#include <iostream>
#include <algorithm>
#include <vector>
#include <set>
using namespace std;
const int MAXN=2e5+3;
#define endl '\n'
#define getchar getchar_unlocked
struct Node {
long long mx, lazyadd, lazyset;
};
vector <int> v[MAXN];
set <int> vals;
vector <pair <int, long long> > dp[MAXN];
Node tree[4*MAXN];
long long c[MAXN];
int h[MAXN], cnt;
pair <int,int> kopie[MAXN];
int ss[MAXN];
void merge_lazy(int par, int ch) {
if (tree[par].lazyset!=-1) {
tree[ch].lazyset=tree[par].lazyset;
tree[ch].lazyadd=0;
return;
}
if (tree[ch].lazyset==-1) tree[ch].lazyadd+=tree[par].lazyadd;
else tree[ch].lazyset+=tree[par].lazyadd;
}
void push_lazy(int node, int l, int r) {
if (tree[node].lazyadd==0 && tree[node].lazyset==-1) return;
if (tree[node].lazyadd==0) tree[node].mx=tree[node].lazyset;
else tree[node].mx+=tree[node].lazyadd;
if (l!=r) {
merge_lazy(node,node*2);
merge_lazy(node,node*2+1);
}
tree[node].lazyadd=0;
tree[node].lazyset=-1;
}
void add_update(int node, int l, int r, int ql, int qr, long long ch) {
push_lazy(node,l,r);
if (ql>r || qr<l) return;
if (l>=ql && r<=qr) {
tree[node].lazyadd=ch;
push_lazy(node,l,r);
return;
}
int mid=(l+r)/2;
add_update(node*2,l,mid,ql,qr,ch);
add_update(node*2+1,mid+1,r,ql,qr,ch);
tree[node].mx=max(tree[node*2].mx,tree[node*2+1].mx);
}
void set_update(int node, int l, int r, int ql, int qr, long long ch) {
push_lazy(node,l,r);
if (ql>r || qr<l) return;
if (l>=ql && r<=qr) {
tree[node].lazyset=ch;
push_lazy(node,l,r);
return;
}
int mid=(l+r)/2;
set_update(node*2,l,mid,ql,qr,ch);
set_update(node*2+1,mid+1,r,ql,qr,ch);
tree[node].mx=max(tree[node*2].mx,tree[node*2+1].mx);
}
long long query(int node, int l, int r, int qind) {
push_lazy(node,l,r);
if (l==r) return tree[node].mx;
int mid=(l+r)/2;
if (qind<=mid) return query(node*2,l,mid,qind);
return query(node*2+1,mid+1,r,qind);
}
int find_ind(int node, int l, int r, int ql, int qr, long long ch) {
push_lazy(node,l,r);
if (ql>r || qr<l || tree[node].mx<=ch) return -1;
if (l==r) return l;
int mid=(l+r)/2;
int res=find_ind(node*2,l,mid,ql,qr,ch);
if (res!=-1) return res;
return find_ind(node*2+1,mid+1,r,ql,qr,ch);
}
void find_ss(int x) {
ss[x]=1;
for (int i=0;i<v[x].size();++i) {
find_ss(v[x][i]);
ss[x]+=ss[v[x][i]];
}
for (int i=1;i<v[x].size();++i) {
if (ss[v[x][i]]>ss[v[x][0]]) swap(v[x][0],v[x][i]);
}
}
void find_dp(int x) {
if (v[x].empty()) {
add_update(1,1,cnt,h[x]+1,cnt,c[x]);
vals.insert(h[x]);
vals.insert(cnt);
return;
}
long long cur_res;
int k;
cur_res=0;
for (int i=1;i<v[x].size();++i) {
find_dp(v[x][i]);
dp[v[x][i]].resize(vals.size());
k=0;
for (auto j:vals) {
dp[v[x][i]][k]={j,query(1,1,cnt,j)};
k++;
}
cur_res+=query(1,1,cnt,(*vals.lower_bound(h[x])));
set_update(1,1,cnt,1,cnt,0);
vals.clear();
}
find_dp(v[x][0]);
cur_res+=query(1,1,cnt,(*vals.lower_bound(h[x])));
for (int i=1;i<v[x].size();++i) {
for (int j=0;j<dp[v[x][i]].size();j++) {
int newv=dp[v[x][i]][j].first;
