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poj 3308 Paratroopers 最小割—最大流

2014年10月23日 ⁄ 综合 ⁄ 共 2492字 ⁄ 字号 评论关闭

和方格取数类似的建图,基本上读完题就能看出来了,简单的最小割,至于取对数是常用方法,没什么好说的

网络流一般都是int的,double只要加一个eps精度判定就可以了~~

一次性编译 + 一次性ac~~看来我变强了。。。︿( ̄︶ ̄)︽( ̄︶ ̄)︿飞.飞.飞.

#include<iostream>
#include<vector>
#include<algorithm>
#include<cstdio>
#include<queue>
#include<stack>
#include<string>
#include<map>
#include<set>
#include<cmath>
#include<cassert>
#include<cstring>
#include<iomanip>
using namespace std;

#ifdef _WIN32
#define i64 __int64
#define format "%I64d\n"
#else
#define i64 long long
#define format "%lld\n"
#endif

#define CC(m,what)		memset(m,what,sizeof(m))
#define FOR(i,a,b)		for( int i = (a) ; i <= (b) ; i ++)
#define FF(i,a)			for( int i = 0 ; i < (a) ; i ++)
#define FFD(i,a)		for( int i = (a)-1 ; i >= 0 ; i --)
#define SS(a)			scanf("%d",&a)
#define LL(a)			((a)<<1)
#define RR(a)			(((a)<<1)+1)
#define PP(n,m,a)		puts("---");FF(i,n){FF(j,m)cout << a[i][j] << ' ';puts("");}
#define pb              	push_back
#define CL(Q)           	while(!Q.empty())Q.pop()
#define MM(name,what)   	memset(name,what,sizeof(name))
#define read			freopen("in.txt","r",stdin)
#define write			freopen("out.txt","w",stdout)

const int inf = 0x3f3f3f3f;
const double oo = 10e9;
const double eps = 1e-10;
const double PI = acos(-1.0);
const int maxn=111;
const int end=110;

struct zz
{
    int from;
    int to;
    int id;
    double c;
}zx,tz;

int T,m,n,l,tx,ty;
double td;
double sx[maxn];
double sy[maxn];
vector<zz>g[maxn];
queue<int>q;
int cen[maxn];


inline void init()
{   
    FF(i,maxn) g[i].clear();
    return ;
}

bool bfs()
{   
    CL(q);
    MM(cen,-1);
    cen[0] = 0;
    q.push(0);
    int now,to;
    while(!q.empty())
    {
        now = q.front();
        q.pop();
        FF(i,g[now].size())
        {
            to = g[now][i].to;
            if( g[now][i].c > eps && cen[to] == -1)
            {
                cen[to] = cen[now] + 1;
                q.push(to);
            }
        }               
    }
    return cen[end] != -1; 
}

double dfs(double flow = oo , int now = 0 )
{
    if(now == end)
    {
        return flow;
    }
    double temp,sum=0.0;
    int to;
    FF(i,g[now].size())
    {
        to = g[now][i].to;
        if( cen[to] == cen[now] + 1  && flow - sum > eps && g[now][i].c > eps )
        {
            temp = dfs ( min ( flow - sum , g[now][i].c ) , to );
            sum += temp;
            g[now][i].c -= temp;
            g[to][g[now][i].id].c += temp;
        }
    }          
    if(sum < eps) cen[now] = -1;                        
    return sum;
}


double dinic()
{
    double ans=0.0;
    while( bfs() )
    {
        ans += dfs();
    }    
    ans = exp (ans);    
    return ans;
}


int main()
{
    cin>>T;
    while(T--)
    {
        cin>>m>>n>>l;   
        init();
        for(int i=1;i<=m;i++)
        {
            cin>>td;
            td = log(td);
            sx[i] = td;
        }
        for(int i=1;i<=n;i++)
        {   
            cin>>td;
            td = log(td);
            sy[i] = td;
        }
        FOR(i,1,m) 
        {
            zx.from = 0;
            zx.to = i;
            zx.c = sx[i];
            zx.id = g[i].size();
            g[0].pb(zx);
            swap (zx.from , zx.to);
            zx.c = 0;
            zx.id = g[0].size() - 1;
            g[i].pb(zx);
        }
        FOR(i,1,n)
        {
            zx.from = 50 + i;
            zx.to = end;
            zx.c = sy[i];
            zx.id = g[end].size();
            g[50+i].pb(zx);
            swap (zx.from , zx.to);
            zx.c = 0;
            zx.id = g[50+i].size() - 1;
            g[end].pb(zx);
        }
        FOR(i,1,l)
        {
            cin>>tx>>ty;   
            zx.from = tx;
            zx.to = ty + 50;
            zx.c = oo;
            zx.id = g[zx.to].size();
            g[tx].pb(zx);
            swap (zx.from , zx.to);
            zx.c=0;
            zx.id = g[tx].size() - 1;
            g[zx.from].pb(zx);
        }
        cout.setf(ios::fixed);
        cout<< setprecision(4) << dinic() <<endl;        
    }
    return 0;   
}

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