已知一棵完全二叉树,求其节点的个数 要求:时间复杂度低于O(N),N为这棵树的节点个数

 package my_basic.class_4;

 public class Code_08_CBTNode {
// 完全二叉树的节点个数 复杂度低于O(N) public static class Node {
int value;
Node left;
Node right; public Node(int value) {
this.value = value;
};
} public static int nodeNum(Node head) {
if (head == null) {
return 0;
}
return bs(head, 1, mostLeftLevel(head, 1));
} public static int bs(Node node, int level, int h) {
if (level == h) {
return 1;
}
if (mostLeftLevel(node.right, level + 1) == h) {
System.out.println("递归中右 = h --:"+(1 << (h - level) + bs(node.right, level + 1, h)));
return (1 << (h - level)) + bs(node.right, level + 1, h);
} else {
System.out.println("递归中右 != h:"+(1 << (h - level - 1) + bs(node.left, level + 1, h)));
return (1 << (h - level - 1)) + bs(node.left, level + 1, h);
}
} public static int mostLeftLevel(Node node, int level) {
while (node != null) {
level++;
node = node.left;
}
return level - 1;
} //打印二叉树
public static void printTree(Node head) {
System.out.println("Binary Tree:");
printInOrder(head, 0, "H", 17);
System.out.println();
} public static void printInOrder(Node head, int height, String to, int len) {
if (head == null) {
return;
}
printInOrder(head.right, height + 1, "v", len);
String val = to + head.value + to;
int lenM = val.length();
int lenL = (len - lenM) / 2;
int lenR = len - lenM - lenL;
val = getSpace(lenL) + val + getSpace(lenR);
System.out.println(getSpace(height * len) + val);
printInOrder(head.left, height + 1, "^", len);
} public static String getSpace(int num) {
String space = " ";
StringBuffer buf = new StringBuffer("");
for (int i = 0; i < num; i++) {
buf.append(space);
}
return buf.toString();
} public static void main(String[] args) {
Node head = new Node(1);
head.left = new Node(2);
head.right = new Node(3);
head.left.left = new Node(4);
head.left.right = new Node(5);
head.right.left = new Node(6);
System.out.println(nodeNum(head)); // printTree(head); }
}
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