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Submission #247549

# Submission time Handle Problem Language Result Execution time Memory
247549 2020-07-11T15:40:32 Z nvmdava Split the Attractions (IOI19_split) C++17
100 / 100
 179 ms 18952 KB 
#include "split.h"
#include <bits/stdc++.h>
using namespace std;

#define ff first
#define ss second

const int N = 100005;

int n;
vector<pair<int, int> > sad;
vector<int> res;

int dsu[N];
int find(int v){
	return v == dsu[v]? v : dsu[v] = find(dsu[v]);
}

vector<pair<int, int> > supp;
vector<int> adj1[N];

int sz[N];

int cen(int v, int p){
	sz[v] = 1;
	int w = -1;
	for(auto& x : adj1[v]){
		if(x == p) continue;
		w = max(w, cen(x, v));
		sz[v] += sz[x];
	}
	if(w != -1) return w;
	if(n - sz[v] <= n / 2) return v;
	return -1;
}

void mina(int v, int p, int c){
	if(sad[c].ff == 0) return;
	--sad[c].ff;
	res[v] = sad[c].ss;
	for(auto& x : adj1[v]){
		if(x == p) continue;
		mina(x, v, c);
	}
}

int col[N];
void pnt(int v, int p, int c){
	col[v] = c;
	++sz[c];
	for(auto& x : adj1[v]){
		if(x == p)
			continue;
		pnt(x, v, c);
	}
}

vector<int> adj2[N];
bool vis[N];

int ss;

bool dfs(int v, int r){
	vis[v] = 1;
	ss += sz[v];
	dsu[v] = r;
	if(ss >= sad[0].ff) return 1;
	for(auto& x : adj2[v])
		if(dsu[x] != r)
			if(dfs(x, r)) return 1;
	return 0;

}

void minari(int v, int c){
	if(sad[c].ff == 0) return;
	res[v] = sad[c].ss;
	--sad[c].ff;
	for(auto& x : adj1[v])
		if(col[x] == col[v] && !res[x])
			minari(x, c);
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
	::n = n;
	res.resize(n);
	for(int i = 0; i < n; ++i)
		dsu[i] = i;
	
	sad.push_back({a, 1});
	sad.push_back({b, 2});
	sad.push_back({c, 3});
	sort(sad.begin(), sad.end());

	for(int i = 0; i < p.size(); ++i){
		if(find(p[i]) == find(q[i])) supp.push_back({p[i], q[i]});
		else {
			dsu[find(p[i])] = find(q[i]);
			adj1[p[i]].push_back(q[i]);
			adj1[q[i]].push_back(p[i]);
		}
	}

	int r = cen(0, -1);
	cen(r, -1);

	for(int i = 0; i < adj1[r].size(); ++i){
		if(sz[adj1[r][i]] >= sad[0].ff){
			mina(adj1[r][i], r, 0);
			mina(r, adj1[r][i], 1);
			for(int j = 0; j < n; ++j)
				if(!res[j])
					res[j] = sad[2].ss;
			return res;
		}
	}


	for(int i = 0; i < n; ++i)
		sz[i] = 0;

	for(int i = 0; i < adj1[r].size(); ++i)
		pnt(adj1[r][i], r, i + 1);

	for(auto& x : supp){
		if(col[x.ff] == col[x.ss] || x.ff == r || x.ss == r) continue;
		adj2[col[x.ff]].push_back(col[x.ss]);
		adj2[col[x.ss]].push_back(col[x.ff]);
	}

	for(int i = 0; i < n; ++i)
		dsu[i] = i;

	for(int i = 0; i <= n; ++i){
		ss = 0;
		if(!vis[i] && dfs(i, i)){
			for(int j = 0; j < n; ++j){
				col[j] = dsu[col[j]];
				if(col[j] != i) col[j] = 0;
			}

			for(auto& x : supp){
				adj1[x.ff].push_back(x.ss);
				adj1[x.ss].push_back(x.ff);
			}

			minari(adj1[r][i - 1], 0);
			minari(r, 1);
			for(int j = 0; j < n; ++j)
				if(!res[j])
					res[j] = sad[2].ss;


