#include <bits/stdc++.h>
#define se second
#define fs first
#define mp make_pair
#define pb push_back
#define ll long long
#define ii pair<ll,ll>
#define ld long double
#define SZ(v) (int)v.size()
#define ALL(v) v.begin(), v.end()
#define bit(msk, i) ((msk >> i) & 1)
#define iter(id, v) for(auto id : v)
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now().time_since_epoch().count());
ll Rand(ll l, ll r) { return uniform_int_distribution<ll> (l, r)(rd); }
const int N = 2e5 + 7;
const int Mod = 1e9 + 7;
const int szBL = 320;
const int INF = 1e9;
const int BASE = 137;
struct Data {
int A, H, C;
};
int n;
Data a[N];
int szC[N];
vector<int> ke[N];
map<int, ll> dp[N];///dp[u]: decreasing function
int dd[N], par[N];
void dfs (int u, vector<int> &Val) {
// cout<< u <<"\n";
if (!dd[u]) dd[u] = 1;
Val.push_back(a[u].H);
szC[u] = 1;
int mxV = -1;
iter (&v, ke[u]) {
dfs(v, Val);
szC[u] += szC[v];
if (mxV == -1 || szC[mxV] < szC[v]) mxV = v;
}
if (mxV != -1) swap(dp[u], dp[mxV]);
iter (&v, ke[u]) {
if (v == mxV) continue;
iter (&id, dp[v]) {
dp[u][id.fs] += id.se;
}
map<int, ll> ().swap(dp[v]);
}
dp[u][a[u].H] += a[u].C;
ll val = a[u].C;
auto it = dp[u].lower_bound(a[u].H);
while (it != dp[u].begin()) {
--it;
if (val >= it->se) {
val -= it->se;
it = dp[u].erase(it);
}
else {
it->se -= val;
break;
}
}
// cout << u<<": ";
// iter (&id, dp[u]) cout <<id.fs<<","<<id.se<<" ";
// cout<<"\n";
}
void solution () {
cin >> n;
ll tot = 0;
rep (i, 1, n) {
cin >> a[i].A >> a[i].H >> a[i].C;
tot += a[i].C;
ke[a[i].A].push_back(i);
par[i] = a[i].A;
// cout << a[i].A <<" "<<i<<" h\n";
}
ll res = 0;
rep (u, 1, n) {
if (dd[u]) continue;
static vector<int> ver; ver.clear();
int cur = u;
while (!dd[cur]) {
dd[cur] = 1;
ver.push_back(cur);
cur = par[cur];
}
vector<int> cycle (find(ALL(ver), cur), ver.end());
iter (&v, cycle) dd[v] = 2;
static map<int, ll> dpr, cnt; dpr.clear(); cnt.clear();
static vector<int> Val; Val.clear();
iter (&v, cycle) {
// cout << v<<"\n";
cnt[a[v].H] += a[v].C;
Val.push_back(a[v].H);
iter (&k, ke[v]) {
if (dd[k] == 2) continue;
dfs(k, Val);
if (SZ(dp[k]) > SZ(dpr)) swap(dpr, dp[k]);
iter (&id, dp[k]) {
dpr[id.fs] += id.se;
}
}
}
dpr[INF] += 0;
for (auto it = dpr.rbegin(); ; ++it) {
if (next(it) == dpr.rend()) break;
next(it)->se += it->se;
// cout << it->fs <<" "<<it->se <<"\n";
}
ll delta = 0;
iter (&id, Val) {
delta = max(delta, cnt[id] + dpr.lower_bound(id)->se);
}
res += delta;
// cout<<"\n";
}
cout << tot - res <<"\n";
}
#define file(name) freopen(name".inp", "r", stdin); \
freopen(name".out", "w", stdout);
int main () {
// file("c");
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
ll num_Test = 1;
// cin >> num_Test;
while(num_Test--)
solution();
}
/*
no bug challenge
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
14428 KB |
Output is correct |
2 |
Correct |
6 ms |
14564 KB |
Output is correct |
3 |
Correct |
5 ms |
14428 KB |
Output is correct |
4 |
Correct |
5 ms |
14428 KB |
Output is correct |
5 |
Correct |
11 ms |
15416 KB |
Output is correct |
6 |
Correct |
9 ms |
14940 KB |
Output is correct |
7 |
Correct |
