Submission #260456

# Submission time Handle Problem Language Result Execution time Memory
260456 2020-08-10T10:00:58 Z islingr Bridges (APIO19_bridges) C++17
100 / 100
2550 ms 11332 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];
int head(int u) { return nxt[u] < 0 ? u : nxt[u] = head(nxt[u]); }
void unite(int u, int v) {
	u = head(u); v = head(v);
	if (u == v) return;
	if (sz[u] > sz[v]) swap(u, v);
	nxt[u] = v; sz[v] += sz[u];
}

int u[M], v[M], w[M], ord[M];
short t[Q]; int b[Q], c[Q], ans[Q];
bool changed[M];
vector<int> changed_edges, changed_nodes, g[N];
vector<tuple<int, int, int>> queries;
vector<pair<int, int>> weights[M];
bool vis[N];

void dfs(int u) { vis[u] = 1; for (int v : g[u]) if (!vis[v]) dfs(v); }

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], ord[e] = 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();
		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; }

			for (auto e : changed_edges) {
				int c = 0;
				while (c < sz(weights[e]) && weights[e][c].second <= t) ++c;
				if (z <= weights[e][--c].first) {
					int x = head(u[e]), y = head(v[e]);
					g[x].eb(y); g[y].eb(x);
					changed_nodes.eb(x); changed_nodes.eb(y);
				}
			}

			dfs(s = head(s)); vis[s] = 0; ans[t] = sz[s];
			for (int x : changed_nodes) {
				if (vis[x]) ans[t] += sz[x];
				g[x].clear(), vis[x] = 0;
			}
			changed_nodes.clear();
		}

