답안 #409010

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
409010 2021-05-20T04:52:57 Z ja_kingy Simurgh (IOI17_simurgh) C++14
100 / 100
1427 ms 7640 KB
#include "simurgh.h"
#include <bits/stdc++.h>
using namespace std;

typedef pair<int,int> pii;
int n, seen[500], usede[125000], in_set[500], royal[125000], cnt;
vector<pii> adj[500];
vector<int> u,v;

struct DSU {
	vector<int> dsu;
	DSU (int n) {
		dsu.resize(n);
		iota(dsu.begin(), dsu.end(), 0);
	}
	int f(int x) {return dsu[x] == x ? x : dsu[x] = f(dsu[x]);}
	bool merge(int a, int b) {
		a = f(a), b = f(b);
		if (a != b) {
			dsu[b] = a;
			return 1;
		}
		return 0;
	}
};

void dfs(int u, int ma, int ex, vector<int> &r, DSU &dsu) {
	seen[u] = cnt;
	for (pii v: adj[u]) {
		if (u == ma && dsu.f(v.first) == ex) continue;
		if (dsu.f(u) == ex && v.first == ma) continue;
		if (seen[v.first] != cnt) {
			r.push_back(v.second);
			dfs(v.first, ma, ex, r, dsu);
		}
	}
}

void dfs2(int u, vector<int> &r) {
	seen[u] = cnt;
	for (pii v: adj[u]) {
		if (seen[v.first] != cnt) {
			if (!in_set[v.first]) r.push_back(v.second);
			dfs2(v.first, r);
		}
	}
}

int query(int offset, vector<int> &edges, vector<int> &span) {
	vector<int> res = edges;
	DSU dsu(n);
	for (int e: edges) {
		dsu.merge(u[e], v[e]);
	}
	for (int e: span) {
		if (dsu.merge(u[e], v[e])) {
			res.push_back(e);
			offset += royal[e];
		}
	}
	return count_common_roads(res) - offset;
}

void dnc(int cnt, int offset, vector<int> &edges, vector<int> &span) {
	if (cnt == 0) return;
	if (cnt == edges.size()) {
		for (int e: edges) royal[e] = 1;
		return;
	}
	int m = edges.size() / 2;
	vector<int> lft, rht;
	for (int e: edges) {
		(lft.size() < m ? lft : rht).push_back(e);
	}
	int res = query(offset, lft, span);
	dnc(res, offset, lft, span);
	dnc(cnt-res, offset, rht, span);	
}

std::vector<int> find_roads(int _n, std::vector<int> _u, std::vector<int> _v) {
	n = _n;
	u = _u;
	v = _v;
	vector<int> ans, stk{0}, span;
	in_set[0] = 1;
	for (int i = 0; i < u.size(); ++i) {
		adj[u[i]].push_back({v[i], i});
		adj[v[i]].push_back({u[i], i});
	}
	while (stk.size()) {
		int i = stk.back(); stk.pop_back();
		vector<int> nxt;
		DSU dsu(n);
		for (int j = 0; j < u.size(); ++j) {
			if (u[j] != i && v[j] != i)	dsu.merge(u[j], v[j]);
		}
		vector<vector<pii>> es(n);
		for (pii e: adj[i]) es[dsu.f(e.first)].push_back(e);
		vector<int> vals = dsu.dsu;
		sort(vals.begin(), vals.end());
		vals.resize(unique(vals.begin(), vals.end()) - vals.begin());
		for (int ex: vals) if (ex != i) {
			vector<int> r;
			cnt++;
			for (int j = 0; j < n; ++j) if (j != i && seen[j] != cnt) {
				dfs(j, i, ex, r, dsu);
			}
			bool seen_royal = 0;
			vector<pii> res;
			for (pii e: es[ex]) {
				if (!usede[e.second] || (!seen_royal && royal[e.second])) {
					if (!in_set[e.first]) {
						in_set[e.first] = 1;
						nxt.push_back(e.first);
						span.push_back(e.second);
					}
					usede[e.second] = 1;
					if (royal[e.second]) seen_royal = 1;
					r.push_back(e.second);
					res.push_back({count_common_roads(r), e.second});
					r.pop_back();
				}
			}
			sort(res.begin(), res.end());
			int bst = res.back().first;
			while (res.size() && res.back().first == bst) {
				if (!royal[res.back().second]) {
					royal[res.back().second] = 1;
				}
				res.pop_back();
			}
		}
		vector<int> total_span = span;
		cnt++;
		dfs2(0, total_span);
		int span_rcnt = 0;
		for (int e: span) span_rcnt += royal[e];
		for (int nx: nxt) {
			vector<int> edges;
			stk.push_back(nx);
			for (pii e: adj[nx]) if (in_set[e.first] && !usede[e.second]) {
				edges.push_back(e.second);
				usede[e.second] = 1;
			}
			int offset = count_common_roads(total_span) - span_rcnt;
			dnc(query(offset, edges, total_span), offset, edges, total_span);
		}
	}
	for (int i = 0; i < u.size(); ++i) if (royal[i]) ans.push_back(i);
	return ans;
}