set_update(1,1,cnt,newv,newv, query(1,1,cnt, (*vals.lower_bound(newv)) ) );
}
}
for (int i=1;i<v[x].size();++i) {
int ch=v[x][i];
for (int j=0;j<dp[ch].size();j++) {
if (j==0) add_update(1,1,cnt,1,dp[ch][j].first,dp[ch][j].second);
else {
add_update(1,1,cnt,dp[ch][j-1].first+1,dp[ch][j].first,dp[ch][j].second);
}
vals.insert(dp[ch][j].first);
}
}
add_update(1,1,cnt,1,cnt,c[x]);
int pos=find_ind(1,1,cnt,1,h[x],cur_res);
if (pos!=-1) {
set_update(1,1,cnt,pos,h[x],cur_res);
}
vals.insert(h[x]);
}
int read() {
int res=0;
char c=getchar();
while (c<'0' || c>'9') c=getchar();
while (c>='0' && c<='9') {
res=res*10+c-'0';
c=getchar();
}
return res;
}
int main () {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, par;
n=read();
for (int i=1;i<=n;++i) {
par=read();
h[i]=read();
c[i]=read();
if (i!=1) v[par].push_back(i);
kopie[i].first=h[i];
kopie[i].second=i;
}
sort(kopie+1,kopie+n+1);
cnt=0;
for (int i=1;i<=n;++i) {
if (kopie[i].first!=kopie[i-1].second) cnt++;
h[kopie[i].second]=cnt;
}
cnt++;
find_ss(1);
for (int j=1;j<=4*cnt;++j) {
tree[j].lazyset=-1;
}
find_dp(1);
cout << query(1,1,cnt,1) << endl;
return 0;
}
/*
6
1 6 5
1 3 6
1 8 4
3 4 9
2 2 5
2 5 6
*/
Compilation message
worst_reporter2.cpp: In function 'void find_ss(int)':
worst_reporter2.cpp:98:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
98 | for (int i=0;i<v[x].size();++i) {
| ~^~~~~~~~~~~~
worst_reporter2.cpp:102:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
102 | for (int i=1;i<v[x].size();++i) {
| ~^~~~~~~~~~~~
worst_reporter2.cpp: In function 'void find_dp(int)':
worst_reporter2.cpp:117:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
117 | for (int i=1;i<v[x].size();++i) {
| ~^~~~~~~~~~~~
worst_reporter2.cpp:135:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
135 | for (int i=1;i<v[x].size();++i) {
| ~^~~~~~~~~~~~
worst_reporter2.cpp:136:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
136 | for (int j=0;j<dp[v[x][i]].size();j++) {
| ~^~~~~~~~~~~~~~~~~~~
worst_reporter2.cpp:142:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
142 | for (int i=1;i<v[x].size();++i) {
| ~^~~~~~~~~~~~
worst_reporter2.cpp:144:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
144 | for (int j=0;j<dp[ch].size();j++) {
| ~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
16732 KB |
Output is correct |
2 |
Correct |
4 ms |
16732 KB |
Output is correct |
3 |
Correct |
4 ms |
16732 KB |
Output is correct |
4 |
Correct |
5 ms |
16708 KB |
Output is correct |
5 |
Correct |
27 ms |
17500 KB |
Output is correct |
6 |
Correct |
24 ms |
17232 KB |
Output is correct |
7 |
Correct |
24 ms |
17232 KB |
Output is correct |
8 |
Correct |
24 ms |
17496 KB |
Output is correct |
9 |
Correct |
25 ms |
17500 KB |
Output is correct |
10 |
Correct |
24 ms |
17488 KB |
Output is correct |
11 |
Correct |
24 ms |
17496 KB |
Output is correct |
12 |
Correct |
11 ms |
17980 KB |
Output is correct |
13 |
Correct |
10 ms |
17776 KB |
