Submission #7709

# Submission time Handle Problem Language Result Execution time Memory
7709 2014-08-15T06:21:02 Z baneling100 Parachute rings (IOI12_rings) C++
100 / 100
1955 ms 110172 KB
#include <algorithm>
#include <vector>

using namespace std;

typedef pair <int,int> ppair;
vector <int> Ring[1000000];
vector <ppair> Line;
int N, Three, Anc[1000000][4], Cycle[4], Deg[1000000][4], Size[1000000][4], MaxDeg[4], CycleSize, Die[4];

void Init(int N_) {

    int i;

    N = N_;
    for(i=0 ; i<N ; i++) {
        Size[i][0]=Size[i][1]=Size[i][2]=Size[i][3]=1;
        Anc[i][0]=Anc[i][1]=Anc[i][2]=Anc[i][3]=-1;
    }
}

int FindAnc(int X, int Y) {

    int Father, Temp;

    Father=X;
    while(Anc[Father][Y]>=0) {
        Father=Anc[Father][Y];
    }
    while(Anc[X][Y]>=0) {
        Temp=Anc[X][Y];
        Anc[X][Y]=Father;
        X=Temp;
    }
    return Father;
}

void DivideThree(int X) {

    int i, j=Line.size(), k, P, Q;

    for(i=0 ; i<N ; i++) {
        Anc[i][0]=-1;
        Deg[i][0]=0;
        Size[i][0]=1;
    }
    Cycle[0]=0;
    Die[0]=X;
    for(i=0 ; i<j ; i++)
        if(Line[i].first!=X && Line[i].second!=X) {
            Deg[Line[i].first][0]++;
            Deg[Line[i].second][0]++;
            if(MaxDeg[0]<Deg[Line[i].first][0])
                MaxDeg[0]=Deg[Line[i].first][0];
            if(MaxDeg[0]<Deg[Line[i].second][0])
                MaxDeg[0]=Deg[Line[i].second][0];
            P=FindAnc(Line[i].first,0);
            Q=FindAnc(Line[i].second,0);
            if(P<Q) {
                Anc[Q][0]=P;
                Size[P][0]+=Size[Q][0];
                Size[Q][0]=0;
            }
            else if(P>Q) {
                Anc[P][0]=Q;
                Size[Q][0]+=Size[P][0];
                Size[P][0]=0;
            }
            else
                Cycle[0]++;
        }
    for(k=0 ; k<3 ; k++) {
        Die[k+1]=Ring[X][k];
        for(i=0 ; i<j ; i++)
            if(Line[i].first!=Ring[X][k] && Line[i].second!=Ring[X][k]) {
                Deg[Line[i].first][k+1]++;
                Deg[Line[i].second][k+1]++;
                if(MaxDeg[k+1]<Deg[Line[i].first][k+1])
                    MaxDeg[k+1]=Deg[Line[i].first][k+1];
                if(MaxDeg[k+1]<Deg[Line[i].second][k+1])
                    MaxDeg[k+1]=Deg[Line[i].second][k+1];
                P=FindAnc(Line[i].first,k+1);
                Q=FindAnc(Line[i].second,k+1);
                if(P<Q) {
                    Anc[Q][k+1]=P;
                    Size[P][k+1]+=Size[Q][k+1];
                    Size[Q][k+1]=0;
                }
                else if(P>Q) {
                    Anc[P][k+1]=Q;
                    Size[Q][k+1]+=Size[P][k+1];
                    Size[P][k+1]=0;
                }
                else
                    Cycle[k+1]++;
            }
    }
}

void Link(int A, int B) {

    int i, X, Y;