		rep(i, l, r) if (!t[i]) w[b[i]] = c[i];
	}
	rep(i, 0, q) if (t[i]) cout << ans[i] << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 5 ms 4992 KB Output is correct
3 Correct 92 ms 5248 KB Output is correct
4 Correct 8 ms 5120 KB Output is correct
5 Correct 25 ms 5248 KB Output is correct
6 Correct 24 ms 5240 KB Output is correct
7 Correct 28 ms 5248 KB Output is correct
8 Correct 25 ms 5248 KB Output is correct
9 Correct 32 ms 5240 KB Output is correct
10 Correct 25 ms 5248 KB Output is correct
11 Correct 25 ms 5240 KB Output is correct
12 Correct 27 ms 5248 KB Output is correct
13 Correct 34 ms 5240 KB Output is correct
14 Correct 33 ms 5244 KB Output is correct
15 Correct 28 ms 5248 KB Output is correct
16 Correct 49 ms 5240 KB Output is correct
17 Correct 31 ms 5240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1893 ms 10332 KB Output is correct
2 Correct 1700 ms 10148 KB Output is correct
3 Correct 1738 ms 10064 KB Output is correct
4 Correct 1694 ms 10268 KB Output is correct
5 Correct 1703 ms 10104 KB Output is correct
6 Correct 2517 ms 9336 KB Output is correct
7 Correct 2320 ms 9336 KB Output is correct
8 Correct 2313 ms 9276 KB Output is correct
9 Correct 49 ms 6520 KB Output is correct
10 Correct 2057 ms 10112 KB Output is correct
11 Correct 1779 ms 10164 KB Output is correct
12 Correct 1140 ms 8584 KB Output is correct
13 Correct 1212 ms 9720 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1463 ms 9300 KB Output is correct
2 Correct 1283 ms 7416 KB Output is correct
3 Correct 1772 ms 9328 KB Output is correct
4 Correct 1432 ms 9104 KB Output is correct
5 Correct 49 ms 6588 KB Output is correct
6 Correct 1636 ms 9136 KB Output is correct
7 Correct 1322 ms 9188 KB Output is correct
8 Correct 1097 ms 9280 KB Output is correct
9 Correct 779 ms 8436 KB Output is correct
10 Correct 673 ms 8184 KB Output is correct
11 Correct 842 ms 9336 KB Output is correct
12 Correct 747 ms 9464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 893 ms 9004 KB Output is correct
2 Correct 49 ms 6524 KB Output is correct
3 Correct 108 ms 6904 KB Output is correct
4 Correct 74 ms 6904 KB Output is correct
5 Correct 641 ms 9080 KB Output is correct
6 Correct 822 ms 8944 KB Output is correct
7 Correct 598 ms 9052 KB Output is correct
8 Correct 427 ms 7928 KB Output is correct
9 Correct 417 ms 7960 KB Output is correct
10 Correct 418 ms 8056 KB Output is correct
11 Correct 700 ms 8412 KB Output is correct
12 Correct 672 ms 8408 KB Output is correct
13 Correct 753 ms 8552 KB Output is correct
14 Correct 601 ms 9108 KB Output is correct
15 Correct 601 ms 9260 KB Output is correct
16 Correct 910 ms 8972 KB Output is correct
17 Correct 934 ms 9080 KB Output is correct
18 Correct 935 ms 8960 KB Output is correct
19 Correct 905 ms 9016 KB Output is correct
20 Correct 829 ms 8900 KB Output is correct
21 Correct 830 ms 8952 KB Output is correct
22 Correct 862 ms 8992 KB Output is correct
23 Correct 652 ms 8824 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1893 ms 10332 KB Output is correct
2 Correct 1700 ms 10148 KB Output is correct
3 Correct 1738 ms 10064 KB Output is correct
4 Correct 1694 ms 10268 KB Output is correct
5 Correct 1703 ms 10104 KB Output is correct
6 Correct 2517 ms 9336 KB Output is correct
7 Correct 2320 ms 9336 KB Output is correct
8 Correct 2313 ms 9276 KB Output is correct
9 Correct 49 ms 6520 KB Output is correct
10 Correct 2057 ms 10112 KB Output is correct
11 Correct 1779 ms 10164 KB Output is correct
12 Correct 1140 ms 8584 KB Output is correct
13 Correct 1212 ms 9720 KB Output is correct
14 Correct 1463 ms 9300 KB Output is correct
15 Correct 1283 ms 7416 KB Output is correct
16 Correct 1772 ms 9328 KB Output is correct
17 Correct 1432 ms 9104 KB Output is correct
18 Correct 49 ms 6588 KB Output is correct
19 Correct 1636 ms 9136 KB Output is correct
20 Correct 1322 ms 9188 KB Output is correct
21 Correct 1097 ms 9280 KB Output is correct
22 Correct 779 ms 8436 KB Output is correct
23 Correct 673 ms 8184 KB Output is correct
24 Correct 842 ms 9336 KB Output is correct
25 Correct 747 ms 9464 KB Output is correct
26 Correct 1854 ms 10196 KB Output is correct
27 Correct 2422 ms 10176 KB Output is correct
28 Correct 1894 ms 10040 KB Output is correct
29 Correct 1244 ms 10220 KB Output is correct
30 Correct 2226 ms 10308 KB Output is correct
31 Correct 2317 ms 10232 KB Output is correct
32 Correct 2306 ms 10344 KB Output is correct
33 Correct 1901 ms 10432 KB Output is correct
34 Correct 1923 ms 10180 KB Output is correct
35 Correct 1916 ms 10232 KB Output is correct
36 Correct 1283 ms 10192 KB Output is correct
37 Correct 1338 ms 10080 KB Output is correct
38 Correct 1346 ms 10108 KB Output is correct
39 Correct 840 ms 8720 KB Output is correct
40 Correct 880 ms 8840 KB Output is correct
41 Correct 836 ms 8664 KB Output is correct
42 Correct 881 ms 10480 KB Output is correct
43 Correct 847 ms 10616 KB Output is correct
