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Updated to use new library layout
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@@ -1,11 +1,11 @@
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#ProjectEuler/Python/Problem29.py
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#Matthew Ellison
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# Created: 10-10-19
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#Modified: 10-30-20
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#Modified: 07-24-21
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#How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
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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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"""
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Copyright (C) 2020 Matthew Ellison
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Copyright (C) 2021 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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@@ -23,7 +23,6 @@
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from Problems.Problem import Problem
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from Unsolved import Unsolved
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class Problem29(Problem):
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@@ -35,13 +34,13 @@ class Problem29(Problem):
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#Functions
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#Constructor
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def __init__(self):
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def __init__(self) -> None:
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super().__init__("How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?")
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self.unique = []
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#Operational functions
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#Solve the problem
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def solve(self):
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def solve(self) -> None:
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#If the problem has already been solved do nothing and end the function
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if(self.solved):
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return
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@@ -49,6 +48,7 @@ class Problem29(Problem):
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#Start the timer
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self.timer.start()
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#Start with the first A and move towards the top
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for currentA in range(self.__bottomA, self.__topA + 1):
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#Start with the first B and move towards the top
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@@ -59,6 +59,7 @@ class Problem29(Problem):
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if currentNum not in self.unique:
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self.unique.append(currentNum)
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#Stop the timer
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self.timer.stop()
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@@ -66,47 +67,39 @@ class Problem29(Problem):
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self.solved = True
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#Reset the problem so it can be run again
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def reset(self):
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def reset(self) -> None:
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super().reset()
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self.unique.clear()
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#Gets
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#Returns the result of solving the problem
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def getResult(self):
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before you can see the result")
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def getResult(self) -> str:
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self.solvedCheck("result")
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return f"The number of unique values generated by a^b for {self.__bottomA} <= a < = {self.__topA} and {self.__bottomB} <= b <= {self.__topB} is {len(self.unique)}"
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#Returns the lowest possible value for a
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def getBottomA(self):
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before can you see the lowest possible A")
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def getBottomA(self) -> int:
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self.solvedCheck("lowest a")
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return self.__bottomA
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#Returns the lowest possible value for a
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def getTopA(self):
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before can you see the highest possible A")
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def getTopA(self) -> int:
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self.solvedCheck("highest a")
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return self.__topA
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#Returns the lowest possible value for a
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def getBottomB(self):
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before can you see the lowest possible B")
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def getBottomB(self) -> int:
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self.solvedCheck("lowest b")
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return self.__bottomB
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#Returns the lowest possible value for a
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def getTopB(self):
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before can you see the highest possible B")
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def getTopB(self) -> int:
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self.solvedCheck("highest b")
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return self.__topB
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#Returns a list of all unique values for a^b
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def getUnique(self) -> list:
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#If the problem hasn't been solved throw an exception
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if(not self.solved):
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raise Unsolved("You must solve the problem before can you see list of unique values")
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self.solvedCheck("unique values for a^b")
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return self.unique
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#Returns the number of unique values for a^b
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def getNumUnique(self) -> int:
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self.solvedCheck("number of unique values for a^b")
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return len(self.unique)
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""" Results:
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