1004. Counting Leaves (30)

本文介绍了一个算法问题:给定一个家族树结构,从根节点开始计算每层的叶子节点数量。通过使用C++编程语言,并借助STL中的vector和queue实现BFS遍历策略,有效地解决了该问题。

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1004. Counting Leaves (30)

时间限制
400 ms
内存限制
65536 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue
A family hierarchy is usually presented by a pedigree tree. Your job is to count those family members who have no child.

Input

Each input file contains one test case. Each case starts with a line containing 0 < N < 100, the number of nodes in a tree, and M (< N), the number of non-leaf nodes. Then M lines follow, each in the format:

ID K ID[1] ID[2] ... ID[K]
where ID is a two-digit number representing a given non-leaf node, K is the number of its children, followed by a sequence of two-digit ID's of its children. For the sake of simplicity, let us fix the root ID to be 01.

Output

For each test case, you are supposed to count those family members who have no child for every seniority level starting from the root. The numbers must be printed in a line, separated by a space, and there must be no extra space at the end of each line.

The sample case represents a tree with only 2 nodes, where 01 is the root and 02 is its only child. Hence on the root 01 level, there is 0 leaf node; and on the next level, there is 1 leaf node. Then we should output "0 1" in a line.

Sample Input
2 1
01 1 02
Sample Output
0 1

提交代

题解: 题意是给定一棵树,  01 是这棵树的根, 求每一层的叶子节点有多少个.

            我们可以用STL中的vector来存储树, 然后用BFS, 求出每一层叶子节点有多少个.


#include <cstdio>
#include <cstring>
#include <vector>
#include <queue>

using namespace std;
vector<int> V[110];

void search(int root) {
	queue<int> Q;
	Q.push(root);

	int cnt = 0, pre = 0;
	if (V[root].size() == 0)
		pre = 1;
	int Size = 1, total = 0;
	bool flag = false;
	while (!Q.empty()) {
		int cur = Q.front();
		Q.pop();
		--Size;
		for (int i = 0; i < V[cur].size(); ++i) {
			if (V[V[cur][i]].size() == 0)
				++cnt;
			++total;
			Q.push(V[cur][i]);
		}
		if (Size == 0) {
			if (flag == false) flag = true;
			else putchar(' ');
			printf("%d", pre);
			pre = cnt;
			Size = total;
			total = cnt = 0;
		}
	}
}

int main() {
	int n, m;
	scanf("%d%d", &n, &m);

	for (int i = 0; i < m; ++i) {
		int id, k, tmp;
		scanf("%d%d", &id, &k);
		while (k--) {
			scanf("%d", &tmp);
			V[id].push_back(tmp);
		}
	}

	search(1);
	return 0;
}


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