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Submission #949356

# Submission time Handle Problem Language Result Execution time Memory
949356 2024-03-19T06:55:35 Z IBory Bridges (APIO19_bridges) C++17
100 / 100
 1606 ms 13176 KB 
#include <bits/stdc++.h>
#define pii pair<int, int>
using namespace std;

const int MAX = 100007, BUCKET = 1000;
int R[MAX], Z[MAX], L[MAX], ans[MAX], sq;
pii E[MAX];
stack<pii> ST;
vector<pii> upd[MAX];

int Find(int n) {
	if (n == R[n]) return n;
	return Find(R[n]);
}

void Union(int a, int b, bool save = 0) {
	a = Find(a), b = Find(b);
	if (a == b) return;
	if (Z[a] < Z[b]) swap(a, b);
	Z[a] += Z[b];
	R[b] = a;
	if (save) ST.emplace(a, b);
}

void Rollback() {
	while (!ST.empty()) {
		auto [a, b] = ST.top(); ST.pop();
		Z[a] -= Z[b];
		R[b] = b;
	}
}

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	int N, M, Q;
	cin >> N >> M;
	for (int i = 1; i <= M; ++i) cin >> E[i].first >> E[i].second >> L[i];
	cin >> Q;
	vector<pair<int, pii>> Q1, Q2;

	for (int q = 0; q < Q; ++q) {
		int a, b, c;
		cin >> a >> b >> c;
		(a == 1 ? Q1 : Q2).emplace_back(q, pii{ b, c });
		if (q % BUCKET == (BUCKET - 1) || q == Q - 1) {
			iota(R, R + 50005, 0);
			fill(Z, Z + 50005, 1);
			vector<int> replaced;
			for (auto& [n, p] : Q1) {
				// Query Num, next L
				upd[p.first].emplace_back(n, p.second);
				replaced.push_back(p.first);
			}

			sort(replaced.begin(), replaced.end());
			replaced.erase(unique(replaced.begin(), replaced.end()), replaced.end());

			vector<pair<int, pii>> QS;
			for (int i = 1; i <= M; ++i) {
				if (upd[i].empty()) QS.emplace_back(L[i], E[i]);
			}
			for (auto& [n, p] : Q2) QS.emplace_back(p.second, pii{ -p.first, n });
			sort(QS.begin(), QS.end(), greater<pair<int, pii>>());

			for (auto& [n, p] : QS) {
				auto [a, b] = p;
				// Query 2: -Start, Query Num
				if (a < 0) {
					for (int& e : replaced) {
						auto it = lower_bound(upd[e].begin(), upd[e].end(), pii {b, 0});
						if (it == upd[e].begin()) {
							if (n <= L[e]) Union(E[e].first, E[e].second, 1);
						}
						else {
							if (n <= (*--it).second) Union(E[e].first, E[e].second, 1);
						}
					}
					ans[b] = Z[Find(-a)];
					Rollback();
				}
				else Union(a, b);
			}

			for (auto& [n, p] : Q1) {
				upd[p.first].clear();
				L[p.first] = p.second;
			}
			Q1.clear(); Q2.clear();
		}
	}

