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Submission #285612

# Submission time Handle Problem Language Result Execution time Memory
285612 2020-08-29T10:26:12 Z MKopchev Split the Attractions (IOI19_split) C++14
100 / 100
 254 ms 28652 KB 
#include "split.h"
#include<bits/stdc++.h>

using namespace std;

const int nmax=2e5+42;

pair<int,int> edges[nmax];

int n,m;

pair<int/*size*/,int/*colour*/> given[3];

vector<int> outp;

vector< pair<int,int> > extra,create_first;

int SZ[nmax],parent[nmax];
int root(int node)
{
    if(parent[node]==node)return node;
    parent[node]=root(parent[node]);
    return parent[node];
}
vector<int> adj[nmax],all_adj[nmax];

int centroid;

void dfs(int node,int par)
{
    SZ[node]=1;

    for(auto k:adj[node])
        if(k!=par)
        {
            dfs(k,node);
            SZ[node]+=SZ[k];
        }
}
int find_centroid()
{
    dfs(0,0);

    int ret=0;

    while(SZ[ret]>SZ[0]/2)
    {
        bool stop=1;

        for(auto k:adj[ret])
            if(SZ[ret]>SZ[k]&&SZ[k]>SZ[0]/2)
            {
                stop=0;
                ret=k;
                break;
            }

        if(stop)break;
    }
    return ret;
}

void dfs_create_adj(int node)
{
    //cout<<"dfs_create_adj "<<node<<endl;

    if(given[0].first==0)return;

    if(outp[node])return;

    given[0].first--;
    outp[node]=given[0].second;

    //cout<<node<<" -> "<<outp[node]<<endl;

    for(auto k:adj[node])
        dfs_create_adj(k);
}

void dfs_create_all(int node)
{
    //cout<<"dfs_create_all "<<node<<endl;

    if(given[1].first==0)return;

    if(outp[node])return;

    given[1].first--;
    outp[node]=given[1].second;

    //cout<<node<<" -> "<<outp[node]<<endl;

    for(auto k:all_adj[node])
        dfs_create_all(k);
}

void fill_dumb()
{
    for(auto &k:outp)
        if(k==0)
        {
            k=given[2].second;
            given[2].first--;
        }
    assert(given[0].first==0&&given[1].first==0&&given[2].first==0);
}

void push(vector< pair<int,int> > cur)
{
    if(given[0].first==1)
    {
        dfs_create_adj((centroid==0?1:0));
        dfs_create_all(centroid);
        fill_dumb();

        return;
    }

    for(auto k:cur)
        if(k.first!=centroid&&k.second!=centroid&&root(k.first)!=root(k.second))
        {
            adj[k.first].push_back(k.second);
            adj[k.second].push_back(k.first);

            //cout<<"pushed "<<k.first<<" "<<k.second<<endl;

            SZ[root(k.first)]+=SZ[root(k.second)];
            parent[root(k.second)]=root(k.first);

            if(SZ[root(k.first)]>=given[0].first)
            {
                dfs_create_adj(k.first);
                dfs_create_all(centroid);
                fill_dumb();

                return;
            }
        }
}
vector<int> find_split(int N, int a, int b, int c, vector<int> p, vector<int> q)
{
    n=N;

    outp={};

    for(int i=0;i<n;i++)
    {
        outp.push_back(0);
        all_adj[i]={};
    }

	m=p.size();

	given[0]={a,1};
	given[1]={b,2};
	given[2]={c,3};

	sort(given,given+3);

	for(int i=0;i<m;i++)
    {
        edges[i]={p[i],q[i]};

        all_adj[p[i]].push_back(q[i]);
        all_adj[q[i]].push_back(p[i]);
    }

    for(int i=0;i<n;i++)
    {
        SZ[i]=1;
        parent[i]=i;
    }

    for(int i=0;i<m;i++)
        if(root(p[i])!=root(q[i]))
        {
            SZ[root(p[i])]+=SZ[root(q[i])];
            parent[root(q[i])]=root(p[i]);

            adj[p[i]].push_back(q[i]);
            adj[q[i]].push_back(p[i]);

            create_first.push_back({p[i],q[i]});
        }
        else extra.push_back({p[i],q[i]});

    centroid=find_centroid();

