oj.uz

Submission #526016

# Submission time Handle Problem Language Result Execution time Memory
526016 2022-02-13T14:07:47 Z qwerasdfzxcl Split the Attractions (IOI19_split) C++14
100 / 100
 161 ms 16856 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
struct DSU{
    int path[100100], sz[100100];
    void init(int n){for (int i=0;i<n;i++) path[i] = i, sz[i] = 1;}
    int find(int s){
        if (s==path[s]) return s;
        return path[s] = find(path[s]);
    }
    bool merge(int s, int v){
        s = find(s), v = find(v);
        if (s==v) return 0;
        path[s] = v;
        sz[v] += sz[s];
        return 1;
    }
    int getsz(int s){return sz[find(s)];}
}dsu;
int n, a, b, c, sz[100100], sidx[100100], idx[5];
vector<int> adj[100100], ret;

int getsz(int s, int pa = -1){
    sz[s] = 1;
    for (auto &v:adj[s]) if (v!=pa) sz[s] += getsz(v, s);
    return sz[s];
}

int cent;
int getcent(int s, int pa = -1){
    for (auto &v:adj[s]) if (v!=pa && sz[v]*2>=n) return getcent(v, s);
    return s;
}

void dfs(int s, int val, int pa){
    sidx[s] = val;
    for (auto &v:adj[s]) if (v!=pa) dfs(v, val, s);
}

int cnt0 = 0;
void dfs0(int s){
    if (cnt0>=a) return;
    ++cnt0;
    ret[s] = idx[1];
    for (auto &v:adj[s]) if (!ret[v] && v!=cent) dfs0(v);
}

int cnt1 = 0;
void dfs1(int s){
    if (cnt1>=b) return;
    ret[s] = idx[2];
    ++cnt1;
    for (auto &v:adj[s]) if (!ret[v]) dfs1(v);
}

void solve_tree(){
    getsz(0);
    cent = getcent(0);
    getsz(cent);

    int cnt = 1;
    dsu.init(n);
    for (auto &v:adj[cent]) dfs(v, cnt++, cent);
    for (auto &v:adj[cent]) dsu.sz[sidx[v]] = sz[v];

    for (auto &v:adj[cent]) if (sz[v]>=a){
        dfs0(v);
        dfs1(cent);
        for (auto &x:ret) if (!x) x = idx[3];
        return;
    }
}

vector<int> find_split(int N, int A, int B, int C, vector<int> p, vector<int> q) {
    ret.resize(N);
	n = N;
	vector<pair<int, int>> tmp;
	tmp.emplace_back(A, 1);
	tmp.emplace_back(B, 2);
	tmp.emplace_back(C, 3);

	sort(tmp.begin(), tmp.end());
	a = tmp[0].first, b = tmp[1].first, c = tmp[2].first;
	idx[1] = tmp[0].second, idx[2] = tmp[1].second, idx[3] = tmp[2].second;

	vector<pair<int, int>> E;
	dsu.init(n);

	for (int i=0;i<(int)p.size();i++) {
        if (dsu.merge(p[i], q[i])){
            adj[p[i]].push_back(q[i]);
            adj[q[i]].push_back(p[i]);
        }
        else E.emplace_back(p[i], q[i]);
	}

	solve_tree();
	if (ret[0]) return ret;


	int v = -1;
	for (auto &p:E) if (p.first!=cent && p.second!=cent){
        if (dsu.merge(sidx[p.first], sidx[p.second])){
            adj[p.first].push_back(p.second);
            adj[p.second].push_back(p.first);
        }

        if (dsu.getsz(sidx[p.first])>=a){
            dfs0(p.first);
            v = p.first;
            break;
        }
	}
	if (v==-1) return ret;

	dfs1(cent);

