#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ii pair<ll,ll>
#define fi first
#define se second
#define endl '\n'
#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define rep(x,s,e) for (auto x=s-(s>e);x!=e-(s>e);(s<e?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n;
int arr[200005];
int h[200005];
int c[200005];
vector<int> al[200005];
map<int,ll> s[200005];
void dfs(int i,int p){
for (auto &it:al[i]){
if (it==p) continue;
dfs(it,i);
if (sz(s[i])<sz(s[it])) swap(s[i],s[it]);
for (auto &it2:s[it]) s[i][it2.fi]+=it2.se;
}
s[i][0]+=c[i];
s[i][h[i]+1]+=c[i];
s[i][h[i]]-=c[i];
auto iter=s[i].find(h[i]);
while ((*iter).se<0){
ll temp=min((*prev(iter)).se,-(*iter).se);
(*iter).se+=temp;
if ((*prev(iter)).se==temp) s[i].erase(prev(iter));
else (*prev(iter)).se-=temp;
}
//cout<<i<<": "<<endl;
//for (auto &it:s[i]) cout<<it.fi<<" "<<it.se<<endl;
//cout<<endl;
}
bool vis[200005];
bool onstk[200005];
ll ans=0;
void dfs_cyc(int i){
vis[i]=true;
onstk[i]=true;
if (!vis[arr[i]]) dfs_cyc(arr[i]);
else if (onstk[arr[i]]){
vector<int> v;
int curr=i;
do{
v.pub(curr);
curr=arr[curr];
} while (curr!=i);
//for (auto &it:v) cout<<it<<" "; cout<<endl;
map<int,ll> m;
rep(x,0,sz(v)){
for (auto &it:al[v[(x+1)%sz(v)]]){
if (it==v[x]) continue;
dfs(it,v[(x+1)%sz(v)]);
for (auto &it2:s[it]) m[it2.fi]+=it2.se;
}
}
ll tot=0;
for (auto &it:v) tot+=c[it];
sort(all(v),[](int i,int j){
return h[i]>h[j];
});
ll best=tot+m[0];
while (!v.empty()){
int hh=h[v.back()];
ll save=0;
while (!v.empty() && h[v.back()]==hh){
save+=c[v.back()];
v.pob();
}
while (!m.empty() && (*m.begin()).fi<=hh){
tot+=(*m.begin()).se;
m.erase(m.begin());
}
best=min(best,tot-save);
}
ans+=best;
}
onstk[i]=false;
}
int main(){
cin.tie(0);
cout.tie(0);
cin.sync_with_stdio(false);
cin>>n;
rep(x,1,n+1) cin>>arr[x]>>h[x]>>c[x];
rep(x,1,n+1) al[arr[x]].pub(x);
rep(x,1,n+1) if (!vis[x]) dfs_cyc(x);
cout<<ans<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
8 ms |
14412 KB |
Output is correct |
3 |
Correct |
9 ms |
14360 KB |
Output is correct |
4 |
Correct |
8 ms |
14416 KB |
Output is correct |
5 |
Correct |
19 ms |
17112 KB |
Output is correct |
6 |
Correct |
15 ms |
15820 KB |
Output is correct |
7 |
Correct |
13 ms |
15368 KB |
Output is correct |
8 |
Correct |
18 ms |
17028 KB |
Output is correct |
9 |
Correct |
15 ms |
15684 KB |
Output is correct |
10 |
Correct |
13 ms |
15344 KB |
Output is correct |
11 |
Correct |
14 ms |
14928 KB |
Output is correct |
12 |
Correct |
12 ms |
15388 KB |
Output is correct |
13 |
Correct |
11 ms |
15304 KB |
Output is correct |
14 |
Correct |
13 ms |
15152 KB |
Output is correct |
15 |
Correct |
13 ms |
15052 KB |
Output is correct |
16 |
Correct |
23 ms |
17604 KB |
Output is correct |
17 |
Correct |
19 ms |
16204 KB |
Output is correct |
18 |
Correct |
11 ms |
14944 KB |
Output is correct |
19 |
Correct |
15 ms |
15956 KB |
