Added solution to problem 36

This commit is contained in:
2021-06-29 16:15:24 -04:00
parent cdaa1807ab
commit e517cf63a4
3 changed files with 116 additions and 2 deletions

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@@ -59,13 +59,14 @@ import { Problem32 } from "./Problems/Problem32";
import { Problem33 } from "./Problems/Problem33";
import { Problem34 } from "./Problems/Problem34";
import { Problem35 } from "./Problems/Problem35";
import { Problem36 } from "./Problems/Problem36";
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, 67];
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 67];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -106,6 +107,7 @@ export class ProblemSelection{
case 33: problem = new Problem33(); break;
case 34: problem = new Problem34(); break;
case 35: problem = new Problem35(); break;
case 36: problem = new Problem36(); break;
case 67: problem = new Problem67(); break;
}
return problem;

View File

@@ -31,7 +31,6 @@ 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

113
Problems/Problem36.ts Normal file
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@@ -0,0 +1,113 @@
//ProjectEulerTs/Problems/Problem36.ts
//Matthew Ellison
// Created: 06-29-21
//Modified: 06-29-21
//Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.
//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, isPalindrome, toBin } from "../../../Typescript/typescriptClasses/Algorithms";
import { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem36 extends Problem{
//Variables
//Static variables
private static MAX_NUM: number = 999999; //The largest number that will be checked
//Instance variables
private palindromes: number[]; //All numbers that are aplindromes in base 10 and 2
private sum: number; //The sum of all elements in the list of palindromes
//Functions
//Constructor
public constructor(){
super("Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.");
this.palindromes = [];
this.sum = 0;
}
//Operational functions
//Solve the problems
public solve(): void{
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Start the timer
this.timer.start();
//Start with 1, check if it is a palindrome in base 10 and 2, and continue to MAX_NUM
for(let num = 1;num < Problem36.MAX_NUM;++num){
//Check if num is a palindrome
if(isPalindrome(num.toString())){
//Convert num to base 2 and see if that is a palindrome
let binNum: string = toBin(num);
if(isPalindrome(binNum)){
//Add num to the list of palindromes
this.palindromes.push(num);
}
}
}
//Get the sum of all palindromes in the list
this.sum = getSum(this.palindromes);
//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.palindromes = [];
this.sum = 0;
}
//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 sum of all base 10 and base 2 palindromic numbers < ${Problem36.MAX_NUM} is ${this.sum}`;
}
//Return the array of palindromes < MAX_NUM
public getPalindromes(){
//If the porblem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.palindromes;
}
//Returns the sum of all elements in the array of palindromes
public getSumOfPalindromes(){
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.sum;
}
}
/* Results:
The sum of all base 10 and base 2 palindromic numbers < 999999 is 872187
It took an average of 297.957 milliseconds to run this problem through 100 iterations
*/