NYNU_省赛选拔题(10)

本文介绍了一种用于模拟SARS在大学群体中潜在传播的算法。通过构建学生群组网络并应用并查集数据结构,该算法能快速找出所有可能的感染者。输入包括学生数量、群组数量及成员列表,输出为潜在感染者的总数。

题目描述

Severe acute respiratory syndrome (SARS), an atypical pneumonia of unknown aetiology, was recognized as a global threat in mid-March 2003. To minimize transmission to others, the best strategy is to separate the suspects from others. 
In the Not-Spreading-Your-Sickness University (NSYSU), there are many student groups. Students in the same group intercommunicate with each other frequently, and a student may join several groups. To prevent the possible transmissions of SARS, the NSYSU collects the member lists of all student groups, and makes the following rule in their standard operation procedure (SOP). 
Once a member in a group is a suspect, all members in the group are suspects. 
However, they find that it is not easy to identify all the suspects when a student is recognized as a suspect. Your job is to write a program which finds all the suspects.

输入

The input file contains several cases. Each test case begins with two integers n and m in a line, where n is the number of students, and m is the number of groups. You may assume that 0 < n <= 30000 and 0 <= m <= 500. Every student is numbered by a unique integer between 0 and n−1, and initially student 0 is recognized as a suspect in all the cases. This line is followed by m member lists of the groups, one line per group. Each line begins with an integer k by itself representing the number of members in the group. Following the number of members, there are k integers representing the students in this group. All the integers in a line are separated by at least one space. 

A case with n = 0 and m = 0 indicates the end of the input, and need not be processed.

 

 

 

输出

For each case, output the number of suspects in one line.

 

样例输入

100 4
2 1 2
5 10 13 11 12 14
2 0 1
2 99 2
200 2
1 5
5 1 2 3 4 5
1 0
0 0

样例输出

4
1
1

 

 

 1 #include <iostream>
 2 #include <algorithm>
 3 #include <cstring>
 4 #include <string>
 5 using namespace std;
 6 int a[30010];
 7 void cmp()
 8  {
 9     int i;
10     for(i=0;i<30005;i++)
11        {
12         a[i]=i;
13        } 
14  }
15  int root(int x)
16  {
17     while(a[x]!=x)
18         x=a[x];
19     return x;
20  }
21  void build(int x,int y)
22  {
23     int i,j;
24     i=root(x);
25     j=root(y);
26     if(i!=j)
27     {
28         if(i==0)
29            a[j]=i;
30         else a[i]=j;
31     }
32  }
33  int main()
34  {
35     int n,m,k,p,q,i,j,first,next;
36     while(cin>>n>>m)
37     {  if(n==0&&m==0) break;
38         cmp();
39         int ii=m; 
40         while(m--)
41         {
42             cin>>k>>first;
43             for(i=1;i<k;i++)
44                 {
45                     cin>>next;
46                     build(first,next);
47                 }   
48         }
49         q=0;
50         if(ii==0) cout<<"1"<<endl;
51         else
52         {
53            for(i=0;i<n;i++)
54            {
55               if(!root(a[i]))q++;
56            }
57            cout<<q<<endl;   
58         }
59     }
60     return 0;
61  } 

 

