Submission #698053

#TimeUsernameProblemLanguageResultExecution timeMemory
698053vjudge1Beads and wires (APIO14_beads)C++17
100 / 100
84 ms28404 KiB
#include<bits/stdc++.h>
using namespace std;
template <typename T> inline void read(T &x)
{
	x=0;T f=1;char c=getchar();
	for(;!isdigit(c);c=getchar()) if(c=='-')f=-1;
	for(;isdigit(c);c=getchar()) x=(x<<1)+(x<<3)+(c^48);
	x*=f;
}
template <typename T,typename ...Args>void read(T &x,Args&...args){read(x),read(args...);}
template <typename T> void print(T x)
{
	if(x<0) x=-x,putchar('-');
	if(x>9) print(x/10);
	putchar(x%10+48);
}
template <typename T> void print(T x,char c){print(x); putchar(c);}
template<typename T>inline void output(T x){print(x,' ');}
template<typename T,typename ...Arg>inline void output(T x,Arg ...arg){output(x);output(arg...);}
const int N=200007; const long long inf=0x3f3f3f3f3f3f3f3f;
int n,cnt,h[N],vfa[N],v[2][N];
long long ans,f[N][2],g[N][2],dp[N][2],mx[2][N];
struct edge{int to,nxt,w;}mp[N<<1];
void add(int x,int y,int z)
{
	cnt++;
	mp[cnt].nxt=h[x];
	mp[cnt].to=y;
	mp[cnt].w=z;
	h[x]=cnt;
}
void solve1(int x,int fa)
{
	mx[0][x]=mx[1][x]=-inf;
	v[0][x]=v[1][x]=0;
	for(int i=h[x];i;i=mp[i].nxt)
	{
		int y=mp[i].to,w=mp[i].w;
		if(y==fa) continue;
		vfa[y]=w; solve1(y,x);
		f[x][0]+=max(f[y][0],f[y][1]+w);
		long long val=f[y][0]+w-max(f[y][0],f[y][1]+w);
		if(mx[0][x]<val)
			v[1][x]=v[0][x],
			mx[1][x]=mx[0][x],
			v[0][x]=y,mx[0][x]=val;
		else if(mx[1][x]<val)
			v[1][x]=y,mx[1][x]=val;
	}
	f[x][1]=f[x][0]+mx[0][x];
}
void solve2(int x,int fa)
{
	for(int i=h[x];i;i=mp[i].nxt)
	{
		int y=mp[i].to,w=mp[i].w;
		if(y==fa) continue;
		if(v[0][x]==y)
			swap(mx[0][x],mx[1][x]),
			swap(v[0][x],v[1][x]);
		dp[x][0]=g[x][0]-max(f[y][0],f[y][1]+w);
		dp[x][1]=dp[x][0]+mx[0][x];
		if(x>1)
			dp[x][1]=max(dp[x][1],dp[x][0]+dp[fa][0]+vfa[x]-max(dp[fa][0],dp[fa][1]+vfa[x]));
		g[y][0]=f[y][0]+max(dp[x][0],dp[x][1]+w);
		if(mx[0][x]<mx[1][x])
			swap(mx[0][x],mx[1][x]),
			swap(v[0][x],v[1][x]);
		solve2(y,x);
	}
}
int main()
{
	read(n);
	for(int i=1,x,y,z;i<n;i++)
		read(x,y,z),add(x,y,z),add(y,x,z);
	solve1(1,0);
	g[1][0]=f[1][0];
	solve2(1,0);
	for(int i=1;i<=n;i++)
		ans=max(ans,g[i][0]);
	print(ans,'\n');
	return 0;
}
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