Created solution to problem32

This commit is contained in:
2020-07-28 18:14:28 -04:00
parent bf1860856e
commit 250f73c9d6
3 changed files with 163 additions and 8 deletions

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@@ -35,7 +35,7 @@ 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, 67));
31, 32, 67));
//Returns the problem corresponding to the given problem number
public static Problem getProblem(Integer problemNumber){
@@ -72,6 +72,7 @@ public class ProblemSelection{
case 29 : problem = new Problem29(); break;
case 30 : problem = new Problem30(); break;
case 31 : problem = new Problem31(); break;
case 32 : problem = new Problem32(); break;
case 67 : problem = new Problem67(); break;
}
return problem;

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@@ -1,7 +1,7 @@
//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem31.java
//Matthew Ellison
// Created: 06-19-20
//Modified: 07-1920
//Modified: 07-19-20
//How many different ways can £2 be made using any number of coins?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
/*

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@@ -1,17 +1,171 @@
//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem32.java
//Matthew Ellison
// Created: 07-27-20
//Modified: 07-27-20
//Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
/*
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/>.
*/
package mattrixwv.ProjectEuler.Problems;
import java.util.ArrayList;
import mattrixwv.Algorithms;
import mattrixwv.ProjectEuler.Unsolved;
public class Problem32 extends Problem{
Problem32(){
super("");
//Structures
//Holds the set of numbers that make a product
private class ProductSet{
private int multiplicand;
private int multiplier;
public ProductSet(int multiplicand, int multiplier){
this.multiplicand = multiplicand;
this.multiplier = multiplier;
}
@SuppressWarnings("unused")
public int getMultiplicand(){
return multiplicand;
}
@SuppressWarnings("unused")
public int getMultiplier(){
return multiplier;
}
public int getProduct(){
return (multiplicand * multiplier);
}
@Override
public boolean equals(Object o){
//If an object is compared to itself return true
if(o == this){
return true;
}
//Check that the object is the correct type
if(!(o instanceof ProductSet)){
return false;
}
ProductSet secondSet = (ProductSet)o;
//Return true if the products are the same
return (getProduct() == secondSet.getProduct());
}
@Override
public String toString(){
return String.format("%d%d%d", multiplicand, multiplier, getProduct());
}
}
@Override
//Variables
//Static variables
private static final int TOP_MULTIPLICAND = 99; //The largest multiplicand to check
private static final int TOP_MULTIPLIER = 4999; //The largest multiplier to check
//Instance variables
ArrayList<ProductSet> listOfProducts; //The list of unique products that are 1-9 pandigital
long sumOfPandigitals; //The sum of the products of the pandigital numbers
//Functions
//Constructor
public Problem32(){
super("Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.");
listOfProducts = new ArrayList<ProductSet>();
sumOfPandigitals = 0;
}
//Operational functions
//Solve the problem
public void solve(){
//1X1-4
//2X1-3
//If the problem has already been solved do nothing and end the function
if(solved){
return;
}
//Start the timer
timer.start();
//Create the multiplicand and start working your way up
for(int multiplicand = 1;multiplicand <= TOP_MULTIPLICAND;++multiplicand){
//Run through all possible multipliers
for(int multiplier = multiplicand;multiplier <= TOP_MULTIPLIER;++multiplier){
ProductSet currentProductSet = new ProductSet(multiplicand, multiplier);
//If the product is too long move on to the next possible number
if(currentProductSet.toString().length() > 9){
break;
}
//If the current number is a pandigital that doesn't already exist in the list add it to the list
if(isPandigital(currentProductSet)){
if(!listOfProducts.contains(currentProductSet)){
listOfProducts.add(currentProductSet);
}
}
}
}
//Get the sum of the products of the pandigitals
for(ProductSet prod : listOfProducts){
sumOfPandigitals += prod.getProduct();
}
//Stop the timer
timer.stop();
//Save the results
result = String.format("There are %d unique 1-9 pandigitals\nThe sum of the products of these pandigitals is %d", listOfProducts.size(), sumOfPandigitals);
//Throw a flag to show the problem is solved
solved = true;
}
//Returns true if the passed productset is 1-9 pandigital
private boolean isPandigital(ProductSet currentSet){
//Get the numbers out of the object and put them into a string
String numberString = currentSet.toString();
//Make sure the string is the correct length
if(numberString.length() != 9){
return false;
}
//Make sure every number from 1-9 is contained exactly once
for(int panNumber = 1;panNumber <= 9;++panNumber){
//Make sure there is exactly one of this number contained in the string
final int tempNum = panNumber; //This is here because forDigit() wanted a final variable
if(Algorithms.findNumOccurrence(numberString, Character.forDigit(tempNum, 10)) != 1){
return false;
}
}
//If all numbers were found in the string return true
return true;
}
//Reset the problem so it can be run again
public void reset(){
super.reset();
listOfProducts.clear();
sumOfPandigitals = 0;
}
//Gets
//Returns the sum of the pandigitals
public long getSumOfPandigitals(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw new Unsolved();
}
return sumOfPandigitals;
}
}
/* Results:
There are 7 unique 1-9 pandigitals
The sum of the products of these pandigitals is 45228
It took an average of 63.456 milliseconds to run this problem through 100 iterations
*/