oj.uz

Submission #280334

# Submission time Handle Problem Language Result Execution time Memory
280334 2020-08-22T16:22:37 Z eohomegrownapps Parachute rings (IOI12_rings) C++14
100 / 100
 2124 ms 152404 KB 
#include <bits/stdc++.h>
using namespace std;

int n;

struct UFDS{
    int n;
    vector<int> parent;
    vector<int> edges;
    vector<int> vertices;
    vector<int> vcnt;
    int numCycles = 0;
    int cycleVertices = 0;
    bool isLinear;

    UFDS(int _n){
        n=_n;
        parent.resize(n);
        edges.resize(n,0);
        vertices.resize(n,1);
        vcnt.resize(n,0);
        isLinear = true;
        for (int i = 0; i<n; i++){
            parent[i]=i;
        }
    }

    int root(int x){
        if (x==parent[x]){return x;}
        return parent[x]=root(parent[x]);
    }

    void connect(int a, int b){
        vcnt[a]++;
        vcnt[b]++;
        if (vcnt[a]>2||vcnt[b]>2){isLinear = false;}
        int ra = root(a);
        int rb = root(b);
        if (ra!=rb){
            //rb is new root
            parent[ra]=rb;
            vertices[rb]+=vertices[ra];
            edges[rb]+=edges[ra]+1;
        } else {
            //todo: what happens if we connect in existing cycle
            edges[ra]++;
            numCycles++;
            isLinear = false;
            cycleVertices+=vertices[rb];
        }
    }

    bool connected(int a, int b){
        return root(a)==root(a);
    }

    int getEdges(int x){
        return edges[root(x)];
    }

    int getVertices(int x){
        return vertices[root(x)];
    }
};

vector<vector<int>> adjlist;

vector<UFDS> threeormore;
vector<int> nodesremove;

UFDS mainufds(0);

int numcritical;

vector<pair<int,int>> links;

void Init(int N_) {
    n = N_;
    adjlist.resize(n);
    mainufds = UFDS(n);
    numcritical = n;
}

void Link(int a, int b) {
    if (threeormore.size()>0){
        //just check all four
        numcritical = 0;
        for (int i = 0; i<threeormore.size(); i++){
            if (!(nodesremove[i]==a||nodesremove[i]==b)){
                threeormore[i].connect(a,b);
            }
            if (threeormore[i].isLinear){
                //cout<<i<<' '<<a<<' '<<b<<' '<<'\n';
                numcritical++;
            }
        }
    } else {
        //have we just made three things
        if (adjlist[a].size()!=2&&adjlist[b].size()==2){
            swap(a,b);
        }
        if (adjlist[a].size()==2){
            //vector<int> nodesremove;
            nodesremove.push_back(a);
            for (int i : adjlist[a]){
                nodesremove.push_back(i);
            }
            nodesremove.push_back(b);
            //make new ufds without these nodes
            for (int i = 0; i<4; i++){
                threeormore.push_back(UFDS(n));
                for (auto l : links){
                    if (l.first==nodesremove[i]||l.second==nodesremove[i]){continue;}
                    threeormore[i].connect(l.first, l.second);
                }
            }
            Link(a,b);
            return;
        } else {
            links.push_back({a,b});
            mainufds.connect(a,b);
            adjlist[a].push_back(b);
            adjlist[b].push_back(a);
            if (mainufds.numCycles==0){
                numcritical = n;
            } else if (mainufds.numCycles==1){
                numcritical = mainufds.cycleVertices;
            } else {
                numcritical = 0;
            }
        }
    }
}

