Added solution to problem 31

This commit is contained in:
2020-06-19 20:01:35 -04:00
parent f4bdb66590
commit c25fb8c41c
2 changed files with 66 additions and 1 deletions

View File

@@ -17,7 +17,7 @@ public class Driver{
private 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,
67));
31, 67));
private static enum SELECTIONS{SOLVE, DESCRIPTION, LIST, EXIT, SIZE};
private static final Scanner input = new Scanner(System.in);
@@ -138,6 +138,7 @@ public class Driver{
case 28 : problem = new Problem28(); break;
case 29 : problem = new Problem29(); break;
case 30 : problem = new Problem30(); break;
case 31 : problem = new Problem31(); break;
case 67 : problem = new Problem67(); break;
}
return problem;

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@@ -0,0 +1,64 @@
//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem31.java
//Matthew Ellison
// Created: 06-19-20
//Modified: 06-19-20
//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
/*
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;
public class Problem31 extends Problem{
private static final int desiredValue = 200;
private int permutations;
public Problem31(){
super("How many different ways can 2 pounds be made using any number of coins?");
permutations = 0;
}
public void solve(){
//Start the timer
timer.start();
//Start with 200p and remove the necessary coins with each loop
for(int pound2 = desiredValue; pound2 >= 0;pound2 -= 200){
for(int pound1 = pound2;pound1 >= 0;pound1 -= 100){
for(int pence50 = pound1;pence50 >= 0;pence50 -= 50){
for(int pence20 = pence50;pence20 >= 0;pence20 -= 20){
for(int pence10 = pence20;pence10 >= 0;pence10 -= 10){
for(int pence5 = pence10;pence5 >= 0;pence5 -= 5){
for (int pence2 = pence5; pence2 >= 0; pence2 -= 2){
++permutations;
}
}
}
}
}
}
}
//Stop the timer
timer.stop();
//Save the result
result = String.format("There are %d ways to make 2 pounds with the given denominations of coins", permutations);
}
}
/* Results:
There are 73682 ways to make 2 pounds with the given denominations of coins
It took 17.899 microseconds to solve this problem.
*/