#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int ll
#define x first
#define y second
#define mp make_pair
#define mt make_tuple
#define all(x) x.begin(), x.end()
const int NODES = 10e6 + 10;
mt19937 rnd;
struct node {
int x, w, dy, sy, ls, rs, sz;
} pool[NODES];
int ff = 1;
#define getter(f) int &f(int v) { assert(0 <= v && v < NODES); return pool[v].f; }
getter(x) getter(w) getter(dy) getter(sy) getter(ls) getter(rs) getter(sz)
int new_node(int nx, int ny) {
assert(ff < NODES);
int v = ff++;
x(v) = nx;
w(v) = (int)rnd();
dy(v) = ny;
sy(v) = ny;
ls(v) = rs(v) = 0;
sz(v) = 1;
return v;
}
int pull(int v) {
sy(v) = sy(ls(v)) + dy(v) + sy(rs(v));
sz(v) = sz(ls(v)) + 1 + sz(rs(v));
return v;
}
void to_vector(int t, vector<pair<int, int>> &vec) {
if (!t) {
return;
}
to_vector(ls(t), vec);
vec.emplace_back(x(t), dy(t));
to_vector(rs(t), vec);
}
void print(int t) {
vector<pair<int, int>> v;
to_vector(t, v);
for (auto e : v) {
cout << "(" << e.x << "; " << e.y << ") ";
}
cout << endl;
}
pair<int, int> splitsum(int t, int s) {
if (!t) {
return {0, 0};
}
// print(t);
assert(0 <= s && s <= sy(t));
int lsum = sy(ls(t)), msum = dy(t);
if (lsum < s && lsum + msum > s) {
int lt = new_node(x(t), s - lsum), rt = new_node(x(t), msum - dy(lt));
ls(lt) = ls(t), rs(rt) = rs(t);
return {pull(lt), pull(rt)};
}
int l, r;
if (s <= lsum) {
tie(l, ls(t)) = splitsum(ls(t), s);
r = pull(t);
} else {
tie(rs(t), r) = splitsum(rs(t), s - lsum - msum);
l = pull(t);
}
assert(sy(l) == s);
return {l, r};
}
// (-inf, k], (k, +inf)
pair<int, int> split(int t, int k) {
if (!t) {
return {0, 0};
}
int l, r;
if (k < x(t)) {
tie(l, ls(t)) = split(ls(t), k);
r = pull(t);
} else {
tie(rs(t), r) = split(rs(t), k);
l = pull(t);
}
return {l, r};
}
int merge(int l, int r) {
if (!l) {
return r;
}
if (!r) {
return l;
}
if (w(l) < w(r)) {
rs(l) = merge(rs(l), r);
return pull(l);
} else {
ls(r) = merge(l, ls(r));
return pull(r);
}
}
int get_value(int t, int x) {
int l, r;
tie(l, r) = split(t, x);
int res = sy(l);
t = merge(l, r);
return res;
}
__attribute__((warn_unused_result))
int insert(int t, int nx, int ny) {
int l, m, r;
tie(l, m) = split(t, nx - 1);
tie(m, r) = split(m, nx);
// cout << "insert " << nx << " " << ny << endl;
// print(l);
// print(m);
// print(r);
// cout << "---" << endl;
m = new_node(nx, sy(m) + ny);
l = merge(l, m);
// print(l);
return merge(l, r);
}
__attribute__((warn_unused_result))
int uminpref(int t, int px) {
int checksum = sy(t);
int l, m, r;
tie(l, m) = split(t, px - 1);
tie(m, r) = split(m, px);
if (sy(m) <= 0) {
int p, q;
tie(p, q) = splitsum(l, sy(l) + sy(m));
t = merge(p, r);
assert(sy(t) == checksum);
return t;
} else {
return merge(merge(l, m), r);
}
}
__attribute__((warn_unused_result))
int add(int tv, int tu) {
if (sz(tv) < sz(tu)) {
swap(tv, tu);
}
if (!tu) {
return tv;
}
tv = insert(tv, x(tu), dy(tu));
tv = add(tv, ls(tu));
tv = add(tv, rs(tu));
return tv;
}
const int N = 2e5 + 10;
