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Added solution to problem 26
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@@ -32,7 +32,7 @@ namespace ProjectEulerCS{
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private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
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10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
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20, 21, 22, 23, 24, 25, 67};
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20, 21, 22, 23, 24, 25, 26, 67};
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public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
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get { return _PROBLEM_NUMBERS; }
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}
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@@ -66,6 +66,7 @@ namespace ProjectEulerCS{
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case 23: problem = new Problem23(); break;
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case 24: problem = new Problem24(); break;
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case 25: problem = new Problem25(); break;
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case 26: problem = new Problem26(); break;
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case 67: problem = new Problem67(); break;
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}
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return problem;
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133
ProjectEulerCS/Problems/Problem26.cs
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133
ProjectEulerCS/Problems/Problem26.cs
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@@ -0,0 +1,133 @@
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//ProjectEuler/ProjectEulerCS/src/Problems/Problem26.cs
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//Matthew Ellison
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// Created: 09-11-20
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//Modified: 09-11-20
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//What is the index of the first term in the Fibonacci sequence to contain 1000 digits?
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/CSClasses
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/*
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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using System.Collections.Generic;
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namespace ProjectEulerCS.Problems{
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public class Problem26 : Problem{
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//Variables
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//Static variables
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private const int TOP_NUM = 999; //The number of digits needed in the number
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//Instance variables
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private int longestCycle; //The length of the longest cycle
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private int longestNumber; //The starting denominator of the longest cycle
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public int LongestCycle{
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get{
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if(!solved){
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throw new Unsolved();
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}
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return longestCycle;
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}
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}
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public int LongestNumber{
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get{
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if(!solved){
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throw new Unsolved();
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}
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return longestNumber;
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}
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}
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public override string Result{
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get{
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if(!solved){
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throw new Unsolved();
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}
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return $"The longest cycle is {longestCycle} digits long\nIt started with the number {longestNumber}";
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}
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}
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//Functions
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//Constructor
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public Problem26() : base($"Find the value of d <= {TOP_NUM} for which 1/d contains the longest recurring cycle in its decimal fraction part."){
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longestCycle = 0;
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longestNumber = 0;
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}
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//Operational functions
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//Solve the problem
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public override void Solve(){
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//If the problem has already been solved do nothing and end the function
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if(solved){
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return;
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}
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//Start the timer
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timer.Start();
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//Start with 1/2 and find out how long the longest cycle is by checking the remainders
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//Loop through every number from 2-999 and use it for the denominator
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for(int denominator = 2;denominator <= TOP_NUM;++denominator){
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List<int> denomList = new List<int>();
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bool endFound = false; //A flag for when we have found an end to the number (either a cycle or a 0 for remainder)
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bool cycleFound = false; //A flag to indicate a cycle was detected
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int numerator = 1; //The numerator that will be divided. Always starts at 1
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while(!endFound){
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//Get the remainder after the division
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int remainder = numerator % denominator;
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//Check if the remainder is 0 and set the flag
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if(remainder == 0){
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endFound = true;
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}
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//Check if the remainder is in the list and set the appropriate flags
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else if(denomList.Contains(remainder)){
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endFound = true;
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cycleFound = true;
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}
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//Else add it to the list
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else{
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denomList.Add(remainder);
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}
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//Multiply the remainder by 10 to continue finding the next remainder
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numerator = remainder * 10;
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}
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//If a cycle was found check the size of the list against the largest cycle
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if(cycleFound){
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//If it is larger than the largest, set it as the new largest
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if(denomList.Count > longestCycle){
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longestCycle = denomList.Count;
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longestNumber = denominator;
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}
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}
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}
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//Stop the timer
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timer.Stop();
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//Throw a flag to show the problem is solved
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solved = true;
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}
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//Reset the problem so it can be run again
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public override void Reset(){
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base.Reset();
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longestCycle = 0;
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longestNumber = 1;
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}
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}
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}
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/* Results:
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The longest cycle is 982 digits long
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It started with the number 983
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It took an average of 4.657 milliseconds to run this problem through 100 iterations
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*/
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