#Z01240. 二叉树排序

二叉树排序

题目描述

满二叉树:一个完整的高度二叉树n是一棵有根树,除了叶子之外,每个顶点都恰好有两个儿子,从根到任何叶子的路径长度为n.下图显示了完整的满二叉树(n=2) 排列:由n不同的整数从1到n组成,如 n=4时,1、2、2、4,就不是它的排列,因为2出现了2次,而3没有出现。3、2、1、4,就是n=4的一个排列,因为它只出现了1到n的数,且每一个数只出现了1次 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" 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" alt="" /> 现有一颗满二叉树,它的所有叶子节点的值(从左到右)恰好是1 到 2^n  的排列,我们的目的是让叶子节点的值从左到右按递增顺序排列。 我们可以进行一操作:选择树的任何非叶子的顶点,并交换它的左右子树(以及它们的子树)。

输入格式

题目包含多组输入 每组测试样例输入共2行,第一行包含一个整数n(1 第二行包含2的n次幂个整数,它们为 1 到 2^n 的排列 所有测试样例的n之和不会超过15

以下是Java写本题可能用到的方法: Scanner.hasNext()  用于检测是否还有输入 Math.abs(x) 返回绝对值|x|

输出格式

每组测试样例输出一行 如果可以通过交换左右子树的操作使这颗二叉树的叶子节点的值从左到右按递增顺序排排列请输出YES,然后打印最少需要的操作次数,否则打印NO

0
1
1
2 1
2
3 1 4 2
2
4 3 2 1
YES 0
YES 1
NO
YES 3