답안 #393588

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
393588 2021-04-24T04:55:14 Z JimmyZJX Simurgh (IOI17_simurgh) C++14
30 / 100
289 ms 4620 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 pathPending[e] || 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;
			for (int j = 1; j < gp.size(); j++) {
				int edge = nbs[i][gp[j]].second;
				if (getRoot(edge) == getRoot(edge0)) 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);
				}
			}
		}
	}

	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:162:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  162 |    for (int j = 1; j < gp.size(); j++) {
      |                    ~~^~~~~~~~~~~
In file included from /usr/include/c++/9/cassert:44,
                 from simurgh.cpp:6:
simurgh.cpp:185:28: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  185 |  assert(royaleEdges.size() == n - 1);
      |         ~~~~~~~~~~~~~~~~~~~^~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 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 0 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
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 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 0 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 332 KB correct
17 Correct 3 ms 332 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 352 KB correct
23 Correct 3 ms 332 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 3 ms 332 KB correct
27 Correct 3 ms 336 KB correct
28 Correct 2 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 3 ms 332 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 340 KB correct
33 Correct 3 ms 332 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 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 0 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 332 KB correct
17 Correct 3 ms 332 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 352 KB correct
23 Correct 3 ms 332 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 3 ms 332 KB correct
27 Correct 3 ms 336 KB correct
28 Correct 2 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 3 ms 332 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 340 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 271 ms 1744 KB correct
35 Correct 278 ms 1712 KB correct
36 Correct 190 ms 1464 KB correct
37 Correct 22 ms 332 KB correct
38 Correct 282 ms 1820 KB correct
39 Correct 252 ms 1640 KB correct
40 Correct 189 ms 1520 KB correct
41 Correct 277 ms 1748 KB correct
42 Correct 277 ms 1768 KB correct
43 Incorrect 255 ms 1272 KB WA in grader: NO
44 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Incorrect 289 ms 4620 KB WA in grader: NO
4 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 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 0 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 332 KB correct
17 Correct 3 ms 332 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 352 KB correct
23 Correct 3 ms 332 KB correct
24 Correct 2 ms 332 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 3 ms 332 KB correct
27 Correct 3 ms 336 KB correct
28 Correct 2 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 3 ms 332 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 340 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 271 ms 1744 KB correct
35 Correct 278 ms 1712 KB correct
36 Correct 190 ms 1464 KB correct
37 Correct 22 ms 332 KB correct
38 Correct 282 ms 1820 KB correct
39 Correct 252 ms 1640 KB correct
40 Correct 189 ms 1520 KB correct
41 Correct 277 ms 1748 KB correct
42 Correct 277 ms 1768 KB correct
43 Incorrect 255 ms 1272 KB WA in grader: NO
44 Halted 0 ms 0 KB -