int n, ia[N], ih[N], ic[N], dp[N];
vector<int> g[N];
bool used[N];
void dfs(int v) {
used[v] = true;
for (int u : g[v]) {
if (used[u]) {
continue;
}
dfs(u);
dp[u] = uminpref(dp[u], ih[u]);
// cout << "v = " << u + 1 << endl;
// print(dp[u]);
dp[v] = add(dp[v], dp[u]);
}
dp[v] = insert(dp[v], 0, ic[v]);
dp[v] = insert(dp[v], ih[v], -ic[v]);
dp[v] = insert(dp[v], ih[v] + 1, ic[v]);
}
signed main() {
#ifdef LC
assert(freopen("input.txt", "r", stdin));
#endif
ios::sync_with_stdio(0); cin.tie(0);
cin >> n;
for (int i = 0; i < n; ++i) {
cin >> ia[i] >> ih[i] >> ic[i];
--ia[i];
g[ia[i]].push_back(i);
}
int answer = 0;
for (int i = 0; i < n; ++i) {
if (used[i]) {
continue;
}
int v = ia[i], u = ia[ia[i]];
while (v != u) {
v = ia[v];
u = ia[ia[u]];
}
vector<int> from = {v};
u = ia[u];
while (u != v) {
from.push_back(u);
u = ia[u];
}
int t = 0;
for (int x : from) {
used[x] = true;
}
for (int x : from) {
dfs(x);
t = add(t, dp[x]);
}
// cout << "v = " << v + 1 << endl;
// print(t);
t = insert(t, 0, 0);
vector<pair<int, int>> ve;
to_vector(t, ve);
int cur = (int)1e18, y = 0;
for (auto e : ve) {
y += e.y;
cur = min(cur, y);
}
answer += cur;
}
cout << answer << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
14 ms |
7116 KB |
Output is correct |
6 |
Correct |
11 ms |
6784 KB |
Output is correct |
7 |
Correct |
9 ms |
6656 KB |
Output is correct |
8 |
Correct |
14 ms |
7116 KB |
Output is correct |
9 |
Correct |
11 ms |
6732 KB |
Output is correct |
10 |
Correct |
9 ms |
6664 KB |
Output is correct |
11 |
Correct |
7 ms |
6220 KB |
Output is correct |
12 |
Correct |
14 ms |
6988 KB |
Output is correct |
13 |
Correct |
10 ms |
6988 KB |
Output is correct |
14 |
Correct |
13 ms |
6812 KB |
Output is correct |
15 |
Correct |
12 ms |
6808 KB |
Output is correct |
16 |
Correct |
15 ms |
7416 KB |
Output is correct |
17 |
Correct |
11 ms |
7020 KB |
Output is correct |
18 |
Correct |
7 ms |
6220 KB |
Output is correct |
19 |
Correct |
13 ms |
6732 KB |
Output is correct |
20 |
Correct |
11 ms |
6604 KB |
Output is correct |
21 |
Correct |
10 ms |
6604 KB |
Output is correct |
22 |
Correct |
10 ms |
6564 KB |
Output is correct |
23 |
Correct |
8 ms |
6396 KB |
Output is correct |
24 |
Correct |
14 ms |
6732 KB |
Output is correct |
25 |
Correct |
11 ms |
6732 KB |
Output is correct |
26 |
Correct |
7 ms |
6476 KB |
Output is correct |
27 |
Correct |
11 ms |
6732 KB |
Output is correct |
28 |
Correct |
12 ms |
6860 KB |
Output is correct |
29 |
Correct |
12 ms |
6964 KB |
Output is correct |
30 |
Correct |
18 ms |
7172 KB |
Output is correct |
31 |
Correct |
18 ms |
7116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
7116 KB |
Output is correct |
2 |
Correct |
671 ms |
101664 KB |
Output is correct |
3 |
Correct |
450 ms |
84164 KB |
Output is correct |
4 |
Correct |
654 ms |
99088 KB |
Output is correct |
5 |
Correct |
474 ms |
84184 KB |
Output is correct |
6 |
Correct |
310 ms |
