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Submission #1054011

# Submission time Handle Problem Language Result Execution time Memory
1054011 2024-08-12T04:19:37 Z Gromp15 Simurgh (IOI17_simurgh) C++17
100 / 100
 179 ms 6224 KB 
#include <bits/stdc++.h>
#include "simurgh.h"
#define ar array
using namespace std;
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }

struct dsu {
	vector<int> p, size;
	dsu(int n) : p(n), size(n, 1) {
		iota(all(p), 0);
	}
	int get(int v) {
		return v == p[v] ? v : p[v] = get(p[v]);
	}
	bool merge(int a, int b) {
		a = get(a), b = get(b);
		if (a == b) return 0;
		if (size[a] < size[b]) swap(a, b);
		size[a] += size[b], p[b] = a;
		return 1;
	}
};

vector<int> find_roads(int n, vector<int> u, vector<int> v) {
	int m = sz(u);
	vector<vector<ar<int, 2>>> adj(n);
	for (int i = 0; i < m; i++) {
		adj[u[i]].push_back({v[i], i});
		adj[v[i]].push_back({u[i], i});
	}
	vector<int> type(m, -1);
	vector<ar<int, 2>> p(n, {-1, -1});
	vector<int> tin(n), low(n);
	int timer = 0;
	vector<int> edges;
	auto dfs = [&](auto&& s, int v) -> void {
		tin[v] = low[v] = ++timer;
		for (auto [u, idx] : adj[v]) if (u != p[v][0]) {
			if (!tin[u]) {
				p[u] = {v, idx}, edges.emplace_back(idx), s(s, u);
				ckmin(low[v], low[u]);
				if (low[u] > tin[v]) type[idx] = 1;
			}
			else {
				ckmin(low[v], tin[u]);
			}
		}
	};
	dfs(dfs, 0);
	int orig = count_common_roads(edges);
	for (int v = 0; v < n; v++) {
		for (auto [u, idx] : adj[v]) if (u != p[v][0] && tin[u] < tin[v]) {
			//cout << "ASK " << v << " " << u << '\n';
			vector<int> cur_edges;
			for (int tmp = v; tmp != u; tmp = p[tmp][0]) {
				int eidx = p[tmp][1];
				cur_edges.emplace_back(eidx);
			}
			int not_gold = -1, gold = -1;
			bool skip = 1;
			for (int e : cur_edges) { 
				if (!~type[e]) skip = 0;
				if (!type[e]) not_gold = e;
				if (type[e] == 1) gold = e;
			}
			if (skip) continue;
			if (~not_gold) {
				//cout << "Hi not gold " << not_gold << '\n';
				int orig2 = -1;
				{
					auto edges2 = edges;
					edges2.erase(find(all(edges2), not_gold));
					edges2.emplace_back(idx);
					orig2 = count_common_roads(edges2);
				}
				for (int e : cur_edges) if (!~type[e]) {
					auto edges2 = edges;
					edges2.erase(find(all(edges2), e));
					edges2.emplace_back(idx);
					type[e] = count_common_roads(edges2) < orig2;
				}
			}
			else if (~gold) {
				//cout << "Hi " << gold << '\n';
				int orig2 = -1;
				{
					auto edges2 = edges;
					edges2.erase(find(all(edges2), gold));
					edges2.emplace_back(idx);
					orig2 = count_common_roads(edges2);
				}
				for (int e : cur_edges) if (!~type[e]) {
					auto edges2 = edges;
					edges2.erase(find(all(edges2), e));
					edges2.emplace_back(idx);
					type[e] = count_common_roads(edges2) == orig2;
				}
			}
			else {
				int mn = orig, mx = orig;
				vector<int> val(sz(cur_edges));
				assert(sz(val) > 1);
				for (int i = 0; i < sz(cur_edges); i++) {
