Cod sursa(job #2638634)

Utilizator Tudor_PascaTudor Pasca Tudor_Pasca Data 29 iulie 2020 11:14:16
Problema Subsir crescator maximal Scor 5
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.91 kb
#include <iostream>
#include <fstream>
#include <cstring>

using namespace std;

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

const int INF = 1e9;
int n;
int v[100100], best[100100], small[100100];

int binarySearch(int value)
{
    int l = 1, r = n, mid;

    while(l <= r)
    {
        mid = (l + r) / 2;

        if(small[mid] < value)
            l = mid + 1;
        else
            r = mid - 1;
    }

    return mid;
}

int main()
{
    in >> n;

    for(int i = 1; i <= n; i++)
        in >> v[i];

    for(int i = 0; i <= n; i++)
        small[i] = INF;

    best[1] = 1;
    small[1] = v[1];

    for(int i = 2; i <= n; i++)
    {
        best[i] = binarySearch(v[i]);

        while(small[best[i]] < v[i])
            best[i]++;

        if(small[best[i]] > v[i])
            small[best[i]] = v[i];
    }

    out << best[n] << '\n';

    return 0;
}