Added solution to problem 6

This commit is contained in:
2021-03-10 10:51:52 -05:00
parent 8de8ce8381
commit 45ff536134
2 changed files with 115 additions and 3 deletions

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@@ -1,11 +1,11 @@
//ProjectEulerTS/ProblemSelection.ts
//Matthew Ellison
// Created: 10-18-20
//Modified: 10-18-20
//Modified: 03-10-21
//This class holds all of the functions needed to handle a problem
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
/*
Copyright (C) 2020 Matthew Ellison
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
@@ -29,11 +29,12 @@ import { Problem2 } from "./Problems/Problem2";
import { Problem3 } from "./Problems/Problem3";
import { Problem4 } from "./Problems/Problem4";
import { Problem5 } from "./Problems/Problem5";
import { Problem6 } from "./Problems/Problem6";
export class ProblemSelection{
//Holds the valid problem numbers
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5];
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -44,6 +45,7 @@ export class ProblemSelection{
case 3 : problem = new Problem3(); break;
case 4 : problem = new Problem4(); break;
case 5 : problem = new Problem5(); break;
case 6 : problem = new Problem6(); break;
}
return problem;
}

110
Problems/Problem6.ts Normal file
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@@ -0,0 +1,110 @@
//ProjectEulerTS/Problems/Problem5.ts
//Matthew Ellison
// Created: 10-26-20
//Modified: 10-26-20
//Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
//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 { Problem } from "./Problem";
import { Unsolved } from "../Unsolved";
export class Problem6 extends Problem{
//Variables
//Static variables
private static START_NUM: number = 1; //The first number that needs to be counted
private static END_NUM: number = 100; //The last number that needs to be counted
//Instance vairables
private sumOfSquares: number; //Holds the sum of the squares of all the numbers
private squareOfSum: number; //Holds the square of the sum of all the numbers
//Functions
//Constructor
public constructor(){
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}`);
this.sumOfSquares = 0;
this.squareOfSum = 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();
//Run through all numbers and add them to the appropriate sums
for(let currentNum: number = Problem6.START_NUM;currentNum <= Problem6.END_NUM;++currentNum){
this.sumOfSquares += (currentNum * currentNum); //Square the number and add it to the variable
this.squareOfSum += currentNum; //Add the number to the sum to be squared later
}
//Square the sum of all the numbers
this.squareOfSum *= this.squareOfSum;
//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.squareOfSum = 0;
this.sumOfSquares = 0;
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
if(!this.solved){
throw new Unsolved();
}
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()}`;
}
//Returns the sum of all the squares
public getSumOfSquares(): number{
if(!this.solved){
throw new Unsolved();
}
return this.sumOfSquares;
}
//Returns the square of all the sums
public getSquareOfSum(){
if(!this.solved){
throw new Unsolved();
}
return this.squareOfSum;
}
//Returns the requested difference
public getDifference(): number{
if(!this.solved){
throw new Unsolved();
}
return Math.abs(this.sumOfSquares - this.squareOfSum);
}
}
/* Results:
The difference between the sum of the squares and the square of the sum of all numbers from 1-100 is 25164150
It took an average of 344.001 nanoseconds to run this problem through 100 iterations
*/