/**
____ ____ ____ ____ ____ ____
||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 = 3e5 + 10;
const ll inf = 1e18;
struct slope_trick
{
multiset < ll > left_set, right_set;
ll left_offset, right_offset, height;
slope_trick()
{
left_offset = right_offset = height = 0;
}
ll get_left()
{
if (left_set.empty())
return - inf;
return *left_set.rbegin() + left_offset;
}
ll get_right()
{
if (right_set.empty())
return inf;
return *right_set.begin() + right_offset;
}
void add_down_slope(ll value)
{
ll left = get_left();
ll right = get_right();
if (value >= left && value <= right)
{
left_set.insert(value - left_offset);
}
else if (value < left)
{
left_set.insert(value - left_offset);
}
else if (value > right)
{
right_set.erase(right_set.find(right - right_offset));
right_set.insert(value - right_offset);
left_set.insert(right - left_offset);
height = height + (value - right);
}
}
void add_up_slope(ll value)
{
///cout << "add up slope " << value << endl;
ll left = get_left();
ll right = get_right();
if (value >= left && right <= right)
{
right_set.insert(value - right_offset);
}
else if (value < left)
{
left_set.erase(left_set.find(left - left_offset));
left_set.insert(value - left_offset);
right_set.insert(left - right_offset);
height = height + (left - value);
}
else
{
right_set.insert(value - right_offset);
}
}
void shift_height(ll value)
{
height += value;
}
void shift_function(ll value)
{
left_offset += value;
right_offset += value;
}
void upperize()
{
assert(right_set.size() != 0);
ll right = get_right();
right_set.clear();
right_set.insert(right - right_offset);
}
void shift_left_slope(ll value)
{
///assert(left_set.size() != 0);
if (left_set.size() == 0)
{
left_set.insert(value - left_offset);
return;
}
ll left = get_left();
left_offset -= value;
left_set.erase(left_set.find(*left_set.rbegin()));
left_set.insert(left - left_offset);
}
void print_function()
{
cout << "left slope:" << endl;
for (ll v : left_set)
cout << v + left_offset << " ";
cout << endl;
cout << "right slope:" << endl;
for (ll v : right_set)
cout << v + right_offset << " ";
cout << endl;
cout << "height: " << height << endl;
}
};
int n, m, sub[maxn];
vector < pair < int, ll > > adj[maxn];
slope_trick fun[maxn];
void dfs(int v, ll len)
{
int heavy = -1;
sub[v] = 1;
for (pair < int, ll > nb : adj[v])
{
int u = nb.first;
ll w = nb.second;
dfs(u, w);
sub[v] += sub[u];
if (heavy == -1 || sub[u] > sub[heavy])
heavy = u;
}
if (heavy != -1)
swap(fun[v], fun[heavy]);
for (pair < int, ll > nb : adj[v])
{
int u = nb.first;
if (u == heavy)
continue;
///cout << "edge " << v << " " << u << endl;
for (ll value : fun[u].left_set)
fun[v].add_down_slope(value + fun[u].left_offset);
for (ll value : fun[u].right_set)
fun[v].add_up_slope(value + fun[u].right_offset);
fun[v].shift_height(fun[u].height);
}
if (sub[v] > 1)
{
fun[v].upperize();
}
else
{
fun[v].add_up_slope(0);
}
//cout << "vertex " << v << " " << "fine" << endl;
fun[v].shift_function(len);
fun[v].shift_left_slope(len);
}
void solve()
{
cin >> n >> m;
for (int i = 2; i <= n + m; i ++)
{
int p;
