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Submission #268726

# Submission time Handle Problem Language Result Execution time Memory
268726 2020-08-16T21:35:17 Z doowey Split the Attractions (IOI19_split) C++14
100 / 100
 207 ms 32512 KB 
#include <bits/stdc++.h>
#include "split.h"

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

#define fi first
#define se second
#define mp make_pair

const int N = (int)1e5 + 10;
vector<int> T[N];
vector<int> R[N];
int subt[N];
pii S[3];
bool vis[N];

vector<int> nds[N];

void dfs(int u){
    vis[u]=true;
    subt[u]=1;
    for(auto x : T[u]){
        if(vis[x]) continue;
        dfs(x);
        subt[u] += subt[x];
        R[u].push_back(x);
        R[x].push_back(u);
    }
}

int id[N];
int sub[N];
int cnt;

void dfs1(int u, int cc){
    sub[u] = 1;
    id[u] = cc;
    nds[cc].push_back(u);
    for(auto x : R[u]){
        if(id[x] == -1){
            dfs1(x, cc);
            sub[u] += sub[x];
        }
    }
}

vector<int> spi;

void do_sp(int node, int ci){
    if(spi[node] > 0) return ;
    if(S[ci].fi > 0){
        S[ci].fi -- ;
        spi[node] = S[ci].se;
    }
    else{
        spi[node] = S[2].se;
    }
    for(auto x : R[node]){
        if((id[x] == id[node] || ci == 1) && spi[x] == 0){
            do_sp(x, ci);
        }
    }
}

vector<pii> C[N];
int sz[N];

vector<int> idi;
bool hvi[N];
int tot;

int curn;
int central;
bool has_sol;

void dfs2(int u){
    hvi[u]=true;
    idi.push_back(u);
    tot += sz[u];
    for(auto x : C[u]){
        if(hvi[x.fi]) continue;
        if(has_sol) return ;
        if(tot + sz[x.fi] >= S[0].fi){
            for(auto f : idi){
                do_sp(nds[f][0], 0);
            }
            do_sp(x.se, 0);
            do_sp(central, 1);
            has_sol = true;
            return ;
        }
        dfs2(x.fi);
    }
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
    curn = n;
    int m = p.size();
    S[0] = mp(a, 1);
    S[1] = mp(b, 2);
    S[2] = mp(c, 3);
    sort(S, S + 3);
    spi.resize(n);
    for(int i = 0 ; i < m ; i ++ ){
        T[p[i]].push_back(q[i]);
        T[q[i]].push_back(p[i]);
    }
    dfs(0);
    int node = 0;
    int pp = -1;
    bool ok = true;
    while(ok){
        ok = false;
        for(auto x : R[node]){
            if(x != pp && subt[x] > n/2){
                pp = node;
                node = x;
                ok = true;
                break;
            }
        }
    }
    central = node;
    for(int i = 0 ; i < n; i ++ ){
        id[i] = -1;
    }
    id[node] = 0;
    for(auto x : R[node]){
        cnt ++ ;
        dfs1(x, cnt);
    }
    for(auto x : R[node]){
        if(sub[x] >= S[0].fi){
            do_sp(x, 0);
            do_sp(node, 1);
            for(int i = 0; i < n; i ++ ){
                if(spi[i] == 0) spi[i] = 3;
            }
            return spi;
        }
        sz[id[x]] = sub[x];
    }
    for(int i = 0 ;i < m ; i ++ ){
        if(id[p[i]] == 0 || id[q[i]] == 0 || id[p[i]] == id[q[i]]) continue;
        C[id[p[i]]].push_back(mp(id[q[i]], q[i]));
        C[id[q[i]]].push_back(mp(id[p[i]], p[i]));
    }
    for(int i = 1; i <= cnt; i ++ ){
        if(hvi[i]) continue;
        tot = 0;
        idi.clear();
        dfs2(i);
        if(has_sol){
            for(int j = 0 ; j < n; j ++ ){
                if(spi[j] == 0) spi[j] = S[2].se;
            }
            return spi;
        }
    }
    return spi;
}