44 Correct 840 ms 10616 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 5 ms 4992 KB Output is correct
3 Correct 92 ms 5248 KB Output is correct
4 Correct 8 ms 5120 KB Output is correct
5 Correct 25 ms 5248 KB Output is correct
6 Correct 24 ms 5240 KB Output is correct
7 Correct 28 ms 5248 KB Output is correct
8 Correct 25 ms 5248 KB Output is correct
9 Correct 32 ms 5240 KB Output is correct
10 Correct 25 ms 5248 KB Output is correct
11 Correct 25 ms 5240 KB Output is correct
12 Correct 27 ms 5248 KB Output is correct
13 Correct 34 ms 5240 KB Output is correct
14 Correct 33 ms 5244 KB Output is correct
15 Correct 28 ms 5248 KB Output is correct
16 Correct 49 ms 5240 KB Output is correct
17 Correct 31 ms 5240 KB Output is correct
18 Correct 1893 ms 10332 KB Output is correct
19 Correct 1700 ms 10148 KB Output is correct
20 Correct 1738 ms 10064 KB Output is correct
21 Correct 1694 ms 10268 KB Output is correct
22 Correct 1703 ms 10104 KB Output is correct
23 Correct 2517 ms 9336 KB Output is correct
24 Correct 2320 ms 9336 KB Output is correct
25 Correct 2313 ms 9276 KB Output is correct
26 Correct 49 ms 6520 KB Output is correct
27 Correct 2057 ms 10112 KB Output is correct
28 Correct 1779 ms 10164 KB Output is correct
29 Correct 1140 ms 8584 KB Output is correct
30 Correct 1212 ms 9720 KB Output is correct
31 Correct 1463 ms 9300 KB Output is correct
32 Correct 1283 ms 7416 KB Output is correct
33 Correct 1772 ms 9328 KB Output is correct
34 Correct 1432 ms 9104 KB Output is correct
35 Correct 49 ms 6588 KB Output is correct
36 Correct 1636 ms 9136 KB Output is correct
37 Correct 1322 ms 9188 KB Output is correct
38 Correct 1097 ms 9280 KB Output is correct
39 Correct 779 ms 8436 KB Output is correct
40 Correct 673 ms 8184 KB Output is correct
41 Correct 842 ms 9336 KB Output is correct
42 Correct 747 ms 9464 KB Output is correct
43 Correct 893 ms 9004 KB Output is correct
44 Correct 49 ms 6524 KB Output is correct
45 Correct 108 ms 6904 KB Output is correct
46 Correct 74 ms 6904 KB Output is correct
47 Correct 641 ms 9080 KB Output is correct
48 Correct 822 ms 8944 KB Output is correct
49 Correct 598 ms 9052 KB Output is correct
50 Correct 427 ms 7928 KB Output is correct
51 Correct 417 ms 7960 KB Output is correct
52 Correct 418 ms 8056 KB Output is correct
53 Correct 700 ms 8412 KB Output is correct
54 Correct 672 ms 8408 KB Output is correct
55 Correct 753 ms 8552 KB Output is correct
56 Correct 601 ms 9108 KB Output is correct
57 Correct 601 ms 9260 KB Output is correct
58 Correct 910 ms 8972 KB Output is correct
59 Correct 934 ms 9080 KB Output is correct
60 Correct 935 ms 8960 KB Output is correct
61 Correct 905 ms 9016 KB Output is correct
62 Correct 829 ms 8900 KB Output is correct
63 Correct 830 ms 8952 KB Output is correct
64 Correct 862 ms 8992 KB Output is correct
65 Correct 652 ms 8824 KB Output is correct
66 Correct 1854 ms 10196 KB Output is correct
67 Correct 2422 ms 10176 KB Output is correct
68 Correct 1894 ms 10040 KB Output is correct
69 Correct 1244 ms 10220 KB Output is correct
70 Correct 2226 ms 10308 KB Output is correct
71 Correct 2317 ms 10232 KB Output is correct
72 Correct 2306 ms 10344 KB Output is correct
73 Correct 1901 ms 10432 KB Output is correct
74 Correct 1923 ms 10180 KB Output is correct
75 Correct 1916 ms 10232 KB Output is correct
76 Correct 1283 ms 10192 KB Output is correct
77 Correct 1338 ms 10080 KB Output is correct
78 Correct 1346 ms 10108 KB Output is correct
79 Correct 840 ms 8720 KB Output is correct
80 Correct 880 ms 8840 KB Output is correct
81 Correct 836 ms 8664 KB Output is correct
82 Correct 881 ms 10480 KB Output is correct
83 Correct 847 ms 10616 KB Output is correct
84 Correct 840 ms 10616 KB Output is correct
85 Correct 2485 ms 11224 KB Output is correct
86 Correct 259 ms 7160 KB Output is correct
87 Correct 197 ms 7032 KB Output is correct
88 Correct 1948 ms 10940 KB Output is correct
89 Correct 2550 ms 11124 KB Output is correct
90 Correct 1914 ms 10516 KB Output is correct
91 Correct 1907 ms 10164 KB Output is correct
92 Correct 1997 ms 10244 KB Output is correct
93 Correct 2462 ms 9472 KB Output is correct
94 Correct 2132 ms 11224 KB Output is correct
95 Correct 2108 ms 10820 KB Output is correct
96 Correct 2439 ms 9976 KB Output is correct
97 Correct 1104 ms 9512 KB Output is correct
98 Correct 1316 ms 11012 KB Output is correct
99 Correct 2360 ms 11092 KB Output is correct
100 Correct 2331 ms 11220 KB Output is correct
101 Correct 2441 ms 11332 KB Output is correct
102 Correct 2468 ms 11308 KB Output is correct
103 Correct 2379 ms 9936 KB Output is correct
104 Correct 2335 ms 10168 KB Output is correct
105 Correct 1548 ms 10360 KB Output is correct
106 Correct 1180 ms 10744 KB Output is correct
107 Correct 1559 ms 9080 KB Output is correct
108 Correct 2448 ms 10232 KB Output is correct
109 Correct 1970 ms 9720 KB Output is correct