SPOJ NETADMIN Smart Network Administrator

保证满流的情况，最小化源点到制定点集上每条边的流量最大值。最小最大化问题惯用二分，SPOJ似乎很喜欢点标号乱搞？

/*
 Author : Speedcell
 Update : 2013-10-16
Version : soppYcell 2.4
*/
 
#include <algorithm>
#include <iostream>
#include <fstream>
#include <sstream>
#include <iomanip>
 
#include <map>
#include <set>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <vector>
#include <string>
#include <bitset>
#include <memory>
#include <complex>
#include <numeric>
 
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <time.h>
#include <ctype.h>
#include <assert.h>
#include <locale.h>
 
using namespace std;
 
#pragma pack(4)
 
#ifndef __CONSTANT__
#define __CONSTANT__
 
typedef long long LONG;
 
const double pi = acos(-1.0);
const int   inf = 0x7f7f7f7f;
const LONG  INF = 0x7f7f7f7f7f7f7f7fll;
 
const int go[8][2] = {{0,1},{0,-1},{1,0},{-1,0},{1,1},{1,-1},{-1,1},{-1,-1}};
 
#endif // __CONSTANT__
 
#ifndef __IO__
#define __IO__
 
inline bool RD(int    & a) {return scanf("%d",&a)!=EOF;}
inline bool RD(char   & a) {return scanf("%c",&a)!=EOF;}
inline bool RD(char   * a) {return scanf("%s", a)!=EOF;}
inline bool RD(double & a) {return scanf("%lf",&a)!=EOF;}
inline bool RD(LONG   & a) {return scanf("%I64d",&a)!=EOF;}
 
template<class T1> inline bool
    IN(T1 & a) {return RD(a);}
template<class T1,class T2> inline bool
    IN(T1 & a,T2 & b) {return RD(a)&&RD(b);}
template<class T1,class T2,class T3> inline bool
    IN(T1 & a,T2 & b,T3 & c) {return RD(a)&&RD(b)&&RD(c);}
template<class T1,class T2,class T3,class T4> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d) {return RD(a)&&RD(b)&&RD(c)&&RD(d);}
template<class T1,class T2,class T3,class T4,class T5> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e);}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e,T6 & f) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e)&&RD(f);}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline bool
    IN(T1 & a,T2 & b,T3 & c,T4 & d,T5 & e,T6 & f,T7 & g) {return RD(a)&&RD(b)&&RD(c)&&RD(d)&&RD(e)&&RD(f)&&RD(g);}
 
inline void PT(int      a) {printf("%d",a);}
inline void PT(char     a) {printf("%c",a);}
inline void PT(char   * a) {printf("%s",a);}
inline void PT(double   a) {printf("%f",a);}
inline void PT(unsigned a) {printf("%u",a);}
inline void PT(LONG     a) {printf("%I64d",a);}
inline void PT(string   a) {printf("%s",a.c_str());}
inline void PT(const char a[]) {printf("%s",a);}
 
template<class T1> inline void
    OT(T1 a) {PT(a);}
template<class T1,class T2> inline void
    OT(T1 a,T2 b) {PT(a),PT(' '),PT(b);}
template<class T1,class T2,class T3> inline void
    OT(T1 a,T2 b,T3 c) {PT(a),PT(' '),PT(b),PT(' '),PT(c);}
template<class T1,class T2,class T3,class T4> inline void
    OT(T1 a,T2 b,T3 c,T4 d) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d);}
template<class T1,class T2,class T3,class T4,class T5> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e);}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f);}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline void
    OT(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f,T7 g) {PT(a),PT(' '),PT(b),PT(' '),PT(c),PT(' '),PT(d),PT(' '),PT(e),PT(' '),PT(f),PT(' '),PT(g);}
 
template<class T1> inline void
    OL(T1 a) {OT(a),PT('\n');}
template<class T1,class T2> inline void
    OL(T1 a,T2 b) {OT(a,b),PT('\n');}
template<class T1,class T2,class T3> inline void
    OL(T1 a,T2 b,T3 c) {OT(a,b,c),PT('\n');}
template<class T1,class T2,class T3,class T4> inline void
    OL(T1 a,T2 b,T3 c,T4 d) {OT(a,b,c,d),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e) {OT(a,b,c,d,e),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5,class T6> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f) {OT(a,b,c,d,e,f),PT('\n');}
template<class T1,class T2,class T3,class T4,class T5,class T6,class T7> inline void
    OL(T1 a,T2 b,T3 c,T4 d,T5 e,T6 f,T7 g) {OT(a,b,c,d,e,f,g),PT('\n');}
 
#endif // __IO__
 
#ifndef __MACRO__
#define __MACRO__
 
#define ML(times) int tcase; IN(tcase); FOR(times,1,tcase)
 
#define FOR(i,a,b) for(int i=int(a),_##i=int(b);i<=_##i;i++)
#define DWN(i,b,a) for(int i=int(b),_##i=int(a);_##i<=i;i--)
#define ECH(i,u,pre,next) for(int i=int(pre[u]);i!=-1;i=int(next[i]))
 
#define MEM(a,v) memset(a,v,sizeof(a))
#define CLR(a,v) FOR(_i##a,0,sizeof(a)/sizeof(a[0])-1) a[_i##a]=v
 
