답안 #244586

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
244586 2020-07-04T10:15:59 Z tictaccat Split the Attractions (IOI19_split) C++14
100 / 100
202 ms 40964 KB
#include "split.h"
#include <bits/stdc++.h>

using namespace std;

const int mx = 300000;
int sz[mx], sz2[mx];
bool explored[mx], explored2[mx], chosen[mx], A[mx], explored3[mx];
vector<int> mark(mx, 0), res, tbl(3);
vector<vector<int>> adj(mx), ch(mx), adj2(mx);
int n, cent, a, b, c, repA, repB;
bool valid;

void dfs(int u) {
	explored[u] = true;
	sz[u] = 1;
	bool works = true;
	for (int v: adj[u]) {
		if (explored[v]) continue;
		//cout << u << " " << v << "\n";
		ch[u].push_back(v);
		dfs(v);
		if (sz[v] > n/2) works = false;
		sz[u] += sz[v];
	}
	if (n - sz[u] > n/2) works = false;
	if (works) cent = u;
}

void dfs2(int u) {
	for (int v: ch[u]) {
		//cout << v << "\n";
		mark[v] = mark[u];
		dfs2(v);
	}
}

void dfs3(int u, vector<int>& comp) {
	explored2[u] = true;
	for (int v: adj2[u]) {
		if (explored2[v]) continue;
		comp.push_back(v);
		dfs3(v, comp);
	}
}

void dfs4(int u, int& cnt, bool inA) {
	explored3[u] = true;
	cnt++;
	if (inA && cnt <= a) {
		res[u] = tbl[0];
	}
	else if (!inA && cnt <= b) {
	//	cout << u << "\n";
		res[u] = tbl[1];
	}
	for (int v: adj[u]) {
		if (explored3[v] || A[v] != inA) continue;
		dfs4(v, cnt, inA);
	}
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
	::n = n;
	vector<int> arr = {a,b,c};
	tbl = {1,2,3};
	sort(tbl.begin(),tbl.end(),[&arr](int i, int j){return arr[i-1] < arr[j-1];});
	sort(arr.begin(),arr.end());
	a = arr[0];
	b = arr[1];
	c = arr[2];
	::a = a;
	::b = b;
	::c = c;
	//cout << tbl[0] << " " << tbl[1] << " " << tbl[2] << "\n";
	//assume a <= b <= c
	for (int i = 0; i < (int)p.size(); i++) {
		adj[p[i]].push_back(q[i]);
		adj[q[i]].push_back(p[i]);
	}
	dfs(2);

	//cout << cent << "\n";

	mark[cent] = -1;
	sz2[0] = n - sz[cent];
	for (int i = 0; i < (int)ch[cent].size(); i++) {
		int u = ch[cent][i];
		//cout << u << "\n";
		mark[u] = i+1;
		sz2[mark[u]] = sz[u];
		dfs2(u);
	}

	//cout << mark[7] << "\n";

	for (int i = 0; i < (int)p.size(); i++) {
		if (p[i] == cent || q[i] == cent) continue;
	//	cout << p[i] << " " << q[i] << "\n";
		if (mark[p[i]] != mark[q[i]]) {
			adj2[mark[p[i]]].push_back(mark[q[i]]);
			adj2[mark[q[i]]].push_back(mark[p[i]]);
			//cout << mark[p[i]] << " " << mark[q[i]] << "\n";
		}
	}

	for (int i = 0; i <= (int)ch[cent].size(); i++) {
		vector<int> comp;
		comp.push_back(i);
		dfs3(i, comp);
		int x = 0;
		for (int c: comp) {
			x += sz2[c];
		}
		//cout << x << "\n";
		if (x >= a) {
			sort(comp.begin(),comp.end(),[](int i, int j){return sz2[i] > sz2[j];});
			while (x - sz2[comp.back()] >= a) {
				x -= sz2[comp.back()];
				comp.pop_back();
			}
			//cout << comp[0] << "\n";
			for (int c: comp) chosen[c] = true;
			for (int i = 0; i < n; i++) {
				if (i == cent) continue;
				A[i] = chosen[mark[i]];
				if (A[i]) {
					//cout << i << " ";
					repA = i;
				}
				else repB = i;
			}
			//cout << "hooray\n";
			valid = true;
			break;
		}
	}