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 6 ms 9728 KB ok, correct split
7 Correct 130 ms 26128 KB ok, correct split
8 Correct 123 ms 24344 KB ok, correct split
9 Correct 130 ms 23668 KB ok, correct split
10 Correct 124 ms 26436 KB ok, correct split
11 Correct 121 ms 26356 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9728 KB ok, correct split
2 Correct 6 ms 9728 KB ok, correct split
3 Correct 7 ms 9728 KB ok, correct split
4 Correct 145 ms 24060 KB ok, correct split
5 Correct 138 ms 20344 KB ok, correct split
6 Correct 138 ms 26356 KB ok, correct split
7 Correct 135 ms 24180 KB ok, correct split
8 Correct 177 ms 22136 KB ok, correct split
9 Correct 116 ms 20212 KB ok, correct split
10 Correct 107 ms 23536 KB ok, correct split
11 Correct 136 ms 23536 KB ok, correct split
12 Correct 92 ms 23536 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 112 ms 20472 KB ok, correct split
3 Correct 42 ms 13944 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 118 ms 22264 KB ok, correct split
6 Correct 119 ms 22008 KB ok, correct split
7 Correct 119 ms 22168 KB ok, correct split
8 Correct 122 ms 22904 KB ok, correct split
9 Correct 116 ms 22008 KB ok, correct split
10 Correct 35 ms 13312 KB ok, no valid answer
11 Correct 50 ms 15096 KB ok, no valid answer
12 Correct 98 ms 22516 KB ok, no valid answer
13 Correct 125 ms 20656 KB ok, no valid answer
14 Correct 104 ms 24048 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 6 ms 9728 KB ok, no valid answer
3 Correct 6 ms 9728 KB ok, correct split
4 Correct 7 ms 9728 KB ok, correct split
5 Correct 8 ms 9728 KB ok, correct split
6 Correct 8 ms 9728 KB ok, correct split
7 Correct 9 ms 9728 KB ok, correct split
8 Correct 7 ms 9728 KB ok, correct split
9 Correct 11 ms 10112 KB ok, correct split
10 Correct 9 ms 9984 KB ok, correct split
11 Correct 7 ms 9760 KB ok, correct split
12 Correct 11 ms 10112 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 7 ms 9728 KB ok, correct split
17 Correct 10 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 8 ms 9984 KB ok, correct split
22 Correct 13 ms 9984 KB ok, correct split
23 Correct 9 ms 10112 KB ok, correct split
24 Correct 11 ms 10112 KB ok, correct split
25 Correct 8 ms 9984 KB ok, correct split
26 Correct 9 ms 10240 KB ok, correct split
27 Correct 9 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 9 ms 10112 KB ok, correct split
31 Correct 9 ms 9856 KB ok, correct split
32 Correct 8 ms 9728 KB ok, correct split
33 Correct 7 ms 9728 KB ok, correct split
34 Correct 11 ms 10112 KB ok, correct split
35 Correct 9 ms 10112 KB ok, correct split
36 Correct 9 ms 9984 KB ok, correct split
37 Correct 10 ms 10144 KB ok, correct split
38 Correct 10 ms 10240 KB ok, correct split
39 Correct 11 ms 10112 KB ok, correct split
40 Correct 10 ms 10112 KB ok, correct split
41 Correct 10 ms 9856 KB ok, correct split
42 Correct 8 ms 9856 KB ok, correct split
43 Correct 10 ms 10240 KB ok, correct split
44 Correct 9 ms 10112 KB ok, correct split
45 Correct 11 ms 10112 KB ok, correct split
46 Correct 9 ms 10112 KB ok, correct split
47 Correct 8 ms 10112 KB ok, no valid answer
48 Correct 8 ms 9984 KB ok, correct split
49 Correct 10 ms 10112 KB ok, correct split
50 Correct 7 ms 9728 KB ok, no valid answer
51 Correct 7 ms 9728 KB ok, no valid answer
52 Correct 9 ms 9984 KB ok, no valid answer
53 Correct 9 ms 10112 KB ok, no valid answer
54 Correct 8 ms 10112 KB ok, no valid answer
55 Correct 9 ms 10112 KB ok, no valid answer
56 Correct 11 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 6 ms 9728 KB ok, correct split
7 Correct 130 ms 26128 KB ok, correct split
8 Correct 123 ms 24344 KB ok, correct split
9 Correct 130 ms 23668 KB ok, correct split
10 Correct 124 ms 26436 KB ok, correct split
11 Correct 121 ms 26356 KB ok, correct split
12 Correct 6 ms 9728 KB ok, correct split
13 Correct 6 ms 9728 KB ok, correct split
14 Correct 7 ms 9728 KB ok, correct split
15 Correct 145 ms 24060 KB ok, correct split
16 Correct 138 ms 20344 KB ok, correct split
17 Correct 138 ms 26356 KB ok, correct split
18 Correct 135 ms 24180 KB ok, correct split
19 Correct 177 ms 22136 KB ok, correct split
20 Correct 116 ms 20212 KB ok, correct split
21 Correct 107 ms 23536 KB ok, correct split
22 Correct 136 ms 23536 KB ok, correct split
23 Correct 92 ms 23536 KB ok, correct split