					int e = cur_edges[i];
					auto edges2 = edges;
					edges2.erase(find(all(edges2), e));
					edges2.emplace_back(idx);
					int res = count_common_roads(edges2);
					ckmin(mn, res), ckmax(mx, res);
					val[i] = res;
				}
				/*
				cout << "MN " << mn << " " << mx << '\n';
				cout << "Edges\n";
				for (int e : cur_edges) cout << e << " ";
				cout << '\n';
				*/
				if (mn == mx) {
					for (int e : cur_edges) type[e] = 0;
				}
				else {
					assert(mx - 1 == mn);
					for (int i = 0; i < sz(cur_edges); i++) {
						//cout << "CUR " << cur_edges[i] << " " << val[i] << '\n';
						type[cur_edges[i]] = val[i] < mx;
					}
				}
			}
		}
	}
	//for (int i = 0; i < m; i++) cout << u[i] << " " << v[i] << " " << type[i] << '\n';
	auto ask = [&](vector<int> ve) {
		dsu d(n);
		vector<int> new_edges;
		for (int e : ve) {
			assert(d.merge(u[e], v[e]));
			new_edges.emplace_back(e);
		}
		int cnt = 0;
		for (int e : edges) {
			if (d.merge(u[e], v[e])) {
				new_edges.emplace_back(e);
				cnt += type[e];
			}
		}
		return count_common_roads(new_edges) > cnt;
	};
	vector<int> ans;
	for (int i = 1; i < n; i++) {
		vector<int> side;
		for (auto [u, idx] : adj[i]) if (u < i) side.emplace_back(idx);
		auto side2 = side;
		while (1) {
			if (side.empty() || !ask(side)) break;
			while (side.size() > 1) {
				vector<int> hf(side.begin(), side.begin() + side.size() / 2);
				if (ask(hf)) swap(side, hf);
				else side = vector<int>(side.begin() + side.size() / 2, side.end());
			}
			assert(side.size() == 1);
			ans.emplace_back(side[0]);
			side2.erase(find(all(side2), side[0]));
			side = side2;
		}
	}
	return ans;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB correct
2 Correct 0 ms 344 KB correct
3 Correct 0 ms 348 KB correct
4 Correct 0 ms 348 KB correct
5 Correct 0 ms 348 KB correct
6 Correct 0 ms 348 KB correct
7 Correct 0 ms 348 KB correct
8 Correct 0 ms 348 KB correct
9 Correct 0 ms 348 KB correct
10 Correct 0 ms 348 KB correct
11 Correct 0 ms 348 KB correct
12 Correct 0 ms 348 KB correct
13 Correct 0 ms 344 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB correct
2 Correct 0 ms 344 KB correct
3 Correct 0 ms 348 KB correct
4 Correct 0 ms 348 KB correct
5 Correct 0 ms 348 KB correct
6 Correct 0 ms 348 KB correct
7 Correct 0 ms 348 KB correct
8 Correct 0 ms 348 KB correct
9 Correct 0 ms 348 KB correct
10 Correct 0 ms 348 KB correct
11 Correct 0 ms 348 KB correct
12 Correct 0 ms 348 KB correct
13 Correct 0 ms 344 KB correct
14 Correct 2 ms 348 KB correct
15 Correct 1 ms 348 KB correct
16 Correct 1 ms 348 KB correct
17 Correct 1 ms 348 KB correct
18 Correct 1 ms 348 KB correct
19 Correct 1 ms 348 KB correct
20 Correct 1 ms 348 KB correct
21 Correct 1 ms 348 KB correct
22 Correct 1 ms 348 KB correct
23 Correct 1 ms 348 KB correct
24 Correct 1 ms 348 KB correct
25 Correct 1 ms 348 KB correct
26 Correct 1 ms 348 KB correct
27 Correct 1 ms 348 KB correct
28 Correct 0 ms 348 KB correct
