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Added solution to problem 9
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@@ -32,11 +32,12 @@ import { Problem5 } from "./Problems/Problem5";
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import { Problem6 } from "./Problems/Problem6";
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import { Problem6 } from "./Problems/Problem6";
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import { Problem7 } from "./Problems/Problem7";
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import { Problem7 } from "./Problems/Problem7";
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import { Problem8 } from "./Problems/Problem8";
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import { Problem8 } from "./Problems/Problem8";
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import { Problem9 } from "./Problems/Problem9";
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export class ProblemSelection{
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export class ProblemSelection{
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//Holds the valid problem numbers
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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];
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9];
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//Returns the problem corresponding to the given problem number
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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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public static getProblem(problemNumber: number): Problem{
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@@ -50,6 +51,7 @@ export class ProblemSelection{
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case 6 : problem = new Problem6(); break;
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case 6 : problem = new Problem6(); break;
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case 7 : problem = new Problem7(); break;
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case 7 : problem = new Problem7(); break;
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case 8 : problem = new Problem8(); break;
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case 8 : problem = new Problem8(); break;
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case 9 : problem = new Problem9(); 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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}
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}
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145
Problems/Problem9.ts
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145
Problems/Problem9.ts
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@@ -0,0 +1,145 @@
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//ProjectEulerTS/Problems/Problem9.ts
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//Matthew Ellison
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// Created: 03-24-21
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//Modified: 03-24-21
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//There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
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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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export class Problem9 extends Problem{
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//Variables
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//Static variables
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private static GOAL_SUM: number = 1000; //The number that we want the sum of a, b, and c to equal
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//Instance variables
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private a: number; //The size of the first side
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private b: number; //The size of the second side
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private c: number; //The size of the hyp
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private found: boolean; //A flag to determine if we have found the solution yet
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//Functions
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//Constructor
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public constructor(){
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super(`There exists exactly one Pythagorean triplet for which a + b + c = ${Problem9.GOAL_SUM}. Find the product abc.`);
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this.a = 1;
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this.b = 0;
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this.c = 0;
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this.found = false;
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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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//Start the timer
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this.timer.start();
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//Loop through all possible a's
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while((this.a < Problem9.GOAL_SUM) && (!this.found)){
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this.b = this.a + 1; //b must be larger than a
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this.c = Math.hypot(this.a, this.b); //Compute the hyp
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//Loop through all possible b's for this a
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while((this.a + this.b + this.c) < Problem9.GOAL_SUM){
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++this.b;
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this.c = Math.hypot(this.a, this.b);
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}
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//If the sum == 1000 you found the number, otherwise go to the next possible a
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if((this.a + this.b + this.c) == Problem9.GOAL_SUM){
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this.found = true;
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}
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else{
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++this.a;
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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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if(this.found){
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this.solved = true;
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}
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else{
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throw new Unsolved("The problem was not solved!");
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}
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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.a = 1;
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this.b = 0;
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this.c = 0;
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this.found = false;
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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 been 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 Pythagorean triplet is ${this.a} + ${this.b} + ${this.c}\nThe numbers' product is ${this.getProduct()}`;
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}
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//Returns the length of the first side
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public getSideA(): number{
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//If the problem hasn't been 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.a;
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}
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//Returns the length of the second side
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public getSideB(): number{
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//If the problem hasn't been 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.b;
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}
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//Returns the length of the hyp
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public getSideC(): number{
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//If the problem hasn't been 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.c;
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}
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//Returns the product of the 3 sides
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public getProduct(): number{
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//If the problem hasn't been 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.a * this.b * this.c;
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}
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}
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/* Results:
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The Pythagorean triplet is 200 + 375 + 425
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The numbers' product is 31875000
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It took an average of 2.191 milliseconds to run this problem through 100 iterations
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*/
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