Added solution to problem29

This commit is contained in:
2021-05-28 13:29:43 -04:00
parent 2a313c92aa
commit 383be25f29
3 changed files with 121 additions and 2 deletions

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@@ -52,12 +52,13 @@ import { Problem25 } from "./Problems/Problem25";
import { Problem26 } from "./Problems/Problem26";
import { Problem27 } from "./Problems/Problem27";
import { Problem28 } from "./Problems/Problem28";
import { Problem29 } from "./Problems/Problem29";
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];
21, 22, 23, 24, 25, 26, 27, 28, 29];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -91,6 +92,7 @@ export class ProblemSelection{
case 26: problem = new Problem26(); break;
case 27: problem = new Problem27(); break;
case 28: problem = new Problem28(); break;
case 29: problem = new Problem29(); break;
}
return problem;
}

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@@ -1,4 +1,4 @@
//ProjectEulerTS/Problems/Problem27.ts
//ProjectEulerTS/Problems/Problem28.ts
//Matthew Ellison
// Created: 05-26-21
//Modified: 05-26-21

117
Problems/Problem29.ts Normal file
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@@ -0,0 +1,117 @@
//ProjectEulerTS/Problems/Problem29.ts
//Matthew Ellison
// Created: 05-28-21
//Modified: 05-28-21
//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
//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 { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem29 extends Problem{
//Variables
//Static variables
private static BOTTOM_A: number = 2; //The lowest possible value for a
private static TOP_A: number = 100; //The hightest possible value for a
private static BOTTOM_B: number = 2; //The lowest possible value for b
private static TOP_B: number = 100; //The highest possible value for b
//Instance variables
private unique: bigint[]; //Holds all unique values generated
//Functions
//Constructor
public constructor(){
super(`How many distinct terms are in the sequence generated by a^b for ${Problem29.BOTTOM_A} <= a <= ${Problem29.TOP_A} and ${Problem29.BOTTOM_B} <= b <= ${Problem29.TOP_B}?`);
this.unique = [];
}
//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();
//Start witht he first A and move towards the top
for(let currentA = Problem29.BOTTOM_A;currentA <= Problem29.TOP_A;++currentA){
//Start with the first B and move towards the top
for(let currentB = Problem29.BOTTOM_B;currentB <= Problem29.TOP_B;++currentB){
//Get the new number
let currentNum: bigint = BigInt(currentA) ** BigInt(currentB);
//If the current number is not in the array add it
if(!this.unique.includes(currentNum)){
this.unique.push(currentNum);
}
}
}
//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.unique = [];
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
if(!this.solved){
throw new Unsolved();
}
return `The number of unique values generated by a^b for ${Problem29.BOTTOM_A} <= a <= ${Problem29.TOP_A} and ${Problem29.BOTTOM_B} <= b <= ${Problem29.TOP_B} is ${this.unique.length}`;
}
//Returns the lowest possible value for a
public static getBottomA(): number{
return Problem29.BOTTOM_A;
}
//Returns the highest possible value for a
public static getTopA(): number{
return Problem29.TOP_A;
}
//Returns the lowest possible value for b
public static getBottomB(): number{
return Problem29.BOTTOM_B;
}
//Returns the highest possible value for b
public static getTopB(): number{
return Problem29.TOP_B;
}
//Returns a list of all the unique values for a^b
public getUnique(): bigint[]{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.unique;
}
}
/* Results:
The number of unique values generated by a^b for 2 <= a <= 100 and 2 <= b <= 100 is 9183
It took an average of 349.571 milliseconds to run this problem through 100 iterations
*/