转载于:https://www.cnblogs.com/wangmengmeng/p/5271893.html

* Navicat Premium Data Transfer Source Server : localhost_3306 Source Server Type : MySQL Source Server Version : 80039 Source Host : localhost:3306 Source Schema : nynu_db Target Server Type : MySQL Target Server Version : 80039 File Encoding : 65001 Date: 06/05/2025 09:55:29*/SET NAMES utf8mb4;SET FOREIGN_KEY_CHECKS = 0;-- ------------------------------ Table structure for goods_nynu-- ----------------------------DROP TABLE IF EXISTS `goods_nynu`;CREATE TABLE `goods_nynu` ( `goods_id` int(0) NOT NULL AUTO_INCREMENT, `goods_name` varchar(20) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, `goods_price` double(10, 2) NULL DEFAULT NULL, `goods_num` int(0) NULL DEFAULT NULL, `goods_type_id` int(0) NULL DEFAULT NULL, PRIMARY KEY (`goods_id`) USING BTREE, INDEX `goods_type_id`(`goods_type_id`) USING BTREE, CONSTRAINT `goods_nynu_ibfk_1` FOREIGN KEY (`goods_type_id`) REFERENCES `type_nynu` (`type_id`) ON DELETE RESTRICT ON UPDATE RESTRICT) ENGINE = InnoDB CHARACTER SET = utf8mb4 COLLATE = utf8mb4_0900_ai_ci ROW_FORMAT = Dynamic;-- ------------------------------ Records of goods_nynu-- ----------------------------INSERT INTO `goods_nynu` VALUES (1, '测试用男半袖衬衫', 200.00, 1000, 4);INSERT INTO `goods_nynu` VALUES (2, '测试用男长袖衬衫', 250.00, 100, 5);-- ------------------------------ Table structure for type_nynu-- ----------------------------DROP TABLE IF EXISTS `type_nynu`;CREATE TABLE `type_nynu` ( `type_id` int(0) NOT NULL AUTO_INCREMENT, `type_name` varchar(20) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, `type_level` int(0) NULL DEFAULT NULL, `type_pid` int(0) NULL DEFAULT NULL, `type_path` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, PRIMARY KEY (`type_id`) USING BTREE) ENGINE = InnoDB CHARACTER SET = utf8mb4 COLLATE = utf8mb4_0900_ai_ci ROW_FORMAT = Dynamic;-- ------------------------------ Records of type_nynu-- ----------------------------INSERT INTO `type_nynu` VALUES (1, '男装', 1, NULL, '|1|');INSERT INTO `type_nynu` VALUES (2, '女装', 1, NULL, '|2|');INSERT INTO `type_nynu` VALUES (3, '衬衫', 2, 1, '|1|3|');INSERT INTO `type_nynu` VALUES (4, '半袖衬衫', 3, 3, '|1|3|4|');INSERT INTO `type_nynu` VALUES (5, '长袖衬衫', 3, 3, '|1|3|5|');SET FOREIGN_KEY_CHECKS = 1;
05-19
使用MyBatis实现对goods_nynu表的CRUD操作。(注,根据下面内容获得表goods_nynu* Navicat Premium Data Transfer Source Server : localhost_3306 Source Server Type : MySQL Source Server Version : 80039 Source Host : localhost:3306 Source Schema : nynu_db Target Server Type : MySQL Target Server Version : 80039 File Encoding : 65001 Date: 06/05/2025 09:55:29*/SET NAMES utf8mb4;SET FOREIGN_KEY_CHECKS = 0;-- ------------------------------ Table structure for goods_nynu-- ----------------------------DROP TABLE IF EXISTS `goods_nynu`;CREATE TABLE `goods_nynu` ( `goods_id` int(0) NOT NULL AUTO_INCREMENT, `goods_name` varchar(20) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, `goods_price` double(10, 2) NULL DEFAULT NULL, `goods_num` int(0) NULL DEFAULT NULL, `goods_type_id` int(0) NULL DEFAULT NULL, PRIMARY KEY (`goods_id`) USING BTREE, INDEX `goods_type_id`(`goods_type_id`) USING BTREE, CONSTRAINT `goods_nynu_ibfk_1` FOREIGN KEY (`goods_type_id`) REFERENCES `type_nynu` (`type_id`) ON DELETE RESTRICT ON UPDATE RESTRICT) ENGINE = InnoDB CHARACTER SET = utf8mb4 COLLATE = utf8mb4_0900_ai_ci ROW_FORMAT = Dynamic;-- ------------------------------ Records of goods_nynu-- ----------------------------INSERT INTO `goods_nynu` VALUES (1, '测试用男半袖衬衫', 200.00, 1000, 4);INSERT INTO `goods_nynu` VALUES (2, '测试用男长袖衬衫', 250.00, 100, 5);-- ------------------------------ Table structure for type_nynu-- ----------------------------DROP TABLE IF EXISTS `type_nynu`;CREATE TABLE `type_nynu` ( `type_id` int(0) NOT NULL AUTO_INCREMENT, `type_name` varchar(20) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, `type_level` int(0) NULL DEFAULT NULL, `type_pid` int(0) NULL DEFAULT NULL, `type_path` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_0900_ai_ci NULL DEFAULT NULL, PRIMARY KEY (`type_id`) USING BTREE) ENGINE = InnoDB CHARACTER SET = utf8mb4 COLLATE = utf8mb4_0900_ai_ci ROW_FORMAT = Dynamic;-- ------------------------------ Records of type_nynu-- ----------------------------INSERT INTO `type_nynu` VALUES (1, '男装', 1, NULL, '|1|');INSERT INTO `type_nynu` VALUES (2, '女装', 1, NULL, '|2|');INSERT INTO `type_nynu` VALUES (3, '衬衫', 2, 1, '|1|3|');INSERT INTO `type_nynu` VALUES (4, '半袖衬衫', 3, 3, '|1|3|4|');INSERT INTO `type_nynu` VALUES (5, '长袖衬衫', 3, 3, '|1|3|5|');SET FOREIGN_KEY_CHECKS = 1;
05-19
评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值