    Ring[A].push_back(B);
    Ring[B].push_back(A);
    Line.push_back(make_pair(A,B));
    if(Three)
        for(i=0 ; i<4 ; i++) {
            if(A!=Die[i] && B!=Die[i]) {
                Deg[A][i]++;
                Deg[B][i]++;
                if(MaxDeg[i]<Deg[A][i])
                    MaxDeg[i]=Deg[A][i];
                if(MaxDeg[i]<Deg[B][i])
                    MaxDeg[i]=Deg[B][i];
                X=FindAnc(A,i);
                Y=FindAnc(B,i);
                if(X<Y) {
                    Anc[Y][i]=X;
                    Size[X][i]+=Size[Y][i];
                    Size[Y][i]=0;
                }
                else if(X>Y) {
                    Anc[X][i]=Y;
                    Size[Y][i]+=Size[X][i];
                    Size[X][i]=0;
                }
                else
                    Cycle[i]++;
            }
        }
    else {
        Deg[A][0]++;
        Deg[B][0]++;
        X=FindAnc(A,0);
        Y=FindAnc(B,0);
        if(X<Y) {
            Anc[Y][0]=X;
            Size[X][0]+=Size[Y][0];
            Size[Y][0]=0;
        }
        else if(X>Y) {
            Anc[X][0]=Y;
            Size[Y][0]+=Size[X][0];
            Size[X][0]=0;
        }
        else {
            Cycle[0]++;
            CycleSize=Size[X][0];
        }
        if(Deg[A][0]>=3) {
            DivideThree(A);
            Three=1;
        }
        else if(Deg[B][0]>=3) {
            DivideThree(B);
            Three=1;
        }
    }
}

int CountCritical(void) {

    int i, Cnt=0;

