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Added solution to problem 34
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@@ -36,7 +36,7 @@ public class ProblemSelection{
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public static final ArrayList<Integer> PROBLEM_NUMBERS = new ArrayList<Integer>(Arrays.asList( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
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11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
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31, 32, 33, 67));
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31, 32, 33, 34, 67));
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//Returns the problem corresponding to the given problem number
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public static Problem getProblem(Integer problemNumber){
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@@ -75,6 +75,7 @@ public class ProblemSelection{
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case 31 : problem = new Problem31(); break;
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case 32 : problem = new Problem32(); break;
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case 33 : problem = new Problem33(); break;
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case 34 : problem = new Problem34(); 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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125
src/main/java/mattrixwv/ProjectEuler/Problems/Problem34.java
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125
src/main/java/mattrixwv/ProjectEuler/Problems/Problem34.java
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@@ -0,0 +1,125 @@
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//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem33.java
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//Matthew Ellison
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// Created: 02-05-21
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//Modified: 02-07-21
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//Find the sum of all numbers which are equal to the sum of the factorial of their digits
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
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/*
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Copyright (C) 2021 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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package mattrixwv.ProjectEuler.Problems;
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import java.util.ArrayList;
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import mattrixwv.Algorithms;
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import mattrixwv.ProjectEuler.Unsolved;
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public class Problem34 extends Problem{
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//Variables
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//Static variables
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private static final int MAX_NUM = 1499999; //The largest num that can be the sum of its own digits
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//Instance variables
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private ArrayList<Integer> factorials; //Holds the pre-computed factorials of the numbers 0-9
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private int sum; //Holds the sum of all numbers equal to the sum of their digit's factorials
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//Functions
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//Constructor
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public Problem34(){
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super("Find the sum of all numbers which are equal to the sum of the factorial of their digits");
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sum = 0;
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factorials = new ArrayList<Integer>();
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for(int cnt = 0;cnt <= 9;++cnt){
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factorials.add(0);
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}
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}
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//Operational functions
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//Solve the problem
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public 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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//Pre-compute the possible factorials from 0! to 9!
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for(int cnt = 0;cnt <= 9;++cnt){
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factorials.set(cnt, Algorithms.factorial(cnt));
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}
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//Run through all possible numbers from 3-MAX_NUM and see if they equal the sum of their digit's factorials
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for(int cnt = 3;cnt < MAX_NUM;++cnt){
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//Split the number into its digits and add each one to the sum
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String numString = "" + cnt;
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int currentSum = 0;
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for(int charCnt = 0;charCnt < numString.length();++charCnt){
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Character digit = numString.charAt(charCnt);
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int tempNum = Integer.valueOf(digit.toString());
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currentSum += factorials.get(tempNum);
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}
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//If the number is equal to the sum add the sum to the running sum
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if(currentSum == cnt){
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sum += currentSum;
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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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//Reset the proble so it can be run again
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public void reset(){
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super.reset();
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sum = 0;
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factorials = new ArrayList<Integer>();
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for(int cnt = 0;cnt <= 9;++cnt){
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factorials.add(0);
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}
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}
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//Gets
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//Returns a string witht he solution to the problem
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public String getResult(){
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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 String.format("The sum of all numbers that are the sum of their digit's factorials is %d", sum);
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}
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//Returns the list of factorials from 0-9
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public ArrayList<Integer> getFactorials(){
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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 factorials;
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}
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//Returns the sum of all numbers equal to the sum of their digit's factorials
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public int getSum(){
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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 sum;
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}
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}
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/* Results:
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The sum of all numbers that are the sum of their digit's factorials is 40730
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It took an average of 78.889 milliseconds to run this problem through 100 iterations
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*/
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