#define LOOP(a,n)                                               \
    FOR(_i##a,0,(n)-1)                                          \
        OT(a[_i##a]),OT(_i##a!=__i##a?' ':'\n')
#define LOOP2(a,n,m)                                            \
    FOR(_i##a,0,(n)-1) FOR(_j##a,0,(m)-1)                       \
        OT(a[_i##a][_j##a]),OT(_j##a!=__j##a?' ':'\n')
#define LOOPG(G,n,pre,next)                                     \
    FOR(_i##a,0,(n)-1) ECH(_j##a,_i##a,pre,next)                \
        OL(_i##a,G[_j##a].v,G[_j##a].w)
 
#endif // __MACRO__
 
#ifndef __BIT__
#define __BIT__
 
template<class T> inline T lb(T i) {return i&-i;}
template<class T> inline T lc(T i) {return i<<1;}
template<class T> inline T rc(T i) {return i<<1|1;}
template<class T> inline T at(T a,int i) {return a& (T(1)<<i);}
template<class T> inline T nt(T a,int i) {return a^ (T(1)<<i);}
template<class T> inline T s1(T a,int i) {return a| (T(1)<<i);}
template<class T> inline T s0(T a,int i) {return a&~(T(1)<<i);}
 
#endif // __BIT__
 
#ifndef __COMPARER__
#define __COMPARER__
 
const double eps = 1e-8;
 
inline int cmp(double a,double b=0) {return fabs(b-a)<eps?0:((b-a)<eps?+1:-1);}
template<typename type> inline int cmp(type a,type b=0) {return a==b?0:(b<a?+1:-1);}
 
template<typename type> inline bool gt(type a,type b) {return cmp(a,b)> 0;}
template<typename type> inline bool ge(type a,type b) {return cmp(a,b)>=0;}
template<typename type> inline bool eq(type a,type b) {return cmp(a,b)==0;}
template<typename type> inline bool ne(type a,type b) {return cmp(a,b)!=0;}
template<typename type> inline bool le(type a,type b) {return cmp(a,b)<=0;}
template<typename type> inline bool ls(type a,type b) {return cmp(a,b)< 0;}
 
template<typename type> inline type smax(type a,type b) {return gt(a,b)?a:b;}
template<typename type> inline type smin(type a,type b) {return ls(a,b)?a:b;}
 
#endif // __COMPARER__
 
const int MAXV = 5000;
const int MAXE = 5000000;
 
struct node
{
	int v,w;
}G[MAXE];
int _index,pre[MAXV],next[MAXE];
 
inline void clear(void)
{
	_index=0;
	MEM(pre,-1);
}
inline void add(int u,int v,int w)
{
	G[_index].v=v;
	G[_index].w=w;
	next[_index]=pre[u];
	pre[u]=_index++;
}
 
int dis[MAXV],gap[MAXV],curr[MAXV],prev[MAXV],head[MAXV];
 
inline int SAP(int src,int des,int n)
{
	int u=src,sum=0,cnt;
	memcpy(head,pre,MAXV-1);
	MEM(dis,0); MEM(gap,0); gap[0]=n;
 
	while(dis[src]!=n)
	{
		bool flag=false;
		for(int &i=head[u];i!=-1;i=next[i])
		{
			int v=G[i].v;
			int w=G[i].w;
			if(w&&dis[u]==dis[v]+1)
			{
				curr[v]=i;
				prev[v]=u;
 
				flag=true;
				u=v;
 
				break;
			}
		}
		if(flag)
		{
			if(u==des)
			{
				cnt=inf;
				for(int i=des;i!=src;i=prev[i])
				{
					cnt=smin(cnt,G[curr[i]].w);
				}
				for(int i=des;i!=src;i=prev[i])
				{
					G[curr[i]].w-=cnt;
					G[curr[i]^1].w+=cnt;
				}
				sum+=cnt;
				u=src;
			}
		}
		else
		{
			if(!--gap[dis[u]]) break;
			else
			{
				dis[u]=n;
				head[u]=pre[u];
				ECH(i,u,pre,next)
				{
					int v=G[i].v;
					int w=G[i].w;
					if(w) dis[u]=smin(dis[u],dis[v]+1);
				}
				gap[dis[u]]++;
				if(u!=src) u=prev[u];
			}
		}
	}
 
	return sum;
}
 
int n,m,k,h[MAXV],u[MAXV],v[MAXV];
 
inline bool bin(int cap)
{
	clear();
	FOR(i,0,m-1)
	{
		add(u[i],v[i],cap);
		add(v[i],u[i],cap);
	}
	FOR(i,0,k-1)
	{
		add(h[i],0,1);
		add(0,h[i],0);
	}
	return SAP(1,0,n+1)==k;
}
inline LONG solve(void)
{
	int l=0,r=n,mid,ans;
	while(l<=r)
	{
		mid=(l+r)/2;
		if(bin(mid))
		{
			ans=mid;
			r=mid-1;
		}
		else l=mid+1;
	}
	return ans;
}
 
int main()
{
    #ifndef ONLINE_JUDGE
    freopen("Smart Network Administrator.txt","r",stdin);
    #else
    #endif
 
    ML(times)
    {
    	IN(n,m,k);
    	FOR(i,0,k-1) IN(h[i]);
    	FOR(i,0,m-1) IN(u[i],v[i]);
    	OL(solve());
    }
 
    return 0;
}