oj.uz

Submission #551281

# Submission time Handle Problem Language Result Execution time Memory
551281 2022-04-20T08:14:15 Z elazarkoren Parachute rings (IOI12_rings) C++17
100 / 100
 1997 ms 174128 KB 
#include <bits/stdc++.h>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define chkmin(a, b) a = min(a, b)
#define chkmax(a, b) a = max(a, b)
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vii;

const int MAX_N = 1e6 + 5;

struct Dsu {
    vi par, sz, deg;
    vii max_deg;
    set<int> bad_comps;
    int erased_node;
    bool good = true;
    Dsu() {}
    Dsu(int n, int node): erased_node(node) {
        par.resize(n), sz.resize(n), deg.resize(n);
        max_deg.resize(n);
        for (int i = 0; i < n; i++) {
            par[i] = i, sz[i] = 1;
            max_deg[i] = {0, i};
        }
    }
    int Find(int i) {
        return par[i] == i ? i : par[i] = Find(par[i]);
    }
    void Union(int a, int b) {
        int pa = Find(a), pb = Find(b);
        if (pa == pb) {
            bad_comps.insert(pa);
            good = false;
            return;
        }
        if (sz[pa] < sz[pb]) swap(pa, pb);
        if (bad_comps.count(pb)) {
            bad_comps.erase(bad_comps.find(pb));
            bad_comps.insert(pa);
            good = false;
        }
        sz[pa] += sz[pb];
        par[pb] = pa;
        chkmax(max_deg[pa], max_deg[pb]);
    }
    void Add(int a, int b) {
        if (a == erased_node || b == erased_node) return;
        Union(a, b);
        int pa = Find(a);
        deg[a]++, deg[b]++;
        if (deg[a] > 2 || deg[b] > 2) {
            bad_comps.insert(pa);
            good = false;
        }
        chkmax(max_deg[pa], pii(deg[a], a));
        chkmax(max_deg[pa], pii(deg[b], b));
    }
};

int n;

Dsu d1;
bool changed = false;

vi graph[MAX_N];

void Init(int N_) {
    n = N_;
    d1 = Dsu(n, -1);
}

vector<Dsu> dsu;
vii edges;

void Link(int a, int b) {
    graph[a].push_back(b);
    graph[b].push_back(a);
    edges.push_back({a, b});
    if (!changed) {
        d1.Add(a, b);
    } else {
        for (auto &d : dsu) {
            d.Add(a, b);
        }
    }
}

int CountCritical() {
    if (changed) {
        int cnt = 0;
        for (auto &d : dsu) cnt += d.good;
        return cnt;
    }
    if (d1.good) return n;
    if (d1.bad_comps.size() == 1) {
        int node = *d1.bad_comps.begin();
        auto [max_deg, v] = d1.max_deg[node];
        if (max_deg == 2) return d1.sz[node];
        changed = true;
        int cnt = 0;
        dsu.push_back(Dsu(n, v));
        if (max_deg <= 3) {
            for (int neighbor : graph[v]) {
                dsu.push_back(Dsu(n, neighbor));
            }
        }
        for (auto &d : dsu) {
            for (pii p : edges) {
                d.Add(p.x, p.y);
            }
        }
        return CountCritical();
    }
    changed = true;
    return 0;
}

