Merge branch 'master' into longest_common_string_patch

.github/CODEOWNERS

@@ -0,0 +1 @@
+* @Panquesito7 @tjgurwara99 @realstealthninja

.github/workflows/awesome_workflow.yml

@@ -94,6 +94,8 @@ jobs:
     name: Compile checks
     runs-on: ${{ matrix.os }}
     needs: [MainSequence]
+    permissions:
+      pull-requests: write
     strategy:
       matrix:
         os: [ubuntu-latest, windows-latest, macOS-latest]
@@ -101,5 +103,17 @@ jobs:
       - uses: actions/checkout@v3
         with:
           submodules: true
-      - run: cmake -B ./build -S .
+      - run: |
-      - run: cmake --build build
+          cmake -B ./build -S .
+          cmake --build build
+      - name: Label on PR fail
+        uses: actions/github-script@v6
+        if: ${{ failure() && matrix.os == 'ubuntu-latest' && github.event_name == 'pull_request' }}
+        with:
+          script: |
+            github.rest.issues.addLabels({
+              issue_number: context.issue.number,
+              owner: context.repo.owner,
+              repo: context.repo.repo,
+              labels: ['automated tests are failing']
+            })

DIRECTORY.md

@@ -1,5 +1,6 @@
 
 ## Backtracking
+  * [Generate Parentheses](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/backtracking/generate_parentheses.cpp)
   * [Graph Coloring](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/backtracking/graph_coloring.cpp)
   * [Knight Tour](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/backtracking/knight_tour.cpp)
   * [Magic Sequence](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/backtracking/magic_sequence.cpp)

backtracking/generate_parentheses.cpp

@@ -0,0 +1,113 @@
+/**
+ * @file
+ * @brief Well-formed [Generated
+ * Parentheses](https://leetcode.com/explore/interview/card/top-interview-questions-medium/109/backtracking/794/) with all combinations.
+ *
+ * @details a sequence of parentheses is well-formed if each opening parentheses
+ * has a corresponding closing parenthesis
+ * and the closing parentheses are correctly ordered
+ *
+ * @author [Giuseppe Coco](https://github.com/WoWS17)
+
+ */
+
+#include <cassert>   /// for assert
+#include <iostream>  /// for I/O operation
+#include <vector>    /// for vector container
+
+/**
+ * @brief Backtracking algorithms
+ * @namespace backtracking
+ */
+namespace backtracking {
+/**
+ * @brief generate_parentheses class
+ */
+class generate_parentheses {
+ private:
+    std::vector<std::string> res;  ///< Contains all possible valid patterns
+
+    void makeStrings(std::string str, int n, int closed, int open);
+
+ public:
+    std::vector<std::string> generate(int n);
+};
+
+/**
+ * @brief function that adds parenthesis to the string.
+ *
+ * @param str string build during backtracking
+ * @param n number of pairs of parentheses
+ * @param closed number of closed parentheses
+ * @param open number of open parentheses
+ */
+
+void generate_parentheses::makeStrings(std::string str, int n,
+                                                     int closed, int open) {
+    if (closed > open)  // We can never have more closed than open
+        return;
+
+    if ((str.length() == 2 * n) &&
+        (closed != open)) {  // closed and open must be the same
+        return;
+    }
+
+    if (str.length() == 2 * n) {
+        res.push_back(str);
+        return;
+    }
+
+    makeStrings(str + ')', n, closed + 1, open);
+    makeStrings(str + '(', n, closed, open + 1);
+}
+
+/**
+ * @brief wrapper interface
+ *
+ * @param n number of pairs of parentheses
+ * @return all well-formed pattern of parentheses
+ */
+std::vector<std::string> generate_parentheses::generate(int n) {
+    backtracking::generate_parentheses::res.clear();
+    std::string str = "(";
+    generate_parentheses::makeStrings(str, n, 0, 1);
+    return res;
+}
+}  // namespace backtracking
+
+/**
+ * @brief Self-test implementations
+ * @returns void
+ */
+static void test() {
+    int n = 0;
+    std::vector<std::string> patterns;
+    backtracking::generate_parentheses p;
+
+    n = 1;
+    patterns = {{"()"}};
+    assert(p.generate(n) == patterns);
+
+    n = 3;
+    patterns = {{"()()()"}, {"()(())"}, {"(())()"}, {"(()())"}, {"((()))"}};
+
+    assert(p.generate(n) == patterns);
+
+    n = 4;
+    patterns = {{"()()()()"}, {"()()(())"}, {"()(())()"}, {"()(()())"},
+                {"()((()))"}, {"(())()()"}, {"(())(())"}, {"(()())()"},
+                {"(()()())"}, {"(()(()))"}, {"((()))()"}, {"((())())"},
+                {"((()()))"}, {"(((())))"}};
+    assert(p.generate(n) == patterns);
+
+    std::cout << "All tests passed\n";
+}
+
+/**
+ * @brief Main function
+ * @returns 0 on exit
+ */
+int main() {
+    test();  // run self-test implementations
+    return 0;
+}

