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Added solution to problem 32
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@@ -55,12 +55,13 @@ import { Problem28 } from "./Problems/Problem28";
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import { Problem29 } from "./Problems/Problem29";
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import { Problem30 } from "./Problems/Problem30";
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import { Problem31 } from "./Problems/Problem31";
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import { Problem32 } from "./Problems/Problem32";
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export class ProblemSelection{
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//Holds the valid problem numbers
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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,
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31];
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32];
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//Returns the problem corresponding to the given problem number
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public static getProblem(problemNumber: number): Problem{
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@@ -97,6 +98,7 @@ export class ProblemSelection{
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case 29: problem = new Problem29(); break;
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case 30: problem = new Problem30(); break;
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case 31: problem = new Problem31(); break;
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case 32: problem = new Problem32(); break;
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}
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return problem;
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}
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162
Problems/Problem32.ts
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162
Problems/Problem32.ts
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@@ -0,0 +1,162 @@
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//ProjectEulerTS/Problems/Problem32.ts
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//Matthew Ellison
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// Created: 05-28-21
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//Modified: 05-28-21
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//Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
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/*
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Copyright (C) 2021 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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import { findNumOccurrence } from "../../../Typescript/typescriptClasses/Algorithms";
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import { Unsolved } from "../Unsolved";
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import { Problem } from "./Problem";
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//Structures
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//Holds the set of numbers that make a product
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class ProductSet{
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private multiplicand: number;
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private multiplier: number;
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public constructor(multiplicand: number, multiplier: number){
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this.multiplicand = multiplicand;
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this.multiplier = multiplier;
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}
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public getMultiplicand(): number{
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return this.multiplicand;
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}
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public getMultiplier(): number{
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return this.multiplier;
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}
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public getProduct(): number{
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return (this.multiplicand * this.multiplier);
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}
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public equals(secondSet: ProductSet): boolean{
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//If an object is compared to itself return true
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if(secondSet == this){
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return true;
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}
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//Return true if the products are the same
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return (this.getProduct() == secondSet.getProduct());
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}
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public toString(): string{
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return `${this.multiplicand}${this.multiplier}${this.getProduct()}`;
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}
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}
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export class Problem32 extends Problem{
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//Variables
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//Static variables
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private static TOP_MULTIPLICAND: number = 99; //The largest multiplicand to check
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private static TOP_MUTLIPLIER: number = 4999; //The larest multiplier to check
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//Instance variables
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private listOfProducts: ProductSet[]; //The list of unique products that are 1-9 pandigital
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private sumOfPandigitals: number; //The sum of the products of the pandigital numbers
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//Functions
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//Constructor
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public constructor(){
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super("Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.");
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this.listOfProducts = [];
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this.sumOfPandigitals = 0;
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}
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//Operational functions
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//Solve the problem
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public solve(): void{
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//If the problem has already been solved do nothing and end the function
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if(this.solved){
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return;
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}
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//Start the timer
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this.timer.start();
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//Create the multiplicand and start working your way up
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for(let multiplicand = 1;multiplicand <= Problem32.TOP_MULTIPLICAND;++multiplicand){
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//Run through all possible multipliers
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for(let multiplier = multiplicand;multiplier <= Problem32.TOP_MUTLIPLIER;++multiplier){
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let currentProductSet: ProductSet = new ProductSet(multiplicand, multiplier);
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//If the product is too long move on to the next possible number
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if(currentProductSet.toString().length > 9){
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break;
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}
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//If the current number is a pandigital that doesn't already exist in the list add it to the list
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if(this.isPandigital(currentProductSet)){
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if(!this.listOfProducts.some(prod => prod.getProduct() == currentProductSet.getProduct())){
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this.listOfProducts.push(currentProductSet);
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}
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}
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}
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}
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//Get the sum of the products of the pandigitals
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for(let prod of this.listOfProducts){
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this.sumOfPandigitals += prod.getProduct();
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}
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//Stop the timer
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this.timer.stop();
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//Throw a flag to show the problem is solved
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this.solved = true;
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}
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//Returns true if the passed productset is 1-9 pandigital
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private isPandigital(currentSet: ProductSet): boolean{
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//Get the numbers out of the object and put them into a string
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let numberString: string = currentSet.toString();
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//Make sure the string is the currect length
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if(numberString.length != 9){
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return false;
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}
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//Make sure every number from 1-9 is contains exactly once
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for(let panNumber: number = 1;panNumber <= 9;++panNumber){
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//Make sure there is exactly one of this number contained in the string
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if(findNumOccurrence(numberString, panNumber.toString()) != 1){
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return false;
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}
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}
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//If all numbers were found in the string return true
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return true;
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}
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//Reset the problem so it can be run again
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public reset(): void{
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super.reset();
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this.listOfProducts = [];
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this.sumOfPandigitals = 0;
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}
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//Gets
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public getResult(): string{
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if(!this.solved){
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throw new Unsolved();
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}
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return `There are ${this.listOfProducts.length} unique 1-9 pandigitals\nThe sum of the products of the pandigitals is ${this.sumOfPandigitals}`
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}
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//Returns the sum of pandigitals
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public getSumOfPandigitlas(): number{
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//If the problem hasn't been solved throw an exception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.sumOfPandigitals;
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}
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}
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/* Results:
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There are 7 unique 1-9 pandigitals
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The sum of the products of the pandigitals is 45228
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It took an average of 5.049 milliseconds to run this problem through 100 iterations
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*/
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