From 63708b8858e8905d16b6e711beb4e28fe742535a Mon Sep 17 00:00:00 2001 From: JamesFlare Date: Wed, 12 Mar 2025 12:07:37 -0400 Subject: [PATCH] add solution for lab 6 --- labs/recursion/checkpoint1 | Bin 0 -> 34184 bytes labs/recursion/checkpoint1.cpp | 27 ++++++++ labs/recursion/checkpoint2 | Bin 0 -> 205352 bytes labs/recursion/checkpoint2.cpp | 89 ++++++++++++++++++++++++ labs/recursion/checkpoint3 | Bin 0 -> 293032 bytes labs/recursion/checkpoint3.cpp | 122 +++++++++++++++++++++++++++++++++ 6 files changed, 238 insertions(+) create mode 100755 labs/recursion/checkpoint1 create mode 100644 labs/recursion/checkpoint1.cpp create mode 100755 labs/recursion/checkpoint2 create mode 100644 labs/recursion/checkpoint2.cpp create mode 100755 labs/recursion/checkpoint3 create mode 100644 labs/recursion/checkpoint3.cpp diff --git a/labs/recursion/checkpoint1 b/labs/recursion/checkpoint1 new file mode 100755 index 0000000000000000000000000000000000000000..56e4507e497ed2b2fa57a37dd2005d0d27103b7a 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a/labs/recursion/checkpoint1.cpp b/labs/recursion/checkpoint1.cpp new file mode 100644 index 0000000..0139eca --- /dev/null +++ b/labs/recursion/checkpoint1.cpp @@ -0,0 +1,27 @@ +#include +using namespace std; + +int countPaths(int x, int y) { + // if we are at the origin, there is 1 path + if (x == 0 && y == 0) return 1; + + int paths = 0; + + // Move left if x > 0 + if (x > 0) paths += countPaths(x - 1, y); + + // Move up if y > 0 + if (y > 0) paths += countPaths(x, y - 1); + + return paths; +} + +int main() { + int start_x, start_y; + cout << "Enter the starting coordinates (x, y): "; + cin >> start_x >> start_y; + + int result = countPaths(start_x, start_y); + cout << "Number of paths to the origin: " << result << endl; + return 0; +} diff --git a/labs/recursion/checkpoint2 b/labs/recursion/checkpoint2 new file mode 100755 index 0000000000000000000000000000000000000000..63f0ee7e18cc94ed9cadc52e7ad419fe08cf657a GIT binary patch literal 205352 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+class Point { +public: + Point(int x0, int y0) : x(x0), y(y0) {} + int x, y; +}; + +void read_grid(std::istream& istr, std::vector>& blocked_grid, int& start_x, int& start_y) { + int x, y; + int max_x = 0, max_y = 0; + std::list blocked_points; + while ((istr >> x >> y) && !(x == 0 && y == 0)) { + blocked_points.push_back(Point(x, y)); + if (x > max_x) max_x = x; + if (y > max_y) max_y = y; + } + + istr >> start_x >> start_y; + if (start_x > max_x) max_x = start_x; + if (start_y > max_y) max_y = start_y; + + std::vector one_row_of_ys(max_y + 1, GRID_CLEAR); + std::vector> empty_grid(max_x + 1, one_row_of_ys); + blocked_grid = empty_grid; + + for (Point& p : blocked_points) { + blocked_grid[p.x][p.y] = GRID_BLOCKED; + } +} + +void print_grid(const std::vector>& blocked_grid, unsigned int start_x, unsigned int start_y) { + std::cout << "Grid visualization:\n"; + for (unsigned