#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int) x.size())
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x, y) cerr << #x << " is " << x << ", " << #y << " is " << y << endl;
typedef long long lint;
typedef pair<lint, lint> ii;
int p[200005];
int vis[200005];
int collapse[200005];
vector<int> adj[200005];
map<int, lint> dp[200005];
lint cost[200005];
lint original[200005];
void dfs(int u){
for(int v : adj[u]){
dfs(v);
if(sz(dp[u]) < sz(dp[v])) swap(dp[u], dp[v]);
map<int, lint> &cur = dp[u];
for(ii x : dp[v]){
if(cur.count(x.first)) cur[x.first] += x.second;
else cur[x.first] = x.second;
}
}
lint O = original[u]; lint C = cost[u];
map<int, lint> &cur = dp[u];
if(cur.count(O)) cur[O] += C ;
else cur[O] = C;
while(true){
auto it = cur.upper_bound(O);
if(it == cur.end()) break;
if(it->second > C){
it->second -= C;
break;
}
else{
C -= it->second;
cur.erase(it);
}
}
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
lint ans = 0;
int n; cin >> n;
for(int i = 1;i <= n;i++){
cin >> p[i] >> original[i] >> cost[i];
ans += cost[i];
}
vector<ii> compress;
for(int s = 1;s <= n;s++){
int u = s;
int cycle = -1;
while(true){
if(vis[u] != 0){
if(vis[u] == s) cycle = u;
break;
}
vis[u] = s;
u = p[u];
}
if(cycle == -1) continue;
vector<ii> nodes = {ii(1e9+1,0)};
u = cycle;
while(true){
//cout << u << " ";
nodes.push_back(ii(original[u], u));
u = p[u];
if(u == cycle) break;
}
//cout << "\n";
sort(all(nodes));
for(int i = 0;i < sz(nodes)-1;i++){
collapse[nodes[i].second] = nodes[0].second;
compress.push_back(ii(nodes[i].second, nodes[i+1].second));
// show2(nodes[i].second, nodes[i+1].second);
}
}
for(int i = 1;i <= n;i++){
if(collapse[p[i]] != 0) p[i] = collapse[p[i]];
}
for(ii c : compress) p[c.first] = c.second;
// for(int i = 1;i <= n;i++) show2(i, p[i]);
for(int i = 1;i <= n;i++) adj[p[i]].push_back(i);
for(int i = 0;i <= n;i++) original[i] *= -1;
dfs(0);
for(ii x : dp[0]) ans -= x.second;
cout << ans;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
14412 KB |
Output is correct |
2 |
Correct |
11 ms |
14388 KB |
Output is correct |
3 |
Correct |
9 ms |
14412 KB |
Output is correct |
4 |
Correct |
9 ms |
14424 KB |
Output is correct |
5 |
Correct |
15 ms |
15528 KB |
Output is correct |
6 |
Correct |
13 ms |
15160 KB |
Output is correct |
7 |
Correct |
12 ms |
14836 KB |
Output is correct |
8 |
Correct |
16 ms |
15660 KB |
Output is correct |
9 |
Correct |
14 ms |
15052 KB |
Output is correct |
10 |
Correct |
13 ms |
14948 KB |
Output is correct |
11 |
Correct |
11 ms |
14684 KB |
Output is correct |
12 |
Correct |
13 ms |
15312 KB |
Output is correct |
13 |
Correct |
11 ms |
15308 KB |
Output is correct |
14 |
Correct |
12 ms |
14924 KB |
Output is correct |
15 |
Correct |
12 ms |
14920 KB |
Output is correct |
16 |
Correct |
16 ms |
15864 KB |
Output is correct |
17 |
Correct |
13 ms |
15308 KB |
Output is correct |
18 |
Correct |
11 ms |
14720 KB |
Output is correct |
19 |
Correct |
13 ms |
15248 KB |
Output is correct |
20 |
Correct |
12 ms |
15052 KB |
Output is correct |
21 |
Correct |
11 ms |
15052 KB |
Output is correct |
22 |
Correct |
13 ms |
15180 KB |
Output is correct |
23 |
Correct |
11 ms |
14796 KB |
Output is correct |
24 |
Correct |
14 ms |
15280 KB |
Output is correct |
25 |
Correct |
12 ms |
15012 KB |
Output is correct |
26 |
Correct |
