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synced 2025-12-06 17:43:58 -05:00
Updated run times and a few typos
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@@ -63,7 +63,7 @@ class Problem1(Problem):
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self.solved = True
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#Save the results
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self.result = "The sum of all number < " + str(self.__topNum + 1) + " is " + str(self.fullSum)
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self.result = "The sum of all numbers < " + str(self.__topNum + 1) + " is " + str(self.fullSum)
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#Reset the problem so it can be run again
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def reset(self):
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@@ -88,6 +88,6 @@ if(__name__ == "__main__"):
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print("It took " + problem.getTime() + " to solve this algorithm")
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"""Results:
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The sum of all the multiples of 3 or 5 is 233168
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It took 114.142 microseconds to run this algorithm
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The sum of all numbers < 1000 is 233168
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It took an average of 102.336 microseconds to run this problem through 100 iterations
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"""
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@@ -86,5 +86,5 @@ if __name__ == "__main__":
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"""Results:
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The sum of all the prime numbers less than 2000000 is 142913828922
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It took 5.926 seconds to run this algorithm
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It took an average of 7.187 seconds to run this problem through 100 iterations
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"""
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@@ -188,5 +188,5 @@ if __name__ == "__main__":
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"""Results:
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The greatest product of 3 numbers in a line is 70600674
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It took 1.162 milliseconds to run this algorithm
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It took an average of 1.071 milliseconds to run this problem through 100 iterations
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"""
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@@ -115,5 +115,5 @@ if __name__ == "__main__":
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"""Results:
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The first triangular number with more than 500 divisors is 76576500
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It took 2.898 seconds to run this algorithm
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It took an average of 5.932 seconds to run this problem through 100 iterations
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"""
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@@ -290,5 +290,5 @@ if __name__ == "__main__":
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"""Results:
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The sum of all 100 numbers is 5537376230390876637302048746832985971773659831892672
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The first 10 digits are: 5537376230
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It took 23.015 microseconds to run this algorithm
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It took an average of 2.694 microseconds to run this problem through 100 iterations
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"""
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@@ -112,6 +112,6 @@ if __name__ == "__main__":
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print("It took " + problem.getTime() + " to solve this algorithm")
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"""Results:
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The longest chain with a starting number < 1000000 is 837799 with a length of 525
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It took 28.893 seconds to run this algorithm
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The number 837799 produced a chain of 525 steps
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It took an average of 26.591 seconds to run this problem through 100 iterations
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"""
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@@ -4,8 +4,6 @@
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#Modified: 07-18-20
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#How many routes from the top left corner to the bottom right corner are there through a 20×20 grid if you can only move right and down?
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#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
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#There must be a better way than this. This is untested. I let it run for about 14 hours and it still hadn't spit an answer out for me
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#But it is programed exactly as I programmed the C++ solution, so the eventual answer should be correct
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"""
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Copyright (C) 2020 Matthew Ellison
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@@ -101,5 +99,6 @@ if __name__ == "__main__":
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print("It took " + problem.getTime() + " to solve this algorithm")
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"""Results:
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The number of paths from 1 corner of a 20 x 20 grid to the opposite corner is 137846528820
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It took 32.903 hours to solve this algorithm
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"""
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@@ -98,6 +98,6 @@ if __name__ == "__main__":
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"""Results:
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2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
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The sum of the digits is: 1366
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It took 86.206 microseconds to run this algorithm
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The sum of the elements is 1366
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It took an average of 57.271 microseconds to run this problem through 100 iterations
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"""
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@@ -204,5 +204,5 @@ if __name__ == "__main__":
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"""Results:
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The sum of all the letters in all the numbers 1-1000 is 21124
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It took 4.107 milliseconds to run this algorithm
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It took an average of 3.095 milliseconds to run this problem through 100 iterations
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"""
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@@ -190,5 +190,5 @@ if __name__ == "__main__":
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""" Results:
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The value of the longest path is 1074
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It took 654.691 microseconds to run this algorithm
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It took an average of 422.974 microseconds to run this problem through 100 iterations
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"""
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@@ -168,6 +168,10 @@ class Problem19(Problem):
