From f39eae7a37cdf6900aa0a71f6ba3b0b8729be9a4 Mon Sep 17 00:00:00 2001
From: KrutikaBhatt <krutikabhatt222@gmail.com>
Date: Fri, 8 Oct 2021 22:02:48 +0530
Subject: [PATCH 1/4] Added the dfs recursive code

---
 C++/Algorithm/Searching/dfsRecursive.cpp |  55 +++++++++++++++++++++++
 C++/Algorithm/Searching/dfsRecursive.exe | Bin 0 -> 47366 bytes
 2 files changed, 55 insertions(+)
 create mode 100644 C++/Algorithm/Searching/dfsRecursive.cpp
 create mode 100644 C++/Algorithm/Searching/dfsRecursive.exe

diff --git a/C++/Algorithm/Searching/dfsRecursive.cpp b/C++/Algorithm/Searching/dfsRecursive.cpp
new file mode 100644
index 0000000..26468b2
--- /dev/null
+++ b/C++/Algorithm/Searching/dfsRecursive.cpp
@@ -0,0 +1,55 @@
+/*
+    Author : Krutika Bhatt
+    Date : 07/10/2021
+    Description : Depth-first search (DFS) is an algorithm for traversing elements in 2D Matrix
+*/
+
+
+#include <bits/stdc++.h>
+
+using namespace std;
+
+
+void DFSrecursive(int grid[][4],int row,int col,bool visited[][4]) {
+
+    int length = 4;
+    int height = 4;
+
+     if (row < 0 || col < 0 || row >= length || col >= height || visited[row][col]){
+         return;
+     }
+           
+
+    //mark the cell visited
+    visited[row][col] = true;
+
+    cout << grid[row][col] << " ";
+
+    DFSrecursive(grid, row+ 1, col,visited); // go right to that cell in matrix
+    DFSrecursive(grid, row- 1, col,visited); //go left to that cell in matrix
+    DFSrecursive(grid, row, col + 1,visited); //go down to that cell in matrix
+    DFSrecursive(grid, row, col - 1,visited); // go up to that cell in matrix
+
+}
+void DFS(int grid[4][4]) {
+ 
+    // Maintain a boolean 2D Array to check if the elements are visited or not 
+    bool visited[4][4];
+    memset(visited, false, sizeof visited);
+
+    // Start the DFS recursive function with start row=0 and start col=0
+    DFSrecursive(grid,0,0,visited);
+}
+
+int main() {
+
+    int grid[4][4] = {
+                {1, 2, 3, 4},
+                {5, 6, 7, 8},
+                {9, 10, 11, 12},
+                {13, 14, 15, 16}
+        };
+
+    cout <<"The Depth first traversal to the matrix is : ";
+    DFS(grid);
+}
diff --git a/C++/Algorithm/Searching/dfsRecursive.exe b/C++/Algorithm/Searching/dfsRecursive.exe
new file mode 100644
index 0000000000000000000000000000000000000000..36bd536116f95c5ca3caf5e34cf3a97bcd292616
GIT binary patch
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HcmV?d00001


From c9f93b54513f42264a4e19ce10a64f71b939a80c Mon Sep 17 00:00:00 2001
From: KrutikaBhatt <krutikabhatt222@gmail.com>
Date: Fri, 8 Oct 2021 22:03:14 +0530
Subject: [PATCH 2/4] removed the excecuable file

---
 C++/Algorithm/Searching/dfsRecursive.exe | Bin 47366 -> 0 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 delete mode 100644 C++/Algorithm/Searching/dfsRecursive.exe

diff --git a/C++/Algorithm/Searching/dfsRecursive.exe b/C++/Algorithm/Searching/dfsRecursive.exe
deleted file mode 100644
index 36bd536116f95c5ca3caf5e34cf3a97bcd292616..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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From d0ebbd096501b47bd76dca4b8185e3a517a9c176 Mon Sep 17 00:00:00 2001
From: KrutikaBhatt <krutikabhatt222@gmail.com>
Date: Fri, 8 Oct 2021 23:43:42 +0530
Subject: [PATCH 3/4] Made some changes

