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95 lines
3.0 KiB
C++
95 lines
3.0 KiB
C++
//ProjectEuler/ProjectEulerCPP/headers/Problems/Problem18.hpp
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//Matthew Ellison
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// Created: 11-01-18
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//Modified: 07-02-21
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//Find the maximum total from top to bottom
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/*
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75
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95 64
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17 47 82
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18 35 87 10
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20 04 82 47 65
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19 01 23 75 03 34
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88 02 77 73 07 63 67
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99 65 04 28 06 16 70 92
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41 41 26 56 83 40 80 70 33
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41 48 72 33 47 32 37 16 94 29
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53 71 44 65 25 43 91 52 97 51 14
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70 11 33 28 77 73 17 78 39 68 17 57
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91 71 52 38 17 14 91 43 58 50 27 29 48
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63 66 04 68 89 53 67 30 73 16 69 87 40 31
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04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
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*/
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//This is done using a breadth first search
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
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/*
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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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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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#ifndef PROBLEM18_HPP
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#define PROBLEM18_HPP
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#include <list>
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#include <string>
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#include <vector>
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#include "Problem.hpp"
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class Problem18 : public Problem{
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private:
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//Structures
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//A structure to hold the location data for a point on the map
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struct location{
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int xLocation;
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int yLocation;
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int total;
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bool fromRight;
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location(int x, int y, int t, bool r) : xLocation(x), yLocation(y), total(t), fromRight(r){}
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};
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//Variables
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//Instance variables
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std::list<location> foundPoints; //For the points that I have already found the shortest distance to
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std::list<location> possiblePoints; //For the locations you are checking this round
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int actualTotal; //The true total of the path from the top to the bottom
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//Functions
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void invert(); //This list turns every number in the vector into 100 - num
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void setupList(); //Setup the list of numbers
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protected:
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//Variables
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//Static variables
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static std::vector<std::vector<int>> list; //Setup the list you are trying to find a path through
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public:
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//Constructor
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Problem18();
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//Operational functions
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virtual void solve(); //Solve the problem
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virtual void reset(); //Reset the problem so it can be run again
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//Gets
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virtual std::string getResult() const; //Return a string with the solution to the problem
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std::string getPyramid() const; //Returns the pyramid that was traversed as a string
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std::string getTrail() const; //Returns the trail the algorithm took as a string
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int getTotal() const; //Returns the total that was asked for
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};
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/* Results:
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The value of the longest path is 1074
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It took an average of 9.925 microseconds to run this problem over 100 iterations
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*/
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#endif //PROBLEM18_HPP
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