Output is correct |
20 |
Correct |
13 ms |
15316 KB |
Output is correct |
21 |
Correct |
12 ms |
15312 KB |
Output is correct |
22 |
Correct |
14 ms |
15864 KB |
Output is correct |
23 |
Correct |
12 ms |
15168 KB |
Output is correct |
24 |
Correct |
15 ms |
15948 KB |
Output is correct |
25 |
Correct |
12 ms |
15308 KB |
Output is correct |
26 |
Correct |
14 ms |
15948 KB |
Output is correct |
27 |
Correct |
16 ms |
16152 KB |
Output is correct |
28 |
Correct |
17 ms |
16104 KB |
Output is correct |
29 |
Correct |
15 ms |
16332 KB |
Output is correct |
30 |
Correct |
16 ms |
16204 KB |
Output is correct |
31 |
Correct |
19 ms |
16204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
8 ms |
14412 KB |
Output is correct |
3 |
Correct |
9 ms |
14360 KB |
Output is correct |
4 |
Correct |
8 ms |
14416 KB |
Output is correct |
5 |
Correct |
19 ms |
17112 KB |
Output is correct |
6 |
Correct |
15 ms |
15820 KB |
Output is correct |
7 |
Correct |
13 ms |
15368 KB |
Output is correct |
8 |
Correct |
18 ms |
17028 KB |
Output is correct |
9 |
Correct |
15 ms |
15684 KB |
Output is correct |
10 |
Correct |
13 ms |
15344 KB |
Output is correct |
11 |
Correct |
14 ms |
14928 KB |
Output is correct |
12 |
Correct |
12 ms |
15388 KB |
Output is correct |
13 |
Correct |
11 ms |
15304 KB |
Output is correct |
14 |
Correct |
13 ms |
15152 KB |
Output is correct |
15 |
Correct |
13 ms |
15052 KB |
Output is correct |
16 |
Correct |
23 ms |
17604 KB |
Output is correct |
17 |
Correct |
19 ms |
16204 KB |
Output is correct |
18 |
Correct |
11 ms |
14944 KB |
Output is correct |
19 |
Correct |
15 ms |
15956 KB |
Output is correct |
20 |
Correct |
13 ms |
15316 KB |
Output is correct |
21 |
Correct |
12 ms |
15312 KB |
Output is correct |
22 |
Correct |
14 ms |
15864 KB |
Output is correct |
23 |
Correct |
12 ms |
15168 KB |
Output is correct |
24 |
Correct |
15 ms |
15948 KB |
Output is correct |
25 |
Correct |
12 ms |
15308 KB |
Output is correct |
26 |
Correct |
14 ms |
15948 KB |
Output is correct |
27 |
Correct |
16 ms |
16152 KB |
Output is correct |
28 |
Correct |
17 ms |
16104 KB |
Output is correct |
29 |
Correct |
15 ms |
16332 KB |
Output is correct |
30 |
Correct |
16 ms |
16204 KB |
Output is correct |
31 |
Correct |
19 ms |
16204 KB |
Output is correct |
32 |
Correct |
23 ms |
17160 KB |
Output is correct |
33 |
Correct |
642 ms |
140192 KB |
Output is correct |
34 |
Correct |
442 ms |
82004 KB |
Output is correct |
35 |
Correct |
612 ms |
136724 KB |
Output is correct |
36 |
Correct |
422 ms |
81996 KB |
Output is correct |
37 |
Correct |
245 ms |
43840 KB |
Output is correct |
38 |
Correct |
243 ms |
33100 KB |
Output is correct |
39 |
Correct |
208 ms |
48964 KB |
Output is correct |
40 |
Correct |
183 ms |
48800 KB |
Output is correct |
41 |
Correct |
118 ms |
48772 KB |
Output is correct |
42 |
Correct |
