Submission #47707

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
47707	2018-05-06T11:13:14 Z	square1001	Fireworks (APIO16_fireworks)	C++14	55 / 100	2000 ms	34452 KB

fireworks

#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
// Time complexity: possibly O(N+M log(N+M))
int N, M, p[300009], c[300009], id[300009]; vector<int> g[300009]; vector<long long> v[300009];
int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	cin >> N >> M;
	long long sum = 0;
	for (int i = 1; i < N + M; i++) {
		cin >> p[i] >> c[i];
		g[--p[i]].push_back(i);
		sum += c[i];
		if (i >= N) {
			v[i - N].push_back(c[i]);
			v[i - N].push_back(c[i]);
			id[i] = i - N;
		}
	}
	for (int i = N - 1; i >= 0; i--) {
		int mx = 0;
		for (int j : g[i]) {
			if (mx < v[id[j]].size()) {
				mx = v[id[j]].size();
				id[i] = id[j];
			}
		}
		vector<int> dv = { 0, (int)v[id[i]].size() };
		for (int j : g[i]) {
			if (id[j] != id[i]) {
				v[id[i]].insert(v[id[i]].end(), v[id[j]].begin(), v[id[j]].end());
				dv.push_back(v[id[i]].size());
			}
		}
		int ds = dv.size() - 1;
		for (int j = 1; j < ds; j *= 2) {
			for (int k = 0; k < ds; k += j * 2) {
				if (k + j * 2 <= ds) {
					vector<long long> tmp(dv[k + j * 2] - dv[k]);
					merge(v[id[i]].begin() + dv[k], v[id[i]].begin() + dv[k + j], v[id[i]].begin() + dv[k + j], v[id[i]].begin() + dv[k + j * 2], tmp.begin());
					copy(tmp.begin(), tmp.end(), v[id[i]].begin() + dv[k]);
				}
				else if (k + j < ds) {
					vector<long long> tmp(dv[ds] - dv[k]);
					merge(v[id[i]].begin() + dv[k], v[id[i]].begin() + dv[k + j], v[id[i]].begin() + dv[k + j], v[id[i]].end(), tmp.begin());
					copy(tmp.begin(), tmp.end(), v[id[i]].begin() + dv[k]);
				}
			}
		}
		v[id[i]].resize(v[id[i]].size() - g[i].size() + 1);
		v[id[i]][v[id[i]].size() - 1] += c[i];
		v[id[i]][v[id[i]].size() - 2] += c[i];
	}
	for (int i = 0; i < v[id[0]].size(); i++) {
		sum -= (v[id[0]][i] - (i == 0 ? 0 : v[id[0]][i - 1])) * (v[id[0]].size() - i - 1);
	}
	cout << sum << '\n';
	return 0;
}

Compilation message

fireworks.cpp: In function 'int main()':
fireworks.cpp:25:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if (mx < v[id[j]].size()) {
        ~~~^~~~~~~~~~~~~~~~~
fireworks.cpp:56:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < v[id[0]].size(); i++) {
                  ~~^~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	13 ms	14456 KB	Output is correct
2	Correct	14 ms	14456 KB	Output is correct
3	Correct	12 ms	14488 KB	Output is correct
4	Correct	12 ms	14536 KB	Output is correct
5	Correct	13 ms	14664 KB	Output is correct
6	Correct	12 ms	14664 KB	Output is correct
7	Correct	13 ms	14664 KB	Output is correct
8	Correct	13 ms	14664 KB	Output is correct
9	Correct	14 ms	14700 KB	Output is correct
10	Correct	13 ms	14716 KB	Output is correct

