1004 Counting Leaves (30 分)
A family hierarchy is usually presented by a pedigree tree. Your job is to count those family members who have no child.
Input Specification:
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.
The input ends with N being 0. That case must NOT be processed.
Output Specification:
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
题目要求是按层输出每层的叶节点数量。
我的代码:
#include <iostream>
#include <vector>
using namespace std;
struct trNode {
int pId; //父节点ID
vector<int> ch;
};
int main() {
int n, m;
cin >> n >> m;
vector<trNode> tree(n + 1); //节点起始索引是1
for (int i = 0; i < m; i++) {
int root, num;
scanf("%d %d", &root, &num);
for (int j = 0; j < num; j++) {
int child;
scanf("%d", &child);
tree[child].pId = root;
tree[root].ch.push_back(child);
}
}
vector<int> layer{1}; //当前层所有节点ID
while (layer.size() > 0) { //若当前层节点数量不为0
vector<int> temp;
int non_leaf = 0;
for (int i = 0; i < layer.size(); i++) {
if (tree[layer[i]].ch.size() == 0)
non_leaf++;
else { //下层节点由该层所有子节点组成
temp.insert(temp.end(), tree[layer[i]].ch.begin(),
tree[layer[i]].ch.end());
}
}
if (layer[0] != 1)
printf(" ");
printf("%d", non_leaf);
layer = temp;
}
return 0;
}
写完后看看大家是怎么写的,结果都是用的DFS。感觉写法有点凑巧,所以记录一下。