Added solution to problem 38

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2021-11-11 21:54:02 -05:00
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//ProjectEulerTS/Problems/Problem38.ts
//Matthew Ellison
// Created: 11-11-21
//Modified: 11-11-21
//What is the largest 1-9 pandigital number that can be formed as the concatenated product of an integer with 1, 2, ... n where n > 1
//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 { isPandigital } from "../../../Typescript/typescriptClasses/StringAlgorithms";
import { Problem } from "./Problem";
export class Problem38 extends Problem{
//Variables
//Static variables
private static HIGHEST_POSSIBLE_NUMBER: number = 9999; //The highest number that needs to be checked for a 1-9 pandigital
//Instance variables
private largestNum: number; //The number passed to the executeFormula function that returns the largest pandigital
private pandigital: number; //The largest pandigital number found
//Functions
//Constructor
public constructor(){
super("What is the largest 1-9 pandigital number that can be formed as the concatenated product of an integer with 1, 2, ... n where n > 1");
this.largestNum = 0;
this.pandigital = 0;
}
//Operational functions
//Take the number and add its multiples to a string to return
private executeFormula(num: number): string{
//Turn the current number into a string
let numStr = num.toString();
let cnt = 2;
//Multiply the number and append the product to the string until you have one long enough
do{
numStr += (num * cnt).toString();
++cnt;
}while(numStr.length < 9);
return numStr;
}
//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();
//Loop from 1 -> HIGHEST_POSSIBLE_NUM checking for pandigitals
for(let cnt = 1;cnt <= Problem38.HIGHEST_POSSIBLE_NUMBER;++cnt){
//Get the string from the formula
let numStr = this.executeFormula(cnt);
let panNum = parseInt(numStr);
//If the number is pandigital save it as the highest number
if(isPandigital(numStr) && (panNum > this.pandigital)){
this.largestNum = cnt;
this.pandigital = panNum;
}
}
//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.largestNum = 0;
this.pandigital = 0;
}
//Gets
//Returns a string with the solution tot he problem
public getResult(): string{
this.solvedCheck("results");
return `The largest appended product pandigital is ${this.pandigital}`;
}
//Returns the largest number
public getLargestNum(): number{
this.solvedCheck("largest number");
return this.largestNum;
}
//Returns the pandigital of the number
public getPandigital(): number{
this.solvedCheck("pandigital");
return this.pandigital;
}
}
/* Results:
The largest appended product pandigital is 932718654
It took an average of 3.051 milliseconds to run this problem through 100 iterations
*/