Added solution to problem 16

This commit is contained in:
2020-08-25 09:33:37 -04:00
parent 5f486dec23
commit f60440558a
2 changed files with 107 additions and 1 deletions

View File

@@ -31,7 +31,7 @@ namespace ProjectEulerCS{
//Holds the valid problem numbers
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};
10, 11, 12, 13, 14, 15, 16};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; }
}
@@ -55,6 +55,7 @@ namespace ProjectEulerCS{
case 13: problem = new Problem13(); break;
case 14: problem = new Problem14(); break;
case 15: problem = new Problem15(); break;
case 16: problem = new Problem16(); break;
}
return problem;
}

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@@ -0,0 +1,105 @@
//ProjectEuler/ProjectEulerCS/src/Problems/Problem16.cs
//Matthew Ellison
// Created: 08-25-20
//Modified: 08-25-20
//What is the sum of the digits of the number 2^1000?
//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 Problem16 : Problem{
//Variables
//Static variables
private const int NUM_TO_POWER = 2; //The number that is going to be raised to a power
private const int POWER = 1000; //The power that the number is going to be raised to
//Instance variables
private BigInteger num; //The number to be calculated
public BigInteger Number{
get{
if(!solved){
throw new Unsolved();
}
return num;
}
}
private int sumOfElements; //The sum of all digits in the number
public int Sum{
get{
if(!solved){
throw new Unsolved();
}
return sumOfElements;
}
}
//Functions
//Constructor
public Problem16() : base("What is the sum of the digits of the number 2^1000?"){
num = 0;
sumOfElements = 0;
}
//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();
//Get the number
num = BigInteger.Pow(NUM_TO_POWER, POWER);
//Get a string of the number
string numString = num.ToString();
//Add up the individual characters of the string
for(int cnt = 0;cnt < numString.Length;++cnt){
sumOfElements += System.Convert.ToInt32(numString.Substring(cnt, 1));
}
//Stop the timer
_timer.Stop();
//Throw a flag to show the problem is solved
solved = true;
//Save the results
_result = NUM_TO_POWER + "^" + POWER + " = " + num + "\n" +
"The sum of the elements is " + sumOfElements;
}
//Reset the problem so it can be run again
public override void Reset(){
base.Reset();
num = 0;
sumOfElements = 0;
}
}
}
/* Results:
2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
The sum of the elements is 1366
It took an average of 25.002 microseconds to run this problem through 100 iterations
*/