Added solution to problem 25

This commit is contained in:
2020-09-11 11:41:09 -04:00
parent bba123e462
commit e52e39b6e4
2 changed files with 105 additions and 1 deletions

View File

@@ -32,7 +32,7 @@ namespace ProjectEulerCS{
private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
{ 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<int> 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;

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@@ -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 <https://www.gnu.org/licenses/>.
*/
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
*/