diff --git a/ProblemSelection.ts b/ProblemSelection.ts index 8535d52..b2d9d58 100644 --- a/ProblemSelection.ts +++ b/ProblemSelection.ts @@ -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; } diff --git a/Problems/Problem28.ts b/Problems/Problem28.ts index 5fb07e9..1825b39 100644 --- a/Problems/Problem28.ts +++ b/Problems/Problem28.ts @@ -1,4 +1,4 @@ -//ProjectEulerTS/Problems/Problem27.ts +//ProjectEulerTS/Problems/Problem28.ts //Matthew Ellison // Created: 05-26-21 //Modified: 05-26-21 diff --git a/Problems/Problem29.ts b/Problems/Problem29.ts new file mode 100644 index 0000000..217f7c3 --- /dev/null +++ b/Problems/Problem29.ts @@ -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 . +*/ + + +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 +*/