oj.uz

Submission #291044

# Submission time Handle Problem Language Result Execution time Memory
291044 2020-09-04T15:53:32 Z stoyan_malinin Parachute rings (IOI12_rings) C++14
38 / 100
 639 ms 262148 KB 
//#include "grader.cpp"

#include <set>
#include <map>
#include <vector>
#include <cstring>
#include <assert.h>
#include <iostream>
#include <algorithm>
#include <functional>

using namespace std;

const int MAXN = 1e6 + 5;

struct Graph
{
    struct DSU
    {
        int n;
        int deg[MAXN];
        int parent[MAXN], treeSize[MAXN];

        bool isBad[MAXN];
        int badComponentSz;
        int components, badComponents;

        DSU(){}
        DSU(int n)
        {
            this->n = n;
            this->components = n;
            this->badComponents = 0;

            for(int i = 0;i<n;i++)
            {
                this->deg[i] = 0;
                this->parent[i] = i;
                this->treeSize[i] = 1;
                this->isBad[i] = false;
            }
        }

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

            parent[x] = Find(parent[x]);
            return parent[x];
        }

        void Union(int u, int v)
        {
            int uOrig = u, vOrig = v;
            u = Find(u);
            v = Find(v);

            badComponents -= isBad[u];
            badComponents -= isBad[v];

            isBad[u] |= isBad[v];
            if(deg[uOrig]>1 || deg[vOrig]>1) isBad[u] = true;

            parent[v] = u;
            treeSize[u] += treeSize[v];

            badComponents += isBad[u];
            if(isBad[u]==true) badComponentSz = treeSize[u];

        }

        void addEdge(int u, int v)
        {
            if(Find(u)!=Find(v))
            {
                Union(u, v);
            }
            else
            {
                if(isBad[Find(u)]==false)
                {
                    isBad[Find(u)] = true;

                    badComponents++;
                    badComponentSz = treeSize[Find(u)];
                }
            }

            deg[u]++;
            deg[v]++;
        }
    };

    int n;
    DSU T;

    int maxDeg = 0;
    vector <int> adj[MAXN];
    vector <pair <int, int>> allEdges;

    int superDegCnt = 0;

    Graph(){}
    Graph(int n)
    {
        this->n = n;
        T = DSU(n);
    }

    void addEdge(int u, int v, bool mode = false)
    {
        T.addEdge(u, v);
        adj[u].push_back(v);
        adj[v].push_back(u);
        if(mode==true) allEdges.push_back({u, v});

        maxDeg = max(maxDeg, int(adj[u].size()));
        maxDeg = max(maxDeg, int(adj[v].size()));

        if(adj[u].size()==4) superDegCnt++;
        if(adj[v].size()==4) superDegCnt++;
    }
};

Graph G;
map <int, Graph> excludedNode;

void Init(int N)
{
    G = Graph(N);
}

void initFirst()
{
    int node = -1;
    for(int x = 0;x<G.n;x++)
    {
        if(G.adj[x].size()==3)
        {
            node = x;
            break;
        }
    }

    excludedNode[node] = Graph(G.n);
    for(int x: G.adj[node]) excludedNode[x] = Graph(G.n);

    for(auto it = excludedNode.begin();it!=excludedNode.end();it++)
    {
        int x = it->first;
        for(pair <int, int> e: G.allEdges)
        {
            if(e.first!=x && e.second!=x)
            {
                it->second.addEdge(e.first, e.second);
            }
        }
    }
}

bool initSecondCalled = false;
void initSecond()
{
    initSecondCalled = true;

    int node = -1;
    for(int x = 0;x<G.n;x++)
    {
        if(G.adj[x].size()>=4)
        {
            node = x;
            break;
        }
    }

    if(excludedNode.count(node)==false)
    {
        excludedNode[node] = Graph(G.n);
        for(pair <int, int> e: G.allEdges)
        {
            if(e.first!=node && e.second!=node)
            {
                excludedNode[node].addEdge(e.first, e.second);
            }
        }
    }
}

void Link(int A, int B)
{
    G.addEdge(A, B, true);

    if(G.maxDeg==3)
    {
        if(excludedNode.empty()==true)
        {
            initFirst();
        }
        else
        {
            for(auto it = excludedNode.begin();it!=excludedNode.end();it++)
            {
                int x = it->first;
                if(A!=x && B!=x)
                {
                    it->second.addEdge(A, B);
                }
            }
        }
    }
    else if(G.maxDeg>=4)
    {
        if(initSecondCalled==false)
        {
            for(auto it = excludedNode.begin();it!=excludedNode.end();it++)
            {
                int x = it->first;
                if(A!=x && B!=x)
                {
                    it->second.addEdge(A, B);
                }
            }

