답안 #292196

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
292196 2020-09-06T13:45:47 Z PeppaPig Split the Attractions (IOI19_split) C++14
100 / 100
217 ms 18040 KB
#include "split.h"
#include <bits/stdc++.h>

using namespace std;

const int N = 1e5 + 5;

struct UnionFind {
	int par[N], sz[N];

	void init() {
		iota(par, par + N, 0);
		fill_n(sz, N, 1);
	}

	int find(int x) { return par[x] = x == par[x] ? x : find(par[x]); }

	void unite(int a, int b) {
		a = find(a), b = find(b);
		if(a == b) return;
		par[a] = b, sz[b] += sz[a];
	}

	int size(int a) { return sz[find(a)]; }
} dsu;

int sub[N];
vector<int> g[N];

int dfs(int u, int p) {
	sub[u] = 1;
	for(int v : g[u]) if(v != p)
		sub[u] += dfs(v, u);
	return sub[u];
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
	int ida = 1, idb = 2, idc = 3;

	if(a > b) swap(a, b), swap(ida, idb);
	if(a > c) swap(a, c), swap(ida, idc);
	if(b > c) swap(b, c), swap(idb, idc);

	dsu.init();
	for(int i = 0; i < p.size(); i++) if(dsu.find(p[i]) != dsu.find(q[i])) {
		g[p[i]].emplace_back(q[i]);
		g[q[i]].emplace_back(p[i]);
		dsu.unite(p[i], q[i]);	
	}

	int rot = -1;
	function<int(int, int)> find_rot = [&](int u, int p) {
		int mx = n - sub[u];
		for(int v : g[u]) if(v != p)
			mx = max(mx, find_rot(v, u));
		if(mx <= n - b) rot = u;
		return sub[u];
	};

	dfs(0, 0), find_rot(0, 0);
	if(rot == -1) return vector<int>(n);

	//cerr << "rot = " << rot << endl;

	dsu.init();
	for(int i = 0; i < n; i++) for(int v : g[i]) {
		if(i == rot || v == rot) continue;
		dsu.unite(i, v);
	}

	for(int i = 0; i < p.size(); i++) {
		if(dsu.find(p[i]) == dsu.find(q[i])) continue;
		if(p[i] == rot || q[i] == rot) continue;
		if(dsu.size(p[i]) >= a || dsu.size(q[i]) >= a) continue;

		dsu.unite(p[i], q[i]);
		g[p[i]].emplace_back(q[i]);
		g[q[i]].emplace_back(p[i]);
	}

	vector<int> ans(n);
	
	function<void(int, int, int&, int)> flood = [&](int u, int col, int &cnt, int block) {
		if(ans[u] || cnt == 0 || u == block) return;
		ans[u] = col, --cnt;
		//cerr << "flooding " << u << " " << col << endl;
		for(int v : g[u]) flood(v, col, cnt, block);
	};

	for(int i = 0; i < n; i++) if(i != rot && dsu.size(i) >= a) {
		flood(i, ida, a, rot), flood(rot, idb, b, -1);
		for(int &x: ans) if(!x) x = idc;
		break;
	}

