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Submission #969324

# Submission time Handle Problem Language Result Execution time Memory
969324 2024-04-25T01:15:26 Z MinaRagy06 Fireworks (APIO16_fireworks) C++17
100 / 100
 193 ms 51588 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

const int N = 300'005;
const ll inf = 2e18;
void print(priority_queue<ll> pq) {
	cout << "[ ";
	while (pq.size()) {
		cout << pq.top() << ' ';
		pq.pop();
	}
	cout << "]\n";
}
vector<array<int, 2>> adj[N];
priority_queue<ll> pq[N];
ll dp0[N];
//ll dp[N][N];
int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	int n, m;
	cin >> n >> m;
	n += m;
	for (int i = 2; i <= n; i++) {
		int p, c;
		cin >> p >> c;
		adj[p].push_back({i, c});
	}
	for (int i = n; i >= 1; i--) {
		if (adj[i].empty()) {
			dp0[i] = 0;
			pq[i].push(0);
			pq[i].push(0);
		} else {
			int cur = 0;
			for (auto [nxt, w] : adj[i]) {
				dp0[i] += dp0[nxt] + w;
				ll x = pq[nxt].top() + w;
				pq[nxt].pop();
				ll y = pq[nxt].top() + w;
				pq[nxt].pop();
				pq[nxt].push(y);
				pq[nxt].push(x);
				cur++;
				if (pq[nxt].size() > pq[i].size()) {
					swap(pq[nxt], pq[i]);
				}
				while (pq[nxt].size()) {
					x = pq[nxt].top();
					pq[nxt].pop();
					pq[i].push(x);
				}
			}
			while (cur > 1) {
				cur--;
				pq[i].pop();
			}
		}
//		cout << dp0[i] << ' ';
//		print(pq[i]);