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elif((year % 4) == 0):
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return True
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return False
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#Reset the problem so it can be run again
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def reset(self):
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super().reset()
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self.totalSundays = 0
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#Gets
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#Returns the total sundays that were asked for
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@@ -190,5 +194,5 @@ if __name__ == "__main__":
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""" Results:
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There are 171 Sundays that landed on the first of the month from 1901 to 2000
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It took 724.930 milliseconds to run this algorithm
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It took an average of 386.694 milliseconds to run this problem through 100 iterations
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"""
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@@ -60,7 +60,7 @@ class Problem2(Problem):
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self.timer.stop()
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#Save the results
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self.result = "The sum of all even Fibonacci numbers less than " + str(self.__topNumber) + " is " + str(self.fullSum)
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self.result = "The sum of all even Fibonacci numbers less than " + str(self.__topNumber + 1) + " is " + str(self.fullSum)
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#Throw a flag to show the problem is solved
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self.solved = True
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@@ -88,5 +88,5 @@ if __name__ == '__main__':
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"""Results:
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The sum of all even Fibonacci numbers less than 4000000 is 4613732
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It took 27.621 microseconds to run this algorithm
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It took an average of 10.286 microseconds to run this problem through 100 iterations
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"""
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@@ -98,5 +98,5 @@ if __name__ == "__main__":
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""" Results:
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100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
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The sum of the digits is: 648
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It took 99.670 microseconds to run this algorithm
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It took an average of 36.938 microseconds to run this problem through 100 iterations
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"""
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@@ -72,7 +72,7 @@ class Problem21(Problem):
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self.timer.stop()
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#Save the results
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self.result += "All amicable numbers less than 10000 are"
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self.result += "All amicable numbers less than 10000 are\n"
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for num in self.amicable:
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self.result += str(num) + '\n'
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self.result += "The sum of all of these amicable numbers is " + str(sum(self.amicable))
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@@ -121,5 +121,5 @@ All amicable numbers less than 10000 are
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6232
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6368
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The sum of all of these amicable numbers is 31626
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It took 59.496 milliseconds to run this algorithm
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It took an average of 54.769 milliseconds to run this problem through 100 iterations
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"""
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@@ -468,5 +468,5 @@ if __name__ == "__main__":
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""" Results:
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The answer to the question is 871198282
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It took 9.206 milliseconds to run this algorithm
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It took an average of 6.343 milliseconds to run this problem through 100 iterations
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"""
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@@ -124,5 +124,5 @@ if __name__ == "__main__":
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""" Results:
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The answer is 4179871
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It took 27.738 minutes to run this algorithm
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It took an average of 24.184 minutes to run this problem through 10 iterations
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"""
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@@ -92,5 +92,5 @@ if __name__ == "__main__":
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""" Results:
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The 1 millionth permutation is 2783915460
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It took 7.363 seconds to run this algorithm
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It took an average of 7.147 seconds to run this problem through 100 iterations
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"""
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@@ -95,5 +95,5 @@ if __name__ == "__main__":
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""" Results:
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The first Fibonacci number with 1000 digits is 1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816
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Its index is 4782
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It took 4.216 seconds to run this algorithm
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It took an average of 3.337 seconds to run this problem through 100 iterations
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"""
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@@ -122,5 +122,5 @@ if __name__ == "__main__":
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""" Results:
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The longest cycle is 982 digits long
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It is started with the number 983
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It took 182.704 milliseconds to run this algorithm
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It took an average of 139.229 milliseconds to run this problem through 100 iterations
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"""
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@@ -83,7 +83,7 @@ class Problem27(Problem):
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super().reset()
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self.topA = 0
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self.topB = 0
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self.topB = 0
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self.topN = 0
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self.primes.clear()
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#Gets
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@@ -120,5 +120,5 @@ if __name__ == "__main__":
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The greatest number of primes found is 70