    //cout<<"centroid= "<<centroid<<endl;

    for(int i=0;i<n;i++)
    {
        adj[i]={};
        SZ[i]=1;
        parent[i]=i;
    }

    push(create_first);

    if(outp[0])return outp;

    push(extra);

    return outp;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 175 ms 27116 KB ok, correct split
8 Correct 154 ms 25196 KB ok, correct split
9 Correct 157 ms 24684 KB ok, correct split
10 Correct 147 ms 27116 KB ok, correct split
11 Correct 166 ms 26220 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 174 ms 23212 KB ok, correct split
5 Correct 133 ms 21356 KB ok, correct split
6 Correct 174 ms 27116 KB ok, correct split
7 Correct 165 ms 25068 KB ok, correct split
8 Correct 221 ms 25324 KB ok, correct split
9 Correct 168 ms 21100 KB ok, correct split
10 Correct 91 ms 21868 KB ok, correct split
11 Correct 93 ms 21996 KB ok, correct split
12 Correct 94 ms 21868 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 159 ms 21356 KB ok, correct split
3 Correct 45 ms 14320 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 164 ms 23148 KB ok, correct split
6 Correct 162 ms 23020 KB ok, correct split
7 Correct 169 ms 22768 KB ok, correct split
8 Correct 178 ms 23916 KB ok, correct split
9 Correct 173 ms 22636 KB ok, correct split
10 Correct 41 ms 13564 KB ok, no valid answer
11 Correct 58 ms 15472 KB ok, no valid answer
12 Correct 118 ms 21868 KB ok, no valid answer
13 Correct 141 ms 21356 KB ok, no valid answer
14 Correct 91 ms 21868 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 8 ms 9728 KB ok, no valid answer
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 7 ms 9728 KB ok, correct split
8 Correct 7 ms 9728 KB ok, correct split
9 Correct 10 ms 10112 KB ok, correct split
10 Correct 10 ms 10112 KB ok, correct split
11 Correct 7 ms 9728 KB ok, correct split
12 Correct 10 ms 10240 KB ok, correct split
13 Correct 7 ms 9728 KB ok, correct split
14 Correct 8 ms 9728 KB ok, correct split
15 Correct 7 ms 9728 KB ok, correct split
16 Correct 8 ms 9728 KB ok, correct split
17 Correct 8 ms 9728 KB ok, correct split
18 Correct 7 ms 9728 KB ok, correct split
19 Correct 7 ms 9728 KB ok, correct split
20 Correct 9 ms 9856 KB ok, correct split
21 Correct 9 ms 10112 KB ok, correct split
22 Correct 9 ms 10112 KB ok, correct split
23 Correct 9 ms 10112 KB ok, correct split
24 Correct 9 ms 10112 KB ok, correct split
25 Correct 9 ms 10112 KB ok, correct split
26 Correct 10 ms 10240 KB ok, correct split
27 Correct 11 ms 10240 KB ok, correct split
28 Correct 10 ms 10240 KB ok, correct split
29 Correct 7 ms 9728 KB ok, correct split
30 Correct 10 ms 10240 KB ok, correct split
31 Correct 8 ms 9856 KB ok, correct split
32 Correct 7 ms 9856 KB ok, correct split
33 Correct 7 ms 9728 KB ok, correct split
34 Correct 9 ms 10112 KB ok, correct split
35 Correct 10 ms 10112 KB ok, correct split
36 Correct 9 ms 10032 KB ok, correct split
37 Correct 11 ms 10240 KB ok, correct split
38 Correct 10 ms 10244 KB ok, correct split
39 Correct 10 ms 10240 KB ok, correct split
40 Correct 10 ms 10240 KB ok, correct split
41 Correct 9 ms 9976 KB ok, correct split
