diff --git a/flake.lock b/flake.lock
index 1cc322c..28e143c 100644
--- a/flake.lock
+++ b/flake.lock
@@ -3,11 +3,15 @@
     "crane": {
       "inputs": {
         "flake-compat": "flake-compat",
-        "flake-utils": "flake-utils",
+        "flake-utils": [
+          "flake-utils"
+        ],
         "nixpkgs": [
           "nixpkgs"
         ],
-        "rust-overlay": "rust-overlay"
+        "rust-overlay": [
+          "rust-overlay"
+        ]
       },
       "locked": {
         "lastModified": 1688082682,
@@ -43,24 +47,6 @@
       "inputs": {
         "systems": "systems"
       },
-      "locked": {
-        "lastModified": 1685518550,
-        "narHash": "sha256-o2d0KcvaXzTrPRIo0kOLV0/QXHhDQ5DTi+OxcjO8xqY=",
-        "owner": "numtide",
-        "repo": "flake-utils",
-        "rev": "a1720a10a6cfe8234c0e93907ffe81be440f4cef",
-        "type": "github"
-      },
-      "original": {
-        "owner": "numtide",
-        "repo": "flake-utils",
-        "type": "github"
-      }
-    },
-    "flake-utils_2": {
-      "inputs": {
-        "systems": "systems_2"
-      },
       "locked": {
         "lastModified": 1687709756,
         "narHash": "sha256-Y5wKlQSkgEK2weWdOu4J3riRd+kV/VCgHsqLNTTWQ/0=",
@@ -77,11 +63,11 @@
     },
     "nixpkgs": {
       "locked": {
-        "lastModified": 1688188316,
-        "narHash": "sha256-CXuQllDKCxtZaB/umnZOvoJ/d4kJguYgffeTA9l1B3o=",
+        "lastModified": 1688221086,
+        "narHash": "sha256-cdW6qUL71cNWhHCpMPOJjlw0wzSRP0pVlRn2vqX/VVg=",
         "owner": "NixOS",
         "repo": "nixpkgs",
-        "rev": "8277b539d371bf4308fc5097911aa58bfac1794f",
+        "rev": "cd99c2b3c9f160cd004318e0697f90bbd5960825",
         "type": "github"
       },
       "original": {
@@ -94,37 +80,12 @@
     "root": {
       "inputs": {
         "crane": "crane",
-        "flake-utils": "flake-utils_2",
+        "flake-utils": "flake-utils",
         "nixpkgs": "nixpkgs",
-        "rust-overlay": "rust-overlay_2"
+        "rust-overlay": "rust-overlay"
       }
     },
     "rust-overlay": {
-      "inputs": {
-        "flake-utils": [
-          "crane",
-          "flake-utils"
-        ],
-        "nixpkgs": [
-          "crane",
-          "nixpkgs"
-        ]
-      },
-      "locked": {
-        "lastModified": 1685759304,
-        "narHash": "sha256-I3YBH6MS3G5kGzNuc1G0f9uYfTcNY9NYoRc3QsykLk4=",
-        "owner": "oxalica",
-        "repo": "rust-overlay",
-        "rev": "c535b4f3327910c96dcf21851bbdd074d0760290",
-        "type": "github"
-      },
-      "original": {
-        "owner": "oxalica",
-        "repo": "rust-overlay",
-        "type": "github"
-      }
-    },
-    "rust-overlay_2": {
       "inputs": {
         "flake-utils": [
           "flake-utils"
@@ -134,11 +95,11 @@
         ]
       },
       "locked": {
-        "lastModified": 1688265347,
-        "narHash": "sha256-oe3kLnNvw2VWbG4Rp6IWUO5Uu5gF8J2oq8DbqbCsdZ4=",
+        "lastModified": 1688351637,
+        "narHash": "sha256-CLTufJ29VxNOIZ8UTg0lepsn3X03AmopmaLTTeHDCL4=",
         "owner": "oxalica",
         "repo": "rust-overlay",
-        "rev": "b8f3db465405014039985f1c5cea92cc29e1b3b5",
+        "rev": "f9b92316727af9e6c7fee4a761242f7f46880329",
         "type": "github"
       },
       "original": {
@@ -161,21 +122,6 @@
         "repo": "default",
         "type": "github"
       }
-    },
-    "systems_2": {
-      "locked": {
-        "lastModified": 1681028828,
-        "narHash": "sha256-Vy1rq5AaRuLzOxct8nz4T6wlgyUR7zLU309k9mBC768=",
-        "owner": "nix-systems",
-        "repo": "default",
-        "rev": "da67096a3b9bf56a91d16901293e51ba5b49a27e",
-        "type": "github"
-      },
-      "original": {
-        "owner": "nix-systems",
-        "repo": "default",
-        "type": "github"
-      }
     }
   },
   "root": "root",
diff --git a/flake.nix b/flake.nix
index 8eeeb70..ff03e3c 100644
--- a/flake.nix
+++ b/flake.nix
@@ -4,6 +4,8 @@
     crane = {
       url = "github:ipetkov/crane";
       inputs.nixpkgs.follows = "nixpkgs";
+      inputs.rust-overlay.follows = "rust-overlay";
+      inputs.flake-utils.follows = "flake-utils";
     };
     flake-utils.url = "github:numtide/flake-utils";
     rust-overlay = {