	if (valid) {
		res.assign(n,tbl[2]);
		int cnt = 0;
		//cout << repA << " " << repB << "\n";
		dfs4(repA, cnt, true);
		cnt = 0;
		dfs4(repB, cnt, false);
	}

	if (!valid) {
		res.assign(n,0);
	}

	return res;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 22656 KB ok, correct split
2 Correct 18 ms 22656 KB ok, correct split
3 Correct 18 ms 22656 KB ok, correct split
4 Correct 18 ms 22656 KB ok, correct split
5 Correct 25 ms 22656 KB ok, correct split
6 Correct 18 ms 22656 KB ok, correct split
7 Correct 199 ms 39032 KB ok, correct split
8 Correct 154 ms 40824 KB ok, correct split
9 Correct 157 ms 40312 KB ok, correct split
10 Correct 160 ms 40952 KB ok, correct split
11 Correct 146 ms 40952 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 22708 KB ok, correct split
2 Correct 19 ms 22656 KB ok, correct split
3 Correct 18 ms 22656 KB ok, correct split
4 Correct 172 ms 37760 KB ok, correct split
5 Correct 126 ms 31736 KB ok, correct split
6 Correct 148 ms 40952 KB ok, correct split
7 Correct 164 ms 38260 KB ok, correct split
8 Correct 192 ms 35432 KB ok, correct split
9 Correct 137 ms 33144 KB ok, correct split
10 Correct 78 ms 30832 KB ok, correct split
11 Correct 83 ms 30960 KB ok, correct split
12 Correct 79 ms 31344 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 22656 KB ok, correct split
2 Correct 127 ms 30648 KB ok, correct split
3 Correct 49 ms 25848 KB ok, correct split
4 Correct 18 ms 22656 KB ok, correct split
5 Correct 156 ms 35532 KB ok, correct split
6 Correct 153 ms 34680 KB ok, correct split
7 Correct 150 ms 35608 KB ok, correct split
8 Correct 133 ms 35192 KB ok, correct split
9 Correct 133 ms 34040 KB ok, correct split
10 Correct 45 ms 25208 KB ok, no valid answer
11 Correct 53 ms 26488 KB ok, no valid answer
12 Correct 98 ms 30068 KB ok, no valid answer
13 Correct 110 ms 30328 KB ok, no valid answer
14 Correct 79 ms 30064 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 22656 KB ok, correct split
2 Correct 19 ms 22656 KB ok, no valid answer
3 Correct 18 ms 22656 KB ok, correct split
4 Correct 18 ms 22656 KB ok, correct split
5 Correct 18 ms 22656 KB ok, correct split
6 Correct 18 ms 22656 KB ok, correct split
7 Correct 18 ms 22656 KB ok, correct split
8 Correct 20 ms 22688 KB ok, correct split
9 Correct 21 ms 23040 KB ok, correct split
10 Correct 21 ms 23040 KB ok, correct split
11 Correct 19 ms 22748 KB ok, correct split
12 Correct 21 ms 23040 KB ok, correct split
13 Correct 18 ms 22656 KB ok, correct split
14 Correct 20 ms 22656 KB ok, correct split
15 Correct 18 ms 22656 KB ok, correct split
16 Correct 20 ms 22784 KB ok, correct split
17 Correct 19 ms 22656 KB ok, correct split
18 Correct 18 ms 22656 KB ok, correct split
19 Correct 19 ms 22656 KB ok, correct split
20 Correct 19 ms 22784 KB ok, correct split
21 Correct 20 ms 23040 KB ok, correct split
22 Correct 20 ms 23040 KB ok, correct split
23 Correct 19 ms 23040 KB ok, correct split
24 Correct 22 ms 23040 KB ok, correct split
25 Correct 22 ms 23040 KB ok, correct split
26 Correct 22 ms 23040 KB ok, correct split
27 Correct 20 ms 23040 KB ok, correct split
28 Correct 21 ms 23040 KB ok, correct split
29 Correct 19 ms 22656 KB ok, correct split
30 Correct 20 ms 23040 KB ok, correct split
31 Correct 19 ms 22784 KB ok, correct split
32 Correct 19 ms 22656 KB ok, correct split
33 Correct 18 ms 22656 KB ok, correct split
