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답안 #393592

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
393592 2021-04-24T05:06:51 Z JimmyZJX Simurgh (IOI17_simurgh) C++14
51 / 100
 295 ms 4784 KB 
#include <iostream>
#include <fstream>
#include <algorithm>
#include <cstring>
#include <climits>
#include <cassert>
#include <tuple>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <unordered_set>
#include <unordered_map>
#include <numeric>

using namespace std;

typedef long long LL;
typedef vector<int> Vi;
typedef vector<LL> VL;
typedef vector<bool> Vb;
typedef vector<vector<int>> Vii;
typedef vector<vector<vector<int>>> Viii;
typedef vector<vector<pair<int, int>>> Vip;

#define forR(i, n) for (int i = 0; i < (n); i++)

int count_common_roads(const Vi& r);

Vip nbs; // {nb, edge}
Viii nbgps; // index
int N;
Vi pathProp; // 0: unknown; 1: royale; 2: not royale
Vb pathPending;

Vi parent; // disjoint set

int getRoot(int x) {
	if (x == parent[x]) return x;
	int ppx = getRoot(parent[x]);
	parent[x] = ppx;
	return ppx;
}
void setEq(int x, int y) {
	int px = getRoot(x), py = getRoot(y);
	parent[py] = px;
	if (pathProp[py] > 0) {
		assert(pathProp[px] == 0 || pathProp[px] == pathProp[py]);
		pathProp[px] = pathProp[py];
	}
	pathPending[px] = pathPending[py] = true;
}
void set_prop(int e, int prop) {
	int re = getRoot(e);
	assert(pathProp[re] == 0 || pathProp[re] == prop);
	pathProp[re] = prop;
}
int get_prop(int e) {
	int re = getRoot(e);
	assert(pathProp[re] > 0);
	return pathProp[re];
}
bool has_prop(int e) {
	int re = getRoot(e);
	return pathProp[re] > 0;
}

pair<Vi, Vb> gen_tree(int root, int node = -1) {
	Vb vis(N); vis[root] = true;
	queue<int> q;
	if (node < 0) {
		for (auto& gps : nbgps[root]) {
			int node = nbs[root][gps[0]].first;
			vis[node] = true;
			q.push(node);
		}
	} else {
		vis[node] = true;
		q.push(node);
	}

	Vi edges;
	while (!q.empty()) {
		int x = q.front(); q.pop();
		for (auto nb : nbs[x]) {
			if (!vis[nb.first]) {
				vis[nb.first] = true;
				q.push(nb.first);
				edges.push_back(nb.second);
			}
		}
	}

	if (node < 0) {
		assert(edges.size() == N - 1 - nbgps[root].size());
	}
	return { edges, vis };
}

Vi find_roads(int n, Vi u, Vi v) {
	nbs = Vip(n);
	nbgps = Viii(n);
	N = n;
	int m = u.size();
	pathProp = Vi(m);
	pathPending = Vb(m);

	parent = Vi();
	forR(i, m) parent.push_back(i);

	forR(i, m) {
		nbs[u[i]].push_back({ v[i], i });
		nbs[v[i]].push_back({ u[i], i });
	}

	forR(i, n) {
		Vb visited(n);
		forR(j, nbs[i].size()) {
			int node = nbs[i][j].first;
			if (visited[node]) continue;
			auto pair = gen_tree(i, node);
			Vb& vis = pair.second;

			nbgps[i].push_back(Vi());
			forR(k, nbs[i].size()) {
				int nk = nbs[i][k].first;
				if (vis[nk]) {
					nbgps[i].back().push_back(k);
					visited[nk] = true;
				}
			}
		}
	}

	forR(i, n) {
		Vi sTree = gen_tree(i).first;

