/**
____ ____ ____ ____ ____ ____
||l |||e |||i |||n |||a |||d ||
||__|||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|/__\|
**/
#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const int maxn = 2e5 + 10;
const ll inf = 1e18;
int n, a[maxn], h[maxn];
ll c[maxn];
unordered_set < int > adj[maxn], g[maxn];
void input()
{
cin >> n;
for (int i = 1; i <= n; i ++)
{
cin >> a[i] >> h[i] >> c[i];
if (a[i] != i)
adj[a[i]].insert(i);
if (a[i] != i)
g[i].insert(a[i]);
}
}
unordered_map < int, int > tag;
set < int > met;
vector < int > cycle;
int used[maxn], par[maxn];
void find_cycle(int v)
{
used[v] = 1;
for (int u : g[v])
{
if (used[u] == 2)
continue;
if (used[u] == 0)
{
par[u] = v;
find_cycle(u);
}
else
{
int cur = v;
while(cur != u)
{
///cout << cur << " : " << u << endl;
cycle.push_back(cur);
met.insert(cur);
cur = par[cur];
}
met.insert(cur);
cycle.push_back(cur);
}
}
used[v] = 2;
}
bool cmp(int v, int u)
{
return h[v] > h[u];
}
void fix_graph()
{
for (int i = 1; i <= n; i ++)
{
if (!used[i])
{
cycle.clear();
met.clear();
par[i] = -1;
find_cycle(i);
if (cycle.empty())
continue;
/**for (int v : cycle)
cout << v << " ";
cout << endl;
cout << "-------------" << endl;*/
vector < int > pivots;
for (int ver : cycle)
{
vector < int > rem;
for (int cur : adj[ver])
{
if (met.find(cur) == met.end())
{
rem.push_back(cur);
///adj[ver].erase(cur);
pivots.push_back(cur);
}
}
for (int cur : rem)
adj[ver].erase(cur);
}
for (int i = 0; i < cycle.size(); i ++)
{
int j = i + 1;
j %= (int)(cycle.size());
///assert(adj[cycle[i]].find(cycle[j]) != adj[cycle[i]].end());
adj[cycle[i]].erase(cycle[j]);
}
//for (int ver : pivots)
//cout << "last " << ver << " " << cycle.back() << endl;
sort(cycle.begin(), cycle.end(), cmp);
for (int last : pivots)
adj[cycle.back()].insert(last);
for (int i = 1; i < cycle.size(); i ++)
{
adj[cycle[i - 1]].insert(cycle[i]);
//cout << "edge " << cycle[i - 1] << " " << cycle[i] << endl;
}
/**cout << "--------" << endl;
for (int cur : cycle)
cout << cur << " " << h[cur] << endl;
cout << endl;*/
}
}
}
void compress()
{
vector < int > values;
for (int i = 1; i <= n; i ++)
values.push_back(h[i]);
sort(values.begin(), values.end());
for (int i = 0; i < n; i ++)
tag[values[i]] = i + 1;
}
ll temp[maxn];
set < pair < int, ll > > spot[maxn];
void add_to_set(int v, pair < int, ll > cur)
{
set < pair < int, ll > > :: iterator it = spot[v].lower_bound({cur.first, -inf});
if (it != spot[v].end() && it -> first == cur.first)
{
cur.second += it -> second;
spot[v].erase(it);
}
spot[v].insert(cur);
}
void dfs(int v)
{
///cout << "dfs " << v << endl;
used[v] = 1;
for (int u : adj[v])
{
///cout << "nb " << v << " " << u << endl;
dfs(u);
if (spot[u].size() > spot[v].size())
swap(spot[v], spot[u]);
for (pair < int, ll > cur : spot[u])
add_to_set(v, cur);
}
set < pair < int, ll > > :: iterator it;
ll sum = 0;
while(spot[v].size() > 0)
{
it = spot[v].lower_bound({tag[h[v]], inf});
///if (it != spot[v].end())
if (it == spot[v].begin())
break;
it = prev(it);
if (sum + it -> second > c[v])
{
pair < int, ll > nw = *it;
nw.second -= (c[v] - sum);
sum = c[v];
spot[v].erase(it);
add_to_set(v, nw);
///spot[v].insert(nw);
break;
}
else
{
sum += it -> second;
spot[v].erase(it);
}
}
add_to_set(v, {1, sum});
add_to_set(v, {tag[h[v]] + 1, c[v]});
}
int deg[maxn];
void calculate_states()
{
for (int i = 1; i <= n; i ++)
for (int u : adj[i])
deg[u] ++;
ll ans = 0;
for (int i = 1; i <= n; i ++)
{
if (deg[i] != 0)
continue;
dfs(i);
ll s = 0;
