2017 Multi-University Training Contest - Team 9 1005&&HDU 6165 FFF at Valentine【强联通缩点+拓扑排序】
2017 Multi-University Training Contest - Team 9 1005&&HDU 6165 FFF at Valentine【强联通缩点+拓扑排序】
FFF at Valentine
Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 1060 Accepted Submission(s): 506
Problem Description
At Valentine's eve, Shylock and Lucar were enjoying their time as any other couples. Suddenly, LSH, Boss of FFF Group caught both of them, and locked them into two separate cells of the jail randomly. But as the saying goes: There is always a way out , the lovers made a bet with LSH: if either of them can reach the cell of the other one, then LSH has to let them go. The jail is formed of several cells and each cell has some special portals connect to a specific cell. One can be transported to the connected cell by the portal, but be transported back is impossible. There will not be a portal connecting a cell and itself, and since the cost of a portal is pretty expensive, LSH would not tolerate the fact that two portals connect exactly the same two cells. As an enthusiastic person of the FFF group, YOU are quit curious about whether the lovers can survive or not. So you get a map of the jail and decide to figure it out.
Input
∙Input starts with an integer T (T≤120), denoting the number of test cases. ∙For each case, First line is two number n and m, the total number of cells and portals in the jail.(2≤n≤1000,m≤6000) Then next m lines each contains two integer u and v, which indicates a portal from u to v.
Output
If the couple can survive, print “I love you my love and our love save us!” Otherwise, print “Light my fire!”
Sample Input
3
5 5
1 2
2 3
2 4
3 5
4 5
3 3
1 2
2 3
3 1
5 5
1 2
2 3
3 1
3 4
4 5Sample Output
Light my fire!
I love you my love and our love save us!
I love you my love and our love save us!Source
2017 Multi-University Training Contest - Team 9
题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=6165
分析：缩点为DAG，则如果在拓扑序中出现了有两个及以上入度为0的点则不合法
下面给出AC代码：
1 #include <iostream>
2 #include <bits/stdc++.h>
3 using namespace std;
4 const int MAXN=1010;
5 const int MAXM=6010;
6 struct Edge{
7 int to,next;
8 }edge[MAXM],edge2[MAXM];
9 int head[MAXN],head2[MAXN],tot,tot2;
10 int Low[MAXN],DFN[MAXN],Stack[MAXN],Belong[MAXN];
11 int Index,top;
12 int scc;
13 bool Instack[MAXN];
14 int num[MAXN];
15 int in[MAXN],out[MAXN];
16 void addedge(int u,int v){
17 edge[tot].to=v;edge[tot].next=head[u];head[u]=tot++;
18 }
19 void addedge2(int u,int v){
20 edge2[tot2].to=v;edge2[tot2].next=head2[u];head2[u]=tot2++;
21 }
22 void Tarjan(int u){
23 int v;
24 Low[u]=DFN[u]=++Index;
25 Stack[top++]=u;
26 Instack[u]=true;
27 for(int i=head[u];i!=-1;i=edge[i].next){
28 v=edge[i].to;
29 if(!DFN[v]){
30 Tarjan(v);
31 if(Low[u]>Low[v])Low[u]=Low[v];
32 }
33 else if(Instack[v]&&Low[u]>DFN[v])
34 Low[u]=DFN[v];
35 }
36 if(Low[u]==DFN[u]){
37 scc++;
38 do{
39 v=Stack[--top];
40 Instack[v]=false;
41 Belong[v]=scc;
42 num[scc]++;
43 }
44 while(v!=u);
45 }
46 }
47 void solve(int N){
48 memset(DFN,0,sizeof(DFN));
49 memset(Instack,false,sizeof(Instack));
50 memset(num,0,sizeof(num));
51 Index=scc=top=0;
52 for(int i=1;i<=N;i++){
53 if(!DFN[i])
54 Tarjan(i);
55 }
56 }
57
58 bool map2[MAXN][MAXN];
59 void build(int n){
60 memset(map2,false,sizeof(map2));
61 memset(in,0,sizeof(in));
62 memset(out,0,sizeof(out));
63 memset(head2,-1,sizeof(head2));tot2=0;
64 for(int i=1;i<=n;i++){
65 for(int j=head[i];j!=-1;j=edge[j].next){
66 int v=edge[j].to;
67 int a=Belong[i];
68 int b=Belong[v];
69 if(a==b)continue;
70 if(!map2[a][b]){
71 addedge2(a,b);
72 map2[a][b]=true;
73 in[b]++;out[a]++;
74 }
75 }
76 }
77 }
78
79 void init(){
80 tot=0;
81 memset(head,-1,sizeof(head));
82 }
83
84 bool Top(){
85 queue<int >q;
86 while(!q.empty())q.pop();
87 for(int i=1;i<=scc;i++){
88 if(in[i]==0)q.push(i);
89 }
90
91 while(!q.empty()){
92 if(q.size()!=1)return false;
93 int u=q.front();
94 q.pop();
95 for(int i=1;i<=scc;i++){
96 if(map2[u][i]==true) {
97 in[i]--;
98 if(in[i]==0)q.push(i);
99 }
100 }
101 }
102 return true;
103 }
104
105 int n,m;
106 int main()
107 {
108 int T;
109 scanf("%d",&T);
110 while(T--){
111 scanf("%d%d",&n,&m);
112 init();
113 for(int i=0;i<m;i++){
114 int u,v;
115 scanf("%d%d",&u,&v);
116 addedge(u,v);
117 }
118 solve(n);
119 build(n);
120
121 if(!Top()){printf("Light my fire!\n");}
122 else printf("I love you my love and our love save us!\n");
123 }
124
125 return 0;
126 }