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Added solution to problem 28
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@@ -51,12 +51,13 @@ import { Problem24 } from "./Problems/Problem24";
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import { Problem25 } from "./Problems/Problem25";
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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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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];
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21, 22, 23, 24, 25, 26, 27, 28];
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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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@@ -89,6 +90,7 @@ export class ProblemSelection{
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case 25: problem = new Problem25(); break;
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case 26: problem = new Problem26(); break;
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case 27: problem = new Problem27(); break;
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case 28: problem = new Problem28(); break;
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}
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return problem;
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}
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170
Problems/Problem28.ts
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170
Problems/Problem28.ts
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@@ -0,0 +1,170 @@
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//ProjectEulerTS/Problems/Problem27.ts
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//Matthew Ellison
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// Created: 05-26-21
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//Modified: 05-26-21
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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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//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 { Unsolved } from "../Unsolved";
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import { Problem } from "./Problem";
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export class Problem28 extends Problem{
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//Variables
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//Static variables
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private static grid: number[][]; //Holds the grid that we will be filling and searching
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//Instance variables
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private sumOfDiagonals: number; //Holds the sum of the diagonals of the grid
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//Functions
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//Constructor
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public constructor(){
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super(`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 diration`);
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this.sumOfDiagonals = 0;
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}
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//Operational functions
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//Sets up the grid
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private setupGrid(): void{
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Problem28.grid = [];
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//Fill the grid with 0's
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for(let cnt = 0;cnt < 1001;++cnt){
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Problem28.grid.push([]);
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for(let cnt2 = 0;cnt2 < 1001;++cnt2){
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Problem28.grid[cnt].push(0);
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}
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}
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let finalLocation: boolean = false; //A flag to indicate if the final location to be filled has been reached
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//Set the number that is going to be put at each location
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let currentNum: number = 1;
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//Start with the middle location and set it correctly and advance the tracker to the next number
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let xLocation: number = 500;
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let yLocation: number = 500;
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Problem28.grid[yLocation][xLocation] = currentNum++;
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//Move right the first time
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++xLocation;
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//Move in a circular pattern until you rach the final location
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while(!finalLocation){
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//Move down until you reach a blank location on the left
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while(Problem28.grid[yLocation][xLocation - 1] != 0){
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Problem28.grid[yLocation][xLocation] = currentNum++;
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++yLocation;
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}
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//Move left until you reach a blank location above
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while(Problem28.grid[yLocation - 1][xLocation] != 0){
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Problem28.grid[yLocation][xLocation] = currentNum++;
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--xLocation;
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}
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//Move up until you reach a blank location to the right
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while(Problem28.grid[yLocation][xLocation + 1] != 0){
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Problem28.grid[yLocation][xLocation] = currentNum++;
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--yLocation;
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}
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//Move right until you reach a blank location below
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while(Problem28.grid[yLocation + 1][xLocation] != 0){
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Problem28.grid[yLocation][xLocation] = currentNum++;
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++xLocation;
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//Check if you are at the final location and break the loop if you are
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if(xLocation == Problem28.grid.length){
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finalLocation = true;
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break;
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}
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}
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}
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}
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//Finds the sum of the diagonals in the grid
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private findSum(): void{
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//Start at the top corners and work your way down moving toward the opposite side
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let leftSide: number = 0;
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let rightSide: number = Problem28.grid.length - 1;
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let row: number = 0;
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while(row < Problem28.grid.length){
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//This ensures the middle location is only counted once
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if(leftSide == rightSide){
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this.sumOfDiagonals += Problem28.grid[row][leftSide];
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}
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else{
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this.sumOfDiagonals += Problem28.grid[row][leftSide];
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this.sumOfDiagonals += Problem28.grid[row][rightSide];
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}
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++row;
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++leftSide;
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--rightSide;
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}
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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 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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//Setup the grid
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this.setupGrid();
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//FInd the sum of the diagonals in the grid
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this.findSum();
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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.sumOfDiagonals = 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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if(!this.solved){
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throw new Unsolved();
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}
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return `The sum of the diagonals in the given grid is ${this.sumOfDiagonals}`;
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}
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//Returns the grid
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public getGrid(): 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 Problem28.grid;
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}
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//Returns the sum of the diagonals
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public getSum(): 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.sumOfDiagonals;
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}
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}
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/* Results:
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The sum of the diagonals in the given grid is 669171001
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It took an average of 16.924 milliseconds to run this problem through 100 iterations
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*/
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