1076. Forwards on Weibo (30)【树+搜索】——PAT (Advanced Level) Practise

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本文讨论了如何计算在微博社交网络中特定用户可能触发的最大转发数量，仅考虑L级直接追随者。

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题目信息

1076. Forwards on Weibo (30)

时间限制3000 ms
内存限制65536 kB
代码长度限制16000 B

Weibo is known as the Chinese version of Twitter. One user on Weibo may have many followers, and may follow many other users as well. Hence a social network is formed with followers relations. When a user makes a post on Weibo, all his/her followers can view and forward his/her post, which can then be forwarded again by their followers. Now given a social network, you are supposed to calculate the maximum potential amount of forwards for any specific user, assuming that only L levels of indirect followers are counted.

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 positive integers: N (<=1000), the number of users; and L (<=6), the number of levels of indirect followers that are counted. Hence it is assumed that all the users are numbered from 1 to N. Then N lines follow, each in the format:

M[i] user_list[i]

where M[i] (<=100) is the total number of people that user[i] follows; and user_list[i] is a list of the M[i] users that are followed by user[i]. It is guaranteed that no one can follow oneself. All the numbers are separated by a space.

Then finally a positive K is given, followed by K UserID’s for query.

Output Specification:

For each UserID, you are supposed to print in one line the maximum potential amount of forwards this user can triger, assuming that everyone who can view the initial post will forward it once, and that only L levels of indirect followers are counted.

Sample Input:
7 3
3 2 3 4
0
2 5 6
2 3 1
2 3 4
1 4
1 5
2 2 6
Sample Output:
4
5

解题思路

合适的结构构造成树再进行搜索

AC代码

#include <cstdio>
#include <vector>
#include <queue>
using namespace std;
int n, level, tn, t, m;
vector<int> node[1005];

int find(int root){
    int s = 0;
    vector<bool> vis(n+1, false);
    queue<pair<int, int> > que;
    que.push(make_pair(root, 0));
    vis[root] = true;
    while (!que.empty()){
        int id = que.front().first;
        int lv = que.front().second;
        que.pop();
        if (lv >= level) continue;
        for (int i = 0; i < node[id].size(); ++i){
            if (!vis[node[id][i]]){
                vis[node[id][i]] = true;
                que.push(make_pair(node[id][i], lv + 1));
                ++s;
            }
        }
    }
    return s;
}
int main()
{
    scanf("%d%d", &n, &level);
    for (int i = 1; i <= n; ++i){
        scanf("%d", &tn);
        while (tn--) {
            scanf("%d", &t);
            if (t != i) node[t].push_back(i);
        }
    }
    scanf("%d", &m);
    while (m--){
        scanf("%d", &t);
        printf("%d\n", find(t));
    }
    return 0;
}