#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <random>
#include <iomanip>
#include <functional>
#include <cassert>
#include <bitset>
#include <chrono>
using namespace std;
typedef long long ll;
ll smart(vector <int> a, vector <int> h, vector <int> c) {
int n = a.size();
vector <vector <int>> g(n);
for (int i = 0; i < n; ++i) {
--a[i];
if (a[i] != i) {
g[a[i]].push_back(i);
}
}
vector <map <int, ll>> dp(n);
auto dfs = [&] (int u, int p, auto&& dfs) -> void {
for (auto v : g[u]) {
if (v != p) {
dfs(v, u, dfs);
if (dp[v].size() > dp[u].size()) swap(dp[u], dp[v]);
for (auto p : dp[v]) dp[u][p.first] += p.second;
}
}
dp[u][1] += c[u];
dp[u][h[u]] -= c[u];
dp[u][h[u] + 1] += c[u];
/*cout << "start " << u + 1 << endl;
for (auto p : dp[u]) {
cout << p.first << ' ' << p.second << endl;
}
cout << "finish" << endl;*/
auto it = dp[u].find(h[u]);
while (it->second < 0) {
auto jt = prev(it);
jt->second += it->second;
dp[u].erase(it);
it = jt;
}
/*cout << "start " << u + 1 << endl;
for (auto p : dp[u]) {
cout << p.first << ' ' << p.second << endl;
}
cout << "finish" << endl;*/
};
dfs(0, -1, dfs);
if (dp[0].empty() || dp[0].begin()->first > 1) {
return 0LL;
} else {
return dp[0].begin()->second;
}
}
ll stupid(vector <int> a, vector <int> h, vector <int> c) {
int n = a.size();
vector <vector <int>> g(n);
for (int i = 0; i < n; ++i) {
--a[i];
if (a[i] != i) {
g[a[i]].push_back(i);
}
}
vector <map <int, ll>> dp(n);
auto dfs = [&] (int u, int p, auto&& dfs) -> void {
for (auto v : g[u]) {
if (v != p) {
dfs(v, u, dfs);
if (dp[v].size() > dp[u].size()) swap(dp[u], dp[v]);
for (auto p : dp[v]) dp[u][p.first] += p.second;
}
}
dp[u][1] += c[u];
dp[u][h[u]] -= c[u];
dp[u][h[u] + 1] += c[u];
vector <pair <int, ll>> cur = vector <pair <int, ll>> (dp[u].begin(), dp[u].end());
for (int i = 1; i < (int)cur.size(); ++i) cur[i].second += cur[i - 1].second;
for (int i = (int)cur.size() - 2; i >= 0; --i) cur[i].second = min(cur[i].second, cur[i + 1].second);
dp[u].clear();
for (int i = 0; i < (int)cur.size(); ++i) {
if (i == 0 || cur[i].second != cur[i - 1].second) dp[u][cur[i].first] += cur[i].second - (i == 0 ? 0 : cur[i - 1].second);
}
};
dfs(0, -1, dfs);
ll ans = 2e18;
ll sum = 0;
for (auto p : dp[0]) {
sum += p.second;
ans = min(ans, sum);
}
return ans;
}
void stress() {
mt19937 rnd(123);
int tt = 1000;
while (tt--) {
int n = rnd() % 5 + 1;
vector <int> a(n);
for (int i = 0; i < n; ++i) {
a[i] = rnd() % (i + 1) + 1;
}
vector <int> h(n), c(n);
for (int i = 0; i < n; ++i) {
h[i] = rnd() % 5 + 1, c[i] = rnd() % 5 + 1;
}
if (smart(a, h, c) != stupid(a, h, c)) {
cout << n << '\n';
for (int i = 0; i < n; ++i) {
cout << a[i] << ' ' << h[i] << ' ' << c[i] << endl;
}
exit(0);
}
if (tt % 10 == 0) {
cout << tt << endl;
}
}
exit(0);
}
void run() {
int n;
cin >> n;
vector <int> a(n), h(n), c(n);
for (int i = 0; i < n; ++i) {
cin >> a[i] >> h[i] >> c[i];
}
cout << smart(a, h, c) << endl;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
//stress();
run();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
