二分+2-SAT
先预处理出所有的v,然后离散化一下,在那个的基础上二分,对于每次二分出的值约束边权超过所二分出的边权的两点。
//OJ 1322 //by Cydiater //2015.8.26 #include <iostream> #include <cstdio> #include <cstring> #include <queue> #include <map> #include <ctime> #include <string> #include <algorithm> #include <iomanip> #include <cstdlib> #include <cmath> using namespace std; #define ll long long #define up(i,j,n) for(int i=j;i<=n;i++) #define down(i,j,n) for(int i=j;i>=n;i--) ; const int oo=0x3f3f3f3f; inline int read(){ ,f=; ;ch=getchar();} +ch-';ch=getchar();} return x*f; } map<int,int>m; ,cnt=,num[MAXN],leftt,rightt,len=,group[MAXN],group_num,dfn[MAXN],low[MAXN],stack[MAXN],node[MAXN][],part=,dfs_clock=; bool vis[MAXN]; struct edge{ int y,next,x; }e[MAXN]; struct *{ int x,y,v; }a[MAXN]; namespace solution{ inline void insert(int x,int y){e[++len].next=LINK[x];LINK[x]=len;e[len].y=y;e[len].x=x;} void init(){ N=read();M=read(); tmp[++top]=; up(i,,M){ a[i].x=read();a[i].y=read();a[i].v=read(); tmp[++top]=a[i].v; } sort(tmp+,tmp+top+); up(i,,top)if(!m[tmp[i]]){ m[tmp[i]]=++cnt; num[cnt]=tmp[i]; } up(i,,N)up(j,,)node[i][j]=++part; } void tarjan(int node){ dfn[node]=low[node]=++dfs_clock; vis[node]=;stack[++top]=node; for(int i=LINK[node];i;i=e[i].next) if(!dfn[e[i].y]){ tarjan(e[i].y); low[node]=min(low[node],low[e[i].y]); }else if(vis[e[i].y]) low[node]=min(low[node],dfn[e[i].y]); if(low[node]==dfn[node]){ int tmp;group_num++; do{ tmp=stack[top--]; vis[tmp]=; group[tmp]=group_num; }while(tmp!=node); } } bool check(int xx){ len=;top=;dfs_clock=;group_num=; memset(LINK,,sizeof(LINK)); memset(dfn,,sizeof(dfn)); memset(vis,,sizeof(vis)); up(i,,M)if(a[i].v>xx){ int x=a[i].x,y=a[i].y; //cout<<x<<' '<<y<<endl; insert(node[x][],node[y][]); insert(node[y][],node[x][]); insert(node[x][],node[y][]); insert(node[y][],node[x][]); } up(i,,N<<)if(!dfn[i])tarjan(i); up(i,,N)]]==group[node[i][]]); ; } void slove(){ leftt=;rightt=cnt; <rightt){ ; if(check(num[mid])) rightt=mid; else leftt=mid; } } void output(){ if(check(num[leftt])){ cout<<num[leftt]<<endl; }else cout<<num[rightt]<<endl; } } int main(){ //freopen("input.in","r",stdin); using namespace solution; init(); slove(); output(); ; }