42 Correct 8 ms 9984 KB ok, correct split
43 Correct 10 ms 10240 KB ok, correct split
44 Correct 11 ms 10176 KB ok, correct split
45 Correct 10 ms 10240 KB ok, correct split
46 Correct 9 ms 10112 KB ok, correct split
47 Correct 9 ms 10112 KB ok, no valid answer
48 Correct 9 ms 10112 KB ok, correct split
49 Correct 9 ms 10112 KB ok, correct split
50 Correct 8 ms 9728 KB ok, no valid answer
51 Correct 6 ms 9728 KB ok, no valid answer
52 Correct 9 ms 10112 KB ok, no valid answer
53 Correct 12 ms 10240 KB ok, no valid answer
54 Correct 10 ms 10028 KB ok, no valid answer
55 Correct 9 ms 10112 KB ok, no valid answer
56 Correct 9 ms 10112 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9728 KB ok, correct split
2 Correct 7 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 7 ms 9728 KB ok, correct split
6 Correct 7 ms 9728 KB ok, correct split
7 Correct 175 ms 27116 KB ok, correct split
8 Correct 154 ms 25196 KB ok, correct split
9 Correct 157 ms 24684 KB ok, correct split
10 Correct 147 ms 27116 KB ok, correct split
11 Correct 166 ms 26220 KB ok, correct split
12 Correct 7 ms 9728 KB ok, correct split
13 Correct 7 ms 9728 KB ok, correct split
14 Correct 7 ms 9728 KB ok, correct split
15 Correct 174 ms 23212 KB ok, correct split
16 Correct 133 ms 21356 KB ok, correct split
17 Correct 174 ms 27116 KB ok, correct split
18 Correct 165 ms 25068 KB ok, correct split
19 Correct 221 ms 25324 KB ok, correct split
20 Correct 168 ms 21100 KB ok, correct split
21 Correct 91 ms 21868 KB ok, correct split
22 Correct 93 ms 21996 KB ok, correct split
23 Correct 94 ms 21868 KB ok, correct split
24 Correct 7 ms 9728 KB ok, correct split
25 Correct 159 ms 21356 KB ok, correct split
26 Correct 45 ms 14320 KB ok, correct split
27 Correct 7 ms 9728 KB ok, correct split
28 Correct 164 ms 23148 KB ok, correct split
29 Correct 162 ms 23020 KB ok, correct split
30 Correct 169 ms 22768 KB ok, correct split
31 Correct 178 ms 23916 KB ok, correct split
32 Correct 173 ms 22636 KB ok, correct split
33 Correct 41 ms 13564 KB ok, no valid answer
34 Correct 58 ms 15472 KB ok, no valid answer
35 Correct 118 ms 21868 KB ok, no valid answer
36 Correct 141 ms 21356 KB ok, no valid answer
37 Correct 91 ms 21868 KB ok, no valid answer
38 Correct 7 ms 9728 KB ok, correct split
39 Correct 8 ms 9728 KB ok, no valid answer
40 Correct 7 ms 9728 KB ok, correct split
41 Correct 7 ms 9728 KB ok, correct split
42 Correct 7 ms 9728 KB ok, correct split
43 Correct 7 ms 9728 KB ok, correct split
44 Correct 7 ms 9728 KB ok, correct split
45 Correct 7 ms 9728 KB ok, correct split
46 Correct 10 ms 10112 KB ok, correct split
47 Correct 10 ms 10112 KB ok, correct split
48 Correct 7 ms 9728 KB ok, correct split
49 Correct 10 ms 10240 KB ok, correct split
50 Correct 7 ms 9728 KB ok, correct split
51 Correct 8 ms 9728 KB ok, correct split
52 Correct 7 ms 9728 KB ok, correct split
53 Correct 8 ms 9728 KB ok, correct split
54 Correct 8 ms 9728 KB ok, correct split
55 Correct 7 ms 9728 KB ok, correct split
56 Correct 7 ms 9728 KB ok, correct split
57 Correct 9 ms 9856 KB ok, correct split
58 Correct 9 ms 10112 KB ok, correct split