for (pair < int, ll > cur : spot[i])
{
if (cur.first == 1)
s += cur.second;
}
ans += s;
}
cout << ans << endl;
}
void solve()
{
input();
fix_graph();
memset(used, 0, sizeof(used));
compress();
calculate_states();
}
int main()
{
///speed();
///freopen("test.txt", "r", stdin);
solve();
return 0;
}
/**
4
2 3 5
3 2 4
4 5 7
1 4 3
*/
Compilation message
worst_reporter2.cpp: In function 'void fix_graph()':
worst_reporter2.cpp:116:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
116 | for (int i = 0; i < cycle.size(); i ++)
| ~~^~~~~~~~~~~~~~
worst_reporter2.cpp:129:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
129 | for (int i = 1; i < cycle.size(); i ++)
| ~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
37212 KB |
Output is correct |
2 |
Correct |
9 ms |
37212 KB |
Output is correct |
3 |
Correct |
8 ms |
37212 KB |
Output is correct |
4 |
Correct |
8 ms |
37464 KB |
Output is correct |
5 |
Correct |
19 ms |
40016 KB |
Output is correct |
6 |
Correct |
17 ms |
39260 KB |
Output is correct |
7 |
Correct |
16 ms |
39000 KB |
Output is correct |
8 |
Correct |
18 ms |
39812 KB |
Output is correct |
9 |
Correct |
16 ms |
39512 KB |
Output is correct |
10 |
Correct |
16 ms |
39064 KB |
Output is correct |
11 |
Correct |
14 ms |
38856 KB |
Output is correct |
12 |
Correct |
20 ms |
39288 KB |
Output is correct |
13 |
Correct |
15 ms |
39256 KB |
Output is correct |
14 |
Correct |
18 ms |
39000 KB |
Output is correct |
15 |
Correct |
16 ms |
39004 KB |
Output is correct |
16 |
Correct |
19 ms |
40264 KB |
Output is correct |
17 |
Correct |
16 ms |
39260 KB |
Output is correct |
18 |
Correct |
14 ms |
38748 KB |
Output is correct |
19 |
Correct |
16 ms |
39292 KB |
Output is correct |
20 |
Correct |
16 ms |
39076 KB |
Output is correct |
21 |
Correct |
15 ms |
39004 KB |
Output is correct |
22 |
Correct |
17 ms |
39416 KB |
Output is correct |
23 |
Correct |
17 ms |
39000 KB |
Output is correct |
24 |
Correct |
17 ms |
39260 KB |
Output is correct |
25 |
Correct |
16 ms |
39084 KB |
Output is correct |
26 |
Correct |
15 ms |
39260 KB |
Output is correct |
27 |
Correct |
16 ms |
39516 KB |
Output is correct |
28 |
Correct |
16 ms |
39404 KB |
Output is correct |
29 |
Correct |
18 ms |
39548 KB |
Output is correct |
30 |
Correct |
18 ms |
39688 KB |
Output is correct |
31 |
Correct |
16 ms |
39516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
37212 KB |
Output is correct |
2 |
Correct |
9 ms |
37212 KB |
Output is correct |
3 |
Correct |
8 ms |
37212 KB |
Output is correct |
4 |
Correct |
8 ms |
37464 KB |
Output is correct |
5 |
Correct |
19 ms |
40016 KB |
Output is correct |
6 |
Correct |
17 ms |
39260 KB |
Output is correct |
7 |
Correct |
16 ms |
39000 KB |
Output is correct |
8 |
Correct |
18 ms |
39812 KB |
Output is correct |
9 |
Correct |
16 ms |
39512 KB |
Output is correct |
10 |
Correct |
16 ms |
39064 KB |
Output is correct |
11 |
Correct |
14 ms |
38856 KB |
Output is correct |
12 |
Correct |
20 ms |
39288 KB |
Output is correct |
13 |
Correct |
15 ms |
39256 KB |
Output is correct |
14 |
Correct |
18 ms |
39000 KB |
Output is correct |
15 |
Correct |
16 ms |
39004 KB |
Output is correct |
16 |
Correct |
19 ms |
40264 KB |
Output is correct |
17 |
Correct |
16 ms |
39260 KB |
Output is correct |
18 |
Correct |
14 ms |
38748 KB |
Output is correct |
19 |
Correct |
16 ms |
39292 KB |
Output is correct |
20 |
Correct |
16 ms |
39076 KB |
Output is correct |
21 |
Correct |
15 ms |
39004 KB |
