Added solution to problem 37

This commit is contained in:
2021-07-02 00:47:32 -04:00
parent e517cf63a4
commit ad2e948a42
3 changed files with 173 additions and 2 deletions

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@@ -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;

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@@ -1,4 +1,4 @@
//ProjectEulerTs/Problems/Problem36.ts
//ProjectEulerTS/Problems/Problem36.ts
//Matthew Ellison
// Created: 06-29-21
//Modified: 06-29-21

169
Problems/Problem37.ts Normal file
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@@ -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 <https://www.gnu.org/licenses/>.
*/
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
*/