#include <iostream>
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <time.h>
#include <stdlib.h>
#include <string>
#include <bitset>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <algorithm>
#include <sstream>
#include <stack>
#include <iomanip>
#include <assert.h>
using namespace std;
#define pb push_back
#define mp make_pair
typedef pair<int,int> pii;
typedef long long ll;
typedef double ld;
typedef vector<int> vi;
#define fi first
#define se second
#define fe first
#define FO(x) {freopen(#x".in","r",stdin);freopen(#x".out","w",stdout);}
#define Edg int M=0,fst[SZ],vb[SZ],nxt[SZ];void ad_de(int a,int b){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;}void adde(int a,int b){ad_de(a,b);ad_de(b,a);}
#define Edgc int M=0,fst[SZ],vb[SZ],nxt[SZ],vc[SZ];void ad_de(int a,int b,int c){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;vc[M]=c;}void adde(int a,int b,int c){ad_de(a,b,c);ad_de(b,a,c);}
#define es(x,e) (int e=fst[x];e;e=nxt[e])
#define esb(x,e,b) (int e=fst[x],b=vb[e];e;e=nxt[e],b=vb[e])
#define SZ 666666
Edgc
int n;
struct F {
ll w[4];
}g[200055];
struct G {
ll w[3];
}t[SZ];
int vn;
#define S 1500
ll f[2][2][S+S+2];
inline void chkmax(ll&a,ll b) {
if(a<b)a=b;
}
void dp(int x,int fa=0) {
for esb(x,e,b) if(b!=fa) dp(b,x);
vn=0; ll ans=0;
for esb(x,e,b) if(b!=fa) {
ll v=vc[e];
ll f1=g[b].w[0]+v;
ll f2=g[b].w[1]+v;
ll f3=g[b].w[2]+v;
ll f4=max(g[b].w[3]+v,max(g[b].w[0],0LL));
f1-=f4; f2-=f4; f3-=f4; ans+=f4;
t[++vn].w[0]=f1; t[vn].w[1]=f3; t[vn].w[2]=f2;
}
random_shuffle(t+1,t+1+vn);
int c=0;
memset(f[c],-127/3,sizeof f[c]);
f[c][0][S]=0;
const ll bad=-3.5e18;
for(int i=1;i<=vn;++i) {
c^=1;
memcpy(f[c],f[c^1],sizeof f[c]);
ll F;
for(int j=0;j<2;++j)
for(int k=1;k<S+S;++k) if((F=f[c^1][j][k])>=bad) {
chkmax(f[c][j][k+1],F+t[i].w[0]);
chkmax(f[c][j][k-1],F+t[i].w[1]);
chkmax(f[c][j^1][k],F+t[i].w[2]);
}
}
g[x].w[0]=f[c][0][S]+ans;
g[x].w[1]=f[c][0][S+1]+ans;
g[x].w[2]=f[c][1][S]+ans;
g[x].w[3]=f[c][0][S-1]+ans;
// cout<<x<<":"<<g[x].w[0]<<","<<g[x].w[1]<<","<<g[x].w[2]<<","<<g[x].w[3]<<"?\n";
}
int main()
{
scanf("%d",&n);
for(int i=1,a,b,c;i<n;++i)
scanf("%d%d%d",&a,&b,&c),
adde(a,b,c);
dp(1);
printf("%lld\n",max(g[1].w[0],0LL));
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 | #include <iostream> #include <stdio.h> #include <math.h> #include <string.h> #include <time.h> #include <stdlib.h> #include <string> #include <bitset> #include <vector> #include <set> #include <map> #include <queue> #include <algorithm> #include <sstream> #include <stack> #include <iomanip> #include <assert.h> using namespace std; #define pb push_back #define mp make_pair typedef pair<int,int> pii; typedef long long ll; typedef double ld; typedef vector<int> vi; #define fi first #define se second #define fe first #define FO(x) {freopen(#x".in","r",stdin);freopen(#x".out","w",stdout);} #define Edg int M=0,fst[SZ],vb[SZ],nxt[SZ];void ad_de(int a,int b){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;}void adde(int a,int b){ad_de(a,b);ad_de(b,a);} #define Edgc int M=0,fst[SZ],vb[SZ],nxt[SZ],vc[SZ];void ad_de(int a,int b,int c){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;vc[M]=c;}void adde(int a,int b,int c){ad_de(a,b,c);ad_de(b,a,c);} #define es(x,e) (int e=fst[x];e;e=nxt[e]) #define esb(x,e,b) (int e=fst[x],b=vb[e];e;e=nxt[e],b=vb[e]) #define SZ 666666 Edgc int n; struct F { ll w[4]; }g[200055]; struct G { ll w[3]; }t[SZ]; int vn; #define S 1500 ll f[2][2][S+S+2]; inline void chkmax(ll&a,ll b) { if(a<b)a=b; } void dp(int x,int fa=0) { for esb(x,e,b) if(b!=fa) dp(b,x); vn=0; ll ans=0; for esb(x,e,b) if(b!=fa) { ll v=vc[e]; ll f1=g[b].w[0]+v; ll f2=g[b].w[1]+v; ll f3=g[b].w[2]+v; ll f4=max(g[b].w[3]+v,max(g[b].w[0],0LL)); f1-=f4; f2-=f4; f3-=f4; ans+=f4; t[++vn].w[0]=f1; t[vn].w[1]=f3; t[vn].w[2]=f2; } random_shuffle(t+1,t+1+vn); int c=0; memset(f[c],-127/3,sizeof f[c]); f[c][0][S]=0; const ll bad=-3.5e18; for(int i=1;i<=vn;++i) { c^=1; memcpy(f[c],f[c^1],sizeof f[c]); ll F; for(int j=0;j<2;++j) for(int k=1;k<S+S;++k) if((F=f[c^1][j][k])>=bad) { chkmax(f[c][j][k+1],F+t[i].w[0]); chkmax(f[c][j][k-1],F+t[i].w[1]); chkmax(f[c][j^1][k],F+t[i].w[2]); } } g[x].w[0]=f[c][0][S]+ans; g[x].w[1]=f[c][0][S+1]+ans; g[x].w[2]=f[c][1][S]+ans; g[x].w[3]=f[c][0][S-1]+ans; // cout<<x<<":"<<g[x].w[0]<<","<<g[x].w[1]<<","<<g[x].w[2]<<","<<g[x].w[3]<<"?\n"; } int main() { scanf("%d",&n); for(int i=1,a,b,c;i<n;++i) scanf("%d%d%d",&a,&b,&c), adde(a,b,c); dp(1); printf("%lld\n",max(g[1].w[0],0LL)); } |
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