oj.uz

Submission #525853

# Submission time Handle Problem Language Result Execution time Memory
525853 2022-02-13T03:40:47 Z qwerasdfzxcl Split the Attractions (IOI19_split) C++14
100 / 100
 120 ms 15696 KB 
#include "split.h"
#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, int pa = -1){
    if (cnt0>=a) return;
    ++cnt0;
    ret[s] = idx[1];
    for (auto &v:adj[s]) if (v!=pa && v!=cent) dfs0(v, s);
}

int cnt1 = 0;
void dfs1(int s, int x, int pa = -1){
    if (cnt1>=b) return;
    ret[s] = idx[2];
    ++cnt1;
    for (auto &v:adj[s]) if (v!=pa && !ret[v]) dfs1(v, x, s);
}

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, sidx[v]);
        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);
            assert(cnt0==a);
            v = p.first;
            break;
        }
	}
	if (v==-1) return ret;

	dfs1(cent, sidx[v]);
	if (cnt1!=b) exit(1);

	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 1 ms 2636 KB ok, correct split
3 Correct 1 ms 2636 KB ok, correct split
4 Correct 1 ms 2636 KB ok, correct split
5 Correct 2 ms 2636 KB ok, correct split
6 Correct 2 ms 2636 KB ok, correct split
7 Correct 85 ms 15600 KB ok, correct split
8 Correct 84 ms 13836 KB ok, correct split
9 Correct 83 ms 13236 KB ok, correct split
10 Correct 86 ms 15696 KB ok, correct split
11 Correct 103 ms 14660 KB ok, correct split