dynamic_programming/longest_palindromic_subsequence.cpp

@@ -1,7 +1,7 @@
 /**
  * @file
- * @brief Program to find the Longest Palindormic
+ * @brief Program to find the [Longest Palindormic
- * Subsequence of a string
+ * Subsequence](https://www.geeksforgeeks.org/longest-palindromic-subsequence-dp-12/) of a string
  *
  * @details
  * [Palindrome](https://en.wikipedia.org/wiki/Palindrome) string sequence of
@@ -13,26 +13,33 @@
  * @author [Anjali Jha](https://github.com/anjali1903)
  */
 
-#include <algorithm>
+#include <cassert>  /// for assert
-#include <cassert>
+#include <string>   /// for std::string
-#include <iostream>
+#include <vector>   /// for std::vector
-#include <vector>
 
 /**
- * Function that returns the longest palindromic
+ * @namespace
- * subsequence of a string
+ * @brief Dynamic Programming algorithms
  */
-std::string lps(std::string a) {
+namespace dynamic_programming {
-    std::string b = a;
+/**
-    reverse(b.begin(), b.end());
+ * @brief Function that returns the longest palindromic
-    int m = a.length();
+ * subsequence of a string
-    std::vector<std::vector<int> > res(m + 1);
+ * @param a string whose longest palindromic subsequence is to be found
+ * @returns longest palindromic subsequence of the string
+ */
+std::string lps(const std::string& a) {
+    const auto b = std::string(a.rbegin(), a.rend());
+    const auto m = a.length();
+    using ind_type = std::string::size_type;
+    std::vector<std::vector<ind_type> > res(m + 1,
+                                            std::vector<ind_type>(m + 1));
 
     // Finding the length of the longest
     // palindromic subsequence and storing
     // in a 2D array in bottoms-up manner
-    for (int i = 0; i <= m; i++) {
+    for (ind_type i = 0; i <= m; i++) {
-        for (int j = 0; j <= m; j++) {
+        for (ind_type j = 0; j <= m; j++) {
             if (i == 0 || j == 0) {
                 res[i][j] = 0;
             } else if (a[i - 1] == b[j - 1]) {
@@ -43,10 +50,10 @@ std::string lps(std::string a) {
         }
     }
     // Length of longest palindromic subsequence
-    int idx = res[m][m];
+    auto idx = res[m][m];
     // Creating string of index+1 length
-    std::string ans(idx + 1, '\0');
+    std::string ans(idx, '\0');
-    int i = m, j = m;
+    ind_type i = m, j = m;
 
     // starting from right-most bottom-most corner
     // and storing them one by one in ans
@@ -70,19 +77,22 @@ std::string lps(std::string a) {
 
     return ans;
 }
+}  // namespace dynamic_programming
 
-/** Test function */
+/**
-void test() {
+ * @brief Self-test implementations
-    // lps("radar") return "radar"
+ * @returns void
-    assert(lps("radar") == "radar");
+ */
-    // lps("abbcbaa") return "abcba"
+static void test() {
-    assert(lps("abbcbaa") == "abcba");
+    assert(dynamic_programming::lps("radar") == "radar");
-    // lps("bbbab") return "bbbb"
+    assert(dynamic_programming::lps("abbcbaa") == "abcba");
-    assert(lps("bbbab") == "bbbb");
+    assert(dynamic_programming::lps("bbbab") == "bbbb");
+    assert(dynamic_programming::lps("") == "");
 }
 
 /**
- * Main Function
+ * @brief Main Function
+ * @returns 0 on exit
  */
 int main() {
     test();  // execute the tests

math/n_bonacci.cpp

@@ -15,10 +15,9 @@
  * @author [Swastika Gupta](https://github.com/Swastyy)
  */
 
-#include <algorithm>  /// for std::is_equal, std::swap
+#include <cassert>   /// for assert
-#include <cassert>    /// for assert
+#include <iostream>  /// for std::cout
-#include <iostream>   /// for IO operations
+#include <vector>    /// for std::vector
-#include <vector>     /// for std::vector
 
