**Link/Cut trees** are a type of self-adjusting binary search tree that can maintain the subtree information of a tree. Subtree information refers to the size of a subtree or the sum of values of nodes in a subtree. By maintaining subtree information, we can efficiently perform operations on trees, such as finding the kth smallest element, finding the size of a subtree, or finding the sum of values of nodes in a subtree. In this tutorial, we will explain how to maintain subtree information using Link/Cut trees.

Link/Cut trees use a few key operations to maintain subtree information, which is:

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**Access(x)**: This operation makes x the root of the tree and updates the subtree information for all the nodes on the path from the current root to x.**Cut(x)**: This operation removes the edge between x and its parent and updates the subtree information for all the nodes on the path from the current root to x.**Link(x, y)**: This operation adds an edge between x and y, making x the parent of y, and updates the subtree information for all the nodes on the path from the current root to x.

**To maintain subtree information using Link/Cut trees, we need to perform the following steps:**

**Step 1**: Define a tree node structure that contains the subtree information and pointers to its parent and children.

**Step 2**: Implement the Access(x) operation. To do this, we first call the Splay(x) operation, which makes x the root of the tree. Then, we update the subtree information for all the nodes on the path from the previous root to x.

**Step 3**: Implement the Cut(x) operation. To do this, we first call the Access(x) operation, which makes x the root of the tree. Then, we set the parent of x to null, and update the subtree information for all the nodes on the path from the previous root to x.

**Step 4:** Implement the Link(x, y) operation. To do this, we first call the Access(y) operation, which makes y the root of its tree. Then, we call the Access(x) operation, which makes x the root of its tree. Finally, we set the parent of y to x, and update the subtree information for all the nodes on the path from the previous roots of x and y to x.

Here is an example implementation of **Link/Cut trees in Python**:

```
class Node:
def __init__(self, val):
self.val = val
self.parent = None
self.left = None
self.right = None
self.subtree_size = 1
class LinkCutTree:
def __init__(self):
self.null_node = Node(None)
def access(self, x):
self.splay(x)
if x.right:
x.right.parent = None
x.right.subtree_size += x.subtree_size
x.right = None
x.subtree_size = 1
while x.parent:
y = x.parent
self.splay(y)
if y.right:
y.right.parent = None
y.right.subtree_size += y.subtree_size
y.right = x
x.parent = y
x.subtree_size = y.subtree_size - (y.left.subtree_size if y.left else 0) - (x.right.subtree_size if x.right else 0) + 1
x = y
def cut(self, x):
self.access(x)
if x.left:
x.left.parent = None
x.left.subtree_size += x.subtree_size
x.left = None
else:
x.parent = None
def link(self,
```