Added solution to problem 37

This commit is contained in:
2021-07-01 11:36:26 -04:00
parent ebdb92dc2f
commit fd54eb90d8
6 changed files with 217 additions and 3 deletions

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@@ -62,6 +62,7 @@
#include "Problems/Problem34.hpp" #include "Problems/Problem34.hpp"
#include "Problems/Problem35.hpp" #include "Problems/Problem35.hpp"
#include "Problems/Problem36.hpp" #include "Problems/Problem36.hpp"
#include "Problems/Problem37.hpp"
#include "Problems/Problem67.hpp" #include "Problems/Problem67.hpp"
@@ -69,7 +70,7 @@
std::vector<unsigned int> PROBLEM_NUMBERS = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 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, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
31, 32, 33, 34, 35, 36, 67}; 31, 32, 33, 34, 35, 36, 37, 67};
//This function returns a pointer to a problem of type number //This function returns a pointer to a problem of type number
Problem* getProblem(unsigned int problemNumber){ Problem* getProblem(unsigned int problemNumber){
@@ -113,6 +114,7 @@ Problem* getProblem(unsigned int problemNumber){
case 34 : problem = new Problem34; break; case 34 : problem = new Problem34; break;
case 35 : problem = new Problem35; break; case 35 : problem = new Problem35; break;
case 36 : problem = new Problem36; break; case 36 : problem = new Problem36; break;
case 37 : problem = new Problem37; break;
case 67 : problem = new Problem67; break; case 67 : problem = new Problem67; break;
} }

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@@ -40,6 +40,7 @@ private:
std::vector<int> palindromes; //All numbers that are palindromes in base 10 and 2 std::vector<int> palindromes; //All numbers that are palindromes in base 10 and 2
int sum; //The sum of all elements in the vector palindromes int sum; //The sum of all elements in the vector palindromes
public: public:
//Functions
//Constructor //Constructor
Problem36(); Problem36();
//Operational functions //Operational functions

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@@ -0,0 +1,60 @@
//ProjectEuler/ProjectEulerCPP/headers/Problems/Problem37.hpp
//Matthew Ellison
// Created: 06-30-21
//Modified: 06-30-21
//Find the sum of the only eleven primes that are both truncatable from left to right and right to left (2, 3, 5, and 7 are not counted).
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
/*
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/>.
*/
#ifndef PROBLEM37_HPP
#define PROBLEM37_HPP
#include <string>
#include <vector>
#include "Problem.hpp"
class Problem37 : public Problem{
private:
//Variables
//Static variables
static uint64_t LAST_PRIME_BEFORE_CHECK; //The last prime before 11 since single digit primes aren't checked
//Instance variables
std::vector<uint64_t> truncPrimes; //All numbers that are truncatable primes
uint64_t sum; //The sum of all elements in truncPrimes
public:
//Functions
//Constructor
Problem37();
//Operational functions
virtual void solve(); //Solve the problem
virtual void reset(); //Reset the problem so it can be run again
//Gets
virtual std::string getResult(); //Returns a string with the solution to the problem
std::vector<uint64_t> getTruncatablePrimes(); //Returns the list of primes that can be truncated
uint64_t getSumOfPrimes(); //Get the sum of all primes in truncPrimes
};
/* Results:
The sum of all left and right truncatable primes is 748317
It took an average of 63.831 milliseconds to run this problem over 100 iterations
*/
#endif //PROBLEM37_HPP

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@@ -3,7 +3,7 @@ NUMCORESWIN = ${NUMBER_OF_PROCESSORS}
LIBFLAGS = -shared -std=c++17 -O3 -fPIC -Wall LIBFLAGS = -shared -std=c++17 -O3 -fPIC -Wall
EXEFLAGS = -Wall -std=c++17 -O3 -Wl,-rpath,'$$ORIGIN/lib' EXEFLAGS = -Wall -std=c++17 -O3 -Wl,-rpath,'$$ORIGIN/lib'
LINKEDLIBS = -lgmp -lgmpxx 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 31 32 33 34 35 36 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 32 33 34 35 36 37 67
SOURCE_DIR = src SOURCE_DIR = src
PROBLEM_DIR = $(SOURCE_DIR)/Problems PROBLEM_DIR = $(SOURCE_DIR)/Problems
INCLUDE_DIR = headers INCLUDE_DIR = headers

