次小生成树模板(poj1679)
prim
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <cstring>
#include <stack>
#include <cctype>
#include <queue>
#include <string>
#include <vector>
#include <set>
#include <map>
#include <climits>
#define lson root<<1,l,mid
#define rson root<<1|1,mid+1,r
#define fi first
#define se second
#define ping(x,y) ((x-y)*(x-y))
#define mst(x,y) memset(x,y,sizeof(x))
#define mcp(x,y) memcpy(x,y,sizeof(y))
#define Min(x,y) (x<y?x:y)
#define Max(x,y) (x>y?x:y)
using namespace std;
#define gamma 0.5772156649015328606065120 //欧拉常数
#define MOD 100000007
#define inf 0x3f3f3f3f
#define N 205
#define maxn 10001000
typedef long long LL;
typedef pair<int,int> PII; int vis[],d[],pic[][],used[][],path[][];
int ans,n,pre[]; int prim()
{
for(int i=; i<=n; ++i) pre[i]=;
mst(vis,);
vis[]=;
int res=;
int i,j;
for(i=; i<=n; ++i) d[i]=pic[][i];
for(i=; i<n; ++i)
{
int m=inf,u;
for(j=; j<=n; ++j)
if(!vis[j]&&d[j]<m)
m=d[u=j];
res+=m;
vis[u]=;
used[u][pre[u]]=used[pre[u]][u]=;
for(j=; j<=n; ++j)
if(!vis[j]&&pic[u][j]<d[j])
{d[j]=pic[u][j];pre[j]=u;}
else if(vis[j]&&j!=u)
path[j][u]=path[u][j]=Max(m,path[j][pre[u]]);
}
int temp=inf;
for(int i=; i<=n; ++i)
for(int j=i+; j<=n; ++j)
{
if(!used[i][j])
temp=Min(temp,res+pic[i][j]-path[i][j]);
}
if(temp==res) return ;
ans=res;
return ;
} int main()
{
//freopen("in.txt","r",stdin);
int i,j,x,y,v,group,m;
scanf("%d",&group);
while(group--)
{
scanf("%d%d",&n,&m);
mst(path,);
mst(pic,inf);
mst(used,);
for(i=; i<m; ++i)
{
scanf("%d%d%d",&x,&y,&v);
pic[x][y]=pic[y][x]=v;
}
ans=;
if(prim()) printf("%d\n",ans);
else printf("Not Unique!\n");
}
return ;
}
kruskal:
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <cstring>
#include <stack>
#include <cctype>
#include <queue>
#include <string>
#include <vector>
#include <set>
#include <map>
#include <climits>
#define lson root<<1,l,mid
#define rson root<<1|1,mid+1,r
#define fi first
#define se second
#define ping(x,y) ((x-y)*(x-y))
#define mst(x,y) memset(x,y,sizeof(x))
#define mcp(x,y) memcpy(x,y,sizeof(y))
#define Min(x,y) (x<y?x:y)
#define Max(x,y) (x>y?x:y)
using namespace std;
#define gamma 0.5772156649015328606065120
#define MOD 100000007
#define inf 0x3f3f3f3f
#define N 100005
#define maxn 1000050
typedef long long LL;
typedef pair<int,int> PII; int n,m,cnt,vis[6000],fp[105]; ///vis[]是标记第一次求mst时用过哪些边(后面枚举删边时用到)
struct Node{
int x,y,v;
bool operator<(const Node&a)const{
return v<a.v;
}
Node(){}
Node(int a,int b,int c):x(a),y(b),v(c){}
}node[6000];
int findp(int x){return fp[x]==x?x:fp[x]=findp(fp[x]);} int kus(int xx){ ///xx表示删除哪条边
int res=0;
for(int i=0;i<=n;++i)fp[i]=i;
int num=1;
for(int i=0;i<cnt;++i){
if(i==xx)continue;
int x=findp(node[i].x);
int y=findp(node[i].y);
if(x==y)continue;
res+=node[i].v;
fp[x]=y;
if(xx==inf)vis[i]=1;
if(++num==n)break;
}
if(num<n)return inf;
else return res;
} int main(){
int x,y,v,i,j,group,Case=0,m;
//freopen("in.txt","r",stdin);
scanf("%d",&group);
while(group--){
mst(vis,0);
scanf("%d%d",&n,&m);
cnt=0;
while(m--){
scanf("%d%d%d",&x,&y,&v);
node[cnt++]=Node(x,y,v);
}
sort(node,node+cnt);
int res=kus(inf),ans=inf;
for(i=0;i<cnt;++i){
if(vis[i])
ans=Min(ans,kus(i));
}
if(ans==res)printf("Not Unique!\n");
else printf("%d\n",res);
}
return 0;
}
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