ll c;
cin >> p >> c;
adj[p].push_back({i, c});
}
dfs(1, 0);
cout << fun[1].height << endl;
}
int main()
{
solve();
return 0;
}
Compilation message
fireworks.cpp: In member function 'void slope_trick::add_up_slope(ll)':
fireworks.cpp:77:36: warning: self-comparison always evaluates to true [-Wtautological-compare]
77 | if (value >= left && right <= right)
| ~~~~~ ^~ ~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
42452 KB |
Output is correct |
2 |
Correct |
22 ms |
42508 KB |
Output is correct |
3 |
Correct |
24 ms |
42596 KB |
Output is correct |
4 |
Correct |
21 ms |
42580 KB |
Output is correct |
5 |
Correct |
20 ms |
42532 KB |
Output is correct |
6 |
Correct |
21 ms |
42580 KB |
Output is correct |
7 |
Correct |
20 ms |
42576 KB |
Output is correct |
8 |
Correct |
23 ms |
42580 KB |
Output is correct |
9 |
Correct |
20 ms |
42608 KB |
Output is correct |
10 |
Correct |
20 ms |
42572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
21 ms |
42508 KB |
Output is correct |
2 |
Correct |
20 ms |
42580 KB |
Output is correct |
3 |
Correct |
20 ms |
42588 KB |
Output is correct |
4 |
Correct |
21 ms |
42580 KB |
Output is correct |
5 |
Correct |
21 ms |
42572 KB |
Output is correct |
6 |
Correct |
21 ms |
42580 KB |
Output is correct |
7 |
Correct |
20 ms |
42580 KB |
Output is correct |
8 |
Correct |
22 ms |
42544 KB |
Output is correct |
9 |
Correct |
20 ms |
42592 KB |
Output is correct |
10 |
Correct |
21 ms |
42580 KB |
Output is correct |
11 |
Correct |
21 ms |
42604 KB |
Output is correct |
12 |
Correct |
21 ms |
42584 KB |
Output is correct |
13 |
Correct |
21 ms |
42620 KB |
Output is correct |
14 |
Correct |
21 ms |
42632 KB |
Output is correct |
15 |
Correct |
24 ms |
42592 KB |
Output is correct |
16 |
Correct |
21 ms |
42508 KB |
Output is correct |
17 |
Correct |
21 ms |
42532 KB |
Output is correct |
18 |
Correct |
21 ms |
42532 KB |
Output is correct |
19 |
Correct |
22 ms |
42580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
42452 KB |
Output is correct |
2 |
Correct |
22 ms |
42508 KB |
Output is correct |
3 |
Correct |
24 ms |
42596 KB |
Output is correct |
4 |
Correct |
21 ms |
42580 KB |
Output is correct |
5 |
Correct |
20 ms |
42532 KB |
Output is correct |
6 |
Correct |
21 ms |
42580 KB |
Output is correct |
7 |
Correct |
20 ms |
42576 KB |
Output is correct |
8 |
Correct |
23 ms |
42580 KB |
Output is correct |
9 |
Correct |
20 ms |
42608 KB |
Output is correct |
10 |
Correct |
20 ms |
42572 KB |
Output is correct |
11 |
Correct |
21 ms |
42508 KB |
Output is correct |
12 |
Correct |
20 ms |
42580 KB |
Output is correct |
13 |
Correct |
20 ms |
42588 KB |
Output is correct |
14 |
Correct |
21 ms |
42580 KB |
Output is correct |
15 |
Correct |
21 ms |
42572 KB |
Output is correct |
16 |
Correct |
21 ms |
42580 KB |
Output is correct |
17 |
Correct |
20 ms |
42580 KB |
Output is correct |
18 |
Correct |
22 ms |
42544 KB |
Output is correct |
19 |
Correct |
20 ms |
42592 KB |
Output is correct |
20 |
Correct |
21 ms |
42580 KB |
Output is correct |
21 |
Correct |