	for (auto &x:ret) if (!x) x = idx[3];
	return ret;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB ok, correct split
2 Correct 2 ms 2636 KB ok, correct split
3 Correct 2 ms 2636 KB ok, correct split
4 Correct 1 ms 2656 KB ok, correct split
5 Correct 2 ms 2636 KB ok, correct split
6 Correct 2 ms 2652 KB ok, correct split
7 Correct 101 ms 16740 KB ok, correct split
8 Correct 101 ms 14984 KB ok, correct split
9 Correct 127 ms 14388 KB ok, correct split
10 Correct 100 ms 16836 KB ok, correct split
11 Correct 91 ms 15800 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2648 KB ok, correct split
2 Correct 2 ms 2636 KB ok, correct split
3 Correct 2 ms 2652 KB ok, correct split
4 Correct 83 ms 12572 KB ok, correct split
5 Correct 68 ms 10948 KB ok, correct split
6 Correct 112 ms 16856 KB ok, correct split
7 Correct 88 ms 14816 KB ok, correct split
8 Correct 97 ms 13976 KB ok, correct split
9 Correct 79 ms 10820 KB ok, correct split
10 Correct 48 ms 10812 KB ok, correct split
11 Correct 56 ms 10828 KB ok, correct split
12 Correct 47 ms 11228 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2652 KB ok, correct split
2 Correct 100 ms 10948 KB ok, correct split
3 Correct 24 ms 5980 KB ok, correct split
4 Correct 2 ms 2636 KB ok, correct split
5 Correct 82 ms 12884 KB ok, correct split
6 Correct 91 ms 12632 KB ok, correct split
7 Correct 83 ms 12640 KB ok, correct split
8 Correct 80 ms 13632 KB ok, correct split
9 Correct 125 ms 12628 KB ok, correct split
10 Correct 19 ms 5352 KB ok, no valid answer
11 Correct 33 ms 6732 KB ok, no valid answer
12 Correct 69 ms 11084 KB ok, no valid answer
13 Correct 108 ms 10948 KB ok, no valid answer
14 Correct 47 ms 11228 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2648 KB ok, correct split
2 Correct 3 ms 2764 KB ok, no valid answer
3 Correct 2 ms 2636 KB ok, correct split
4 Correct 2 ms 2636 KB ok, correct split
5 Correct 2 ms 2636 KB ok, correct split
6 Correct 1 ms 2636 KB ok, correct split
7 Correct 2 ms 2636 KB ok, correct split
8 Correct 2 ms 2652 KB ok, correct split
9 Correct 3 ms 2892 KB ok, correct split
10 Correct 3 ms 2916 KB ok, correct split
11 Correct 2 ms 2648 KB ok, correct split
12 Correct 3 ms 2892 KB ok, correct split
13 Correct 2 ms 2636 KB ok, correct split
14 Correct 2 ms 2636 KB ok, correct split
15 Correct 2 ms 2636 KB ok, correct split
16 Correct 2 ms 2636 KB ok, correct split
17 Correct 1 ms 2636 KB ok, correct split
18 Correct 2 ms 2640 KB ok, correct split
19 Correct 2 ms 2636 KB ok, correct split
20 Correct 2 ms 2640 KB ok, correct split
21 Correct 4 ms 2920 KB ok, correct split
22 Correct 8 ms 2904 KB ok, correct split
23 Correct 3 ms 2896 KB ok, correct split
24 Correct 3 ms 2896 KB ok, correct split
25 Correct 3 ms 2896 KB ok, correct split
26 Correct 3 ms 2892 KB ok, correct split
27 Correct 3 ms 2904 KB ok, correct split
28 Correct 3 ms 2904 KB ok, correct split
29 Correct 2 ms 2668 KB ok, correct split
30 Correct 4 ms 2932 KB ok, correct split
31 Correct 2 ms 2636 KB ok, correct split
32 Correct 2 ms 2636 KB ok, correct split
33 Correct 2 ms 2636 KB ok, correct split
34 Correct 3 ms 2892 KB ok, correct split
35 Correct 3 ms 2892 KB ok, correct split
