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Submission #259371

# Submission time Handle Problem Language Result Execution time Memory
259371 2020-08-07T16:56:00 Z Sorting Parachute rings (IOI12_rings) C++17
100 / 100
 2073 ms 135188 KB 
#include <bits/stdc++.h>

using namespace std;

const int k_N = 1e6 + 3;

struct DSU{
    int p[k_N], sz[k_N];
    int d[k_N];

    int cycles_all, mx_all;
    int cycle_node;

    DSU(){
       
    }

    void update_d(int u){
        d[u]++;
    }

    void resize(int n){
        cycles_all = 0;
        mx_all = 0;
        cycle_node = -1;

        for(int i = 0; i < n; ++i){
            p[i] = i;
            sz[i] = 1;
            d[i] = 0;
        }
    }

    int get_p(int u){
        if(p[u] == u) return u;
        return p[u] = get_p(p[u]);
    }

    bool unite(int u, int v){
        if(get_p(u) == get_p(v))
            return false;

        if(sz[p[u]] < sz[p[v]])
            swap(u, v);

        sz[p[u]] += sz[p[v]];
        p[p[v]] = p[u];

        return true;
    }

    void add(int a, int b){
        update_d(a);
        update_d(b);

        mx_all = max(mx_all, max(d[a], d[b]));

        if(!unite(a, b)){
            cycle_node = a;
            cycles_all++;
        }
    }
};

int n;
vector<pair<int, int>> edges;
vector<int> adj[k_N];

DSU dsu, dsu_cand[4];
int cand[4];

void Init(int n_){
    n = n_;

    dsu.resize(n);
}

void do_cand(int a){
    cand[0] = a;
    for(int i = 0; i < adj[a].size(); ++i)
        cand[i + 1] = adj[a][i];
    
    for(int i = 0; i < 4; ++i){
        dsu_cand[i].resize(n);
        for(auto [u, v]: edges){
            if(u == cand[i] || v == cand[i]) continue;
            dsu_cand[i].add(u, v);
        }
    }
}

void Link(int a, int b){
    edges.push_back({a, b});
    adj[a].push_back(b);
    adj[b].push_back(a);

    if(dsu.mx_all < 3 && adj[a].size() == 3)
        do_cand(a);
    else if(dsu.mx_all < 3 && adj[b].size() == 3)
        do_cand(b);

    if(dsu.mx_all >= 3){
        for(int i = 0; i < 4; ++i){
            if(a == cand[i] || b == cand[i]) continue;
            dsu_cand[i].add(a, b);
        }
    }

    dsu.add(a, b);
}

int CountCritical(){
    if(dsu.mx_all <= 2){
        if(dsu.cycles_all >= 2)
            return 0;
        if(dsu.cycles_all == 1)
            return dsu.sz[dsu.get_p(dsu.cycle_node)];
        return n;
    }

    int ans = 0;
    for(int i = 0; i < 4; ++i){
        if(dsu_cand[i].mx_all < 3 && dsu_cand[i].cycles_all == 0)
            ans++;
    }

