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Submission #198516

# Submission time Handle Problem Language Result Execution time Memory
198516 2020-01-26T12:50:00 Z Akashi Split the Attractions (IOI19_split) C++14
100 / 100
 248 ms 34032 KB 
#include "split.h"
#include <bits/stdc++.h>
using namespace std;

const int SZ = 2e5 + 5;

vector <int> vg[SZ], va[SZ];

int n;
int d[SZ], Max[SZ];
bool viz[SZ];

void dfs(int nod){
	viz[nod] = 1; d[nod] = 1;
	for(auto it : vg[nod]){
		if(viz[it]) continue ;
		
		va[it].push_back(nod);
		va[nod].push_back(it);
		
		dfs(it);
		d[nod] += d[it];
		Max[nod] = max(Max[nod], d[it]);
	}
}

int find_centroid(int nod){
	viz[nod] = 1;
	
	if(max(Max[nod], n - d[nod]) <= n / 2) return nod;
	
	for(auto it : va[nod]){
		if(viz[it]) continue ;
		int x = find_centroid(it);
		if(x) return x;
	}
	
	return 0;
}

vector <int> comp[SZ];
int id[SZ], RG[SZ];

inline int find(int x){
	int R = x;
	while(R != id[R]) R = id[R];
	
	while(id[x] != R){
		int aux = id[x];
		id[x] = R;
		x = aux;
	}
	return R;
}

inline void unite(int x, int y){
	if(x == y) return ;
	if(RG[x] >= RG[y]) id[y] = x, RG[x] += RG[y];
	else id[x] = y, RG[y] += RG[x];
}

void make_comp(int nod, int NR){
	comp[NR].push_back(nod);
	
	viz[nod] = 1;
	for(auto it : va[nod]){
		if(viz[it]) continue ;
		unite(find(it), find(nod));
		make_comp(it, NR);
	}
}

void merge_comp(int nod, int &am, int a){
	if(am >= a) return ;
	viz[nod] = 1;
	for(auto it : vg[nod]){
		if(viz[it]) continue ;
		if(find(it) == find(nod)) merge_comp(it, am, a);
		else{
			unite(find(nod), find(it));
			am = RG[find(nod)];
			if(am >= a) return ;
			merge_comp(it, am, a);
		}
	}
	return ;
}

int cul[SZ];
int rem;
void paint_comp(int nod, int c){
	if(rem == 0) return ;
	viz[nod] = 1;
	--rem;
	cul[nod] = c;

	for(auto it : vg[nod]){
		if(viz[it] || cul[it] || find(it) != find(nod)) continue ;
		if(rem) paint_comp(it, c);
	}
}

vector<int> res;
vector<int> find_split(int N, int a, int b, int c, vector<int> p, vector<int> q) {
	n = N;
	res.resize(n);
	int m = p.size();
	for(int i = 0; i < m ; ++i){
		vg[p[i] + 1].push_back(q[i] + 1);
		vg[q[i] + 1].push_back(p[i] + 1);
	}
		
	int ca = 1, cb = 2, cc = 3;
	if(a > b) swap(a, b), swap(ca, cb);
	if(a > c) swap(a, c), swap(ca, cc);
	if(b > c) swap(b, c), swap(cb, cc);
	
	for(int i = 1; i <= n ; ++i) id[i] = i, RG[i] = 1;
	
	dfs(1);
	memset(viz, 0, sizeof(viz));
	int nod = find_centroid(1);
		
	memset(viz, 0, sizeof(viz));
	int NR = 0;
	viz[nod] = 1;
	for(auto it : va[nod]){
		make_comp(it, NR);
		NR++;
	}
	
	bool found = false;
	int wh = 0;
	for(int i = 0; i < NR ; ++i){
		if(comp[i].size() >= a){
			found = true;
			wh = comp[i][0];
			break ;
		}
	}
	
	//cerr << found << endl;
	if(!found){
		memset(viz, 0, sizeof(viz));
		viz[nod] = 1;
		for(int i = 0; i < NR ; ++i){
			int x = RG[find(comp[i][0])];
			merge_comp(comp[i][0], x, a);
			if(x >= a){
				wh = comp[i][0];
				break ;
			}
		}
	}

	if(wh == 0) return res;
	
	memset(viz, 0, sizeof(viz));
	viz[nod] = 1;
	
	rem = a;
	paint_comp(wh, ca);
	
	for(int i = 1; i <= n ; ++i) unite(find(i), find(nod));
	memset(viz, 0, sizeof(viz));
	rem = b;
	paint_comp(nod, cb);
	
	for(int i = 0; i < n ; ++i){
		if(cul[i + 1] == 0) cul[i + 1] = cc; 
		res[i] = cul[i + 1];
	}
	return res;
}

