Cod sursa(job #3262012)

Utilizator BledeaAlexBledea Alexandru BledeaAlex Data 8 decembrie 2024 12:41:53
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.53 kb
#include <bits/stdc++.h>

using namespace std;

const int N_MAX = 1e5 + 1;
int N;
int v[N_MAX];
vector<int> dp;
int t[N_MAX];

void SetInput(string name)
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    (void)!freopen((name + ".in").c_str(), "r", stdin);
    (void)!freopen((name + ".out").c_str(), "w", stdout);
}

void ReadArray()
{
    cin >> N;

    for(int i = 0; i < N; i++)
        cin >> v[i];
}

int LowestGreaterPos(int& x) /// find the first position in dp with it's value in v greater or equal to x
{
    int L = 0, R = (int)dp.size() - 1, m;
    int ans = -1;

    while(L <= R)
    {
        m = (L + R) / 2;

        if(v[dp[m]] >= x)
        {
            ans = m;
            R = m - 1;
        }
        else
            L = m + 1;
    }

    return ans;
}

void DisplayPath(int i)
{
    if(t[i] != -1)
        DisplayPath(t[i]);
    cout << v[i] << ' ';
}

void Solve()
{
    dp.push_back(0);
    t[0] = -1;

    for(int i = 1, pos; i < N; i++)
    {
        if(v[i] > v[dp.back()])
        {
            pos = dp.size();
            dp.push_back(i);
        }
        else
        {
            pos = LowestGreaterPos(v[i]);
            dp[LowestGreaterPos(v[i])] = i;
        }

        if(pos >= 1)
            t[i] = dp[pos - 1];
        else
            t[i] = -1;
    }

    cout << dp.size() << '\n';
    DisplayPath(dp.back());
    cout << '\n';
}

int main()
{
    SetInput("scmax");

    ReadArray();
    Solve();

    return 0;
}