Refactor CMake and VSCode settings; add Day 4 solution

- Updated .vscode/settings.json to enhance Clangd configuration and disable IntelliSense.
- Removed obsolete Clang-Format and Clang-Tidy tasks from .vscode/tasks.json.
- Modified CMakeLists.txt to enable compile commands export and adjusted target properties for Day 4.
- Added new CMakeLists.txt and main.cpp for Day 4 solution, implementing diagram parsing and movable paper counting logic.
- Included test_input and puzzle_input files for Day 4.
- Deleted the run-clang-tidy.sh script as it is no longer needed.

.vscode/settings.json

@@ -1,9 +1,15 @@
 {
+    "C_Cpp.intelliSenseEngine": "disabled",
+    "editor.defaultFormatter": "llvm-vs-code-extensions.vscode-clangd",
     "editor.formatOnSave": true,
     "C_Cpp.default.configurationProvider": "ms-vscode.cmake-tools",
     "cmake.configureOnOpen": false,
     "cmake.generator": "Ninja",
     "clangd.arguments": [
-        "--compile-commands-dir=build"
+        "--background-index",
+        "--compile-commands-dir=${workspaceFolder}/build",
+        "--header-insertion=iwyu",
+        "--clang-tidy",
+        "--completion-style=detailed"
     ]
 }

.vscode/tasks.json

@@ -12,22 +12,6 @@
       "type": "shell",
       "command": "cmake --build build -- -j",
       "problemMatcher": []
-    },
-    {
-      "label": "Clang-Format: Format Workspace",
-      "type": "shell",
-      "command": "bash -lc \"find . -name \"*.cpp\" -o -name \"*.hpp\" -o -name \"*.h\" | xargs -r clang-format -i\"",
-      "problemMatcher": []
-    },
-    {
-      "label": "Clang-Tidy: Run",
-      "type": "shell",
-      "command": "./scripts/run-clang-tidy.sh",
-      "presentation": {
-        "reveal": "always",
-        "panel": "shared"
-      },
-      "problemMatcher": []
     }
   ]
 }