    if(Three) {
        for(i=0 ; i<4 ; i++)
            if(MaxDeg[i]<=2 && !Cycle[i])
                Cnt++;
        return Cnt;
    }
    else {
        if(Cycle[0]==0)
            return N;
        else if(Cycle[0]==1)
            return CycleSize;
        else
            return 0;
    }
}
# Verdict Execution time Memory Grader output
1 Correct 27 ms 23736 KB Output is correct
2 Correct 24 ms 24436 KB Output is correct
3 Correct 24 ms 24436 KB Output is correct
4 Correct 21 ms 24436 KB Output is correct
5 Correct 23 ms 24436 KB Output is correct
6 Correct 24 ms 24480 KB Output is correct
7 Correct 22 ms 24480 KB Output is correct
8 Correct 24 ms 24480 KB Output is correct
9 Correct 25 ms 24572 KB Output is correct
10 Correct 25 ms 24572 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 556 ms 69024 KB Output is correct
2 Correct 1360 ms 93032 KB Output is correct
3 Correct 1470 ms 105728 KB Output is correct
4 Correct 1525 ms 110172 KB Output is correct
5 Correct 1696 ms 110172 KB Output is correct
6 Correct 1701 ms 110172 KB Output is correct
7 Correct 1518 ms 110172 KB Output is correct
8 Correct 1776 ms 110172 KB Output is correct
9 Correct 1955 ms 110172 KB Output is correct
10 Correct 931 ms 110172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 23736 KB Output is correct
2 Correct 24 ms 24436 KB Output is correct
3 Correct 24 ms 24436 KB Output is correct
4 Correct 21 ms 24436 KB Output is correct
5 Correct 23 ms 24436 KB Output is correct
6 Correct 24 ms 24480 KB Output is correct
7 Correct 22 ms 24480 KB Output is correct
8 Correct 24 ms 24480 KB Output is correct
9 Correct 25 ms 24572 KB Output is correct
10 Correct 25 ms 24572 KB Output is correct
11 Correct 28 ms 110172 KB Output is correct
12 Correct 29 ms 110172 KB Output is correct
13 Correct 29 ms 110172 KB Output is correct
14 Correct 26 ms 110172 KB Output is correct
15 Correct 26 ms 110172 KB Output is correct
16 Correct 30 ms 110172 KB Output is correct
17 Correct 29 ms 110172 KB Output is correct
18 Correct 30 ms 110172 KB Output is correct
19 Correct 27 ms 110172 KB Output is correct
20 Correct 29 ms 110172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 23736 KB Output is correct
2 Correct 24 ms 24436 KB Output is correct
3 Correct 24 ms 24436 KB Output is correct
4 Correct 21 ms 24436 KB Output is correct
5 Correct 23 ms 24436 KB Output is correct
6 Correct 24 ms 24480 KB Output is correct
7 Correct 22 ms 24480 KB Output is correct
8 Correct 24 ms 24480 KB Output is correct
9 Correct 25 ms 24572 KB Output is correct
10 Correct 25 ms 24572 KB Output is correct
11 Correct 28 ms 110172 KB Output is correct
12 Correct 29 ms 110172 KB Output is correct
13 Correct 29 ms 110172 KB Output is correct
14 Correct 26 ms 110172 KB Output is correct
15 Correct 26 ms 110172 KB Output is correct
16 Correct 30 ms 110172 KB Output is correct
17 Correct 29 ms 110172 KB Output is correct
18 Correct 30 ms 110172 KB Output is correct
19 Correct 27 ms 110172 KB Output is correct
20 Correct 29 ms 110172 KB Output is correct
21 Correct 46 ms 110172 KB Output is correct
22 Correct 64 ms 110172 KB Output is correct
23 Correct 101 ms 110172 KB Output is correct
24 Correct 82 ms 110172 KB Output is correct
25 Correct 40 ms 110172 KB Output is correct
26 Correct 78 ms 110172 KB Output is correct
27 Correct 87 ms 110172 KB Output is correct
28 Correct 87 ms 110172 KB Output is correct
29 Correct 66 ms 110172 KB Output is correct
30 Correct 100 ms 110172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 23736 KB Output is correct
2 Correct 24 ms 24436 KB Output is correct
3 Correct 24 ms 24436 KB Output is correct
4 Correct 21 ms 24436 KB Output is correct
5 Correct 23 ms 24436 KB Output is correct
6 Correct 24 ms 24480 KB Output is correct
7 Correct 22 ms 24480 KB Output is correct
8 Correct 24 ms 24480 KB Output is correct
9 Correct 25 ms 24572 KB Output is correct
10 Correct 25 ms 24572 KB Output is correct
11 Correct 556 ms 69024 KB Output is correct
12 Correct 1360 ms 93032 KB Output is correct
13 Correct 1470 ms 105728 KB Output is correct
14 Correct 1525 ms 110172 KB Output is correct
15 Correct 1696 ms 110172 KB Output is correct
16 Correct 1701 ms 110172 KB Output is correct
17 Correct 1518 ms 110172 KB Output is correct
18 Correct 1776 ms 110172 KB Output is correct
19 Correct 1955 ms 110172 KB Output is correct
20 Correct 931 ms 110172 KB Output is correct
21 Correct 28 ms 110172 KB Output is correct
22 Correct 29 ms 110172 KB Output is correct
23 Correct 29 ms 110172 KB Output is correct
24 Correct 26 ms 110172 KB Output is correct
25 Correct 26 ms 110172 KB Output is correct
26 Correct 30 ms 110172 KB Output is correct
27 Correct 29 ms 110172 KB Output is correct
28 Correct 30 ms 110172 KB Output is correct
29 Correct 27 ms 110172 KB Output is correct
30 Correct 29 ms 110172 KB Output is correct
31 Correct 46 ms 110172 KB Output is correct
32 Correct 64 ms 110172 KB Output is correct
33 Correct 101 ms 110172 KB Output is correct
34 Correct 82 ms 110172 KB Output is correct
35 Correct 40 ms 110172 KB Output is correct
36 Correct 78 ms 110172 KB Output is correct
37 Correct 87 ms 110172 KB Output is correct
38 Correct 87 ms 110172 KB Output is correct
39 Correct 66 ms 110172 KB Output is correct
40 Correct 100 ms 110172 KB Output is correct
41 Correct 289 ms 110172 KB Output is correct
42 Correct 748 ms 110172 KB Output is correct
43 Correct 335 ms 110172 KB Output is correct
44 Correct 912 ms 110172 KB Output is correct
45 Correct 957 ms 110172 KB Output is correct
46 Correct 865 ms 110172 KB Output is correct
47 Correct 1303 ms 110172 KB Output is correct
48 Correct 667 ms 110172 KB Output is correct
49 Correct 879 ms 110172 KB Output is correct
50 Correct 973 ms 110172 KB Output is correct
51 Correct 453 ms 110172 KB Output is correct
52 Correct 770 ms 110172 KB Output is correct
53 Correct 669 ms 110172 KB Output is correct
54 Correct 1389 ms 110172 KB Output is correct
55 Correct 1353 ms 110172 KB Output is correct