Cod sursa(job #3304641)

Utilizator Gabriel_DaescuDaescu Gabriel Florin Gabriel_Daescu Data 25 iulie 2025 17:02:32
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.26 kb
#include <fstream>
#define NMAX 100002
using namespace std;
ifstream  fin("scmax.in");
ofstream fout("scmax.out");
int n,lmax,p,v[NMAX],best[NMAX],poz[NMAX],sol[NMAX];

void citire()
{
    fin>>n;

    for(int i=1; i<=n; i++)
    {
        fin>>v[i];
    }
}

int cautare_binare(int x)
{
    int ans,st,dr,pmijl;

    ans=0;
    st=1;
    dr=lmax;

    while(st<=dr)
    {
        pmijl=(st+dr)/2;

        if(best[pmijl]>=x)
        {
            ans=pmijl;
            dr=pmijl-1;
        }
        else
        {
            st=pmijl+1;
        }
    }

    return ans;
}

int main()
{
    citire();

    best[1]=v[1];
    poz[1]=1;
    lmax=1;

    for(int i=2; i<=n; i++)
    {
        if(v[i]>best[lmax])
        {
            best[++lmax]=v[i];
            poz[i]=lmax;
        }
        else
        {
            p=cautare_binare(v[i]); /// pozitia celui mai mic element >= ca v[i] in best
            best[p]=v[i];
            poz[i]=p;
        }
    }

    fout<< lmax << "\n";

    for(int j=n,i=lmax; i>0; j--)
    {
        if(poz[j]==i)
        {
            sol[i]=v[j];
            i--;
        }
    }

    for(int i=1; i<=lmax; i++)
    {
        fout<< sol[i] << " ";
    }

    return 0;
}