Subtask #2
19.0 / 19.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	13 ms	14716 KB	Output is correct
2	Correct	13 ms	14716 KB	Output is correct
3	Correct	13 ms	14716 KB	Output is correct
4	Correct	14 ms	14716 KB	Output is correct
5	Correct	13 ms	14716 KB	Output is correct
6	Correct	14 ms	14716 KB	Output is correct
7	Correct	14 ms	14760 KB	Output is correct
8	Correct	12 ms	14760 KB	Output is correct
9	Correct	14 ms	14760 KB	Output is correct
10	Correct	12 ms	14760 KB	Output is correct
11	Correct	13 ms	14760 KB	Output is correct
12	Correct	13 ms	14760 KB	Output is correct
13	Correct	13 ms	14760 KB	Output is correct
14	Correct	15 ms	14760 KB	Output is correct
15	Correct	14 ms	14760 KB	Output is correct
16	Correct	13 ms	14760 KB	Output is correct
17	Correct	13 ms	14760 KB	Output is correct
18	Correct	12 ms	14760 KB	Output is correct
19	Correct	13 ms	14760 KB	Output is correct

Subtask #3
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	13 ms	14456 KB	Output is correct
2	Correct	14 ms	14456 KB	Output is correct
3	Correct	12 ms	14488 KB	Output is correct
4	Correct	12 ms	14536 KB	Output is correct
5	Correct	13 ms	14664 KB	Output is correct
6	Correct	12 ms	14664 KB	Output is correct
7	Correct	13 ms	14664 KB	Output is correct
8	Correct	13 ms	14664 KB	Output is correct
9	Correct	14 ms	14700 KB	Output is correct
10	Correct	13 ms	14716 KB	Output is correct
11	Correct	13 ms	14716 KB	Output is correct
12	Correct	13 ms	14716 KB	Output is correct
13	Correct	13 ms	14716 KB	Output is correct
14	Correct	14 ms	14716 KB	Output is correct
15	Correct	13 ms	14716 KB	Output is correct
16	Correct	14 ms	14716 KB	Output is correct
17	Correct	14 ms	14760 KB	Output is correct
18	Correct	12 ms	14760 KB	Output is correct
19	Correct	14 ms	14760 KB	Output is correct
20	Correct	12 ms	14760 KB	Output is correct
21	Correct	13 ms	14760 KB	Output is correct
22	Correct	13 ms	14760 KB	Output is correct
23	Correct	13 ms	14760 KB	Output is correct
24	Correct	15 ms	14760 KB	Output is correct
25	Correct	14 ms	14760 KB	Output is correct
26	Correct	13 ms	14760 KB	Output is correct
27	Correct	13 ms	14760 KB	Output is correct
28	Correct	12 ms	14760 KB	Output is correct
29	Correct	13 ms	14760 KB	Output is correct
30	Correct	13 ms	14760 KB	Output is correct
31	Correct	13 ms	14760 KB	Output is correct
32	Correct	13 ms	14844 KB	Output is correct
33	Correct	15 ms	14972 KB	Output is correct
34	Correct	15 ms	14972 KB	Output is correct
35	Correct	15 ms	14972 KB	Output is correct
36	Correct	15 ms	14972 KB	Output is correct
37	Correct	17 ms	14972 KB	Output is correct
38	Correct	19 ms	14972 KB	Output is correct
39	Correct	16 ms	14972 KB	Output is correct
40	Correct	16 ms	14972 KB	Output is correct
41	Correct	15 ms	14972 KB	Output is correct
42	Correct	15 ms	14976 KB	Output is correct
43	Correct	26 ms	14976 KB	Output is correct
44	Correct	20 ms	14976 KB	Output is correct
45	Correct	20 ms	14976 KB	Output is correct
46	Correct	16 ms	15100 KB	Output is correct
47	Correct	16 ms	15232 KB	Output is correct
48	Correct	15 ms	15232 KB	Output is correct
49	Correct	15 ms	15232 KB	Output is correct
50	Correct	15 ms	15232 KB	Output is correct
51	Correct	17 ms	15232 KB	Output is correct
52	Correct	15 ms	15232 KB	Output is correct
53	Correct	15 ms	15232 KB	Output is correct
54	Correct	15 ms	15232 KB	Output is correct