11 ms |
15308 KB |
Output is correct |
27 |
Correct |
14 ms |
15304 KB |
Output is correct |
28 |
Correct |
13 ms |
15340 KB |
Output is correct |
29 |
Correct |
16 ms |
15444 KB |
Output is correct |
30 |
Correct |
14 ms |
15488 KB |
Output is correct |
31 |
Correct |
14 ms |
15460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
15 ms |
15564 KB |
Output is correct |
2 |
Correct |
436 ms |
76812 KB |
Output is correct |
3 |
Correct |
334 ms |
51896 KB |
Output is correct |
4 |
Correct |
433 ms |
73640 KB |
Output is correct |
5 |
Correct |
335 ms |
51892 KB |
Output is correct |
6 |
Correct |
219 ms |
32912 KB |
Output is correct |
7 |
Correct |
198 ms |
28540 KB |
Output is correct |
8 |
Correct |
174 ms |
50372 KB |
Output is correct |
9 |
Correct |
160 ms |
50508 KB |
Output is correct |
10 |
Correct |
108 ms |
50364 KB |
Output is correct |
11 |
Correct |
171 ms |
38104 KB |
Output is correct |
12 |
Correct |
152 ms |
37828 KB |
Output is correct |
13 |
Correct |
412 ms |
101656 KB |
Output is correct |
14 |
Correct |
302 ms |
66104 KB |
Output is correct |
15 |
Correct |
100 ms |
28380 KB |
Output is correct |
16 |
Correct |
294 ms |
47940 KB |
Output is correct |
17 |
Correct |
139 ms |
41160 KB |
Output is correct |
18 |
Correct |
105 ms |
40908 KB |
Output is correct |
19 |
Correct |
338 ms |
44880 KB |
Output is correct |
20 |
Correct |
117 ms |
32448 KB |
Output is correct |
21 |
Correct |
344 ms |
48572 KB |
Output is correct |
22 |
Correct |
130 ms |
41456 KB |
Output is correct |
23 |
Correct |
117 ms |
50348 KB |
Output is correct |
24 |
Correct |
236 ms |
50472 KB |
Output is correct |
25 |
Correct |
204 ms |
55440 KB |
Output is correct |
26 |
Correct |
194 ms |
58336 KB |
Output is correct |
27 |
Correct |
236 ms |
56640 KB |
Output is correct |
28 |
Correct |
244 ms |
56576 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
14412 KB |
Output is correct |
2 |
Correct |
11 ms |
14388 KB |
Output is correct |
3 |
Correct |
9 ms |
14412 KB |
Output is correct |
4 |
Correct |
9 ms |
14424 KB |
Output is correct |
5 |
Correct |
15 ms |
15528 KB |
Output is correct |
6 |
Correct |
13 ms |
15160 KB |
Output is correct |
7 |
Correct |
12 ms |
14836 KB |
Output is correct |
8 |
Correct |
16 ms |
15660 KB |
Output is correct |
9 |
Correct |
14 ms |
15052 KB |
Output is correct |
10 |
Correct |
13 ms |
14948 KB |
Output is correct |
11 |
Correct |
11 ms |
14684 KB |
Output is correct |
12 |
Correct |
13 ms |
15312 KB |
Output is correct |
13 |
Correct |
11 ms |
15308 KB |
Output is correct |
14 |
Correct |
12 ms |
14924 KB |
Output is correct |
15 |
Correct |
12 ms |
14920 KB |
Output is correct |
16 |
Correct |
16 ms |
15864 KB |
Output is correct |
17 |
Correct |
13 ms |
15308 KB |
Output is correct |
18 |
Correct |
11 ms |
14720 KB |
Output is correct |
19 |
Correct |
13 ms |
15248 KB |
Output is correct |
20 |
Correct |
12 ms |
15052 KB |
Output is correct |
21 |
Correct |
11 ms |
15052 KB |
Output is correct |
22 |
Correct |
13 ms |
15180 KB |
Output is correct |
23 |
Correct |
11 ms |
14796 KB |
Output is correct |
24 |
Correct |
14 ms |
15280 KB |
Output is correct |
25 |
Correct |
12 ms |
15012 KB |
Output is correct |
26 |
Correct |
11 ms |
15308 KB |
Output is correct |
27 |
Correct |
14 ms |
15304 KB |
Output is correct |
28 |
Correct |
