#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
https://codeforces.com/blog/entry/88748?#comment-774017 (thread)
got the key idea, but didnt know how to implement in a clean way
implementation idea:
represent the subtree cost @u as a staircase function using a map
can be merged efficiently using small to large
*/
const int MOD = 1e9 + 7;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<ll> adj[N];
vector<pll> a(N);
vector<ll> subsiz(N);
void dfs1(ll u){
subsiz[u] = 1;
trav(v,adj[u]){
dfs1(v);
subsiz[u] += subsiz[v];
}
}
map<ll,ll> mp[N];
void dfs2(ll u){
if(adj[u].empty()){
auto [h,c] = a[u];
mp[u][1] = 0;
mp[u][h+1] = c;
return;
}
pll best = {-1,-1};
trav(v,adj[u]){
pll px = {subsiz[v],v};
amax(best,px);
}
ll heavy = best.ss;
assert(heavy != -1);
dfs2(heavy);
swap(mp[u],mp[heavy]);
trav(v,adj[u]){
if(v == heavy) conts;
dfs2(v);
for(auto [i,x] : mp[v]){
mp[u][i] += x;
}
mp[v].clear();
}
auto [h,c] = a[u];
mp[u][1] += c;
mp[u][h] -= c;
mp[u][h+1] += c;
auto it = mp[u].find(h);
vector<ll> rem;
ll val = mp[u][h], recent_h = h;
while(val < 0){
it--;
rem.pb(recent_h);
recent_h = it->first;
val += it->second;
}
mp[u][recent_h] = val;
trav(x,rem){
mp[u].erase(x);
}
}
void solve(int test_case)
{
ll n; cin >> n;
rep1(i,n){
ll p,h,c; cin >> p >> h >> c;
if(p != i){
adj[p].pb(i);
}
a[i] = {h,c};
}
dfs1(1);
dfs2(1);
ll ans = mp[1][1];
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
19036 KB |
Output is correct |
2 |
Correct |
5 ms |
19036 KB |
Output is correct |
3 |
Correct |
5 ms |
19036 KB |
Output is correct |
4 |
Correct |
5 ms |
19036 KB |
Output is correct |
5 |
Correct |
10 ms |
19548 KB |
Output is correct |
6 |
Correct |
8 ms |
19292 KB |
Output is correct |
7 |
Correct |
8 ms |
19224 KB |
Output is correct |
8 |
Correct |
11 ms |
19612 KB |
Output is correct |
9 |
Correct |
8 ms |
19292 KB |
Output is correct |
10 |
Correct |
8 ms |
19216 KB |
Output is correct |
11 |
Correct |
7 ms |
19292 KB |
Output is correct |
12 |
Correct |
9 ms |
20148 KB |
Output is correct |
13 |
Correct |
8 ms |
20060 KB |
Output is correct |
14 |
Correct |
9 ms |
19804 KB |
Output is correct |
15 |
Correct |
8 ms |
19804 KB |
Output is correct |
16 |
Correct |
10 ms |
19544 KB |
Output is correct |
17 |
Correct |
8 ms |
19160 KB |
Output is correct |
18 |
Correct |
7 ms |
19292 KB |
Output is correct |
19 |
Correct |
10 ms |
19832 KB |
Output is correct |
20 |
Correct |
7 ms |
19548 KB |
Output is correct |
21 |
Correct |
7 ms |
19544 KB |
Output is correct |
22 |
Correct |
8 ms |
19548 KB |
Output is correct |
23 |
Correct |
8 ms |
19292 KB |
Output is correct |
24 |
Correct |
8 ms |
19804 KB |
Output is correct |
25 |
Correct |
7 ms |
19736 KB |
Output is correct |
26 |
Correct |
9 ms |
20568 KB |
Output is correct |
27 |
Correct |
9 ms |
19768 KB |
Output is correct |
28 |
Correct |
8 ms |
20060 KB |
Output is correct |
29 |
Correct |
8 ms |
20152 KB |
Output is correct |
30 |
Correct |
9 ms |
20060 KB |
Output is correct |
31 |
Correct |
9 ms |
20060 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
19036 KB |
Output is correct |
2 |
Correct |
5 ms |
19036 KB |
Output is correct |
3 |
Correct |
5 ms |
