Added solution to problem 31

This commit is contained in:
2020-06-19 19:57:59 -04:00
parent b74622351e
commit a7d960c3b1
5 changed files with 175 additions and 34 deletions

52
Headers/Problem31.hpp Normal file
View File

@@ -0,0 +1,52 @@
//ProjectEuler/C++/Headers/Problem31.hpp
//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/myClasses
/*
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/>.
*/
#ifndef PROBLEM31_HPP
#define PROBLEM31_HPP
#include <string>
#include <vector>
#include "Problem.hpp"
class Problem31 : public Problem{
private:
static int desiredValue;
int permutations;
public:
Problem31();
virtual void solve();
virtual std::string getString() const;
//Returns the number of correct permutations of the coins
int getPermutations() const;
};
/* Results:
There are 73682 ways to make 2 pounds with the given denominations of coins
It took 0.000 nanoseconds to solve this problem.
*/
#endif //PROBLEM31_HPP

32
Problems.hpp Normal file
View File

@@ -0,0 +1,32 @@
#include "Headers/Problem1.hpp"
#include "Headers/Problem2.hpp"
#include "Headers/Problem3.hpp"
#include "Headers/Problem4.hpp"
#include "Headers/Problem5.hpp"
#include "Headers/Problem6.hpp"
#include "Headers/Problem7.hpp"
#include "Headers/Problem8.hpp"
#include "Headers/Problem9.hpp"
#include "Headers/Problem10.hpp"
#include "Headers/Problem11.hpp"
#include "Headers/Problem12.hpp"
#include "Headers/Problem13.hpp"
#include "Headers/Problem14.hpp"
#include "Headers/Problem15.hpp"
#include "Headers/Problem16.hpp"
#include "Headers/Problem17.hpp"
#include "Headers/Problem18.hpp"
#include "Headers/Problem19.hpp"
#include "Headers/Problem20.hpp"
#include "Headers/Problem21.hpp"
#include "Headers/Problem22.hpp"
#include "Headers/Problem23.hpp"
#include "Headers/Problem24.hpp"
#include "Headers/Problem25.hpp"
#include "Headers/Problem26.hpp"
#include "Headers/Problem27.hpp"
#include "Headers/Problem28.hpp"
#include "Headers/Problem29.hpp"
#include "Headers/Problem30.hpp"
#include "Headers/Problem31.hpp"
#include "Headers/Problem67.hpp"

86
Source/Problem31.cpp Normal file
View File

@@ -0,0 +1,86 @@
//ProjectEuler/C++/Source/Problem31.cpp
//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/myClasses
/*
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/>.
*/
#include <string>
#include <sstream>
#include <vector>
#include "../Headers/Problem31.hpp"
int Problem31::desiredValue = 200;
Problem31::Problem31() : Problem("How many different ways can 2 pounds be made using any number of coins?"){
permutations = 0;
}
void Problem31::solve(){
//If the problem has alread been solved do nothing and end the function
if(solved){
return;
}
//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();
//Throw a flag to show the problem is solved
solved = true;
}
std::string Problem31::getString() const{
//If the problem hasn't been solved throw an exception
if(!solved){
throw unsolved();
}
std::stringstream results;
results << "There are " << permutations << " ways to make 2 pounds with the given denominations of coins";
return results.str();
}
//Returns the number of correct permutations of the coins
int Problem31::getPermutations() const{
return permutations;
}

View File

@@ -1,7 +1,7 @@
//ProjectEuler/C++/main.cpp
//Matthew Ellison
// Created: 07-04-19
//Modified: 07-08-19
//Modified: 06-19-20
//This is a driver function for all Project Euler problems
//It prompts the user for an action (state the problem or solve the problem), then executes the appropriate command on the appropriate problem
@@ -10,37 +10,7 @@
#include <vector>
#include "Algorithms.hpp"
#include "Headers/Problem.hpp"
#include "Headers/Problem1.hpp"
#include "Headers/Problem2.hpp"
#include "Headers/Problem3.hpp"
#include "Headers/Problem4.hpp"
#include "Headers/Problem5.hpp"
#include "Headers/Problem6.hpp"
#include "Headers/Problem7.hpp"
#include "Headers/Problem8.hpp"
#include "Headers/Problem9.hpp"
#include "Headers/Problem10.hpp"
#include "Headers/Problem11.hpp"
#include "Headers/Problem12.hpp"
#include "Headers/Problem13.hpp"
#include "Headers/Problem14.hpp"
#include "Headers/Problem15.hpp"
#include "Headers/Problem16.hpp"
#include "Headers/Problem17.hpp"
#include "Headers/Problem18.hpp"
#include "Headers/Problem19.hpp"
#include "Headers/Problem20.hpp"
#include "Headers/Problem21.hpp"
#include "Headers/Problem22.hpp"
#include "Headers/Problem23.hpp"
#include "Headers/Problem24.hpp"
#include "Headers/Problem25.hpp"
#include "Headers/Problem26.hpp"
#include "Headers/Problem27.hpp"
#include "Headers/Problem28.hpp"
#include "Headers/Problem29.hpp"
#include "Headers/Problem30.hpp"
#include "Headers/Problem67.hpp"
#include "Problems.hpp"
//Some helper functions to help with the menus
@@ -61,7 +31,7 @@ enum MenuOptions {SOLVE = 1, DESCRIPTION, LIST, EXIT, SIZE};
std::vector<unsigned int> PROBLEM_NUMBERS = {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};
int main(){
int selection = 0; //Holds the menu selection of the user
@@ -177,6 +147,7 @@ Problem* getProblem(unsigned int problemNumber){
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;
}

View File

@@ -3,7 +3,7 @@ NUMCORESWIN = ${NUMBER_OF_PROCESSORS}
LIBFLAGS = -shared -std=c++17 -O3 -fPIC -Wall
EXEFLAGS = -Wall -std=c++11 -O3 -Wl,-rpath,'$$ORIGIN/lib'
LINKEDLIBS = -lgmp -lgmpxx
PROBLEM_NUMBERS = 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
PROBLEM_NUMBERS = 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
PROBLEM_FILES = $(patsubst %,Source/libProblem%.cpp,$(PROBLEM_NUMBERS))
LIBDIR = ./lib
LIBS = $(patsubst %, -lProblem%,$(PROBLEM_NUMBERS))