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POJ2513 Colored Sticks (并查集+trie)

时间:2014-09-14 20:34:57      阅读:202      评论:0      收藏:0      [点我收藏+]

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Colored Sticks
Time Limit: 5000MS   Memory Limit: 128000K
     

Description

You are given a bunch of wooden sticks. Each endpoint of each stick is colored with some color. Is it possible to align the sticks in a straight line such that the colors of the endpoints that touch are of the same color?

Input

Input is a sequence of lines, each line contains two words, separated by spaces, giving the colors of the endpoints of one stick. A word is a sequence of lowercase letters no longer than 10 characters. There is no more than 250000 sticks.

Output

If the sticks can be aligned in the desired way, output a single line saying Possible, otherwise output Impossible.

Sample Input

blue red
red violet
cyan blue
blue magenta
magenta cyan

Sample Output

Possible

Hint

Huge input,scanf is recommended.

Source

 
回顾了一下欧拉图的知识。。整个图的奇度点个数如果>=3或只有1个 就不能一笔画画完
中间re了几次。。因为trie里我开了n*30,但是外面数组只开了n...
 1 #include<set>
 2 #include<queue>
 3 #include<cstdio>
 4 #include<cstdlib>
 5 #include<cstring>
 6 #include<iostream>
 7 #include<algorithm>
 8 using namespace std;
 9 const int N = 250010;
10 #define For(i,n) for(int i=1;i<=n;i++)
11 #define For0(i,n) for(int i=0;i<n;i++)
12 #define Rep(i,l,r) for(int i=l;i<=r;i++)
13 
14 char s1[11],s2[11];
15 int n,in[N*30],fa[N*30],ans;
16 struct Trie{
17     int sz,ch[N*30][26],v[N*30],Loc[N*30];
18     Trie(){sz=1;}
19     int insert(char st[]){
20         int now=1;v[1]++;int len=strlen(st);
21         For0(i,len){
22             int id=st[i]-a;
23             if(!ch[now][id]) ch[now][id]=++sz;
24             v[now=ch[now][id]]++;
25         }
26         if(Loc[now]) return Loc[now];
27         else         return Loc[now]=++n;
28     }
29 }trie;
30 
31 int find(int i){
32     if(fa[i]==i) return i;
33     else         return fa[i]=find(fa[i]);
34 }
35 
36 int main(){
37     #ifndef ONLINE_JUDGE
38         freopen("trie.in","r",stdin);
39     #endif // ONLINE_JUDGE
40     For0(i,N*30) fa[i]=i;
41     while(scanf("%s %s",&s1,&s2)!=EOF){
42         int x=trie.insert(s1),y=trie.insert(s2);
43         in[x]++;in[y]++;
44         int fx=find(x),fy=find(y);
45         if(fx!=fy) fa[fx]=fy;
46     }
47     int checks=find(1);
48     Rep(i,2,n) if(find(i)!=checks){
49         puts("Impossible\n");
50         return 0;
51     }
52     For(i,n) {
53         in[i]=in[i]%2;
54         if(in[i]) ans++;
55     }
56     if(ans==1||ans>=3) puts("Impossible");
57     else               puts("Possible");
58     return 0;
59 }

 

POJ2513 Colored Sticks (并查集+trie)

标签:des   style   blog   http   color   io   os   ar   strong   

原文地址:http://www.cnblogs.com/kingnight/p/3971446.html

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