			return res;
		}
	}


	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:95:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < p.size(); ++i){
                 ~~^~~~~~~~~~
split.cpp:107:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < adj1[r].size(); ++i){
                 ~~^~~~~~~~~~~~~~~~
split.cpp:122:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < adj1[r].size(); ++i)
                 ~~^~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 4992 KB ok, correct split
2 Correct 8 ms 4992 KB ok, correct split
3 Correct 9 ms 4992 KB ok, correct split
4 Correct 7 ms 4992 KB ok, correct split
5 Correct 7 ms 4992 KB ok, correct split
6 Correct 9 ms 4992 KB ok, correct split
7 Correct 134 ms 17272 KB ok, correct split
8 Correct 100 ms 15480 KB ok, correct split
9 Correct 106 ms 14852 KB ok, correct split
10 Correct 111 ms 17376 KB ok, correct split
11 Correct 116 ms 16248 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 4968 KB ok, correct split
2 Correct 8 ms 4992 KB ok, correct split
3 Correct 7 ms 4992 KB ok, correct split
4 Correct 115 ms 12504 KB ok, correct split
5 Correct 94 ms 11384 KB ok, correct split
6 Correct 120 ms 17272 KB ok, correct split
7 Correct 107 ms 15224 KB ok, correct split
8 Correct 135 ms 13484 KB ok, correct split
9 Correct 143 ms 11384 KB ok, correct split
10 Correct 65 ms 11736 KB ok, correct split
11 Correct 99 ms 11632 KB ok, correct split
12 Correct 63 ms 11632 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4992 KB ok, correct split
2 Correct 102 ms 11360 KB ok, correct split
3 Correct 36 ms 7552 KB ok, correct split
4 Correct 7 ms 4992 KB ok, correct split
5 Correct 102 ms 13304 KB ok, correct split
6 Correct 103 ms 13176 KB ok, correct split
7 Correct 105 ms 13176 KB ok, correct split
8 Correct 107 ms 14072 KB ok, correct split
9 Correct 105 ms 13176 KB ok, correct split
10 Correct 33 ms 7416 KB ok, no valid answer
11 Correct 46 ms 8440 KB ok, no valid answer
12 Correct 77 ms 12148 KB ok, no valid answer
13 Correct 104 ms 11896 KB ok, no valid answer
14 Correct 64 ms 12144 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4992 KB ok, correct split
2 Correct 7 ms 4992 KB ok, no valid answer
3 Correct 7 ms 5120 KB ok, correct split
4 Correct 7 ms 4992 KB ok, correct split
5 Correct 7 ms 4992 KB ok, correct split
6 Correct 7 ms 4992 KB ok, correct split
7 Correct 7 ms 4992 KB ok, correct split
8 Correct 7 ms 4992 KB ok, correct split
9 Correct 10 ms 5248 KB ok, correct split
10 Correct 9 ms 5248 KB ok, correct split
11 Correct 7 ms 5120 KB ok, correct split
12 Correct 10 ms 5376 KB ok, correct split
13 Correct 7 ms 4992 KB ok, correct split
14 Correct 7 ms 5120 KB ok, correct split
15 Correct 7 ms 5120 KB ok, correct split
16 Correct 8 ms 4992 KB ok, correct split
17 Correct 7 ms 4992 KB ok, correct split
18 Correct 7 ms 5120 KB ok, correct split
19 Correct 8 ms 5120 KB ok, correct split
20 Correct 8 ms 5120 KB ok, correct split
21 Correct 9 ms 5248 KB ok, correct split
22 Correct 9 ms 5248 KB ok, correct split
23 Correct 10 ms 5376 KB ok, correct split
24 Correct 9 ms 5248 KB ok, correct split
25 Correct 12 ms 5248 KB ok, correct split
26 Correct 9 ms 5376 KB ok, correct split
27 Correct 12 ms 5376 KB ok, correct split
28 Correct 9 ms 5248 KB ok, correct split
29 Correct 8 ms 5120 KB ok, correct split
30 Correct 10 ms 5376 KB ok, correct split