int y = 0; y < blocked_grid[0].size(); ++y) { + for (unsigned int x = 0; x < blocked_grid.size(); ++x) { + if (x == start_x && y == start_y) + std::cout << " S"; + else if (blocked_grid[x][y] == GRID_BLOCKED) + std::cout << " X"; + else + std::cout << " ."; + } + std::cout << std::endl; + } +} + +int countPaths(int x, int y, const std::vector>& blocked_grid) { + // Base case: if we are at the origin, there is 1 path + if (x == 0 && y == 0) return 1; + + // If the current cell is blocked, return 0 + if (blocked_grid[x][y] == GRID_BLOCKED) return 0; + + int paths = 0; + + // Move left if x > 0 + if (x > 0) paths += countPaths(x - 1, y, blocked_grid); + + // Move up if y > 0 + if (y > 0) paths += countPaths(x, y - 1, blocked_grid); + + return paths; +} + +int main(int argc, char* argv[]) { + if (argc != 2) { + std::cerr << "Usage: " << argv[0] << " grid-file" << std::endl; + return 1; + } + std::ifstream istr(argv[1]); + if (!istr) { + std::cerr << "Could not open " << argv[1] << std::endl; + return 1; + } + + std::vector> blocked_grid; + int start_x, start_y; + read_grid(istr, blocked_grid, start_x, start_y); + print_grid(blocked_grid, start_x, start_y); + + int result = countPaths(start_x, start_y, blocked_grid); + std::cout << "Number of legal paths to the origin: " << result << std::endl; + return 0; +} diff --git a/labs/recursion/checkpoint3 b/labs/recursion/checkpoint3 new file mode 100755 index 0000000000000000000000000000000000000000..d272deb2c2203dd39e19261ba4a735fda817a069 GIT binary patch literal 293032 zcmeGF4Ompw_6LriGs7^*ppYn{nU1BVWs0wvS>g*i78WX&nT84|7QP{vl@^7X6H;Va zTGlnQqOu~ddC9EMOsK4=yhU9zdb2UDxb{Y6@%yZ`_de&$FbBQ&e*gdH_j{hkM?Pom z&)R#hz4qEKXP+~0OG@f!hpubtb{O zzCyukAy{^?NLOghN4}}qFZh~+!RV9iE@Pv>NxR5hlrJFj1!O*janhd(l|RWR^nb7{ zHx!e=(MMruz8sk^6i10{nnJ3BJ`=yn&-!obOOyEy6ml_IC~o(NbcL$E@yJJhIn_^` zRGc8|v+IW>*=~g@&idrenK@`cpWLkTa_7t|SaRNy!Gq2lG@$pQ`Mvvb$z+!o|Ec@N zTsBEVw^UM^EKYM23R#s$TpP)g{^6rd|7N>^Whh-`*yDyiNN3Huem+sW;B1UGr_q znQv3?l{V?0+oW%|Nq^49&doOVP@H=4KlHQLru?s=7_J{tZP;>p*`)WhvGaY@duFIH zkRONsY1--9^v?tt2bn%kLZ8x;>sZuOx|WeKd+z*s8H@5~ug}QMo;N!`CnGyAZ+>3drI}jB 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zHg|3rkFd{;HT&f>Dn+5Re)6S{-_{0;({ck_tBV`GG0m|k{RN7#uDsJ+?|a@L2p@$l)T1$1v6 z!Xeum!`XF9IFb&q!OZ4KTsggb5(nM!>%#KL-uhW{^OCs*=ZQ2%^+*1238|6PYK75?}8_w#=L+!bGp_9fZ( zefS>V@8^>G=k?k37iZt6visl7=lkc5?E3tE9Dm*WtFL`+#mE0K-tV72{^ziteEidZ ze*^ya`_J=!|J=pz@{Tfhe*cwd%O8%n?8zm5|K)Na{`~Xb@P30@AKsQvIj8h%(fI%U zrS_|T-fLfbK7N0We?EoZ|1P@!N_iRl`R8ZttFDm@#m7%@@4rJs=G6Q967ToVqeK{g zzTfZf|Ic{;J?wD*Kd^>>-oTFK{%^$p`Tai(m^{M!$C0D<$4|lU_%C1oAH&uOuju!G?rrvqfBtLYlR*vF zye*%KE)uU;T`IUXs1PKi5C6#P9L_z4LZo@3Z#l`<&45eE)tGZkE3M`3KM2FIV#Z z{f-#C;UGW#<2pWnmjn3e_urhsWvue&pSSRSgVz5Z;`7hHxQ0o~?