UVA 247 电话圈(Floyd传递闭包+输出连通分量)

时间:2023-03-09 00:13:43
UVA 247 	电话圈(Floyd传递闭包+输出连通分量)

电话圈

紫书P365

【题目链接】电话圈

【题目类型】Floyd传递闭包+输出连通分量

&题解:

原来floyd还可以这么用,再配合连通分量,简直牛逼。

我发现其实求联通分量也不难,就是for循环+dfs+vis记录数组。

在发上刘汝佳的代码链接:https://github.com/aoapc-book/aoapc-bac2nd/blob/master/ch11/UVa247.cpp

【时间复杂度】O(\(n^3\))

&代码:

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int INF = 0x3f3f3f3f;
#define cle(a,val) memset(a,(val),sizeof(a))
#define SI(N) scanf("%d",&(N))
#define SII(N,M) scanf("%d %d",&(N),&(M))
#define SIII(N,M,K) scanf("%d %d %d",&(N),&(M),&(K))
#define rep(i,b) for(int i=0;i<(b);i++)
#define rez(i,a,b) for(int i=(a);i<=(b);i++)
#define red(i,a,b) for(int i=(a);i>=(b);i--)
const ll LINF = 0x3f3f3f3f3f3f3f3f;
#define PU(x) puts(#x);
#define PI(A) cout<<(A)<<endl;
#define DG(x) cout<<#x<<"="<<(x)<<endl;
#define DGG(x,y) cout<<#x<<"="<<(x)<<" "<<#y<<"="<<(y)<<endl;
#define DGGG(x,y,z) cout<<#x<<"="<<(x)<<" "<<#y<<"="<<(y)<<" "<<#z<<"="<<(z)<<endl;
#define PIar(a,n) rep(i,n)cout<<a[i]<<" ";cout<<endl;
#define PIarr(a,n,m) rep(aa,n){rep(bb, m)cout<<a[aa][bb]<<" ";cout<<endl;}
const double EPS = 1e-9 ;
/* //////////////////////// C o d i n g S p a c e //////////////////////// */
const int MAXN = 50 + 5 ;
int n,m,d[MAXN][MAXN],ka;
bool v[MAXN];
vector<string> names;
int ID(string s){
for (int i=0;i<names.size();i++){
if (s==names[i]) return i;
}
names.push_back(s);
return names.size()-1;
}
void dfs(int x){
v[x]=1;
for(int i=0;i<n;i++){
if (!v[i]&&d[x][i]&&d[i][x]){
printf(", %s",names[i].c_str());
dfs(i);
}
}
}
void Solve()
{
while(~SII(n,m),n||m){
names.clear();
cle(d,0);
char s1[MAXN],s2[MAXN];
rep(i,m) {
scanf("%s%s",s1,s2);
d[ID(s1)][ID(s2)]=1;
}
for (int k=0;k<n;k++)
for (int i=0;i<n;i++)
for (int j=0;j<n;j++)
d[i][j]|=d[i][k]&&d[k][j];
if(ka) PU();
printf("Calling circles for data set %d:\n",++ka);
cle(v,0);
for (int i=0;i<n;i++){
if (!v[i]){
printf("%s",names[i].c_str());
dfs(i);
printf("\n");
}
}
}
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("1.in", "r", stdin);
freopen("1.out","w",stdout);
#endif
//iostream::sync_with_stdio(false);
//cin.tie(0), cout.tie(0);
// int T;cin>>T;while(T--)
Solve();
return 0;
}