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Submission #742722

# Submission time Handle Problem Language Result Execution time Memory
742722 2023-05-16T19:30:07 Z sidon Simurgh (IOI17_simurgh) C++17
100 / 100
 1320 ms 137432 KB 
#include <bits/stdc++.h>
#include "simurgh.h"
using namespace std;

struct UFDS {
	vector<int> e;
	int operator()(int u) {
		return e[u] < 0 ? u : e[u] = (*this)(e[u]);
	}
	bool operator()(int u, int v) {
		u = (*this)(u), v = (*this)(v);
		if(u == v) return false;
		if(e[u] > e[v]) swap(u, v);
		e[u] += e[v], e[v] = u;
		return true;
	}
	UFDS(int n) { e.assign(n, -1); }
};

const int Z = 500, NE = Z * Z / 2;

int vis[NE], t[NE], backedgeFrom[NE];
vector<int> st;
vector<array<int, 2>> g[Z], s, h[NE], q;
map<int, vector<int>> backedges;

void dfs(int u, int p) {
	vis[u] = 1;
	for(auto [v, i] : g[u]) if(v != p) {
		if(vis[v] == 1) {
			for(int j = size(s); j--; ) {
				backedges[i].push_back(s[j][1]);
				backedgeFrom[s[j][1]] = i;
				t[s[j][1]] = -1;
				if(s[j][0] == v) break;
			}
		} else if(!vis[v]) {
			s.push_back({u, i});
			st.push_back(i);
			t[i] = 1;
			dfs(v, u);
			s.pop_back();
		}
	}
	vis[u] = 2;
}

int ask(int u, int v) {
	for(int &j : st) if(j == u) j = v;
	int res = count_common_roads(st);
	for(int &j : st) if(j == v) j = u;

	return res;
}

void color(int u) {
	for(auto [v, w] : h[u]) if(t[v] < 0) {
		t[v] = t[u] ^ w;
		color(v);
	}
}

vector<int> find_roads(int n, vector<int> U, vector<int> V) {
	for(int i = size(U); i--; ) {
		g[U[i]].push_back({V[i], i});
		g[V[i]].push_back({U[i], i});
	}

	fill(t, t + NE, -1);
	dfs(0, 0);

	fill(vis, vis + n, 0);

	int def = count_common_roads(st);
	for(auto [e, c] : backedges) {
		for(int i = size(c); --i; ) if(!vis[c[i-1]]++) {
			int x = ask(c[i-1], e), y = ask(c[i], e);

			h[c[i]].push_back({c[i-1], x != y});
			h[c[i-1]].push_back({c[i], x != y});

			if(x != y) q.push_back({c[i-1], x < y});
		}
	}

	while(1) {
		for(auto [u, w] : q) if(t[u] < 0) {
			t[u] = w;
			color(u);
		}
		q.clear();

		bool done = 1;
		for(int i : st) if(t[i] < 0) {
			int e = backedgeFrom[i];
			done = 0;

			q.push_back({i, ask(backedges[e][0], e) < def});
		} 
		if(done) break;
	}

	for(int u = 0; u < n; ++u) {
		vector<int> a;
		for(auto [v, i] : g[u]) if(u < v && t[i] < 0)
			a.push_back(i);

		while(!empty(a)) {
			int x = 0;
			for(int y = 1<<10; y /= 2; ) if(x + y <= (int)size(a)) {
				x += y;

				UFDS uf(n);
				vector<int> qry;
				for(int i = 0; i < x; ++i) {
					int e = a[i];
					uf(U[e], V[e]);
					qry.push_back(e);
				}

				int cnt {};
				for(int e : st) if(uf(U[e], V[e])) {
					qry.push_back(e);
					cnt += t[e];
				}

				if(cnt < count_common_roads(qry)) x -= y;
			}
			for(int i = 0; i < x; ++i)
				t[a[i]] = 0;
			if(x == (int)size(a)) break;
			t[a[x]] = 1;
			a = vector<int> {begin(a) + x + 1, end(a)};			
		}
	}