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It was found with A = -61, B = 971
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The product of A and B is -59231
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It took 35.775 seconds to run this algorithm
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It took an average of 49.963 seconds to run this problem through 100 iterations
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"""
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@@ -148,5 +148,5 @@ if __name__ == "__main__":
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""" Results:
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The sum of the diagonals in the given grid is 669171001
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It took 197.764 milliseconds to run this algorithm
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It took an average of 212.747 milliseconds to run this problem through 100 iterations
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"""
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@@ -117,5 +117,5 @@ if __name__ == "__main__":
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""" Results:
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The number of unique values generated by a^b for 2 <= a < = 100 and 2 <= b <= 100 is 9183
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It took 304.630 milliseconds to run this algorithm
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It took an average of 304.306 milliseconds to run this problem through 100 iterations
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"""
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@@ -96,5 +96,5 @@ if __name__ == '__main__':
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"""Results:
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The largest prime factor of 600851475143 is 6857
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It took 1.685 seconds to run this algorithm
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It took an average of 2.084 seconds to run this problem through 100 iterations
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"""
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@@ -116,5 +116,5 @@ if __name__ == "__main__":
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""" Results:
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The sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839
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It took 3.284 seconds to run this algorithm
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It took an average of 4.068 seconds to run this problem through 100 iterations
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"""
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@@ -91,5 +91,5 @@ if __name__ == "__main__":
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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 2.653 milliseconds to run this algorithm
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It took an average of 5.519 milliseconds to run this problem through 100 iterations
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"""
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@@ -99,5 +99,5 @@ if __name__ == '__main__':
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"""Results:
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The largest palindrome made from the product of two 3-digit numbers is 906609
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It took 177.314 milliseconds to run this algorithm
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It took an average of 149.187 milliseconds to run this problem through 100 iterations
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"""
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@@ -103,5 +103,5 @@ if __name__ == '__main__':
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"""Results:
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The smallest positive number that is evenly divisible by all numbers 1-20 is 232792560
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It took 50.236 seconds to run this algorithm
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It took an average of 54.833 seconds to run this problem through 100 iterations
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"""
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@@ -102,5 +102,5 @@ if __name__ == '__main__':
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"""Results:
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The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
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It took 24.384 microseconds to run this algorithm
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It took an average of 14.266 microseconds to run this problem through 100 iterations
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"""
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@@ -360,5 +360,5 @@ if __name__ == "__main__":
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""" Results:
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The value of the longest path is 7273
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It took 16.483 seconds to run this algorithm
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It took an average of 8.244 seconds to run this problem through 100 iterations
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"""
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@@ -83,5 +83,5 @@ if __name__ == '__main__':
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"""Results:
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The 10001th prime number is 104743
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It took 139.545 milliseconds to run this algorithm
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It took an average of 109.101 milliseconds to run this problem through 100 iterations
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"""
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@@ -122,5 +122,5 @@ if __name__ == '__main__':
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"""Results:
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The largest product of 13 adjacent digits in the number is 23514624000
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The numbers are: 5576689664895
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It took 2.593 milliseconds to run this algorithm
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It took an average of 2.024 milliseconds to run this problem through 100 iterations
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"""
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@@ -84,7 +84,7 @@ class Problem9(Problem):
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self.a = 1
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self.b = 0
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self.c = 0
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found = False
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self.found = False
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#Gets
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#Returns the length of the first side
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@@ -124,5 +124,5 @@ if __name__ == "__main__":
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"""Results:
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The Pythagorean triplet where a + b + c = 1000 is 200 375 425
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The product of those numbers is 31875000
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It took 22.106 milliseconds to run this algorithm
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It took an average of 36.729 milliseconds to run this problem through 100 iterations
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"""
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@@ -1,2 +1,4 @@
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#!/bin/python3
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from Driver import Driver
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Driver.main()
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