mirror of
https://bitbucket.org/Mattrixwv/projecteulerts.git
synced 2025-12-06 17:43:59 -05:00
Added solution to problem 4
This commit is contained in:
@@ -27,11 +27,12 @@ import { Problem } from "./Problems/Problem";
|
|||||||
import { Problem1 } from "./Problems/Problem1";
|
import { Problem1 } from "./Problems/Problem1";
|
||||||
import { Problem2 } from "./Problems/Problem2";
|
import { Problem2 } from "./Problems/Problem2";
|
||||||
import { Problem3 } from "./Problems/Problem3";
|
import { Problem3 } from "./Problems/Problem3";
|
||||||
|
import { Problem4 } from "./Problems/Problem4";
|
||||||
|
|
||||||
|
|
||||||
export class ProblemSelection{
|
export class ProblemSelection{
|
||||||
//Holds the valid problem numbers
|
//Holds the valid problem numbers
|
||||||
public static PROBLEM_NUMBERS: number[] = [1, 2, 3];
|
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4];
|
||||||
|
|
||||||
//Returns the problem corresponding to the given problem number
|
//Returns the problem corresponding to the given problem number
|
||||||
public static getProblem(problemNumber: number): Problem{
|
public static getProblem(problemNumber: number): Problem{
|
||||||
@@ -40,6 +41,7 @@ export class ProblemSelection{
|
|||||||
case 1 : problem = new Problem1(); break;
|
case 1 : problem = new Problem1(); break;
|
||||||
case 2 : problem = new Problem2(); break;
|
case 2 : problem = new Problem2(); break;
|
||||||
case 3 : problem = new Problem3(); break;
|
case 3 : problem = new Problem3(); break;
|
||||||
|
case 4 : problem = new Problem4(); break;
|
||||||
}
|
}
|
||||||
return problem;
|
return problem;
|
||||||
}
|
}
|
||||||
|
|||||||
113
Problems/Problem4.ts
Normal file
113
Problems/Problem4.ts
Normal file
@@ -0,0 +1,113 @@
|
|||||||
|
//ProjectEulerTS/Problems/Problem4.ts
|
||||||
|
//Matthew Ellison
|
||||||
|
// Created: 10-24-20
|
||||||
|
//Modified: 10-24-20
|
||||||
|
//Find the largest palindrome made from the product of two 3-digit numbers
|
||||||
|
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
|
||||||
|
/*
|
||||||
|
Copyright (C) 2020 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 { Problem } from "./Problem";
|
||||||
|
import { Unsolved } from "../Unsolved";
|
||||||
|
|
||||||
|
|
||||||
|
export class Problem4 extends Problem{
|
||||||
|
//Variables
|
||||||
|
//Static variables
|
||||||
|
private static START_NUM: number = 100; //The first number to be multiplied
|
||||||
|
private static END_NUM: number = 999; //The last number to be multiplied
|
||||||
|
//Instance variables
|
||||||
|
private palindromes: number[]; //Holds all number that turn out to be palindromes
|
||||||
|
|
||||||
|
//Constructor
|
||||||
|
public constructor(){
|
||||||
|
super("Find the largest palindrome made from the product of two 3-digit numbers");
|
||||||
|
}
|
||||||
|
//Operational functions
|
||||||
|
//Solve the problem
|
||||||
|
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 at the first 3-digit number and check every one up to the last 3-digit number
|
||||||
|
for(let firstNum: number = Problem4.START_NUM;firstNum <= Problem4.END_NUM;++firstNum){
|
||||||
|
//You can start at the location of the first number because everything before that has already been tested. (100 * 101 == 101 * 100)
|
||||||
|
for(let secondNum = firstNum;secondNum < Problem4.END_NUM;++secondNum){
|
||||||
|
//Get the product
|
||||||
|
let product: number = firstNum * secondNum;
|
||||||
|
//Change the number into a string
|
||||||
|
let productString: string = product.toString();
|
||||||
|
//Reverse the string
|
||||||
|
let reverseString: string = productString.split("").reverse().join("");
|
||||||
|
|
||||||
|
//If the number and it's reverse are the same it is a palindrome so add it to the list
|
||||||
|
if(productString == reverseString){
|
||||||
|
this.palindromes.push(product);
|
||||||
|
}
|
||||||
|
//If it's not a palindrome ignore it and move to the next number
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
//Sort the palindromes so that the last one is the largest
|
||||||
|
this.palindromes = this.palindromes.sort((n1, n2) => n1 - n2);
|
||||||
|
|
||||||
|
//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 = [];
|
||||||
|
}
|
||||||
|
//Gets
|
||||||
|
//Returns the result of solving the problem
|
||||||
|
public getResult(): string{
|
||||||
|
if(!this.solved){
|
||||||
|
throw new Unsolved();
|
||||||
|
}
|
||||||
|
return `The largest palindrome is ${this.palindromes[this.palindromes.length - 1]}`;
|
||||||
|
}
|
||||||
|
//Returns the list of all palindromes
|
||||||
|
public getPalindromes(): number[]{
|
||||||
|
if(!this.solved){
|
||||||
|
throw new Unsolved();
|
||||||
|
}
|
||||||
|
return this.palindromes;
|
||||||
|
}
|
||||||
|
//Returns the largest palindrome
|
||||||
|
public getLargestPalindrome(): number{
|
||||||
|
if(!this.solved){
|
||||||
|
throw new Unsolved();
|
||||||
|
}
|
||||||
|
return this.palindromes[this.palindromes.length - 1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Results:
|
||||||
|
The largest palindrome is 906609
|
||||||
|
It took an average of 121.130 milliseconds to run this problem through 100 iterations
|
||||||
|
*/
|
||||||
Reference in New Issue
Block a user