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Added solution to problem 29
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@@ -32,7 +32,8 @@ 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, 26, 27, 28, 67};
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20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
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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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@@ -69,6 +70,7 @@ namespace ProjectEulerCS{
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case 26: problem = new Problem26(); break;
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case 27: problem = new Problem27(); break;
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case 28: problem = new Problem28(); break;
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case 29: problem = new Problem29(); 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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123
ProjectEulerCS/Problems/Problem29.cs
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123
ProjectEulerCS/Problems/Problem29.cs
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@@ -0,0 +1,123 @@
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//ProjectEuler/ProjectEulerCS/src/Problems/Problem29.cs
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//Matthew Ellison
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// Created: 10-03-20
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//Modified: 10-03-20
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//How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
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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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using System.Numerics;
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namespace ProjectEulerCS.Problems{
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public class Problem29 : Problem{
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//Variables
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//Static variables
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private const int BOTTOM_A = 2; //The lowest possible value for a
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private const int TOP_A = 100; //The highest possible value for a
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private const int BOTTOM_B = 2; //The lowest possible value for b
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private const int TOP_B = 100; //The highest possible value for b
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//Instance variables
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private List<BigInteger> unique; //Holds all unique values generated
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//Gets
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public static int BottomA{
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get{
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return BOTTOM_A;
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}
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}
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public static int BottomB{
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get{
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return BottomB;
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}
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}
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public static int TopA{
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get{
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return TOP_A;
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}
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}
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public static int TopB{
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get{
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return TOP_B;
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}
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}
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public List<BigInteger> Unique{
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get{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw new Unsolved();
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}
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return unique;
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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 $"The number of unique values generated by a^b for {BOTTOM_A} <= a <= {TOP_A} and {BOTTOM_B} <= b <= {TOP_B} is {unique.Count}";
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}
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}
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//Functions
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//Constructor
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public Problem29() : base($"How many distinct terms are in the sequence generated by a^b for {BOTTOM_A} <= a <= {TOP_A} and {BOTTOM_B} <= b <= {TOP_B}?"){
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unique = new List<BigInteger>();
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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 the first A and move towards the top
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for(int currentA = BOTTOM_A;currentA <= TOP_A;++currentA){
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//Start with the first B and move towards the top
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for(int currentB = BOTTOM_B;currentB <= TOP_B;++currentB){
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//Get the new number
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BigInteger currentNum = BigInteger.Pow(currentA, currentB);
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//If the current number is not in the array add it
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if(!unique.Contains(currentNum)){
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unique.Add(currentNum);
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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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public override void Reset(){
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base.Reset();
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unique.Clear();
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}
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}
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}
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/* Results:
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The number of unique values generated by a^b for 2 <= a <= 100 and 2 <= b <= 100 is 9183
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It took an average of 127.770 milliseconds to run this problem through 100 iterations
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*/
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