Output is correct |
22 |
Correct |
17 ms |
39416 KB |
Output is correct |
23 |
Correct |
17 ms |
39000 KB |
Output is correct |
24 |
Correct |
17 ms |
39260 KB |
Output is correct |
25 |
Correct |
16 ms |
39084 KB |
Output is correct |
26 |
Correct |
15 ms |
39260 KB |
Output is correct |
27 |
Correct |
16 ms |
39516 KB |
Output is correct |
28 |
Correct |
16 ms |
39404 KB |
Output is correct |
29 |
Correct |
18 ms |
39548 KB |
Output is correct |
30 |
Correct |
18 ms |
39688 KB |
Output is correct |
31 |
Correct |
16 ms |
39516 KB |
Output is correct |
32 |
Correct |
18 ms |
40028 KB |
Output is correct |
33 |
Correct |
704 ms |
163440 KB |
Output is correct |
34 |
Correct |
532 ms |
125932 KB |
Output is correct |
35 |
Correct |
686 ms |
163436 KB |
Output is correct |
36 |
Correct |
517 ms |
125604 KB |
Output is correct |
37 |
Correct |
458 ms |
101800 KB |
Output is correct |
38 |
Correct |
399 ms |
96676 KB |
Output is correct |
39 |
Correct |
501 ms |
119824 KB |
Output is correct |
40 |
Correct |
393 ms |
110844 KB |
Output is correct |
41 |
Correct |
352 ms |
110776 KB |
Output is correct |
42 |
Correct |
455 ms |
112020 KB |
Output is correct |
43 |
Correct |
372 ms |
103076 KB |
Output is correct |
44 |
Correct |
627 ms |
179096 KB |
Output is correct |
45 |
Correct |
455 ms |
134276 KB |
Output is correct |
46 |
Correct |
287 ms |
96696 KB |
Output is correct |
47 |
Correct |
514 ms |
120532 KB |
Output is correct |
48 |
Correct |
400 ms |
104520 KB |
Output is correct |
49 |
Correct |
294 ms |
104372 KB |
Output is correct |
50 |
Correct |
518 ms |
122492 KB |
Output is correct |
51 |
Correct |
317 ms |
100984 KB |
Output is correct |
52 |
Correct |
591 ms |
122396 KB |
Output is correct |
53 |
Correct |
341 ms |
105904 KB |
Output is correct |
54 |
Correct |
364 ms |
120000 KB |
Output is correct |
55 |
Correct |
490 ms |
125196 KB |
Output is correct |
56 |
Correct |
465 ms |
126620 KB |
Output is correct |
57 |
Correct |
447 ms |
128464 KB |
Output is correct |
58 |
Correct |
471 ms |
130508 KB |
Output is correct |
59 |
Correct |
534 ms |
130880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
37212 KB |
Output is correct |
2 |
Correct |
9 ms |
37212 KB |
Output is correct |
3 |
Correct |
8 ms |
37212 KB |
Output is correct |
4 |
Correct |
8 ms |
37464 KB |
Output is correct |
5 |
Correct |
19 ms |
40016 KB |
Output is correct |
6 |
Correct |
17 ms |
39260 KB |
Output is correct |
7 |
Correct |
16 ms |
39000 KB |
Output is correct |
8 |
Correct |
18 ms |
39812 KB |
Output is correct |
9 |
Correct |
16 ms |
39512 KB |
Output is correct |
10 |
Correct |
16 ms |
39064 KB |
Output is correct |
11 |
Correct |
14 ms |
38856 KB |
Output is correct |
12 |
Correct |
20 ms |
39288 KB |
Output is correct |
13 |
Correct |
15 ms |
39256 KB |
Output is correct |
14 |
Correct |
18 ms |
39000 KB |
Output is correct |
15 |
Correct |
16 ms |
39004 KB |
Output is correct |
16 |
Correct |
19 ms |
40264 KB |
Output is correct |
17 |
Correct |
16 ms |
39260 KB |
Output is correct |
18 |
Correct |
14 ms |
38748 KB |
Output is correct |
19 |
Correct |
16 ms |
39292 KB |
Output is correct |
20 |
Correct |
16 ms |
39076 KB |
Output is correct |
21 |
Correct |
15 ms |
39004 KB |
Output is correct |
22 |
Correct |
17 ms |
39416 KB |
Output is correct |
23 |
Correct |
17 ms |
39000 KB |
Output is correct |
24 |
Correct |
17 ms |
39260 KB |
Output is correct |
25 |
Correct |
16 ms |
39084 KB |
Output is correct |
26 |
Correct |