19036 KB |
Output is correct |
4 |
Correct |
5 ms |
19036 KB |
Output is correct |
5 |
Correct |
10 ms |
19548 KB |
Output is correct |
6 |
Correct |
8 ms |
19292 KB |
Output is correct |
7 |
Correct |
8 ms |
19224 KB |
Output is correct |
8 |
Correct |
11 ms |
19612 KB |
Output is correct |
9 |
Correct |
8 ms |
19292 KB |
Output is correct |
10 |
Correct |
8 ms |
19216 KB |
Output is correct |
11 |
Correct |
7 ms |
19292 KB |
Output is correct |
12 |
Correct |
9 ms |
20148 KB |
Output is correct |
13 |
Correct |
8 ms |
20060 KB |
Output is correct |
14 |
Correct |
9 ms |
19804 KB |
Output is correct |
15 |
Correct |
8 ms |
19804 KB |
Output is correct |
16 |
Correct |
10 ms |
19544 KB |
Output is correct |
17 |
Correct |
8 ms |
19160 KB |
Output is correct |
18 |
Correct |
7 ms |
19292 KB |
Output is correct |
19 |
Correct |
10 ms |
19832 KB |
Output is correct |
20 |
Correct |
7 ms |
19548 KB |
Output is correct |
21 |
Correct |
7 ms |
19544 KB |
Output is correct |
22 |
Correct |
8 ms |
19548 KB |
Output is correct |
23 |
Correct |
8 ms |
19292 KB |
Output is correct |
24 |
Correct |
8 ms |
19804 KB |
Output is correct |
25 |
Correct |
7 ms |
19736 KB |
Output is correct |
26 |
Correct |
9 ms |
20568 KB |
Output is correct |
27 |
Correct |
9 ms |
19768 KB |
Output is correct |
28 |
Correct |
8 ms |
20060 KB |
Output is correct |
29 |
Correct |
8 ms |
20152 KB |
Output is correct |
30 |
Correct |
9 ms |
20060 KB |
Output is correct |
31 |
Correct |
9 ms |
20060 KB |
Output is correct |
32 |
Correct |
11 ms |
19548 KB |
Output is correct |
33 |
Correct |
253 ms |
40008 KB |
Output is correct |
34 |
Correct |
180 ms |
28256 KB |
Output is correct |
35 |
Correct |
243 ms |
38224 KB |
Output is correct |
36 |
Correct |
178 ms |
28304 KB |
Output is correct |
37 |
Correct |
132 ms |
27988 KB |
Output is correct |
38 |
Correct |
117 ms |
27748 KB |
Output is correct |
39 |
Correct |
192 ms |
65108 KB |
Output is correct |
40 |
Correct |
166 ms |
64976 KB |
Output is correct |
41 |
Correct |
96 ms |
64852 KB |
Output is correct |
42 |
Correct |
176 ms |
47948 KB |
Output is correct |
43 |
Correct |
160 ms |
47856 KB |
Output is correct |
44 |
Correct |
233 ms |
39516 KB |
Output is correct |
45 |
Correct |
156 ms |
27732 KB |
Output is correct |
46 |
Correct |
73 ms |
27216 KB |
Output is correct |
47 |
Correct |
206 ms |
51440 KB |
Output is correct |
48 |
Correct |
118 ms |
44628 KB |
Output is correct |
49 |
Correct |
83 ms |
44592 KB |
Output is correct |
50 |
Correct |
135 ms |
37448 KB |
Output is correct |
51 |
Correct |
73 ms |
25188 KB |
Output is correct |
52 |
Correct |
201 ms |
52612 KB |
Output is correct |
53 |
Correct |
114 ms |
45508 KB |
Output is correct |
54 |
Correct |
242 ms |
77648 KB |
Output is correct |
55 |
Correct |
210 ms |
53844 KB |
Output is correct |
56 |
Correct |
168 ms |
63828 KB |
Output is correct |
57 |
Correct |
164 ms |
68692 KB |
Output is correct |
58 |
Correct |
210 ms |
65940 KB |
Output is correct |
59 |
Correct |
209 ms |
65872 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
19036 KB |
Output is correct |
2 |
Correct |
5 ms |
19036 KB |
Output is correct |
3 |
Correct |
