Find them, Catch them - POJ 1703 种类并查集
2015-08-26 15:56
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Find them, Catch them
Description
The police office in Tadu City decides to say ends to the chaos, as launch actions to root up the TWO gangs in the city, Gang Dragon and Gang Snake. However, the police first needs to identify which gang a criminal belongs to. The present question is, given
two criminals; do they belong to a same clan? You must give your judgment based on incomplete information. (Since the gangsters are always acting secretly.)
Assume N (N <= 10^5) criminals are currently in Tadu City, numbered from 1 to N. And of course, at least one of them belongs to Gang Dragon, and the same for Gang Snake. You will be given M (M <= 10^5) messages in sequence, which are in the following two kinds:
1. D [a] [b]
where [a] and [b] are the numbers of two criminals, and they belong to different gangs.
2. A [a] [b]
where [a] and [b] are the numbers of two criminals. This requires you to decide whether a and b belong to a same gang.
Input
The first line of the input contains a single integer T (1 <= T <= 20), the number of test cases. Then T cases follow. Each test case begins with a line with two integers N and M, followed by M lines each containing one message as described above.
Output
For each message "A [a] [b]" in each case, your program should give the judgment based on the information got before. The answers might be one of "In the same gang.", "In different gangs." and "Not sure yet."
Sample Input
Sample Output
题意:一共有两个集团,D u v表示u和v不在同一集团,A u v 查询uv是否在同一集团。
思路:种类并查集,p[i]表示i的祖先,rank[i]=0表示i与其祖先是同一集合,rank[i]=1表示i与其祖先不是同一集合。
AC代码如下:
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 36663 | Accepted: 11249 |
The police office in Tadu City decides to say ends to the chaos, as launch actions to root up the TWO gangs in the city, Gang Dragon and Gang Snake. However, the police first needs to identify which gang a criminal belongs to. The present question is, given
two criminals; do they belong to a same clan? You must give your judgment based on incomplete information. (Since the gangsters are always acting secretly.)
Assume N (N <= 10^5) criminals are currently in Tadu City, numbered from 1 to N. And of course, at least one of them belongs to Gang Dragon, and the same for Gang Snake. You will be given M (M <= 10^5) messages in sequence, which are in the following two kinds:
1. D [a] [b]
where [a] and [b] are the numbers of two criminals, and they belong to different gangs.
2. A [a] [b]
where [a] and [b] are the numbers of two criminals. This requires you to decide whether a and b belong to a same gang.
Input
The first line of the input contains a single integer T (1 <= T <= 20), the number of test cases. Then T cases follow. Each test case begins with a line with two integers N and M, followed by M lines each containing one message as described above.
Output
For each message "A [a] [b]" in each case, your program should give the judgment based on the information got before. The answers might be one of "In the same gang.", "In different gangs." and "Not sure yet."
Sample Input
1 5 5 A 1 2 D 1 2 A 1 2 D 2 4 A 1 4
Sample Output
Not sure yet. In different gangs. In the same gang.
题意:一共有两个集团,D u v表示u和v不在同一集团,A u v 查询uv是否在同一集团。
思路:种类并查集,p[i]表示i的祖先,rank[i]=0表示i与其祖先是同一集合,rank[i]=1表示i与其祖先不是同一集合。
AC代码如下:
#include<cstdio> #include<cstring> #include<iostream> #include<algorithm> using namespace std; typedef long long ll; int T,t,n,m; int p[100010],rank[100010]; char s[10]; int find(int x) { int fx; if(x!=p[x]) { fx=find(p[x]); rank[x]=(rank[x]+rank[p[x]])%2; p[x]=fx; } return p[x]; } int main() { int i,j,k,u,v,fu,fv; scanf("%d",&T); for(t=1;t<=T;t++) { scanf("%d%d",&n,&m); for(i=1;i<=n;i++) p[i]=i; memset(rank,0,sizeof(rank)); while(m--) { scanf("%s%d%d",s+1,&u,&v); fu=find(u); fv=find(v); if(s[1]=='D') { p[fv]=fu; rank[fv]=(rank[u]-rank[v]+1)%2; } else { if(fu==fv) { k=(rank[u]-rank[v]+2)%2; if(k==0) printf("In the same gang.\n"); else printf("In different gangs.\n"); } else printf("Not sure yet.\n"); } } } }
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