21 ms |
42604 KB |
Output is correct |
22 |
Correct |
21 ms |
42584 KB |
Output is correct |
23 |
Correct |
21 ms |
42620 KB |
Output is correct |
24 |
Correct |
21 ms |
42632 KB |
Output is correct |
25 |
Correct |
24 ms |
42592 KB |
Output is correct |
26 |
Correct |
21 ms |
42508 KB |
Output is correct |
27 |
Correct |
21 ms |
42532 KB |
Output is correct |
28 |
Correct |
21 ms |
42532 KB |
Output is correct |
29 |
Correct |
22 ms |
42580 KB |
Output is correct |
30 |
Correct |
21 ms |
42616 KB |
Output is correct |
31 |
Correct |
21 ms |
42696 KB |
Output is correct |
32 |
Correct |
23 ms |
42784 KB |
Output is correct |
33 |
Correct |
23 ms |
42880 KB |
Output is correct |
34 |
Correct |
23 ms |
42884 KB |
Output is correct |
35 |
Correct |
24 ms |
43084 KB |
Output is correct |
36 |
Correct |
24 ms |
43044 KB |
Output is correct |
37 |
Correct |
25 ms |
43116 KB |
Output is correct |
38 |
Correct |
24 ms |
43164 KB |
Output is correct |
39 |
Correct |
24 ms |
43124 KB |
Output is correct |
40 |
Correct |
28 ms |
43748 KB |
Output is correct |
41 |
Correct |
25 ms |
43652 KB |
Output is correct |
42 |
Correct |
25 ms |
42828 KB |
Output is correct |
43 |
Correct |
24 ms |
43492 KB |
Output is correct |
44 |
Correct |
25 ms |
43476 KB |
Output is correct |
45 |
Correct |
25 ms |
43488 KB |
Output is correct |
46 |
Correct |
26 ms |
43680 KB |
Output is correct |
47 |
Correct |
25 ms |
43604 KB |
Output is correct |
48 |
Correct |
25 ms |
43476 KB |
Output is correct |
49 |
Correct |
25 ms |
43536 KB |
Output is correct |
50 |
Correct |
24 ms |
43384 KB |
Output is correct |
51 |
Correct |
25 ms |
43404 KB |
Output is correct |
52 |
Correct |
25 ms |
43432 KB |
Output is correct |
53 |
Correct |
25 ms |
43416 KB |
Output is correct |
54 |
Correct |
25 ms |
43684 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
42452 KB |
Output is correct |
2 |
Correct |
22 ms |
42508 KB |
Output is correct |
3 |
Correct |
24 ms |
42596 KB |
Output is correct |
4 |
Correct |
21 ms |
42580 KB |
Output is correct |
5 |
Correct |
20 ms |
42532 KB |
Output is correct |
6 |
Correct |
21 ms |
42580 KB |
Output is correct |
7 |
Correct |
20 ms |
42576 KB |
Output is correct |
8 |
Correct |
23 ms |
42580 KB |
Output is correct |
9 |
Correct |
20 ms |
42608 KB |
Output is correct |
10 |
Correct |
20 ms |
42572 KB |
Output is correct |
11 |
Correct |
21 ms |
42508 KB |
Output is correct |
12 |
Correct |
20 ms |
42580 KB |
Output is correct |
13 |
Correct |
20 ms |
42588 KB |
Output is correct |
14 |
Correct |
21 ms |
42580 KB |
Output is correct |
15 |
Correct |
21 ms |
42572 KB |
Output is correct |
16 |
Correct |
21 ms |
42580 KB |
Output is correct |
17 |
Correct |
20 ms |
42580 KB |
Output is correct |
18 |
Correct |
22 ms |
42544 KB |
Output is correct |
19 |
Correct |
20 ms |
42592 KB |
Output is correct |
20 |
Correct |
21 ms |
42580 KB |
Output is correct |
21 |
Correct |
21 ms |
42604 KB |
Output is correct |
22 |
Correct |
21 ms |
42584 KB |
Output is correct |
23 |
Correct |
21 ms |
42620 KB |
Output is correct |