31 Correct 8 ms 5120 KB ok, correct split
32 Correct 8 ms 4992 KB ok, correct split
33 Correct 7 ms 4992 KB ok, correct split
34 Correct 9 ms 5248 KB ok, correct split
35 Correct 9 ms 5248 KB ok, correct split
36 Correct 9 ms 5248 KB ok, correct split
37 Correct 10 ms 5376 KB ok, correct split
38 Correct 10 ms 5376 KB ok, correct split
39 Correct 10 ms 5376 KB ok, correct split
40 Correct 10 ms 5376 KB ok, correct split
41 Correct 9 ms 5248 KB ok, correct split
42 Correct 9 ms 5120 KB ok, correct split
43 Correct 10 ms 5504 KB ok, correct split
44 Correct 10 ms 5376 KB ok, correct split
45 Correct 10 ms 5376 KB ok, correct split
46 Correct 10 ms 5248 KB ok, correct split
47 Correct 10 ms 5380 KB ok, no valid answer
48 Correct 9 ms 5248 KB ok, correct split
49 Correct 9 ms 5248 KB ok, correct split
50 Correct 7 ms 4992 KB ok, no valid answer
51 Correct 7 ms 4992 KB ok, no valid answer
52 Correct 9 ms 5248 KB ok, no valid answer
53 Correct 10 ms 5376 KB ok, no valid answer
54 Correct 9 ms 5248 KB ok, no valid answer
55 Correct 10 ms 5352 KB ok, no valid answer
56 Correct 9 ms 5300 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 4992 KB ok, correct split
2 Correct 8 ms 4992 KB ok, correct split
3 Correct 9 ms 4992 KB ok, correct split
4 Correct 7 ms 4992 KB ok, correct split
5 Correct 7 ms 4992 KB ok, correct split
6 Correct 9 ms 4992 KB ok, correct split
7 Correct 134 ms 17272 KB ok, correct split
8 Correct 100 ms 15480 KB ok, correct split
9 Correct 106 ms 14852 KB ok, correct split
10 Correct 111 ms 17376 KB ok, correct split
11 Correct 116 ms 16248 KB ok, correct split
12 Correct 8 ms 4968 KB ok, correct split
13 Correct 8 ms 4992 KB ok, correct split
14 Correct 7 ms 4992 KB ok, correct split
15 Correct 115 ms 12504 KB ok, correct split
16 Correct 94 ms 11384 KB ok, correct split
17 Correct 120 ms 17272 KB ok, correct split
18 Correct 107 ms 15224 KB ok, correct split
19 Correct 135 ms 13484 KB ok, correct split
20 Correct 143 ms 11384 KB ok, correct split
21 Correct 65 ms 11736 KB ok, correct split
22 Correct 99 ms 11632 KB ok, correct split
23 Correct 63 ms 11632 KB ok, correct split
24 Correct 9 ms 4992 KB ok, correct split
25 Correct 102 ms 11360 KB ok, correct split
26 Correct 36 ms 7552 KB ok, correct split
27 Correct 7 ms 4992 KB ok, correct split
28 Correct 102 ms 13304 KB ok, correct split
29 Correct 103 ms 13176 KB ok, correct split
30 Correct 105 ms 13176 KB ok, correct split
31 Correct 107 ms 14072 KB ok, correct split
32 Correct 105 ms 13176 KB ok, correct split
33 Correct 33 ms 7416 KB ok, no valid answer
34 Correct 46 ms 8440 KB ok, no valid answer
35 Correct 77 ms 12148 KB ok, no valid answer
36 Correct 104 ms 11896 KB ok, no valid answer
37 Correct 64 ms 12144 KB ok, no valid answer
38 Correct 7 ms 4992 KB ok, correct split
39 Correct 7 ms 4992 KB ok, no valid answer
40 Correct 7 ms 5120 KB ok, correct split
41 Correct 7 ms 4992 KB ok, correct split
42 Correct 7 ms 4992 KB ok, correct split
43 Correct 7 ms 4992 KB ok, correct split
44 Correct 7 ms 4992 KB ok, correct split
45 Correct 7 ms 4992 KB ok, correct split
46 Correct 10 ms 5248 KB ok, correct split
47 Correct 9 ms 5248 KB ok, correct split
48 Correct 7 ms 5120 KB ok, correct split
49 Correct 10 ms 5376 KB ok, correct split
50 Correct 7 ms 4992 KB ok, correct split
51 Correct 7 ms 5120 KB ok, correct split
