最终二分的解就是答案
#include<iostream> #include<cstring> #include<algorithm> #include<cstdio> #include<vector> #include<sstream> #include<string> #include<climits> #include<stack> #include<set> #include<bitset> #include<cmath> #include<deque> #include<map> #include<queue> #define iinf 2000000000 #define linf 1000000000000000000LL #define dinf 1e200 #define eps 1e-11 #define all(v) (v).begin(),(v).end() #define sz(x) x.size() #define pb push_back #define mp make_pair #define lng long long #define sqr(a) ((a)*(a)) #define pii pair<int,int> #define pll pair<lng,lng> #define pss pair<string,string> #define pdd pair<double,double> #define X first #define Y second #define pi 3.14159265359 #define ff(i,xi,n) for(int i=xi;i<=(int)(n);++i) #define ffd(i,xi,n) for(int i=xi;i>=(int)(n);--i) #define ffl(i,r) for(int i=head[r];i!=-1;i=edge[i].next) #define cc(i,j) memset(i,j,sizeof(i)) #define two(x) ((lng)1<<(x)) #define N 500 #define M 1000000 #define lson l , mid , rt << 1 #define rson mid + 1 , r , rt << 1 | 1 #define Mod n #define Pmod(x) (x%Mod+Mod)%Mod using namespace std; typedef vector<int> vi; typedef vector<string> vs; typedef unsigned int uint; typedef unsigned lng ulng; template<class T> inline void checkmax(T &x,T y){if(x<y) x=y;} template<class T> inline void checkmin(T &x,T y){if(x>y) x=y;} template<class T> inline T Min(T x,T y){return (x>y?y:x);} template<class T> inline T Max(T x,T y){return (x<y?y:x);} template<class T> T gcd(T a,T b){return (a%b)==0?b:gcd(b,a%b);} template<class T> T lcm(T a,T b){return a*b/gcd(a,b);} template<class T> T Abs(T a){return a>0?a:(-a);} template<class T> inline T lowbit(T n){return (n^(n-1))&n;} template<class T> inline int countbit(T n){return (n==0)?0:(1+countbit(n&(n-1)));} template<class T> inline bool isPrimeNumber(T n) {if(n<=1)return false;for (T i=2;i*i<=n;i++) if (n%i==0) return false;return true;} template<class T> inline T Minmin(T a,T b,T c,T d){return Min(Min(a,b),Min(c,d));} struct tarjan_seg { int head[N],tot,id[N],pre[N],low[N],stack[N],top,n,m,Index,newid,newhead[N],*cur; struct pp { int v,next; }edge[N*N]; void add(int u,int v) { edge[tot].v=v; edge[tot].next=cur[u]; cur[u]=tot++; } void init() { cc(head,-1); tot=0; newid=0; cur=head; cc(pre,-1); cc(low,-1); top=0; cc(id,-1); Index=0; } void tarjan(int r,int p) { bool xx=false; pre[r]=low[r]=++Index; stack[++top]=r; ffl(i,r) { int v=edge[i].v; if(v==p&&xx==0) { xx=1; continue; } if(pre[v]==-1) { tarjan(v,r); checkmin(low[r],low[v]); } else if(id[v]==-1) checkmin(low[r],pre[v]); } if(pre[r]==low[r]) { int v; ++newid; do { v=stack[top--]; id[v]=newid; }while(v!=r); } } void solve() { ff(i,1,n) if(pre[i]==-1) tarjan(i,-1); } void build_map() { int hash[N]={}; cur=newhead; ff(i,1,n) { ffl(j,i) { int v=edge[j].v; if(id[i]!=id[v]&&hash[id[i]]!=id[j]) add(id[i],id[j]),hash[id[i]]=id[j]; } } } bool two_sat() { for(int i=1;i<=n;i+=2) if(id[i]==id[i+1]) return false; return true; } }; int nround; int x[N],y[N]; double dis[N][N]; double Distance(int i,int j) { return sqrt((double)sqr(x[j]-x[i])+(double)sqr(y[j]-y[i])); } tarjan_seg G; bool check(double r) { G.n=2*nround; G.init(); ff(i,1,2*nround) ff(j,1,2*nround) { int u=(i+1)/2,v=(j+1)/2; if(v==u) continue; if(dis[i][j]<=2*r) G.add(i,4*v-1-j),G.add(j,4*u-1-i); } G.solve(); return G.two_sat(); } int main() { while(scanf("%d",&nround)==1) { ff(i,1,2*nround) { scanf("%d%d",&x[i],&y[i]); } double le=0,ri=-100000,mid; ff(i,1,2*nround) ff(j,i+1,2*nround) { if((i+1)/2==(j+1)/2) continue; dis[i][j]=dis[j][i]=Distance(i,j); checkmax(ri,dis[i][j]); } while(ri-le>=eps) { mid=(le+ri)/2; if(check(mid)) le=mid; else ri=mid; } printf("%.2f\n",Max(le,ri)); } return 0; }