34 Correct 21 ms 22912 KB ok, correct split
35 Correct 20 ms 22912 KB ok, correct split
36 Correct 19 ms 22912 KB ok, correct split
37 Correct 22 ms 23040 KB ok, correct split
38 Correct 21 ms 23040 KB ok, correct split
39 Correct 22 ms 23040 KB ok, correct split
40 Correct 23 ms 23040 KB ok, correct split
41 Correct 20 ms 22784 KB ok, correct split
42 Correct 20 ms 22784 KB ok, correct split
43 Correct 21 ms 23040 KB ok, correct split
44 Correct 21 ms 23040 KB ok, correct split
45 Correct 22 ms 23040 KB ok, correct split
46 Correct 21 ms 23040 KB ok, correct split
47 Correct 21 ms 22912 KB ok, no valid answer
48 Correct 20 ms 22912 KB ok, correct split
49 Correct 22 ms 23040 KB ok, correct split
50 Correct 18 ms 22656 KB ok, no valid answer
51 Correct 18 ms 22656 KB ok, no valid answer
52 Correct 22 ms 22904 KB ok, no valid answer
53 Correct 21 ms 23040 KB ok, no valid answer
54 Correct 21 ms 22912 KB ok, no valid answer
55 Correct 22 ms 22912 KB ok, no valid answer
56 Correct 22 ms 23040 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 19 ms 22656 KB ok, correct split
2 Correct 18 ms 22656 KB ok, correct split
3 Correct 18 ms 22656 KB ok, correct split
4 Correct 18 ms 22656 KB ok, correct split
5 Correct 25 ms 22656 KB ok, correct split
6 Correct 18 ms 22656 KB ok, correct split
7 Correct 199 ms 39032 KB ok, correct split
8 Correct 154 ms 40824 KB ok, correct split
9 Correct 157 ms 40312 KB ok, correct split
10 Correct 160 ms 40952 KB ok, correct split
11 Correct 146 ms 40952 KB ok, correct split
12 Correct 20 ms 22708 KB ok, correct split
13 Correct 19 ms 22656 KB ok, correct split
14 Correct 18 ms 22656 KB ok, correct split
15 Correct 172 ms 37760 KB ok, correct split
16 Correct 126 ms 31736 KB ok, correct split
17 Correct 148 ms 40952 KB ok, correct split
18 Correct 164 ms 38260 KB ok, correct split
19 Correct 192 ms 35432 KB ok, correct split
20 Correct 137 ms 33144 KB ok, correct split
21 Correct 78 ms 30832 KB ok, correct split
22 Correct 83 ms 30960 KB ok, correct split
23 Correct 79 ms 31344 KB ok, correct split
24 Correct 19 ms 22656 KB ok, correct split
25 Correct 127 ms 30648 KB ok, correct split
26 Correct 49 ms 25848 KB ok, correct split
27 Correct 18 ms 22656 KB ok, correct split
28 Correct 156 ms 35532 KB ok, correct split
29 Correct 153 ms 34680 KB ok, correct split
30 Correct 150 ms 35608 KB ok, correct split
31 Correct 133 ms 35192 KB ok, correct split
32 Correct 133 ms 34040 KB ok, correct split
33 Correct 45 ms 25208 KB ok, no valid answer
34 Correct 53 ms 26488 KB ok, no valid answer
35 Correct 98 ms 30068 KB ok, no valid answer
36 Correct 110 ms 30328 KB ok, no valid answer
37 Correct 79 ms 30064 KB ok, no valid answer
38 Correct 18 ms 22656 KB ok, correct split
39 Correct 19 ms 22656 KB ok, no valid answer
40 Correct 18 ms 22656 KB ok, correct split
41 Correct 18 ms 22656 KB ok, correct split
42 Correct 18 ms 22656 KB ok, correct split
43 Correct 18 ms 22656 KB ok, correct split
44 Correct 18 ms 22656 KB ok, correct split
45 Correct 20 ms 22688 KB ok, correct split
46 Correct 21 ms 23040 KB ok, correct split
47 Correct 21 ms 23040 KB ok, correct split
48 Correct 19 ms 22748 KB ok, correct split
49 Correct 21 ms 23040 KB ok, correct split
50 Correct 18 ms 22656 KB ok, correct split
51 Correct 20 ms 22656 KB ok, correct split
52 Correct 18 ms 22656 KB ok, correct split
