/
import { Problem } from "./Problem";
import { Unsolved } from "../Unsolved";
import { getDivisors } from "../../../Typescript/typescriptClasses/Algorithms";
export class Problem12 extends Problem{
//Variables
//Static variables
private static GOAL_DIVISORS: number = 500;
//Instance variables
private sum: number; //The sum of the numbers up to counter
private counter: number; //The next number to be added to sum
private divisors: number[]; //Holds the divisors of teh triangular number sum
//Functions
//Constructor
public constructor(){
super(`What is the value of the first triangle number to have over ${Problem12.GOAL_DIVISORS} divisors?`);
this.sum = 1;
this.counter = 2;
this.divisors = [];
}
//Operational functions
//Solve the problem
public solve(): void{
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Setup the other variables
let foundNumber: boolean = false; //To flag whether the number has been found
//Start the timer
this.timer.start();
//Loop until you find the appropriate number
while((!foundNumber) && (this.sum > 0)){
this.divisors = getDivisors(this.sum);
//If the number of divisors is correct set the flag
if(this.divisors.length > Problem12.GOAL_DIVISORS){
foundNumber = true;
}
//Otherwise add to the sum and increase the next number
else{
this.sum += this.counter;
++this.counter;
}
}
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem is solved
this.solved = true;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.sum = 1;
this.counter = 2;
this.divisors = [];
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
//If the problem hasn't bee solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return `The triangular number ${this.sum} is the sum of all numbers >= ${this.counter - 1} and has ${this.divisors.length} divisors`;
}
//Returns the triangular number
public getTriangularNumber(): number{
//If the problem hasn't bee solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.sum;
}
//Get the final number that was added to the triangular number
public getLastNumberAdded(): number{
//If the problem hasn't bee solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.counter - 1;
}
//Returns the list of divisors of the requested number
public getDivisorsOfTriangularNumber(): number[]{
//If the problem hasn't bee solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.divisors;
}
//Returns the number of divisors of the requested number
public getNumberOfDivisors(): number{
//If the problem hasn't bee solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.divisors.length;
}
}
/* Results
The triangular number 76576500 is the sum of all numbers >= 12375 and has 576 divisors
It took an average of 301.951 milliseconds to run this problem through 100 iterations
*/