{"id":287,"date":"2024-03-03T17:20:00","date_gmt":"2024-03-03T09:20:00","guid":{"rendered":"https:\/\/www.n-bc.top\/?p=287"},"modified":"2026-08-21T11:44:35","modified_gmt":"2026-08-21T03:44:35","slug":"%e6%9c%80%e5%b0%8f%e7%94%9f%e6%88%90%e6%a0%91","status":"publish","type":"post","link":"https:\/\/www.n-bc.top\/?p=287","title":{"rendered":"\u6700\u5c0f\u751f\u6210\u6811"},"content":{"rendered":"\n

\u6811\uff1a\u6ca1\u6709\u73af\u7684\u56fe<\/strong><\/p>\n\n\n\n

\u5728\u56fe\u4e2d\u627e\u4e00\u4e2a\u6811\uff1a\u6743\u503c\u4ec5\u53ef\u80fd\u5c0f\uff0c\u5e76\u4e14\u5305\u542b\u56fe\u4e2d\u6240\u6709\u70b9<\/strong><\/p>\n\n\n\n

\n

\u751f\u6210\u6811\uff1a\u4e00\u4e2a\u6709n\u4e2a\u7ed3\u70b9\u7684\u8fde\u901a\u56fe\u7684\u751f\u6210\u6811\u662f\u539f\u56fe\u7684\u6781\u5c0f\u8fde\u901a\u5b50\u56fe\uff0c\u5305\u542b\u539f\u56fe\u4e2d\u7684\u6240\u6709n\u4e2a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6709\u4fdd\u6301\u56fe\u8fde\u901a\u7684\u6700\u5c11\u7684\u8fb9\u3002<\/p>\n\n\n\n

\u6700\u5c0f\u751f\u6210\u6811\uff1a\u751f\u6210\u6811\u4e2d\u6743\u503c\u6700\u5c0f\u7684\u4e00\u79cd\u65b9\u6848\u3002<\/p>\n\n\n\n

\u7ed9\u5b9a\u4e00\u4e2a\u65e0\u5411\u56fe\uff0c\u8bf7\u8f93\u51fa\u6700\u5c0f\u751f\u6210\u6811\u7684\u6743\u503c\u3002<\/p>\n\n\n\n

\u5b58\u5728\u91cd\u8fb9<\/p>\n<\/blockquote>\n\n\n\n

\u7b2c\u4e00\u79cd\u65b9\u6cd5\uff1a\u8003\u8651\u8fb9\uff0c\u514b\u9c81\u65af\u5361\u5c14\u53d1\u660e\uff08\u5e76\u67e5\u96c6\uff09\uff08Kruskal\u7b97\u6cd5\uff09<\/strong><\/p>\n\n\n\n

1.\u7ed9\u8fb9\u6743\u6392\u5e8f 2 2<\/del> 2 3 3<\/del>  4<\/del><\/strong><\/p>\n\n\n\n