24 Correct 7 ms 9728 KB ok, correct split
25 Correct 112 ms 20472 KB ok, correct split
26 Correct 42 ms 13944 KB ok, correct split
27 Correct 7 ms 9728 KB ok, correct split
28 Correct 118 ms 22264 KB ok, correct split
29 Correct 119 ms 22008 KB ok, correct split
30 Correct 119 ms 22168 KB ok, correct split
31 Correct 122 ms 22904 KB ok, correct split
32 Correct 116 ms 22008 KB ok, correct split
33 Correct 35 ms 13312 KB ok, no valid answer
34 Correct 50 ms 15096 KB ok, no valid answer
35 Correct 98 ms 22516 KB ok, no valid answer
36 Correct 125 ms 20656 KB ok, no valid answer
37 Correct 104 ms 24048 KB ok, no valid answer
38 Correct 7 ms 9728 KB ok, correct split
39 Correct 6 ms 9728 KB ok, no valid answer
40 Correct 6 ms 9728 KB ok, correct split
41 Correct 7 ms 9728 KB ok, correct split
42 Correct 8 ms 9728 KB ok, correct split
43 Correct 8 ms 9728 KB ok, correct split
44 Correct 9 ms 9728 KB ok, correct split
45 Correct 7 ms 9728 KB ok, correct split
46 Correct 11 ms 10112 KB ok, correct split
47 Correct 9 ms 9984 KB ok, correct split
48 Correct 7 ms 9760 KB ok, correct split
49 Correct 11 ms 10112 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 7 ms 9728 KB ok, correct split
54 Correct 10 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 8 ms 9984 KB ok, correct split
59 Correct 13 ms 9984 KB ok, correct split
60 Correct 9 ms 10112 KB ok, correct split
61 Correct 11 ms 10112 KB ok, correct split
62 Correct 8 ms 9984 KB ok, correct split
63 Correct 9 ms 10240 KB ok, correct split
64 Correct 9 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 9 ms 10112 KB ok, correct split
68 Correct 9 ms 9856 KB ok, correct split
69 Correct 8 ms 9728 KB ok, correct split
70 Correct 7 ms 9728 KB ok, correct split
71 Correct 11 ms 10112 KB ok, correct split
72 Correct 9 ms 10112 KB ok, correct split
73 Correct 9 ms 9984 KB ok, correct split
74 Correct 10 ms 10144 KB ok, correct split
75 Correct 10 ms 10240 KB ok, correct split
76 Correct 11 ms 10112 KB ok, correct split
77 Correct 10 ms 10112 KB ok, correct split
78 Correct 10 ms 9856 KB ok, correct split
79 Correct 8 ms 9856 KB ok, correct split
80 Correct 10 ms 10240 KB ok, correct split
81 Correct 9 ms 10112 KB ok, correct split
82 Correct 11 ms 10112 KB ok, correct split
83 Correct 9 ms 10112 KB ok, correct split
84 Correct 8 ms 10112 KB ok, no valid answer
85 Correct 8 ms 9984 KB ok, correct split
86 Correct 10 ms 10112 KB ok, correct split
87 Correct 7 ms 9728 KB ok, no valid answer
88 Correct 7 ms 9728 KB ok, no valid answer
89 Correct 9 ms 9984 KB ok, no valid answer
90 Correct 9 ms 10112 KB ok, no valid answer
91 Correct 8 ms 10112 KB ok, no valid answer
92 Correct 9 ms 10112 KB ok, no valid answer
93 Correct 11 ms 10112 KB ok, no valid answer
94 Correct 130 ms 23796 KB ok, correct split
95 Correct 171 ms 28404 KB ok, correct split
96 Correct 207 ms 26868 KB ok, correct split
97 Correct 48 ms 14464 KB ok, correct split
98 Correct 50 ms 14584 KB ok, correct split
99 Correct 62 ms 16632 KB ok, correct split
100 Correct 202 ms 24952 KB ok, correct split
101 Correct 179 ms 23928 KB ok, correct split
102 Correct 168 ms 24176 KB ok, correct split
103 Correct 137 ms 24304 KB ok, correct split
104 Correct 144 ms 25268 KB ok, correct split
105 Correct 82 ms 17404 KB ok, correct split
106 Correct 173 ms 32512 KB ok, correct split
107 Correct 127 ms 21624 KB ok, correct split
108 Correct 124 ms 21368 KB ok, correct split
109 Correct 188 ms 24440 KB ok, correct split
110 Correct 187 ms 26348 KB ok, correct split
111 Correct 206 ms 25964 KB ok, correct split
112 Correct 185 ms 26604 KB ok, correct split
113 Correct 160 ms 26220 KB ok, correct split
114 Correct 19 ms 11520 KB ok, correct split
115 Correct 19 ms 11392 KB ok, correct split
116 Correct 175 ms 26352 KB ok, correct split
117 Correct 179 ms 25836 KB ok, correct split
118 Correct 129 ms 21620 KB ok, correct split
119 Correct 130 ms 21240 KB ok, correct split
120 Correct 121 ms 24564 KB ok, correct split
121 Correct 129 ms 21600 KB ok, no valid answer
122 Correct 107 ms 22136 KB ok, no valid answer
123 Correct 169 ms 24952 KB ok, no valid answer
124 Correct 178 ms 25080 KB ok, no valid answer
125 Correct 118 ms 24816 KB ok, no valid answer
126 Correct 90 ms 23664 KB ok, no valid answer
127 Correct 136 ms 24560 KB ok, no valid answer