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Added solution for problem 35
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@@ -32,7 +32,7 @@ enum BenchmarkOptions{runSpecific = 1, runAllShort, runAll, exit, size};
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export class Benchmark{
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private static tooLong: number[] = [14, 15, 23, 24, 25];
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private static tooLong: number[] = [14, 15, 23, 24, 25, 35];
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//The driver function for the benchmark selection
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public static benchmarkMenu(): void{
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let selection: BenchmarkOptions = BenchmarkOptions.size;
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@@ -57,14 +57,15 @@ import { Problem30 } from "./Problems/Problem30";
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import { Problem31 } from "./Problems/Problem31";
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import { Problem32 } from "./Problems/Problem32";
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import { Problem33 } from "./Problems/Problem33";
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import { Problem67 } from "./Problems/Problem67";
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import { Problem34 } from "./Problems/Problem34";
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import { Problem35 } from "./Problems/Problem35";
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import { Problem67 } from "./Problems/Problem67";
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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, 14, 15, 16, 17, 18, 19, 20,
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 67];
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 67];
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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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@@ -104,6 +105,7 @@ export class ProblemSelection{
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case 32: problem = new Problem32(); break;
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case 33: problem = new Problem33(); break;
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case 34: problem = new Problem34(); break;
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case 35: problem = new Problem35(); break;
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case 67: problem = new Problem67(); break;
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}
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return problem;
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138
Problems/Problem35.ts
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138
Problems/Problem35.ts
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@@ -0,0 +1,138 @@
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//ProjectEulerTS/Problems/Problem35.ts
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//Matthew Ellison
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// Created: 06-06-21
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//Modified: 06-06-21
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//How many circular primes are there below one million?
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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 { getPrimes } from "../../../Typescript/typescriptClasses/Algorithms";
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import { Unsolved } from "../Unsolved";
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import { Problem } from "./Problem";
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export class Problem35 extends Problem{
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//Variables
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//Static variables
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private static MAX_NUM: number = 999999; //The largest number that we are checking for primes
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//private static MAX_NUM: number = 100;
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//Instance variables
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private primes: number[]; //The primes below MAX_NUM
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private circularPrimes: number[]; //The circular primes below MAX_NUM
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//Functions
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//Returns a list of all rotations of a string passed to it
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private getRotations(str: string): string[]{
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let rotations: string[] = [];
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rotations.push(str);
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for(let cnt = 1;cnt < str.length;++cnt){
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str = str.substring(1) + str[0];
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rotations.push(str);
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}
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return rotations;
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}
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//Constructor
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public constructor(){
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super("How many circular primes are there below one million?");
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this.primes = [];
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this.circularPrimes = [];
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}
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//Operational functions
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//Solve the problem
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public solve(){
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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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//Get all primes under 1,000,000
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this.primes = getPrimes(Problem35.MAX_NUM);
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//Go through all primes, get all their rotations, and check if htose numbers are also primes
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for(let cnt = 0;cnt < this.primes.length;++cnt){
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let prime = this.primes[cnt];
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let allRotationsPrime: boolean = true;
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//Get all of the rotations of the prime and see if they are also prime
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let rotations: string[] = this.getRotations(prime.toString());
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for(let rotCnt = 0;rotCnt < rotations.length;++rotCnt){
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let rotation = rotations[rotCnt];
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let p: number = parseInt(rotation);
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if(!this.primes.includes(p)){
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allRotationsPrime = false;
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break;
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}
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}
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//If all rotations are prime add it to the list of circular primes
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if(allRotationsPrime){
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this.circularPrimes.push(prime);
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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(){
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super.reset();
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this.primes = [];
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this.circularPrimes = [];
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}
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//Gets
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//Returns a string with the solution to 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 of all circular prime numbers under ${Problem35.MAX_NUM} is ${this.circularPrimes.length}`;
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}
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//Returns the array of primes < MAX_NUM
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public getPrimes(): 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.primes;
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}
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//Returns the array of circular primes < MAX_NUM
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public getCircularPrimes(): 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.circularPrimes;
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}
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//Returns the number of circular primes < MAX_NUM
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public getNumCircularPrimes(): 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.circularPrimes.length;
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}
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}
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/* Results:
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The number of all circular prime numbers under 999999 is 55
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It took an average of 7.204 seconds to run this problem through 100 iterations
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*/
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