---
 .vscode/settings.json                    | 72 ++++++++++++++++++++++++
 C++/Algorithm/Searching/dfsRecursive.cpp |  4 +-
 2 files changed, 75 insertions(+), 1 deletion(-)
 create mode 100644 .vscode/settings.json

diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..7db06cb
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,72 @@
+{
+    "files.associations": {
+        "array": "cpp",
+        "atomic": "cpp",
+        "*.tcc": "cpp",
+        "bitset": "cpp",
+        "cctype": "cpp",
+        "cfenv": "cpp",
+        "chrono": "cpp",
+        "cinttypes": "cpp",
+        "clocale": "cpp",
+        "cmath": "cpp",
+        "codecvt": "cpp",
+        "complex": "cpp",
+        "condition_variable": "cpp",
+        "csetjmp": "cpp",
+        "csignal": "cpp",
+        "cstdarg": "cpp",
+        "cstddef": "cpp",
+        "cstdint": "cpp",
+        "cstdio": "cpp",
+        "cstdlib": "cpp",
+        "cstring": "cpp",
+        "ctime": "cpp",
+        "cuchar": "cpp",
+        "cwchar": "cpp",
+        "cwctype": "cpp",
+        "deque": "cpp",
+        "forward_list": "cpp",
+        "list": "cpp",
+        "unordered_map": "cpp",
+        "unordered_set": "cpp",
+        "vector": "cpp",
+        "exception": "cpp",
+        "algorithm": "cpp",
+        "functional": "cpp",
+        "iterator": "cpp",
+        "map": "cpp",
+        "memory": "cpp",
+        "memory_resource": "cpp",
+        "numeric": "cpp",
+        "random": "cpp",
+        "ratio": "cpp",
+        "regex": "cpp",
+        "set": "cpp",
+        "string": "cpp",
+        "system_error": "cpp",
+        "tuple": "cpp",
+        "type_traits": "cpp",
+        "utility": "cpp",
+        "fstream": "cpp",
+        "future": "cpp",
+        "initializer_list": "cpp",
+        "iomanip": "cpp",
+        "iosfwd": "cpp",
+        "iostream": "cpp",
+        "istream": "cpp",
+        "limits": "cpp",
+        "mutex": "cpp",
+        "new": "cpp",
+        "ostream": "cpp",
+        "scoped_allocator": "cpp",
+        "shared_mutex": "cpp",
+        "sstream": "cpp",
+        "stdexcept": "cpp",
+        "streambuf": "cpp",
+        "thread": "cpp",
+        "typeindex": "cpp",
+        "typeinfo": "cpp",
+        "valarray": "cpp"
+    }
+}
\ No newline at end of file
diff --git a/C++/Algorithm/Searching/dfsRecursive.cpp b/C++/Algorithm/Searching/dfsRecursive.cpp
index 26468b2..eba5508 100644
--- a/C++/Algorithm/Searching/dfsRecursive.cpp
+++ b/C++/Algorithm/Searching/dfsRecursive.cpp
@@ -15,7 +15,7 @@ void DFSrecursive(int grid[][4],int row,int col,bool visited[][4]) {
     int length = 4;
     int height = 4;
 
-     if (row < 0 || col < 0 || row >= length || col >= height || visited[row][col]){
+     if (row < 0 || col < 0 || row >= length || col >= height || visited[row][col]) {
          return;
      }
            
@@ -52,4 +52,6 @@ int main() {
 
     cout <<"The Depth first traversal to the matrix is : ";
     DFS(grid);
+
+    return 0;
 }

From 2038537bf167e87b5a34b8994e0e691f4aa072a0 Mon Sep 17 00:00:00 2001
From: KrutikaBhatt <krutikabhatt222@gmail.com>
Date: Fri, 8 Oct 2021 23:48:11 +0530
Subject: [PATCH 4/4] Added time and space complexity

---
 C++/Algorithm/Searching/dfsRecursive.cpp | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/C++/Algorithm/Searching/dfsRecursive.cpp b/C++/Algorithm/Searching/dfsRecursive.cpp
index eba5508..e9f5e5b 100644
--- a/C++/Algorithm/Searching/dfsRecursive.cpp
+++ b/C++/Algorithm/Searching/dfsRecursive.cpp
@@ -4,6 +4,11 @@
     Description : Depth-first search (DFS) is an algorithm for traversing elements in 2D Matrix
 */
 
+/* 
+    Time Complexity : O(M*N)
+    Space Complexity : O(M*N)
+    here, M is the number of rows and N is the number of columns
+*/
 
 #include <bits/stdc++.h>