208 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
7 ms |
1884 KB |
Output is correct |
6 |
Correct |
6 ms |
1612 KB |
Output is correct |
7 |
Correct |
7 ms |
1356 KB |
Output is correct |
8 |
Correct |
9 ms |
2124 KB |
Output is correct |
9 |
Correct |
6 ms |
1636 KB |
Output is correct |
10 |
Correct |
6 ms |
1356 KB |
Output is correct |
11 |
Correct |
4 ms |
1228 KB |
Output is correct |
12 |
Correct |
5 ms |
1740 KB |
Output is correct |
13 |
Correct |
4 ms |
1732 KB |
Output is correct |
14 |
Correct |
5 ms |
1356 KB |
Output is correct |
15 |
Correct |
5 ms |
1356 KB |
Output is correct |
16 |
Correct |
8 ms |
2380 KB |
Output is correct |
17 |
Correct |
7 ms |
1868 KB |
Output is correct |
18 |
Correct |
5 ms |
1228 KB |
Output is correct |
19 |
Correct |
8 ms |
1768 KB |
Output is correct |
20 |
Correct |
5 ms |
1612 KB |
Output is correct |
21 |
Correct |
4 ms |
1612 KB |
Output is correct |
22 |
Correct |
5 ms |
1868 KB |
Output is correct |
23 |
Correct |
5 ms |
1484 KB |
Output is correct |
24 |
Correct |
8 ms |
1840 KB |
Output is correct |
25 |
Correct |
4 ms |
1616 KB |
Output is correct |
26 |
Correct |
5 ms |
1996 KB |
Output is correct |
27 |
Correct |
6 ms |
1740 KB |
Output is correct |
28 |
Correct |
5 ms |
1868 KB |
Output is correct |
29 |
Correct |
5 ms |
1868 KB |
Output is correct |
30 |
Correct |
7 ms |
1868 KB |
Output is correct |
31 |
Correct |
6 ms |
1784 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
1996 KB |
Output is correct |
2 |
Correct |
426 ms |
83252 KB |
Output is correct |
3 |
Correct |
349 ms |
58484 KB |
Output is correct |
4 |
Correct |
395 ms |
80260 KB |
Output is correct |
5 |
Correct |
357 ms |
58524 KB |
Output is correct |
6 |
Correct |
215 ms |
39480 KB |
Output is correct |
7 |
Correct |
198 ms |
34996 KB |
Output is correct |
8 |
Correct |
192 ms |
53860 KB |
Output is correct |
9 |
Correct |
176 ms |
58652 KB |
Output is correct |
10 |
Correct |
124 ms |
58592 KB |
Output is correct |
11 |
Correct |
221 ms |
44740 KB |
Output is correct |
12 |
Correct |
184 ms |
44640 KB |
Output is correct |
13 |
Correct |
387 ms |
112936 KB |
Output is correct |
14 |
Correct |
281 ms |
77380 KB |
Output is correct |
15 |
Correct |
129 ms |
39720 KB |
Output is correct |
16 |
Correct |
303 ms |
60804 KB |
Output is correct |
17 |
Correct |
168 ms |
53940 KB |
Output is correct |
18 |
Correct |
132 ms |
53796 KB |
Output is correct |
19 |
Correct |
273 ms |
61664 KB |
Output is correct |
20 |
Correct |
144 ms |
49344 KB |
Output is correct |
21 |
Correct |
345 ms |
61532 KB |
Output is correct |
22 |
Correct |
155 ms |
54448 KB |
Output is correct |
23 |
Correct |
288 ms |
71400 KB |
Output is correct |
24 |
Correct |
251 ms |
62428 KB |
Output is correct |
25 |
Correct |
256 ms |
65120 KB |
Output is correct |
26 |
Correct |
214 ms |
67064 KB |
Output is correct |
27 |
Correct |
277 ms |
62604 KB |
Output is correct |
28 |
Correct |
239 ms |
62660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
208 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
7 ms |
