Fiber Network
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 2896 | Accepted: 1335 |
Description
Several startup companies have decided to build a
better Internet, called the "FiberNet". They have already installed many nodes
that act as routers all around the world. Unfortunately, they started to quarrel
about the connecting lines, and ended up with every company laying its own set
of cables between some of the nodes.
Now, service providers, who want to send data from node A to node B are curious, which company is able to provide the necessary connections. Help the providers by answering their queries.
Now, service providers, who want to send data from node A to node B are curious, which company is able to provide the necessary connections. Help the providers by answering their queries.
Input
The input contains several test cases. Each test
case starts with the number of nodes of the network n. Input is terminated by
n=0. Otherwise, 1<=n<=200. Nodes have the numbers 1, ..., n. Then follows
a list of connections. Every connection starts with two numbers A, B. The list
of connections is terminated by A=B=0. Otherwise, 1<=A,B<=n, and they
denote the start and the endpoint of the unidirectional connection,
respectively. For every connection, the two nodes are followed by the companies
that have a connection from node A to node B. A company is identified by a
lower-case letter. The set of companies having a connection is just a word
composed of lower-case letters.
After the list of connections, each test case is completed by a list of queries. Each query consists of two numbers A, B. The list (and with it the test case) is terminated by A=B=0. Otherwise, 1<=A,B<=n, and they denote the start and the endpoint of the query. You may assume that no connection and no query contains identical start and end nodes.
After the list of connections, each test case is completed by a list of queries. Each query consists of two numbers A, B. The list (and with it the test case) is terminated by A=B=0. Otherwise, 1<=A,B<=n, and they denote the start and the endpoint of the query. You may assume that no connection and no query contains identical start and end nodes.
Output
For each query in every test case generate a line
containing the identifiers of all the companies, that can route data packages on
their own connections from the start node to the end node of the query. If there
are no companies, output "-" instead. Output a blank line after each test
case.
Sample Input
3 1 2 abc 2 3 ad 1 3 b 3 1 de 0 0 1 3 2 1 3 2 0 0 2 1 2 z 0 0 1 2 2 1 0 0 0
Sample Output
ab d - z -
思路:floyd + 位运算。map[i][j]的二进制位前26位表示i到j路径里面字母a-z的存在情况,为1说明该字母存在,为0不存在。
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 #include<string> 5 #define MAX 205 6 using namespace std; 7 string str; 8 int map[MAX][MAX]; 9 void Switch(int n, int m){ 10 for(int i = 0;i < str.size();i ++){ 11 map[n][m] |= 1 << (str.at(i) - ‘a‘); 12 } 13 } 14 int main(){ 15 int n, u, v; 16 /* freopen("in.c", "r", stdin); */ 17 while(~scanf("%d", &n) && n){ 18 memset(map, 0, sizeof(map)); 19 while(cin >> u >> v && u && v){ 20 str.clear(); 21 cin >> str; 22 Switch(u, v); 23 } 24 for(int k = 1;k <= n;k ++) 25 for(int i = 1;i <= n;i ++) 26 for(int j = 1;j <= n;j ++) 27 map[i][j] |= (map[i][k] & map[k][j]); 28 while(cin >> u >> v && u && v){ 29 int flag = 0, temp = map[u][v]; 30 for(int i = 0;i < 26;i ++){ 31 if(temp & 1){ 32 flag = 1; 33 char c = i + ‘a‘; 34 cout << c; 35 } 36 temp >>= 1; 37 } 38 if(!flag) 39 cout << "-"; 40 cout << endl; 41 } 42 cout << endl; 43 } 44 return 0; 45 }