Submission #143388

# Submission time Handle Problem Language Result Execution time Memory
143388 2019-08-13T22:12:41 Z Bench0310 Split the Attractions (IOI19_split) C++14
100 / 100
191 ms 24676 KB
#include <bits/stdc++.h>

using namespace std;

int n;
int centroid;
const int N=100000;
vector<int> v[N];
vector<int> g[N];
vector<int> z[N];
vector<int> d;
vector<int> sub(N,0);
vector<int> id(N);
vector<bool> vis(N,0);
vector<int> res;

void dfs1(int a)
{
    sub[a]=1;
    for(int to:v[a])
    {
        if(sub[to]!=0) continue;
        g[a].push_back(to);
        g[to].push_back(a);
        dfs1(to);
        sub[a]+=sub[to];
    }
}

int get_centroid(int a,int p=-1)
{
    for(int to:g[a])
    {
        if(to!=p&&sub[to]>n/2) return get_centroid(to,a);
    }
    return a;
}

void dfs2(int a,int now)
{
    sub[a]=1;
    id[a]=now;
    for(int to:g[a])
    {
        if(sub[to]!=0) continue;
        if(now==-1) d.push_back(to);
        dfs2(to,(now!=-1?now:to));
        sub[a]+=sub[to];
    }
}

void solve_one(vector<int> src,int num,int t)
{
    vector<bool> pos(n,0);
    for(int a:src) pos[a]=1;
    queue<int> q;
    q.push(src[0]);
    res[src[0]]=t;
    num--;
    while(num>0)
    {
        int e=q.front();
        q.pop();
        for(int to:v[e])
        {
            if(to!=centroid&&pos[id[to]]==1&&res[to]==0)
            {
                q.push(to);
                res[to]=t;
                num--;
            }
            if(num==0) break;
        }
    }
}

void solve_two(int num,int t)
{
    queue<int> q;
    q.push(centroid);
    while(num>0)
    {
        int e=q.front();
        q.pop();
        res[e]=t;
        num--;
        for(int to:g[e]) if(res[to]==0) q.push(to);
    }
}

void solve_three(int t)
{
    for(int i=0;i<n;i++) if(res[i]==0) res[i]=t;
}

vector<int> component(int src,int a)
{
    vector<int> comp;
    int cnt=0;
    vis[src]=1;
    queue<int> q;
    q.push(src);
    while(!q.empty())
    {
        int e=q.front();
        q.pop();
        cnt+=sub[e];
        comp.push_back(e);
        if(cnt>=a) break;
        for(int to:z[e])
        {
            if(vis[to]) continue;
            vis[to]=1;
            q.push(to);
        }
    }
    if(cnt>=a) return comp;
    else return {-1};
}

vector<int> find_split(int _n,int a,int b,int c,vector<int> ca,vector<int> cb)
{
    n=_n;
    res.resize(n,0);
    int m=ca.size();
    for(int i=0;i<m;i++)
    {
        v[ca[i]].push_back(cb[i]);
        v[cb[i]].push_back(ca[i]);
    }
    dfs1(0);
    centroid=get_centroid(0);
    for(int i=0;i<n;i++) sub[i]=0;
    dfs2(centroid,-1);
    vector<pair<int,int>> abc={{a,1},{b,2},{c,3}};
    sort(abc.begin(),abc.end());
    for(int i=0;i<m;i++)
    {
        if(ca[i]==centroid||cb[i]==centroid) continue;
        if(id[ca[i]]!=id[cb[i]])
        {
            z[id[ca[i]]].push_back(id[cb[i]]);
            z[id[cb[i]]].push_back(id[ca[i]]);
        }
    }
    vector<pair<int,int>> p;
    for(int to:d) p.push_back({sub[to],to});
    sort(p.begin(),p.end(),greater<pair<int,int>>());
    for(pair<int,int> pii:p)
    {
        int to=pii.second;
        if(vis[to]) continue;
        vector<int> comp=component(to,abc[0].first);
        if(comp[0]==-1) continue;
        solve_one(comp,abc[0].first,abc[0].second);
        solve_two(abc[1].first,abc[1].second);
        solve_three(abc[2].second);
        return res;
    }
    return res;
}