36 Correct 3 ms 2764 KB ok, correct split
37 Correct 4 ms 2916 KB ok, correct split
38 Correct 4 ms 2920 KB ok, correct split
39 Correct 4 ms 2892 KB ok, correct split
40 Correct 3 ms 2956 KB ok, correct split
41 Correct 6 ms 2792 KB ok, correct split
42 Correct 3 ms 2764 KB ok, correct split
43 Correct 5 ms 2892 KB ok, correct split
44 Correct 5 ms 2892 KB ok, correct split
45 Correct 4 ms 2892 KB ok, correct split
46 Correct 6 ms 2916 KB ok, correct split
47 Correct 3 ms 2920 KB ok, no valid answer
48 Correct 6 ms 2764 KB ok, correct split
49 Correct 6 ms 2820 KB ok, correct split
50 Correct 4 ms 2636 KB ok, no valid answer
51 Correct 1 ms 2636 KB ok, no valid answer
52 Correct 3 ms 2764 KB ok, no valid answer
53 Correct 7 ms 2892 KB ok, no valid answer
54 Correct 2 ms 2764 KB ok, no valid answer
55 Correct 6 ms 2920 KB ok, no valid answer
56 Correct 6 ms 2796 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB ok, correct split
2 Correct 2 ms 2636 KB ok, correct split
3 Correct 2 ms 2636 KB ok, correct split
4 Correct 1 ms 2656 KB ok, correct split
5 Correct 2 ms 2636 KB ok, correct split
6 Correct 2 ms 2652 KB ok, correct split
7 Correct 101 ms 16740 KB ok, correct split
8 Correct 101 ms 14984 KB ok, correct split
9 Correct 127 ms 14388 KB ok, correct split
10 Correct 100 ms 16836 KB ok, correct split
11 Correct 91 ms 15800 KB ok, correct split
12 Correct 2 ms 2648 KB ok, correct split
13 Correct 2 ms 2636 KB ok, correct split
14 Correct 2 ms 2652 KB ok, correct split
15 Correct 83 ms 12572 KB ok, correct split
16 Correct 68 ms 10948 KB ok, correct split
17 Correct 112 ms 16856 KB ok, correct split
18 Correct 88 ms 14816 KB ok, correct split
19 Correct 97 ms 13976 KB ok, correct split
20 Correct 79 ms 10820 KB ok, correct split
21 Correct 48 ms 10812 KB ok, correct split
22 Correct 56 ms 10828 KB ok, correct split
23 Correct 47 ms 11228 KB ok, correct split
24 Correct 2 ms 2652 KB ok, correct split
25 Correct 100 ms 10948 KB ok, correct split
26 Correct 24 ms 5980 KB ok, correct split
27 Correct 2 ms 2636 KB ok, correct split
28 Correct 82 ms 12884 KB ok, correct split
29 Correct 91 ms 12632 KB ok, correct split
30 Correct 83 ms 12640 KB ok, correct split
31 Correct 80 ms 13632 KB ok, correct split
32 Correct 125 ms 12628 KB ok, correct split
33 Correct 19 ms 5352 KB ok, no valid answer
34 Correct 33 ms 6732 KB ok, no valid answer
35 Correct 69 ms 11084 KB ok, no valid answer
36 Correct 108 ms 10948 KB ok, no valid answer
37 Correct 47 ms 11228 KB ok, no valid answer
38 Correct 2 ms 2648 KB ok, correct split
39 Correct 3 ms 2764 KB ok, no valid answer
40 Correct 2 ms 2636 KB ok, correct split
41 Correct 2 ms 2636 KB ok, correct split
42 Correct 2 ms 2636 KB ok, correct split
43 Correct 1 ms 2636 KB ok, correct split
44 Correct 2 ms 2636 KB ok, correct split
45 Correct 2 ms 2652 KB ok, correct split
46 Correct 3 ms 2892 KB ok, correct split
47 Correct 3 ms 2916 KB ok, correct split
48 Correct 2 ms 2648 KB ok, correct split
49 Correct 3 ms 2892 KB ok, correct split
50 Correct 2 ms 2636 KB ok, correct split
51 Correct 2 ms 2636 KB ok, correct split
52 Correct 2 ms 2636 KB ok, correct split
53 Correct 2 ms 2636 KB ok, correct split
54 Correct 1 ms 2636 KB ok, correct split
