2689. Extract Kth Character From The Rope Tree
You are given the
root
of a binary tree and an integerk
. Besides the left and right children, every node of this tree has two other properties, a stringnode.val
containing only lowercase English letters (possibly empty) and a non-negative integernode.len
. There are two types of nodes in this tree:
- Leaf: These nodes have no children,
node.len = 0
, andnode.val
is some non-empty string.- Internal: These nodes have at least one child (also at most two children),
node.len > 0
, andnode.val
is an empty string.The tree described above is called a Rope binary tree. Now we define
S[node]
recursively as follows:
- If
node
is some leaf node,S[node] = node.val
,- Otherwise if
node
is some internal node,S[node] = concat(S[node.left], S[node.right])
andS[node].length = node.len
.Return k-th character of the string
S[root]
.Note: If
s
andp
are two strings,concat(s, p)
is a string obtained by concatenatingp
tos
. For example,concat("ab", "zz") = "abzz"
.