Compilation message

simurgh.cpp: In function 'void dnc(int, int, std::vector<int>&, std::vector<int>&)':
simurgh.cpp:66:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |  if (cnt == edges.size()) {
      |      ~~~~^~~~~~~~~~~~~~~
simurgh.cpp:73:15: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   73 |   (lft.size() < m ? lft : rht).push_back(e);
      |    ~~~~~~~~~~~^~~
simurgh.cpp: In function 'std::vector<int> find_roads(int, std::vector<int>, std::vector<int>)':
simurgh.cpp:86:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |  for (int i = 0; i < u.size(); ++i) {
      |                  ~~^~~~~~~~~~
simurgh.cpp:94:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |   for (int j = 0; j < u.size(); ++j) {
      |                   ~~^~~~~~~~~~
simurgh.cpp:149:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |  for (int i = 0; i < u.size(); ++i) if (royal[i]) ans.push_back(i);
      |                  ~~^~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 1 ms 312 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 312 KB correct
8 Correct 1 ms 316 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 296 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 332 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 1 ms 312 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 312 KB correct
8 Correct 1 ms 316 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 296 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 332 KB correct
15 Correct 3 ms 408 KB correct
16 Correct 4 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 2 ms 332 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 332 KB correct
24 Correct 3 ms 312 KB correct
25 Correct 2 ms 332 KB correct
26 Correct 2 ms 312 KB correct
27 Correct 3 ms 332 KB correct
28 Correct 2 ms 332 KB correct
29 Correct 2 ms 332 KB correct
30 Correct 3 ms 316 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 1 ms 312 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 312 KB correct
8 Correct 1 ms 316 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 296 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 332 KB correct
15 Correct 3 ms 408 KB correct
16 Correct 4 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 2 ms 332 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 332 KB correct
24 Correct 3 ms 312 KB correct
25 Correct 2 ms 332 KB correct
26 Correct 2 ms 312 KB correct
27 Correct 3 ms 332 KB correct
28 Correct 2 ms 332 KB correct
29 Correct 2 ms 332 KB correct
30 Correct 3 ms 316 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 173 ms 2032 KB correct
35 Correct 169 ms 1992 KB correct
36 Correct 134 ms 1612 KB correct
37 Correct 31 ms 472 KB correct
38 Correct 174 ms 2020 KB correct
39 Correct 162 ms 1860 KB correct
40 Correct 133 ms 1664 KB correct
41 Correct 171 ms 1976 KB correct
42 Correct 163 ms 1996 KB correct
43 Correct 98 ms 1356 KB correct
44 Correct 84 ms 1064 KB correct
45 Correct 93 ms 1068 KB correct
46 Correct 76 ms 980 KB correct
47 Correct 43 ms 680 KB correct
48 Correct 78 ms 376 KB correct
49 Correct 47 ms 460 KB correct
50 Correct 42 ms 660 KB correct
51 Correct 94 ms 1164 KB correct
52 Correct 82 ms 972 KB correct
53 Correct 75 ms 972 KB correct
54 Correct 97 ms 1356 KB correct
55 Correct 93 ms 1104 KB correct
56 Correct 94 ms 1220 KB correct
57 Correct 94 ms 1100 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 332 KB correct
3 Correct 728 ms 5232 KB correct
4 Correct 1389 ms 7612 KB correct
5 Correct 1412 ms 7516 KB correct
6 Correct 1302 ms 7548 KB correct