66676 KB |
Output is correct |
7 |
Correct |
238 ms |
53556 KB |
Output is correct |
8 |
Correct |
502 ms |
85060 KB |
Output is correct |
9 |
Correct |
460 ms |
85060 KB |
Output is correct |
10 |
Correct |
229 ms |
84932 KB |
Output is correct |
11 |
Correct |
474 ms |
78860 KB |
Output is correct |
12 |
Correct |
440 ms |
78788 KB |
Output is correct |
13 |
Correct |
758 ms |
124596 KB |
Output is correct |
14 |
Correct |
442 ms |
97196 KB |
Output is correct |
15 |
Correct |
160 ms |
52892 KB |
Output is correct |
16 |
Correct |
730 ms |
72304 KB |
Output is correct |
17 |
Correct |
402 ms |
70212 KB |
Output is correct |
18 |
Correct |
200 ms |
70084 KB |
Output is correct |
19 |
Correct |
547 ms |
61128 KB |
Output is correct |
20 |
Correct |
252 ms |
56888 KB |
Output is correct |
21 |
Correct |
800 ms |
73120 KB |
Output is correct |
22 |
Correct |
397 ms |
71092 KB |
Output is correct |
23 |
Correct |
167 ms |
63096 KB |
Output is correct |
24 |
Correct |
472 ms |
75444 KB |
Output is correct |
25 |
Correct |
498 ms |
82020 KB |
Output is correct |
26 |
Correct |
492 ms |
84864 KB |
Output is correct |
27 |
Correct |
1384 ms |
88424 KB |
Output is correct |
28 |
Correct |
1408 ms |
88520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4940 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
14 ms |
7116 KB |
Output is correct |
6 |
Correct |
11 ms |
6784 KB |
Output is correct |
7 |
Correct |
9 ms |
6656 KB |
Output is correct |
8 |
Correct |
14 ms |
7116 KB |
Output is correct |
9 |
Correct |
11 ms |
6732 KB |
Output is correct |
10 |
Correct |
9 ms |
6664 KB |
Output is correct |
11 |
Correct |
7 ms |
6220 KB |
Output is correct |
12 |
Correct |
14 ms |
6988 KB |
Output is correct |
13 |
Correct |
10 ms |
6988 KB |
Output is correct |
14 |
Correct |
13 ms |
6812 KB |
Output is correct |
15 |
Correct |
12 ms |
6808 KB |
Output is correct |
16 |
Correct |
15 ms |
7416 KB |
Output is correct |
17 |
Correct |
11 ms |
7020 KB |
Output is correct |
18 |
Correct |
7 ms |
6220 KB |
Output is correct |
19 |
Correct |
13 ms |
6732 KB |
Output is correct |
20 |
Correct |
11 ms |
6604 KB |
Output is correct |
21 |
Correct |
10 ms |
6604 KB |
Output is correct |
22 |
Correct |
10 ms |
6564 KB |
Output is correct |
23 |
Correct |
8 ms |
6396 KB |
Output is correct |
24 |
Correct |
14 ms |
6732 KB |
Output is correct |
25 |
Correct |
11 ms |
6732 KB |
Output is correct |
26 |
Correct |
7 ms |
6476 KB |
Output is correct |
27 |
Correct |
11 ms |
6732 KB |
Output is correct |
28 |
Correct |
12 ms |
6860 KB |
Output is correct |
29 |
Correct |
12 ms |
6964 KB |
Output is correct |
30 |
Correct |
18 ms |
7172 KB |
Output is correct |
31 |
Correct |
18 ms |
7116 KB |
Output is correct |
32 |
Correct |
13 ms |
7116 KB |
Output is correct |
33 |
Correct |
671 ms |
101664 KB |
Output is correct |
34 |
Correct |
450 ms |
84164 KB |
Output is correct |
35 |
Correct |
654 ms |
99088 KB |
