diff --git a/src/lru_cache.py b/src/lru_cache.py
index 9c6f449..3d7eb3c 100644
--- a/src/lru_cache.py
+++ b/src/lru_cache.py
@@ -1,68 +1,83 @@
 class Node:
-    def __init__(self, val: int, key: int = -1) -> None:
+    def __init__(self, val: int, key: int) -> None:
         self.val = val
         self.key = key
 
-        self.prev: Node | None = None
-        self.next: Node | None = None
+        self.nxt: Node | None = None
+        self.prv: Node | None = None
 
-    def __repr__(self) -> str:
+    def __str__(self) -> str:
         return f"Node(val={self.val}, key={self.key})"
 
 
 class LRUCache:
     def __init__(self, capacity: int) -> None:
-        self.capacity = capacity
-        self.cache: dict[int, Node] = {}
-
-        self.head = Node(-1)
-        self.tail = Node(-1)
-
-        self.head.next = self.tail
-        self.tail.prev = self.head
-
-        self.size = 0
-
-    def insert_as_head(self, node: Node) -> None:
-        node.next = self.head.next
-        self.head.next = node
-        node.prev = self.head
+        self.n = capacity
 
-        assert node.next
-        node.next.prev = node
+        self.head = Node(-1, -1)
+        self.tail = Node(-1, -1)
 
-    @staticmethod
-    def remove(node: Node) -> None:
-        assert node.next
-        assert node.prev
+        self.head.nxt = self.tail
+        self.tail.prv = self.head
 
-        node.prev.next = node.next
-        node.next.prev = node.prev
+        self.cache: dict[int, Node] = {}
 
     def get(self, key: int) -> int:
         if key in self.cache:
             node = self.cache[key]
-            self.remove(node)
-            self.insert_as_head(node)
+            self.touch(node)
             return node.val
         else:
             return -1
 
+    def touch(self, node: Node | None) -> None:
+        self.cut(node)
+        self.append(node)
+
+    def append(self, node: Node | None) -> None:
+        assert node
+
+        prv = self.tail.prv
+        assert prv
+        prv.nxt = node
+        node.nxt = self.tail
+        self.tail.prv = node
+        node.prv = prv
+
+    @staticmethod
+    def cut(node: Node | None) -> None:
+        assert node
+
+        prv = node.prv
+        nxt = node.nxt
+        assert prv and nxt
+        prv.nxt = nxt
+        nxt.prv = prv
+
+    def pop_left(self) -> None:
+        if self.head.nxt is not self.tail:
+            node = self.head.nxt
+            self.cut(node)
+            assert node
+            del self.cache[node.key]
+
     def put(self, key: int, value: int) -> None:
+        # existing key, update
         if key in self.cache:
             node = self.cache[key]
             node.val = value
-            self.remove(node)
-        else:
-            node = Node(val=value, key=key)
-            self.cache[key] = node
-            self.size += 1
+            self.touch(node)
 
-            if self.size > self.capacity:
-                oldest_node = self.tail.prev
-                assert oldest_node
-                self.remove(oldest_node)
-                del self.cache[oldest_node.key]
-                self.size -= 1
+        # new key, free space available
+        elif self.n:
+            node = Node(value, key)
+            self.append(node)
+            self.cache[key] = node
+            self.n -= 1
 
-        self.insert_as_head(node)
+        # new key, no free space
+        else:
+            node = Node(value, key)
+            self.pop_left()
+            self.append(node)
+            self.cache[key] = node