PTA-数据结构-03-树2 List Leaves (25 分)

本文介绍了一种算法,用于遍历一棵二叉树,并按照从上到下、从左到右的顺序打印出所有的叶节点。通过输入节点数和各节点的左右子节点信息,算法能够找出树的根节点,并使用队列进行广度优先搜索,最终输出叶节点的索引。

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Given a tree, you are supposed to list all the leaves in the order of top down, and left to right.
Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤10) which is the total number of nodes in the tree – and hence the nodes are numbered from 0 to N−1. Then N lines follow, each corresponds to a node, and gives the indices of the left and right children of the node. If the child does not exist, a “-” will be put at the position. Any pair of children are separated by a space.
Output Specification:

For each test case, print in one line all the leaves’ indices in the order of top down, and left to right. There must be exactly one space between any adjacent numbers, and no extra space at the end of the line.
Sample Input:

8
1 -

0 -
2 7

5 -
4 6

Sample Output:

4 1 5

#include <iostream> 
#include <queue>
#include <vector>

using namespace std;


typedef struct _TreeNode {
	int left;
	int right;
} TreeNode;


int ch2int(char c)
{
	if (c >= '0' && c <= '9')
		return c-'0';
	else
		return -1;
}


int main(void)
{
	int n;
	cin >> n;
	
	vector<TreeNode> treeNodes;
	vector<int> checked(n, 0);
	
	// get input
	for (int i=0; i<n; i++)
	{
		char l,r;
		cin >> l >> r;
		
		TreeNode t;
		t.left = ch2int(l);
		t.right = ch2int(r);
		treeNodes.push_back(t);
		
		if (t.left != -1)
			checked[t.left] = 1;
		if (t.right != -1)
			checked[t.right] = 1;
	}
	
	// find the root
	int root = 0;
	for (int i=0;i<n;i++)
	{
		if (checked[i] == 0)
		{
			root = i;
			break;
		}
	}
	
	// scan and output
	queue<int> s;
	s.push(root);
	while(!s.empty())
	{
		int next = s.front();
		s.pop();
		
		if (treeNodes[next].left == -1 && treeNodes[next].right == -1 )
		{
			cout << next;
			if (!s.empty())
				cout << " ";
		}
		
		if (treeNodes[next].left != -1)
			s.push(treeNodes[next].left);
		if (treeNodes[next].right != -1)
			s.push(treeNodes[next].right);

	}
}
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