Output is correct |
36 |
Correct |
474 ms |
84184 KB |
Output is correct |
37 |
Correct |
310 ms |
66676 KB |
Output is correct |
38 |
Correct |
238 ms |
53556 KB |
Output is correct |
39 |
Correct |
502 ms |
85060 KB |
Output is correct |
40 |
Correct |
460 ms |
85060 KB |
Output is correct |
41 |
Correct |
229 ms |
84932 KB |
Output is correct |
42 |
Correct |
474 ms |
78860 KB |
Output is correct |
43 |
Correct |
440 ms |
78788 KB |
Output is correct |
44 |
Correct |
758 ms |
124596 KB |
Output is correct |
45 |
Correct |
442 ms |
97196 KB |
Output is correct |
46 |
Correct |
160 ms |
52892 KB |
Output is correct |
47 |
Correct |
730 ms |
72304 KB |
Output is correct |
48 |
Correct |
402 ms |
70212 KB |
Output is correct |
49 |
Correct |
200 ms |
70084 KB |
Output is correct |
50 |
Correct |
547 ms |
61128 KB |
Output is correct |
51 |
Correct |
252 ms |
56888 KB |
Output is correct |
52 |
Correct |
800 ms |
73120 KB |
Output is correct |
53 |
Correct |
397 ms |
71092 KB |
Output is correct |
54 |
Correct |
167 ms |
63096 KB |
Output is correct |
55 |
Correct |
472 ms |
75444 KB |
Output is correct |
56 |
Correct |
498 ms |
82020 KB |
Output is correct |
57 |
Correct |
492 ms |
84864 KB |
Output is correct |
58 |
Correct |
1384 ms |
88424 KB |
Output is correct |
59 |
Correct |
1408 ms |
88520 KB |
Output is correct |
60 |
Correct |
4 ms |
4940 KB |
Output is correct |
61 |
Correct |
3 ms |
4940 KB |
Output is correct |
62 |
Correct |
3 ms |
4940 KB |
Output is correct |
63 |
Correct |
3 ms |
4940 KB |
Output is correct |
64 |
Correct |
615 ms |
89936 KB |
Output is correct |
65 |
Correct |
467 ms |
85820 KB |
Output is correct |
66 |
Correct |
602 ms |
93620 KB |
Output is correct |
67 |
Correct |
486 ms |
85936 KB |
Output is correct |
68 |
Correct |
319 ms |
73196 KB |
Output is correct |
69 |
Correct |
262 ms |
57876 KB |
Output is correct |
70 |
Correct |
1025 ms |
94564 KB |
Output is correct |
71 |
Correct |
630 ms |
88964 KB |
Output is correct |
72 |
Correct |
1132 ms |
98700 KB |
Output is correct |
73 |
Correct |
589 ms |
90312 KB |
Output is correct |
74 |
Correct |
908 ms |
83664 KB |
Output is correct |
75 |
Correct |
515 ms |
75432 KB |
Output is correct |
76 |
Correct |
322 ms |
74496 KB |
Output is correct |
77 |
Correct |
844 ms |
87772 KB |
Output is correct |
78 |
Correct |
438 ms |
76148 KB |
Output is correct |
79 |
Correct |
877 ms |
107568 KB |
Output is correct |
80 |
Correct |
540 ms |
90988 KB |
Output is correct |
81 |
Correct |
315 ms |
81196 KB |
Output is correct |
82 |
Correct |
508 ms |
98772 KB |
Output is correct |
83 |
Correct |
174 ms |
66628 KB |
Output is correct |
84 |
Correct |
802 ms |
96148 KB |
Output is correct |
85 |
Correct |
804 ms |
96000 KB |
Output is correct |
86 |
Correct |
777 ms |
86652 KB |
Output is correct |
87 |
Correct |
772 ms |
91892 KB |
Output is correct |
88 |
Correct |
803 ms |
94440 KB |
Output is correct |