//		for (auto [nxt, w] : adj[i]) {
//			cout << i << " -> " << nxt << ' ' << w << '\n';
//			for (int j = 0; j < N; j++) {
//				cout << dp[nxt][j] << ' ';
//			}
//			cout << '\n';
//			for (int j = 0; j < N; j++) {
//				ll mn = 1e18;
//				for (int k = 0; k <= j; k++) {
//					mn = min(mn, dp[nxt][k] + abs(j - k - w));
//				}
//				cout << mn << ' ';
//				dp[i][j] += mn;
//				dp[i][j] = min(dp[i][j], inf);
//			}
//			cout << "\n\n";
//		}
//		ll mn = *min_element(dp[i], dp[i] + N);
//		for (int j = N - 1; j >= 0; j--) {
//			if (dp[i][j] == mn) {
//				break;
//			}
//			dp[i][j] = inf;
//		}
	}
	ll height = 0;
	ll cur = 0, lst = pq[1].top();
	pq[1].pop();
	while (pq[1].size()) {
		height += (lst - pq[1].top()) * cur;
		cur++;
		lst = pq[1].top();
		pq[1].pop();
	}
	height += lst * cur;
	cout << dp0[1] - height << '\n';
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 4 ms 16828 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 4 ms 16988 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 4 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 16988 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 4 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 5 ms 16988 KB Output is correct
6 Correct 3 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 4 ms 16988 KB Output is correct
9 Correct 5 ms 17244 KB Output is correct
10 Correct 4 ms 16988 KB Output is correct
11 Correct 4 ms 16988 KB Output is correct
12 Correct 4 ms 16988 KB Output is correct
13 Correct 4 ms 16988 KB Output is correct
14 Correct 4 ms 16988 KB Output is correct
15 Correct 3 ms 16988 KB Output is correct
16 Correct 4 ms 16988 KB Output is correct
17 Correct 4 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 3 ms 16988 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 4 ms 16828 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 4 ms 16988 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 4 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 16988 KB Output is correct
11 Correct 3 ms 16988 KB Output is correct
12 Correct 3 ms 16988 KB Output is correct
13 Correct 4 ms 16988 KB Output is correct
14 Correct 3 ms 16988 KB Output is correct
15 Correct 5 ms 16988 KB Output is correct
16 Correct 3 ms 16988 KB Output is correct
17 Correct 4 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 5 ms 17244 KB Output is correct
20 Correct 4 ms 16988 KB Output is correct
21 Correct 4 ms 16988 KB Output is correct
22 Correct 4 ms 16988 KB Output is correct
23 Correct 4 ms 16988 KB Output is correct
24 Correct 4 ms 16988 KB Output is correct
25 Correct 3 ms 16988 KB Output is correct
26 Correct 4 ms 16988 KB Output is correct
27 Correct 4 ms 16988 KB Output is correct
28 Correct 4 ms 16988 KB Output is correct
29 Correct 3 ms 16988 KB Output is correct
30 Correct 4 ms 16988 KB Output is correct
31 Correct 4 ms 16988 KB Output is correct
32 Correct 4 ms 16984 KB Output is correct
33 Correct 4 ms 16988 KB Output is correct
34 Correct 4 ms 16988 KB Output is correct
35 Correct 6 ms 17244 KB Output is correct
36 Correct 5 ms 17244 KB Output is correct
37 Correct 5 ms 17312 KB Output is correct
38 Correct 6 ms 17244 KB Output is correct
39 Correct 5 ms 17240 KB Output is correct
40 Correct 5 ms 17088 KB Output is correct
41 Correct 5 ms 16984 KB Output is correct
42 Correct 4 ms 16988 KB Output is correct
43 Correct 6 ms 17164 KB Output is correct
44 Correct 6 ms 17244 KB Output is correct
45 Correct 5 ms 17244 KB Output is correct
46 Correct 6 ms 17500 KB Output is correct
47 Correct 6 ms 17500 KB Output is correct
48 Correct 7 ms 17244 KB Output is correct
49 Correct 6 ms 17244 KB Output is correct
50 Correct 5 ms 17244 KB Output is correct
51 Correct 6 ms 17232 KB Output is correct
52 Correct 6 ms 17244 KB Output is correct
53 Correct 6 ms 17352 KB Output is correct
54 Correct 5 ms 17244 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 3 ms 16988 KB Output is correct
3 Correct 4 ms 16828 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 4 ms 16988 KB Output is correct
6 Correct 6 ms 16988 KB Output is correct
7 Correct 4 ms 16988 KB Output is correct
8 Correct 4 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 16988 KB Output is correct
11 Correct 3 ms 16988 KB Output is correct
12 Correct 3 ms 16988 KB Output is correct
13 Correct 4 ms 16988 KB Output is correct
14 Correct 3 ms 16988 KB Output is correct
15 Correct 5 ms 16988 KB Output is correct
16 Correct 3 ms 16988 KB Output is correct
17 Correct 4 ms 16988 KB Output is correct
18 Correct 4 ms 16988 KB Output is correct
19 Correct 5 ms 17244 KB Output is correct
20 Correct 4 ms 16988 KB Output is correct
21 Correct 4 ms 16988 KB Output is correct
22 Correct 4 ms 16988 KB Output is correct
23 Correct 4 ms 16988 KB Output is correct
24 Correct 4 ms 16988 KB Output is correct
25 Correct 3 ms 16988 KB Output is correct
26 Correct 4 ms 16988 KB Output is correct
27 Correct 4 ms 16988 KB Output is correct
28 Correct 4 ms 16988 KB Output is correct
29 Correct 3 ms 16988 KB Output is correct
30 Correct 4 ms 16988 KB Output is correct
31 Correct 4 ms 16988 KB Output is correct
32 Correct 4 ms 16984 KB Output is correct
33 Correct 4 ms 16988 KB Output is correct
34 Correct 4 ms 16988 KB Output is correct
35 Correct 6 ms 17244 KB Output is correct
36 Correct 5 ms 17244 KB Output is correct
37 Correct 5 ms 17312 KB Output is correct
38 Correct 6 ms 17244 KB Output is correct
39 Correct 5 ms 17240 KB Output is correct
40 Correct 5 ms 17088 KB Output is correct
41 Correct 5 ms 16984 KB Output is correct
42 Correct 4 ms 16988 KB Output is correct
43 Correct 6 ms 17164 KB Output is correct
44 Correct 6 ms 17244 KB Output is correct
45 Correct 5 ms 17244 KB Output is correct
46 Correct 6 ms 17500 KB Output is correct
47 Correct 6 ms 17500 KB Output is correct
48 Correct 7 ms 17244 KB Output is correct
49 Correct 6 ms 17244 KB Output is correct
50 Correct 5 ms 17244 KB Output is correct
51 Correct 6 ms 17232 KB Output is correct
52 Correct 6 ms 17244 KB Output is correct
53 Correct 6 ms 17352 KB Output is correct
54 Correct 5 ms 17244 KB Output is correct
55 Correct 8 ms 17756 KB Output is correct
56 Correct 24 ms 22368 KB Output is correct
57 Correct 38 ms 23876 KB Output is correct
58 Correct 49 ms 25228 KB Output is correct
59 Correct 64 ms 27116 KB Output is correct
60 Correct 96 ms 31908 KB Output is correct
61 Correct 95 ms 34084 KB Output is correct
62 Correct 105 ms 35268 KB Output is correct
63 Correct 136 ms 38460 KB Output is correct
64 Correct 137 ms 38992 KB Output is correct
65 Correct 60 ms 33404 KB Output is correct
66 Correct 60 ms 33476 KB Output is correct
67 Correct 59 ms 33364 KB Output is correct
68 Correct 129 ms 35372 KB Output is correct
69 Correct 131 ms 35812 KB Output is correct
70 Correct 135 ms 35780 KB Output is correct
71 Correct 170 ms 51588 KB Output is correct
72 Correct 193 ms 50112 KB Output is correct
73 Correct 155 ms 46208 KB Output is correct
74 Correct 151 ms 47332 KB Output is correct
75 Correct 176 ms 46224 KB Output is correct
76 Correct 153 ms 45824 KB Output is correct
77 Correct 156 ms 45864 KB Output is correct
78 Correct 162 ms 44164 KB Output is correct
79 Correct 154 ms 46248 KB Output is correct