Added solution to problem 29

This commit is contained in:
2020-10-03 11:16:45 -04:00
parent b47a33a6fb
commit 6f3c6c2fb3
2 changed files with 126 additions and 1 deletions

View File

@@ -32,7 +32,8 @@ 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, 25, 26, 27, 28, 67};
20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
67};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; }
}
@@ -69,6 +70,7 @@ namespace ProjectEulerCS{
case 26: problem = new Problem26(); break;
case 27: problem = new Problem27(); break;
case 28: problem = new Problem28(); break;
case 29: problem = new Problem29(); break;
case 67: problem = new Problem67(); break;
}
return problem;

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