Added solution to problem 36

This commit is contained in:
2021-06-29 16:15:23 -04:00
parent 2c42098ea7
commit 727699a960
3 changed files with 119 additions and 3 deletions

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@@ -36,7 +36,7 @@ public class ProblemSelection{
public static final ArrayList<Integer> PROBLEM_NUMBERS = new ArrayList<Integer>(Arrays.asList( 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, 34, 35, 67));
31, 32, 33, 34, 35, 36, 67));
//Returns the problem corresponding to the given problem number
public static Problem getProblem(Integer problemNumber){
@@ -77,6 +77,7 @@ public class ProblemSelection{
case 33 : problem = new Problem33(); break;
case 34 : problem = new Problem34(); break;
case 35 : problem = new Problem35(); break;
case 36 : problem = new Problem36(); break;
case 67 : problem = new Problem67(); break;
}
return problem;

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@@ -1,6 +1,6 @@
//ProjectEulerJava/src/main/java/matrixwv/ProjectEuler/Problems/Problem35.java
//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem35.java
//Matthew Ellison
// Createe: 06-05-21
// Created: 06-05-21
//Modified: 06-05-21
//How many circular primes are there below one million?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses

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@@ -0,0 +1,115 @@
//ProjectEulerJava/str/main/java/mattrixwv/ProjectEuler/Problems/Problem36.java
//Matthew Ellison
// Created: 06-29-21
//Modified: 06-29-21
//Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
/*
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/>.
*/
package mattrixwv.ProjectEuler.Problems;
import java.util.ArrayList;
import mattrixwv.Algorithms;
import mattrixwv.ProjectEuler.Unsolved;
public class Problem36 extends Problem{
//Variables
//Static variables
private static final int MAX_NUM = 999999; //The largest number that will be checked
//Instance variables
private ArrayList<Integer> palindromes; //All numbers that are palindromes in base 10 and 2
private int sum; //The sum of all elements in the list of palindromes
//Functions
//Constructor
public Problem36(){
super("Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.");
palindromes = new ArrayList<Integer>();
sum = 0;
}
//Operational functions
//Solve the problem
public 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 1, check if it is a palindrome in base 10 and 2, and continue to MAX_NUM
for(int num = 1;num < MAX_NUM;++num){
//Check if num is a palindrome
if(Algorithms.isPalindrome(Integer.toString(num))){
//Convert num to base 2 and see if that is a palindrome
String binNum = Algorithms.toBin(num);
if(Algorithms.isPalindrome(binNum)){
//Add num to the list of palindromes
palindromes.add(num);
}
}
}
//Get the sum of all palindromes in the list
sum = Algorithms.getSum(palindromes);
//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 void reset(){
super.reset();
palindromes.clear();
sum = 0;
}
//Gets
//Returns a string with the solution to the problem
public String getResult(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw new Unsolved();
}
return String.format("The sum of all base 10 and base 2 palindromic numbers < %d is %d", MAX_NUM, sum);
}
//Return the List of palindromes < MAX_NUM
public ArrayList<Integer> getPalindromes(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw new Unsolved();
}
return palindromes;
}
//Return the sum of all elements in the List of palindromes
public int getSumOfPalindromes(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw new Unsolved();
}
return sum;
}
}
/* Results:
The sum of all base 10 and base 2 palindromic numbers < 999999 is 872187
It took an average of 39.606 milliseconds to run this problem through 100 iterations
*/