8 ms |
14700 KB |
Output is correct |
8 |
Correct |
10 ms |
15452 KB |
Output is correct |
9 |
Correct |
11 ms |
14844 KB |
Output is correct |
10 |
Correct |
7 ms |
14936 KB |
Output is correct |
11 |
Correct |
7 ms |
14940 KB |
Output is correct |
12 |
Correct |
8 ms |
15964 KB |
Output is correct |
13 |
Correct |
7 ms |
15752 KB |
Output is correct |
14 |
Correct |
8 ms |
15708 KB |
Output is correct |
15 |
Correct |
8 ms |
15196 KB |
Output is correct |
16 |
Correct |
10 ms |
15452 KB |
Output is correct |
17 |
Correct |
8 ms |
14936 KB |
Output is correct |
18 |
Correct |
7 ms |
14940 KB |
Output is correct |
19 |
Correct |
8 ms |
15708 KB |
Output is correct |
20 |
Correct |
7 ms |
15196 KB |
Output is correct |
21 |
Correct |
7 ms |
15364 KB |
Output is correct |
22 |
Correct |
9 ms |
15704 KB |
Output is correct |
23 |
Correct |
7 ms |
14940 KB |
Output is correct |
24 |
Correct |
11 ms |
15704 KB |
Output is correct |
25 |
Correct |
8 ms |
15452 KB |
Output is correct |
26 |
Correct |
8 ms |
15964 KB |
Output is correct |
27 |
Correct |
9 ms |
15616 KB |
Output is correct |
28 |
Correct |
8 ms |
15972 KB |
Output is correct |
29 |
Correct |
8 ms |
15964 KB |
Output is correct |
30 |
Correct |
9 ms |
15960 KB |
Output is correct |
31 |
Correct |
10 ms |
15964 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
14428 KB |
Output is correct |
2 |
Correct |
6 ms |
14564 KB |
Output is correct |
3 |
Correct |
5 ms |
14428 KB |
Output is correct |
4 |
Correct |
5 ms |
14428 KB |
Output is correct |
5 |
Correct |
11 ms |
15416 KB |
Output is correct |
6 |
Correct |
9 ms |
14940 KB |
Output is correct |
7 |
Correct |
8 ms |
14700 KB |
Output is correct |
8 |
Correct |
10 ms |
15452 KB |
Output is correct |
9 |
Correct |
11 ms |
14844 KB |
Output is correct |
10 |
Correct |
7 ms |
14936 KB |
Output is correct |
11 |
Correct |
7 ms |
14940 KB |
Output is correct |
12 |
Correct |
8 ms |
15964 KB |
Output is correct |
13 |
Correct |
7 ms |
15752 KB |
Output is correct |
14 |
Correct |
8 ms |
15708 KB |
Output is correct |
15 |
Correct |
8 ms |
15196 KB |
Output is correct |
16 |
Correct |
10 ms |
15452 KB |
Output is correct |
17 |
Correct |
8 ms |
14936 KB |
Output is correct |
18 |
Correct |
7 ms |
14940 KB |
Output is correct |
19 |
Correct |
8 ms |
15708 KB |
Output is correct |
20 |
Correct |
7 ms |
15196 KB |
Output is correct |
21 |
Correct |
7 ms |
15364 KB |
Output is correct |
22 |
Correct |
9 ms |
15704 KB |
Output is correct |
23 |
Correct |
7 ms |
14940 KB |
Output is correct |
24 |
Correct |
11 ms |
15704 KB |
Output is correct |
25 |
Correct |
8 ms |
15452 KB |
Output is correct |
26 |
Correct |
8 ms |
15964 KB |
Output is correct |
27 |
Correct |
9 ms |
15616 KB |
Output is correct |
28 |
Correct |
8 ms |
15972 KB |
Output is correct |
29 |
Correct |
8 ms |
15964 KB |
Output is correct |
30 |
Correct |
9 ms |
15960 KB |
Output is correct |
31 |
Correct |
10 ms |
15964 KB |
Output is correct |
32 |
Correct |
10 ms |
15452 KB |
Output is correct |
33 |
Correct |
320 ms |
55908 KB |
Output is correct |
34 |
Correct |