2.\u8003\u8651\u6bcf\u6761\u8fb9\u7684\u53ef\u80fd\u6027<\/strong><\/p>\n\n\n\n

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44<\/td>		#include<bits\/stdc++.h>
using namespace std;
\/\/\u514b\u9c81\u65af\u5361\u5c14
int n,m,used[400001],num,ans;
struct p{
int x,y,z;\/\/\u8d77\u70b9\u7ec8\u70b9\uff0c\u6743\u503c
}a[400001];
int find(int x)
{
return used[x]=used[x]==x?x:find(used[x]);
}
bool cmp(p x,p y)
{
return x.z<y.z;\/\/\u6bd4\u6743\u503c
}
int main()
{
cin>>n>>m;
for(int i=1;i<=m;i++)
{
cin>>a[i].x>>a[i].y>>a[i].z;\/\/\u8f93\u5165
}
sort(a+1,a+1+m,cmp);
\/\/\u6bd4\u8f83\u6bcf\u6761\u8fb9\u7684\u201c\u8001\u5927\u201d\u662f\u5426\u662f\u540c\u4e00\u4e2a\u4eba\u3002\u540c\u4e00\u4e2a\u4eba\uff0c\u5373\u8fb9\u5728\u7edf\u4e00\u7ec4\u7ec7\uff0c\u4e0d\u80fd\u7eb3\u5165\u3002
for(int i=1;i<=n;i++)
used[i]=i;
for(int i=1;i<=m;i++)
{
int u=find(a[i].x);
int v=find(a[i].y);
if(u!=v)\/\/\u201c\u8001\u5927\u201d\u4e0d\u4e00\u6837\uff0c\u80fd\u5408\u5e76\u3002
{
used[u]=v;
ans+=a[i].z;
num++;
if(num==n-1)
{
cout<<ans;
break;
}
}
}
return 0;
}<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u7b2c\u4e8c\u79cd\u60c5\u51b5\uff1a\u8003\u8651\u70b9\uff0c\u4e00\u4e2a\u70b9\u80fd\u591f\u8fde\u63a5\u7684\u6700\u5c0f\u6743\u503c\u8fb9\uff0c\u5e76\u8003\u8651\u53ef\u80fd\u6027\uff08Prime\u7b97\u6cd5\uff09<\/strong><\/p>\n\n\n\n

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57<\/td>		#include<bits\/stdc++.h>
using namespace std;
\/\/Prime
struct point{
int e,w;
};
vector<point>head[100000];
int n,m,x,y,z,num,ans;
int dis[1000000],used[100000];
int main()
{
cin>>n>>m;
for(int i=1;i<=m;i++)
{
cin>>x>>y>>z;
head[x].push_back(point{y,z});
head[y].push_back(point{x,z});
}
memset(dis,0x7f,4*100000);
dis[1]=0;
for(int i=1;i<=n;i++)
{
int Min=1e9,k;
for(int j=1;j<=n;j++)
{
if(used[j]==0&&Min>dis[j])
{
Min=dis[j];
k=j;
}
}
if(k==0)
{
cout<<-1;
return 0;
}
used[k]=1;
ans+=dis[k];
num++;
if(num==n)
{
cout<<ans;
return 0;
}
for(int j=0;j<head[k].size();j++)
{
int v=head[k][j].e;
int va=head[k][j].w;
if(dis[v]>va)
{
dis[v]=va;

}
}
}
return 0;
}<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"

\u6811\uff1a\u6ca1\u6709\u73af\u7684\u56fe \u5728\u56fe\u4e2d\u627e\u4e00\u4e2a\u6811\uff1a\u6743\u503c\u4ec5\u53ef\u80fd\u5c0f\uff0c\u5e76\u4e14\u5305\u542b\u56fe\u4e2d\u6240\u6709\u70b9 \u751f\u6210\u6811\uff1a\u4e00\u4e2a\u6709n\u4e2a\u7ed3\u70b9\u7684\u8fde\u901a\u56fe\u7684\u751f\u6210\u6811\u662f\u539f\u56fe\u7684\u6781\u5c0f\u8fde\u901a\u5b50\u56fe\uff0c\u5305\u542b\u539f\u56fe\u4e2d\u7684\u6240\u6709n\u4e2a\u7ed3\u70b9\uff0c\u5e76\u4e14\u6709\u4fdd\u6301\u56fe\u8fde\u901a\u7684\u6700\u5c11\u7684\u8fb9\u3002 \u6700\u5c0f\u751f\u6210\u6811\uff1a\u751f …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[3,1],"tags":[],"class_list":["post-287","post","type-post","status-publish","format-standard","hentry","category-js","category-origin"],"_links":{"self":[{"href":"https:\/\/www.n-bc.top\/index.php?rest_route=\/wp\/v2\/posts\/287","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.n-bc.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.n-bc.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.n-bc.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.n-bc.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=287"}],"version-history":[{"count":0,"href":"https:\/\/www.n-bc.top\/index.php?rest_route=\/wp\/v2\/posts\/287\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.n-bc.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=287"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.n-bc.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=287"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.n-bc.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=287"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}