Added solution to problem 20

This commit is contained in:
2020-08-27 12:06:53 -04:00
parent b9b5d88191
commit 46b5b39f1c
2 changed files with 116 additions and 2 deletions

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@@ -1,7 +1,7 @@
//ProjectEuler/ProjectEulerCS/src/ProblemSelection.cs //ProjectEuler/ProjectEulerCS/src/ProblemSelection.cs
//Matthew Ellison //Matthew Ellison
// Created: 08-21-20 // Created: 08-21-20
//Modified: 08-24-20 //Modified: 08-27-20
//This class holds all of the functions needed to handle a problem //This class holds all of the functions needed to handle a problem
/* /*
Copyright (C) 2020 Matthew Ellison Copyright (C) 2020 Matthew Ellison
@@ -32,7 +32,7 @@ namespace ProjectEulerCS{
private static readonly List<int> _PROBLEM_NUMBERS = new List<int>() private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
67}; 20, 67};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{ public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; } get { return _PROBLEM_NUMBERS; }
} }
@@ -60,6 +60,7 @@ namespace ProjectEulerCS{
case 17: problem = new Problem17(); break; case 17: problem = new Problem17(); break;
case 18: problem = new Problem18(); break; case 18: problem = new Problem18(); break;
case 19: problem = new Problem19(); break; case 19: problem = new Problem19(); break;
case 20: problem = new Problem20(); break;
case 67: problem = new Problem67(); break; case 67: problem = new Problem67(); break;
} }
return problem; return problem;

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@@ -0,0 +1,113 @@
//ProjectEuler/ProjectEulerCS/src/Problems/Problem19.cs
//Matthew Ellison
// Created: 08-27-20
//Modified: 08-27-20
//What is the sum of the digits of 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.Numerics;
namespace ProjectEulerCS.Problems{
public class Problem20 : Problem{
//Variables
//Static variables
private const int TOP_NUM = 100; //The largest number that will be multiplied
//Instance variables
private BigInteger num; //Holds the number 100!
public BigInteger Number{
get{
if(!solved){
throw new Unsolved();
}
return num;
}
}
public string NumberString{
get{
if(!solved){
throw new Unsolved();
}
return num.ToString();
}
}
private long sum; //THe sum of the digits of num
public long Sum{
get{
if(!solved){
throw new Unsolved();
}
return sum;
}
}
//Functions
//Constructor
public Problem20() : base("What is the sum of the digits of 100!?"){
num = 1;
sum = 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();
//Run through every number from 1 to 100 and multiply it by the current num to generate 100!
for(int cnt = TOP_NUM;cnt > 1;--cnt){
num *= cnt;
}
//Get a string of the number because it is easier to pull apart the individual characters
string numString = num.ToString();
//Run through every character in the string, convert it back to an integer and add it to the running sum
for(int cnt = 0;cnt < numString.Length;++cnt){
char digit = numString[cnt];
sum += (long)char.GetNumericValue(digit);
}
//Stop the timer
timer.Stop();
//Throw a flag to show the problem is solved
solved = true;
//Save the results
_result = TOP_NUM + "! = " + num + "\nThe sum of the digits is: " + sum;
}
//Reset the problem so it can be run again
public override void Reset(){
base.Reset();
num = 1;
sum = 0;
}
}
}
/* Results:
100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
The sum of the digits is: 648
It took an average of 11.740 microseconds to run this problem through 100 iterations
*/