P2502 [HAOI2006]旅行 最小生成树

思路：枚举边集，最小生成树

提交：1次

题解：枚举最长边，添加较小边。

#include<cstdio>
#include<iostream>
#include<algorithm>
#define R register int
using namespace std;
#define ull unsigned long long
#define ll long long
#define pause (for(R i=1;i<=10000000000;++i))
#define In freopen("NOIPAK++.in","r",stdin)
#define Out freopen("out.out","w",stdout)
namespace Fread {
static char B[1<<15],*S=B,*D=B;
#ifndef JACK
#define getchar() (S==D&&(D=(S=B)+fread(B,1,1<<15,stdin),S==D)?EOF:*S++)
#endif
inline int g() {
    R ret=0,fix=1; register char ch; while(!isdigit(ch=getchar())) fix=ch=='-'?-1:fix;
    if(ch==EOF) return EOF; do ret=ret*10+(ch^48); while(isdigit(ch=getchar())); return ret*fix;
} inline bool isempty(const char& ch) {return (ch<=36||ch>=127);}
inline void gs(char* s) {
    register char ch; while(isempty(ch=getchar()));
    do *s++=ch; while(!isempty(ch=getchar()));
}
} using Fread::g; using Fread::gs;

namespace Luitaryi {
const int N=510,M=5010;
int n,m,s,t,up,dn;
double anss=1E+9;
int fa[N];
struct edge { int u,v,w;
    inline bool operator < (const edge& that) const{return w<that.w;}
}e[M];
inline int getf(int x) {return x==fa[x]?x:fa[x]=getf(fa[x]);}
inline void main() {
    n=g(),m=g();
    for(R i=1;i<=m;++i) e[i].u=g(),e[i].v=g(),e[i].w=g();
    sort(e+1,e+m+1); s=g(),t=g();
    for(R i=1;i<=m;++i) { R ans=0;//枚举下界，最小的边 
        for(R j=1;j<=n;++j) fa[j]=j;
        for(R j=i;j<=m;++j) {//往上枚举，直到两点连通 
            R uf=getf(e[j].u),vf=getf(e[j].v);
            fa[uf]=vf;
            if(getf(s)==getf(t)) {ans=j; break;}
        } if(i==1&&ans==0) return (void)printf("IMPOSSIBLE
");
        if(ans==0) break; register double tmp=1.0*e[ans].w/e[i].w;
        if(tmp<anss) anss=tmp,up=e[ans].w,dn=e[i].w;
    } R tmp=__gcd(up,dn); if(tmp==dn) printf("%d
",up/dn);
    else printf("%d/%d
",up/tmp,dn/tmp);
}
}
signed main() {
    Luitaryi::main();
    return 0;
} 

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2019.07.20