LCA,WA,求调
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LCA,WA,求调
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Lacrymabre楼主2021/9/25 12:45
#include<iostream>
#include<cstdio>
#include<iomanip>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<queue>
#include<stack>
#include<vector>
#include<map>

#define ll unsigned long long
#define db double
#define MAX 0x7fffffff
#define INF 0X3fffffff
#define N 100001<<1

using namespace std;

inline unsigned long long read()
{
    ll f=1,s=0;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9')s=(s<<1)+(s<<3)+ch-'0',ch=getchar();
    return s*f;
}

map<ll,map<ll,ll> >M;
ll from[N],net[N],to[N],f[N][30],V[N];
ll maxx[N][30],minn[N][30];
ll n,m,tot,cnt,res,ans,last,cntt;
ll fa[N],dep[N],lg[N];
struct node {
	ll y,x,v,use;
}edge[3*N];

void add(ll x,ll y,ll v){
	to[++cnt]=y;
	V[cnt]=v;
	net[cnt]=from[x];
	from[x]=cnt;
}

ll find(ll x){
	if(fa[x]!=x) fa[x]=find(fa[x]);
	return fa[x];
}

bool cmp(node a,node b){
	return a.v<b.v;
}

void dfs(ll u,ll fa){
	dep[u]=dep[fa]+1;f[u][0]=fa;
	for(int i=1;i<=18;i++){
		f[u][i]=f[f[u][i-1]][i-1];
		maxx[u][i]=max(maxx[u][i-1],maxx[f[u][i-1]][i-1]);
		minn[u][i]=max(minn[u][i-1],minn[f[u][i-1]][i-1]);
		if(maxx[u][i-1]!=maxx[f[u][i-1]][i-1]) minn[u][i]=max(minn[u][i],min(maxx[u][i-1],maxx[f[u][i-1]][i-1]));
	}
	for(int i=from[u];i;i=net[i]){
		if(to[i]!=fa){
			maxx[to[i]][0]=V[i];
			minn[to[i]][0]=-1000000;
			dfs(to[i],u);
		}
	}
}

ll LCA(ll x,ll y){
	 if(dep[x]<dep[y])swap(x,y);
    for(int i=18;i>=0;i--)
        if(dep[f[x][i]]>=dep[y])
            x=f[x][i];
    if(x==y)return x;
    for(int i=18;i>=0;i--)
        if(f[x][i]!=f[y][i])
            x=f[x][i],y=f[y][i];
    return f[x][0];
}

ll romax(ll x,ll y,ll d){
	ll res=-1000000;
    for(int i=18;i>=0;i--)
        if(dep[f[x][i]]>=dep[y]){
            if(d!=maxx[x][i]) res=max(res,maxx[x][i]);
            else res=max(res,minn[x][i]);
            x=f[x][i];
        }
    return res;
}

int main(){
	n=read();m=read();
	for(int i=1;i<=n;i++) fa[i]=i,lg[i]=lg[i>>1]+1;
	for(int i=1;i<=m;i++){
		ll x,y;
		x=edge[i].x=read();y=edge[i].y=read();edge[i].v=read();
	}
	sort(edge+1,edge+m+1,cmp);
	for(int i=1;1<=m;i++){
		ll x=find(edge[i].x),y=find(edge[i].y);
		if(x==y) continue;
		add(edge[i].x,edge[i].y,edge[i].v),add(edge[i].y,edge[i].x,edge[i].v);
		fa[x]=y;
		++cntt;
		ans+=edge[i].v;
		edge[i].use=1;
		if(cntt==n-1) break;
	}
	minn[1][0]=-0x7fff;
	dep[1]=1;
	dfs(1,0);
	last=2e9+9;
	for(int i=1;i<=m;i++){
		if(edge[i].use) continue;
		ll x=edge[i].x,y=edge[i].y,z=edge[i].v;
		ll lca=LCA(x,y);
		ll a=romax(x,lca,z);
		ll b=romax(y,lca,z);
		last=min(last,ans-max(a,b)+z);
		//cout<<ans<<" "<<a<<" "<<b<<" "<<z<<endl;
	}
	cout<<last;
	return 0;
}

样例输出10000013

2021/9/25 12:45
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