Submission #211792

# Submission time Handle Problem Language Result Execution time Memory
211792 2020-03-21T09:38:28 Z kig9981 Fireworks (APIO16_fireworks) C++17
55 / 100
2000 ms 281596 KB
#include <bits/stdc++.h>
 
#ifdef NON_SUBMIT
#define TEST(n) (n)
#define tout cerr
#else
#define TEST(n) ((void)0)
#define tout cin
#endif
 
using namespace std;

vector<pair<int,int>> adj[300000];
int parent[300000];
vector<pair<long long,long long>> D[300000];

void dfs(int c)
{
	vector<long long> x(1);
	vector<pair<long long,long long>> C;
	long long A=0, B=0, A0, B0, A1, B1;
	if(adj[c].empty()) {
		D[c].emplace_back(0,0);
		return;
	}
	for(auto[n,w]: adj[c]) {
		dfs(n);
		if(D[n].size()>1 && D[n][D[n].size()-2].second==D[n][D[n].size()-1].second) {
			D[n].push_back(D[n].back());
			D[n][D[n].size()-2]=D[n][D[n].size()-3];
			x.push_back(D[n][D[n].size()-1].first+=w);
			x.push_back(D[n][D[n].size()-2].first+=w);
			for(int i=0;i<D[n].size()-2;i++) {
				D[n][i].second+=w;
				x.push_back(D[n][i].first);
			}
		}
		else {
			D[n].push_back(D[n].back());
			x.push_back(D[n].back().first+=w);
			for(int i=0;i<D[n].size()-1;i++) {
				D[n][i].second+=w;
				x.push_back(D[n][i].first);
			}
		}
	}
	sort(x.begin(),x.end());
	x.resize(unique(x.begin(),x.end())-x.begin());
	C.resize(x.size());
	for(auto[n,w]: adj[c]) {
		if(D[n].size()>1) {
			A+=(D[n][1].second-D[n][0].second)/D[n][1].first;
			B+=D[n][0].second;
		}
		else {
			A++;
			B+=D[n][0].second;
		}
		for(int i=1;i<D[n].size();i++) {
			int p=lower_bound(x.begin(),x.end(),D[n][i].first)-x.begin();
			A0=(D[n][i].second-D[n][i-1].second)/(D[n][i].first-D[n][i-1].first);
			B0=-A0*D[n][i].first+D[n][i].second;
			if(i+1==D[n].size()) A1=1;
			else A1=(D[n][i].second-D[n][i+1].second)/(D[n][i].first-D[n][i+1].first);
			B1=-A1*D[n][i].first+D[n][i].second;
			C[p].first+=A1-A0;
			C[p].second+=B1-B0;
		}
	}
	D[c].emplace_back(0,B);
	for(int i=1;i<x.size();i++) {
		A+=C[i].first; B+=C[i].second;
		while(D[c].size()>1 && (D[c][D[c].size()-2].second-D[c].back().second)/(D[c][D[c].size()-2].first-D[c].back().first)==(A*x[i]+B-D[c].back().second)/(x[i]-D[c].back().first)) D[c].pop_back();
		if(A*x[i]+B<=D[c].back().second) D[c].emplace_back(x[i],A*x[i]+B);
	}
}

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(NULL); cout.tie(NULL);
	TEST(freopen("input.txt","r",stdin));
	TEST(freopen("output.txt","w",stdout));
	TEST(freopen("debug.txt","w",stderr));
	int N, M;
	cin>>N>>M; N+=M;
	for(int i=1;i<N;i++) {
		int c;
		cin>>parent[i]>>c;
		adj[--parent[i]].emplace_back(i,c);
	}
	dfs(0);
	cout<<D[0].back().second<<'\n';
	return 0;
}

