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Added solution to problem 30
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@@ -53,12 +53,13 @@ import { Problem26 } from "./Problems/Problem26";
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import { Problem27 } from "./Problems/Problem27";
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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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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];
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30];
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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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@@ -93,6 +94,7 @@ export class ProblemSelection{
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case 27: problem = new Problem27(); break;
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case 28: problem = new Problem28(); break;
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case 29: problem = new Problem29(); break;
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case 30: problem = new Problem30(); break;
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}
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return problem;
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}
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@@ -2,7 +2,7 @@
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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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//What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed by starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral
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//How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
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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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132
Problems/Problem30.ts
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132
Problems/Problem30.ts
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@@ -0,0 +1,132 @@
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//ProjectEulerTS/Problems/Problem30.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 the numbers that can be written as the sum of the fifth powers of their digits.
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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 { getSum } from "../../../Typescript/typescriptClasses/Algorithms";
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import { Unsolved } from "../Unsolved";
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import { Problem } from "./Problem";
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export class Problem30 extends Problem{
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//Variables
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//Static variables
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private static TOP_NUM: number = 1000000; //This is the largest number that will be checked
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private static BOTTOM_NUM: number = 2; //Start with 2 because 0 and 1 don't count
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private static POWER_RAISED: number = 5; //This is the power that hte digits are raised to
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//Instance variables
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private sumOfFifthNumbers: number[]; //This is an array of the numbers thar are the sum of the fifth power of their digits
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private sum: number; //This is the sum of the sumOfFifthNumbers array
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//Functions
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//Operational functions
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public constructor(){
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super(`Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.`);
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this.sumOfFifthNumbers = [];
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}
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//Operational functions
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//Returns an array with the individual digits of the number passed to it
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private getDigits(num: number): number[]{
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let listOfDigits: number[] = []; //This array holds the individual digits of num
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//The easiest way to get the individual digits of a number is by converting it to a string
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let digits: string = num.toString();
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//Start with the first digit, convert it to an integer, store it in the array, and move to the next digit
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for(let cnt = 0;cnt < digits.length;++cnt){
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listOfDigits.push(parseInt(digits[cnt]));
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}
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//Return the list of digits
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return listOfDigits;
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}
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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 functions
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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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//Start with the lowest number and increment until you reach the largest number
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for(let currentNum = Problem30.BOTTOM_NUM;currentNum <= Problem30.TOP_NUM;++currentNum){
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//Get the digits of the number
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let digits: number[] = this.getDigits(currentNum);
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//Get the sum of the powers
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let sumOfPowers: number = 0;
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for(let num of digits){
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sumOfPowers += num ** Problem30.POWER_RAISED;
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}
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//Check if the sum of the powers is the same as the number
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//If it is add it to the list, otherwise continue to the next number
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if(sumOfPowers == currentNum){
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this.sumOfFifthNumbers.push(currentNum);
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}
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}
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//Get the sum of the numbers
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this.sum = getSum(this.sumOfFifthNumbers);
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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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//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.sumOfFifthNumbers = [];
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}
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//Gets
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//Returns the result of solving the problem
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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 `This sum of all the numbers that can be written as the sum of the fifth powers of their digits is ${this.sum}`;
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}
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//This returns the top number to be checked
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public static getTopNum(): number{
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return Problem30.TOP_NUM;
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}
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//This returns a copy of the vector holding all the numbers that are the sum of the fifth power of their digits
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public getListOfSumOfFifths(): 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.sumOfFifthNumbers;
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}
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//This returns the sum of all entries in sumOfFifthNumbers
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public getSumOfList(): number{
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//If the problem hasn't been solved throw an eception
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if(!this.solved){
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throw new Unsolved();
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}
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return this.sum;
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}
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}
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/* Results:
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This sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839
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It took an average of 180.976 milliseconds to run this problem through 100 iterations
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*/
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