mirror of
https://bitbucket.org/Mattrixwv/projecteulerts.git
synced 2025-12-06 17:43:59 -05:00
Added solution for problem 35
This commit is contained in:
138
Problems/Problem35.ts
Normal file
138
Problems/Problem35.ts
Normal file
@@ -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
|
||||
*/
|
||||
Reference in New Issue
Block a user