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105 lines
3.5 KiB
TypeScript
105 lines
3.5 KiB
TypeScript
//ProjectEulerTS/Problems/Problem6.ts
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//Matthew Ellison
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// Created: 03-10-21
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//Modified: 07-14-21
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//Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
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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 { Problem } from "./Problem";
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export class Problem6 extends Problem{
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//Variables
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//Static variables
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private static START_NUM: number = 1; //The first number that needs to be counted
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private static END_NUM: number = 100; //The last number that needs to be counted
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//Instance variables
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private sumOfSquares: number; //Holds the sum of the squares of all the numbers
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private squareOfSum: number; //Holds the square of the sum of all the numbers
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//Functions
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//Constructor
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public constructor(){
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super(`Find the difference between the sum of the squares and the square of the sum of the numbers ${Problem6.START_NUM}-${Problem6.END_NUM}`);
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this.sumOfSquares = 0;
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this.squareOfSum = 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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//Run through all numbers and add them to the appropriate sums
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for(let currentNum: number = Problem6.START_NUM;currentNum <= Problem6.END_NUM;++currentNum){
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this.sumOfSquares += (currentNum * currentNum); //Square the number and add it to the variable
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this.squareOfSum += currentNum; //Add the number to the sum to be squared later
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}
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//Square the sum of all the numbers
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this.squareOfSum *= this.squareOfSum;
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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.squareOfSum = 0;
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this.sumOfSquares = 0;
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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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this.solvedCheck("result");
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return `The difference between the sum of the squares and the square of the sum of all numbers from ${Problem6.START_NUM}-${Problem6.END_NUM} is ${this.getDifference()}`;
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}
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//Returns the sum of all the squares
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public getSumOfSquares(): number{
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this.solvedCheck("sum of the squares");
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return this.sumOfSquares;
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}
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//Returns the square of all the sums
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public getSquareOfSum(){
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this.solvedCheck("square of the sums");
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return this.squareOfSum;
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}
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//Returns the requested difference
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public getDifference(): number{
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this.solvedCheck("difference between the two numbers");
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return Math.abs(this.sumOfSquares - this.squareOfSum);
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}
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}
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/* Results:
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The difference between the sum of the squares and the square of the sum of all numbers from 1-100 is 25164150
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It took an average of 344.001 nanoseconds to run this problem through 100 iterations
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*/
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