53 Correct 20 ms 22784 KB ok, correct split
54 Correct 19 ms 22656 KB ok, correct split
55 Correct 18 ms 22656 KB ok, correct split
56 Correct 19 ms 22656 KB ok, correct split
57 Correct 19 ms 22784 KB ok, correct split
58 Correct 20 ms 23040 KB ok, correct split
59 Correct 20 ms 23040 KB ok, correct split
60 Correct 19 ms 23040 KB ok, correct split
61 Correct 22 ms 23040 KB ok, correct split
62 Correct 22 ms 23040 KB ok, correct split
63 Correct 22 ms 23040 KB ok, correct split
64 Correct 20 ms 23040 KB ok, correct split
65 Correct 21 ms 23040 KB ok, correct split
66 Correct 19 ms 22656 KB ok, correct split
67 Correct 20 ms 23040 KB ok, correct split
68 Correct 19 ms 22784 KB ok, correct split
69 Correct 19 ms 22656 KB ok, correct split
70 Correct 18 ms 22656 KB ok, correct split
71 Correct 21 ms 22912 KB ok, correct split
72 Correct 20 ms 22912 KB ok, correct split
73 Correct 19 ms 22912 KB ok, correct split
74 Correct 22 ms 23040 KB ok, correct split
75 Correct 21 ms 23040 KB ok, correct split
76 Correct 22 ms 23040 KB ok, correct split
77 Correct 23 ms 23040 KB ok, correct split
78 Correct 20 ms 22784 KB ok, correct split
79 Correct 20 ms 22784 KB ok, correct split
80 Correct 21 ms 23040 KB ok, correct split
81 Correct 21 ms 23040 KB ok, correct split
82 Correct 22 ms 23040 KB ok, correct split
83 Correct 21 ms 23040 KB ok, correct split
84 Correct 21 ms 22912 KB ok, no valid answer
85 Correct 20 ms 22912 KB ok, correct split
86 Correct 22 ms 23040 KB ok, correct split
87 Correct 18 ms 22656 KB ok, no valid answer
88 Correct 18 ms 22656 KB ok, no valid answer
89 Correct 22 ms 22904 KB ok, no valid answer
90 Correct 21 ms 23040 KB ok, no valid answer
91 Correct 21 ms 22912 KB ok, no valid answer
92 Correct 22 ms 22912 KB ok, no valid answer
93 Correct 22 ms 23040 KB ok, no valid answer
94 Correct 134 ms 35064 KB ok, correct split
95 Correct 196 ms 40964 KB ok, correct split
96 Correct 202 ms 39296 KB ok, correct split
97 Correct 48 ms 26232 KB ok, correct split
98 Correct 53 ms 26488 KB ok, correct split
99 Correct 80 ms 28920 KB ok, correct split
100 Correct 175 ms 36212 KB ok, correct split
101 Correct 157 ms 34808 KB ok, correct split
102 Correct 140 ms 34288 KB ok, correct split
103 Correct 138 ms 34056 KB ok, correct split
104 Correct 123 ms 34148 KB ok, correct split
105 Correct 74 ms 28664 KB ok, correct split
106 Correct 155 ms 38044 KB ok, correct split
107 Correct 119 ms 31736 KB ok, correct split
108 Correct 117 ms 31736 KB ok, correct split
109 Correct 166 ms 35448 KB ok, correct split
110 Correct 172 ms 37336 KB ok, correct split
111 Correct 188 ms 37488 KB ok, correct split
112 Correct 170 ms 36080 KB ok, correct split
113 Correct 160 ms 35952 KB ok, correct split
114 Correct 31 ms 24320 KB ok, correct split
115 Correct 29 ms 24064 KB ok, correct split
116 Correct 167 ms 37360 KB ok, correct split
117 Correct 183 ms 37232 KB ok, correct split
118 Correct 120 ms 33144 KB ok, correct split
119 Correct 127 ms 33144 KB ok, correct split
120 Correct 135 ms 37880 KB ok, correct split
121 Correct 109 ms 31608 KB ok, no valid answer
122 Correct 110 ms 31480 KB ok, no valid answer
123 Correct 173 ms 36216 KB ok, no valid answer
124 Correct 168 ms 35832 KB ok, no valid answer
125 Correct 120 ms 32624 KB ok, no valid answer
126 Correct 78 ms 30376 KB ok, no valid answer
127 Correct 123 ms 33520 KB ok, no valid answer