	return ans;
}

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:45:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |  for(int i = 0; i < p.size(); i++) if(dsu.find(p[i]) != dsu.find(q[i])) {
      |                 ~~^~~~~~~~~~
split.cpp:71:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |  for(int i = 0; i < p.size(); i++) {
      |                 ~~^~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3456 KB ok, correct split
2 Correct 2 ms 3456 KB ok, correct split
3 Correct 4 ms 3456 KB ok, correct split
4 Correct 2 ms 3456 KB ok, correct split
5 Correct 3 ms 3456 KB ok, correct split
6 Correct 3 ms 3456 KB ok, correct split
7 Correct 143 ms 18040 KB ok, correct split
8 Correct 135 ms 15100 KB ok, correct split
9 Correct 146 ms 14456 KB ok, correct split
10 Correct 138 ms 18040 KB ok, correct split
11 Correct 168 ms 16552 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3456 KB ok, correct split
2 Correct 3 ms 3456 KB ok, correct split
3 Correct 3 ms 3456 KB ok, correct split
4 Correct 151 ms 9844 KB ok, correct split
5 Correct 125 ms 9080 KB ok, correct split
6 Correct 138 ms 18028 KB ok, correct split
7 Correct 145 ms 14968 KB ok, correct split
8 Correct 169 ms 10360 KB ok, correct split
9 Correct 136 ms 8952 KB ok, correct split
10 Correct 71 ms 9328 KB ok, correct split
11 Correct 73 ms 9304 KB ok, correct split
12 Correct 73 ms 9328 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3456 KB ok, correct split
2 Correct 126 ms 9164 KB ok, correct split
3 Correct 38 ms 5632 KB ok, correct split
4 Correct 3 ms 3456 KB ok, correct split
5 Correct 140 ms 12024 KB ok, correct split
6 Correct 138 ms 11768 KB ok, correct split
7 Correct 136 ms 11588 KB ok, correct split
8 Correct 149 ms 13156 KB ok, correct split
9 Correct 139 ms 11384 KB ok, correct split
10 Correct 32 ms 5368 KB ok, no valid answer
11 Correct 47 ms 6264 KB ok, no valid answer
12 Correct 89 ms 9204 KB ok, no valid answer
13 Correct 109 ms 9016 KB ok, no valid answer
14 Correct 70 ms 9332 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3456 KB ok, correct split
2 Correct 2 ms 3456 KB ok, no valid answer
3 Correct 3 ms 3456 KB ok, correct split
4 Correct 3 ms 3456 KB ok, correct split
5 Correct 3 ms 3456 KB ok, correct split
6 Correct 3 ms 3456 KB ok, correct split
7 Correct 3 ms 3456 KB ok, correct split
8 Correct 3 ms 3456 KB ok, correct split
9 Correct 5 ms 3712 KB ok, correct split
10 Correct 5 ms 3712 KB ok, correct split
11 Correct 3 ms 3456 KB ok, correct split
12 Correct 5 ms 3712 KB ok, correct split
13 Correct 3 ms 3456 KB ok, correct split
14 Correct 3 ms 3456 KB ok, correct split
15 Correct 3 ms 3456 KB ok, correct split
16 Correct 3 ms 3456 KB ok, correct split
17 Correct 3 ms 3456 KB ok, correct split
18 Correct 3 ms 3456 KB ok, correct split
19 Correct 3 ms 3456 KB ok, correct split
20 Correct 3 ms 3456 KB ok, correct split
21 Correct 5 ms 3712 KB ok, correct split
22 Correct 4 ms 3712 KB ok, correct split
23 Correct 5 ms 3712 KB ok, correct split
24 Correct 4 ms 3744 KB ok, correct split
25 Correct 4 ms 3712 KB ok, correct split
26 Correct 5 ms 3712 KB ok, correct split
27 Correct 5 ms 3712 KB ok, correct split
28 Correct 5 ms 3712 KB ok, correct split
29 Correct 4 ms 3456 KB ok, correct split
30 Correct 5 ms 3712 KB ok, correct split
