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Added solution to problem14
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@@ -37,11 +37,12 @@ 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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import { Problem13 } from "./Problems/Problem13";
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import { Problem14 } from "./Problems/Problem14";
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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, 12, 13];
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public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14];
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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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@@ -60,6 +61,7 @@ export class ProblemSelection{
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case 11: problem = new Problem11(); break;
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case 12: problem = new Problem12(); break;
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case 13: problem = new Problem13(); break;
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case 14: problem = new Problem14(); break;
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}
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return problem;
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}
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129
Problems/Problem14.ts
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129
Problems/Problem14.ts
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@@ -0,0 +1,129 @@
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//ProjectEulerTS/Problems/Problem14.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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/*
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The following iterative sequence is defined for the set of positive integers:
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n → n/2 (n is even)
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n → 3n + 1 (n is odd)
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Which starting number, under one million, produces the longest chain?
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*/
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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 { Unsolved } from "../Unsolved";
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import { Problem } from "./Problem";
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export class Problem14 extends Problem{
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//Variables
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//Static variables
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private static MAX_NUM: number = 1000000 - 1; //This is the top number that you will be checking against the series
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//Instance variables
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private maxLength: number; //This is the length of the longest chain
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private maxNum: number; //This is the starting number of the longest chain
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//Functions
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//Constructor
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public constructor(){
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super(`Which starting number, under ${Problem14.MAX_NUM + 1}, produces the longest chain using the iterative sequence?`);
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this.maxLength = 0;
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this.maxNum = 0;
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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 numbers <= MAX_NUM and check them against the series
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for(let currentNum = 1;currentNum <= Problem14.MAX_NUM;++currentNum){
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let currentLength: number = this.checkSeries(currentNum);
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//If the current number has a longer series than the max then the current becomes the max
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if(currentLength > this.maxLength){
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this.maxLength = currentLength;
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this.maxNum = currentNum;
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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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//This function follows the rules of the sequence and returns its length
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private checkSeries(num: number): number{
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let length: number = 1; //Start at 1 because you need to count the starting number
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//Follow the series, adding 1 for each step you take
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while(num > 1){
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if((num % 2) == 0){
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num /= 2;
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}
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else{
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num = (3 * num) + 1;
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}
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++length;
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}
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//Returns the length of the series
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return length;
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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.maxLength = 0;
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this.maxNum = 0;
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}
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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 number ${this.maxNum} produced a chain of ${this.maxLength} steps`;
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}
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//Returns the length of the requested chain
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public getLength(): 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.maxLength;
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}
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//Returns the starting number of the requested chain
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public getStartingNumber(): 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.maxNum;
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}
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}
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/* Results:
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The number 837799 produced a chain of 525 steps
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It took an average of 1.178 seconds to run this problem through 100 iterations
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*/
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