Added solution to problem 37

ProblemSelection.py

@@ -58,6 +58,7 @@ from Problems.Problem33 import Problem33
 from Problems.Problem34 import Problem34
 from Problems.Problem35 import Problem35
 from Problems.Problem36 import Problem36
+from Problems.Problem37 import Problem37
 from Problems.Problem67 import Problem67
 
 
@@ -66,7 +67,7 @@ class ProblemSelection:
 	problemNumbers = [ 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, 32, 33, 34, 35, 36, 67]
+						  31, 32, 33, 34, 35, 36, 37, 67]
 
 	#Returns the problem corresponding to the given problem number
 	@staticmethod
@@ -143,6 +144,8 @@ class ProblemSelection:
 			return Problem35()
 		elif(problemNumber == 36):
 			return Problem36()
+		elif(problemNumber == 37):
+			return Problem37()
 		elif(problemNumber == 67):
 			return Problem67()
 

Problems/Problem37.py

@@ -0,0 +1,137 @@
+#ProjectEuler/ProjectEulerPython/Problems/Problem37.py
+#Matthew Ellison
+# Created: 07-01-21
+#Modified: 07-01-21
+#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 of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
+"""
+	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/>.
+"""
+
+
+from Problems.Problem import Problem
+from Unsolved import Unsolved
+
+import Algorithms
+
+
+class Problem37(Problem):
+	#Variables
+	__last_prime_before_check = 7	#The last prime before 11 since single digit primes aren't checked
+
+	#Functions
+	#Constructor
+	def __init__(self):
+		super().__init__("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).")
+		self.truncPrimes = []	#All numbers that are truncatable primes
+		self.sumOfTruncPrimes = 0	#The sum of all elements in truncPrimes
+
+	#Operational functions
+	#Solve the problem
+	def solve(self):
+		#If the problem has already been solved do nothing and end the function
+		if(self.solved):
+			return
+
+		#Start the timer
+		self.timer.start()
+
+		#Create the sieve and get the first prime number
+		sieve = Algorithms.primeGenerator()
+		currentPrime = next(sieve)
+		#Loop through the sieve until you get to __last_prime_before_check
+		while(currentPrime < self.__last_prime_before_check):
+			currentPrime = next(sieve)
+		#Loop until truncPrimes contains 11 elements
+		while(len(self.truncPrimes) < 11):
+			isTruncPrime = True
+			#Get the next prime
+			currentPrime = next(sieve)
+			#Convert the prime to a string
+			primeString = str(currentPrime)
+			#If the string contains an even digit move to the next prime
+			for strLoc in range(0, len(primeString)):
+				#Allow 2 to be the first digit
+				if((strLoc == 0) and (primeString[strLoc] == '2')):
+					continue
+				if((primeString[strLoc] == '0') or (primeString[strLoc] == '2') or (primeString[strLoc] == '4') or (primeString[strLoc] == '6') or (primeString[strLoc] == '8')):
+					isTruncPrime = False
+					break
+			#Start removing digits from the left and see if the number stays prime
+			if(isTruncPrime):
+				for truncLoc in range(1, len(primeString)):
+					#Create a substring of the prime, removing the needed digits from the left
+					primeSubstring = primeString[truncLoc::]
+					#Convert the string to an int and see if the number is still prime
+					newPrime = int(primeSubstring)
+					if(not Algorithms.isPrime(newPrime)):
+						isTruncPrime = False
+						break
+			#Start removing digits from the right and see if the number stays prime
+			if(isTruncPrime):
+				for truncLoc in range(1, len(primeString)):
+					#Create a substring of the prime, removing the needed digits from the right
+					primeSubstring = primeString[0:len(primeString) - truncLoc]
+					#Convert the string to an int and see if the number is still prime
+					newPrime = int(primeSubstring)
+					if(not Algorithms.isPrime(newPrime)):
+						isTruncPrime = False
+						break
+			#If the number remained prime through all operations add it to the vector
+			if(isTruncPrime):
+				self.truncPrimes.append(currentPrime)
+			#End the loop if we have collected enough primes
+			if(len(self.truncPrimes) == 11):
+				break
+		#Get the sum of all elements in the truncPrimes vector
+		self.sumOfTruncPrimes = sum(self.truncPrimes)
+
+		#Stop the timer
+		self.timer.stop()
+
+		#Throw a flag to show the problem is solved
+		self.solved = True
+
+	#Reset the problem so it can be run again
+	def reset(self):
+		super().reset()
+		self.truncPrimes = []
+		self.sumOfTruncPrimes = 0
+
+	#Gets
+	#Returns a string with the solution to the problem
+	def getResult(self) -> str:
+		#If the problem hasn't been solved throw an exception
+		if(not self.solved):
+			raise Unsolved("You must solve the porblem before you can see the result")
+		return f"The sum of all left and right truncatable primes is {self.sumOfTruncPrimes}"
+	#Returns the list of primes that can be truncated
+	def getTruncatablePrimes(self) -> list:
+		#If the problem hasn't been solved throw an exception
+		if(not self.solved):
+			raise Unsolved("You must solve the porblem before you can see the truncatable primes")
+		return self.truncPrimes
+	#Returns the sum of all elements in truncPrimes
+	def getSumOfPrimes(self) -> int:
+		#If the problem hasn't been solved throw an exception
+		if(not self.solved):
+			raise Unsolved("You must solve the porblem before you can see the sum of the truncatable primes")
+		return self.sumOfTruncPrimes
+
+""" Results:
+The sum of all left and right truncatable primes is 748317
+It took an average of 224.657 milliseconds to run this problem through 100 iterations
+"""