1884 KB |
Output is correct |
6 |
Correct |
6 ms |
1612 KB |
Output is correct |
7 |
Correct |
7 ms |
1356 KB |
Output is correct |
8 |
Correct |
9 ms |
2124 KB |
Output is correct |
9 |
Correct |
6 ms |
1636 KB |
Output is correct |
10 |
Correct |
6 ms |
1356 KB |
Output is correct |
11 |
Correct |
4 ms |
1228 KB |
Output is correct |
12 |
Correct |
5 ms |
1740 KB |
Output is correct |
13 |
Correct |
4 ms |
1732 KB |
Output is correct |
14 |
Correct |
5 ms |
1356 KB |
Output is correct |
15 |
Correct |
5 ms |
1356 KB |
Output is correct |
16 |
Correct |
8 ms |
2380 KB |
Output is correct |
17 |
Correct |
7 ms |
1868 KB |
Output is correct |
18 |
Correct |
5 ms |
1228 KB |
Output is correct |
19 |
Correct |
8 ms |
1768 KB |
Output is correct |
20 |
Correct |
5 ms |
1612 KB |
Output is correct |
21 |
Correct |
4 ms |
1612 KB |
Output is correct |
22 |
Correct |
5 ms |
1868 KB |
Output is correct |
23 |
Correct |
5 ms |
1484 KB |
Output is correct |
24 |
Correct |
8 ms |
1840 KB |
Output is correct |
25 |
Correct |
4 ms |
1616 KB |
Output is correct |
26 |
Correct |
5 ms |
1996 KB |
Output is correct |
27 |
Correct |
6 ms |
1740 KB |
Output is correct |
28 |
Correct |
5 ms |
1868 KB |
Output is correct |
29 |
Correct |
5 ms |
1868 KB |
Output is correct |
30 |
Correct |
7 ms |
1868 KB |
Output is correct |
31 |
Correct |
6 ms |
1784 KB |
Output is correct |
32 |
Correct |
7 ms |
1996 KB |
Output is correct |
33 |
Correct |
426 ms |
83252 KB |
Output is correct |
34 |
Correct |
349 ms |
58484 KB |
Output is correct |
35 |
Correct |
395 ms |
80260 KB |
Output is correct |
36 |
Correct |
357 ms |
58524 KB |
Output is correct |
37 |
Correct |
215 ms |
39480 KB |
Output is correct |
38 |
Correct |
198 ms |
34996 KB |
Output is correct |
39 |
Correct |
192 ms |
53860 KB |
Output is correct |
40 |
Correct |
176 ms |
58652 KB |
Output is correct |
41 |
Correct |
124 ms |
58592 KB |
Output is correct |
42 |
Correct |
221 ms |
44740 KB |
Output is correct |
43 |
Correct |
184 ms |
44640 KB |
Output is correct |
44 |
Correct |
387 ms |
112936 KB |
Output is correct |
45 |
Correct |
281 ms |
77380 KB |
Output is correct |
46 |
Correct |
129 ms |
39720 KB |
Output is correct |
47 |
Correct |
303 ms |
60804 KB |
Output is correct |
48 |
Correct |
168 ms |
53940 KB |
Output is correct |
49 |
Correct |
132 ms |
53796 KB |
Output is correct |
50 |
Correct |
273 ms |
61664 KB |
Output is correct |
51 |
Correct |
144 ms |
49344 KB |
Output is correct |
52 |
Correct |
345 ms |
61532 KB |
Output is correct |
53 |
Correct |
155 ms |
54448 KB |
Output is correct |
54 |
Correct |
288 ms |
71400 KB |
Output is correct |
55 |
Correct |
251 ms |
62428 KB |
Output is correct |
56 |
Correct |
256 ms |
65120 KB |
Output is correct |
57 |
Correct |
214 ms |
67064 KB |
Output is correct |
58 |
Correct |
277 ms |
62604 KB |
Output is correct |
59 |
Correct |
239 ms |
62660 KB |
Output is correct |
60 |
Correct |
1 ms |
204 KB |
Output is correct |
61 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
62 |
Halted |
0 ms |
0 KB |
- |