Cod sursa(job #2680159)

Utilizator florinrafiliuRafiliu Florin florinrafiliu Data 2 decembrie 2020 20:09:50
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.15 kb
#include <iostream>
#include <fstream>
using namespace std;

ifstream fin ("scmax.in");
ofstream fout ("scmax.out");

const int max_n = 1e5 + 1;

int dp[max_n], p[max_n], v[max_n], ans[max_n];

int Sclm(int n)
{
    int k = 1;
    dp[1] = v[1];
    p[1] = 1;
    for(int i = 2; i <= n; ++i) {
        if(v[i] > dp[k]) {
            dp[++k] = v[i];
            p[i] = k;
        }
        else {
            int st = 1, dr = k, poz = k + 1;
            while(st <= dr) {
                int mij = (st + dr) / 2;
                if(dp[mij] >= v[i]) {
                    poz = mij;
                    dr = mij - 1;
                }
                else
                    st = mij + 1;
            }
            p[i] = poz;
            dp[poz] = v[i];
        }
    }
    return k;
}

int main()
{
    int n; fin >> n;
    for(int i = 1; i <= n; ++i)
        fin >> v[i];
    int k = Sclm(n);
    int j = n;
    for(int i = k ; i >= 1 ; i --)
    {
        while(p[j] != i)
            j --;
        ans[i] = j;
    }
    fout << k << "\n";
    for(int i = 1; i <= k; i++)
        fout << v[ans[i]] << " ";
    return 0;
}