5 ms |
19036 KB |
Output is correct |
4 |
Correct |
5 ms |
19036 KB |
Output is correct |
5 |
Correct |
10 ms |
19548 KB |
Output is correct |
6 |
Correct |
8 ms |
19292 KB |
Output is correct |
7 |
Correct |
8 ms |
19224 KB |
Output is correct |
8 |
Correct |
11 ms |
19612 KB |
Output is correct |
9 |
Correct |
8 ms |
19292 KB |
Output is correct |
10 |
Correct |
8 ms |
19216 KB |
Output is correct |
11 |
Correct |
7 ms |
19292 KB |
Output is correct |
12 |
Correct |
9 ms |
20148 KB |
Output is correct |
13 |
Correct |
8 ms |
20060 KB |
Output is correct |
14 |
Correct |
9 ms |
19804 KB |
Output is correct |
15 |
Correct |
8 ms |
19804 KB |
Output is correct |
16 |
Correct |
10 ms |
19544 KB |
Output is correct |
17 |
Correct |
8 ms |
19160 KB |
Output is correct |
18 |
Correct |
7 ms |
19292 KB |
Output is correct |
19 |
Correct |
10 ms |
19832 KB |
Output is correct |
20 |
Correct |
7 ms |
19548 KB |
Output is correct |
21 |
Correct |
7 ms |
19544 KB |
Output is correct |
22 |
Correct |
8 ms |
19548 KB |
Output is correct |
23 |
Correct |
8 ms |
19292 KB |
Output is correct |
24 |
Correct |
8 ms |
19804 KB |
Output is correct |
25 |
Correct |
7 ms |
19736 KB |
Output is correct |
26 |
Correct |
9 ms |
20568 KB |
Output is correct |
27 |
Correct |
9 ms |
19768 KB |
Output is correct |
28 |
Correct |
8 ms |
20060 KB |
Output is correct |
29 |
Correct |
8 ms |
20152 KB |
Output is correct |
30 |
Correct |
9 ms |
20060 KB |
Output is correct |
31 |
Correct |
9 ms |
20060 KB |
Output is correct |
32 |
Correct |
11 ms |
19548 KB |
Output is correct |
33 |
Correct |
253 ms |
40008 KB |
Output is correct |
34 |
Correct |
180 ms |
28256 KB |
Output is correct |
35 |
Correct |
243 ms |
38224 KB |
Output is correct |
36 |
Correct |
178 ms |
28304 KB |
Output is correct |
37 |
Correct |
132 ms |
27988 KB |
Output is correct |
38 |
Correct |
117 ms |
27748 KB |
Output is correct |
39 |
Correct |
192 ms |
65108 KB |
Output is correct |
40 |
Correct |
166 ms |
64976 KB |
Output is correct |
41 |
Correct |
96 ms |
64852 KB |
Output is correct |
42 |
Correct |
176 ms |
47948 KB |
Output is correct |
43 |
Correct |
160 ms |
47856 KB |
Output is correct |
44 |
Correct |
233 ms |
39516 KB |
Output is correct |
45 |
Correct |
156 ms |
27732 KB |
Output is correct |
46 |
Correct |
73 ms |
27216 KB |
Output is correct |
47 |
Correct |
206 ms |
51440 KB |
Output is correct |
48 |
Correct |
118 ms |
44628 KB |
Output is correct |
49 |
Correct |
83 ms |
44592 KB |
Output is correct |
50 |
Correct |
135 ms |
37448 KB |
Output is correct |
51 |
Correct |
73 ms |
25188 KB |
Output is correct |
52 |
Correct |
201 ms |
52612 KB |
Output is correct |
53 |
Correct |
114 ms |
45508 KB |
Output is correct |
54 |
Correct |
242 ms |
77648 KB |
Output is correct |
55 |
Correct |
210 ms |
53844 KB |
Output is correct |
56 |
Correct |
168 ms |
63828 KB |
Output is correct |
57 |
Correct |
164 ms |
68692 KB |
Output is correct |
58 |
Correct |
210 ms |
65940 KB |
Output is correct |
59 |
Correct |
209 ms |
65872 KB |
Output is correct |
60 |
Runtime error |
331 ms |
524288 KB |
Execution killed with signal 9 |
61 |
Halted |
0 ms |
0 KB |
- |