	for (int q = 0; q < Q; ++q) if (ans[q]) cout << ans[q] << '\n';
	return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4700 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 28 ms 5000 KB Output is correct
4 Correct 4 ms 4956 KB Output is correct
5 Correct 13 ms 5004 KB Output is correct
6 Correct 11 ms 4956 KB Output is correct
7 Correct 12 ms 4956 KB Output is correct
8 Correct 13 ms 4956 KB Output is correct
9 Correct 12 ms 4956 KB Output is correct
10 Correct 13 ms 4956 KB Output is correct
11 Correct 12 ms 4952 KB Output is correct
12 Correct 12 ms 4956 KB Output is correct
13 Correct 17 ms 5164 KB Output is correct
14 Correct 17 ms 4952 KB Output is correct
15 Correct 14 ms 4956 KB Output is correct
16 Correct 12 ms 4956 KB Output is correct
17 Correct 12 ms 5004 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 864 ms 10204 KB Output is correct
2 Correct 918 ms 10316 KB Output is correct
3 Correct 905 ms 10252 KB Output is correct
4 Correct 878 ms 10328 KB Output is correct
5 Correct 874 ms 10276 KB Output is correct
6 Correct 1024 ms 9856 KB Output is correct
7 Correct 1053 ms 9852 KB Output is correct
8 Correct 1026 ms 10032 KB Output is correct
9 Correct 29 ms 6480 KB Output is correct
10 Correct 848 ms 8968 KB Output is correct
11 Correct 886 ms 8920 KB Output is correct
12 Correct 646 ms 9040 KB Output is correct
13 Correct 732 ms 10252 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 677 ms 9244 KB Output is correct
2 Correct 469 ms 7404 KB Output is correct
3 Correct 737 ms 9172 KB Output is correct
4 Correct 664 ms 9288 KB Output is correct
5 Correct 29 ms 6484 KB Output is correct
6 Correct 716 ms 9172 KB Output is correct
7 Correct 649 ms 9100 KB Output is correct
8 Correct 577 ms 9180 KB Output is correct
9 Correct 426 ms 9024 KB Output is correct
10 Correct 403 ms 8644 KB Output is correct
11 Correct 503 ms 9036 KB Output is correct
12 Correct 447 ms 9072 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1043 ms 11660 KB Output is correct
2 Correct 30 ms 6280 KB Output is correct
3 Correct 116 ms 9516 KB Output is correct
4 Correct 133 ms 9736 KB Output is correct
5 Correct 1237 ms 9952 KB Output is correct
6 Correct 1068 ms 11564 KB Output is correct
7 Correct 1245 ms 10288 KB Output is correct
8 Correct 492 ms 8956 KB Output is correct
9 Correct 512 ms 9068 KB Output is correct
10 Correct 508 ms 8956 KB Output is correct
11 Correct 802 ms 10844 KB Output is correct
12 Correct 771 ms 10720 KB Output is correct
13 Correct 791 ms 10452 KB Output is correct
14 Correct 1202 ms 10328 KB Output is correct
15 Correct 1226 ms 9984 KB Output is correct
16 Correct 1067 ms 11400 KB Output is correct
17 Correct 1094 ms 11408 KB Output is correct
18 Correct 1042 ms 11712 KB Output is correct
19 Correct 1103 ms 11516 KB Output is correct
20 Correct 887 ms 10672 KB Output is correct
21 Correct 899 ms 10552 KB Output is correct
22 Correct 1048 ms 11204 KB Output is correct
23 Correct 1002 ms 9808 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 864 ms 10204 KB Output is correct
2 Correct 918 ms 10316 KB Output is correct
3 Correct 905 ms 10252 KB Output is correct
4 Correct 878 ms 10328 KB Output is correct
5 Correct 874 ms 10276 KB Output is correct
6 Correct 1024 ms 9856 KB Output is correct
7 Correct 1053 ms 9852 KB Output is correct
8 Correct 1026 ms 10032 KB Output is correct
9 Correct 29 ms 6480 KB Output is correct
10 Correct 848 ms 8968 KB Output is correct
11 Correct 886 ms 8920 KB Output is correct
12 Correct 646 ms 9040 KB Output is correct
13 Correct 732 ms 10252 KB Output is correct
14 Correct 677 ms 9244 KB Output is correct
15 Correct 469 ms 7404 KB Output is correct
16 Correct 737 ms 9172 KB Output is correct
17 Correct 664 ms 9288 KB Output is correct
18 Correct 29 ms 6484 KB Output is correct
19 Correct 716 ms 9172 KB Output is correct
20 Correct 649 ms 9100 KB Output is correct
21 Correct 577 ms 9180 KB Output is correct
22 Correct 426 ms 9024 KB Output is correct
23 Correct 403 ms 8644 KB Output is correct
24 Correct 503 ms 9036 KB Output is correct
25 Correct 447 ms 9072 KB Output is correct
26 Correct 884 ms 9972 KB Output is correct
27 Correct 1089 ms 9824 KB Output is correct
28 Correct 977 ms 10028 KB Output is correct
29 Correct 775 ms 10048 KB Output is correct
30 Correct 1064 ms 9880 KB Output is correct
31 Correct 1016 ms 9900 KB Output is correct
32 Correct 1058 ms 10200 KB Output is correct
33 Correct 919 ms 10416 KB Output is correct
34 Correct 934 ms 10204 KB Output is correct
35 Correct 942 ms 10308 KB Output is correct
36 Correct 765 ms 10100 KB Output is correct
37 Correct 754 ms 10308 KB Output is correct
38 Correct 767 ms 10364 KB Output is correct
39 Correct 567 ms 9304 KB Output is correct
40 Correct 574 ms 9340 KB Output is correct
41 Correct 556 ms 9292 KB Output is correct
42 Correct 611 ms 10304 KB Output is correct
43 Correct 598 ms 10248 KB Output is correct
