Added solution to problem 25

This commit is contained in:
2021-04-08 13:48:07 -04:00
parent 3e570ef4e1
commit 57ec17142f
3 changed files with 127 additions and 2 deletions

View File

@@ -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;

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@@ -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;
}

123
Problems/Problem25.ts Normal file
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@@ -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 <https://www.gnu.org/licenses/>.
*/
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
*/