Cod sursa(job #3259112)

Utilizator edi482Eduard Vintu edi482 Data 25 noiembrie 2024 10:56:17
Problema Subsir crescator maximal Scor 85
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.07 kb
#include <bits/stdc++.h>

using namespace std;
ifstream fin("scmax.in");
ofstream fout("scmax.out");
int a[100002], dp[100002], n, k , poz[100002] , sol[100002] , m;

/// cauta cea mai din stanga pozitie p cu x < dp[p]
int CautBin(int x)
{
    if (x < dp[1]) return 1;
    int st, dr, mij, p;
    st = 1; dr = p = k;
    while (st <= dr)
    {
        mij = (st + dr) / 2;
        if (x < dp[mij])
        {
            p = mij;
            dr = mij - 1;
        }
        else st = mij + 1;
    }
    return p;
}

int main()
{
    int i, j;
    fin>>n;
    for(i=1;i<=n;i++)
        fin>>a[i];
    dp[1] = a[1]; k = 1;
    for (i = 2; i <= n; i++)
        if (dp[k] <= a[i]) {dp[++k] = a[i]; poz[i] = k;}
        else
        {
            j = CautBin(a[i]);
            dp[j] = a[i];
            poz[i] = j;
        }
    fout << k << "\n";
    m = k;
    for(i = n; i >= 1; i--)
        if(poz[i] == m)
        {
            sol[m] = a[i];
            m--;
        }
    for(i = 1; i <= k; i++)
        fout << sol[i] << " ";
    return 0;
}