44 Correct 601 ms 10388 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4700 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 28 ms 5000 KB Output is correct
4 Correct 4 ms 4956 KB Output is correct
5 Correct 13 ms 5004 KB Output is correct
6 Correct 11 ms 4956 KB Output is correct
7 Correct 12 ms 4956 KB Output is correct
8 Correct 13 ms 4956 KB Output is correct
9 Correct 12 ms 4956 KB Output is correct
10 Correct 13 ms 4956 KB Output is correct
11 Correct 12 ms 4952 KB Output is correct
12 Correct 12 ms 4956 KB Output is correct
13 Correct 17 ms 5164 KB Output is correct
14 Correct 17 ms 4952 KB Output is correct
15 Correct 14 ms 4956 KB Output is correct
16 Correct 12 ms 4956 KB Output is correct
17 Correct 12 ms 5004 KB Output is correct
18 Correct 864 ms 10204 KB Output is correct
19 Correct 918 ms 10316 KB Output is correct
20 Correct 905 ms 10252 KB Output is correct
21 Correct 878 ms 10328 KB Output is correct
22 Correct 874 ms 10276 KB Output is correct
23 Correct 1024 ms 9856 KB Output is correct
24 Correct 1053 ms 9852 KB Output is correct
25 Correct 1026 ms 10032 KB Output is correct
26 Correct 29 ms 6480 KB Output is correct
27 Correct 848 ms 8968 KB Output is correct
28 Correct 886 ms 8920 KB Output is correct
29 Correct 646 ms 9040 KB Output is correct
30 Correct 732 ms 10252 KB Output is correct
31 Correct 677 ms 9244 KB Output is correct
32 Correct 469 ms 7404 KB Output is correct
33 Correct 737 ms 9172 KB Output is correct
34 Correct 664 ms 9288 KB Output is correct
35 Correct 29 ms 6484 KB Output is correct
36 Correct 716 ms 9172 KB Output is correct
37 Correct 649 ms 9100 KB Output is correct
38 Correct 577 ms 9180 KB Output is correct
39 Correct 426 ms 9024 KB Output is correct
40 Correct 403 ms 8644 KB Output is correct
41 Correct 503 ms 9036 KB Output is correct
42 Correct 447 ms 9072 KB Output is correct
43 Correct 1043 ms 11660 KB Output is correct
44 Correct 30 ms 6280 KB Output is correct
45 Correct 116 ms 9516 KB Output is correct
46 Correct 133 ms 9736 KB Output is correct
47 Correct 1237 ms 9952 KB Output is correct
48 Correct 1068 ms 11564 KB Output is correct
49 Correct 1245 ms 10288 KB Output is correct
50 Correct 492 ms 8956 KB Output is correct
51 Correct 512 ms 9068 KB Output is correct
52 Correct 508 ms 8956 KB Output is correct
53 Correct 802 ms 10844 KB Output is correct
54 Correct 771 ms 10720 KB Output is correct
55 Correct 791 ms 10452 KB Output is correct
56 Correct 1202 ms 10328 KB Output is correct
57 Correct 1226 ms 9984 KB Output is correct
58 Correct 1067 ms 11400 KB Output is correct
59 Correct 1094 ms 11408 KB Output is correct
60 Correct 1042 ms 11712 KB Output is correct
61 Correct 1103 ms 11516 KB Output is correct
62 Correct 887 ms 10672 KB Output is correct
63 Correct 899 ms 10552 KB Output is correct
64 Correct 1048 ms 11204 KB Output is correct
65 Correct 1002 ms 9808 KB Output is correct
66 Correct 884 ms 9972 KB Output is correct
67 Correct 1089 ms 9824 KB Output is correct
68 Correct 977 ms 10028 KB Output is correct
69 Correct 775 ms 10048 KB Output is correct
70 Correct 1064 ms 9880 KB Output is correct
71 Correct 1016 ms 9900 KB Output is correct
72 Correct 1058 ms 10200 KB Output is correct
73 Correct 919 ms 10416 KB Output is correct
74 Correct 934 ms 10204 KB Output is correct
75 Correct 942 ms 10308 KB Output is correct
76 Correct 765 ms 10100 KB Output is correct
77 Correct 754 ms 10308 KB Output is correct
78 Correct 767 ms 10364 KB Output is correct
79 Correct 567 ms 9304 KB Output is correct
80 Correct 574 ms 9340 KB Output is correct
81 Correct 556 ms 9292 KB Output is correct
82 Correct 611 ms 10304 KB Output is correct
83 Correct 598 ms 10248 KB Output is correct
84 Correct 601 ms 10388 KB Output is correct
85 Correct 1496 ms 13176 KB Output is correct
86 Correct 153 ms 9624 KB Output is correct
87 Correct 157 ms 10000 KB Output is correct
88 Correct 1602 ms 11140 KB Output is correct
89 Correct 1522 ms 13136 KB Output is correct
90 Correct 1606 ms 11112 KB Output is correct
91 Correct 1048 ms 9952 KB Output is correct
92 Correct 964 ms 10060 KB Output is correct
93 Correct 1131 ms 10024 KB Output is correct
94 Correct 1318 ms 11800 KB Output is correct
95 Correct 1260 ms 12136 KB Output is correct
96 Correct 1333 ms 11740 KB Output is correct
97 Correct 1321 ms 10196 KB Output is correct
98 Correct 1432 ms 11388 KB Output is correct
99 Correct 1541 ms 12824 KB Output is correct
100 Correct 1529 ms 12960 KB Output is correct
101 Correct 1534 ms 12672 KB Output is correct
102 Correct 1568 ms 12920 KB Output is correct
103 Correct 1468 ms 11804 KB Output is correct
104 Correct 1476 ms 11812 KB Output is correct
105 Correct 1194 ms 12132 KB Output is correct
106 Correct 971 ms 11872 KB Output is correct
107 Correct 1073 ms 11004 KB Output is correct
108 Correct 1553 ms 12136 KB Output is correct
109 Correct 1486 ms 10608 KB Output is correct