31 Correct 3 ms 3456 KB ok, correct split
32 Correct 3 ms 3456 KB ok, correct split
33 Correct 3 ms 3456 KB ok, correct split
34 Correct 5 ms 3584 KB ok, correct split
35 Correct 5 ms 3584 KB ok, correct split
36 Correct 4 ms 3584 KB ok, correct split
37 Correct 5 ms 3712 KB ok, correct split
38 Correct 6 ms 3712 KB ok, correct split
39 Correct 6 ms 3712 KB ok, correct split
40 Correct 6 ms 3712 KB ok, correct split
41 Correct 4 ms 3584 KB ok, correct split
42 Correct 6 ms 3524 KB ok, correct split
43 Correct 5 ms 3712 KB ok, correct split
44 Correct 5 ms 3712 KB ok, correct split
45 Correct 6 ms 3712 KB ok, correct split
46 Correct 5 ms 3712 KB ok, correct split
47 Correct 4 ms 3712 KB ok, no valid answer
48 Correct 5 ms 3584 KB ok, correct split
49 Correct 5 ms 3712 KB ok, correct split
50 Correct 2 ms 3456 KB ok, no valid answer
51 Correct 3 ms 3456 KB ok, no valid answer
52 Correct 5 ms 3584 KB ok, no valid answer
53 Correct 6 ms 3712 KB ok, no valid answer
54 Correct 4 ms 3584 KB ok, no valid answer
55 Correct 6 ms 3584 KB ok, no valid answer
56 Correct 5 ms 3584 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3456 KB ok, correct split
2 Correct 2 ms 3456 KB ok, correct split
3 Correct 4 ms 3456 KB ok, correct split
4 Correct 2 ms 3456 KB ok, correct split
5 Correct 3 ms 3456 KB ok, correct split
6 Correct 3 ms 3456 KB ok, correct split
7 Correct 143 ms 18040 KB ok, correct split
8 Correct 135 ms 15100 KB ok, correct split
9 Correct 146 ms 14456 KB ok, correct split
10 Correct 138 ms 18040 KB ok, correct split
11 Correct 168 ms 16552 KB ok, correct split
12 Correct 3 ms 3456 KB ok, correct split
13 Correct 3 ms 3456 KB ok, correct split
14 Correct 3 ms 3456 KB ok, correct split
15 Correct 151 ms 9844 KB ok, correct split
16 Correct 125 ms 9080 KB ok, correct split
17 Correct 138 ms 18028 KB ok, correct split
18 Correct 145 ms 14968 KB ok, correct split
19 Correct 169 ms 10360 KB ok, correct split
20 Correct 136 ms 8952 KB ok, correct split
21 Correct 71 ms 9328 KB ok, correct split
22 Correct 73 ms 9304 KB ok, correct split
23 Correct 73 ms 9328 KB ok, correct split
24 Correct 3 ms 3456 KB ok, correct split
25 Correct 126 ms 9164 KB ok, correct split
26 Correct 38 ms 5632 KB ok, correct split
27 Correct 3 ms 3456 KB ok, correct split
28 Correct 140 ms 12024 KB ok, correct split
29 Correct 138 ms 11768 KB ok, correct split
30 Correct 136 ms 11588 KB ok, correct split
31 Correct 149 ms 13156 KB ok, correct split
32 Correct 139 ms 11384 KB ok, correct split
33 Correct 32 ms 5368 KB ok, no valid answer
34 Correct 47 ms 6264 KB ok, no valid answer
35 Correct 89 ms 9204 KB ok, no valid answer
36 Correct 109 ms 9016 KB ok, no valid answer
37 Correct 70 ms 9332 KB ok, no valid answer
38 Correct 3 ms 3456 KB ok, correct split
39 Correct 2 ms 3456 KB ok, no valid answer
40 Correct 3 ms 3456 KB ok, correct split
41 Correct 3 ms 3456 KB ok, correct split
42 Correct 3 ms 3456 KB ok, correct split
43 Correct 3 ms 3456 KB ok, correct split
44 Correct 3 ms 3456 KB ok, correct split
45 Correct 3 ms 3456 KB ok, correct split
46 Correct 5 ms 3712 KB ok, correct split
47 Correct 5 ms 3712 KB ok, correct split
48 Correct 3 ms 3456 KB ok, correct split
49 Correct 5 ms 3712 KB ok, correct split
50 Correct 3 ms 3456 KB ok, correct split
51 Correct 3 ms 3456 KB ok, correct split