Subtask #2
11.0 / 11.0

# 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 77 ms 10864 KB ok, correct split
5 Correct 71 ms 9776 KB ok, correct split
6 Correct 96 ms 15596 KB ok, correct split
7 Correct 92 ms 13656 KB ok, correct split
8 Correct 88 ms 11812 KB ok, correct split
9 Correct 68 ms 9652 KB ok, correct split
10 Correct 46 ms 10044 KB ok, correct split
11 Correct 47 ms 10188 KB ok, correct split
12 Correct 46 ms 9952 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2636 KB ok, correct split
2 Correct 98 ms 9784 KB ok, correct split
3 Correct 26 ms 5488 KB ok, correct split
4 Correct 2 ms 2636 KB ok, correct split
5 Correct 75 ms 11732 KB ok, correct split
6 Correct 80 ms 11560 KB ok, correct split
7 Correct 86 ms 11536 KB ok, correct split
8 Correct 90 ms 12464 KB ok, correct split
9 Correct 75 ms 11500 KB ok, correct split
10 Correct 19 ms 4976 KB ok, no valid answer
11 Correct 27 ms 6220 KB ok, no valid answer
12 Correct 53 ms 10012 KB ok, no valid answer
13 Correct 61 ms 9744 KB ok, no valid answer
14 Correct 48 ms 10044 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB ok, correct split
2 Correct 2 ms 2636 KB ok, no valid answer
3 Correct 1 ms 2636 KB ok, correct split
4 Correct 1 ms 2636 KB ok, correct split
5 Correct 1 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 2636 KB ok, correct split
9 Correct 3 ms 2892 KB ok, correct split
10 Correct 3 ms 2892 KB ok, correct split
11 Correct 3 ms 2764 KB ok, correct split
12 Correct 4 ms 2808 KB ok, correct split
13 Correct 2 ms 2628 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 2 ms 2636 KB ok, correct split
18 Correct 2 ms 2636 KB ok, correct split
19 Correct 2 ms 2636 KB ok, correct split
20 Correct 3 ms 2660 KB ok, correct split
21 Correct 3 ms 2844 KB ok, correct split
22 Correct 3 ms 2776 KB ok, correct split
23 Correct 3 ms 2912 KB ok, correct split
24 Correct 3 ms 2892 KB ok, correct split
25 Correct 3 ms 2892 KB ok, correct split
26 Correct 4 ms 2964 KB ok, correct split
27 Correct 3 ms 2892 KB ok, correct split
28 Correct 3 ms 2864 KB ok, correct split
29 Correct 2 ms 2660 KB ok, correct split
30 Correct 4 ms 2856 KB ok, correct split
31 Correct 3 ms 2636 KB ok, correct split
32 Correct 2 ms 2636 KB ok, correct split
33 Correct 2 ms 2656 KB ok, correct split
34 Correct 4 ms 2892 KB ok, correct split
35 Correct 3 ms 2788 KB ok, correct split
36 Correct 3 ms 2764 KB ok, correct split
37 Correct 4 ms 2892 KB ok, correct split
38 Correct 3 ms 2892 KB ok, correct split
39 Correct 4 ms 2924 KB ok, correct split
40 Correct 3 ms 2892 KB ok, correct split
41 Correct 3 ms 2764 KB ok, correct split
42 Correct 3 ms 2764 KB ok, correct split
43 Correct 3 ms 2892 KB ok, correct split
44 Correct 3 ms 2892 KB ok, correct split
45 Correct 3 ms 2892 KB ok, correct split
46 Correct 3 ms 2892 KB ok, correct split
47 Correct 3 ms 2892 KB ok, no valid answer
48 Correct 3 ms 2764 KB ok, correct split
49 Correct 3 ms 2892 KB ok, correct split
50 Correct 2 ms 2636 KB ok, no valid answer
51 Correct 2 ms 2636 KB ok, no valid answer
52 Correct 4 ms 2788 KB ok, no valid answer
53 Correct 3 ms 2892 KB ok, no valid answer
54 Correct 3 ms 2764 KB ok, no valid answer
55 Correct 3 ms 2916 KB ok, no valid answer
56 Correct 4 ms 2892 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 1 ms 2636 KB ok, correct split
3 Correct 1 ms 2636 KB ok, correct split
4 Correct 1 ms 2636 KB ok, correct split
5 Correct 2 ms 2636 KB ok, correct split
6 Correct 2 ms 2636 KB ok, correct split
7 Correct 85 ms 15600 KB ok, correct split
8 Correct 84 ms 13836 KB ok, correct split
9 Correct 83 ms 13236 KB ok, correct split
10 Correct 86 ms 15696 KB ok, correct split
11 Correct 103 ms 14660 KB ok, correct split
12 Correct 2 ms 2636 KB ok, correct split
13 Correct 2 ms 2636 KB ok, correct split
14 Correct 2 ms 2636 KB ok, correct split
15 Correct 77 ms 10864 KB ok, correct split
16 Correct 71 ms 9776 KB ok, correct split
17 Correct 96 ms 15596 KB ok, correct split
18 Correct 92 ms 13656 KB ok, correct split
19 Correct 88 ms 11812 KB ok, correct split
20 Correct 68 ms 9652 KB ok, correct split
21 Correct 46 ms 10044 KB ok, correct split
22 Correct 47 ms 10188 KB ok, correct split
23 Correct 46 ms 9952 KB ok, correct split
24 Correct 1 ms 2636 KB ok, correct split
