Cod sursa(job #3004821)

Utilizator matei.tudoseMatei Tudose matei.tudose Data 16 martie 2023 17:14:43
Problema Subsir crescator maximal Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.2 kb
#include <fstream>
#include <algorithm>
using namespace std;

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

int n, dp[100005], before[100005], numbers[100005];
// dp[x] = indicele numarului din vectorul initial (numbers) in care se termina subsirul crescator de lungime x

int main()
{
    fin >> n;
    for (int i = 1; i <= n; i++)
        fin >> numbers[i];
    int ans = 0, ansIndex = 0;
    for (int i = 1; i <= n; i++)
    {
        int left = 1, right = ans, mid;
        while (left <= right)
        {
            mid = (left + right) / 2;
            if (numbers[dp[mid]] < numbers[i])
                left = mid + 1;
            else
                right = mid - 1;
        }
        before[i] = dp[left - 1];
        dp[left] = i;
        // Daca am marit lungimea subsirului maxim de pana acum (adica acum avem subsir de lungime ans + 1)
        if (left > ans)
        {
            ans = left;
            ansIndex = i;
        }
    }
    fout << ans << "\n";
    int ansStack[100005], top = 0;
    while (ansIndex)
    {
        ansStack[++top] = numbers[ansIndex];
        ansIndex = before[ansIndex];
    }
    while (top)
        fout << ansStack[top--] << " ";
    fout << "\n";
    return 0;
}