{ny@TkgN^4|&C% z=^g2}Uhn?4`>(ebf6w#$N%ooF|47UI|I;qJ|E)ad+Iz|GpXUAf{N4J5-M`xjI6LtB z{d2M9{+XY)6@7WOVf;S-d@Jww@%iUdKWF!UL^fCS=l3~CzGo<+Ki%*dyZ`98UHJ-p t$Qi`}Zw=ggE +#include +#include +#include + +class Point { +public: + Point(int x0, int y0) : x(x0), y(y0) {} + int x, y; +}; + +enum GRID_STATUS { GRID_CLEAR, GRID_BLOCKED }; + +void read_grid(std::istream& istr, + std::vector>& blocked_grid, + int& start_x, int& start_y) { + int x, y; + int max_x = 0, max_y = 0; + std::list blocked_points; + while ((istr >> x >> y) && !(x == 0 && y == 0)) { + blocked_points.push_back(Point(x, y)); + if (x > max_x) max_x = x; + if (y > max_y) max_y = y; + } + istr >> start_x >> start_y; + if (start_x > max_x) max_x = start_x; + if (start_y > max_y) max_y = start_y; + std::vector one_row_of_ys(max_y + 1, GRID_CLEAR); + std::vector> empty_grid(max_x + 1, one_row_of_ys); + blocked_grid = empty_grid; + for (const auto& p : blocked_points) { + blocked_grid[p.x][p.y] = GRID_BLOCKED; + } +} + +// Modified print_grid to show the path with '$' symbols +void print_grid(const std::vector>& blocked_grid, + const std::vector>& path_grid) { + std::cout << "Grid with path marked (X = blocked, $ = path, . = clear):\n"; + for (unsigned int y = 0; y < blocked_grid[0].size(); ++y) { + for (unsigned int x = 0; x < blocked_grid.size(); ++x) { + if (path_grid[x][y]) { + std::cout << " $"; + } else if (blocked_grid[x][y] == GRID_BLOCKED) { + std::cout << " X"; + } else { + std::cout << " ."; + } + } + std::cout << std::endl; + } +} + +std::list find_path(const std::vector>& blocked_grid, int x, int y) { + // no path + if (x < 0 || y < 0 || blocked_grid[x][y] == GRID_BLOCKED) { + return std::list(); + } + // Base case + if (x == 0 && y == 0) { + std::list path; + path.push_back(Point(0, 0)); + return path; + } + // Try moving left first + if (x > 0) { + std::list path_left = find_path(blocked_grid, x - 1, y); + if (!path_left.empty()) { + path_left.push_front(Point(x, y)); + return path_left; + } + } + // If left fails, try moving up + if (y > 0) { + std::list path_up = find_path(blocked_grid, x, y - 1); + if (!path_up.empty()) { + path_up.push_front(Point(x, y)); + return path_up; + } + } + // No path found + return std::list(); +} + +int main(int argc, char* argv[]) { + if (argc != 2) { + std::cerr << "Usage: " << argv[0] << " grid-file" << std::endl; + return 1; + } + std::ifstream istr(argv[1]); + if (!istr) { + std::cerr << "Could not open " << argv[1] << std::endl; + return 1; + } + + std::vector> blocked_grid; + int start_x, start_y; + read_grid(istr, blocked_grid, start_x, start_y); + + // Find one path + std::list path = find_path(blocked_grid, start_x, start_y); + if (path.empty()) { + std::cout << "No legal path exists.\n"; + } else { + std::cout << "Path found:\n"; + for (const auto& p : path) { + std::cout << "(" << p.x << ", " << p.y << ") "; + } + std::cout << "\n"; + + // Create path grid for marking + std::vector> path_grid(blocked_grid.size(), + std::vector(blocked_grid[0].size(), false)); + for (const auto& p : path) { + path_grid[p.x][p.y] = true; + } + // Print grid with path + print_grid(blocked_grid, path_grid); + } + + return 0; +} \ No newline at end of file