Compilation message

fireworks.cpp: In function 'void dfs(int)':
fireworks.cpp:33:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i=0;i<D[n].size()-2;i++) {
                ~^~~~~~~~~~~~~~
fireworks.cpp:41:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i=0;i<D[n].size()-1;i++) {
                ~^~~~~~~~~~~~~~
fireworks.cpp:59:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=1;i<D[n].size();i++) {
               ~^~~~~~~~~~~~
fireworks.cpp:63:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(i+1==D[n].size()) A1=1;
       ~~~^~~~~~~~~~~~~
fireworks.cpp:50:14: warning: unused variable 'w' [-Wunused-variable]
  for(auto[n,w]: adj[c]) {
              ^
fireworks.cpp:71:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=1;i<x.size();i++) {
              ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 13 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 15 ms 14464 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 13 ms 14464 KB Output is correct
12 Correct 14 ms 14464 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 14 ms 14592 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 15 ms 14464 KB Output is correct
17 Correct 2 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 16 ms 14464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 13 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14336 KB Output is correct
11 Correct 12 ms 14464 KB Output is correct
12 Correct 13 ms 14464 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 15 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 14 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 14 ms 14592 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 15 ms 14464 KB Output is correct
27 Correct 2 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 16 ms 14464 KB Output is correct
30 Correct 14 ms 14592 KB Output is correct
31 Correct 15 ms 14848 KB Output is correct
32 Correct 15 ms 14976 KB Output is correct
33 Correct 17 ms 15232 KB Output is correct
34 Correct 19 ms 15488 KB Output is correct
35 Correct 27 ms 16384 KB Output is correct
36 Correct 23 ms 16256 KB Output is correct
37 Correct 25 ms 16248 KB Output is correct
38 Correct 34 ms 18304 KB Output is correct
39 Correct 25 ms 16768 KB Output is correct
40 Correct 18 ms 16000 KB Output is correct
41 Correct 18 ms 16000 KB Output is correct
42 Correct 16 ms 15104 KB Output is correct
43 Correct 156 ms 51964 KB Output is correct
44 Correct 127 ms 43640 KB Output is correct
45 Correct 118 ms 43512 KB Output is correct
46 Correct 16 ms 15104 KB Output is correct
47 Correct 16 ms 15104 KB Output is correct
48 Correct 16 ms 14976 KB Output is correct
49 Correct 16 ms 15104 KB Output is correct
50 Correct 16 ms 15104 KB Output is correct
51 Correct 16 ms 14976 KB Output is correct
52 Correct 19 ms 15488 KB Output is correct
53 Correct 17 ms 15104 KB Output is correct
54 Correct 16 ms 15104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 14464 KB Output is correct
2 Correct 13 ms 14464 KB Output is correct
3 Correct 13 ms 14464 KB Output is correct
4 Correct 13 ms 14464 KB Output is correct
5 Correct 13 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 13 ms 14464 KB Output is correct
8 Correct 13 ms 14464 KB Output is correct
9 Correct 13 ms 14464 KB Output is correct
10 Correct 13 ms 14336 KB Output is correct
11 Correct 12 ms 14464 KB Output is correct
12 Correct 13 ms 14464 KB Output is correct
13 Correct 13 ms 14464 KB Output is correct
14 Correct 13 ms 14464 KB Output is correct
15 Correct 13 ms 14464 KB Output is correct
16 Correct 13 ms 14464 KB Output is correct
17 Correct 14 ms 14464 KB Output is correct
18 Correct 13 ms 14464 KB Output is correct
19 Correct 15 ms 14464 KB Output is correct
20 Correct 13 ms 14464 KB Output is correct
21 Correct 13 ms 14464 KB Output is correct
22 Correct 14 ms 14464 KB Output is correct
23 Correct 13 ms 14464 KB Output is correct
24 Correct 14 ms 14592 KB Output is correct
25 Correct 13 ms 14464 KB Output is correct
26 Correct 15 ms 14464 KB Output is correct
27 Correct 2 ms 14464 KB Output is correct
28 Correct 13 ms 14464 KB Output is correct
29 Correct 16 ms 14464 KB Output is correct
30 Correct 14 ms 14592 KB Output is correct
31 Correct 15 ms 14848 KB Output is correct
32 Correct 15 ms 14976 KB Output is correct
33 Correct 17 ms 15232 KB Output is correct
34 Correct 19 ms 15488 KB Output is correct
35 Correct 27 ms 16384 KB Output is correct
36 Correct 23 ms 16256 KB Output is correct
37 Correct 25 ms 16248 KB Output is correct
38 Correct 34 ms 18304 KB Output is correct
39 Correct 25 ms 16768 KB Output is correct
40 Correct 18 ms 16000 KB Output is correct
41 Correct 18 ms 16000 KB Output is correct
42 Correct 16 ms 15104 KB Output is correct
43 Correct 156 ms 51964 KB Output is correct
44 Correct 127 ms 43640 KB Output is correct
45 Correct 118 ms 43512 KB Output is correct
46 Correct 16 ms 15104 KB Output is correct
47 Correct 16 ms 15104 KB Output is correct
48 Correct 16 ms 14976 KB Output is correct
49 Correct 16 ms 15104 KB Output is correct
50 Correct 16 ms 15104 KB Output is correct
51 Correct 16 ms 14976 KB Output is correct
52 Correct 19 ms 15488 KB Output is correct
53 Correct 17 ms 15104 KB Output is correct
54 Correct 16 ms 15104 KB Output is correct
55 Correct 68 ms 23672 KB Output is correct
56 Correct 520 ms 83792 KB Output is correct
57 Correct 1076 ms 153508 KB Output is correct
58 Correct 1235 ms 177232 KB Output is correct
59 Execution timed out 2101 ms 281596 KB Time limit exceeded
60 Halted 0 ms 0 KB -