52 Correct 3 ms 3456 KB ok, correct split
53 Correct 3 ms 3456 KB ok, correct split
54 Correct 3 ms 3456 KB ok, correct split
55 Correct 3 ms 3456 KB ok, correct split
56 Correct 3 ms 3456 KB ok, correct split
57 Correct 3 ms 3456 KB ok, correct split
58 Correct 5 ms 3712 KB ok, correct split
59 Correct 4 ms 3712 KB ok, correct split
60 Correct 5 ms 3712 KB ok, correct split
61 Correct 4 ms 3744 KB ok, correct split
62 Correct 4 ms 3712 KB ok, correct split
63 Correct 5 ms 3712 KB ok, correct split
64 Correct 5 ms 3712 KB ok, correct split
65 Correct 5 ms 3712 KB ok, correct split
66 Correct 4 ms 3456 KB ok, correct split
67 Correct 5 ms 3712 KB ok, correct split
68 Correct 3 ms 3456 KB ok, correct split
69 Correct 3 ms 3456 KB ok, correct split
70 Correct 3 ms 3456 KB ok, correct split
71 Correct 5 ms 3584 KB ok, correct split
72 Correct 5 ms 3584 KB ok, correct split
73 Correct 4 ms 3584 KB ok, correct split
74 Correct 5 ms 3712 KB ok, correct split
75 Correct 6 ms 3712 KB ok, correct split
76 Correct 6 ms 3712 KB ok, correct split
77 Correct 6 ms 3712 KB ok, correct split
78 Correct 4 ms 3584 KB ok, correct split
79 Correct 6 ms 3524 KB ok, correct split
80 Correct 5 ms 3712 KB ok, correct split
81 Correct 5 ms 3712 KB ok, correct split
82 Correct 6 ms 3712 KB ok, correct split
83 Correct 5 ms 3712 KB ok, correct split
84 Correct 4 ms 3712 KB ok, no valid answer
85 Correct 5 ms 3584 KB ok, correct split
86 Correct 5 ms 3712 KB ok, correct split
87 Correct 2 ms 3456 KB ok, no valid answer
88 Correct 3 ms 3456 KB ok, no valid answer
89 Correct 5 ms 3584 KB ok, no valid answer
90 Correct 6 ms 3712 KB ok, no valid answer
91 Correct 4 ms 3584 KB ok, no valid answer
92 Correct 6 ms 3584 KB ok, no valid answer
93 Correct 5 ms 3584 KB ok, no valid answer
94 Correct 144 ms 10756 KB ok, correct split
95 Correct 217 ms 12920 KB ok, correct split
96 Correct 162 ms 12152 KB ok, correct split
97 Correct 40 ms 6144 KB ok, correct split
98 Correct 39 ms 6272 KB ok, correct split
99 Correct 55 ms 7260 KB ok, correct split
100 Correct 173 ms 12920 KB ok, correct split
101 Correct 164 ms 12152 KB ok, correct split
102 Correct 149 ms 12148 KB ok, correct split
103 Correct 133 ms 12020 KB ok, correct split
104 Correct 140 ms 13764 KB ok, correct split
105 Correct 64 ms 7672 KB ok, correct split
106 Correct 120 ms 13296 KB ok, correct split
107 Correct 125 ms 10232 KB ok, correct split
108 Correct 124 ms 10360 KB ok, correct split
109 Correct 170 ms 12664 KB ok, correct split
110 Correct 175 ms 13044 KB ok, correct split
111 Correct 174 ms 13172 KB ok, correct split
112 Correct 179 ms 13368 KB ok, correct split
113 Correct 176 ms 13428 KB ok, correct split
114 Correct 16 ms 4480 KB ok, correct split
115 Correct 15 ms 4512 KB ok, correct split
116 Correct 174 ms 13032 KB ok, correct split
117 Correct 165 ms 12892 KB ok, correct split
118 Correct 153 ms 10360 KB ok, correct split
119 Correct 143 ms 10228 KB ok, correct split
120 Correct 139 ms 13816 KB ok, correct split
121 Correct 118 ms 10232 KB ok, no valid answer
122 Correct 114 ms 10360 KB ok, no valid answer
123 Correct 157 ms 12844 KB ok, no valid answer
124 Correct 158 ms 12920 KB ok, no valid answer
125 Correct 103 ms 11376 KB ok, no valid answer
126 Correct 61 ms 9968 KB ok, no valid answer
127 Correct 120 ms 11760 KB ok, no valid answer