This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
____ ____ ____ ____ ____ ____
||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 cur : adj[cycle.back()])
{
if (met.find(cur) == met.end())
pivots.push_back(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 last : pivots)
adj[cycle.back()].erase(last);
//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 (stderr)
worst_reporter2.cpp: In function 'void fix_graph()':
worst_reporter2.cpp:105:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
105 | for (int i = 0; i < cycle.size(); i ++)
| ~~^~~~~~~~~~~~~~
worst_reporter2.cpp:121:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
121 | for (int i = 1; i < cycle.size(); i ++)
| ~~^~~~~~~~~~~~~~
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