/*int main()
{
    int _n,_m;
    scanf("%d%d",&_n,&_m);
    int a,b,c;
    scanf("%d%d%d",&a,&b,&c);
    vector<int> one,two;
    for(int i=0;i<_m;i++)
    {
        int x,y;
        scanf("%d%d",&x,&y);
        one.push_back(x);
        two.push_back(y);
    }
    vector<int> temp=find_split(_n,a,b,c,one,two);
    for(int a:temp) cout << a << " ";
    return 0;
}
*/
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB ok, correct split
2 Correct 9 ms 8184 KB ok, correct split
3 Correct 9 ms 8184 KB ok, correct split
4 Correct 9 ms 8184 KB ok, correct split
5 Correct 9 ms 8220 KB ok, correct split
6 Correct 9 ms 8184 KB ok, correct split
7 Correct 164 ms 22876 KB ok, correct split
8 Correct 138 ms 20984 KB ok, correct split
9 Correct 189 ms 20344 KB ok, correct split
10 Correct 133 ms 23032 KB ok, correct split
11 Correct 177 ms 22992 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB ok, correct split
2 Correct 9 ms 8184 KB ok, correct split
3 Correct 9 ms 8188 KB ok, correct split
4 Correct 156 ms 21028 KB ok, correct split
5 Correct 129 ms 17016 KB ok, correct split
6 Correct 130 ms 23032 KB ok, correct split
7 Correct 132 ms 20804 KB ok, correct split
8 Correct 159 ms 18936 KB ok, correct split
9 Correct 120 ms 16888 KB ok, correct split
10 Correct 101 ms 18772 KB ok, correct split
11 Correct 105 ms 18900 KB ok, correct split
12 Correct 111 ms 18816 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB ok, correct split
2 Correct 146 ms 17016 KB ok, correct split
3 Correct 45 ms 11768 KB ok, correct split
4 Correct 9 ms 8312 KB ok, correct split
5 Correct 129 ms 18952 KB ok, correct split
6 Correct 134 ms 18680 KB ok, correct split
7 Correct 133 ms 18804 KB ok, correct split
8 Correct 136 ms 19576 KB ok, correct split
9 Correct 137 ms 18680 KB ok, correct split
10 Correct 41 ms 11128 KB ok, no valid answer
11 Correct 57 ms 12664 KB ok, no valid answer
12 Correct 139 ms 18332 KB ok, no valid answer
13 Correct 118 ms 17208 KB ok, no valid answer
14 Correct 151 ms 18792 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB ok, correct split
2 Correct 11 ms 8184 KB ok, no valid answer
3 Correct 9 ms 8184 KB ok, correct split
4 Correct 9 ms 8184 KB ok, correct split
5 Correct 10 ms 8184 KB ok, correct split
6 Correct 10 ms 8184 KB ok, correct split
7 Correct 9 ms 8184 KB ok, correct split
8 Correct 9 ms 8184 KB ok, correct split
9 Correct 12 ms 8492 KB ok, correct split
10 Correct 12 ms 8440 KB ok, correct split
11 Correct 9 ms 8184 KB ok, correct split
12 Correct 12 ms 8440 KB ok, correct split
13 Correct 9 ms 8184 KB ok, correct split
14 Correct 9 ms 8184 KB ok, correct split
15 Correct 9 ms 8184 KB ok, correct split
16 Correct 9 ms 8184 KB ok, correct split
17 Correct 11 ms 8184 KB ok, correct split
18 Correct 9 ms 8184 KB ok, correct split
19 Correct 9 ms 8184 KB ok, correct split
20 Correct 9 ms 8312 KB ok, correct split
21 Correct 11 ms 8440 KB ok, correct split
22 Correct 10 ms 8444 KB ok, correct split
23 Correct 11 ms 8440 KB ok, correct split
24 Correct 11 ms 8440 KB ok, correct split
25 Correct 11 ms 8440 KB ok, correct split
26 Correct 11 ms 8568 KB ok, correct split
27 Correct 11 ms 8568 KB ok, correct split
28 Correct 12 ms 8568 KB ok, correct split
29 Correct 9 ms 8184 KB ok, correct split
30 Correct 11 ms 8568 KB ok, correct split
31 Correct 9 ms 8184 KB ok, correct split