29 Correct 0 ms 348 KB correct
30 Correct 1 ms 348 KB correct
31 Correct 1 ms 348 KB correct
32 Correct 1 ms 348 KB correct
33 Correct 1 ms 344 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB correct
2 Correct 0 ms 344 KB correct
3 Correct 0 ms 348 KB correct
4 Correct 0 ms 348 KB correct
5 Correct 0 ms 348 KB correct
6 Correct 0 ms 348 KB correct
7 Correct 0 ms 348 KB correct
8 Correct 0 ms 348 KB correct
9 Correct 0 ms 348 KB correct
10 Correct 0 ms 348 KB correct
11 Correct 0 ms 348 KB correct
12 Correct 0 ms 348 KB correct
13 Correct 0 ms 344 KB correct
14 Correct 2 ms 348 KB correct
15 Correct 1 ms 348 KB correct
16 Correct 1 ms 348 KB correct
17 Correct 1 ms 348 KB correct
18 Correct 1 ms 348 KB correct
19 Correct 1 ms 348 KB correct
20 Correct 1 ms 348 KB correct
21 Correct 1 ms 348 KB correct
22 Correct 1 ms 348 KB correct
23 Correct 1 ms 348 KB correct
24 Correct 1 ms 348 KB correct
25 Correct 1 ms 348 KB correct
26 Correct 1 ms 348 KB correct
27 Correct 1 ms 348 KB correct
28 Correct 0 ms 348 KB correct
29 Correct 0 ms 348 KB correct
30 Correct 1 ms 348 KB correct
31 Correct 1 ms 348 KB correct
32 Correct 1 ms 348 KB correct
33 Correct 1 ms 344 KB correct
34 Correct 28 ms 1804 KB correct
35 Correct 27 ms 1624 KB correct
36 Correct 21 ms 1624 KB correct
37 Correct 7 ms 344 KB correct
38 Correct 26 ms 1628 KB correct
39 Correct 25 ms 1628 KB correct
40 Correct 21 ms 1368 KB correct
41 Correct 30 ms 1800 KB correct
42 Correct 24 ms 1628 KB correct
43 Correct 16 ms 1116 KB correct
44 Correct 14 ms 860 KB correct
45 Correct 16 ms 1112 KB correct
46 Correct 16 ms 1000 KB correct
47 Correct 9 ms 728 KB correct
48 Correct 3 ms 476 KB correct
49 Correct 6 ms 348 KB correct
50 Correct 9 ms 736 KB correct
51 Correct 16 ms 896 KB correct
52 Correct 14 ms 860 KB correct
53 Correct 13 ms 860 KB correct
54 Correct 16 ms 1328 KB correct
55 Correct 18 ms 1152 KB correct
56 Correct 17 ms 1116 KB correct
57 Correct 18 ms 1140 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB correct
2 Correct 0 ms 348 KB correct
3 Correct 93 ms 4472 KB correct
4 Correct 157 ms 6160 KB correct
5 Correct 159 ms 6144 KB correct
6 Correct 144 ms 5976 KB correct
7 Correct 150 ms 5980 KB correct
8 Correct 154 ms 5980 KB correct
9 Correct 158 ms 5932 KB correct
10 Correct 165 ms 5980 KB correct
11 Correct 155 ms 5976 KB correct
12 Correct 160 ms 5980 KB correct
13 Correct 0 ms 348 KB correct
14 Correct 153 ms 6144 KB correct
15 Correct 160 ms 5980 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB correct
2 Correct 0 ms 344 KB correct
3 Correct 0 ms 348 KB correct
4 Correct 0 ms 348 KB correct
5 Correct 0 ms 348 KB correct
6 Correct 0 ms 348 KB correct
7 Correct 0 ms 348 KB correct
8 Correct 0 ms 348 KB correct
9 Correct 0 ms 348 KB correct
10 Correct 0 ms 348 KB correct
11 Correct 0 ms 348 KB correct
12 Correct 0 ms 348 KB correct
13 Correct 0 ms 344 KB correct
14 Correct 2 ms 348 KB correct
15 Correct 1 ms 348 KB correct