15 ms |
39260 KB |
Output is correct |
27 |
Correct |
16 ms |
39516 KB |
Output is correct |
28 |
Correct |
16 ms |
39404 KB |
Output is correct |
29 |
Correct |
18 ms |
39548 KB |
Output is correct |
30 |
Correct |
18 ms |
39688 KB |
Output is correct |
31 |
Correct |
16 ms |
39516 KB |
Output is correct |
32 |
Correct |
18 ms |
40028 KB |
Output is correct |
33 |
Correct |
704 ms |
163440 KB |
Output is correct |
34 |
Correct |
532 ms |
125932 KB |
Output is correct |
35 |
Correct |
686 ms |
163436 KB |
Output is correct |
36 |
Correct |
517 ms |
125604 KB |
Output is correct |
37 |
Correct |
458 ms |
101800 KB |
Output is correct |
38 |
Correct |
399 ms |
96676 KB |
Output is correct |
39 |
Correct |
501 ms |
119824 KB |
Output is correct |
40 |
Correct |
393 ms |
110844 KB |
Output is correct |
41 |
Correct |
352 ms |
110776 KB |
Output is correct |
42 |
Correct |
455 ms |
112020 KB |
Output is correct |
43 |
Correct |
372 ms |
103076 KB |
Output is correct |
44 |
Correct |
627 ms |
179096 KB |
Output is correct |
45 |
Correct |
455 ms |
134276 KB |
Output is correct |
46 |
Correct |
287 ms |
96696 KB |
Output is correct |
47 |
Correct |
514 ms |
120532 KB |
Output is correct |
48 |
Correct |
400 ms |
104520 KB |
Output is correct |
49 |
Correct |
294 ms |
104372 KB |
Output is correct |
50 |
Correct |
518 ms |
122492 KB |
Output is correct |
51 |
Correct |
317 ms |
100984 KB |
Output is correct |
52 |
Correct |
591 ms |
122396 KB |
Output is correct |
53 |
Correct |
341 ms |
105904 KB |
Output is correct |
54 |
Correct |
364 ms |
120000 KB |
Output is correct |
55 |
Correct |
490 ms |
125196 KB |
Output is correct |
56 |
Correct |
465 ms |
126620 KB |
Output is correct |
57 |
Correct |
447 ms |
128464 KB |
Output is correct |
58 |
Correct |
471 ms |
130508 KB |
Output is correct |
59 |
Correct |
534 ms |
130880 KB |
Output is correct |
60 |
Correct |
8 ms |
37208 KB |
Output is correct |
61 |
Correct |
8 ms |
37324 KB |
Output is correct |
62 |
Correct |
8 ms |
37332 KB |
Output is correct |
63 |
Correct |
7 ms |
37464 KB |
Output is correct |
64 |
Correct |
720 ms |
139304 KB |
Output is correct |
65 |
Correct |
537 ms |
113528 KB |
Output is correct |
66 |
Correct |
654 ms |
143812 KB |
Output is correct |
67 |
Correct |
517 ms |
118376 KB |
Output is correct |
68 |
Correct |
446 ms |
104784 KB |
Output is correct |
69 |
Correct |
435 ms |
101512 KB |
Output is correct |
70 |
Correct |
755 ms |
124104 KB |
Output is correct |
71 |
Correct |
688 ms |
115676 KB |
Output is correct |
72 |
Correct |
790 ms |
139156 KB |
Output is correct |
73 |
Correct |
763 ms |
130616 KB |
Output is correct |
74 |
Correct |
885 ms |
129704 KB |
Output is correct |
75 |
Correct |
741 ms |
112876 KB |
Output is correct |
76 |
Correct |
694 ms |
112756 KB |
Output is correct |
77 |
Correct |
904 ms |
131260 KB |
Output is correct |
78 |
Correct |
656 ms |
114216 KB |
Output is correct |
79 |
Correct |
786 ms |
145848 KB |
Output is correct |
80 |
Correct |
607 ms |
123592 KB |
Output is correct |
81 |
Correct |
563 ms |
113052 KB |
Output is correct |
82 |
Correct |
776 ms |
139704 KB |
Output is correct |
83 |
Correct |
318 ms |
77764 KB |
Output is correct |
84 |
Correct |
751 ms |
127876 KB |
Output is correct |
85 |
Correct |
768 ms |
127940 KB |
Output is correct |
86 |
Correct |
732 ms |
124944 KB |
Output is correct |
87 |
Correct |
728 ms |
128216 KB |
Output is correct |
88 |
Correct |
732 ms |
129064 KB |
Output is correct |