Output is correct |
14 |
Correct |
12 ms |
17496 KB |
Output is correct |
15 |
Correct |
12 ms |
17548 KB |
Output is correct |
16 |
Correct |
32 ms |
17520 KB |
Output is correct |
17 |
Correct |
31 ms |
17492 KB |
Output is correct |
18 |
Correct |
24 ms |
17492 KB |
Output is correct |
19 |
Correct |
12 ms |
17500 KB |
Output is correct |
20 |
Correct |
13 ms |
17480 KB |
Output is correct |
21 |
Correct |
12 ms |
17500 KB |
Output is correct |
22 |
Correct |
14 ms |
17244 KB |
Output is correct |
23 |
Correct |
15 ms |
17372 KB |
Output is correct |
24 |
Correct |
11 ms |
17752 KB |
Output is correct |
25 |
Correct |
12 ms |
17500 KB |
Output is correct |
26 |
Correct |
8 ms |
17776 KB |
Output is correct |
27 |
Correct |
13 ms |
17500 KB |
Output is correct |
28 |
Correct |
12 ms |
17624 KB |
Output is correct |
29 |
Correct |
11 ms |
17752 KB |
Output is correct |
30 |
Correct |
10 ms |
17500 KB |
Output is correct |
31 |
Correct |
10 ms |
17500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
16732 KB |
Output is correct |
2 |
Correct |
4 ms |
16732 KB |
Output is correct |
3 |
Correct |
4 ms |
16732 KB |
Output is correct |
4 |
Correct |
5 ms |
16708 KB |
Output is correct |
5 |
Correct |
27 ms |
17500 KB |
Output is correct |
6 |
Correct |
24 ms |
17232 KB |
Output is correct |
7 |
Correct |
24 ms |
17232 KB |
Output is correct |
8 |
Correct |
24 ms |
17496 KB |
Output is correct |
9 |
Correct |
25 ms |
17500 KB |
Output is correct |
10 |
Correct |
24 ms |
17488 KB |
Output is correct |
11 |
Correct |
24 ms |
17496 KB |
Output is correct |
12 |
Correct |
11 ms |
17980 KB |
Output is correct |
13 |
Correct |
10 ms |
17776 KB |
Output is correct |
14 |
Correct |
12 ms |
17496 KB |
Output is correct |
15 |
Correct |
12 ms |
17548 KB |
Output is correct |
16 |
Correct |
32 ms |
17520 KB |
Output is correct |
17 |
Correct |
31 ms |
17492 KB |
Output is correct |
18 |
Correct |
24 ms |
17492 KB |
Output is correct |
19 |
Correct |
12 ms |
17500 KB |
Output is correct |
20 |
Correct |
13 ms |
17480 KB |
Output is correct |
21 |
Correct |
12 ms |
17500 KB |
Output is correct |
22 |
Correct |
14 ms |
17244 KB |
Output is correct |
23 |
Correct |
15 ms |
17372 KB |
Output is correct |
24 |
Correct |
11 ms |
17752 KB |
Output is correct |
25 |
Correct |
12 ms |
17500 KB |
Output is correct |
26 |
Correct |
8 ms |
17776 KB |
Output is correct |
27 |
Correct |
13 ms |
17500 KB |
Output is correct |
28 |
Correct |
12 ms |
17624 KB |
Output is correct |
29 |
Correct |
11 ms |
17752 KB |
Output is correct |
30 |
Correct |
10 ms |
17500 KB |
Output is correct |
31 |
Correct |
10 ms |
17500 KB |
Output is correct |
32 |
Correct |
24 ms |
17492 KB |
Output is correct |
33 |
Correct |
1617 ms |
67940 KB |
Output is correct |
34 |
Correct |
1665 ms |
67700 KB |
Output is correct |
35 |
Correct |
1621 ms |
67036 KB |
Output is correct |
36 |
Correct |
1652 ms |
67936 KB |
Output is correct |
