import java.util.HashMap;
import java.util.LinkedList;
import java.util.Queue;
public class test15 {
public static class Node{
public int value;
public Node left;
public Node right;
public Node(int data){
this.value = data;
}
}
//按层次遍历二叉树并打印每个节点的值,使用了队列来实现广度优先搜索(BFS)
public static void level(Node head){
if(head == null){
return;
}
Queue<Node> queue = new LinkedList<>();
queue.add(head);
while (!queue.isEmpty()){
Node cur = queue.poll();
System.out.println(cur.value);
if(cur.left != null){
queue.add(cur.left);
}
if(cur.right != null){
queue.add(cur.right);
}
}
}
//求树的最大宽度
//方法1使用HashMap
public static int maxWidthUseMap(Node head){
if(head == null){
return 0;
}
Queue<Node> queue= new LinkedList<>();
queue.add(head);
//key在哪一层为value的值
HashMap<Node , Integer> levelMap= new HashMap<>();
levelMap.put(head ,1);
int curLevel = 1;//当前统计哪一层的宽度
int curLevelNodes = 0;//当前层的宽度为多少
int max = 0;
while (!queue.isEmpty()){
Node cur = queue.poll();
int curNodeLevel = levelMap.get(cur);
if(cur.left != null){
levelMap.put(cur.left ,curNodeLevel +1);
queue.add(cur.left);
}
if(cur.right != null){
levelMap.put(cur.left , curNodeLevel + 1);
queue.add(cur.right);
}
if(curNodeLevel == curLevel){
curLevelNodes++;
}else{
max = Math.max(max , curLevelNodes);
curLevel++;
curLevelNodes =1;
}
}
max = Math.max(max , curLevelNodes);
return max;
}
//方法2不用HashMap
public static int maxWidthNoMap(Node head){
if(head == null){
return 0;
}
Queue<Node> queue = new LinkedList<>();
queue.add(head);
Node curEnd = head;//当前层最后一个节点是谁
Node nextEnd = null;//如果有下一层,那么下一层最后节点是谁
int max =0;
int curLevelNodes = 0;//当前层的节点数
while (!queue.isEmpty()){
Node cur = queue.poll();
if(cur.left != null){
queue.add(cur.left);
nextEnd = cur.left;
}
if(cur.right != null){
queue.add(cur.right);
nextEnd = cur.right;
}
curLevelNodes++;
if(cur == curEnd){
max = Math.max(max , curLevelNodes);
curLevelNodes = 0;
curEnd = nextEnd;
}
}
return max;
}
}