Cod sursa(job #3335458)

Utilizator Cristian_NegoitaCristian Negoita Cristian_Negoita Data 22 ianuarie 2026 18:42:30
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.1 kb
#include <bits/stdc++.h>
using namespace std;
ifstream fin("scmax.in");
ofstream fout("scmax.out");
const int NMAX = 1e5 + 1;
int n, m, arr[NMAX], aux[NMAX], dp[NMAX];
map<int, int> real_value;

class SegmentTree
{
private:
    int tree[4 * NMAX];
public:
    void update(int node, int st, int dr, int poz, int val)
    {
        if(st == dr)
        {
            tree[node] = val;
            return;
        }
        int mid = (st + dr) / 2;
        if(poz <= mid)
            update(2 * node, st, mid, poz, val);
        else
            update(2 * node + 1, mid + 1, dr, poz, val);
        tree[node] = max(tree[2 * node], tree[2 * node + 1]);
    }
    int query(int node, int st, int dr, int qst, int qdr)
    {
        if(qdr < st || dr < qst)
            return 0;
        if(qst <= st && dr <= qdr)
            return tree[node];
        int mid = (st + dr) / 2;
        return max(query(2 * node, st, mid, qst, qdr), query(2 * node + 1, mid + 1, dr, qst, qdr));
    }
};
SegmentTree aint;

void compress()
{
    memcpy(aux, arr, sizeof(arr));
    sort(aux + 1, aux + n + 1);
    for(int i = 1; i <= n; i++)
        if(aux[i] != aux[i - 1])
            aux[++m] = aux[i];
    for(int i = 1; i <= n; i++)
    {
        int c = lower_bound(aux + 1, aux + m + 1, arr[i]) - aux;
        real_value[c] = arr[i];
        arr[i] = c;
    }
}

int main()
{
    fin >> n;
    for(int i = 1; i <= n; i++)
        fin >> arr[i];
    compress();
    for(int i = 1; i <= n; i++)
    {
        dp[i] = 1 + aint.query(1, 1, m, 1, arr[i] - 1);
        aint.update(1, 1, m, arr[i], dp[i]);
    }
    int length = *max_element(dp + 1, dp + n + 1), last = 1e9;
    fout << length << "\n";
    vector<int> subsir;
    for(int i = n; i >= 1; i--)
    {
        if(dp[i] == length && arr[i] < last)
        {
            subsir.push_back(arr[i]);
            length--;
            last = subsir.back();
        }
    }
    reverse(subsir.begin(), subsir.end());
    for(int i : subsir)
        fout << real_value[i] << " ";

    fin.close();
    fout.close();
    return 0;
}