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205 lines
8.1 KiB
C++
205 lines
8.1 KiB
C++
//ProjectEuler/C++/Source/Problem11.cpp
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//MatthewEllison
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// Created: 09-29-18
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//Modified: 07-14-19
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//What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20×20 grid?
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/*
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08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
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49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
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81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
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52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
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22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
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24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
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32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
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67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
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24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
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21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
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78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
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16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
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86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
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19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
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04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
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88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
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04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
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20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
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20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
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01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
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*/
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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) 2019 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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#include <vector>
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#include <string>
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#include <sstream>
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#include "Stopwatch.hpp"
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#include "Algorithms.hpp"
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#include "../Headers/Problem.hpp"
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#include "../Headers/Problem11.hpp"
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std::vector<int> Problem11::grid[20] = {{ 8, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 8},
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{49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00},
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{81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65},
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{52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91},
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{22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80},
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{24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50},
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{32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70},
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{67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21},
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{24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72},
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{21, 36, 23, 9, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95},
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{78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 9, 53, 56, 92},
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{16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57},
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{86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58},
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{19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40},
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{04, 52, 8, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66},
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{88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69},
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{04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36},
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{20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16},
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{20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54},
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{01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48}};
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Problem11::Problem11() : Problem("What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20x20 grid?"){
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}
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void Problem11::solve(){
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//If the problem has already been solved do nothing and end the function
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if(solved){
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return;
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}
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std::vector<int> currentProduct; //This is a vector containing the numbers we are working on right now
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//Make sure both vectors have 4 slots
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for(int cnt = 0;cnt < 4;++cnt){
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greatestProduct.push_back(0);
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currentProduct.push_back(0);
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}
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//Start the timer
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timer.start();
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//Loop through every row and column
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for(unsigned int row = 0;row < 20;++row){
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for(unsigned int col = 0;col < grid[row].size();++col){
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bool left = false;
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bool right = false;
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bool down = false;
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//Check which direction you will be able to move
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///This used to be (col - 3) >= 1 which was more clear (When col was an int instead of an unsigned int)
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///We just need to make sure col is large enough for us to be able to look left
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if(col >= 4){
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left = true;
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}
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if((col + 3) < grid[row].size()){
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right = true;
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}
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if((row + 3) < 20){
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down = true;
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}
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//Check the directions you are able to go
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//Right
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if(right){
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//Fill the product
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currentProduct.at(0) = grid[row].at(col);
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currentProduct.at(1) = grid[row].at(col + 1);
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currentProduct.at(2) = grid[row].at(col + 2);
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currentProduct.at(3) = grid[row].at(col + 3);
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//If the current numbers' product is greater than the greatest product replace it
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if(mee::getProduct(currentProduct) > mee::getProduct(greatestProduct)){
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greatestProduct = currentProduct;
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}
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}
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//Down
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if(down){
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//Fill the product
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currentProduct.at(0) = grid[row].at(col);
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currentProduct.at(1) = grid[row + 1].at(col);
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currentProduct.at(2) = grid[row + 2].at(col);
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currentProduct.at(3) = grid[row + 3].at(col);
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//If the current numbers' product is greater than the greatest product replace it
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if(mee::getProduct(currentProduct) > mee::getProduct(greatestProduct)){
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greatestProduct = currentProduct;
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}
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}
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//LeftDown
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if(left && down){
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//Fill the product
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currentProduct.at(0) = grid[row].at(col);
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currentProduct.at(1) = grid[row + 1].at(col - 1);
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currentProduct.at(2) = grid[row + 2].at(col - 2);
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currentProduct.at(3) = grid[row + 3].at(col - 3);
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//If the current numbers' product is greater than the greatest product replace it
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if(mee::getProduct(currentProduct) > mee::getProduct(greatestProduct)){
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greatestProduct = currentProduct;
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}
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}
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//RightDown
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if(right && down){
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//Fill the product
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currentProduct.at(0) = grid[row].at(col);
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currentProduct.at(1) = grid[row + 1].at(col + 1);
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currentProduct.at(2) = grid[row + 2].at(col + 2);
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currentProduct.at(3) = grid[row + 3].at(col + 3);
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//If the current numbers' product is greater than the greatest product replace it
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if(mee::getProduct(currentProduct) > mee::getProduct(greatestProduct)){
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greatestProduct = currentProduct;
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}
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}
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}
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}
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//Stop the timer
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timer.stop();
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//Throw a flag to show the problem is solved
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solved = true;
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}
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std::string Problem11::getString() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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std::stringstream results;
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results << "The greatest product of 4 number in a line is " << mee::getProduct(greatestProduct)
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<< "\nThe numbers are " << greatestProduct.at(0) << ' ' << greatestProduct.at(1) << ' ' << greatestProduct.at(2) << ' ' << greatestProduct.at(3);
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return results.str();
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}
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std::vector<int> Problem11::getNumbers() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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return greatestProduct;
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}
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int Problem11::getProduct() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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return mee::getProduct(greatestProduct);
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}
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