	vector<int> res;
	for(int i = size(U); i--; )
		if(t[i] == 1) res.push_back(i);
	return res;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3668 KB correct
2 Correct 3 ms 3640 KB correct
3 Correct 3 ms 3668 KB correct
4 Correct 3 ms 3668 KB correct
5 Correct 2 ms 3668 KB correct
6 Correct 3 ms 3668 KB correct
7 Correct 2 ms 3668 KB correct
8 Correct 2 ms 3668 KB correct
9 Correct 2 ms 3668 KB correct
10 Correct 2 ms 3668 KB correct
11 Correct 2 ms 3668 KB correct
12 Correct 2 ms 3668 KB correct
13 Correct 2 ms 3668 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3668 KB correct
2 Correct 3 ms 3640 KB correct
3 Correct 3 ms 3668 KB correct
4 Correct 3 ms 3668 KB correct
5 Correct 2 ms 3668 KB correct
6 Correct 3 ms 3668 KB correct
7 Correct 2 ms 3668 KB correct
8 Correct 2 ms 3668 KB correct
9 Correct 2 ms 3668 KB correct
10 Correct 2 ms 3668 KB correct
11 Correct 2 ms 3668 KB correct
12 Correct 2 ms 3668 KB correct
13 Correct 2 ms 3668 KB correct
14 Correct 5 ms 4052 KB correct
15 Correct 4 ms 4052 KB correct
16 Correct 4 ms 4052 KB correct
17 Correct 4 ms 3924 KB correct
18 Correct 3 ms 3796 KB correct
19 Correct 5 ms 3904 KB correct
20 Correct 5 ms 3924 KB correct
21 Correct 5 ms 3924 KB correct
22 Correct 4 ms 3796 KB correct
23 Correct 5 ms 3796 KB correct
24 Correct 3 ms 3796 KB correct
25 Correct 2 ms 3640 KB correct
26 Correct 3 ms 3796 KB correct
27 Correct 3 ms 3796 KB correct
28 Correct 2 ms 3796 KB correct
29 Correct 2 ms 3668 KB correct
30 Correct 4 ms 3772 KB correct
31 Correct 3 ms 3768 KB correct
32 Correct 3 ms 3796 KB correct
33 Correct 3 ms 3796 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3668 KB correct
2 Correct 3 ms 3640 KB correct
3 Correct 3 ms 3668 KB correct
4 Correct 3 ms 3668 KB correct
5 Correct 2 ms 3668 KB correct
6 Correct 3 ms 3668 KB correct
7 Correct 2 ms 3668 KB correct
8 Correct 2 ms 3668 KB correct
9 Correct 2 ms 3668 KB correct
10 Correct 2 ms 3668 KB correct
11 Correct 2 ms 3668 KB correct
12 Correct 2 ms 3668 KB correct
13 Correct 2 ms 3668 KB correct
14 Correct 5 ms 4052 KB correct
15 Correct 4 ms 4052 KB correct
16 Correct 4 ms 4052 KB correct
17 Correct 4 ms 3924 KB correct
18 Correct 3 ms 3796 KB correct
19 Correct 5 ms 3904 KB correct
20 Correct 5 ms 3924 KB correct
21 Correct 5 ms 3924 KB correct
22 Correct 4 ms 3796 KB correct
23 Correct 5 ms 3796 KB correct
24 Correct 3 ms 3796 KB correct
25 Correct 2 ms 3640 KB correct
26 Correct 3 ms 3796 KB correct
27 Correct 3 ms 3796 KB correct
28 Correct 2 ms 3796 KB correct
29 Correct 2 ms 3668 KB correct
30 Correct 4 ms 3772 KB correct
31 Correct 3 ms 3768 KB correct
32 Correct 3 ms 3796 KB correct
33 Correct 3 ms 3796 KB correct
34 Correct 148 ms 20544 KB correct
35 Correct 140 ms 20056 KB correct
36 Correct 107 ms 15156 KB correct
37 Correct 12 ms 4308 KB correct
38 Correct 147 ms 20528 KB correct
39 Correct 122 ms 18100 KB correct
40 Correct 101 ms 15096 KB correct
41 Correct 152 ms 20556 KB correct
42 Correct 146 ms 20524 KB correct
43 Correct 62 ms 9756 KB correct
44 Correct 50 ms 7884 KB correct
45 Correct 52 ms 8948 KB correct
46 Correct 38 ms 7120 KB correct
47 Correct 20 ms 4808 KB correct
48 Correct 6 ms 3796 KB correct
49 Correct 13 ms 3988 KB correct
50 Correct 19 ms 4820 KB correct
51 Correct 52 ms 8924 KB correct
52 Correct 46 ms 8088 KB correct
53 Correct 36 ms 7188 KB correct
54 Correct 58 ms 9792 KB correct
55 Correct 48 ms 9044 KB correct
56 Correct 61 ms 10644 KB correct
57 Correct 63 ms 11384 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3668 KB correct
2 Correct 3 ms 3644 KB correct
3 Correct 633 ms 75808 KB correct
4 Correct 1148 ms 137232 KB correct
5 Correct 1149 ms 137280 KB correct
6 Correct 1160 ms 137272 KB correct
7 Correct 1177 ms 137400 KB correct
8 Correct 1212 ms 137304 KB correct
9 Correct 1237 ms 137300 KB correct
