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Submission #806677

# Submission time Handle Problem Language Result Execution time Memory
806677 2023-08-04T08:47:07 Z QwertyPi Parachute rings (IOI12_rings) C++14
100 / 100
 1455 ms 134936 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAXN = 1e6 + 11;
int N, M;
int deg[MAXN], a[MAXN], b[MAXN];
vector<int> G[MAXN];

struct DSU{
    int dsu[MAXN], sz[MAXN];
    void init(int n){
        for(int i = 0; i < n; i++) dsu[i] = i, sz[i] = 1;
    }
    int f(int x){
        return x == dsu[x] ? x : dsu[x] = f(dsu[x]);
    }
    int size(int x){
        return sz[f(x)];
    }
    bool g(int x, int y){
        x = f(x), y = f(y); if(x == y) return false;
        dsu[x] = y; sz[y] += sz[x]; return true;
    }
} dsu;

struct Case{
    int v; DSU dsu; bool ok; int deg[MAXN];
    void init(int v){
        Case::v = v;
        ok = true; dsu.init(N);
        fill(deg, deg + N, 0);
        for(int i = 0; i < M; i++){
            if(a[i] == v || b[i] == v) continue;
            deg[a[i]]++; deg[b[i]]++;
            if(deg[a[i]] >= 3 || deg[b[i]] >= 3)
                ok = false;
            if(!dsu.g(a[i], b[i]))
                ok = false;
        }
    };
    void link(){
        int i = M - 1;
        if(a[i] == v || b[i] == v) return;
        deg[a[i]]++; deg[b[i]]++;
        if(deg[a[i]] >= 3 || deg[b[i]] >= 3)
            ok = false;
        if(!dsu.g(a[i], b[i]))
            ok = false;
    }
    bool isCritical(){
        return ok;
    }
} cases[4];

int caseCount = 0;

void Init(int N_) {
    N = N_; dsu.init(N);
}

bool byCase = false;
int cycleCount = 0, cycleLength = 0;
void Link(int A, int B) {
    deg[A]++; deg[B]++; a[M] = A, b[M] = B, M++;
    G[A].push_back(B); G[B].push_back(A);

    if(byCase){
        for(int i = 0; i < caseCount; i++) cases[i].link();
        return;
    }

    int v = -1; if(deg[A] >= 3) v = A; if(deg[B] >= 3) v = B;
    
    if(v == -1){
        bool b = dsu.g(A, B);
        if(!b) cycleCount++, cycleLength += dsu.size(A);
        return;
    }

    byCase = true;
    cases[caseCount++].init(v);
    for(auto u : G[v]){
        cases[caseCount++].init(u);
    }
}

