Cod sursa(job #2958567)

Utilizator Luka77Anastase Luca George Luka77 Data 26 decembrie 2022 23:13:45
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.18 kb
#include <bits/stdc++.h>
using namespace std;

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

/// GLOBAL VARIABLES
const int NMAX = 1e5+5;
int n;
int arr[NMAX], dp[NMAX], poz[NMAX], idx[NMAX];

/// SOLUTION
inline void solve()
{
    int k = 1;
    dp[1] = arr[1];
    for(int i = 1; i <= n; ++ i)
    {
        if(arr[i] > dp[k])
            dp[++k] = arr[i], poz[i] = k;
        else
        {
            int st = 1, dr = k, pos = k + 1;
            while(st <= dr)
            {
                int mid = (st + dr) / 2;
                if(arr[i] <= dp[mid])
                {
                    pos = mid, dr = mid - 1;
                }
                else
                    st = mid + 1;
            }
            dp[pos] = arr[i];
            poz[i] = pos;
        }
    }
    fout << k << '\n';
    int j = n;
    for(int i = k; i >= 1; -- i)
    {
        while(poz[j]!=i)
            j--;
        idx[i] = j;
    }
    for(int i = 1; i <= k; ++ i)
        fout << arr[idx[i]] << ' ';
}

/// READING THE INPUT
int main()
{
    fin >> n;
    for(int i = 1; i <= n; ++ i)
        fin >> arr[i];
    solve();
}