17年秋季第四题 PAT甲级 1139 First Contact (30分)

港控/mmm° 2023-07-15 13:05 64阅读 0赞

题目来源：[https://pintia.cn/problem-sets/994805342720868352/problems/994805343043829760][https_pintia.cn_problem-sets_994805342720868352_problems_994805343043829760]

备考汇总贴：[2020年6月PAT甲级满分必备刷题技巧][2020_6_PAT]

Unlike in nowadays, the way that boys and girls expressing their feelings of love was quite subtle in the early years. When a boy A had a crush on a girl B, he would usually not contact her directly in the first place. Instead, he might ask another boy C, one of his close friends, to ask another girl D, who was a friend of both B and C, to send a message to B -- quite a long shot, isn't it? Girls would do analogously.

Here given a network of friendship relations, you are supposed to help a boy or a girl to list all their friends who can possibly help them making the first contact.

### Input Specification: ###

Each input file contains one test case. For each case, the first line gives two positive integers N (1 < N ≤ 300) and M, being the total number of people and the number of friendship relations, respectively. Then M lines follow, each gives a pair of friends. Here a person is represented by a 4-digit ID. To tell their genders, we use a negative sign to represent girls.

After the relations, a positive integer K (≤ 100) is given, which is the number of queries. Then K lines of queries follow, each gives a pair of lovers, separated by a space. It is assumed that the first one is having a crush on the second one.

### Output Specification: ###

For each query, first print in a line the number of different pairs of friends they can find to help them, then in each line print the IDs of a pair of friends.

If the lovers A and B are of opposite genders, you must first print the friend of A who is of the same gender of A, then the friend of B, who is of the same gender of B. If they are of the same gender, then both friends must be in the same gender as theirs. It is guaranteed that each person has only one gender.

The friends must be printed in non-decreasing order of the first IDs, and for the same first ones, in increasing order of the seconds ones.

### Sample Input: ###

10 18
    -2001 1001
    -2002 -2001
    1004 1001
    -2004 -2001
    -2003 1005
    1005 -2001
    1001 -2003
    1002 1001
    1002 -2004
    -2004 1001
    1003 -2002
    -2003 1003
    1004 -2002
    -2001 -2003
    1001 1003
    1003 -2001
    1002 -2001
    -2002 -2003
    5
    1001 -2001
    -2003 1001
    1005 -2001
    -2002 -2004
    1111 -2003

### Sample Output: ###

4
    1002 2004
    1003 2002
    1003 2003
    1004 2002
    4
    2001 1002
    2001 1003
    2002 1003
    2002 1004
    0
    1
    2003 2001
    0

# 题意（源自[liuchuo][]，经过了我的编辑补充） #

用正数代表男，负数代表女，用四位整数给N个人编号，给出M对朋友关系。要求写出K种交友方案的所有传话人，非降序输出编号对。

# 分析 #

1.用unordered\_map<int, bool> arr标记两个人是否是朋友（邻接矩阵表示），  
   用vector<int> v\[10000\]标记所有人的同性朋友（邻接表表示）  
2.要A和B在一起：  
（1）先找A的所有同性朋友C，再找B的所有同性朋友D  
（2）当C和D两人是朋友的时候则可以输出C和D  
3.A在寻找同性朋友时（即男生找男生、女生找女生），需要避免找到他想要的伴侣B，所以当当前朋友就是B或者B的同性朋友就是A时舍弃该结果  
4.输出时候要以4位数的方式输出，所以要%04d  
5.如果用int接收一对朋友，-0000和0000对于int来说都是0，将无法得知这个人的性别，也就会影响他找他的同性朋友的那个步骤，所以考虑用字符串接收，因为题目中已经表示会以符号位加四位的方式给出输入，所以只要判断字符串是否大小相等，如果大小相等说明这两个人是同性  
6.结果数组因为必须按照第一个人的编号从小到大排序（当第一个相等时按照第二个人编号的从小到大排序），所以要用sort对ans数组排序后再输出结果  
7.使用unordered\_map<int, bool> arr 替代二维数组可避免内存超限

# 满分代码 #

#include <iostream>
    #include <string>
    #include <vector>
    #include <algorithm>
    #include <unordered_map>
    using namespace std;
    unordered_map<int, bool> arr;
    struct node {
        int a, b;
    };
    bool cmp(node x, node y) {
        return x.a != y.a ? x.a < y.a : x.b < y.b;
    }
    int main() {
        int n, m, k;
        scanf("%d%d", &n, &m);
        vector<int> v[10000];
        for (int i = 0; i < m; i++) {
            string a, b;
            cin >> a >> b;
            if (a.length() == b.length()) {
                v[abs(stoi(a))].push_back(abs(stoi(b)));
                v[abs(stoi(b))].push_back(abs(stoi(a)));
            }
            arr[abs(stoi(a)) * 10000 + abs(stoi(b))] = arr[abs(stoi(b)) * 10000 + abs(stoi(a))] = true;
        }
        scanf("%d", &k);
        for (int i = 0; i < k; i++) {
            int c, d;
            cin >> c >> d;
            vector<node> ans;
            for (int j = 0; j < v[abs(c)].size(); j++) {
                for (int k = 0; k < v[abs(d)].size(); k++) {
                    if (v[abs(c)][j] == abs(d) || abs(c) == v[abs(d)][k]) continue;
                    if (arr[v[abs(c)][j] * 10000 + v[abs(d)][k]] == true)
                        ans.push_back(node{v[abs(c)][j], v[abs(d)][k]});
                }
            }
            sort(ans.begin(), ans.end(), cmp);
            printf("%d\n", int(ans.size()));
            for(int j = 0; j < ans.size(); j++)
                printf("%04d %04d\n", ans[j].a, ans[j].b);
        }
        return 0;
    }

备考汇总贴：[2020年6月PAT甲级满分必备刷题技巧][2020_6_PAT]

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[https_pintia.cn_problem-sets_994805342720868352_problems_994805343043829760]: https://pintia.cn/problem-sets/994805342720868352/problems/994805343043829760
[2020_6_PAT]: https://blog.csdn.net/allisonshing/article/details/104213959
[liuchuo]: https://blog.csdn.net/liuchuo/article/details/79065004