 /**
  * @namespace math
@@ -39,10 +38,17 @@ namespace n_bonacci {
  * @returns the n-bonacci sequence as vector array
  */
 std::vector<uint64_t> N_bonacci(const uint64_t &n, const uint64_t &m) {
-    std::vector<uint64_t> a(m, 0);  // we create an empty array of size m
+    std::vector<uint64_t> a(
+        m, 0);  // we create an array of size m filled with zeros
+    if (m < n || n == 0) {
+        return a;
+    }
 
     a[n - 1] = 1;  /// we initialise the (n-1)th term as 1 which is the sum of
                    /// preceding N zeros
+    if (n == m) {
+        return a;
+    }
     a[n] = 1;  /// similarily the sum of preceding N zeros and the (N+1)th 1 is
                /// also 1
     for (uint64_t i = n + 1; i < m; i++) {
@@ -61,55 +67,33 @@ std::vector<uint64_t> N_bonacci(const uint64_t &n, const uint64_t &m) {
  * @returns void
  */
 static void test() {
-    // n = 1 m = 1 return [1, 1]
+    struct TestCase {
-    std::cout << "1st test";
+        const uint64_t n;
-    std::vector<uint64_t> arr1 = math::n_bonacci::N_bonacci(
+        const uint64_t m;
-        1, 1);  // first input is the param n and second one is the param m for
+        const std::vector<uint64_t> expected;
-                // N-bonacci func
+        TestCase(const uint64_t in_n, const uint64_t in_m,
-    std::vector<uint64_t> output_array1 = {
+                 std::initializer_list<uint64_t> data)
-        1, 1};  // It is the expected output series of length m
+            : n(in_n), m(in_m), expected(data) {
-    assert(std::equal(std::begin(arr1), std::end(arr1),
+            assert(data.size() == m);
-                      std::begin(output_array1)));
+        }
-    std::cout << "passed" << std::endl;
+    };
+    const std::vector<TestCase> test_cases = {
+        TestCase(0, 0, {}),
+        TestCase(0, 1, {0}),
+        TestCase(0, 2, {0, 0}),
+        TestCase(1, 0, {}),
+        TestCase(1, 1, {1}),
+        TestCase(1, 2, {1, 1}),
+        TestCase(1, 3, {1, 1, 1}),
+        TestCase(5, 15, {0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61, 120, 236, 464}),
+        TestCase(
+            6, 17,
+            {0, 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 32, 63, 125, 248, 492, 976}),
+        TestCase(56, 15, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0})};
 
-    // n = 5 m = 15 return [0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61, 120, 236,
+    for (const auto &tc : test_cases) {
-    // 464]
+        assert(math::n_bonacci::N_bonacci(tc.n, tc.m) == tc.expected);
-    std::cout << "2nd test";
+    }
-    std::vector<uint64_t> arr2 = math::n_bonacci::N_bonacci(
-        5, 15);  // first input is the param n and second one is the param m for
-                 // N-bonacci func
-    std::vector<uint64_t> output_array2 = {
-        0, 0,  0,  0,  1,   1,   2,  4,
-        8, 16, 31, 61, 120, 236, 464};  // It is the expected output series of
-                                        // length m
-    assert(std::equal(std::begin(arr2), std::end(arr2),
-                      std::begin(output_array2)));
-    std::cout << "passed" << std::endl;
-
-    // n = 6 m = 17 return [0, 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 32, 63, 125, 248,
-    // 492, 976]
-    std::cout << "3rd test";
-    std::vector<uint64_t> arr3 = math::n_bonacci::N_bonacci(
-        6, 17);  // first input is the param n and second one is the param m for
-                 // N-bonacci func
-    std::vector<uint64_t> output_array3 = {
-        0, 0,  0,  0,  0,   1,   1,   2,  4,
-        8, 16, 32, 63, 125, 248, 492, 976};  // It is the expected output series
-                                             // of length m
-    assert(std::equal(std::begin(arr3), std::end(arr3),
-                      std::begin(output_array3)));
-    std::cout << "passed" << std::endl;
-
-    // n = 56 m = 15 return [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-    std::cout << "4th test";
-    std::vector<uint64_t> arr4 = math::n_bonacci::N_bonacci(
-        56, 15);  // first input is the param n and second one is the param m
-                  // for N-bonacci func
-    std::vector<uint64_t> output_array4 = {
-        0, 0, 0, 0, 0, 0, 0, 0,
-        0, 0, 0, 0, 0, 0, 0};  // It is the expected output series of length m
-    assert(std::equal(std::begin(arr4), std::end(arr4),
-                      std::begin(output_array4)));
     std::cout << "passed" << std::endl;
 }