From e52e39b6e4e8687528f624784c7e867d8ced8457 Mon Sep 17 00:00:00 2001 From: Mattrixwv Date: Fri, 11 Sep 2020 11:41:09 -0400 Subject: [PATCH] Added solution to problem 25 --- ProjectEulerCS/ProblemSelection.cs | 3 +- ProjectEulerCS/Problems/Problem25.cs | 103 +++++++++++++++++++++++++++ 2 files changed, 105 insertions(+), 1 deletion(-) create mode 100644 ProjectEulerCS/Problems/Problem25.cs diff --git a/ProjectEulerCS/ProblemSelection.cs b/ProjectEulerCS/ProblemSelection.cs index 93aa04f..57ee2c2 100644 --- a/ProjectEulerCS/ProblemSelection.cs +++ b/ProjectEulerCS/ProblemSelection.cs @@ -32,7 +32,7 @@ namespace ProjectEulerCS{ private static readonly List _PROBLEM_NUMBERS = new List() { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, - 20, 21, 22, 23, 24, 67}; + 20, 21, 22, 23, 24, 25, 67}; public static System.Collections.Generic.List PROBLEM_NUMBERS{ get { return _PROBLEM_NUMBERS; } } @@ -65,6 +65,7 @@ namespace ProjectEulerCS{ case 22: problem = new Problem22(); break; case 23: problem = new Problem23(); break; case 24: problem = new Problem24(); break; + case 25: problem = new Problem25(); break; case 67: problem = new Problem67(); break; } return problem; diff --git a/ProjectEulerCS/Problems/Problem25.cs b/ProjectEulerCS/Problems/Problem25.cs new file mode 100644 index 0000000..5862506 --- /dev/null +++ b/ProjectEulerCS/Problems/Problem25.cs @@ -0,0 +1,103 @@ +//ProjectEuler/ProjectEulerCS/src/Problems/Problem25.cs +//Matthew Ellison +// Created: 09-11-20 +//Modified: 09-11-20 +//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/CSClasses +/* + Copyright (C) 2020 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 . +*/ + + +using System.Numerics; + + +namespace ProjectEulerCS.Problems{ + public class Problem25 : Problem{ + //Variables + //Static variables + private const int NUM_DIGITS = 1000; //The number of digits to calculate up to + //Instance variables + private BigInteger number; //The current Fibonacci number + private BigInteger index; //The index of the current Fibonacci number just calculated + public BigInteger Number{ + get{ + if(!solved){ + throw new Unsolved(); + } + return number; + } + } + public BigInteger Index{ + get{ + if(!solved){ + throw new Unsolved(); + } + return index; + } + } + public override string Result{ + get{ + if(!solved){ + throw new Unsolved(); + } + return $"The first Fibonacci number with {NUM_DIGITS} digits is {number}\nIts index is {index}"; + } + } + + //Functions + //Constructor + public Problem25() : base($"What is the index of the first term in the Fibonacci sequence to contain {NUM_DIGITS} digits?"){ + number = 0; + index = 2; + } + //Operational functions + //Solve the problem + public override void Solve(){ + //If the problem has already been solved do nothing and end the function + if(solved){ + return; + } + + //Star the timer + timer.Start(); + + //Move through all Fibonacci numbers until you reach the one with at least NUM_DIGITS digits + while(number.ToString().Length < NUM_DIGITS){ + index += 1; //Increase the index number. Doing this at the beginning keeps the index correct at the end of the loop + number = mee.Algorithms.GetFib(index); //Calculate the number + } + + //Stop the timer + timer.Stop(); + + //THrow a flag to show the porblem is solved + solved = true; + } + //Reset the problem so it can be run again + public override void Reset(){ + base.Reset(); + number = 0; + index = 2; + } + } +} + +/* Results: +The first Fibonacci number with 1000 digits is 1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816 +Its index is 4782 +It took an average of 1.008 seconds to run this problem through 100 iterations +*/