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Added solution to problem 12
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@@ -35,11 +35,12 @@ import { Problem8 } from "./Problems/Problem8";
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import { Problem9 } from "./Problems/Problem9";
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import { Problem10 } from "./Problems/Problem10";
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import { Problem11 } from "./Problems/Problem11";
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import { Problem12 } from "./Problems/Problem12";
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export class ProblemSelection{
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//Holds the valid problem numbers
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11];
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12];
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//Returns the problem corresponding to the given problem number
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public static getProblem(problemNumber: number): Problem{
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@@ -56,6 +57,7 @@ export class ProblemSelection{
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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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135
Problems/Problem12.ts
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135
Problems/Problem12.ts
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@@ -0,0 +1,135 @@
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//ProjectEulerTS/Problems/Problem12.ts
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//Matthew Ellison
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// Created: 03-26-21
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//Modified: 03-26-21
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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/typescriptClasses
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/*
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Copyright (C) 2021 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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import { Problem } from "./Problem";
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import { Unsolved } from "../Unsolved";
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import { getDivisors } from "../../../Typescript/typescriptClasses/Algorithms";
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export class Problem12 extends Problem{
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//Variables
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//Static variables
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private static GOAL_DIVISORS: number = 500;
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//Instance variables
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private sum: number; //The sum of the numbers up to counter
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private counter: number; //The next number to be added to sum
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private divisors: number[]; //Holds the divisors of teh triangular number sum
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//Functions
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//Constructor
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public constructor(){
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super(`What is the value of the first triangle number to have over ${Problem12.GOAL_DIVISORS} divisors?`);
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this.sum = 1;
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this.counter = 2;
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this.divisors = [];
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}
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//Operational functions
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//Solve the problem
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public solve(): void{
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//If the problem has already been solved do nothing and end the function
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if(this.solved){
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return;
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}
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//Setup the other variables
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let foundNumber: boolean = false; //To flag whether the number has been found
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//Start the timer
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this.timer.start();
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//Loop until you find the appropriate number
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while((!foundNumber) && (this.sum > 0)){
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this.divisors = getDivisors(this.sum);
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//If the number of divisors is correct set the flag
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if(this.divisors.length > Problem12.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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this.sum += this.counter;
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++this.counter;
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}
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}
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//Stop the timer
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this.timer.stop();
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//Throw a flag to show the problem is solved
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this.solved = true;
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}
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//Reset the problem so it can be run again
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public reset(): void{
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super.reset();
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this.sum = 1;
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this.counter = 2;
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this.divisors = [];
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}
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//Gets
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//Returns the result of solving the problem
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public getResult(): string{
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//If the problem hasn't bee solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return `The triangular number ${this.sum} is the sum of all numbers >= ${this.counter - 1} and has ${this.divisors.length} divisors`;
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}
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//Returns the triangular number
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public getTriangularNumber(): number{
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//If the problem hasn't bee solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.sum;
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}
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//Get the final number that was added to the triangular number
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public getLastNumberAdded(): number{
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//If the problem hasn't bee solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.counter - 1;
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}
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//Returns the list of divisors of the requested number
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public getDivisorsOfTriangularNumber(): number[]{
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//If the problem hasn't bee solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.divisors;
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}
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//Returns the number of divisors of the requested number
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public getNumberOfDivisors(): number{
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//If the problem hasn't bee solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.divisors.length;
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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 numbers >= 12375 and has 576 divisors
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It took an average of 301.951 milliseconds to run this problem through 100 iterations
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*/
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