Subtask #4
0 / 45.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	13 ms	14456 KB	Output is correct
2	Correct	14 ms	14456 KB	Output is correct
3	Correct	12 ms	14488 KB	Output is correct
4	Correct	12 ms	14536 KB	Output is correct
5	Correct	13 ms	14664 KB	Output is correct
6	Correct	12 ms	14664 KB	Output is correct
7	Correct	13 ms	14664 KB	Output is correct
8	Correct	13 ms	14664 KB	Output is correct
9	Correct	14 ms	14700 KB	Output is correct
10	Correct	13 ms	14716 KB	Output is correct
11	Correct	13 ms	14716 KB	Output is correct
12	Correct	13 ms	14716 KB	Output is correct
13	Correct	13 ms	14716 KB	Output is correct
14	Correct	14 ms	14716 KB	Output is correct
15	Correct	13 ms	14716 KB	Output is correct
16	Correct	14 ms	14716 KB	Output is correct
17	Correct	14 ms	14760 KB	Output is correct
18	Correct	12 ms	14760 KB	Output is correct
19	Correct	14 ms	14760 KB	Output is correct
20	Correct	12 ms	14760 KB	Output is correct
21	Correct	13 ms	14760 KB	Output is correct
22	Correct	13 ms	14760 KB	Output is correct
23	Correct	13 ms	14760 KB	Output is correct
24	Correct	15 ms	14760 KB	Output is correct
25	Correct	14 ms	14760 KB	Output is correct
26	Correct	13 ms	14760 KB	Output is correct
27	Correct	13 ms	14760 KB	Output is correct
28	Correct	12 ms	14760 KB	Output is correct
29	Correct	13 ms	14760 KB	Output is correct
30	Correct	13 ms	14760 KB	Output is correct
31	Correct	13 ms	14760 KB	Output is correct
32	Correct	13 ms	14844 KB	Output is correct
33	Correct	15 ms	14972 KB	Output is correct
34	Correct	15 ms	14972 KB	Output is correct
35	Correct	15 ms	14972 KB	Output is correct
36	Correct	15 ms	14972 KB	Output is correct
37	Correct	17 ms	14972 KB	Output is correct
38	Correct	19 ms	14972 KB	Output is correct
39	Correct	16 ms	14972 KB	Output is correct
40	Correct	16 ms	14972 KB	Output is correct
41	Correct	15 ms	14972 KB	Output is correct
42	Correct	15 ms	14976 KB	Output is correct
43	Correct	26 ms	14976 KB	Output is correct
44	Correct	20 ms	14976 KB	Output is correct
45	Correct	20 ms	14976 KB	Output is correct
46	Correct	16 ms	15100 KB	Output is correct
47	Correct	16 ms	15232 KB	Output is correct
48	Correct	15 ms	15232 KB	Output is correct
49	Correct	15 ms	15232 KB	Output is correct
50	Correct	15 ms	15232 KB	Output is correct
51	Correct	17 ms	15232 KB	Output is correct
52	Correct	15 ms	15232 KB	Output is correct
53	Correct	15 ms	15232 KB	Output is correct
54	Correct	15 ms	15232 KB	Output is correct
55	Correct	20 ms	15612 KB	Output is correct
56	Correct	49 ms	18088 KB	Output is correct
57	Correct	90 ms	20520 KB	Output is correct
58	Correct	115 ms	22204 KB	Output is correct
59	Correct	167 ms	24668 KB	Output is correct
60	Correct	193 ms	27216 KB	Output is correct
61	Correct	240 ms	29048 KB	Output is correct
62	Correct	260 ms	30356 KB	Output is correct
63	Correct	291 ms	34008 KB	Output is correct
64	Correct	403 ms	34452 KB	Output is correct
65	Correct	121 ms	34452 KB	Output is correct
66	Correct	120 ms	34452 KB	Output is correct
67	Correct	121 ms	34452 KB	Output is correct
68	Execution timed out	2070 ms	34452 KB	Time limit exceeded
69	Halted	0 ms	0 KB	-

Submission #47707

Compilation message

Subtask #1 7.0 / 7.0

Subtask #2 19.0 / 19.0

Subtask #3 29.0 / 29.0

Subtask #4 0 / 45.0

Subtask #1
7.0 / 7.0

Subtask #2
19.0 / 19.0

Subtask #3
29.0 / 29.0

Subtask #4
0 / 45.0