		Vi sTree0 = sTree; // all first edges
		forR(k, nbgps[i].size()) {
			int edge = nbs[i][nbgps[i][k][0]].second;
			sTree0.push_back(edge);
		}
		int val0 = count_common_roads(sTree0);

		forR(igp, nbgps[i].size()) {
			auto& gp = nbgps[i][igp];
			if (gp.size() == 1) {
				set_prop(nbs[i][gp[0]].second, 1);
				continue;
			}

			Vi gpTree = sTree;
			forR(k, nbgps[i].size()) { // edges of other groups
				if (k == igp) continue;
				int edge = nbs[i][nbgps[i][k][0]].second;
				gpTree.push_back(edge);
			}

			int edge0 = nbs[i][gp[0]].second;
			bool someHasProp = has_prop(edge0);

			for (int j = 1; j < gp.size(); j++) {
				int edge = nbs[i][gp[j]].second;
				if (has_prop(edge)) {
					if (!someHasProp) someHasProp = true;
					else continue;
				}
				gpTree.push_back(edge);
				int valJ = count_common_roads(gpTree);
				gpTree.pop_back();

				if (val0 == valJ) {
					setEq(edge0, edge);
				} else if (val0 < valJ) { // j royale
					set_prop(edge0, 2);
					set_prop(edge, 1);
				} else { // 0 royale
					set_prop(edge0, 1);
					set_prop(edge, 2);
				}
			}
			if (!has_prop(edge0)) {
				// pending edge0: all pending => all set to 1
				set_prop(edge0, 1);
			}
		}
	}

	Vi royaleEdges;
	forR(i, m) if (get_prop(i) == 1) royaleEdges.push_back(i);

	assert(royaleEdges.size() == n - 1);
	return royaleEdges;
}


#ifdef TEST_LOCAL
set<int> _ry{ 5,1,0 };
int count_common_roads(const Vi& r) {
	int cnt = 0;
	for (int e : r)
		if (_ry.count(e) > 0)
			cnt++;
	return cnt;
}

int main() {
	auto r = find_roads(4, Vi{ 0, 0, 0, 1, 1, 2 }, Vi{ 1, 2, 3, 3, 2, 3 }); //

	return 0;
}
#endif

Compilation message

simurgh.cpp: In function 'Vi find_roads(int, Vi, Vi)':
simurgh.cpp:28:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 | #define forR(i, n) for (int i = 0; i < (n); i++)
      |                                      ^
simurgh.cpp:120:3: note: in expansion of macro 'forR'
  120 |   forR(j, nbs[i].size()) {
      |   ^~~~
simurgh.cpp:28:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 | #define forR(i, n) for (int i = 0; i < (n); i++)
      |                                      ^
simurgh.cpp:127:4: note: in expansion of macro 'forR'
  127 |    forR(k, nbs[i].size()) {
      |    ^~~~
simurgh.cpp:28:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 | #define forR(i, n) for (int i = 0; i < (n); i++)
      |                                      ^
simurgh.cpp:141:3: note: in expansion of macro 'forR'
  141 |   forR(k, nbgps[i].size()) {
      |   ^~~~
simurgh.cpp:28:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 | #define forR(i, n) for (int i = 0; i < (n); i++)
      |                                      ^
simurgh.cpp:147:3: note: in expansion of macro 'forR'
  147 |   forR(igp, nbgps[i].size()) {
      |   ^~~~
simurgh.cpp:28:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 | #define forR(i, n) for (int i = 0; i < (n); i++)
      |                                      ^
simurgh.cpp:155:4: note: in expansion of macro 'forR'
  155 |    forR(k, nbgps[i].size()) { // edges of other groups
      |    ^~~~
simurgh.cpp:164:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  164 |    for (int j = 1; j < gp.size(); j++) {
      |                    ~~^~~~~~~~~~~
In file included from /usr/include/c++/9/cassert:44,
                 from simurgh.cpp:6:
simurgh.cpp:194:28: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  194 |  assert(royaleEdges.size() == n - 1);
      |         ~~~~~~~~~~~~~~~~~~~^~~~~~~~