52 Correct 7 ms 5120 KB ok, correct split
53 Correct 8 ms 4992 KB ok, correct split
54 Correct 7 ms 4992 KB ok, correct split
55 Correct 7 ms 5120 KB ok, correct split
56 Correct 8 ms 5120 KB ok, correct split
57 Correct 8 ms 5120 KB ok, correct split
58 Correct 9 ms 5248 KB ok, correct split
59 Correct 9 ms 5248 KB ok, correct split
60 Correct 10 ms 5376 KB ok, correct split
61 Correct 9 ms 5248 KB ok, correct split
62 Correct 12 ms 5248 KB ok, correct split
63 Correct 9 ms 5376 KB ok, correct split
64 Correct 12 ms 5376 KB ok, correct split
65 Correct 9 ms 5248 KB ok, correct split
66 Correct 8 ms 5120 KB ok, correct split
67 Correct 10 ms 5376 KB ok, correct split
68 Correct 8 ms 5120 KB ok, correct split
69 Correct 8 ms 4992 KB ok, correct split
70 Correct 7 ms 4992 KB ok, correct split
71 Correct 9 ms 5248 KB ok, correct split
72 Correct 9 ms 5248 KB ok, correct split
73 Correct 9 ms 5248 KB ok, correct split
74 Correct 10 ms 5376 KB ok, correct split
75 Correct 10 ms 5376 KB ok, correct split
76 Correct 10 ms 5376 KB ok, correct split
77 Correct 10 ms 5376 KB ok, correct split
78 Correct 9 ms 5248 KB ok, correct split
79 Correct 9 ms 5120 KB ok, correct split
80 Correct 10 ms 5504 KB ok, correct split
81 Correct 10 ms 5376 KB ok, correct split
82 Correct 10 ms 5376 KB ok, correct split
83 Correct 10 ms 5248 KB ok, correct split
84 Correct 10 ms 5380 KB ok, no valid answer
85 Correct 9 ms 5248 KB ok, correct split
86 Correct 9 ms 5248 KB ok, correct split
87 Correct 7 ms 4992 KB ok, no valid answer
88 Correct 7 ms 4992 KB ok, no valid answer
89 Correct 9 ms 5248 KB ok, no valid answer
90 Correct 10 ms 5376 KB ok, no valid answer
91 Correct 9 ms 5248 KB ok, no valid answer
92 Correct 10 ms 5352 KB ok, no valid answer
93 Correct 9 ms 5300 KB ok, no valid answer
94 Correct 106 ms 13184 KB ok, correct split
95 Correct 136 ms 15980 KB ok, correct split
96 Correct 146 ms 17900 KB ok, correct split
97 Correct 35 ms 8056 KB ok, correct split
98 Correct 38 ms 8184 KB ok, correct split
99 Correct 53 ms 9968 KB ok, correct split
100 Correct 129 ms 16108 KB ok, correct split
101 Correct 117 ms 14956 KB ok, correct split
102 Correct 153 ms 17128 KB ok, correct split
103 Correct 127 ms 16620 KB ok, correct split
104 Correct 109 ms 16496 KB ok, correct split
105 Correct 55 ms 9724 KB ok, correct split
106 Correct 102 ms 16280 KB ok, correct split
107 Correct 119 ms 12536 KB ok, correct split
108 Correct 103 ms 12536 KB ok, correct split
109 Correct 154 ms 15676 KB ok, correct split
110 Correct 179 ms 18284 KB ok, correct split
111 Correct 177 ms 18316 KB ok, correct split
112 Correct 179 ms 18896 KB ok, correct split
113 Correct 162 ms 18952 KB ok, correct split
114 Correct 21 ms 6656 KB ok, correct split
115 Correct 20 ms 6528 KB ok, correct split
116 Correct 125 ms 16108 KB ok, correct split
117 Correct 120 ms 15980 KB ok, correct split
118 Correct 98 ms 12536 KB ok, correct split
119 Correct 105 ms 12920 KB ok, correct split
120 Correct 160 ms 15224 KB ok, correct split
121 Correct 92 ms 13048 KB ok, no valid answer
122 Correct 97 ms 13112 KB ok, no valid answer
123 Correct 137 ms 16492 KB ok, no valid answer
124 Correct 148 ms 16492 KB ok, no valid answer
125 Correct 90 ms 14960 KB ok, no valid answer
126 Correct 58 ms 12704 KB ok, no valid answer
127 Correct 101 ms 15980 KB ok, no valid answer