24 |
Correct |
21 ms |
42632 KB |
Output is correct |
25 |
Correct |
24 ms |
42592 KB |
Output is correct |
26 |
Correct |
21 ms |
42508 KB |
Output is correct |
27 |
Correct |
21 ms |
42532 KB |
Output is correct |
28 |
Correct |
21 ms |
42532 KB |
Output is correct |
29 |
Correct |
22 ms |
42580 KB |
Output is correct |
30 |
Correct |
21 ms |
42616 KB |
Output is correct |
31 |
Correct |
21 ms |
42696 KB |
Output is correct |
32 |
Correct |
23 ms |
42784 KB |
Output is correct |
33 |
Correct |
23 ms |
42880 KB |
Output is correct |
34 |
Correct |
23 ms |
42884 KB |
Output is correct |
35 |
Correct |
24 ms |
43084 KB |
Output is correct |
36 |
Correct |
24 ms |
43044 KB |
Output is correct |
37 |
Correct |
25 ms |
43116 KB |
Output is correct |
38 |
Correct |
24 ms |
43164 KB |
Output is correct |
39 |
Correct |
24 ms |
43124 KB |
Output is correct |
40 |
Correct |
28 ms |
43748 KB |
Output is correct |
41 |
Correct |
25 ms |
43652 KB |
Output is correct |
42 |
Correct |
25 ms |
42828 KB |
Output is correct |
43 |
Correct |
24 ms |
43492 KB |
Output is correct |
44 |
Correct |
25 ms |
43476 KB |
Output is correct |
45 |
Correct |
25 ms |
43488 KB |
Output is correct |
46 |
Correct |
26 ms |
43680 KB |
Output is correct |
47 |
Correct |
25 ms |
43604 KB |
Output is correct |
48 |
Correct |
25 ms |
43476 KB |
Output is correct |
49 |
Correct |
25 ms |
43536 KB |
Output is correct |
50 |
Correct |
24 ms |
43384 KB |
Output is correct |
51 |
Correct |
25 ms |
43404 KB |
Output is correct |
52 |
Correct |
25 ms |
43432 KB |
Output is correct |
53 |
Correct |
25 ms |
43416 KB |
Output is correct |
54 |
Correct |
25 ms |
43684 KB |
Output is correct |
55 |
Correct |
32 ms |
44292 KB |
Output is correct |
56 |
Correct |
69 ms |
49480 KB |
Output is correct |
57 |
Correct |
116 ms |
54800 KB |
Output is correct |
58 |
Correct |
144 ms |
58544 KB |
Output is correct |
59 |
Correct |
189 ms |
63660 KB |
Output is correct |
60 |
Correct |
234 ms |
69204 KB |
Output is correct |
61 |
Correct |
276 ms |
72884 KB |
Output is correct |
62 |
Correct |
298 ms |
76468 KB |
Output is correct |
63 |
Correct |
366 ms |
83864 KB |
Output is correct |
64 |
Correct |
427 ms |
84664 KB |
Output is correct |
65 |
Correct |
248 ms |
114256 KB |
Output is correct |
66 |
Correct |
253 ms |
114328 KB |
Output is correct |
67 |
Correct |
272 ms |
58228 KB |
Output is correct |
68 |
Correct |
324 ms |
104872 KB |
Output is correct |
69 |
Correct |
365 ms |
101180 KB |
Output is correct |
70 |
Correct |
377 ms |
101220 KB |
Output is correct |
71 |
Correct |
407 ms |
123056 KB |
Output is correct |
72 |
Correct |
406 ms |
123056 KB |
Output is correct |
73 |
Correct |
380 ms |
109796 KB |
Output is correct |
74 |
Correct |
389 ms |
110004 KB |
Output is correct |
75 |
Correct |
382 ms |
108748 KB |
Output is correct |
76 |
Correct |
407 ms |
108812 KB |
Output is correct |
77 |
Correct |
396 ms |
106524 KB |
Output is correct |
78 |
Correct |
435 ms |
103824 KB |
Output is correct |
79 |
Correct |
437 ms |
108292 KB |
Output is correct |