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Submission #260446

# Submission time Handle Problem Language Result Execution time Memory
260446 2020-08-10T09:20:35 Z islingr Bridges (APIO19_bridges) C++17
100 / 100
 2750 ms 52388 KB 
#include <bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for (auto i = (a); i < (b); ++i)
#define eb(x...) emplace_back(x)
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) int((x).size())

const int N = 1 << 16, 	M = 1 << 17, Q = M, B = 1 << 10;

int nxt[N], sz[N]; stack<int> save;
int head(int u) { return nxt[u] < 0 ? u : head(nxt[u]); }
void unite(int u, int v) {
	u = head(u); v = head(v);
	if (u == v) return save.push(-1);
	if (sz[u] > sz[v]) swap(u, v);
	nxt[u] = v; sz[v] += sz[u]; save.push(u);
}
void rollback() {
	int u = save.top(); save.pop();
	if (u < 0) return;
	sz[nxt[u]] -= sz[u]; nxt[u] = -1;
}

int u[M], v[M], w[M], ord[M];
short t[Q]; int b[Q], c[Q];

int ans[Q];

bool changed[M];
vector<int> changed_edges;
vector<tuple<int, int, int>> queries;
vector<pair<int, int>> weights[M];

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	int n, m;
	cin >> n >> m;
	rep(e, 0, m) cin >> u[e] >> v[e] >> w[e], --u[e], --v[e];

	int q; cin >> q;
	rep(i, 0, q) cin >> t[i] >> b[i] >> c[i], --b[i], --t[i];

	for (int l = 0, r = 0; r = min(l + B, q), l < q; l += B) {
		fill(nxt, nxt + n, -1); fill(sz, sz + n, 1);
		fill(changed, changed + m, false); changed_edges.clear();
		queries.clear();
		iota(ord, ord + m, 0); sort(ord, ord + m, [&](int x, int y) { return w[x] > w[y]; });

		rep(i, l, r)
			if (t[i]) queries.eb(c[i], b[i], i);
			else changed[b[i]] = true;
		
		rep(e, 0, m) if (changed[e]) weights[e] = {{w[e], 0}}, changed_edges.eb(e);
		rep(i, l, r) if (!t[i]) weights[b[i]].eb(c[i], i);
		sort(rall(queries));

		int e = 0;
		for (auto &[z, s, t] : queries) {
			while (e < m && z <= w[ord[e]]) { if (!changed[ord[e]]) unite(u[ord[e]], v[ord[e]]); ++e; }
			int dsu_changes = 0;
			for (auto e : changed_edges) {
				int c = 0;
				while (c < sz(weights[e]) && weights[e][c].second <= t) ++c;
				--c; if (z <= weights[e][c].first) unite(u[e], v[e]), ++dsu_changes;
			}
			ans[t] = sz[head(s)];
			while (dsu_changes--) rollback();
		}
		