32 Correct 9 ms 8184 KB ok, correct split
33 Correct 9 ms 8184 KB ok, correct split
34 Correct 11 ms 8440 KB ok, correct split
35 Correct 11 ms 8440 KB ok, correct split
36 Correct 11 ms 8440 KB ok, correct split
37 Correct 12 ms 8440 KB ok, correct split
38 Correct 11 ms 8440 KB ok, correct split
39 Correct 12 ms 8568 KB ok, correct split
40 Correct 11 ms 8440 KB ok, correct split
41 Correct 10 ms 8312 KB ok, correct split
42 Correct 10 ms 8312 KB ok, correct split
43 Correct 12 ms 8568 KB ok, correct split
44 Correct 11 ms 8440 KB ok, correct split
45 Correct 11 ms 8440 KB ok, correct split
46 Correct 11 ms 8440 KB ok, correct split
47 Correct 10 ms 8440 KB ok, no valid answer
48 Correct 11 ms 8440 KB ok, correct split
49 Correct 11 ms 8440 KB ok, correct split
50 Correct 8 ms 8184 KB ok, no valid answer
51 Correct 9 ms 8184 KB ok, no valid answer
52 Correct 11 ms 8440 KB ok, no valid answer
53 Correct 12 ms 8440 KB ok, no valid answer
54 Correct 11 ms 8440 KB ok, no valid answer
55 Correct 11 ms 8440 KB ok, no valid answer
56 Correct 11 ms 8440 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8184 KB ok, correct split
2 Correct 9 ms 8184 KB ok, correct split
3 Correct 9 ms 8184 KB ok, correct split
4 Correct 9 ms 8184 KB ok, correct split
5 Correct 9 ms 8220 KB ok, correct split
6 Correct 9 ms 8184 KB ok, correct split
7 Correct 164 ms 22876 KB ok, correct split
8 Correct 138 ms 20984 KB ok, correct split
9 Correct 189 ms 20344 KB ok, correct split
10 Correct 133 ms 23032 KB ok, correct split
11 Correct 177 ms 22992 KB ok, correct split
12 Correct 9 ms 8184 KB ok, correct split
13 Correct 9 ms 8184 KB ok, correct split
14 Correct 9 ms 8188 KB ok, correct split
15 Correct 156 ms 21028 KB ok, correct split
16 Correct 129 ms 17016 KB ok, correct split
17 Correct 130 ms 23032 KB ok, correct split
18 Correct 132 ms 20804 KB ok, correct split
19 Correct 159 ms 18936 KB ok, correct split
20 Correct 120 ms 16888 KB ok, correct split
21 Correct 101 ms 18772 KB ok, correct split
22 Correct 105 ms 18900 KB ok, correct split
23 Correct 111 ms 18816 KB ok, correct split
24 Correct 9 ms 8184 KB ok, correct split
25 Correct 146 ms 17016 KB ok, correct split
26 Correct 45 ms 11768 KB ok, correct split
27 Correct 9 ms 8312 KB ok, correct split
28 Correct 129 ms 18952 KB ok, correct split
29 Correct 134 ms 18680 KB ok, correct split
30 Correct 133 ms 18804 KB ok, correct split
31 Correct 136 ms 19576 KB ok, correct split
32 Correct 137 ms 18680 KB ok, correct split
33 Correct 41 ms 11128 KB ok, no valid answer
34 Correct 57 ms 12664 KB ok, no valid answer
35 Correct 139 ms 18332 KB ok, no valid answer
36 Correct 118 ms 17208 KB ok, no valid answer
37 Correct 151 ms 18792 KB ok, no valid answer
38 Correct 9 ms 8184 KB ok, correct split
39 Correct 11 ms 8184 KB ok, no valid answer
40 Correct 9 ms 8184 KB ok, correct split
41 Correct 9 ms 8184 KB ok, correct split
42 Correct 10 ms 8184 KB ok, correct split
43 Correct 10 ms 8184 KB ok, correct split
44 Correct 9 ms 8184 KB ok, correct split
45 Correct 9 ms 8184 KB ok, correct split
46 Correct 12 ms 8492 KB ok, correct split
47 Correct 12 ms 8440 KB ok, correct split
48 Correct 9 ms 8184 KB ok, correct split
49 Correct 12 ms 8440 KB ok, correct split
50 Correct 9 ms 8184 KB ok, correct split
51 Correct 9 ms 8184 KB ok, correct split
