#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N=2e5+10;
map<int, int> mp[N];
int n, a[N], h[N], c[N], sz[N];
vector<int> g[N];
int vis[N];
void dfs_sz(int u){
vis[u]=1;
sz[u]=1;
for (int &v:g[u]){
dfs_sz(v);
sz[u]+=sz[v];
if (sz[v]>sz[g[u][0]]) swap(v, g[u][0]);
}
}
void dfs_merge(int u){
if (g[u].empty()){
mp[u][1]=c[u];
mp[u][h[u]+1]=-c[u];
return;
}
for (int &v:g[u]){
dfs_merge(v);
if (v==g[u][0]) mp[u].swap(mp[v]);
else{
for (auto &i:mp[v]){
mp[u][i.first]+=i.second;
}
}
}
mp[u][h[u]+1]-=c[u];
auto it=mp[u].find(h[u]+1);
int cur=c[u];
while (it!=mp[u].begin()){
--it;
if (it->second<0 && cur>=-it->second){
cur-=-it->second;
it=mp[u].erase(it);
}else{
it->second+=cur;
cur=0;
break;
}
}
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
vector<int> vals{-1};
for (int i=1; i<=n; ++i){
cin >> a[i] >> h[i] >> c[i];
vals.push_back(h[i]);
if (a[i]!=i) g[a[i]].push_back(i);
}
sort(vals.begin(), vals.end());
vals.resize(unique(vals.begin(), vals.end())-vals.begin());
for (int i=1; i<=n; ++i) h[i]=lower_bound(vals.begin(), vals.end(), h[i])-vals.begin();
int ans=0;
for (int i=1; i<=n; ++i) if (!vis[i]){
int u=i;
vector<int> tmp;
while (!vis[u]){
tmp.push_back(u);
vis[u]=1;
u=a[u];
}
vector<int> cycle(find(tmp.begin(), tmp.end(), u), tmp.end());
for (int j:cycle) vis[j]=2;
vector<int> child;
for (int j:cycle) for (int k:g[j]) if (vis[k]!=2) child.push_back(k);
for (int &v:child){
dfs_sz(v);
if (sz[v]>sz[child[0]]) swap(v, child[0]);
}
map<int, int> mpp;
for (int &v:child){
dfs_merge(v);
if (v==child[0]){
mpp.swap(mp[v]);
}else{
for (auto &j:mp[v]) mpp[j.first]+=j.second;
}
}
int cur=mpp.empty()?0:mpp.begin()->second;
map<int, int> cc;
for (int v:cycle) cc[h[v]]+=c[v];
vector<pair<int, int>> vv;
vv.emplace_back(0, 0);
for (auto &j:mpp) vv.emplace_back(j.first, vv.back().second+j.second);
for (auto &j:cc){
auto it=lower_bound(vv.begin(), vv.end(), make_pair(j.first+1, (int)-1e18))-1;
cur=max(cur, it->second+j.second);
}
ans+=cur;
}
cout << accumulate(c+1, c+n+1, 0ll)-ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
22108 KB |
Output is correct |
2 |
Correct |
6 ms |
22208 KB |
Output is correct |
3 |
Correct |
5 ms |
22108 KB |
Output is correct |
4 |
Correct |
5 ms |
22108 KB |
Output is correct |
5 |
Correct |
10 ms |
23720 KB |
Output is correct |
6 |
Correct |
8 ms |
22944 KB |
Output is correct |
7 |
Correct |
9 ms |
22876 KB |
Output is correct |
8 |
Correct |
11 ms |
23644 KB |
Output is correct |
9 |
Correct |
8 ms |
23132 KB |
Output is correct |
10 |
Correct |
8 ms |
23132 KB |
Output is correct |
11 |
Correct |
7 ms |
22820 KB |
Output is correct |
12 |
Correct |
8 ms |
23132 KB |
Output is correct |
13 |
Correct |
7 ms |
23132 KB |
Output is correct |
14 |
Correct |
8 ms |
22888 KB |
Output is correct |
15 |
Correct |
8 ms |
22876 KB |
Output is correct |
16 |
Correct |
11 ms |
24156 KB |
Output is correct |
17 |
Correct |
9 ms |
23232 KB |