		rep(i, l, r) if (!t[i]) w[b[i]] = c[i];
	}
	rep(i, 0, q) if (t[i]) cout << ans[i] << '\n';
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3456 KB Output is correct
2 Correct 3 ms 3456 KB Output is correct
3 Correct 49 ms 3960 KB Output is correct
4 Correct 7 ms 3840 KB Output is correct
5 Correct 20 ms 3840 KB Output is correct
6 Correct 21 ms 3832 KB Output is correct
7 Correct 21 ms 3712 KB Output is correct
8 Correct 20 ms 3840 KB Output is correct
9 Correct 25 ms 3744 KB Output is correct
10 Correct 20 ms 3840 KB Output is correct
11 Correct 20 ms 3840 KB Output is correct
12 Correct 21 ms 3832 KB Output is correct
13 Correct 28 ms 3840 KB Output is correct
14 Correct 26 ms 3840 KB Output is correct
15 Correct 23 ms 3840 KB Output is correct
16 Correct 21 ms 3968 KB Output is correct
17 Correct 22 ms 3712 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1538 ms 29912 KB Output is correct
2 Correct 1528 ms 29868 KB Output is correct
3 Correct 1527 ms 29900 KB Output is correct
4 Correct 1532 ms 30124 KB Output is correct
5 Correct 1544 ms 30124 KB Output is correct
6 Correct 2177 ms 29928 KB Output is correct
7 Correct 2196 ms 29956 KB Output is correct
8 Correct 2212 ms 29952 KB Output is correct
9 Correct 48 ms 6392 KB Output is correct
10 Correct 1285 ms 28972 KB Output is correct
11 Correct 1211 ms 28972 KB Output is correct
12 Correct 1309 ms 29424 KB Output is correct
13 Correct 1296 ms 30008 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1294 ms 22072 KB Output is correct
2 Correct 917 ms 10336 KB Output is correct
3 Correct 1472 ms 21960 KB Output is correct
4 Correct 1271 ms 22216 KB Output is correct
5 Correct 49 ms 6396 KB Output is correct
6 Correct 1396 ms 22064 KB Output is correct
7 Correct 1186 ms 22088 KB Output is correct
8 Correct 1069 ms 21896 KB Output is correct
9 Correct 786 ms 21684 KB Output is correct
10 Correct 718 ms 21640 KB Output is correct
11 Correct 847 ms 21896 KB Output is correct
12 Correct 795 ms 21768 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1646 ms 51472 KB Output is correct
2 Correct 49 ms 6392 KB Output is correct
3 Correct 183 ms 11384 KB Output is correct
4 Correct 91 ms 11384 KB Output is correct
5 Correct 827 ms 50056 KB Output is correct
6 Correct 1634 ms 51544 KB Output is correct
7 Correct 832 ms 49912 KB Output is correct
8 Correct 760 ms 29228 KB Output is correct
9 Correct 765 ms 29352 KB Output is correct
10 Correct 755 ms 29100 KB Output is correct
11 Correct 1233 ms 40152 KB Output is correct
12 Correct 1188 ms 40532 KB Output is correct
13 Correct 1224 ms 40296 KB Output is correct
14 Correct 735 ms 50044 KB Output is correct
15 Correct 821 ms 50288 KB Output is correct
16 Correct 1663 ms 51032 KB Output is correct
17 Correct 1684 ms 50880 KB Output is correct
18 Correct 1661 ms 51272 KB Output is correct
19 Correct 1635 ms 51096 KB Output is correct
20 Correct 1357 ms 44128 KB Output is correct
21 Correct 1374 ms 44088 KB Output is correct
22 Correct 1593 ms 49272 KB Output is correct
23 Correct 934 ms 41468 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1538 ms 29912 KB Output is correct
2 Correct 1528 ms 29868 KB Output is correct
3 Correct 1527 ms 29900 KB Output is correct
4 Correct 1532 ms 30124 KB Output is correct
5 Correct 1544 ms 30124 KB Output is correct
6 Correct 2177 ms 29928 KB Output is correct
7 Correct 2196 ms 29956 KB Output is correct
8 Correct 2212 ms 29952 KB Output is correct
9 Correct 48 ms 6392 KB Output is correct
10 Correct 1285 ms 28972 KB Output is correct
11 Correct 1211 ms 28972 KB Output is correct
12 Correct 1309 ms 29424 KB Output is correct
13 Correct 1296 ms 30008 KB Output is correct
14 Correct 1294 ms 22072 KB Output is correct
15 Correct 917 ms 10336 KB Output is correct
16 Correct 1472 ms 21960 KB Output is correct
17 Correct 1271 ms 22216 KB Output is correct
18 Correct 49 ms 6396 KB Output is correct
19 Correct 1396 ms 22064 KB Output is correct
20 Correct 1186 ms 22088 KB Output is correct
21 Correct 1069 ms 21896 KB Output is correct
22 Correct 786 ms 21684 KB Output is correct
23 Correct 718 ms 21640 KB Output is correct
24 Correct 847 ms 21896 KB Output is correct
25 Correct 795 ms 21768 KB Output is correct
26 Correct 1619 ms 30076 KB Output is correct
27 Correct 1972 ms 29744 KB Output is correct
28 Correct 1623 ms 29996 KB Output is correct
29 Correct 1261 ms 29708 KB Output is correct
30 Correct 1965 ms 29868 KB Output is correct
31 Correct 1912 ms 29808 KB Output is correct
32 Correct 1978 ms 29976 KB Output is correct
33 Correct 1597 ms 29868 KB Output is correct
34 Correct 1620 ms 29992 KB Output is correct
35 Correct 1617 ms 30120 KB Output is correct
36 Correct 1350 ms 29808 KB Output is correct
37 Correct 1306 ms 29976 KB Output is correct
38 Correct 1263 ms 29864 KB Output is correct
39 Correct 930 ms 29448 KB Output is correct
40 Correct 914 ms 29484 KB Output is correct
41 Correct 921 ms 29408 KB Output is correct
42 Correct 977 ms 29352 KB Output is correct
