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Added solution to problem 31
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@@ -17,7 +17,7 @@ public class Driver{
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private 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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67));
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31, 67));
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private static enum SELECTIONS{SOLVE, DESCRIPTION, LIST, EXIT, SIZE};
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private static final Scanner input = new Scanner(System.in);
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@@ -138,6 +138,7 @@ public class Driver{
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case 28 : problem = new Problem28(); break;
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case 29 : problem = new Problem29(); break;
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case 30 : problem = new Problem30(); break;
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case 31 : problem = new Problem31(); 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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64
src/main/java/mattrixwv/ProjectEuler/Problems/Problem31.java
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64
src/main/java/mattrixwv/ProjectEuler/Problems/Problem31.java
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@@ -0,0 +1,64 @@
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//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem31.java
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//Matthew Ellison
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// Created: 06-19-20
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//Modified: 06-19-20
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//How many different ways can £2 be made using any number of coins?
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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) 2020 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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public class Problem31 extends Problem{
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private static final int desiredValue = 200;
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private int permutations;
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public Problem31(){
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super("How many different ways can 2 pounds be made using any number of coins?");
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permutations = 0;
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}
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public void solve(){
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//Start the timer
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timer.start();
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//Start with 200p and remove the necessary coins with each loop
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for(int pound2 = desiredValue; pound2 >= 0;pound2 -= 200){
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for(int pound1 = pound2;pound1 >= 0;pound1 -= 100){
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for(int pence50 = pound1;pence50 >= 0;pence50 -= 50){
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for(int pence20 = pence50;pence20 >= 0;pence20 -= 20){
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for(int pence10 = pence20;pence10 >= 0;pence10 -= 10){
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for(int pence5 = pence10;pence5 >= 0;pence5 -= 5){
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for (int pence2 = pence5; pence2 >= 0; pence2 -= 2){
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++permutations;
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}
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}
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}
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}
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}
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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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//Save the result
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result = String.format("There are %d ways to make 2 pounds with the given denominations of coins", permutations);
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}
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}
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/* Results:
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There are 73682 ways to make 2 pounds with the given denominations of coins
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It took 17.899 microseconds to solve this problem.
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*/
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