Output is correct |
18 |
Correct |
6 ms |
22616 KB |
Output is correct |
19 |
Correct |
8 ms |
23384 KB |
Output is correct |
20 |
Correct |
9 ms |
22876 KB |
Output is correct |
21 |
Correct |
9 ms |
23148 KB |
Output is correct |
22 |
Correct |
8 ms |
23388 KB |
Output is correct |
23 |
Correct |
10 ms |
22876 KB |
Output is correct |
24 |
Correct |
9 ms |
23444 KB |
Output is correct |
25 |
Correct |
11 ms |
23220 KB |
Output is correct |
26 |
Correct |
8 ms |
23132 KB |
Output is correct |
27 |
Correct |
11 ms |
23388 KB |
Output is correct |
28 |
Correct |
8 ms |
23388 KB |
Output is correct |
29 |
Correct |
8 ms |
23388 KB |
Output is correct |
30 |
Correct |
9 ms |
23388 KB |
Output is correct |
31 |
Correct |
10 ms |
23388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
22108 KB |
Output is correct |
2 |
Correct |
6 ms |
22208 KB |
Output is correct |
3 |
Correct |
5 ms |
22108 KB |
Output is correct |
4 |
Correct |
5 ms |
22108 KB |
Output is correct |
5 |
Correct |
10 ms |
23720 KB |
Output is correct |
6 |
Correct |
8 ms |
22944 KB |
Output is correct |
7 |
Correct |
9 ms |
22876 KB |
Output is correct |
8 |
Correct |
11 ms |
23644 KB |
Output is correct |
9 |
Correct |
8 ms |
23132 KB |
Output is correct |
10 |
Correct |
8 ms |
23132 KB |
Output is correct |
11 |
Correct |
7 ms |
22820 KB |
Output is correct |
12 |
Correct |
8 ms |
23132 KB |
Output is correct |
13 |
Correct |
7 ms |
23132 KB |
Output is correct |
14 |
Correct |
8 ms |
22888 KB |
Output is correct |
15 |
Correct |
8 ms |
22876 KB |
Output is correct |
16 |
Correct |
11 ms |
24156 KB |
Output is correct |
17 |
Correct |
9 ms |
23232 KB |
Output is correct |
18 |
Correct |
6 ms |
22616 KB |
Output is correct |
19 |
Correct |
8 ms |
23384 KB |
Output is correct |
20 |
Correct |
9 ms |
22876 KB |
Output is correct |
21 |
Correct |
9 ms |
23148 KB |
Output is correct |
22 |
Correct |
8 ms |
23388 KB |
Output is correct |
23 |
Correct |
10 ms |
22876 KB |
Output is correct |
24 |
Correct |
9 ms |
23444 KB |
Output is correct |
25 |
Correct |
11 ms |
23220 KB |
Output is correct |
26 |
Correct |
8 ms |
23132 KB |
Output is correct |
27 |
Correct |
11 ms |
23388 KB |
Output is correct |
28 |
Correct |
8 ms |
23388 KB |
Output is correct |
29 |
Correct |
8 ms |
23388 KB |
Output is correct |
30 |
Correct |
9 ms |
23388 KB |
Output is correct |
31 |
Correct |
10 ms |
23388 KB |
Output is correct |
32 |
Correct |
11 ms |
23644 KB |
Output is correct |
33 |
Correct |
351 ms |
96120 KB |
Output is correct |
34 |
Correct |
242 ms |
67004 KB |
Output is correct |
35 |
Correct |
339 ms |
94192 KB |
Output is correct |
36 |
Correct |
251 ms |
67004 KB |
Output is correct |
37 |
Correct |
165 ms |
48616 KB |
Output is correct |
38 |
Correct |
136 ms |
43876 KB |
Output is correct |
39 |
Correct |
153 ms |
59584 KB |
Output is correct |
40 |
Correct |
128 ms |
59452 KB |
Output is correct |