25 Correct 98 ms 9784 KB ok, correct split
26 Correct 26 ms 5488 KB ok, correct split
27 Correct 2 ms 2636 KB ok, correct split
28 Correct 75 ms 11732 KB ok, correct split
29 Correct 80 ms 11560 KB ok, correct split
30 Correct 86 ms 11536 KB ok, correct split
31 Correct 90 ms 12464 KB ok, correct split
32 Correct 75 ms 11500 KB ok, correct split
33 Correct 19 ms 4976 KB ok, no valid answer
34 Correct 27 ms 6220 KB ok, no valid answer
35 Correct 53 ms 10012 KB ok, no valid answer
36 Correct 61 ms 9744 KB ok, no valid answer
37 Correct 48 ms 10044 KB ok, no valid answer
38 Correct 2 ms 2636 KB ok, correct split
39 Correct 2 ms 2636 KB ok, no valid answer
40 Correct 1 ms 2636 KB ok, correct split
41 Correct 1 ms 2636 KB ok, correct split
42 Correct 1 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 2636 KB ok, correct split
46 Correct 3 ms 2892 KB ok, correct split
47 Correct 3 ms 2892 KB ok, correct split
48 Correct 3 ms 2764 KB ok, correct split
49 Correct 4 ms 2808 KB ok, correct split
50 Correct 2 ms 2628 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 2 ms 2636 KB ok, correct split
55 Correct 2 ms 2636 KB ok, correct split
56 Correct 2 ms 2636 KB ok, correct split
57 Correct 3 ms 2660 KB ok, correct split
58 Correct 3 ms 2844 KB ok, correct split
59 Correct 3 ms 2776 KB ok, correct split
60 Correct 3 ms 2912 KB ok, correct split
61 Correct 3 ms 2892 KB ok, correct split
62 Correct 3 ms 2892 KB ok, correct split
63 Correct 4 ms 2964 KB ok, correct split
64 Correct 3 ms 2892 KB ok, correct split
65 Correct 3 ms 2864 KB ok, correct split
66 Correct 2 ms 2660 KB ok, correct split
67 Correct 4 ms 2856 KB ok, correct split
68 Correct 3 ms 2636 KB ok, correct split
69 Correct 2 ms 2636 KB ok, correct split
70 Correct 2 ms 2656 KB ok, correct split
71 Correct 4 ms 2892 KB ok, correct split
72 Correct 3 ms 2788 KB ok, correct split
73 Correct 3 ms 2764 KB ok, correct split
74 Correct 4 ms 2892 KB ok, correct split
75 Correct 3 ms 2892 KB ok, correct split
76 Correct 4 ms 2924 KB ok, correct split
77 Correct 3 ms 2892 KB ok, correct split
78 Correct 3 ms 2764 KB ok, correct split
79 Correct 3 ms 2764 KB ok, correct split
80 Correct 3 ms 2892 KB ok, correct split
81 Correct 3 ms 2892 KB ok, correct split
82 Correct 3 ms 2892 KB ok, correct split
83 Correct 3 ms 2892 KB ok, correct split
84 Correct 3 ms 2892 KB ok, no valid answer
85 Correct 3 ms 2764 KB ok, correct split
86 Correct 3 ms 2892 KB ok, correct split
87 Correct 2 ms 2636 KB ok, no valid answer
88 Correct 2 ms 2636 KB ok, no valid answer
89 Correct 4 ms 2788 KB ok, no valid answer
90 Correct 3 ms 2892 KB ok, no valid answer
91 Correct 3 ms 2764 KB ok, no valid answer
92 Correct 3 ms 2916 KB ok, no valid answer
93 Correct 4 ms 2892 KB ok, no valid answer
94 Correct 82 ms 11632 KB ok, correct split
95 Correct 120 ms 14300 KB ok, correct split
96 Correct 89 ms 13296 KB ok, correct split
97 Correct 28 ms 5972 KB ok, correct split
98 Correct 35 ms 6056 KB ok, correct split
99 Correct 35 ms 7632 KB ok, correct split
100 Correct 93 ms 14392 KB ok, correct split
101 Correct 81 ms 13312 KB ok, correct split
102 Correct 85 ms 13392 KB ok, correct split
103 Correct 71 ms 13100 KB ok, correct split
104 Correct 73 ms 14924 KB ok, correct split
105 Correct 40 ms 7764 KB ok, correct split
106 Correct 70 ms 14556 KB ok, correct split
107 Correct 71 ms 10988 KB ok, correct split
108 Correct 81 ms 10840 KB ok, correct split
109 Correct 89 ms 13972 KB ok, correct split
110 Correct 103 ms 14428 KB ok, correct split
111 Correct 105 ms 14556 KB ok, correct split
112 Correct 103 ms 14680 KB ok, correct split
113 Correct 109 ms 14808 KB ok, correct split
114 Correct 12 ms 3916 KB ok, correct split
115 Correct 10 ms 3808 KB ok, correct split
116 Correct 83 ms 14416 KB ok, correct split
117 Correct 92 ms 14340 KB ok, correct split
118 Correct 84 ms 10840 KB ok, correct split
119 Correct 82 ms 10904 KB ok, correct split
120 Correct 77 ms 13252 KB ok, correct split
121 Correct 64 ms 10900 KB ok, no valid answer
122 Correct 63 ms 10968 KB ok, no valid answer
123 Correct 104 ms 14300 KB ok, no valid answer
124 Correct 99 ms 14392 KB ok, no valid answer
125 Correct 85 ms 12220 KB ok, no valid answer
126 Correct 51 ms 10556 KB ok, no valid answer
127 Correct 71 ms 12752 KB ok, no valid answer