Subtask #1
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 272 KB correct
4 Correct 1 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 204 KB correct
8 Correct 1 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct

Subtask #2
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 272 KB correct
4 Correct 1 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 204 KB correct
8 Correct 1 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 300 KB correct
17 Correct 4 ms 384 KB correct
18 Correct 2 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 3 ms 332 KB correct
21 Correct 3 ms 332 KB correct
22 Correct 3 ms 332 KB correct
23 Correct 3 ms 336 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 332 KB correct
27 Correct 2 ms 332 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 332 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct

Subtask #3
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 272 KB correct
4 Correct 1 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 204 KB correct
8 Correct 1 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 300 KB correct
17 Correct 4 ms 384 KB correct
18 Correct 2 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 3 ms 332 KB correct
21 Correct 3 ms 332 KB correct
22 Correct 3 ms 332 KB correct
23 Correct 3 ms 336 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 332 KB correct
27 Correct 2 ms 332 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 332 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 275 ms 1748 KB correct
35 Correct 277 ms 1736 KB correct
36 Correct 191 ms 1508 KB correct
37 Correct 21 ms 332 KB correct
38 Correct 264 ms 1740 KB correct
39 Correct 237 ms 1640 KB correct
40 Correct 181 ms 1484 KB correct
41 Correct 258 ms 1748 KB correct
42 Correct 261 ms 1736 KB correct
43 Correct 140 ms 1228 KB correct
44 Correct 112 ms 952 KB correct
45 Correct 134 ms 1084 KB correct
46 Correct 98 ms 908 KB correct
47 Correct 47 ms 692 KB correct
48 Correct 8 ms 332 KB correct
49 Correct 16 ms 412 KB correct
50 Correct 47 ms 588 KB correct
51 Correct 131 ms 980 KB correct
52 Correct 116 ms 952 KB correct
53 Correct 100 ms 908 KB correct
54 Correct 142 ms 1272 KB correct
55 Correct 138 ms 1008 KB correct
56 Correct 139 ms 1100 KB correct
57 Correct 160 ms 964 KB correct

Subtask #4
0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Incorrect 295 ms 4784 KB WA in grader: NO
4 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 272 KB correct
4 Correct 1 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 204 KB correct
8 Correct 1 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 300 KB correct
17 Correct 4 ms 384 KB correct
18 Correct 2 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 3 ms 332 KB correct
21 Correct 3 ms 332 KB correct
22 Correct 3 ms 332 KB correct
23 Correct 3 ms 336 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 332 KB correct
27 Correct 2 ms 332 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 332 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 275 ms 1748 KB correct
35 Correct 277 ms 1736 KB correct
36 Correct 191 ms 1508 KB correct
37 Correct 21 ms 332 KB correct
38 Correct 264 ms 1740 KB correct
39 Correct 237 ms 1640 KB correct
40 Correct 181 ms 1484 KB correct
41 Correct 258 ms 1748 KB correct
42 Correct 261 ms 1736 KB correct
43 Correct 140 ms 1228 KB correct
44 Correct 112 ms 952 KB correct
45 Correct 134 ms 1084 KB correct
46 Correct 98 ms 908 KB correct
47 Correct 47 ms 692 KB correct
48 Correct 8 ms 332 KB correct
49 Correct 16 ms 412 KB correct
50 Correct 47 ms 588 KB correct
51 Correct 131 ms 980 KB correct
52 Correct 116 ms 952 KB correct
53 Correct 100 ms 908 KB correct
54 Correct 142 ms 1272 KB correct
55 Correct 138 ms 1008 KB correct
56 Correct 139 ms 1100 KB correct
57 Correct 160 ms 964 KB correct
58 Correct 1 ms 204 KB correct
59 Correct 1 ms 204 KB correct
60 Incorrect 295 ms 4784 KB WA in grader: NO
61 Halted 0 ms 0 KB -