diff --git a/Benchmark.ts b/Benchmark.ts index a70a342..2acacd4 100644 --- a/Benchmark.ts +++ b/Benchmark.ts @@ -32,7 +32,7 @@ enum BenchmarkOptions{runSpecific = 1, runAllShort, runAll, exit, size}; export class Benchmark{ - private static tooLong: number[] = [14, 15, 23, 24]; + private static tooLong: number[] = [14, 15, 23, 24, 25]; //The driver function for the benchmark selection public static benchmarkMenu(): void{ let selection: BenchmarkOptions = BenchmarkOptions.size; diff --git a/ProblemSelection.ts b/ProblemSelection.ts index dcf90c5..2a7bda6 100644 --- a/ProblemSelection.ts +++ b/ProblemSelection.ts @@ -48,12 +48,13 @@ import { Problem21 } from "./Problems/Problem21"; import { Problem22 } from "./Problems/Problem22"; import { Problem23 } from "./Problems/Problem23"; import { Problem24 } from "./Problems/Problem24"; +import { Problem25 } from "./Problems/Problem25"; 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]; + 21, 22, 23, 24, 25]; //Returns the problem corresponding to the given problem number public static getProblem(problemNumber: number): Problem{ @@ -83,6 +84,7 @@ export class ProblemSelection{ case 22: problem = new Problem22(); break; case 23: problem = new Problem23(); break; case 24: problem = new Problem24(); break; + case 25: problem = new Problem25(); break; } return problem; } diff --git a/Problems/Problem25.ts b/Problems/Problem25.ts new file mode 100644 index 0000000..91595d1 --- /dev/null +++ b/Problems/Problem25.ts @@ -0,0 +1,123 @@ +//ProjectEulerTS/Problems/Problem25.ts +//Matthew Ellison +// Created: 04-08-21 +//Modified: 04-08-21 +//What is the index of the first term in the Fibonacci sequence to contain 1000 digits? +//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 { getFibBig } from "../../../Typescript/typescriptClasses/Algorithms"; +import { Unsolved } from "../Unsolved"; +import { Problem } from "./Problem"; + + +export class Problem25 extends Problem{ + //Variables + //Static variables + private static NUM_DIGITS: number = 1000; //The number of digits to calculate up to + //Instance variables + private number: bigint; //The current Fibonacci number + private index: bigint; //The index of the current Fibonacci number just calculated + + //Functions + //Constructor + public constructor(){ + super(`What is the index of the first term in the Fibonacci sequence to contains ${Problem25.NUM_DIGITS} digits?`); + this.number = 0n; + this.index = 2n; + } + //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(); + + //Move through all Fibonacci numbers until you reach the one with at least NUM_DIGITS digits + while(this.number.toString().length < Problem25.NUM_DIGITS){ + this.index += 1n; //Increase the index number. Doing this at the beginning keeps the index correct at the end of the loop + this.number = getFibBig(this.index); //Calculate the number + } + + //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.number = 0n; + this.index = 2n; + } + //Gets + //Returns the result of solving the problem + public getResult(): string{ + if(!this.solved){ + throw new Unsolved(); + } + return `The first Fibonacci number with ${Problem25.NUM_DIGITS} digits is ${this.number}\nIts index is ${this.index}`; + } + //Returns the Fibonacci number asked for + public getNumber(): bigint{ + if(!this.solved){ + throw new Unsolved(); + } + return this.number; + } + //Returns the Fibonacci number asked for as a string + public getNumberString(): string{ + if(!this.solved){ + throw new Unsolved(); + } + return this.number.toString(); + } + //Returns the index of the requested Fibonacci number + public getIndex(): bigint{ + if(!this.solved){ + throw new Unsolved(); + } + return this.index; + } + //Returns the index of the requested Fibonacci number as a string + public getIndexString(): string{ + if(!this.solved){ + throw new Unsolved(); + } + return this.index.toString(); + } + //Returns the index of the requested Fibonacci number as a number + public getIndexInt(): number{ + if(!this.solved){ + throw new Unsolved(); + } + return Number(this.index); + } +} + +/* Results: +The first Fibonacci number with 1000 digits is 1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816 +Its index is 4782 +It took an average of 4.112 seconds to run this problem through 100 iterations +*/