41 |
Correct |
89 ms |
59580 KB |
Output is correct |
42 |
Correct |
144 ms |
47296 KB |
Output is correct |
43 |
Correct |
125 ms |
46784 KB |
Output is correct |
44 |
Correct |
327 ms |
123716 KB |
Output is correct |
45 |
Correct |
217 ms |
83296 KB |
Output is correct |
46 |
Correct |
80 ms |
43452 KB |
Output is correct |
47 |
Correct |
210 ms |
66240 KB |
Output is correct |
48 |
Correct |
116 ms |
56100 KB |
Output is correct |
49 |
Correct |
90 ms |
55992 KB |
Output is correct |
50 |
Correct |
262 ms |
73644 KB |
Output is correct |
51 |
Correct |
111 ms |
55792 KB |
Output is correct |
52 |
Correct |
240 ms |
67364 KB |
Output is correct |
53 |
Correct |
119 ms |
57280 KB |
Output is correct |
54 |
Correct |
99 ms |
59580 KB |
Output is correct |
55 |
Correct |
193 ms |
71228 KB |
Output is correct |
56 |
Correct |
167 ms |
71616 KB |
Output is correct |
57 |
Correct |
155 ms |
73052 KB |
Output is correct |
58 |
Correct |
164 ms |
69440 KB |
Output is correct |
59 |
Correct |
168 ms |
68672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
22108 KB |
Output is correct |
2 |
Correct |
6 ms |
22208 KB |
Output is correct |
3 |
Correct |
5 ms |
22108 KB |
Output is correct |
4 |
Correct |
5 ms |
22108 KB |
Output is correct |
5 |
Correct |
10 ms |
23720 KB |
Output is correct |
6 |
Correct |
8 ms |
22944 KB |
Output is correct |
7 |
Correct |
9 ms |
22876 KB |
Output is correct |
8 |
Correct |
11 ms |
23644 KB |
Output is correct |
9 |
Correct |
8 ms |
23132 KB |
Output is correct |
10 |
Correct |
8 ms |
23132 KB |
Output is correct |
11 |
Correct |
7 ms |
22820 KB |
Output is correct |
12 |
Correct |
8 ms |
23132 KB |
Output is correct |
13 |
Correct |
7 ms |
23132 KB |
Output is correct |
14 |
Correct |
8 ms |
22888 KB |
Output is correct |
15 |
Correct |
8 ms |
22876 KB |
Output is correct |
16 |
Correct |
11 ms |
24156 KB |
Output is correct |
17 |
Correct |
9 ms |
23232 KB |
Output is correct |
18 |
Correct |
6 ms |
22616 KB |
Output is correct |
19 |
Correct |
8 ms |
23384 KB |
Output is correct |
20 |
Correct |
9 ms |
22876 KB |
Output is correct |
21 |
Correct |
9 ms |
23148 KB |
Output is correct |
22 |
Correct |
8 ms |
23388 KB |
Output is correct |
23 |
Correct |
10 ms |
22876 KB |
Output is correct |
24 |
Correct |
9 ms |
23444 KB |
Output is correct |
25 |
Correct |
11 ms |
23220 KB |
Output is correct |
26 |
Correct |
8 ms |
23132 KB |
Output is correct |
27 |
Correct |
11 ms |
23388 KB |
Output is correct |
28 |
Correct |
8 ms |
23388 KB |
Output is correct |
29 |
Correct |
8 ms |
23388 KB |
Output is correct |
30 |
Correct |
9 ms |
23388 KB |
Output is correct |
31 |
Correct |
10 ms |
23388 KB |
Output is correct |
32 |
Correct |
11 ms |
23644 KB |
Output is correct |
33 |
Correct |
351 ms |
96120 KB |
Output is correct |
34 |
Correct |
242 ms |
67004 KB |
Output is correct |
35 |
Correct |
339 ms |
94192 KB |
Output is correct |
