Cod sursa(job #3355973)

Utilizator rapidu36Victor Manz rapidu36 Data 28 mai 2026 09:10:53
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.5 kb
#include <fstream>
#include <vector>

using namespace std;

void refac_subsir(int p, int lungime, vector <int> &x, vector <int> &lung, int v_min, ofstream &out) {
    if (lungime == 0) {
        return;
    }
    if (lung[p] == lungime && x[p] <= v_min) {
        refac_subsir(p - 1, lungime - 1, x, lung, x[p] - 1, out);
        out << x[p] << " ";
    } else {
        refac_subsir(p - 1, lungime, x, lung, v_min, out);
    }
}

int caut_bin(vector <int> &v_min, int x_i) {
    int n = (int)v_min.size() - 1;
    int st = 1, dr = n, rez = st - 1;
    while (st <= dr) {
        int m = (st + dr) / 2;
        if (v_min[m] < x_i) {
            rez = m;
            st = m + 1;
        } else {
            dr = m - 1;
        }
    }
    return rez;
}

int main() {
    ifstream in("scmax.in");
    ofstream out("scmax.out");
    int n;
    in >> n;
    vector <int> x(n);
    vector <int> lung(n, 0);
    vector <int> val_min;
    val_min.reserve(n + 1);
    val_min.push_back(-1); // doar ca sa am vectorul indexat de la 1
    int p_max = 0;
    for (int i = 0; i < n; i++) {
        in >> x[i];
        int k = caut_bin(val_min, x[i]);
        lung[i] = 1 + k;
        if (k == (int)val_min.size() - 1) {
            val_min.push_back(x[i]);
        } else {
            val_min[k+1] = x[i];
        }
        if (lung[i] > lung[p_max]) {
            p_max = i;
        }
    }
    in.close();
    out << lung[p_max] << "\n";
    refac_subsir(p_max, lung[p_max], x, lung, x[p_max], out);
    out << "\n";
    out.close();
    return 0;
}