Added solution for finding the single non-duplicate element in sorted…

… array using binary search

.vscode/c_cpp_properties.json

@@ -0,0 +1,18 @@
+{
+  "configurations": [
+    {
+      "name": "macos-clang-arm64",
+      "includePath": [
+        "${workspaceFolder}/**"
+      ],
+      "compilerPath": "/usr/bin/clang",
+      "cStandard": "${default}",
+      "cppStandard": "${default}",
+      "intelliSenseMode": "macos-clang-arm64",
+      "compilerArgs": [
+        ""
+      ]
+    }
+  ],
+  "version": 4
+}

.vscode/launch.json

@@ -0,0 +1,13 @@
+{
+  "version": "0.2.0",
+  "configurations": [
+    {
+      "name": "C/C++ Runner: Debug Session",
+      "type": "lldb",
+      "request": "launch",
+      "args": [],
+      "cwd": "/Users/saurabh/Desktop/home/Hacktoberfest-Contributions",
+      "program": "/Users/saurabh/Desktop/home/Hacktoberfest-Contributions/build/Debug/outDebug"
+    }
+  ]
+}

.vscode/settings.json

@@ -0,0 +1,59 @@
+{
+  "C_Cpp_Runner.cCompilerPath": "clang",
+  "C_Cpp_Runner.cppCompilerPath": "clang++",
+  "C_Cpp_Runner.debuggerPath": "lldb",
+  "C_Cpp_Runner.cStandard": "",
+  "C_Cpp_Runner.cppStandard": "",
+  "C_Cpp_Runner.msvcBatchPath": "C:/Program Files/Microsoft Visual Studio/VR_NR/Community/VC/Auxiliary/Build/vcvarsall.bat",
+  "C_Cpp_Runner.useMsvc": false,
+  "C_Cpp_Runner.warnings": [
+    "-Wall",
+    "-Wextra",
+    "-Wpedantic",
+    "-Wshadow",
+    "-Wformat=2",
+    "-Wcast-align",
+    "-Wconversion",
+    "-Wsign-conversion",
+    "-Wnull-dereference"
+  ],
+  "C_Cpp_Runner.msvcWarnings": [
+    "/W4",
+    "/permissive-",
+    "/w14242",
+    "/w14287",
+    "/w14296",
+    "/w14311",
+    "/w14826",
+    "/w44062",
+    "/w44242",
+    "/w14905",
+    "/w14906",
+    "/w14263",
+    "/w44265",
+    "/w14928"
+  ],
+  "C_Cpp_Runner.enableWarnings": true,
+  "C_Cpp_Runner.warningsAsError": false,
+  "C_Cpp_Runner.compilerArgs": [],
+  "C_Cpp_Runner.linkerArgs": [],
+  "C_Cpp_Runner.includePaths": [],
+  "C_Cpp_Runner.includeSearch": [
+    "*",
+    "**/*"
+  ],
+  "C_Cpp_Runner.excludeSearch": [
+    "**/build",
+    "**/build/**",
+    "**/.*",
+    "**/.*/**",
+    "**/.vscode",
+    "**/.vscode/**"
+  ],
+  "C_Cpp_Runner.useAddressSanitizer": false,
+  "C_Cpp_Runner.useUndefinedSanitizer": false,
+  "C_Cpp_Runner.useLeakSanitizer": false,
+  "C_Cpp_Runner.showCompilationTime": false,
+  "C_Cpp_Runner.useLinkTimeOptimization": false,
+  "C_Cpp_Runner.msvcSecureNoWarnings": false
+}

SingleNonDuplicateElement.java

@@ -0,0 +1,34 @@
+public class SingleNonDuplicate {
+    public static int findSingleNonDuplicate(int[] nums) {
+        // Initialize two pointers for binary search
+        int low = 0;
+        int high = nums.length - 1;
+
+        // Binary search loop
+        while (low < high) {
+            int mid = low + (high - low) / 2;
+
+            // Check if mid is even
+            if (mid % 2 == 1) {
+                mid--; // Ensure mid is even so that pairs are aligned correctly
+            }
+
+            // Compare mid with the next element
+            if (nums[mid] == nums[mid + 1]) {
+                // If they are equal, the single element must be in the second half
+                low = mid + 2;
+            } else {
+                // Otherwise, the single element is in the first half
+                high = mid;
+            }
+        }
+
+        // After the loop, low will point to the single element
+        return nums[low];
+    }
+
+    public static void main(String[] args) {
+        int[] nums = {1, 1, 2, 3, 3, 4, 4, 5, 5};
+        System.out.println("Single non-duplicate element: " + findSingleNonDuplicate(nums));
+    }
+}