            initSecond();
        }
        else
        {
            for(auto it = excludedNode.begin();it!=excludedNode.end();it++)
            {
                int x = it->first;
                if(A!=x && B!=x)
                {
                    it->second.addEdge(A, B);
                }
            }
        }
    }
}

int CountCritical()
{
    if(G.maxDeg<=2)
    {
        if(G.T.badComponents>1) return 0;
        if(G.T.badComponents==1) return G.T.badComponentSz;

        return G.n;
    }

    int ans = 0;
    for(auto it = excludedNode.begin();it!=excludedNode.end();it++)
    {
        if(it->second.T.badComponents==0 && it->second.maxDeg<=2)
        {
            ans++;
        }
    }

    return ans;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 72696 KB Output is correct
2 Correct 203 ms 218360 KB Output is correct
3 Correct 208 ms 218488 KB Output is correct
4 Correct 62 ms 72824 KB Output is correct
5 Correct 62 ms 72952 KB Output is correct
6 Correct 63 ms 73080 KB Output is correct
7 Correct 202 ms 217848 KB Output is correct
8 Correct 62 ms 72952 KB Output is correct
9 Correct 215 ms 218464 KB Output is correct
10 Correct 212 ms 218488 KB Output is correct

Subtask #2
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 560 ms 99784 KB Output is correct
2 Runtime error 639 ms 262148 KB Execution killed with signal 9
3 Halted 0 ms 0 KB -

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 72696 KB Output is correct
2 Correct 203 ms 218360 KB Output is correct
3 Correct 208 ms 218488 KB Output is correct
4 Correct 62 ms 72824 KB Output is correct
5 Correct 62 ms 72952 KB Output is correct
6 Correct 63 ms 73080 KB Output is correct
7 Correct 202 ms 217848 KB Output is correct
8 Correct 62 ms 72952 KB Output is correct
9 Correct 215 ms 218464 KB Output is correct
10 Correct 212 ms 218488 KB Output is correct
11 Correct 242 ms 254916 KB Output is correct
12 Correct 250 ms 255864 KB Output is correct
13 Correct 220 ms 219384 KB Output is correct
14 Correct 214 ms 218744 KB Output is correct
15 Correct 214 ms 218616 KB Output is correct
16 Correct 65 ms 73336 KB Output is correct
17 Correct 220 ms 219424 KB Output is correct
18 Correct 257 ms 256504 KB Output is correct
19 Correct 65 ms 73336 KB Output is correct
20 Correct 219 ms 219512 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 72696 KB Output is correct
2 Correct 203 ms 218360 KB Output is correct
3 Correct 208 ms 218488 KB Output is correct
4 Correct 62 ms 72824 KB Output is correct
5 Correct 62 ms 72952 KB Output is correct
6 Correct 63 ms 73080 KB Output is correct
7 Correct 202 ms 217848 KB Output is correct
8 Correct 62 ms 72952 KB Output is correct
9 Correct 215 ms 218464 KB Output is correct
10 Correct 212 ms 218488 KB Output is correct
11 Correct 242 ms 254916 KB Output is correct
12 Correct 250 ms 255864 KB Output is correct
13 Correct 220 ms 219384 KB Output is correct
14 Correct 214 ms 218744 KB Output is correct
15 Correct 214 ms 218616 KB Output is correct
16 Correct 65 ms 73336 KB Output is correct
17 Correct 220 ms 219424 KB Output is correct
18 Correct 257 ms 256504 KB Output is correct
19 Correct 65 ms 73336 KB Output is correct
20 Correct 219 ms 219512 KB Output is correct
21 Correct 80 ms 74612 KB Output is correct
22 Correct 97 ms 75760 KB Output is correct
23 Correct 107 ms 76528 KB Output is correct
24 Correct 400 ms 226416 KB Output is correct
25 Correct 233 ms 220024 KB Output is correct
26 Correct 399 ms 229488 KB Output is correct
27 Correct 116 ms 77232 KB Output is correct
28 Correct 471 ms 233196 KB Output is correct
29 Runtime error 316 ms 262148 KB Execution killed with signal 9
30 Halted 0 ms 0 KB -

Subtask #5
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 72696 KB Output is correct
2 Correct 203 ms 218360 KB Output is correct
3 Correct 208 ms 218488 KB Output is correct
4 Correct 62 ms 72824 KB Output is correct
5 Correct 62 ms 72952 KB Output is correct
6 Correct 63 ms 73080 KB Output is correct
7 Correct 202 ms 217848 KB Output is correct
8 Correct 62 ms 72952 KB Output is correct
9 Correct 215 ms 218464 KB Output is correct
10 Correct 212 ms 218488 KB Output is correct
11 Correct 560 ms 99784 KB Output is correct
12 Runtime error 639 ms 262148 KB Execution killed with signal 9
13 Halted 0 ms 0 KB -