36 |
Correct |
251 ms |
67004 KB |
Output is correct |
37 |
Correct |
165 ms |
48616 KB |
Output is correct |
38 |
Correct |
136 ms |
43876 KB |
Output is correct |
39 |
Correct |
153 ms |
59584 KB |
Output is correct |
40 |
Correct |
128 ms |
59452 KB |
Output is correct |
41 |
Correct |
89 ms |
59580 KB |
Output is correct |
42 |
Correct |
144 ms |
47296 KB |
Output is correct |
43 |
Correct |
125 ms |
46784 KB |
Output is correct |
44 |
Correct |
327 ms |
123716 KB |
Output is correct |
45 |
Correct |
217 ms |
83296 KB |
Output is correct |
46 |
Correct |
80 ms |
43452 KB |
Output is correct |
47 |
Correct |
210 ms |
66240 KB |
Output is correct |
48 |
Correct |
116 ms |
56100 KB |
Output is correct |
49 |
Correct |
90 ms |
55992 KB |
Output is correct |
50 |
Correct |
262 ms |
73644 KB |
Output is correct |
51 |
Correct |
111 ms |
55792 KB |
Output is correct |
52 |
Correct |
240 ms |
67364 KB |
Output is correct |
53 |
Correct |
119 ms |
57280 KB |
Output is correct |
54 |
Correct |
99 ms |
59580 KB |
Output is correct |
55 |
Correct |
193 ms |
71228 KB |
Output is correct |
56 |
Correct |
167 ms |
71616 KB |
Output is correct |
57 |
Correct |
155 ms |
73052 KB |
Output is correct |
58 |
Correct |
164 ms |
69440 KB |
Output is correct |
59 |
Correct |
168 ms |
68672 KB |
Output is correct |
60 |
Correct |
4 ms |
22108 KB |
Output is correct |
61 |
Correct |
5 ms |
22104 KB |
Output is correct |
62 |
Correct |
4 ms |
22108 KB |
Output is correct |
63 |
Correct |
7 ms |
22108 KB |
Output is correct |
64 |
Correct |
302 ms |
78460 KB |
Output is correct |
65 |
Correct |
246 ms |
58808 KB |
Output is correct |
66 |
Correct |
288 ms |
72740 KB |
Output is correct |
67 |
Correct |
223 ms |
59008 KB |
Output is correct |
68 |
Correct |
158 ms |
45796 KB |
Output is correct |
69 |
Correct |
144 ms |
42436 KB |
Output is correct |
70 |
Correct |
180 ms |
46016 KB |
Output is correct |
71 |
Correct |
115 ms |
37144 KB |
Output is correct |
72 |
Correct |
188 ms |
50740 KB |
Output is correct |
73 |
Correct |
114 ms |
38364 KB |
Output is correct |
74 |
Correct |
275 ms |
62596 KB |
Output is correct |
75 |
Correct |
151 ms |
47040 KB |
Output is correct |
76 |
Correct |
123 ms |
46856 KB |
Output is correct |
77 |
Correct |
225 ms |
63496 KB |
Output is correct |
78 |
Correct |
125 ms |
47904 KB |
Output is correct |
79 |
Correct |
258 ms |
73152 KB |
Output is correct |
80 |
Correct |
175 ms |
53436 KB |
Output is correct |
81 |
Correct |
127 ms |
43968 KB |
Output is correct |
82 |
Correct |
164 ms |
50996 KB |
Output is correct |
83 |
Correct |
102 ms |
29032 KB |
Output is correct |
84 |
Correct |
260 ms |
62912 KB |
Output is correct |
85 |
Correct |
245 ms |
62744 KB |
Output is correct |
86 |
Correct |
230 ms |
59752 KB |
Output is correct |
87 |
Correct |
256 ms |
62920 KB |
Output is correct |
88 |
Correct |
244 ms |
63036 KB |
Output is correct |