diff --git a/ProblemSelection.ts b/ProblemSelection.ts index 9e78b5a..24d3541 100644 --- a/ProblemSelection.ts +++ b/ProblemSelection.ts @@ -58,12 +58,13 @@ import { Problem31 } from "./Problems/Problem31"; import { Problem32 } from "./Problems/Problem32"; import { Problem33 } from "./Problems/Problem33"; import { Problem67 } from "./Problems/Problem67"; +import { Problem34 } from "./Problems/Problem34"; 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, 67]; + 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 67]; //Returns the problem corresponding to the given problem number public static getProblem(problemNumber: number): Problem{ @@ -102,6 +103,7 @@ export class ProblemSelection{ case 31: problem = new Problem31(); break; case 32: problem = new Problem32(); break; case 33: problem = new Problem33(); break; + case 34: problem = new Problem34(); break; case 67: problem = new Problem67(); break; } return problem; diff --git a/Problems/Problem34.ts b/Problems/Problem34.ts new file mode 100644 index 0000000..2c96e35 --- /dev/null +++ b/Problems/Problem34.ts @@ -0,0 +1,123 @@ +//ProjectEulerTS/Problems/Problem34.ts +//Matthew Ellison +// Created: 06-01-21 +//Modified: 06-01-21 +//Find the sum of all numbers which are equal to the sum of the factorial of their digits +//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 . +*/ + + +import { factorial } from "../../../Typescript/typescriptClasses/Algorithms"; +import { Unsolved } from "../Unsolved"; +import { Problem } from "./Problem"; + + +export class Problem34 extends Problem{ + //Variables + //Static variables + private static MAX_NUM: number = 1499999; //The largest num that can be the sum of its own digits + //Instance variables + private factorials: number[]; //Holds the pre-computed factorials of the numbers 0-9 + private sum: number; //Holds the sum of all numbers equal to the sum of their digit's factorials + + //Functions + //Constructor + public constructor(){ + super("Find the sum of all numbers which are equal to the sum of the factorial of their digits"); + this.sum = 0; + this.factorials = []; + for(let cnt = 0;cnt <= 9;++cnt){ + this.factorials.push(0); + } + } + //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(); + + //Pre-compute the possible factorials form 0! to 9! + for(let cnt = 0;cnt <= 9;++cnt){ + this.factorials[cnt] = factorial(cnt); + } + //Run through all possible numbers from 3-MAX_NUM and see if they equal the sum of their digit's factorials + for(let cnt = 3;cnt < Problem34.MAX_NUM;++cnt){ + //Split the number into tis digits and add each one to the sum + let numString: string = cnt.toString(); + let currentSum: number = 0; + for(let numCnt = 0;numCnt < numString.length;++numCnt){ + let digit = numString.charAt(numCnt); + currentSum += this.factorials[parseInt(digit)]; + } + //If the number is equal to the sum add the sum to the running sum + if(currentSum == cnt){ + this.sum += currentSum; + } + } + + //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.sum = 0; + this.factorials = []; + for(let cnt = 0;cnt <= 9;++cnt){ + this.factorials.push(0); + } + } + //Gets + //Returns the result of solving 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 numbers that are the sum of their digit's factorials is ${this.sum}`; + } + //Returns the list of factorials from 0-9 + public getFactorials(): number[]{ + //If the problem hasn't been solved throw an exception + if(!this.solved){ + throw new Unsolved(); + } + return this.factorials; + } + //Returns the sum of all numbers equal to the sum of their digit's factorials + public getSum(): number{ + //If the problem hasn't been solved throw an exception + if(!this.solved){ + throw new Unsolved(); + } + return this.sum; + } +} + +/* Results: +The sum of all numbers that are the sum of their digit's factorials is 40730 +It took an average of 87.615 milliseconds to run this problem through 100 iterations +*/