196 ms |
36684 KB |
Output is correct |
43 |
Correct |
180 ms |
36352 KB |
Output is correct |
44 |
Correct |
739 ms |
194280 KB |
Output is correct |
45 |
Correct |
432 ms |
111172 KB |
Output is correct |
46 |
Correct |
136 ms |
32968 KB |
Output is correct |
47 |
Correct |
463 ms |
73536 KB |
Output is correct |
48 |
Correct |
174 ms |
45808 KB |
Output is correct |
49 |
Correct |
141 ms |
45524 KB |
Output is correct |
50 |
Correct |
384 ms |
68392 KB |
Output is correct |
51 |
Correct |
171 ms |
43312 KB |
Output is correct |
52 |
Correct |
478 ms |
74676 KB |
Output is correct |
53 |
Correct |
172 ms |
46268 KB |
Output is correct |
54 |
Correct |
380 ms |
73764 KB |
Output is correct |
55 |
Correct |
403 ms |
82244 KB |
Output is correct |
56 |
Correct |
379 ms |
86488 KB |
Output is correct |
57 |
Correct |
392 ms |
90460 KB |
Output is correct |
58 |
Correct |
399 ms |
86192 KB |
Output is correct |
59 |
Correct |
434 ms |
86268 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
8 ms |
14412 KB |
Output is correct |
3 |
Correct |
9 ms |
14360 KB |
Output is correct |
4 |
Correct |
8 ms |
14416 KB |
Output is correct |
5 |
Correct |
19 ms |
17112 KB |
Output is correct |
6 |
Correct |
15 ms |
15820 KB |
Output is correct |
7 |
Correct |
13 ms |
15368 KB |
Output is correct |
8 |
Correct |
18 ms |
17028 KB |
Output is correct |
9 |
Correct |
15 ms |
15684 KB |
Output is correct |
10 |
Correct |
13 ms |
15344 KB |
Output is correct |
11 |
Correct |
14 ms |
14928 KB |
Output is correct |
12 |
Correct |
12 ms |
15388 KB |
Output is correct |
13 |
Correct |
11 ms |
15304 KB |
Output is correct |
14 |
Correct |
13 ms |
15152 KB |
Output is correct |
15 |
Correct |
13 ms |
15052 KB |
Output is correct |
16 |
Correct |
23 ms |
17604 KB |
Output is correct |
17 |
Correct |
19 ms |
16204 KB |
Output is correct |
18 |
Correct |
11 ms |
14944 KB |
Output is correct |
19 |
Correct |
15 ms |
15956 KB |
Output is correct |
20 |
Correct |
13 ms |
15316 KB |
Output is correct |
21 |
Correct |
12 ms |
15312 KB |
Output is correct |
22 |
Correct |
14 ms |
15864 KB |
Output is correct |
23 |
Correct |
12 ms |
15168 KB |
Output is correct |
24 |
Correct |
15 ms |
15948 KB |
Output is correct |
25 |
Correct |
12 ms |
15308 KB |
Output is correct |
26 |
Correct |
14 ms |
15948 KB |
Output is correct |
27 |
Correct |
16 ms |
16152 KB |
Output is correct |
28 |
Correct |
17 ms |
16104 KB |
Output is correct |
29 |
Correct |
15 ms |
16332 KB |
Output is correct |
30 |
Correct |
16 ms |
16204 KB |
Output is correct |
31 |
Correct |
19 ms |
16204 KB |
Output is correct |
32 |
Correct |
23 ms |
17160 KB |
Output is correct |
33 |
Correct |
642 ms |
140192 KB |
Output is correct |
34 |
Correct |
442 ms |
82004 KB |
Output is correct |
35 |
Correct |
612 ms |
136724 KB |
Output is correct |
36 |
Correct |
422 ms |
81996 KB |
Output is correct |