13 ms |
15340 KB |
Output is correct |
29 |
Correct |
16 ms |
15444 KB |
Output is correct |
30 |
Correct |
14 ms |
15488 KB |
Output is correct |
31 |
Correct |
14 ms |
15460 KB |
Output is correct |
32 |
Correct |
15 ms |
15564 KB |
Output is correct |
33 |
Correct |
436 ms |
76812 KB |
Output is correct |
34 |
Correct |
334 ms |
51896 KB |
Output is correct |
35 |
Correct |
433 ms |
73640 KB |
Output is correct |
36 |
Correct |
335 ms |
51892 KB |
Output is correct |
37 |
Correct |
219 ms |
32912 KB |
Output is correct |
38 |
Correct |
198 ms |
28540 KB |
Output is correct |
39 |
Correct |
174 ms |
50372 KB |
Output is correct |
40 |
Correct |
160 ms |
50508 KB |
Output is correct |
41 |
Correct |
108 ms |
50364 KB |
Output is correct |
42 |
Correct |
171 ms |
38104 KB |
Output is correct |
43 |
Correct |
152 ms |
37828 KB |
Output is correct |
44 |
Correct |
412 ms |
101656 KB |
Output is correct |
45 |
Correct |
302 ms |
66104 KB |
Output is correct |
46 |
Correct |
100 ms |
28380 KB |
Output is correct |
47 |
Correct |
294 ms |
47940 KB |
Output is correct |
48 |
Correct |
139 ms |
41160 KB |
Output is correct |
49 |
Correct |
105 ms |
40908 KB |
Output is correct |
50 |
Correct |
338 ms |
44880 KB |
Output is correct |
51 |
Correct |
117 ms |
32448 KB |
Output is correct |
52 |
Correct |
344 ms |
48572 KB |
Output is correct |
53 |
Correct |
130 ms |
41456 KB |
Output is correct |
54 |
Correct |
117 ms |
50348 KB |
Output is correct |
55 |
Correct |
236 ms |
50472 KB |
Output is correct |
56 |
Correct |
204 ms |
55440 KB |
Output is correct |
57 |
Correct |
194 ms |
58336 KB |
Output is correct |
58 |
Correct |
236 ms |
56640 KB |
Output is correct |
59 |
Correct |
244 ms |
56576 KB |
Output is correct |
60 |
Correct |
9 ms |
14412 KB |
Output is correct |
61 |
Correct |
9 ms |
14412 KB |
Output is correct |
62 |
Correct |
10 ms |
14412 KB |
Output is correct |
63 |
Correct |
9 ms |
14356 KB |
Output is correct |
64 |
Correct |
409 ms |
62372 KB |
Output is correct |
65 |
Correct |
332 ms |
50600 KB |
Output is correct |
66 |
Correct |
421 ms |
69680 KB |
Output is correct |
67 |
Correct |
336 ms |
50312 KB |
Output is correct |
68 |
Correct |
223 ms |
37048 KB |
Output is correct |
69 |
Correct |
204 ms |
33628 KB |
Output is correct |
70 |
Correct |
260 ms |
51584 KB |
Output is correct |
71 |
Correct |
243 ms |
47176 KB |
Output is correct |
72 |
Correct |
277 ms |
59404 KB |
Output is correct |
73 |
Correct |
243 ms |
59360 KB |
Output is correct |
74 |
Correct |
337 ms |
56460 KB |
Output is correct |
75 |
Correct |
193 ms |
48920 KB |
Output is correct |
76 |
Correct |
154 ms |
48896 KB |
Output is correct |
77 |
Correct |
319 ms |
56596 KB |
Output is correct |
78 |
Correct |
186 ms |
48892 KB |
Output is correct |
79 |
Correct |
391 ms |
71920 KB |
Output is correct |
80 |
Correct |
292 ms |
59924 KB |
Output is correct |
81 |
Correct |
212 ms |
49304 KB |
Output is correct |
82 |
Correct |
263 ms |
59584 KB |
Output is correct |
83 |
Correct |
386 ms |
53948 KB |
Output is correct |
84 |
Correct |
339 ms |
58932 KB |
Output is correct |
85 |
Correct |
336 ms |
58916 KB |
Output is correct |
86 |
Correct |
345 ms |
58776 KB |
Output is correct |
87 |
Correct |
319 ms |
58936 KB |
Output is correct |
88 |
Correct |
315 ms |
58904 KB |
Output is correct |