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:135:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(comp[i].size() >= a){
      ~~~~~~~~~~~~~~~^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 14584 KB ok, correct split
2 Correct 15 ms 14584 KB ok, correct split
3 Correct 14 ms 14584 KB ok, correct split
4 Correct 15 ms 14584 KB ok, correct split
5 Correct 15 ms 14584 KB ok, correct split
6 Correct 15 ms 14584 KB ok, correct split
7 Correct 196 ms 31732 KB ok, correct split
8 Correct 190 ms 29816 KB ok, correct split
9 Correct 180 ms 29300 KB ok, correct split
10 Correct 161 ms 31988 KB ok, correct split
11 Correct 172 ms 32116 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14584 KB ok, correct split
2 Correct 16 ms 14584 KB ok, correct split
3 Correct 14 ms 14584 KB ok, correct split
4 Correct 200 ms 29628 KB ok, correct split
5 Correct 150 ms 26080 KB ok, correct split
6 Correct 171 ms 31964 KB ok, correct split
7 Correct 206 ms 29680 KB ok, correct split
8 Correct 233 ms 27768 KB ok, correct split
9 Correct 181 ms 25780 KB ok, correct split
10 Correct 113 ms 28784 KB ok, correct split
11 Correct 125 ms 28656 KB ok, correct split
12 Correct 106 ms 28656 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14584 KB ok, correct split
2 Correct 142 ms 25976 KB ok, correct split
3 Correct 57 ms 19084 KB ok, correct split
4 Correct 16 ms 14584 KB ok, correct split
5 Correct 203 ms 27768 KB ok, correct split
6 Correct 171 ms 27768 KB ok, correct split
7 Correct 200 ms 27512 KB ok, correct split
8 Correct 184 ms 28512 KB ok, correct split
9 Correct 189 ms 27384 KB ok, correct split
10 Correct 49 ms 18296 KB ok, no valid answer
11 Correct 69 ms 20216 KB ok, no valid answer
12 Correct 127 ms 27384 KB ok, no valid answer
13 Correct 166 ms 25848 KB ok, no valid answer
14 Correct 115 ms 28272 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14584 KB ok, correct split
2 Correct 14 ms 14584 KB ok, no valid answer
3 Correct 15 ms 14584 KB ok, correct split
4 Correct 18 ms 14584 KB ok, correct split
5 Correct 16 ms 14584 KB ok, correct split
6 Correct 16 ms 14584 KB ok, correct split
7 Correct 14 ms 14584 KB ok, correct split
8 Correct 16 ms 14584 KB ok, correct split
9 Correct 18 ms 14968 KB ok, correct split
10 Correct 17 ms 15000 KB ok, correct split
11 Correct 17 ms 14712 KB ok, correct split
12 Correct 19 ms 14968 KB ok, correct split
13 Correct 15 ms 14584 KB ok, correct split
14 Correct 15 ms 14584 KB ok, correct split
15 Correct 15 ms 14584 KB ok, correct split
16 Correct 15 ms 14584 KB ok, correct split
17 Correct 14 ms 14584 KB ok, correct split
18 Correct 15 ms 14584 KB ok, correct split
19 Correct 15 ms 14712 KB ok, correct split
20 Correct 17 ms 14712 KB ok, correct split
21 Correct 19 ms 15020 KB ok, correct split
22 Correct 18 ms 15096 KB ok, correct split
23 Correct 16 ms 14968 KB ok, correct split
24 Correct 17 ms 14968 KB ok, correct split
25 Correct 18 ms 14968 KB ok, correct split
26 Correct 17 ms 14968 KB ok, correct split
27 Correct 17 ms 15096 KB ok, correct split
28 Correct 18 ms 15096 KB ok, correct split
29 Correct 15 ms 14712 KB ok, correct split
30 Correct 17 ms 15100 KB ok, correct split
31 Correct 16 ms 14712 KB ok, correct split
32 Correct 15 ms 14712 KB ok, correct split
33 Correct 15 ms 14712 KB ok, correct split
34 Correct 17 ms 14972 KB ok, correct split
