From da892992c53232ef74cebbc76e54347c8da15205 Mon Sep 17 00:00:00 2001 From: Asesh Shrestha Date: Fri, 17 Nov 2023 14:02:06 +0545 Subject: [PATCH] Added more string and number algorithms --- .../UserInterfaceState.xcuserstate | Bin 135942 -> 141490 bytes .../xcdebugger/Breakpoints_v2.xcbkptlist | 100 +++++++++-- algorithm/main.cpp | 19 ++- algorithm/number_algorithm.cpp | 158 ++++++++++++++++++ algorithm/number_algorithm.hpp | 12 ++ algorithm/string_algorithm.cpp | 76 +++++++++ algorithm/string_algorithm.hpp | 4 + 7 files changed, 350 insertions(+), 19 deletions(-) diff --git a/algorithm.xcodeproj/project.xcworkspace/xcuserdata/aseshshrestha.xcuserdatad/UserInterfaceState.xcuserstate b/algorithm.xcodeproj/project.xcworkspace/xcuserdata/aseshshrestha.xcuserdatad/UserInterfaceState.xcuserstate index 46343b37fcedf7dbaf780df0622739e35f876b80..032d23faa01ea7b63f96d7838ac0e3c32a380075 100755 GIT binary patch literal 141490 zcmeEvcYGAZ`~S}D?cMF(CAZgm%Y`N+q!*;60!k0P9U(a&l1A=A5zrkgporMJB%nxF 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landmarkType = "9"> @@ -30,8 +30,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "316" - endingLineNumber = "316" + startingLineNumber = "333" + endingLineNumber = "333" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -46,8 +46,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "241" - endingLineNumber = "241" + startingLineNumber = "258" + endingLineNumber = "258" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -62,8 +62,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "209" - endingLineNumber = "209" + startingLineNumber = "226" + endingLineNumber = "226" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -174,8 +174,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "167" - endingLineNumber = "167" + startingLineNumber = "184" + endingLineNumber = "184" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -190,8 +190,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "130" - endingLineNumber = "130" + startingLineNumber = "147" + endingLineNumber = "147" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -206,8 +206,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "89" - endingLineNumber = "89" + startingLineNumber = "106" + endingLineNumber = "106" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -238,8 +238,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "78" - endingLineNumber = "78" + startingLineNumber = "95" + endingLineNumber = "95" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -254,8 +254,8 @@ filePath = "algorithm/main.cpp" startingColumnNumber = "9223372036854775807" endingColumnNumber = "9223372036854775807" - startingLineNumber = "64" - endingLineNumber = "64" + startingLineNumber = "81" + endingLineNumber = "81" landmarkName = "main(argc, argv)" landmarkType = "9"> @@ -413,5 +413,69 @@ + + + + + + + + + + + + + + diff --git a/algorithm/main.cpp b/algorithm/main.cpp index cc7da25..100598b 100755 --- a/algorithm/main.cpp +++ b/algorithm/main.cpp @@ -20,7 +20,24 @@ int main(int argc, const char* argv[]) { - invoke_calculate_minimum_coins(); +// std::vector denoms = {1, 2, 5}; +// test_recursion(denoms, 5); + +// std::vector> visted(5, std::vector(10, false)); + + invoke_river_size(); + +// invoke_levenshtein_distance(); + +// invoke_river_sizes(); + +// invoke_number_of_ways_to_traverse_graph(); + +// invoke_calculate_minimum_number_of_steps(); + +// invoke_calculate_number_of_steps(); + +// invoke_calculate_minimum_coins(); // std::cout<<(-1%10)<& array, int sum) { + if(sum > target) { + return INT_MAX; + } + + int calculated_sum = 0; + for(const auto& current_number: array) { + + } + + return INT_MAX; +} + +void invoke_calculate_four_number_sum() { + std::vector array = {7, 6, 4, -1, 1, 2}; + calculate_four_number_sum(16, array, 0); +} + +// Using top-down DP +void calculate_total_number_of_steps(int number_of_steps, int& total_number_of_steps, std::unordered_map& computed_values) { + static std::vector steps = {1, 2}; + + if(number_of_steps < 0) { + return; + } + if(computed_values.contains(number_of_steps)) { +// std::cout<<"Returning cached number of steps: "< computed_values; + calculate_total_number_of_steps(4, total_number_of_steps, computed_values); + std::cout<= 0) { + --total_steps; + + sum = previous + next; + previous = next; + next = sum; + } + + return sum; +} + +int calculate_minimum_number_of_steps(int destination_steps, int total_steps = 0) { + static std::vector steps = {1, 2}; + if(destination_steps < 0) { + return INT_MAX; + } + + if(destination_steps == 0) { + return total_steps; + } + + ++total_steps; + + int min_steps = INT_MAX; + for(const auto& step: steps) { + int total_possible_steps = calculate_minimum_number_of_steps(destination_steps - step, total_steps); + min_steps = std::min(min_steps, total_possible_steps); + } + + return min_steps; +} + +void invoke_calculate_minimum_number_of_steps() { + std::cout<<"Minimum number of steps: "< computed_cells(total_width + 1, 1); // = {1, 1, 1, 1, 0}; + computed_cells[total_width] = 0; + + for(int current_row = total_height - 2; current_row >= 0; --current_row) { + std::vector new_row(total_width + 1, 0); + for(int current_column = total_width - 1; current_column >= 0; --current_column) { + new_row[current_column] = new_row[current_column + 1] + computed_cells[current_column]; + } + + computed_cells = new_row; + } + + return computed_cells[0]; +} + +void invoke_number_of_ways_to_traverse_graph() { + std::cout<<"Number of ways to traverse graph: "<>& matrix, std::vector>& visited, int& river_size, int row, int column) { + auto column_size = matrix[0].size(); + auto row_size = matrix.size(); + if(row >= 0 && row < row_size && column >= 0 && column < column_size && matrix[row][column] == 1 && + !visited[row][column]) { + ++river_size; + visited[row][column] = true; + river_size_dfs(matrix, visited, river_size, row, column - 1); // Move left + river_size_dfs(matrix, visited, river_size, row - 1, column); // Move to top + river_size_dfs(matrix, visited, river_size, row, column + 1); // Move to right + river_size_dfs(matrix, visited, river_size, row + 1, column); // Move to bottom + } +} + +// Time: O(wh), Space: O(wh) +void invoke_river_size() { + std::vector output; + + std::vector> matrix = { + {1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0} + }; + + // Space: O(wh) + std::vector> visited(matrix.size(), std::vector(matrix[0].size(), false)); + + // Time: O(wh) + for(int row = 0; row < matrix.size(); ++row) { + for(int column = 0; column < matrix[0].size(); ++column) { + + if(matrix[row][column] == 1 && !visited[row][column]) { + int river_size = 0; + river_size_dfs(matrix, visited, river_size, row, column); + output.push_back(river_size); + } + } + } + + std::cout<<"The river sizes are: "; + for(const auto& size: output) { + std::cout<& denoms, int coins_needed, int& min_coins, std::unordered_map& computed_targets); void invoke_calculate_minimum_coins(); +int calculate_four_number_sum(int target, const std::vector& array, int sum); +void invoke_calculate_four_number_sum(); + +void calculate_total_number_of_steps(int number_of_steps, int& total_number_of_steps, std::unordered_map& computed_values); +void invoke_calculate_total_number_of_steps(); + +void invoke_calculate_minimum_number_of_steps(); + +void invoke_number_of_ways_to_traverse_graph(); + +void invoke_river_size(); + #endif /* number_algorithm_hpp */ diff --git a/algorithm/string_algorithm.cpp b/algorithm/string_algorithm.cpp index 409a942..7f34987 100755 --- a/algorithm/string_algorithm.cpp +++ b/algorithm/string_algorithm.cpp @@ -256,3 +256,79 @@ bool is_anagram(const std::string& first_word, const std::string& second_word) { return false; } + +int levenshtein_distance(const std::string &first_word, const std::string& second_word) { + // Space: O(mn) + std::vector> edit_distance_table(first_word.size() + 1); + + // Runtime: O(mn) + // Pre-populate the first-row and first-column of our table + std::for_each(edit_distance_table.begin(), edit_distance_table.end(), [number = 1, current_row = 0, second_word](std::vector &row) mutable { + if(current_row == 0) { + // Construct first row + for(int row_value = 0; row_value <= second_word.size(); ++row_value) { + row.push_back(row_value); + } + } else { + // Construct the first column + row.reserve(second_word.size()); + for(int row_value = 0; row_value <= second_word.size(); ++row_value) { + row.push_back(0); + } + row[0] = number++; + } + ++current_row; + }); + + // Runtime: O(mn) + int row = 1, column = 1; + for(const auto& from_char: first_word) { + for(const auto& to_char: second_word) { + if(from_char == to_char) { + // Take the value of upper-left cell + edit_distance_table[row][column] = edit_distance_table[row - 1][column - 1]; + } else { + // Take the min. of three neighbors and add 1 to it + edit_distance_table[row][column] = 1 + std::min(std::min(edit_distance_table[row - 1][column - 1], + edit_distance_table[row - 1][column]), edit_distance_table[row][column - 1]); + } + ++column; + } + ++row; + column = 1; + } + + return edit_distance_table[first_word.size()][second_word.size()]; +} + +// R: O(nm) S: O(min(n,m)) +void invoke_levenshtein_distance() { + std::cout<<"The number of edit operations required: "<>& input_matrix) { + return 0; +} + +// T: O(wh), S(wh) +void invoke_river_sizes() { + // Output: 2, 2, 5, 1, 2 + std::vector> matrix = { + {1, 0, 0, 1, 0}, + {1, 0, 1, 0, 0}, + {0, 0, 1, 0, 1}, + {1, 0, 1, 0, 1}, + {1, 0, 1, 1, 0} + }; + + std::cout<<"The river size is: "<