16 Correct 1 ms 348 KB correct
17 Correct 1 ms 348 KB correct
18 Correct 1 ms 348 KB correct
19 Correct 1 ms 348 KB correct
20 Correct 1 ms 348 KB correct
21 Correct 1 ms 348 KB correct
22 Correct 1 ms 348 KB correct
23 Correct 1 ms 348 KB correct
24 Correct 1 ms 348 KB correct
25 Correct 1 ms 348 KB correct
26 Correct 1 ms 348 KB correct
27 Correct 1 ms 348 KB correct
28 Correct 0 ms 348 KB correct
29 Correct 0 ms 348 KB correct
30 Correct 1 ms 348 KB correct
31 Correct 1 ms 348 KB correct
32 Correct 1 ms 348 KB correct
33 Correct 1 ms 344 KB correct
34 Correct 28 ms 1804 KB correct
35 Correct 27 ms 1624 KB correct
36 Correct 21 ms 1624 KB correct
37 Correct 7 ms 344 KB correct
38 Correct 26 ms 1628 KB correct
39 Correct 25 ms 1628 KB correct
40 Correct 21 ms 1368 KB correct
41 Correct 30 ms 1800 KB correct
42 Correct 24 ms 1628 KB correct
43 Correct 16 ms 1116 KB correct
44 Correct 14 ms 860 KB correct
45 Correct 16 ms 1112 KB correct
46 Correct 16 ms 1000 KB correct
47 Correct 9 ms 728 KB correct
48 Correct 3 ms 476 KB correct
49 Correct 6 ms 348 KB correct
50 Correct 9 ms 736 KB correct
51 Correct 16 ms 896 KB correct
52 Correct 14 ms 860 KB correct
53 Correct 13 ms 860 KB correct
54 Correct 16 ms 1328 KB correct
55 Correct 18 ms 1152 KB correct
56 Correct 17 ms 1116 KB correct
57 Correct 18 ms 1140 KB correct
58 Correct 0 ms 344 KB correct
59 Correct 0 ms 348 KB correct
60 Correct 93 ms 4472 KB correct
61 Correct 157 ms 6160 KB correct
62 Correct 159 ms 6144 KB correct
63 Correct 144 ms 5976 KB correct
64 Correct 150 ms 5980 KB correct
65 Correct 154 ms 5980 KB correct
66 Correct 158 ms 5932 KB correct
67 Correct 165 ms 5980 KB correct
68 Correct 155 ms 5976 KB correct
69 Correct 160 ms 5980 KB correct
70 Correct 0 ms 348 KB correct
71 Correct 153 ms 6144 KB correct
72 Correct 160 ms 5980 KB correct
73 Correct 1 ms 344 KB correct
74 Correct 157 ms 6100 KB correct
75 Correct 152 ms 6020 KB correct
76 Correct 69 ms 2396 KB correct
77 Correct 156 ms 6012 KB correct
78 Correct 171 ms 6224 KB correct
79 Correct 156 ms 5980 KB correct
80 Correct 151 ms 5984 KB correct
81 Correct 131 ms 5468 KB correct
82 Correct 179 ms 5980 KB correct
83 Correct 111 ms 3416 KB correct
84 Correct 94 ms 4300 KB correct
85 Correct 85 ms 3880 KB correct
86 Correct 65 ms 2648 KB correct
87 Correct 55 ms 2368 KB correct
88 Correct 52 ms 1624 KB correct
89 Correct 48 ms 1628 KB correct
90 Correct 44 ms 1552 KB correct
91 Correct 24 ms 600 KB correct
92 Correct 14 ms 528 KB correct
93 Correct 84 ms 3928 KB correct
94 Correct 69 ms 2652 KB correct
95 Correct 63 ms 2904 KB correct
96 Correct 45 ms 1624 KB correct
97 Correct 48 ms 1628 KB correct
98 Correct 52 ms 2140 KB correct
99 Correct 48 ms 1628 KB correct
100 Correct 31 ms 604 KB correct
101 Correct 15 ms 348 KB correct
102 Correct 98 ms 3352 KB correct
103 Correct 109 ms 3420 KB correct
104 Correct 99 ms 3332 KB correct
105 Correct 98 ms 3164 KB correct