    return ans;
}

Compilation message

rings.cpp: In function 'void do_cand(int)':
rings.cpp:80:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int i = 0; i < adj[a].size(); ++i)
                    ~~^~~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23808 KB Output is correct
2 Correct 17 ms 24448 KB Output is correct
3 Correct 17 ms 24576 KB Output is correct
4 Correct 15 ms 23936 KB Output is correct
5 Correct 18 ms 24064 KB Output is correct
6 Correct 19 ms 24192 KB Output is correct
7 Correct 15 ms 24320 KB Output is correct
8 Correct 16 ms 24064 KB Output is correct
9 Correct 18 ms 24576 KB Output is correct
10 Correct 18 ms 24512 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 534 ms 50396 KB Output is correct
2 Correct 1977 ms 102224 KB Output is correct
3 Correct 2073 ms 117168 KB Output is correct
4 Correct 1429 ms 74704 KB Output is correct
5 Correct 1245 ms 74712 KB Output is correct
6 Correct 1194 ms 73424 KB Output is correct
7 Correct 1881 ms 116380 KB Output is correct
8 Correct 1944 ms 115548 KB Output is correct
9 Correct 2005 ms 135188 KB Output is correct
10 Correct 904 ms 85404 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23808 KB Output is correct
2 Correct 17 ms 24448 KB Output is correct
3 Correct 17 ms 24576 KB Output is correct
4 Correct 15 ms 23936 KB Output is correct
5 Correct 18 ms 24064 KB Output is correct
6 Correct 19 ms 24192 KB Output is correct
7 Correct 15 ms 24320 KB Output is correct
8 Correct 16 ms 24064 KB Output is correct
9 Correct 18 ms 24576 KB Output is correct
10 Correct 18 ms 24512 KB Output is correct
11 Correct 18 ms 24448 KB Output is correct
12 Correct 23 ms 25080 KB Output is correct
13 Correct 21 ms 25080 KB Output is correct
14 Correct 23 ms 24832 KB Output is correct
15 Correct 21 ms 25472 KB Output is correct
16 Correct 22 ms 24448 KB Output is correct
17 Correct 21 ms 25088 KB Output is correct
18 Correct 22 ms 25728 KB Output is correct
19 Correct 20 ms 24576 KB Output is correct
20 Correct 21 ms 25088 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23808 KB Output is correct
2 Correct 17 ms 24448 KB Output is correct
3 Correct 17 ms 24576 KB Output is correct
4 Correct 15 ms 23936 KB Output is correct
5 Correct 18 ms 24064 KB Output is correct
6 Correct 19 ms 24192 KB Output is correct
7 Correct 15 ms 24320 KB Output is correct
8 Correct 16 ms 24064 KB Output is correct
9 Correct 18 ms 24576 KB Output is correct
10 Correct 18 ms 24512 KB Output is correct
11 Correct 18 ms 24448 KB Output is correct
12 Correct 23 ms 25080 KB Output is correct
13 Correct 21 ms 25080 KB Output is correct
14 Correct 23 ms 24832 KB Output is correct
15 Correct 21 ms 25472 KB Output is correct
16 Correct 22 ms 24448 KB Output is correct
17 Correct 21 ms 25088 KB Output is correct
18 Correct 22 ms 25728 KB Output is correct
19 Correct 20 ms 24576 KB Output is correct
20 Correct 21 ms 25088 KB Output is correct
21 Correct 39 ms 26108 KB Output is correct
22 Correct 49 ms 27248 KB Output is correct
23 Correct 59 ms 28272 KB Output is correct
24 Correct 90 ms 32112 KB Output is correct
25 Correct 37 ms 30328 KB Output is correct
26 Correct 95 ms 33008 KB Output is correct
27 Correct 69 ms 29292 KB Output is correct
28 Correct 100 ms 33644 KB Output is correct
29 Correct 68 ms 32244 KB Output is correct
30 Correct 89 ms 30060 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23808 KB Output is correct
2 Correct 17 ms 24448 KB Output is correct
3 Correct 17 ms 24576 KB Output is correct
4 Correct 15 ms 23936 KB Output is correct
5 Correct 18 ms 24064 KB Output is correct
6 Correct 19 ms 24192 KB Output is correct
7 Correct 15 ms 24320 KB Output is correct
8 Correct 16 ms 24064 KB Output is correct
9 Correct 18 ms 24576 KB Output is correct
10 Correct 18 ms 24512 KB Output is correct
11 Correct 534 ms 50396 KB Output is correct
12 Correct 1977 ms 102224 KB Output is correct
13 Correct 2073 ms 117168 KB Output is correct
14 Correct 1429 ms 74704 KB Output is correct
15 Correct 1245 ms 74712 KB Output is correct
16 Correct 1194 ms 73424 KB Output is correct
17 Correct 1881 ms 116380 KB Output is correct
18 Correct 1944 ms 115548 KB Output is correct
19 Correct 2005 ms 135188 KB Output is correct
20 Correct 904 ms 85404 KB Output is correct
21 Correct 18 ms 24448 KB Output is correct
22 Correct 23 ms 25080 KB Output is correct
23 Correct 21 ms 25080 KB Output is correct
24 Correct 23 ms 24832 KB Output is correct
25 Correct 21 ms 25472 KB Output is correct
26 Correct 22 ms 24448 KB Output is correct
27 Correct 21 ms 25088 KB Output is correct
28 Correct 22 ms 25728 KB Output is correct
29 Correct 20 ms 24576 KB Output is correct
30 Correct 21 ms 25088 KB Output is correct
31 Correct 39 ms 26108 KB Output is correct
32 Correct 49 ms 27248 KB Output is correct
33 Correct 59 ms 28272 KB Output is correct
34 Correct 90 ms 32112 KB Output is correct
35 Correct 37 ms 30328 KB Output is correct
36 Correct 95 ms 33008 KB Output is correct
37 Correct 69 ms 29292 KB Output is correct
38 Correct 100 ms 33644 KB Output is correct
39 Correct 68 ms 32244 KB Output is correct
40 Correct 89 ms 30060 KB Output is correct
41 Correct 293 ms 43492 KB Output is correct
42 Correct 888 ms 99428 KB Output is correct
43 Correct 352 ms 85744 KB Output is correct
44 Correct 1391 ms 125264 KB Output is correct
45 Correct 1390 ms 117708 KB Output is correct
46 Correct 896 ms 78160 KB Output is correct
47 Correct 1252 ms 79064 KB Output is correct
48 Correct 947 ms 108124 KB Output is correct
49 Correct 808 ms 77148 KB Output is correct
50 Correct 897 ms 76756 KB Output is correct
51 Correct 429 ms 80236 KB Output is correct
52 Correct 1297 ms 106096 KB Output is correct
53 Correct 898 ms 108768 KB Output is correct
54 Correct 1647 ms 114644 KB Output is correct
55 Correct 1824 ms 122460 KB Output is correct