Added solution for problem 35

This commit is contained in:
2021-06-06 12:19:17 -04:00
parent 0866991451
commit cdaa1807ab
3 changed files with 143 additions and 3 deletions

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@@ -32,7 +32,7 @@ enum BenchmarkOptions{runSpecific = 1, runAllShort, runAll, exit, size};
export class Benchmark{
private static tooLong: number[] = [14, 15, 23, 24, 25];
private static tooLong: number[] = [14, 15, 23, 24, 25, 35];
//The driver function for the benchmark selection
public static benchmarkMenu(): void{
let selection: BenchmarkOptions = BenchmarkOptions.size;

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@@ -57,14 +57,15 @@ import { Problem30 } from "./Problems/Problem30";
import { Problem31 } from "./Problems/Problem31";
import { Problem32 } from "./Problems/Problem32";
import { Problem33 } from "./Problems/Problem33";
import { Problem67 } from "./Problems/Problem67";
import { Problem34 } from "./Problems/Problem34";
import { Problem35 } from "./Problems/Problem35";
import { Problem67 } from "./Problems/Problem67";
export class ProblemSelection{
//Holds the valid problem numbers
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,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 67];
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 67];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -104,6 +105,7 @@ export class ProblemSelection{
case 32: problem = new Problem32(); break;
case 33: problem = new Problem33(); break;
case 34: problem = new Problem34(); break;
case 35: problem = new Problem35(); break;
case 67: problem = new Problem67(); break;
}
return problem;

138
Problems/Problem35.ts Normal file
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@@ -0,0 +1,138 @@
//ProjectEulerTS/Problems/Problem35.ts
//Matthew Ellison
// Created: 06-06-21
//Modified: 06-06-21
//How many circular primes are there below one million?
//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 { getPrimes } from "../../../Typescript/typescriptClasses/Algorithms";
import { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem35 extends Problem{
//Variables
//Static variables
private static MAX_NUM: number = 999999; //The largest number that we are checking for primes
//private static MAX_NUM: number = 100;
//Instance variables
private primes: number[]; //The primes below MAX_NUM
private circularPrimes: number[]; //The circular primes below MAX_NUM
//Functions
//Returns a list of all rotations of a string passed to it
private getRotations(str: string): string[]{
let rotations: string[] = [];
rotations.push(str);
for(let cnt = 1;cnt < str.length;++cnt){
str = str.substring(1) + str[0];
rotations.push(str);
}
return rotations;
}
//Constructor
public constructor(){
super("How many circular primes are there below one million?");
this.primes = [];
this.circularPrimes = [];
}
//Operational functions
//Solve the problem
public solve(){
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Start the timer
this.timer.start();
//Get all primes under 1,000,000
this.primes = getPrimes(Problem35.MAX_NUM);
//Go through all primes, get all their rotations, and check if htose numbers are also primes
for(let cnt = 0;cnt < this.primes.length;++cnt){
let prime = this.primes[cnt];
let allRotationsPrime: boolean = true;
//Get all of the rotations of the prime and see if they are also prime
let rotations: string[] = this.getRotations(prime.toString());
for(let rotCnt = 0;rotCnt < rotations.length;++rotCnt){
let rotation = rotations[rotCnt];
let p: number = parseInt(rotation);
if(!this.primes.includes(p)){
allRotationsPrime = false;
break;
}
}
//If all rotations are prime add it to the list of circular primes
if(allRotationsPrime){
this.circularPrimes.push(prime);
}
}
//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(){
super.reset();
this.primes = [];
this.circularPrimes = [];
}
//Gets
//Returns a string with the solution to the problem
public getResult(): string{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return `The number of all circular prime numbers under ${Problem35.MAX_NUM} is ${this.circularPrimes.length}`;
}
//Returns the array of primes < MAX_NUM
public getPrimes(): number[]{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.primes;
}
//Returns the array of circular primes < MAX_NUM
public getCircularPrimes(): number[]{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.circularPrimes;
}
//Returns the number of circular primes < MAX_NUM
public getNumCircularPrimes(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.circularPrimes.length;
}
}
/* Results:
The number of all circular prime numbers under 999999 is 55
It took an average of 7.204 seconds to run this problem through 100 iterations
*/