37 |
Correct |
1588 ms |
67528 KB |
Output is correct |
38 |
Correct |
1546 ms |
66940 KB |
Output is correct |
39 |
Correct |
464 ms |
82248 KB |
Output is correct |
40 |
Correct |
420 ms |
82116 KB |
Output is correct |
41 |
Correct |
345 ms |
82164 KB |
Output is correct |
42 |
Correct |
556 ms |
69916 KB |
Output is correct |
43 |
Correct |
495 ms |
69660 KB |
Output is correct |
44 |
Execution timed out |
2044 ms |
68256 KB |
Time limit exceeded |
45 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
16732 KB |
Output is correct |
2 |
Correct |
4 ms |
16732 KB |
Output is correct |
3 |
Correct |
4 ms |
16732 KB |
Output is correct |
4 |
Correct |
5 ms |
16708 KB |
Output is correct |
5 |
Correct |
27 ms |
17500 KB |
Output is correct |
6 |
Correct |
24 ms |
17232 KB |
Output is correct |
7 |
Correct |
24 ms |
17232 KB |
Output is correct |
8 |
Correct |
24 ms |
17496 KB |
Output is correct |
9 |
Correct |
25 ms |
17500 KB |
Output is correct |
10 |
Correct |
24 ms |
17488 KB |
Output is correct |
11 |
Correct |
24 ms |
17496 KB |
Output is correct |
12 |
Correct |
11 ms |
17980 KB |
Output is correct |
13 |
Correct |
10 ms |
17776 KB |
Output is correct |
14 |
Correct |
12 ms |
17496 KB |
Output is correct |
15 |
Correct |
12 ms |
17548 KB |
Output is correct |
16 |
Correct |
32 ms |
17520 KB |
Output is correct |
17 |
Correct |
31 ms |
17492 KB |
Output is correct |
18 |
Correct |
24 ms |
17492 KB |
Output is correct |
19 |
Correct |
12 ms |
17500 KB |
Output is correct |
20 |
Correct |
13 ms |
17480 KB |
Output is correct |
21 |
Correct |
12 ms |
17500 KB |
Output is correct |
22 |
Correct |
14 ms |
17244 KB |
Output is correct |
23 |
Correct |
15 ms |
17372 KB |
Output is correct |
24 |
Correct |
11 ms |
17752 KB |
Output is correct |
25 |
Correct |
12 ms |
17500 KB |
Output is correct |
26 |
Correct |
8 ms |
17776 KB |
Output is correct |
27 |
Correct |
13 ms |
17500 KB |
Output is correct |
28 |
Correct |
12 ms |
17624 KB |
Output is correct |
29 |
Correct |
11 ms |
17752 KB |
Output is correct |
30 |
Correct |
10 ms |
17500 KB |
Output is correct |
31 |
Correct |
10 ms |
17500 KB |
Output is correct |
32 |
Correct |
24 ms |
17492 KB |
Output is correct |
33 |
Correct |
1617 ms |
67940 KB |
Output is correct |
34 |
Correct |
1665 ms |
67700 KB |
Output is correct |
35 |
Correct |
1621 ms |
67036 KB |
Output is correct |
36 |
Correct |
1652 ms |
67936 KB |
Output is correct |
37 |
Correct |
1588 ms |
67528 KB |
Output is correct |
38 |
Correct |
1546 ms |
66940 KB |
Output is correct |
39 |
Correct |
464 ms |
82248 KB |
Output is correct |
40 |
Correct |
420 ms |
82116 KB |
Output is correct |
41 |
Correct |
345 ms |
82164 KB |
Output is correct |
42 |
Correct |
556 ms |
69916 KB |
Output is correct |
43 |
Correct |
495 ms |
69660 KB |
Output is correct |
44 |
Execution timed out |
2044 ms |
68256 KB |
Time limit exceeded |
45 |
Halted |
0 ms |
0 KB |
- |