Medium
Google, Amazon, Microsoft, Tiktok
https://leetcode.com/problems…
办法一,
两遍 BFS,第一遍结构 parent 表,同时定位到 start 节点和 end 节点,第二遍从 start 节点 BFS,找到 end 节点,同时保留门路,该办法超时。
class Pair {
TreeNode node;
String path;
public Pair(TreeNode node, String path) {
this.node = node;
this.path = path;
}
}
class Solution {public String getDirections(TreeNode root, int startValue, int destValue) {Map<TreeNode, TreeNode> parent = new HashMap<>();
parent.put(root, null);
Queue<TreeNode> q = new LinkedList<>();
q.offer(root);
TreeNode start = null, end = null;
while (!q.isEmpty()) {TreeNode cur = q.poll();
if (cur.val == startValue) start = cur;
if (cur.val == destValue) end = cur;
if (cur.left != null) {parent.put(cur.left, cur);
q.offer(cur.left);
}
if (cur.right != null) {parent.put(cur.right, cur);
q.offer(cur.right);
}
}
Queue<Pair> queue = new LinkedList<>();
queue.offer(new Pair(start, ""));
while (!queue.isEmpty()) {Pair cur = queue.poll();
if (cur.node == end) return cur.path;
TreeNode parentNode = parent.get(cur.node);
if (parentNode != null) queue.offer(new Pair(parentNode, cur.path + "U"));
TreeNode leftNode = cur.node.left;
if (leftNode != null) queue.offer(new Pair(leftNode, cur.path + "L"));
TreeNode rightNode = cur.node.right;
if (rightNode != null) queue.offer(new Pair(rightNode, cur.path + "R"));
}
return null;
}
}
办法二,
组合应用三个小算法,LCA 找最低公共先人,从一个 node 到另一个 node 找门路,结构总门路。
class TreeNode {
TreeNode left, right;
int val;
public TreeNode(int val) {this.val = val;}
}
public class LC2096 {public String getDirections(TreeNode root, int start, int end) {
// 找 lca
TreeNode lca = lca(root, start, end);
// 别离结构 LCA 到 start 和 LCA 到 end 的门路
List<Character> pathFromLcaToStart = new ArrayList<>();
List<Character> pathFromLcaToEnd = new ArrayList<>();
buildPath(lca, start, pathFromLcaToStart);
buildPath(lca, end, pathFromLcaToEnd);
StringBuilder res = new StringBuilder();
// 合并总门路,LCA-start 须要一路逆回去,全部都是 U
res.append("U".repeat(pathFromLcaToStart.size()));
for (char character : pathFromLcaToEnd) res.append(character);
return res.toString();}
private boolean buildPath(TreeNode node, int target, List<Character> path) {if (node == null) return false;
if (node.val == target) return true;
if (node.left != null) {path.add('L');
if (buildPath(node.left, target, path)) return true;
path.remove(path.size() - 1);
}
if (node.right != null) {path.add('R');
if (buildPath(node.right, target, path)) return true;
path.remove(path.size() - 1);
}
return false;
}
private TreeNode lca(TreeNode root, int start, int end) {if (root == null || root.val == start || root.val == end) return root;
TreeNode left = lca(root.left, start, end);
TreeNode right = lca(root.right, start, end);
if (left != null && right != null) return root;
return left != null ? left : right;
}
}