int CountCritical() {
    int ans = 0;
    if(byCase){
        for(int i = 0; i < caseCount; i++) ans += cases[i].isCritical();
    }else{
        if(cycleCount >= 2) ans = 0;
        else if(cycleCount == 1) ans = cycleLength;
        else ans = N;
    }
    return ans;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 13 ms 24324 KB Output is correct
3 Correct 13 ms 24404 KB Output is correct
4 Correct 12 ms 23796 KB Output is correct
5 Correct 12 ms 24020 KB Output is correct
6 Correct 13 ms 24152 KB Output is correct
7 Correct 13 ms 24188 KB Output is correct
8 Correct 14 ms 24092 KB Output is correct
9 Correct 14 ms 24404 KB Output is correct
10 Correct 15 ms 24488 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 368 ms 57152 KB Output is correct
2 Correct 910 ms 112748 KB Output is correct
3 Correct 1455 ms 129792 KB Output is correct
4 Correct 799 ms 87976 KB Output is correct
5 Correct 877 ms 88040 KB Output is correct
6 Correct 804 ms 86240 KB Output is correct
7 Correct 1420 ms 128412 KB Output is correct
8 Correct 1002 ms 127908 KB Output is correct
9 Correct 1027 ms 134936 KB Output is correct
10 Correct 567 ms 85732 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 13 ms 24324 KB Output is correct
3 Correct 13 ms 24404 KB Output is correct
4 Correct 12 ms 23796 KB Output is correct
5 Correct 12 ms 24020 KB Output is correct
6 Correct 13 ms 24152 KB Output is correct
7 Correct 13 ms 24188 KB Output is correct
8 Correct 14 ms 24092 KB Output is correct
9 Correct 14 ms 24404 KB Output is correct
10 Correct 15 ms 24488 KB Output is correct
11 Correct 16 ms 24404 KB Output is correct
12 Correct 17 ms 24944 KB Output is correct
13 Correct 17 ms 24916 KB Output is correct
14 Correct 15 ms 24760 KB Output is correct
15 Correct 15 ms 25368 KB Output is correct
16 Correct 16 ms 24388 KB Output is correct
17 Correct 17 ms 25044 KB Output is correct
18 Correct 18 ms 25704 KB Output is correct
19 Correct 18 ms 24404 KB Output is correct
20 Correct 16 ms 25040 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 13 ms 24324 KB Output is correct
3 Correct 13 ms 24404 KB Output is correct
4 Correct 12 ms 23796 KB Output is correct
5 Correct 12 ms 24020 KB Output is correct
6 Correct 13 ms 24152 KB Output is correct
7 Correct 13 ms 24188 KB Output is correct
8 Correct 14 ms 24092 KB Output is correct
9 Correct 14 ms 24404 KB Output is correct
10 Correct 15 ms 24488 KB Output is correct
11 Correct 16 ms 24404 KB Output is correct
12 Correct 17 ms 24944 KB Output is correct
13 Correct 17 ms 24916 KB Output is correct
14 Correct 15 ms 24760 KB Output is correct
15 Correct 15 ms 25368 KB Output is correct
16 Correct 16 ms 24388 KB Output is correct
17 Correct 17 ms 25044 KB Output is correct
18 Correct 18 ms 25704 KB Output is correct
19 Correct 18 ms 24404 KB Output is correct
20 Correct 16 ms 25040 KB Output is correct
21 Correct 25 ms 25992 KB Output is correct
22 Correct 32 ms 27288 KB Output is correct
23 Correct 37 ms 28204 KB Output is correct
24 Correct 52 ms 32080 KB Output is correct
25 Correct 25 ms 30292 KB Output is correct
26 Correct 47 ms 32940 KB Output is correct
27 Correct 42 ms 29156 KB Output is correct
28 Correct 61 ms 33520 KB Output is correct
29 Correct 52 ms 32196 KB Output is correct
30 Correct 47 ms 30028 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 13 ms 24324 KB Output is correct
3 Correct 13 ms 24404 KB Output is correct
4 Correct 12 ms 23796 KB Output is correct
5 Correct 12 ms 24020 KB Output is correct
6 Correct 13 ms 24152 KB Output is correct
7 Correct 13 ms 24188 KB Output is correct
8 Correct 14 ms 24092 KB Output is correct
9 Correct 14 ms 24404 KB Output is correct
10 Correct 15 ms 24488 KB Output is correct
11 Correct 368 ms 57152 KB Output is correct
12 Correct 910 ms 112748 KB Output is correct
13 Correct 1455 ms 129792 KB Output is correct
14 Correct 799 ms 87976 KB Output is correct
15 Correct 877 ms 88040 KB Output is correct
16 Correct 804 ms 86240 KB Output is correct
17 Correct 1420 ms 128412 KB Output is correct
18 Correct 1002 ms 127908 KB Output is correct
19 Correct 1027 ms 134936 KB Output is correct
20 Correct 567 ms 85732 KB Output is correct
21 Correct 16 ms 24404 KB Output is correct
22 Correct 17 ms 24944 KB Output is correct
23 Correct 17 ms 24916 KB Output is correct
24 Correct 15 ms 24760 KB Output is correct
25 Correct 15 ms 25368 KB Output is correct
26 Correct 16 ms 24388 KB Output is correct
27 Correct 17 ms 25044 KB Output is correct
28 Correct 18 ms 25704 KB Output is correct
29 Correct 18 ms 24404 KB Output is correct
30 Correct 16 ms 25040 KB Output is correct
31 Correct 25 ms 25992 KB Output is correct
32 Correct 32 ms 27288 KB Output is correct
33 Correct 37 ms 28204 KB Output is correct
34 Correct 52 ms 32080 KB Output is correct
35 Correct 25 ms 30292 KB Output is correct
36 Correct 47 ms 32940 KB Output is correct
37 Correct 42 ms 29156 KB Output is correct
38 Correct 61 ms 33520 KB Output is correct
39 Correct 52 ms 32196 KB Output is correct
40 Correct 47 ms 30028 KB Output is correct
41 Correct 152 ms 43340 KB Output is correct
42 Correct 399 ms 99312 KB Output is correct
43 Correct 242 ms 85648 KB Output is correct
44 Correct 907 ms 125180 KB Output is correct
45 Correct 913 ms 116860 KB Output is correct
46 Correct 558 ms 77992 KB Output is correct
47 Correct 754 ms 78860 KB Output is correct
48 Correct 559 ms 107976 KB Output is correct
49 Correct 514 ms 77048 KB Output is correct
50 Correct 575 ms 76540 KB Output is correct
51 Correct 286 ms 80288 KB Output is correct
52 Correct 770 ms 105864 KB Output is correct
53 Correct 568 ms 108404 KB Output is correct
54 Correct 969 ms 114292 KB Output is correct
55 Correct 1210 ms 122308 KB Output is correct