142 ms |
28876 KB |
Output is correct |
35 |
Correct |
313 ms |
54520 KB |
Output is correct |
36 |
Correct |
165 ms |
28924 KB |
Output is correct |
37 |
Correct |
93 ms |
28556 KB |
Output is correct |
38 |
Correct |
80 ms |
28368 KB |
Output is correct |
39 |
Correct |
219 ms |
78320 KB |
Output is correct |
40 |
Correct |
119 ms |
65932 KB |
Output is correct |
41 |
Correct |
81 ms |
65988 KB |
Output is correct |
42 |
Correct |
165 ms |
61120 KB |
Output is correct |
43 |
Correct |
108 ms |
48696 KB |
Output is correct |
44 |
Correct |
303 ms |
52928 KB |
Output is correct |
45 |
Correct |
143 ms |
28444 KB |
Output is correct |
46 |
Correct |
58 ms |
28108 KB |
Output is correct |
47 |
Correct |
280 ms |
64964 KB |
Output is correct |
48 |
Correct |
93 ms |
45400 KB |
Output is correct |
49 |
Correct |
70 ms |
45512 KB |
Output is correct |
50 |
Correct |
317 ms |
62412 KB |
Output is correct |
51 |
Correct |
80 ms |
37584 KB |
Output is correct |
52 |
Correct |
329 ms |
65332 KB |
Output is correct |
53 |
Correct |
94 ms |
52036 KB |
Output is correct |
54 |
Correct |
111 ms |
78484 KB |
Output is correct |
55 |
Correct |
193 ms |
66300 KB |
Output is correct |
56 |
Correct |
157 ms |
77000 KB |
Output is correct |
57 |
Correct |
159 ms |
81844 KB |
Output is correct |
58 |
Correct |
208 ms |
79048 KB |
Output is correct |
59 |
Correct |
184 ms |
79200 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
14428 KB |
Output is correct |
2 |
Correct |
6 ms |
14564 KB |
Output is correct |
3 |
Correct |
5 ms |
14428 KB |
Output is correct |
4 |
Correct |
5 ms |
14428 KB |
Output is correct |
5 |
Correct |
11 ms |
15416 KB |
Output is correct |
6 |
Correct |
9 ms |
14940 KB |
Output is correct |
7 |
Correct |
8 ms |
14700 KB |
Output is correct |
8 |
Correct |
10 ms |
15452 KB |
Output is correct |
9 |
Correct |
11 ms |
14844 KB |
Output is correct |
10 |
Correct |
7 ms |
14936 KB |
Output is correct |
11 |
Correct |
7 ms |
14940 KB |
Output is correct |
12 |
Correct |
8 ms |
15964 KB |
Output is correct |
13 |
Correct |
7 ms |
15752 KB |
Output is correct |
14 |
Correct |
8 ms |
15708 KB |
Output is correct |
15 |
Correct |
8 ms |
15196 KB |
Output is correct |
16 |
Correct |
10 ms |
15452 KB |
Output is correct |
17 |
Correct |
8 ms |
14936 KB |
Output is correct |
18 |
Correct |
7 ms |
14940 KB |
Output is correct |
19 |
Correct |
8 ms |
15708 KB |
Output is correct |
20 |
Correct |
7 ms |
15196 KB |
Output is correct |
21 |
Correct |
7 ms |
15364 KB |
Output is correct |
22 |
Correct |
9 ms |
15704 KB |
Output is correct |
23 |
Correct |
7 ms |
14940 KB |
Output is correct |
24 |
Correct |
11 ms |
15704 KB |
Output is correct |
25 |
Correct |
8 ms |
15452 KB |
Output is correct |
26 |
Correct |
8 ms |
15964 KB |
Output is correct |
27 |
Correct |
9 ms |
15616 KB |
Output is correct |
28 |
Correct |
8 ms |
15972 KB |
Output is correct |
29 |
Correct |
8 ms |
15964 KB |
Output is correct |
30 |
Correct |
9 ms |
15960 KB |
Output is correct |
31 |
Correct |
10 ms |
15964 KB |
Output is correct |
32 |
Correct |
10 ms |
