#include <bits/stdc++.h>
#define f first
#define s second
#define m_p make_pair
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define vec vector
#define pb push_back
#define sz(x) (int)(x).size()
#define pw(x) (1LL<<(x))
#define fast_resp ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
typedef long double ld;
typedef pair<int,ll> pil;
template<class T> bool umin(T &a,const T &b){return (a>b?a=b,1:0);}
template<class T> bool umax(T &a,const T &b){return (a<b?a=b,1:0);}
const int N=2e5+1;
const ll inf=1e18;
vec<int> g[N];
int c[N],a[N],h[N];
int tt=1;
struct segtree{
ll t[40*N],p[40*N];
int l[40*N],r[40*N];
ll d1,d2;
segtree(){
t[0]=0;
fill(t,t+40*N,0);
fill(l,l+40*N,0);
fill(r,r+40*N,0);
fill(p,p+40*N,0);
}
void push(int v,int tl,int tr){
if(!p[v])
return;
if(!l[v]) l[v]=tt++;
if(!r[v]) r[v]=tt++;
assert(tt<40*N);
for(auto &u : {l[v],r[v]})
p[u]+=p[v],t[u]+=p[v];
p[v]=0;
return;
}
void upd(int i,ll x,int &v,int tl=0,int tr=N-1){
if(!v)
v=tt++;
assert(tt<40*N);
if(tl==tr){
t[v]=x;
return;
}
int tm=(tl+tr)>>1;push(v,tl,tr);
if(tm>=i)
upd(i,x,l[v],tl,tm);
else
upd(i,x,r[v],tm+1,tr);
t[v]=min(t[l[v]],t[r[v]]);
}
ll get(int l1,int r1,int v,int tl=0,int tr=N-1){
if(!v || tl>r1 || tr<l1)
return 0;
if(tl>=l1&&tr<=r1)
return t[v];
int tm=(tl+tr)>>1;push(v,tl,tr);
return min(get(l1,r1,l[v],tl,tm),get(l1,r1,r[v],tm+1,tr));
}
int mg(int v,int u,int tl,int tr){
if(!v && !u)
return 0;
if(tl==tr){
umin(d1,t[v]);umin(d2,t[u]);
if(!v){
t[u]=d1+d2;
return u;
}
t[v]=d1+d2;
return v;
}
if(!v){
umin(d2,t[u]);
p[u]+=d1;
t[u]+=d1;
return u;
}
if(!u){
umin(d1,t[v]);
p[v]+=d2;
t[v]+=d2;
return v;
}
int tm=(tl+tr)>>1;
if(l[u] || r[u]) push(u,tl,tr);
if(l[v] || r[v]) push(v,tl,tr);
p[v]=p[u]=0;
r[v]=mg(r[v],r[u],tm+1,tr);
l[v]=mg(l[v],l[u],tl,tm);
t[v]=d1+d2;
return v;
}
int Merge(int v,int u){
d1=d2=0;
return mg(v,u,0,N-1);
}
}sega;
ll toadd=0;
//map<int,ll> mp;
int root[N];
void dfs(int v){
// cout<<"DFS "<<v<<endl;
for(auto &z : g[v]){
dfs(z);
root[v]=sega.Merge(root[v],root[z]);
// cerr<<"EBAL "<<root[v]<<endl;
}
// cout<<"W "<<root[v]<<endl;
// cout<<sega.get(roo)
// cout<<"HEY "<<sega.get(root[v],h[v],N-1)<<endl;
sega.upd(h[v],sega.get(h[v],N-1,root[v])-c[v],root[v]);
}
signed main(){
fast_resp;
int n;
cin>>n;
vec<int>kek;
ll sm=0;
for(int i=0;i<n;i++){
cin>>a[i]>>h[i]>>c[i];--a[i];
if(a[i]!=i) g[a[i]].pb(i);
kek.pb(h[i]);sm+=c[i];
}
sort(all(kek));kek.erase(unique(all(kek)),kek.end());
for(int i=0;i<n;i++) h[i]=lower_bound(all(kek),h[i])-kek.begin();
dfs(0);
cout<<sm+sega.get(0,N-1,root[0]);
return 0;
}
/*
3
1 3 6
1 2 5
1 5 6
6
1 6 5
1 3 6
1 8 4
3 4 9
2 2 5
2 5 6
2
1 89 964898447
2 40 952129455
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
106 ms |
192808 KB |
Output is correct |
2 |
Correct |
100 ms |
192832 KB |
Output is correct |
3 |
Correct |
80 ms |
192768 KB |
Output is correct |
4 |
Correct |
81 ms |
192888 KB |
Output is correct |
5 |
Correct |
94 ms |
193200 KB |
Output is correct |
6 |
Correct |
104 ms |
193216 KB |
Output is correct |
7 |
Correct |
90 ms |
193100 KB |
Output is correct |
8 |
Correct |
97 ms |
193148 KB |
Output is correct |
9 |
Correct |
91 ms |
193168 KB |
Output is correct |
10 |
Correct |
88 ms |
193180 KB |
Output is correct |
11 |
Correct |
83 ms |
193152 KB |
Output is correct |
12 |
Correct |
84 ms |
193584 KB |
Output is correct |
13 |
Correct |
92 ms |
193656 KB |
Output is correct |
14 |
Correct |
91 ms |
193460 KB |
Output is correct |
15 |
Correct |
105 ms |
193436 KB |
Output is correct |
16 |
Correct |
100 ms |
193088 KB |
Output is correct |
17 |
Correct |
101 ms |
193152 KB |
Output is correct |
18 |
Correct |
91 ms |
193152 KB |
Output is correct |
19 |
Correct |
93 ms |