55 Correct 2 ms 2640 KB ok, correct split
56 Correct 2 ms 2636 KB ok, correct split
57 Correct 2 ms 2640 KB ok, correct split
58 Correct 4 ms 2920 KB ok, correct split
59 Correct 8 ms 2904 KB ok, correct split
60 Correct 3 ms 2896 KB ok, correct split
61 Correct 3 ms 2896 KB ok, correct split
62 Correct 3 ms 2896 KB ok, correct split
63 Correct 3 ms 2892 KB ok, correct split
64 Correct 3 ms 2904 KB ok, correct split
65 Correct 3 ms 2904 KB ok, correct split
66 Correct 2 ms 2668 KB ok, correct split
67 Correct 4 ms 2932 KB ok, correct split
68 Correct 2 ms 2636 KB ok, correct split
69 Correct 2 ms 2636 KB ok, correct split
70 Correct 2 ms 2636 KB ok, correct split
71 Correct 3 ms 2892 KB ok, correct split
72 Correct 3 ms 2892 KB ok, correct split
73 Correct 3 ms 2764 KB ok, correct split
74 Correct 4 ms 2916 KB ok, correct split
75 Correct 4 ms 2920 KB ok, correct split
76 Correct 4 ms 2892 KB ok, correct split
77 Correct 3 ms 2956 KB ok, correct split
78 Correct 6 ms 2792 KB ok, correct split
79 Correct 3 ms 2764 KB ok, correct split
80 Correct 5 ms 2892 KB ok, correct split
81 Correct 5 ms 2892 KB ok, correct split
82 Correct 4 ms 2892 KB ok, correct split
83 Correct 6 ms 2916 KB ok, correct split
84 Correct 3 ms 2920 KB ok, no valid answer
85 Correct 6 ms 2764 KB ok, correct split
86 Correct 6 ms 2820 KB ok, correct split
87 Correct 4 ms 2636 KB ok, no valid answer
88 Correct 1 ms 2636 KB ok, no valid answer
89 Correct 3 ms 2764 KB ok, no valid answer
90 Correct 7 ms 2892 KB ok, no valid answer
91 Correct 2 ms 2764 KB ok, no valid answer
92 Correct 6 ms 2920 KB ok, no valid answer
93 Correct 6 ms 2796 KB ok, no valid answer
94 Correct 86 ms 11512 KB ok, correct split
95 Correct 106 ms 14296 KB ok, correct split
96 Correct 101 ms 13300 KB ok, correct split
97 Correct 26 ms 5936 KB ok, correct split
98 Correct 27 ms 6064 KB ok, correct split
99 Correct 36 ms 7632 KB ok, correct split
100 Correct 97 ms 14292 KB ok, correct split
101 Correct 161 ms 13292 KB ok, correct split
102 Correct 92 ms 13368 KB ok, correct split
103 Correct 77 ms 13092 KB ok, correct split
104 Correct 82 ms 14908 KB ok, correct split
105 Correct 39 ms 7760 KB ok, correct split
106 Correct 78 ms 14640 KB ok, correct split
107 Correct 73 ms 10868 KB ok, correct split
108 Correct 69 ms 10852 KB ok, correct split
109 Correct 99 ms 13960 KB ok, correct split
110 Correct 115 ms 14428 KB ok, correct split
111 Correct 132 ms 14548 KB ok, correct split
112 Correct 124 ms 14688 KB ok, correct split
113 Correct 99 ms 14844 KB ok, correct split
114 Correct 14 ms 3932 KB ok, correct split
115 Correct 10 ms 3852 KB ok, correct split
116 Correct 86 ms 14456 KB ok, correct split
117 Correct 86 ms 14368 KB ok, correct split
118 Correct 90 ms 10932 KB ok, correct split
119 Correct 76 ms 10892 KB ok, correct split
120 Correct 84 ms 13260 KB ok, correct split
121 Correct 71 ms 10860 KB ok, no valid answer
122 Correct 71 ms 10972 KB ok, no valid answer
123 Correct 124 ms 14292 KB ok, no valid answer
124 Correct 119 ms 14424 KB ok, no valid answer
125 Correct 75 ms 12208 KB ok, no valid answer
126 Correct 51 ms 10556 KB ok, no valid answer
127 Correct 133 ms 12744 KB ok, no valid answer