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bzoj2395: [Balkan 2011]Timeismoney 最小乘积生成树

2016-01-04 20:16 369 查看
这一题很好 。。 数形结合

看题解。。。。
http://www.cnblogs.com/autsky-jadek/p/3959446.html
只能%

代码:

#include<cstdio>
#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
char c;
#define ll long long
inline void read(ll &a)
{
a=0;do c=getchar();while(c<'0'||c>'9');
while(c<='9'&&c>='0')a=(a<<3)+(a<<1)+c-'0',c=getchar();
}
ll n,m;
ll f[201];
ll find_f(ll x){return f[x]==x?x:find_f(f[x]);}
inline void Begin_Union(){for(ll i=1;i<=n;i++)f[i]=i;}
inline void Union(ll x,ll y){f[find_f(x)]=find_f(y);}
struct Point
{  ll x, y;
inline friend ll operator *(Point a,Point b){return a.x*b.y-a.y*b.x;}
inline friend Point operator -(Point a,Point b){return (Point){a.x-b.x,a.y-b.y} ; }
};
struct Edge
{
ll x,y;
ll u,v,w;
inline friend bool operator <(Edge a,Edge b){return a.w<b.w;}
inline void change_w_x(){w=x;}
inline void change_w_y(){w=y;}
inline void change(Point a,Point b)
{w=y*(b.x-a.x)+(a.y-b.y)*x;}

};
Edge Hi[10001];

inline Point MST()
{
Point res;
ll i,j=0;
res.x=res.y=0;
Edge now;
Begin_Union();
sort(Hi+1,Hi+1+m);
for(i=1;i<n;i++)
{
do
now=Hi[++j];
while(find_f(now.v)==find_f(now.u));
Union(now.v,now.u);
res.x+=now.x;res.y+=now.y;
}
return res;
}
//ll ans=1<<29;
Point aa;
void Div(Point a,Point b)
{
for(ll i=1;i<=m;i++)
Hi[i].change(a,b);
Point c=MST();
if(aa.x*aa.y>c.x*c.y||(aa.x*aa.y==c.x*c.y&&c.x<aa.x))aa=c;
if((c-a)*(b-a)<=0)return ;
Div(a,c);
Div(c,b);
}

int main()
{
read(n),read(m);
for(ll i=1;i<=m;i++)
read(Hi[i].u),Hi[i].u++,read(Hi[i].v),Hi[i].v++,read(Hi[i].x),read(Hi[i].y);
for(ll i=1;i<=m;i++)
Hi[i].change_w_x();
Point r=MST();
aa=r;
for(ll i=1;i<=m;i++)
Hi[i].change_w_y();
Point l=MST();
if(aa.x*aa.y>l.x*l.y||(aa.x*aa.y==l.x*l.y&&l.x<aa.x))aa=l;
Div(r,l);
printf("%d ",aa.x);
printf("%d\n",aa.y);
return 0;
}
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