59 Correct 9 ms 10112 KB ok, correct split
60 Correct 9 ms 10112 KB ok, correct split
61 Correct 9 ms 10112 KB ok, correct split
62 Correct 9 ms 10112 KB ok, correct split
63 Correct 10 ms 10240 KB ok, correct split
64 Correct 11 ms 10240 KB ok, correct split
65 Correct 10 ms 10240 KB ok, correct split
66 Correct 7 ms 9728 KB ok, correct split
67 Correct 10 ms 10240 KB ok, correct split
68 Correct 8 ms 9856 KB ok, correct split
69 Correct 7 ms 9856 KB ok, correct split
70 Correct 7 ms 9728 KB ok, correct split
71 Correct 9 ms 10112 KB ok, correct split
72 Correct 10 ms 10112 KB ok, correct split
73 Correct 9 ms 10032 KB ok, correct split
74 Correct 11 ms 10240 KB ok, correct split
75 Correct 10 ms 10244 KB ok, correct split
76 Correct 10 ms 10240 KB ok, correct split
77 Correct 10 ms 10240 KB ok, correct split
78 Correct 9 ms 9976 KB ok, correct split
79 Correct 8 ms 9984 KB ok, correct split
80 Correct 10 ms 10240 KB ok, correct split
81 Correct 11 ms 10176 KB ok, correct split
82 Correct 10 ms 10240 KB ok, correct split
83 Correct 9 ms 10112 KB ok, correct split
84 Correct 9 ms 10112 KB ok, no valid answer
85 Correct 9 ms 10112 KB ok, correct split
86 Correct 9 ms 10112 KB ok, correct split
87 Correct 8 ms 9728 KB ok, no valid answer
88 Correct 6 ms 9728 KB ok, no valid answer
89 Correct 9 ms 10112 KB ok, no valid answer
90 Correct 12 ms 10240 KB ok, no valid answer
91 Correct 10 ms 10028 KB ok, no valid answer
92 Correct 9 ms 10112 KB ok, no valid answer
93 Correct 9 ms 10112 KB ok, no valid answer
94 Correct 223 ms 23916 KB ok, correct split
95 Correct 254 ms 28652 KB ok, correct split
96 Correct 217 ms 26348 KB ok, correct split
97 Correct 49 ms 14812 KB ok, correct split
98 Correct 52 ms 15088 KB ok, correct split
99 Correct 80 ms 17428 KB ok, correct split
100 Correct 217 ms 27884 KB ok, correct split
101 Correct 199 ms 26456 KB ok, correct split
102 Correct 177 ms 26348 KB ok, correct split
103 Correct 182 ms 25636 KB ok, correct split
104 Correct 178 ms 28396 KB ok, correct split
105 Correct 85 ms 17648 KB ok, correct split
106 Correct 195 ms 28016 KB ok, correct split
107 Correct 179 ms 22656 KB ok, correct split
108 Correct 169 ms 22508 KB ok, correct split
109 Correct 250 ms 27372 KB ok, correct split
110 Correct 212 ms 27756 KB ok, correct split
111 Correct 238 ms 27784 KB ok, correct split
112 Correct 221 ms 28000 KB ok, correct split
113 Correct 221 ms 27832 KB ok, correct split
114 Correct 21 ms 11776 KB ok, correct split
115 Correct 21 ms 11520 KB ok, correct split
116 Correct 188 ms 27756 KB ok, correct split
117 Correct 201 ms 27500 KB ok, correct split
118 Correct 165 ms 22380 KB ok, correct split
119 Correct 172 ms 22380 KB ok, correct split
120 Correct 172 ms 24684 KB ok, correct split
121 Correct 170 ms 22508 KB ok, no valid answer
122 Correct 145 ms 22620 KB ok, no valid answer
123 Correct 222 ms 27760 KB ok, no valid answer
124 Correct 214 ms 27800 KB ok, no valid answer
125 Correct 128 ms 24300 KB ok, no valid answer
126 Correct 88 ms 21868 KB ok, no valid answer
127 Correct 154 ms 25452 KB ok, no valid answer