52 Correct 9 ms 8184 KB ok, correct split
53 Correct 9 ms 8184 KB ok, correct split
54 Correct 11 ms 8184 KB ok, correct split
55 Correct 9 ms 8184 KB ok, correct split
56 Correct 9 ms 8184 KB ok, correct split
57 Correct 9 ms 8312 KB ok, correct split
58 Correct 11 ms 8440 KB ok, correct split
59 Correct 10 ms 8444 KB ok, correct split
60 Correct 11 ms 8440 KB ok, correct split
61 Correct 11 ms 8440 KB ok, correct split
62 Correct 11 ms 8440 KB ok, correct split
63 Correct 11 ms 8568 KB ok, correct split
64 Correct 11 ms 8568 KB ok, correct split
65 Correct 12 ms 8568 KB ok, correct split
66 Correct 9 ms 8184 KB ok, correct split
67 Correct 11 ms 8568 KB ok, correct split
68 Correct 9 ms 8184 KB ok, correct split
69 Correct 9 ms 8184 KB ok, correct split
70 Correct 9 ms 8184 KB ok, correct split
71 Correct 11 ms 8440 KB ok, correct split
72 Correct 11 ms 8440 KB ok, correct split
73 Correct 11 ms 8440 KB ok, correct split
74 Correct 12 ms 8440 KB ok, correct split
75 Correct 11 ms 8440 KB ok, correct split
76 Correct 12 ms 8568 KB ok, correct split
77 Correct 11 ms 8440 KB ok, correct split
78 Correct 10 ms 8312 KB ok, correct split
79 Correct 10 ms 8312 KB ok, correct split
80 Correct 12 ms 8568 KB ok, correct split
81 Correct 11 ms 8440 KB ok, correct split
82 Correct 11 ms 8440 KB ok, correct split
83 Correct 11 ms 8440 KB ok, correct split
84 Correct 10 ms 8440 KB ok, no valid answer
85 Correct 11 ms 8440 KB ok, correct split
86 Correct 11 ms 8440 KB ok, correct split
87 Correct 8 ms 8184 KB ok, no valid answer
88 Correct 9 ms 8184 KB ok, no valid answer
89 Correct 11 ms 8440 KB ok, no valid answer
90 Correct 12 ms 8440 KB ok, no valid answer
91 Correct 11 ms 8440 KB ok, no valid answer
92 Correct 11 ms 8440 KB ok, no valid answer
93 Correct 11 ms 8440 KB ok, no valid answer
94 Correct 134 ms 19268 KB ok, correct split
95 Correct 191 ms 23324 KB ok, correct split
96 Correct 172 ms 22132 KB ok, correct split
97 Correct 46 ms 11768 KB ok, correct split
98 Correct 48 ms 11768 KB ok, correct split
99 Correct 69 ms 13260 KB ok, correct split
100 Correct 166 ms 19320 KB ok, correct split
101 Correct 158 ms 18680 KB ok, correct split
102 Correct 146 ms 18928 KB ok, correct split
103 Correct 134 ms 19164 KB ok, correct split
104 Correct 135 ms 19684 KB ok, correct split
105 Correct 71 ms 13944 KB ok, correct split
106 Correct 165 ms 24676 KB ok, correct split
107 Correct 123 ms 17144 KB ok, correct split
108 Correct 116 ms 17144 KB ok, correct split
109 Correct 176 ms 18908 KB ok, correct split
110 Correct 165 ms 19828 KB ok, correct split
111 Correct 175 ms 19952 KB ok, correct split
112 Correct 173 ms 20176 KB ok, correct split
113 Correct 161 ms 20080 KB ok, correct split
114 Correct 23 ms 9592 KB ok, correct split
115 Correct 22 ms 9464 KB ok, correct split
116 Correct 180 ms 19824 KB ok, correct split
117 Correct 160 ms 19696 KB ok, correct split
118 Correct 125 ms 16892 KB ok, correct split
119 Correct 119 ms 16888 KB ok, correct split
120 Correct 131 ms 20088 KB ok, correct split
121 Correct 112 ms 17016 KB ok, no valid answer
122 Correct 115 ms 17652 KB ok, no valid answer
123 Correct 166 ms 19452 KB ok, no valid answer
124 Correct 159 ms 19324 KB ok, no valid answer
125 Correct 137 ms 19056 KB ok, no valid answer
126 Correct 107 ms 17776 KB ok, no valid answer
127 Correct 153 ms 19056 KB ok, no valid answer