193328 KB |
Output is correct |
20 |
Correct |
86 ms |
193336 KB |
Output is correct |
21 |
Correct |
90 ms |
193356 KB |
Output is correct |
22 |
Correct |
82 ms |
193068 KB |
Output is correct |
23 |
Correct |
86 ms |
193068 KB |
Output is correct |
24 |
Correct |
90 ms |
193376 KB |
Output is correct |
25 |
Correct |
77 ms |
193408 KB |
Output is correct |
26 |
Correct |
78 ms |
193608 KB |
Output is correct |
27 |
Correct |
83 ms |
193312 KB |
Output is correct |
28 |
Correct |
84 ms |
193416 KB |
Output is correct |
29 |
Correct |
81 ms |
193540 KB |
Output is correct |
30 |
Correct |
79 ms |
193456 KB |
Output is correct |
31 |
Correct |
82 ms |
193332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
106 ms |
192808 KB |
Output is correct |
2 |
Correct |
100 ms |
192832 KB |
Output is correct |
3 |
Correct |
80 ms |
192768 KB |
Output is correct |
4 |
Correct |
81 ms |
192888 KB |
Output is correct |
5 |
Correct |
94 ms |
193200 KB |
Output is correct |
6 |
Correct |
104 ms |
193216 KB |
Output is correct |
7 |
Correct |
90 ms |
193100 KB |
Output is correct |
8 |
Correct |
97 ms |
193148 KB |
Output is correct |
9 |
Correct |
91 ms |
193168 KB |
Output is correct |
10 |
Correct |
88 ms |
193180 KB |
Output is correct |
11 |
Correct |
83 ms |
193152 KB |
Output is correct |
12 |
Correct |
84 ms |
193584 KB |
Output is correct |
13 |
Correct |
92 ms |
193656 KB |
Output is correct |
14 |
Correct |
91 ms |
193460 KB |
Output is correct |
15 |
Correct |
105 ms |
193436 KB |
Output is correct |
16 |
Correct |
100 ms |
193088 KB |
Output is correct |
17 |
Correct |
101 ms |
193152 KB |
Output is correct |
18 |
Correct |
91 ms |
193152 KB |
Output is correct |
19 |
Correct |
93 ms |
193328 KB |
Output is correct |
20 |
Correct |
86 ms |
193336 KB |
Output is correct |
21 |
Correct |
90 ms |
193356 KB |
Output is correct |
22 |
Correct |
82 ms |
193068 KB |
Output is correct |
23 |
Correct |
86 ms |
193068 KB |
Output is correct |
24 |
Correct |
90 ms |
193376 KB |
Output is correct |
25 |
Correct |
77 ms |
193408 KB |
Output is correct |
26 |
Correct |
78 ms |
193608 KB |
Output is correct |
27 |
Correct |
83 ms |
193312 KB |
Output is correct |
28 |
Correct |
84 ms |
193416 KB |
Output is correct |
29 |
Correct |
81 ms |
193540 KB |
Output is correct |
30 |
Correct |
79 ms |
193456 KB |
Output is correct |
31 |
Correct |
82 ms |
193332 KB |
Output is correct |
32 |
Correct |
84 ms |
193200 KB |
Output is correct |
33 |
Correct |
578 ms |
200832 KB |
Output is correct |
34 |
Correct |
370 ms |
204992 KB |
Output is correct |
35 |
Correct |
585 ms |
205052 KB |
Output is correct |
36 |
Correct |
389 ms |
205128 KB |
Output is correct |
37 |
Correct |
265 ms |
205036 KB |
Output is correct |
38 |
Correct |
280 ms |
204784 KB |
Output is correct |
39 |
Correct |
306 ms |
223936 KB |
Output is correct |
40 |
Correct |
254 ms |
223768 KB |
Output is correct |
41 |
Correct |
217 ms |
223972 KB |
Output is correct |
42 |
Correct |
308 ms |
216000 KB |
Output is correct |
43 |
Correct |
257 ms |
215972 KB |
Output is correct |
44 |
Correct |
521 ms |
204836 KB |
Output is correct |
45 |
Correct |
324 ms |
204956 KB |
Output is correct |
46 |
Correct |
214 ms |
204872 KB |
Output is correct |
47 |
Correct |
368 ms |
212776 KB |
Output is correct |
48 |
Correct |
271 ms |
212716 KB |
Output is correct |
49 |
Correct |
221 ms |
212720 KB |
Output is correct |
50 |
Correct |
409 ms |
202156 KB |
Output is correct |
51 |
Correct |
250 ms |
201940 KB |
Output is correct |
52 |
Correct |
386 ms |
213704 KB |
Output is correct |
53 |
Correct |
268 ms |
213756 KB |
Output is correct |
54 |
Correct |
234 ms |
224104 KB |