int CountCritical() {
    return numcritical;
}

Compilation message

rings.cpp: In function 'void Link(int, int)':
rings.cpp:88:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<UFDS>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |         for (int i = 0; i<threeormore.size(); i++){
      |                         ~^~~~~~~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 3 ms 896 KB Output is correct
3 Correct 3 ms 896 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 640 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 1 ms 896 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 1024 KB Output is correct
10 Correct 3 ms 1024 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 485 ms 47912 KB Output is correct
2 Correct 1345 ms 108640 KB Output is correct
3 Correct 2124 ms 115352 KB Output is correct
4 Correct 1113 ms 91988 KB Output is correct
5 Correct 1117 ms 92244 KB Output is correct
6 Correct 1078 ms 90196 KB Output is correct
7 Correct 1908 ms 115320 KB Output is correct
8 Correct 1716 ms 139724 KB Output is correct
9 Correct 1934 ms 152404 KB Output is correct
10 Correct 830 ms 89952 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 3 ms 896 KB Output is correct
3 Correct 3 ms 896 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 640 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 1 ms 896 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 1024 KB Output is correct
10 Correct 3 ms 1024 KB Output is correct
11 Correct 3 ms 1024 KB Output is correct
12 Correct 7 ms 1920 KB Output is correct
13 Correct 7 ms 1664 KB Output is correct
14 Correct 4 ms 1408 KB Output is correct
15 Correct 5 ms 2432 KB Output is correct
16 Correct 5 ms 1280 KB Output is correct
17 Correct 5 ms 1536 KB Output is correct
18 Correct 7 ms 2560 KB Output is correct
19 Correct 6 ms 1280 KB Output is correct
20 Correct 6 ms 1792 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 3 ms 896 KB Output is correct
3 Correct 3 ms 896 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 640 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 1 ms 896 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 1024 KB Output is correct
10 Correct 3 ms 1024 KB Output is correct
11 Correct 3 ms 1024 KB Output is correct
12 Correct 7 ms 1920 KB Output is correct
13 Correct 7 ms 1664 KB Output is correct
14 Correct 4 ms 1408 KB Output is correct
15 Correct 5 ms 2432 KB Output is correct
16 Correct 5 ms 1280 KB Output is correct
17 Correct 5 ms 1536 KB Output is correct
18 Correct 7 ms 2560 KB Output is correct
19 Correct 6 ms 1280 KB Output is correct
20 Correct 6 ms 1792 KB Output is correct
21 Correct 24 ms 3996 KB Output is correct
22 Correct 36 ms 6000 KB Output is correct
23 Correct 48 ms 7664 KB Output is correct
24 Correct 69 ms 10744 KB Output is correct
25 Correct 23 ms 10812 KB Output is correct
26 Correct 68 ms 11128 KB Output is correct
27 Correct 58 ms 8044 KB Output is correct
28 Correct 77 ms 10616 KB Output is correct
29 Correct 51 ms 11512 KB Output is correct
30 Correct 74 ms 9196 KB Output is correct

Subtask #5
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 3 ms 896 KB Output is correct
3 Correct 3 ms 896 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 640 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 1 ms 896 KB Output is correct
8 Correct 3 ms 640 KB Output is correct
9 Correct 3 ms 1024 KB Output is correct
10 Correct 3 ms 1024 KB Output is correct
11 Correct 485 ms 47912 KB Output is correct
12 Correct 1345 ms 108640 KB Output is correct
13 Correct 2124 ms 115352 KB Output is correct
14 Correct 1113 ms 91988 KB Output is correct
15 Correct 1117 ms 92244 KB Output is correct
16 Correct 1078 ms 90196 KB Output is correct
17 Correct 1908 ms 115320 KB Output is correct
18 Correct 1716 ms 139724 KB Output is correct
19 Correct 1934 ms 152404 KB Output is correct
20 Correct 830 ms 89952 KB Output is correct
21 Correct 3 ms 1024 KB Output is correct
22 Correct 7 ms 1920 KB Output is correct
23 Correct 7 ms 1664 KB Output is correct
24 Correct 4 ms 1408 KB Output is correct
25 Correct 5 ms 2432 KB Output is correct
26 Correct 5 ms 1280 KB Output is correct
27 Correct 5 ms 1536 KB Output is correct
28 Correct 7 ms 2560 KB Output is correct
29 Correct 6 ms 1280 KB Output is correct
30 Correct 6 ms 1792 KB Output is correct
31 Correct 24 ms 3996 KB Output is correct
32 Correct 36 ms 6000 KB Output is correct
33 Correct 48 ms 7664 KB Output is correct
34 Correct 69 ms 10744 KB Output is correct
35 Correct 23 ms 10812 KB Output is correct
36 Correct 68 ms 11128 KB Output is correct
37 Correct 58 ms 8044 KB Output is correct
38 Correct 77 ms 10616 KB Output is correct
39 Correct 51 ms 11512 KB Output is correct
40 Correct 74 ms 9196 KB Output is correct
41 Correct 246 ms 33664 KB Output is correct
42 Correct 753 ms 107840 KB Output is correct
43 Correct 352 ms 99784 KB Output is correct
44 Correct 1152 ms 106872 KB Output is correct
45 Correct 1342 ms 112844 KB Output is correct
46 Correct 778 ms 76756 KB Output is correct
47 Correct 980 ms 78164 KB Output is correct
48 Correct 668 ms 110840 KB Output is correct
49 Correct 741 ms 81116 KB Output is correct
50 Correct 788 ms 80212 KB Output is correct
51 Correct 396 ms 85864 KB Output is correct
52 Correct 1025 ms 86204 KB Output is correct
53 Correct 669 ms 109544 KB Output is correct
54 Correct 1475 ms 115744 KB Output is correct
55 Correct 1408 ms 102600 KB Output is correct