diff --git a/ProblemSelection.ts b/ProblemSelection.ts index 2d60297..dd589b3 100644 --- a/ProblemSelection.ts +++ b/ProblemSelection.ts @@ -60,13 +60,14 @@ import { Problem33 } from "./Problems/Problem33"; import { Problem34 } from "./Problems/Problem34"; import { Problem35 } from "./Problems/Problem35"; import { Problem36 } from "./Problems/Problem36"; +import { Problem37 } from "./Problems/Problem37"; 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, 35, 36, 67]; + 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 67]; //Returns the problem corresponding to the given problem number public static getProblem(problemNumber: number): Problem{ @@ -108,6 +109,7 @@ export class ProblemSelection{ case 34: problem = new Problem34(); break; case 35: problem = new Problem35(); break; case 36: problem = new Problem36(); break; + case 37: problem = new Problem37(); break; case 67: problem = new Problem67(); break; } return problem; diff --git a/Problems/Problem36.ts b/Problems/Problem36.ts index cbbe050..fd0aa41 100644 --- a/Problems/Problem36.ts +++ b/Problems/Problem36.ts @@ -1,4 +1,4 @@ -//ProjectEulerTs/Problems/Problem36.ts +//ProjectEulerTS/Problems/Problem36.ts //Matthew Ellison // Created: 06-29-21 //Modified: 06-29-21 diff --git a/Problems/Problem37.ts b/Problems/Problem37.ts new file mode 100644 index 0000000..4943016 --- /dev/null +++ b/Problems/Problem37.ts @@ -0,0 +1,169 @@ +//ProjectEulerTS/Problems/Problem37.ts +//Matthew Ellison +// Created: 07-01-21 +//Modified: 07-01-21 +//Find the sum of the only eleven primes that are both truncatable from left to right and right to left (2, 3, 5, and 7 are not counted). +//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 . +*/ + +import { getSum, isPrime, sieveOfEratosthenes } from "../../../Typescript/typescriptClasses/Algorithms"; +import { Unsolved } from "../Unsolved"; +import { Problem } from "./Problem"; + +export class Problem37 extends Problem{ + //Variables + //Static variables + private static LAST_PRIME_BEFORE_CHECK: number = 7; //The last prime before 11 since signle digit primes aren't checked + //Instance variables + private truncPrimes: number[]; + private sum: number; + + //Functions + //Constructor + public constructor(){ + super("Find the sum of the only eleven primes that are both truncatable from left to right and right to left (2, 3, 5, and 7 are not counted)."); + this.truncPrimes = []; + this.sum = 0; + } + //Operational functions + //Solve the problems + public solve(): void{ + //If the porblem has already been solved do nothing and end the function + if(this.solved){ + return; + } + + //Start the timer + this.timer.start(); + + //Create the sieve and get the first prime number + let sieve = sieveOfEratosthenes(); + let tempPrime = sieve.next().value; + let currentPrime: number = 0; + if(typeof tempPrime == "number"){ + currentPrime = tempPrime; + } + else{ + throw new Unsolved("Sieve overflowed") + } + while(currentPrime < Problem37.LAST_PRIME_BEFORE_CHECK){ + tempPrime = sieve.next().value; + if(typeof tempPrime == "number"){ + currentPrime = tempPrime; + } + else{ + throw new Unsolved("Sieve overflowed") + } + } + //Loop until truncPrimes contains 11 elements + while(this.truncPrimes.length < 11){ + let isTruncPrime: boolean = true; + //Get the next prime + tempPrime = sieve.next().value; + if(typeof tempPrime == "number"){ + currentPrime = tempPrime; + } + else{ + throw new Unsolved("Sieve overflowed") + } + //Conver the prime to a string + let primeString: string = currentPrime.toString(); + //If the string contains an even digit move to the next prime + for(let strLoc = 0;(strLoc < primeString.length) && (primeString[strLoc] == '2');++strLoc){ + //Allow 2 to be the first digit + if((strLoc == 0) && (primeString[strLoc] == '2')){ + continue; + } + if((primeString[strLoc] == '0') || (primeString[strLoc] == '2') || (primeString[strLoc] == '4') || (primeString[strLoc] == '6') || (primeString[strLoc] == '8')){ + isTruncPrime = false; + break; + } + } + //Start removing digits from the left and see if the number stays prime + if(isTruncPrime){ + for(let truncLoc = 1;(truncLoc < primeString.length) && (isTruncPrime);++truncLoc){ + //Create a substring of the prime, removing the needed digits from the left + let primeSubstring: string = primeString.substring(truncLoc); + //Convert the string to an int and see if the number is still prime + let newPrime: number = parseInt(primeSubstring); + if(!isPrime(newPrime)){ + isTruncPrime = false; + } + } + } + //Start removing digits from the right and see if the number stays prime + if(isTruncPrime){ + for(let truncLoc = 1;(truncLoc < primeString.length) && (isTruncPrime);++truncLoc){ + //Create a substring of the prime, removing the needed digits from the right + let primeSubstring: string = primeString.substring(0, primeString.length - truncLoc); + //Convert the string to an int and see if the number is still prime + let newPrime: number = parseInt(primeSubstring); + if(!isPrime(newPrime)){ + isTruncPrime = false; + } + } + } + //If the number remained prime through all operations add it to the vector + if(isTruncPrime){ + this.truncPrimes.push(currentPrime); + } + } + //Get the sum of all elements in the truncPrimes list + this.sum = getSum(this.truncPrimes); + + //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(): void{ + super.reset(); + this.truncPrimes = []; + this.sum = 0; + } + //Gets + //Returns a string with the solution to the problem + public getResult(): string{ + //If the problem hasn't been solve dthrow an exception + if(!this.solved){ + throw new Unsolved(); + } + return `The sum of all left and right truncatable primes is ${this.sum}`; + } + //Returns the list of primes that can be truncated + public getTruncatablePrimes(): number[]{ + if(!this.solved){ + throw new Unsolved(); + } + return this.truncPrimes; + } + //Returns the sum of all elements in truncPrimes + public getSumOfTruncatablePrimes(): number{ + if(!this.solved){ + throw new Unsolved(); + } + return this.sum; + } +} + +/* Results: +The sum of all left and right truncatable primes is 748317 +It took an average of 104.007 milliseconds to run this problem through 100 iterations +*/