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@@ -27,7 +27,6 @@
#include <vector> #include <vector>
#include "Problems/Problem36.hpp" #include "Problems/Problem36.hpp"
#include "Algorithms.hpp" #include "Algorithms.hpp"
#include <iostream>
//The largest number that will be checked //The largest number that will be checked

152
src/Problems/Problem37.cpp Normal file
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@@ -0,0 +1,152 @@
//ProjectEuler/ProjectEulerCPP/src/Problems/Problem37.cpp
//Matthew Ellison
// Created: 06-30-21
//Modified: 06-30-21
//Find the sum of the only eleven primes that are both truncatable from left to right and right to left (2, 3, 5, and 7 are not counted).
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
/*
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/>.
*/
#include <cinttypes>
#include <string>
#include <sstream>
#include <vector>
#include "Problems/Problem37.hpp"
#include "Algorithms.hpp"
//The last prime before 11 since single digit primes aren't checked
uint64_t Problem37::LAST_PRIME_BEFORE_CHECK = 7;
//Constructor
Problem37::Problem37() : Problem("Find the sum of the only eleven primes that are both truncatable from left to right and right to left (2, 3, 5, and 7 are not counted)."), sum(0){
}
//Operational functions
//Solve the problem
void Problem37::solve(){
//If the problem has already been solved do nothing and end the function
if(solved){
return;
}
//Start the timer
timer.start();
//Create the sieve and get the first prime number
mee::SieveOfEratosthenes<uint64_t> sieve;
uint64_t currentPrime = sieve.next();
//Loop through the sieve until you get to LAST_PRIME_BEFORE_CHECK
while(currentPrime < LAST_PRIME_BEFORE_CHECK){
currentPrime = sieve.next();
}
//Loop until truncPrimes contains 11 elements
while(truncPrimes.size() < 11){
bool isTruncPrime = true;
//Get the next prime
currentPrime = sieve.next();
//Convert the prime to a string
std::string primeString = std::to_string(currentPrime);
//If the string contains an even digit move to the next prime
for(uint64_t strLoc = 0;(strLoc < primeString.size()) && (isTruncPrime);++strLoc){
//Allow 2 to be the first digit
if((strLoc == 0) && (primeString[strLoc] == '2')){
continue;
}
switch(primeString[strLoc]){
case '0' :
case '2' :
case '4' :
case '6' :
case '8' : isTruncPrime = false; break;
}
}
//Start removing digits from the left and see if the number stays prime
if(isTruncPrime){
for(uint64_t truncLoc = 1;truncLoc < primeString.size();++truncLoc){
//Create a substring of the prime, removing the needed digits from the left
std::string primeSubstring = primeString.substr(truncLoc);
//Convert the string to an int and see if the number is still prime
uint64_t newPrime = std::stoull(primeSubstring);
if(!mee::isPrime(newPrime)){
isTruncPrime = false;
break;
}
}
}
//Start removing digits from the right and see if the number stays prime
if(isTruncPrime){
for(uint64_t truncLoc = 1;truncLoc < primeString.size();++truncLoc){
//Create a substring of the prime, removing the needed digits from the right
std::string primeSubstring = primeString.substr(0, primeString.size() - truncLoc);
//Convert the string to an int and see if the number is still prime
uint64_t newPrime = std::stoull(primeSubstring);
if(!mee::isPrime(newPrime)){
isTruncPrime = false;
break;
}
}
}
//If the number remained prime through all operations add it to the vector
if(isTruncPrime){
truncPrimes.push_back(currentPrime);
}
}
//Get the sum of all elements in the truncPrimes vector
sum = mee::getSum(truncPrimes);
//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
void Problem37::reset(){
Problem::reset();
truncPrimes.clear();
sum = 0;
}
//Gets
//Returns a string with the solution to the problem
std::string Problem37::getResult(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw Unsolved();
}
std::stringstream result;
result << "The sum of all left and right truncatable primes is " << sum;
return result.str();
}
//Returns the list of primes that can be truncated
std::vector<uint64_t> Problem37::getTruncatablePrimes(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw Unsolved();
}
return truncPrimes;
}
//Get the sum of all primes in truncPrimes
uint64_t Problem37::getSumOfPrimes(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw Unsolved();
}
return sum;
}