Output is correct |
55 |
Correct |
346 ms |
212288 KB |
Output is correct |
56 |
Correct |
295 ms |
217348 KB |
Output is correct |
57 |
Correct |
282 ms |
219516 KB |
Output is correct |
58 |
Correct |
268 ms |
215248 KB |
Output is correct |
59 |
Correct |
279 ms |
215320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
106 ms |
192808 KB |
Output is correct |
2 |
Correct |
100 ms |
192832 KB |
Output is correct |
3 |
Correct |
80 ms |
192768 KB |
Output is correct |
4 |
Correct |
81 ms |
192888 KB |
Output is correct |
5 |
Correct |
94 ms |
193200 KB |
Output is correct |
6 |
Correct |
104 ms |
193216 KB |
Output is correct |
7 |
Correct |
90 ms |
193100 KB |
Output is correct |
8 |
Correct |
97 ms |
193148 KB |
Output is correct |
9 |
Correct |
91 ms |
193168 KB |
Output is correct |
10 |
Correct |
88 ms |
193180 KB |
Output is correct |
11 |
Correct |
83 ms |
193152 KB |
Output is correct |
12 |
Correct |
84 ms |
193584 KB |
Output is correct |
13 |
Correct |
92 ms |
193656 KB |
Output is correct |
14 |
Correct |
91 ms |
193460 KB |
Output is correct |
15 |
Correct |
105 ms |
193436 KB |
Output is correct |
16 |
Correct |
100 ms |
193088 KB |
Output is correct |
17 |
Correct |
101 ms |
193152 KB |
Output is correct |
18 |
Correct |
91 ms |
193152 KB |
Output is correct |
19 |
Correct |
93 ms |
193328 KB |
Output is correct |
20 |
Correct |
86 ms |
193336 KB |
Output is correct |
21 |
Correct |
90 ms |
193356 KB |
Output is correct |
22 |
Correct |
82 ms |
193068 KB |
Output is correct |
23 |
Correct |
86 ms |
193068 KB |
Output is correct |
24 |
Correct |
90 ms |
193376 KB |
Output is correct |
25 |
Correct |
77 ms |
193408 KB |
Output is correct |
26 |
Correct |
78 ms |
193608 KB |
Output is correct |
27 |
Correct |
83 ms |
193312 KB |
Output is correct |
28 |
Correct |
84 ms |
193416 KB |
Output is correct |
29 |
Correct |
81 ms |
193540 KB |
Output is correct |
30 |
Correct |
79 ms |
193456 KB |
Output is correct |
31 |
Correct |
82 ms |
193332 KB |
Output is correct |
32 |
Correct |
84 ms |
193200 KB |
Output is correct |
33 |
Correct |
578 ms |
200832 KB |
Output is correct |
34 |
Correct |
370 ms |
204992 KB |
Output is correct |
35 |
Correct |
585 ms |
205052 KB |
Output is correct |
36 |
Correct |
389 ms |
205128 KB |
Output is correct |
37 |
Correct |
265 ms |
205036 KB |
Output is correct |
38 |
Correct |
280 ms |
204784 KB |
Output is correct |
39 |
Correct |
306 ms |
223936 KB |
Output is correct |
40 |
Correct |
254 ms |
223768 KB |
Output is correct |
41 |
Correct |
217 ms |
223972 KB |
Output is correct |
42 |
Correct |
308 ms |
216000 KB |
Output is correct |
43 |
Correct |
257 ms |
215972 KB |
Output is correct |
44 |
Correct |
521 ms |
204836 KB |
Output is correct |
45 |
Correct |
324 ms |
204956 KB |
Output is correct |
46 |
Correct |
214 ms |
204872 KB |
Output is correct |
47 |
Correct |
368 ms |
212776 KB |
Output is correct |
48 |
Correct |
271 ms |
212716 KB |
Output is correct |
49 |
Correct |
221 ms |
212720 KB |
Output is correct |
50 |
Correct |
409 ms |
202156 KB |
Output is correct |
51 |
Correct |
250 ms |
201940 KB |
Output is correct |
52 |
Correct |
386 ms |
213704 KB |
Output is correct |
53 |
Correct |
268 ms |
213756 KB |
Output is correct |
54 |
Correct |
234 ms |
224104 KB |
Output is correct |
55 |
Correct |
346 ms |
212288 KB |
Output is correct |
56 |
Correct |
295 ms |
217348 KB |
Output is correct |
57 |
Correct |
282 ms |
219516 KB |
Output is correct |
58 |
Correct |
268 ms |
215248 KB |
Output is correct |
59 |
Correct |
279 ms |
215320 KB |
Output is correct |
60 |
Runtime error |
266 ms |
524288 KB |
Execution killed with signal 9 |
61 |
Halted |
0 ms |
0 KB |
- |