35 Correct 18 ms 14968 KB ok, correct split
36 Correct 17 ms 14968 KB ok, correct split
37 Correct 19 ms 15096 KB ok, correct split
38 Correct 18 ms 14968 KB ok, correct split
39 Correct 18 ms 15096 KB ok, correct split
40 Correct 17 ms 14968 KB ok, correct split
41 Correct 17 ms 14840 KB ok, correct split
42 Correct 16 ms 14840 KB ok, correct split
43 Correct 18 ms 14968 KB ok, correct split
44 Correct 19 ms 15096 KB ok, correct split
45 Correct 19 ms 14972 KB ok, correct split
46 Correct 17 ms 14968 KB ok, correct split
47 Correct 17 ms 14968 KB ok, no valid answer
48 Correct 17 ms 14968 KB ok, correct split
49 Correct 20 ms 14968 KB ok, correct split
50 Correct 15 ms 14584 KB ok, no valid answer
51 Correct 15 ms 14584 KB ok, no valid answer
52 Correct 16 ms 14968 KB ok, no valid answer
53 Correct 18 ms 14968 KB ok, no valid answer
54 Correct 17 ms 14968 KB ok, no valid answer
55 Correct 18 ms 14968 KB ok, no valid answer
56 Correct 20 ms 14968 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 14584 KB ok, correct split
2 Correct 15 ms 14584 KB ok, correct split
3 Correct 14 ms 14584 KB ok, correct split
4 Correct 15 ms 14584 KB ok, correct split
5 Correct 15 ms 14584 KB ok, correct split
6 Correct 15 ms 14584 KB ok, correct split
7 Correct 196 ms 31732 KB ok, correct split
8 Correct 190 ms 29816 KB ok, correct split
9 Correct 180 ms 29300 KB ok, correct split
10 Correct 161 ms 31988 KB ok, correct split
11 Correct 172 ms 32116 KB ok, correct split
12 Correct 15 ms 14584 KB ok, correct split
13 Correct 16 ms 14584 KB ok, correct split
14 Correct 14 ms 14584 KB ok, correct split
15 Correct 200 ms 29628 KB ok, correct split
16 Correct 150 ms 26080 KB ok, correct split
17 Correct 171 ms 31964 KB ok, correct split
18 Correct 206 ms 29680 KB ok, correct split
19 Correct 233 ms 27768 KB ok, correct split
20 Correct 181 ms 25780 KB ok, correct split
21 Correct 113 ms 28784 KB ok, correct split
22 Correct 125 ms 28656 KB ok, correct split
23 Correct 106 ms 28656 KB ok, correct split
24 Correct 14 ms 14584 KB ok, correct split
25 Correct 142 ms 25976 KB ok, correct split
26 Correct 57 ms 19084 KB ok, correct split
27 Correct 16 ms 14584 KB ok, correct split
28 Correct 203 ms 27768 KB ok, correct split
29 Correct 171 ms 27768 KB ok, correct split
30 Correct 200 ms 27512 KB ok, correct split
31 Correct 184 ms 28512 KB ok, correct split
32 Correct 189 ms 27384 KB ok, correct split
33 Correct 49 ms 18296 KB ok, no valid answer
34 Correct 69 ms 20216 KB ok, no valid answer
35 Correct 127 ms 27384 KB ok, no valid answer
36 Correct 166 ms 25848 KB ok, no valid answer
37 Correct 115 ms 28272 KB ok, no valid answer
38 Correct 15 ms 14584 KB ok, correct split
39 Correct 14 ms 14584 KB ok, no valid answer
40 Correct 15 ms 14584 KB ok, correct split
41 Correct 18 ms 14584 KB ok, correct split
42 Correct 16 ms 14584 KB ok, correct split
43 Correct 16 ms 14584 KB ok, correct split
44 Correct 14 ms 14584 KB ok, correct split
45 Correct 16 ms 14584 KB ok, correct split
46 Correct 18 ms 14968 KB ok, correct split
47 Correct 17 ms 15000 KB ok, correct split
48 Correct 17 ms 14712 KB ok, correct split
49 Correct 19 ms 14968 KB ok, correct split
50 Correct 15 ms 14584 KB ok, correct split
51 Correct 15 ms 14584 KB ok, correct split
52 Correct 15 ms 14584 KB ok, correct split
53 Correct 15 ms 14584 KB ok, correct split