37 |
Correct |
245 ms |
43840 KB |
Output is correct |
38 |
Correct |
243 ms |
33100 KB |
Output is correct |
39 |
Correct |
208 ms |
48964 KB |
Output is correct |
40 |
Correct |
183 ms |
48800 KB |
Output is correct |
41 |
Correct |
118 ms |
48772 KB |
Output is correct |
42 |
Correct |
196 ms |
36684 KB |
Output is correct |
43 |
Correct |
180 ms |
36352 KB |
Output is correct |
44 |
Correct |
739 ms |
194280 KB |
Output is correct |
45 |
Correct |
432 ms |
111172 KB |
Output is correct |
46 |
Correct |
136 ms |
32968 KB |
Output is correct |
47 |
Correct |
463 ms |
73536 KB |
Output is correct |
48 |
Correct |
174 ms |
45808 KB |
Output is correct |
49 |
Correct |
141 ms |
45524 KB |
Output is correct |
50 |
Correct |
384 ms |
68392 KB |
Output is correct |
51 |
Correct |
171 ms |
43312 KB |
Output is correct |
52 |
Correct |
478 ms |
74676 KB |
Output is correct |
53 |
Correct |
172 ms |
46268 KB |
Output is correct |
54 |
Correct |
380 ms |
73764 KB |
Output is correct |
55 |
Correct |
403 ms |
82244 KB |
Output is correct |
56 |
Correct |
379 ms |
86488 KB |
Output is correct |
57 |
Correct |
392 ms |
90460 KB |
Output is correct |
58 |
Correct |
399 ms |
86192 KB |
Output is correct |
59 |
Correct |
434 ms |
86268 KB |
Output is correct |
60 |
Correct |
8 ms |
14412 KB |
Output is correct |
61 |
Correct |
8 ms |
14424 KB |
Output is correct |
62 |
Correct |
9 ms |
14424 KB |
Output is correct |
63 |
Correct |
9 ms |
14416 KB |
Output is correct |
64 |
Correct |
614 ms |
114084 KB |
Output is correct |
65 |
Correct |
387 ms |
66588 KB |
Output is correct |
66 |
Correct |
545 ms |
96840 KB |
Output is correct |
67 |
Correct |
420 ms |
66536 KB |
Output is correct |
68 |
Correct |
275 ms |
38948 KB |
Output is correct |
69 |
Correct |
234 ms |
30740 KB |
Output is correct |
70 |
Correct |
183 ms |
57124 KB |
Output is correct |
71 |
Correct |
180 ms |
48392 KB |
Output is correct |
72 |
Correct |
241 ms |
71760 KB |
Output is correct |
73 |
Correct |
194 ms |
71676 KB |
Output is correct |
74 |
Correct |
353 ms |
69360 KB |
Output is correct |
75 |
Correct |
272 ms |
56948 KB |
Output is correct |
76 |
Correct |
211 ms |
56884 KB |
Output is correct |
77 |
Correct |
296 ms |
69860 KB |
Output is correct |
78 |
Correct |
178 ms |
57524 KB |
Output is correct |
79 |
Correct |
447 ms |
106096 KB |
Output is correct |
80 |
Correct |
325 ms |
79344 KB |
Output is correct |
81 |
Correct |
210 ms |
57772 KB |
Output is correct |
82 |
Correct |
237 ms |
71680 KB |
Output is correct |
83 |
Correct |
116 ms |
23628 KB |
Output is correct |
84 |
Correct |
429 ms |
83456 KB |
Output is correct |
85 |
Correct |
442 ms |
83448 KB |
Output is correct |
86 |
Correct |
422 ms |
83584 KB |
Output is correct |
87 |
Correct |
419 ms |
86140 KB |
Output is correct |
88 |
Correct |
451 ms |
91668 KB |
Output is correct |