10 Correct 1251 ms 137300 KB correct
11 Correct 1271 ms 137168 KB correct
12 Correct 1112 ms 137312 KB correct
13 Correct 3 ms 3668 KB correct
14 Correct 1157 ms 137432 KB correct
15 Correct 1152 ms 137340 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3668 KB correct
2 Correct 3 ms 3640 KB correct
3 Correct 3 ms 3668 KB correct
4 Correct 3 ms 3668 KB correct
5 Correct 2 ms 3668 KB correct
6 Correct 3 ms 3668 KB correct
7 Correct 2 ms 3668 KB correct
8 Correct 2 ms 3668 KB correct
9 Correct 2 ms 3668 KB correct
10 Correct 2 ms 3668 KB correct
11 Correct 2 ms 3668 KB correct
12 Correct 2 ms 3668 KB correct
13 Correct 2 ms 3668 KB correct
14 Correct 5 ms 4052 KB correct
15 Correct 4 ms 4052 KB correct
16 Correct 4 ms 4052 KB correct
17 Correct 4 ms 3924 KB correct
18 Correct 3 ms 3796 KB correct
19 Correct 5 ms 3904 KB correct
20 Correct 5 ms 3924 KB correct
21 Correct 5 ms 3924 KB correct
22 Correct 4 ms 3796 KB correct
23 Correct 5 ms 3796 KB correct
24 Correct 3 ms 3796 KB correct
25 Correct 2 ms 3640 KB correct
26 Correct 3 ms 3796 KB correct
27 Correct 3 ms 3796 KB correct
28 Correct 2 ms 3796 KB correct
29 Correct 2 ms 3668 KB correct
30 Correct 4 ms 3772 KB correct
31 Correct 3 ms 3768 KB correct
32 Correct 3 ms 3796 KB correct
33 Correct 3 ms 3796 KB correct
34 Correct 148 ms 20544 KB correct
35 Correct 140 ms 20056 KB correct
36 Correct 107 ms 15156 KB correct
37 Correct 12 ms 4308 KB correct
38 Correct 147 ms 20528 KB correct
39 Correct 122 ms 18100 KB correct
40 Correct 101 ms 15096 KB correct
41 Correct 152 ms 20556 KB correct
42 Correct 146 ms 20524 KB correct
43 Correct 62 ms 9756 KB correct
44 Correct 50 ms 7884 KB correct
45 Correct 52 ms 8948 KB correct
46 Correct 38 ms 7120 KB correct
47 Correct 20 ms 4808 KB correct
48 Correct 6 ms 3796 KB correct
49 Correct 13 ms 3988 KB correct
50 Correct 19 ms 4820 KB correct
51 Correct 52 ms 8924 KB correct
52 Correct 46 ms 8088 KB correct
53 Correct 36 ms 7188 KB correct
54 Correct 58 ms 9792 KB correct
55 Correct 48 ms 9044 KB correct
56 Correct 61 ms 10644 KB correct
57 Correct 63 ms 11384 KB correct
58 Correct 2 ms 3668 KB correct
59 Correct 3 ms 3644 KB correct
60 Correct 633 ms 75808 KB correct
61 Correct 1148 ms 137232 KB correct
62 Correct 1149 ms 137280 KB correct
63 Correct 1160 ms 137272 KB correct
64 Correct 1177 ms 137400 KB correct
65 Correct 1212 ms 137304 KB correct
66 Correct 1237 ms 137300 KB correct
67 Correct 1251 ms 137300 KB correct
68 Correct 1271 ms 137168 KB correct
69 Correct 1112 ms 137312 KB correct
70 Correct 3 ms 3668 KB correct
71 Correct 1157 ms 137432 KB correct
72 Correct 1152 ms 137340 KB correct
73 Correct 3 ms 3668 KB correct
74 Correct 1063 ms 137188 KB correct
75 Correct 1208 ms 132712 KB correct
76 Correct 359 ms 43408 KB correct
77 Correct 1320 ms 137192 KB correct
78 Correct 1288 ms 137048 KB correct
79 Correct 1176 ms 136928 KB correct
80 Correct 1186 ms 132956 KB correct
81 Correct 1066 ms 113776 KB correct
82 Correct 1137 ms 132160 KB correct
83 Correct 610 ms 69852 KB correct
84 Correct 501 ms 57724 KB correct
85 Correct 376 ms 45732 KB correct
86 Correct 234 ms 26112 KB correct
87 Correct 149 ms 15740 KB correct
88 Correct 115 ms 11912 KB correct
89 Correct 112 ms 11372 KB correct
90 Correct 89 ms 9440 KB correct
91 Correct 31 ms 4036 KB correct
92 Correct 14 ms 3796 KB correct
93 Correct 389 ms 45720 KB correct
94 Correct 223 ms 26224 KB correct
95 Correct 198 ms 23244 KB correct
96 Correct 85 ms 10004 KB correct
97 Correct 107 ms 11972 KB correct
98 Correct 140 ms 15744 KB correct
99 Correct 113 ms 12704 KB correct
100 Correct 43 ms 4924 KB correct
101 Correct 18 ms 3908 KB correct
102 Correct 357 ms 41884 KB correct
103 Correct 463 ms 59620 KB correct
104 Correct 492 ms 60564 KB correct
105 Correct 380 ms 44292 KB correct