Compilation message

rings.cpp: In function 'int CountCritical()':
rings.cpp:105:13: warning: unused variable 'cnt' [-Wunused-variable]
  105 |         int cnt = 0;
      |             ^~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 18 ms 24136 KB Output is correct
3 Correct 15 ms 24148 KB Output is correct
4 Correct 14 ms 23796 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 15 ms 24084 KB Output is correct
7 Correct 13 ms 23928 KB Output is correct
8 Correct 15 ms 24020 KB Output is correct
9 Correct 20 ms 24404 KB Output is correct
10 Correct 14 ms 24476 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 449 ms 54460 KB Output is correct
2 Correct 1042 ms 86484 KB Output is correct
3 Correct 1240 ms 90900 KB Output is correct
4 Correct 1102 ms 95792 KB Output is correct
5 Correct 1141 ms 95860 KB Output is correct
6 Correct 1066 ms 94136 KB Output is correct
7 Correct 1196 ms 89420 KB Output is correct
8 Correct 1819 ms 164464 KB Output is correct
9 Correct 1997 ms 174128 KB Output is correct
10 Correct 793 ms 92860 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 18 ms 24136 KB Output is correct
3 Correct 15 ms 24148 KB Output is correct
4 Correct 14 ms 23796 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 15 ms 24084 KB Output is correct
7 Correct 13 ms 23928 KB Output is correct
8 Correct 15 ms 24020 KB Output is correct
9 Correct 20 ms 24404 KB Output is correct
10 Correct 14 ms 24476 KB Output is correct
11 Correct 15 ms 24532 KB Output is correct
12 Correct 21 ms 25200 KB Output is correct
13 Correct 20 ms 25188 KB Output is correct
14 Correct 20 ms 24464 KB Output is correct
15 Correct 21 ms 24796 KB Output is correct
16 Correct 20 ms 24460 KB Output is correct
17 Correct 18 ms 24360 KB Output is correct
18 Correct 22 ms 24736 KB Output is correct
19 Correct 17 ms 24380 KB Output is correct
20 Correct 20 ms 25184 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 18 ms 24136 KB Output is correct
3 Correct 15 ms 24148 KB Output is correct
4 Correct 14 ms 23796 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 15 ms 24084 KB Output is correct
7 Correct 13 ms 23928 KB Output is correct
8 Correct 15 ms 24020 KB Output is correct
9 Correct 20 ms 24404 KB Output is correct
10 Correct 14 ms 24476 KB Output is correct
11 Correct 15 ms 24532 KB Output is correct
12 Correct 21 ms 25200 KB Output is correct
13 Correct 20 ms 25188 KB Output is correct
14 Correct 20 ms 24464 KB Output is correct
15 Correct 21 ms 24796 KB Output is correct
16 Correct 20 ms 24460 KB Output is correct
17 Correct 18 ms 24360 KB Output is correct
18 Correct 22 ms 24736 KB Output is correct
19 Correct 17 ms 24380 KB Output is correct
20 Correct 20 ms 25184 KB Output is correct
21 Correct 29 ms 25936 KB Output is correct
22 Correct 42 ms 27204 KB Output is correct
23 Correct 46 ms 28236 KB Output is correct
24 Correct 61 ms 29376 KB Output is correct
25 Correct 38 ms 33816 KB Output is correct
26 Correct 80 ms 35752 KB Output is correct
27 Correct 57 ms 28864 KB Output is correct
28 Correct 107 ms 35916 KB Output is correct
29 Correct 82 ms 35788 KB Output is correct
30 Correct 94 ms 29552 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 18 ms 24136 KB Output is correct
3 Correct 15 ms 24148 KB Output is correct
4 Correct 14 ms 23796 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 15 ms 24084 KB Output is correct
7 Correct 13 ms 23928 KB Output is correct
8 Correct 15 ms 24020 KB Output is correct
9 Correct 20 ms 24404 KB Output is correct
10 Correct 14 ms 24476 KB Output is correct
11 Correct 449 ms 54460 KB Output is correct
12 Correct 1042 ms 86484 KB Output is correct
13 Correct 1240 ms 90900 KB Output is correct
14 Correct 1102 ms 95792 KB Output is correct
15 Correct 1141 ms 95860 KB Output is correct
16 Correct 1066 ms 94136 KB Output is correct
17 Correct 1196 ms 89420 KB Output is correct
18 Correct 1819 ms 164464 KB Output is correct
19 Correct 1997 ms 174128 KB Output is correct
20 Correct 793 ms 92860 KB Output is correct
21 Correct 15 ms 24532 KB Output is correct
22 Correct 21 ms 25200 KB Output is correct
23 Correct 20 ms 25188 KB Output is correct
24 Correct 20 ms 24464 KB Output is correct
25 Correct 21 ms 24796 KB Output is correct
26 Correct 20 ms 24460 KB Output is correct
27 Correct 18 ms 24360 KB Output is correct
28 Correct 22 ms 24736 KB Output is correct
29 Correct 17 ms 24380 KB Output is correct
30 Correct 20 ms 25184 KB Output is correct
31 Correct 29 ms 25936 KB Output is correct
32 Correct 42 ms 27204 KB Output is correct
33 Correct 46 ms 28236 KB Output is correct
34 Correct 61 ms 29376 KB Output is correct
35 Correct 38 ms 33816 KB Output is correct
36 Correct 80 ms 35752 KB Output is correct
37 Correct 57 ms 28864 KB Output is correct
38 Correct 107 ms 35916 KB Output is correct
39 Correct 82 ms 35788 KB Output is correct
40 Correct 94 ms 29552 KB Output is correct
41 Correct 226 ms 47192 KB Output is correct
42 Correct 855 ms 132060 KB Output is correct
43 Correct 326 ms 121824 KB Output is correct
44 Correct 1333 ms 161344 KB Output is correct
45 Correct 1494 ms 157928 KB Output is correct
46 Correct 724 ms 84400 KB Output is correct
47 Correct 933 ms 85372 KB Output is correct
48 Correct 934 ms 150708 KB Output is correct
49 Correct 688 ms 84928 KB Output is correct
50 Correct 735 ms 84288 KB Output is correct
51 Correct 429 ms 110988 KB Output is correct
52 Correct 1123 ms 134696 KB Output is correct
53 Correct 970 ms 151660 KB Output is correct
54 Correct 1563 ms 145524 KB Output is correct
55 Correct 1845 ms 156596 KB Output is correct