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Submission #793348

# Submission time Handle Problem Language Result Execution time Memory
793348 2023-07-25T18:10:45 Z ToniB Fireworks (APIO16_fireworks) C++17
26 / 100
 37 ms 3956 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll inf = 1e14;
const int MAXN = 5005;

int n, m, L[MAXN], R[MAXN], perm[MAXN];
vector<pair<int, int> > adj[MAXN];
ll walk[MAXN], dp[MAXN][MAXN];

void precalc(int node){
	for(pair<int, int> x : adj[node]){
		walk[x.first] = walk[node] + x.second;
		precalc(x.first);
	}
}

void dfs(int node){
	if(node >= n){
		for(int i = 0; i < n + m; ++i){
			if(walk[perm[i]] == walk[node]) dp[node][i] = 0;
			else dp[node][i] = inf;
		}
	}
	for(pair<int, int> x : adj[node]){
		dfs(x.first);

		multiset<ll> lo, hi;
		vector<ll> uk (n + m);

		for(int i = 0; i < n + m; ++i){
			lo.insert(dp[x.first][i] - walk[perm[i]]);
			uk[i] = walk[perm[i]] + *lo.begin();
			if(i != n + m - 1) assert(walk[perm[i]] <= walk[perm[i + 1]]);
		}

		int p = n + m - 1;
		for(int i = n + m - 1; i >= 0; --i){
			hi.insert(dp[x.first][i] + walk[perm[i]]);

			while(p > i && x.second + walk[perm[i]] - walk[perm[p]] < 0){
				assert(hi.find(dp[x.first][p] + walk[perm[p]]) != hi.end());
				hi.erase(hi.find(dp[x.first][p] + walk[perm[p]]));
				--p;
			}
			uk[i] = min(uk[i], *hi.begin() - walk[perm[i]]);
		}

		for(int i = 0; i < n + m; ++i){
			dp[node][i] += uk[i];
		}
	}
}

int main(){
	cin >> n >> m;
	for(int i = 1; i < n + m; ++i){
		int p, c;
		cin >> p >> c, --p;
		adj[p].push_back({i, c});
	}
	precalc(0);
	vector<pair<ll, int> > walks;
	for(int i = 0; i < n + m; ++i) walks.push_back({walk[i], i});
	sort(walks.begin(), walks.end());
	for(int i = 0; i < n + m; ++i) perm[i] = walks[i].second;

	dfs(0);

	ll ans = inf;
	for(int i = 0; i < n + m; ++i) ans = min(ans, dp[0][i]);

	cout << ans;
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 2 ms 852 KB Output is correct
4 Correct 2 ms 852 KB Output is correct
5 Correct 2 ms 852 KB Output is correct
6 Correct 2 ms 852 KB Output is correct
7 Correct 2 ms 816 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 2 ms 852 KB Output is correct
10 Correct 2 ms 816 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 596 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 3 ms 980 KB Output is correct
6 Correct 4 ms 1108 KB Output is correct
7 Correct 5 ms 1236 KB Output is correct
8 Correct 7 ms 1364 KB Output is correct
9 Correct 8 ms 1400 KB Output is correct
10 Correct 10 ms 1620 KB Output is correct
11 Correct 11 ms 1748 KB Output is correct
12 Correct 13 ms 2004 KB Output is correct
13 Correct 15 ms 2048 KB Output is correct
14 Correct 14 ms 2396 KB Output is correct
15 Correct 19 ms 2408 KB Output is correct
16 Correct 19 ms 2320 KB Output is correct
17 Correct 19 ms 2352 KB Output is correct
18 Correct 18 ms 2388 KB Output is correct
19 Correct 18 ms 2388 KB Output is correct

Subtask #3
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 2 ms 852 KB Output is correct
4 Correct 2 ms 852 KB Output is correct
5 Correct 2 ms 852 KB Output is correct
6 Correct 2 ms 852 KB Output is correct
7 Correct 2 ms 816 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 2 ms 852 KB Output is correct
10 Correct 2 ms 816 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 3 ms 980 KB Output is correct
16 Correct 4 ms 1108 KB Output is correct
17 Correct 5 ms 1236 KB Output is correct
18 Correct 7 ms 1364 KB Output is correct
19 Correct 8 ms 1400 KB Output is correct
20 Correct 10 ms 1620 KB Output is correct
21 Correct 11 ms 1748 KB Output is correct
22 Correct 13 ms 2004 KB Output is correct
23 Correct 15 ms 2048 KB Output is correct
24 Correct 14 ms 2396 KB Output is correct
25 Correct 19 ms 2408 KB Output is correct
26 Correct 19 ms 2320 KB Output is correct
27 Correct 19 ms 2352 KB Output is correct
28 Correct 18 ms 2388 KB Output is correct
29 Correct 18 ms 2388 KB Output is correct
30 Incorrect 37 ms 3956 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #4
0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 2 ms 852 KB Output is correct
4 Correct 2 ms 852 KB Output is correct
5 Correct 2 ms 852 KB Output is correct
6 Correct 2 ms 852 KB Output is correct
7 Correct 2 ms 816 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 2 ms 852 KB Output is correct
10 Correct 2 ms 816 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 3 ms 980 KB Output is correct
16 Correct 4 ms 1108 KB Output is correct
17 Correct 5 ms 1236 KB Output is correct
18 Correct 7 ms 1364 KB Output is correct
19 Correct 8 ms 1400 KB Output is correct
20 Correct 10 ms 1620 KB Output is correct
21 Correct 11 ms 1748 KB Output is correct
22 Correct 13 ms 2004 KB Output is correct
23 Correct 15 ms 2048 KB Output is correct
24 Correct 14 ms 2396 KB Output is correct
25 Correct 19 ms 2408 KB Output is correct
26 Correct 19 ms 2320 KB Output is correct
27 Correct 19 ms 2352 KB Output is correct
28 Correct 18 ms 2388 KB Output is correct
29 Correct 18 ms 2388 KB Output is correct
30 Incorrect 37 ms 3956 KB Output isn't correct
31 Halted 0 ms 0 KB -