54 Correct 14 ms 14584 KB ok, correct split
55 Correct 15 ms 14584 KB ok, correct split
56 Correct 15 ms 14712 KB ok, correct split
57 Correct 17 ms 14712 KB ok, correct split
58 Correct 19 ms 15020 KB ok, correct split
59 Correct 18 ms 15096 KB ok, correct split
60 Correct 16 ms 14968 KB ok, correct split
61 Correct 17 ms 14968 KB ok, correct split
62 Correct 18 ms 14968 KB ok, correct split
63 Correct 17 ms 14968 KB ok, correct split
64 Correct 17 ms 15096 KB ok, correct split
65 Correct 18 ms 15096 KB ok, correct split
66 Correct 15 ms 14712 KB ok, correct split
67 Correct 17 ms 15100 KB ok, correct split
68 Correct 16 ms 14712 KB ok, correct split
69 Correct 15 ms 14712 KB ok, correct split
70 Correct 15 ms 14712 KB ok, correct split
71 Correct 17 ms 14972 KB ok, correct split
72 Correct 18 ms 14968 KB ok, correct split
73 Correct 17 ms 14968 KB ok, correct split
74 Correct 19 ms 15096 KB ok, correct split
75 Correct 18 ms 14968 KB ok, correct split
76 Correct 18 ms 15096 KB ok, correct split
77 Correct 17 ms 14968 KB ok, correct split
78 Correct 17 ms 14840 KB ok, correct split
79 Correct 16 ms 14840 KB ok, correct split
80 Correct 18 ms 14968 KB ok, correct split
81 Correct 19 ms 15096 KB ok, correct split
82 Correct 19 ms 14972 KB ok, correct split
83 Correct 17 ms 14968 KB ok, correct split
84 Correct 17 ms 14968 KB ok, no valid answer
85 Correct 17 ms 14968 KB ok, correct split
86 Correct 20 ms 14968 KB ok, correct split
87 Correct 15 ms 14584 KB ok, no valid answer
88 Correct 15 ms 14584 KB ok, no valid answer
89 Correct 16 ms 14968 KB ok, no valid answer
90 Correct 18 ms 14968 KB ok, no valid answer
91 Correct 17 ms 14968 KB ok, no valid answer
92 Correct 18 ms 14968 KB ok, no valid answer
93 Correct 20 ms 14968 KB ok, no valid answer
94 Correct 180 ms 29424 KB ok, correct split
95 Correct 242 ms 34032 KB ok, correct split
96 Correct 216 ms 32500 KB ok, correct split
97 Correct 56 ms 19576 KB ok, correct split
98 Correct 54 ms 19704 KB ok, correct split
99 Correct 82 ms 21556 KB ok, correct split
100 Correct 205 ms 30584 KB ok, correct split
101 Correct 198 ms 29432 KB ok, correct split
102 Correct 188 ms 29808 KB ok, correct split
103 Correct 182 ms 29808 KB ok, correct split
104 Correct 183 ms 30732 KB ok, correct split
105 Correct 96 ms 22524 KB ok, correct split
106 Correct 188 ms 32872 KB ok, correct split
107 Correct 149 ms 27128 KB ok, correct split
108 Correct 163 ms 27000 KB ok, correct split
109 Correct 248 ms 30072 KB ok, correct split
110 Correct 221 ms 30064 KB ok, correct split
111 Correct 229 ms 30064 KB ok, correct split
112 Correct 196 ms 30320 KB ok, correct split
113 Correct 200 ms 30192 KB ok, correct split
114 Correct 28 ms 16504 KB ok, correct split
115 Correct 28 ms 16368 KB ok, correct split
116 Correct 203 ms 30064 KB ok, correct split
117 Correct 197 ms 29808 KB ok, correct split
118 Correct 162 ms 27124 KB ok, correct split
119 Correct 172 ms 26976 KB ok, correct split
120 Correct 160 ms 30196 KB ok, correct split
121 Correct 142 ms 26744 KB ok, no valid answer
122 Correct 140 ms 27260 KB ok, no valid answer
123 Correct 217 ms 30368 KB ok, no valid answer
124 Correct 228 ms 30244 KB ok, no valid answer
125 Correct 173 ms 29680 KB ok, no valid answer
126 Correct 104 ms 28144 KB ok, no valid answer
127 Correct 179 ms 29428 KB ok, no valid answer