Added solution to problem 34

This commit is contained in:
2021-06-01 18:44:27 -04:00
parent 48cf5d47e1
commit 2fa7cb7a79
3 changed files with 128 additions and 2 deletions

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@@ -33,7 +33,7 @@ namespace ProjectEulerCS{
{ 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, 29,
30, 31, 32, 33, 67};
30, 31, 32, 33, 34, 67};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; }
}
@@ -75,6 +75,7 @@ namespace ProjectEulerCS{
case 31: problem = new Problem31(); break;
case 32: problem = new Problem32(); break;
case 33: problem = new Problem33(); break;
case 34: problem = new Problem34(); break;
case 67: problem = new Problem67(); break;
}
return problem;

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@@ -27,7 +27,6 @@ If the product of these four fractions is given in its lowest common terms, find
*/
using System;
using System.Collections.Generic;

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@@ -0,0 +1,126 @@
//ProjectEuler/ProjectEulerCS/src/Problems/Problem34.cs
//Matthew Ellison
// Created: 06-01-21
//Modified: 06-01-21
//Find the sum of all numbers which are equal to the sum of the factorial of their digits
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/CSClasses
/*
Copyright (C) 2021 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;
using System.Collections.Generic;
namespace ProjectEulerCS.Problems{
public class Problem34 : Problem{
//Variables
//Static variables
private static readonly int MAX_NUM = 1499999; //The largest num that can be the sum of its own digits
//Instance variables
private readonly List<int> factorials; //Holds the pre-computed factorials of the numbers 0-9
private int sum; //Holds the sum of all numbers equal to the sum of their digit's factorials
//Gets
//The results of the problem
public override string Result{
get{
if(!solved){
throw new Unsolved();
}
return $"The sum of all numbers that are the sum of their digit's factorials is {sum}";
}
}
//Returns the list of factorials from 0-9
public List<int> Factorials{
get{
if(!solved){
throw new Unsolved();
}
return factorials;
}
}
//Returns the sum of all numbers equal to the sum of their digit's factorials
public int Sum{
get{
if(!solved){
throw new Unsolved();
}
return sum;
}
}
//Functions
//Constructor
public Problem34() : base("Find the sum of all numbers which are equal to the sum of the factorial of their digits"){
sum = 0;
factorials = new List<int>(10);
for(int cnt = 0;cnt <= 9; ++cnt){
factorials.Add(0);
}
}
//Operational functions
//Solve the problem
public override void Solve(){
//If the porblem has already been solved do nothing and end the function
if(solved){
return;
}
//Start the timer
timer.Start();
//Pre-compute the possible factorials from 0! to 9!
for(int cnt = 0;cnt <= 9;++cnt){
factorials[cnt] = mee.Algorithms.Factorial(cnt);
}
//Run through all possible numbers from 3-MAX_NUM and see if they equal the sum of their digit's factorials
for(int cnt = 3;cnt < MAX_NUM;++cnt){
//Split the number into its digits and add each one to the sum
string numString = cnt.ToString();
int currentSum = 0;
foreach(char number in numString){
int tempNum = (int)char.GetNumericValue(number);
currentSum += factorials[tempNum];
}
//If the number is equal to the sum add the sum to the running sum
if(currentSum == cnt){
sum += currentSum;
}
}
//Stop the timer
timer.Stop();
//Throw a flag to show the problem is solved
solved = true;
}
//Reset the problem so it can be run again
public override void Reset(){
base.Reset();
sum = 0;
factorials.Clear();
for(int cnt = 0;cnt <= 9;++cnt){
factorials.Add(0);
}
}
}
}
/* Results:
The sum of all numbers that are the sum of their digit's factorials is 40730
It took an average of 73.852 milliseconds to run this problem through 100 iterations
*/