Cod sursa(job #3148347)

Utilizator not_anduAndu Scheusan not_andu Data 31 august 2023 11:23:05
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.07 kb
#include <bits/stdc++.h>
#pragma GCC optimize("O3")

using namespace std;

#define INFILE "scmax.in"
#define OUTFILE "scmax.out"

const int VMAX = 1e5 + 2;

int n;
int v[VMAX], d[VMAX], prv[VMAX];

struct AIB {

    int n;
    pair<int , int> aib[VMAX];
    
    AIB (int N){

        n = N;

        for (int i = 1; i <= n; i++){

            aib[i] = make_pair(0, 0);

        }

    }

    void update (int pos , int val){

        for (int i = pos; i <= n; i += (i & -i)){

            if (val > aib[i].first){

                aib[i] = make_pair(val, pos);

            }

        }

    }

    pair<int , int> query (int pos){

        pair<int , int> rez = make_pair(0, 0);

        for (int i = pos; i > 0; i -= (i & -i)){

            rez = max(aib[i] , rez);

        }

        return rez;
    }

};

map<int, int> norma;
map<int, int> revNorma;

void solve(){

    vector<int> vals;

    cin >> n;

    for(int i = 1; i <= n; ++i){

        cin >> v[i];

        ++norma[v[i]];

        if(norma[v[i]] == 1){

            vals.push_back(v[i]);

        }

    }

    sort(vals.begin(), vals.end());

    for(int i = 0; i < vals.size(); ++i){

        norma[vals[i]] = i + 1;

        revNorma[i + 1] = vals[i];

    }

    for(int i = 1; i <= n; ++i){

        v[i] = norma[v[i]];

    }

    AIB aib(n);

    int ans, crt;

    ans = 0, crt = -1;

    vector<int> res(ans);

    for(int i = 1; i <= n; ++i){

        pair<int, int> q = aib.query(v[i] - 1);

        d[v[i]] = q.first + 1;
    
        prv[v[i]] = q.second;

        aib.update(v[i], d[v[i]]);

        if(d[v[i]] > ans){

            ans = d[v[i]];

            crt = v[i];

        }

    }

    vector<int> result(ans);

    for(int i = ans - 1; i >= 0; --i){

        result[i] = revNorma[crt];

        crt = prv[crt];

    }

    cout << ans << '\n';

    for(int i = 0; i < ans; ++i){

        cout << result[i] << " ";

    }
    
}

int main(){
    
    ios_base::sync_with_stdio(false);

    freopen(INFILE, "r", stdin);
    freopen(OUTFILE, "w", stdout);

    cin.tie(nullptr);
    cout.tie(nullptr);

    solve();

    return 0;
}