Submission #1218149

#TimeUsernameProblemLanguageResultExecution timeMemory
1218149steveonalexTeleporters (IOI08_teleporters)C++20
75 / 100
601 ms47616 KiB
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(abs(a), abs(b));}
ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }

template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct DSU{
    int n;
    vector<int> parent, sz;

    DSU(int _n){
        n = _n;
        parent.resize(n); sz.resize(n, 1);
        for(int i = 0; i<n; ++i) parent[i] = i;
    }

    int find_set(int u){return (u == parent[u]) ? u : (parent[u] = find_set(parent[u]));}
    bool same_set(int u, int v){return find_set(u) == find_set(v);}

    bool join_set(int u, int v){
        u = find_set(u), v = find_set(v);
        if (u != v){
            if (sz[u] < sz[v]) swap(u, v);
            parent[v] = u;
            sz[u] += sz[v];
            return true;
        }
        return false;
    }

    int get_size(int u){return sz[find_set(u)];}
};

const int N = 2e6 + 69;
int graph[N];

void solve(){
    int n, m; cin >> n >> m;
    vector<pair<int, int>> a(n);
    for(int i = 0; i < n; ++i) cin >> a[i].first >> a[i].second;

    vector<int> X;
    for(auto i: a){
        X.push_back(i.first);
        X.push_back(i.second);
    }

    X.push_back(0);
    remove_dup(X);

    for(auto i: a){
        int l = lower_bound(ALL(X), i.first) - X.begin() - 1;
        int r = lower_bound(ALL(X), i.second) - X.begin();

        graph[l] = r;
        graph[r-1] = l+1;
    }

    int t = X.size();
    DSU mst(t);
    for(int i = 0; i < t; ++i){
        mst.join_set(i, graph[i]);
    }

    int ans = mst.get_size(0) - 1;
    vector<int> cc;
    for(int i = 0; i < t; ++i) if (!mst.same_set(0, i) && mst.find_set(i) == i){
        cc.push_back(mst.get_size(i));
    }
    sort(ALL(cc));

    if (cc.empty()) assert(false);

    if (m > 1 && cc.empty()){
        cc.push_back(1);
        m--;
        ans++;
    }

    while(m--){
        if (cc.size()){
            int u = cc.back(); cc.pop_back();
            ans += u + 2;
        }
        else{
            ans += 2;
        }
    }

    cout << ans << "\n";
}
 
int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
 
    clock_t start = clock();
 
    solve();   
 
    cerr << "Time elapsed: " << clock() - start << "ms!\n";
    return 0;
}
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