15452 KB |
Output is correct |
33 |
Correct |
320 ms |
55908 KB |
Output is correct |
34 |
Correct |
142 ms |
28876 KB |
Output is correct |
35 |
Correct |
313 ms |
54520 KB |
Output is correct |
36 |
Correct |
165 ms |
28924 KB |
Output is correct |
37 |
Correct |
93 ms |
28556 KB |
Output is correct |
38 |
Correct |
80 ms |
28368 KB |
Output is correct |
39 |
Correct |
219 ms |
78320 KB |
Output is correct |
40 |
Correct |
119 ms |
65932 KB |
Output is correct |
41 |
Correct |
81 ms |
65988 KB |
Output is correct |
42 |
Correct |
165 ms |
61120 KB |
Output is correct |
43 |
Correct |
108 ms |
48696 KB |
Output is correct |
44 |
Correct |
303 ms |
52928 KB |
Output is correct |
45 |
Correct |
143 ms |
28444 KB |
Output is correct |
46 |
Correct |
58 ms |
28108 KB |
Output is correct |
47 |
Correct |
280 ms |
64964 KB |
Output is correct |
48 |
Correct |
93 ms |
45400 KB |
Output is correct |
49 |
Correct |
70 ms |
45512 KB |
Output is correct |
50 |
Correct |
317 ms |
62412 KB |
Output is correct |
51 |
Correct |
80 ms |
37584 KB |
Output is correct |
52 |
Correct |
329 ms |
65332 KB |
Output is correct |
53 |
Correct |
94 ms |
52036 KB |
Output is correct |
54 |
Correct |
111 ms |
78484 KB |
Output is correct |
55 |
Correct |
193 ms |
66300 KB |
Output is correct |
56 |
Correct |
157 ms |
77000 KB |
Output is correct |
57 |
Correct |
159 ms |
81844 KB |
Output is correct |
58 |
Correct |
208 ms |
79048 KB |
Output is correct |
59 |
Correct |
184 ms |
79200 KB |
Output is correct |
60 |
Correct |
6 ms |
14428 KB |
Output is correct |
61 |
Correct |
5 ms |
14428 KB |
Output is correct |
62 |
Correct |
7 ms |
14684 KB |
Output is correct |
63 |
Correct |
5 ms |
14400 KB |
Output is correct |
64 |
Correct |
316 ms |
50292 KB |
Output is correct |
65 |
Correct |
139 ms |
29988 KB |
Output is correct |
66 |
Correct |
298 ms |
50628 KB |
Output is correct |
67 |
Correct |
143 ms |
30664 KB |
Output is correct |
68 |
Correct |
91 ms |
29748 KB |
Output is correct |
69 |
Correct |
89 ms |
28768 KB |
Output is correct |
70 |
Correct |
176 ms |
40156 KB |
Output is correct |
71 |
Correct |
87 ms |
31428 KB |
Output is correct |
72 |
Correct |
181 ms |
44676 KB |
Output is correct |
73 |
Correct |
93 ms |
32968 KB |
Output is correct |
74 |
Correct |
309 ms |
53956 KB |
Output is correct |
75 |
Correct |
118 ms |
35268 KB |
Output is correct |
76 |
Correct |
105 ms |
35248 KB |
Output is correct |
77 |
Correct |
243 ms |
54344 KB |
Output is correct |
78 |
Correct |
93 ms |
35920 KB |
Output is correct |
79 |
Correct |
281 ms |
50392 KB |
Output is correct |
80 |
Correct |
122 ms |
31828 KB |
Output is correct |
81 |
Correct |
85 ms |
31016 KB |
Output is correct |
82 |
Correct |
122 ms |
44860 KB |
Output is correct |
83 |
Correct |
71 ms |
29644 KB |
Output is correct |
84 |
Correct |
239 ms |
57288 KB |
Output is correct |
85 |
Correct |
208 ms |
57288 KB |
Output is correct |
86 |
Correct |
218 ms |
54216 KB |
Output is correct |
87 |
Correct |
222 ms |
57472 KB |
Output is correct |
88 |
Correct |
222 ms |
57428 KB |
Output is correct |