7 Correct 1329 ms 7540 KB correct
8 Correct 1345 ms 7508 KB correct
9 Correct 1402 ms 7524 KB correct
10 Correct 1420 ms 7492 KB correct
11 Correct 1399 ms 7620 KB correct
12 Correct 1414 ms 7640 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 1387 ms 7520 KB correct
15 Correct 1427 ms 7512 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 1 ms 312 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 1 ms 312 KB correct
8 Correct 1 ms 316 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 1 ms 204 KB correct
11 Correct 1 ms 296 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 332 KB correct
14 Correct 4 ms 332 KB correct
15 Correct 3 ms 408 KB correct
16 Correct 4 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 2 ms 332 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 332 KB correct
24 Correct 3 ms 312 KB correct
25 Correct 2 ms 332 KB correct
26 Correct 2 ms 312 KB correct
27 Correct 3 ms 332 KB correct
28 Correct 2 ms 332 KB correct
29 Correct 2 ms 332 KB correct
30 Correct 3 ms 316 KB correct
31 Correct 3 ms 332 KB correct
32 Correct 3 ms 332 KB correct
33 Correct 3 ms 332 KB correct
34 Correct 173 ms 2032 KB correct
35 Correct 169 ms 1992 KB correct
36 Correct 134 ms 1612 KB correct
37 Correct 31 ms 472 KB correct
38 Correct 174 ms 2020 KB correct
39 Correct 162 ms 1860 KB correct
40 Correct 133 ms 1664 KB correct
41 Correct 171 ms 1976 KB correct
42 Correct 163 ms 1996 KB correct
43 Correct 98 ms 1356 KB correct
44 Correct 84 ms 1064 KB correct
45 Correct 93 ms 1068 KB correct
46 Correct 76 ms 980 KB correct
47 Correct 43 ms 680 KB correct
48 Correct 78 ms 376 KB correct
49 Correct 47 ms 460 KB correct
50 Correct 42 ms 660 KB correct
51 Correct 94 ms 1164 KB correct
52 Correct 82 ms 972 KB correct
53 Correct 75 ms 972 KB correct
54 Correct 97 ms 1356 KB correct
55 Correct 93 ms 1104 KB correct
56 Correct 94 ms 1220 KB correct
57 Correct 94 ms 1100 KB correct
58 Correct 1 ms 204 KB correct
59 Correct 1 ms 332 KB correct
60 Correct 728 ms 5232 KB correct
61 Correct 1389 ms 7612 KB correct
62 Correct 1412 ms 7516 KB correct
63 Correct 1302 ms 7548 KB correct
64 Correct 1329 ms 7540 KB correct
65 Correct 1345 ms 7508 KB correct
66 Correct 1402 ms 7524 KB correct
67 Correct 1420 ms 7492 KB correct
68 Correct 1399 ms 7620 KB correct
69 Correct 1414 ms 7640 KB correct
70 Correct 1 ms 204 KB correct
71 Correct 1387 ms 7520 KB correct
72 Correct 1427 ms 7512 KB correct
73 Correct 1 ms 204 KB correct
74 Correct 1404 ms 7512 KB correct
75 Correct 1367 ms 7516 KB correct
76 Correct 463 ms 3140 KB correct
77 Correct 1388 ms 7544 KB correct
78 Correct 1421 ms 7604 KB correct
79 Correct 1394 ms 7576 KB correct
80 Correct 1347 ms 7368 KB correct
81 Correct 1139 ms 6656 KB correct
82 Correct 1402 ms 7404 KB correct
83 Correct 764 ms 4260 KB correct
84 Correct 835 ms 4800 KB correct
85 Correct 751 ms 4540 KB correct
86 Correct 563 ms 3140 KB correct
87 Correct 429 ms 2648 KB correct
88 Correct 350 ms 1896 KB correct
89 Correct 332 ms 1860 KB correct
90 Correct 492 ms 1660 KB correct
91 Correct 329 ms 584 KB correct
92 Correct 766 ms 544 KB correct
93 Correct 763 ms 4548 KB correct
94 Correct 546 ms 3020 KB correct
95 Correct 528 ms 3068 KB correct
96 Correct 304 ms 1724 KB correct
97 Correct 344 ms 2116 KB correct
98 Correct 414 ms 2548 KB correct
99 Correct 361 ms 1884 KB correct
100 Correct 284 ms 896 KB correct
101 Correct 690 ms 492 KB correct
102 Correct 727 ms 3908 KB correct
103 Correct 774 ms 3808 KB correct
104 Correct 727 ms 3768 KB correct
105 Correct 712 ms 3708 KB correct