43 Correct 977 ms 29388 KB Output is correct
44 Correct 978 ms 29228 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3456 KB Output is correct
2 Correct 3 ms 3456 KB Output is correct
3 Correct 49 ms 3960 KB Output is correct
4 Correct 7 ms 3840 KB Output is correct
5 Correct 20 ms 3840 KB Output is correct
6 Correct 21 ms 3832 KB Output is correct
7 Correct 21 ms 3712 KB Output is correct
8 Correct 20 ms 3840 KB Output is correct
9 Correct 25 ms 3744 KB Output is correct
10 Correct 20 ms 3840 KB Output is correct
11 Correct 20 ms 3840 KB Output is correct
12 Correct 21 ms 3832 KB Output is correct
13 Correct 28 ms 3840 KB Output is correct
14 Correct 26 ms 3840 KB Output is correct
15 Correct 23 ms 3840 KB Output is correct
16 Correct 21 ms 3968 KB Output is correct
17 Correct 22 ms 3712 KB Output is correct
18 Correct 1538 ms 29912 KB Output is correct
19 Correct 1528 ms 29868 KB Output is correct
20 Correct 1527 ms 29900 KB Output is correct
21 Correct 1532 ms 30124 KB Output is correct
22 Correct 1544 ms 30124 KB Output is correct
23 Correct 2177 ms 29928 KB Output is correct
24 Correct 2196 ms 29956 KB Output is correct
25 Correct 2212 ms 29952 KB Output is correct
26 Correct 48 ms 6392 KB Output is correct
27 Correct 1285 ms 28972 KB Output is correct
28 Correct 1211 ms 28972 KB Output is correct
29 Correct 1309 ms 29424 KB Output is correct
30 Correct 1296 ms 30008 KB Output is correct
31 Correct 1294 ms 22072 KB Output is correct
32 Correct 917 ms 10336 KB Output is correct
33 Correct 1472 ms 21960 KB Output is correct
34 Correct 1271 ms 22216 KB Output is correct
35 Correct 49 ms 6396 KB Output is correct
36 Correct 1396 ms 22064 KB Output is correct
37 Correct 1186 ms 22088 KB Output is correct
38 Correct 1069 ms 21896 KB Output is correct
39 Correct 786 ms 21684 KB Output is correct
40 Correct 718 ms 21640 KB Output is correct
41 Correct 847 ms 21896 KB Output is correct
42 Correct 795 ms 21768 KB Output is correct
43 Correct 1646 ms 51472 KB Output is correct
44 Correct 49 ms 6392 KB Output is correct
45 Correct 183 ms 11384 KB Output is correct
46 Correct 91 ms 11384 KB Output is correct
47 Correct 827 ms 50056 KB Output is correct
48 Correct 1634 ms 51544 KB Output is correct
49 Correct 832 ms 49912 KB Output is correct
50 Correct 760 ms 29228 KB Output is correct
51 Correct 765 ms 29352 KB Output is correct
52 Correct 755 ms 29100 KB Output is correct
53 Correct 1233 ms 40152 KB Output is correct
54 Correct 1188 ms 40532 KB Output is correct
55 Correct 1224 ms 40296 KB Output is correct
56 Correct 735 ms 50044 KB Output is correct
57 Correct 821 ms 50288 KB Output is correct
58 Correct 1663 ms 51032 KB Output is correct
59 Correct 1684 ms 50880 KB Output is correct
60 Correct 1661 ms 51272 KB Output is correct
61 Correct 1635 ms 51096 KB Output is correct
62 Correct 1357 ms 44128 KB Output is correct
63 Correct 1374 ms 44088 KB Output is correct
64 Correct 1593 ms 49272 KB Output is correct
65 Correct 934 ms 41468 KB Output is correct
66 Correct 1619 ms 30076 KB Output is correct
67 Correct 1972 ms 29744 KB Output is correct
68 Correct 1623 ms 29996 KB Output is correct
69 Correct 1261 ms 29708 KB Output is correct
70 Correct 1965 ms 29868 KB Output is correct
71 Correct 1912 ms 29808 KB Output is correct
72 Correct 1978 ms 29976 KB Output is correct
73 Correct 1597 ms 29868 KB Output is correct
74 Correct 1620 ms 29992 KB Output is correct
75 Correct 1617 ms 30120 KB Output is correct
76 Correct 1350 ms 29808 KB Output is correct
77 Correct 1306 ms 29976 KB Output is correct
78 Correct 1263 ms 29864 KB Output is correct
79 Correct 930 ms 29448 KB Output is correct
80 Correct 914 ms 29484 KB Output is correct
81 Correct 921 ms 29408 KB Output is correct
82 Correct 977 ms 29352 KB Output is correct
83 Correct 977 ms 29388 KB Output is correct
84 Correct 978 ms 29228 KB Output is correct
85 Correct 2523 ms 52388 KB Output is correct
86 Correct 253 ms 11360 KB Output is correct
87 Correct 187 ms 11640 KB Output is correct
88 Correct 1728 ms 51068 KB Output is correct
89 Correct 2503 ms 52208 KB Output is correct
90 Correct 1716 ms 50508 KB Output is correct
91 Correct 1677 ms 29784 KB Output is correct
92 Correct 1691 ms 29888 KB Output is correct
93 Correct 2351 ms 30060 KB Output is correct
94 Correct 2179 ms 41000 KB Output is correct
95 Correct 2111 ms 41168 KB Output is correct
96 Correct 2539 ms 40944 KB Output is correct
97 Correct 1099 ms 50172 KB Output is correct
98 Correct 1236 ms 50548 KB Output is correct
99 Correct 2644 ms 51624 KB Output is correct
100 Correct 2595 ms 51576 KB Output is correct
101 Correct 2664 ms 52028 KB Output is correct
102 Correct 2601 ms 51880 KB Output is correct
103 Correct 2750 ms 44804 KB Output is correct
104 Correct 2641 ms 44644 KB Output is correct
105 Correct 1923 ms 44548 KB Output is correct
106 Correct 1612 ms 40872 KB Output is correct
107 Correct 1795 ms 44208 KB Output is correct
108 Correct 2658 ms 49948 KB Output is correct
109 Correct 2088 ms 42036 KB Output is correct