Cod sursa(job #2575787)

Utilizator moise_alexandruMoise Alexandru moise_alexandru Data 6 martie 2020 15:26:49
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.01 kb
#include <algorithm>
#include <iostream>
#include <fstream>
#include <vector>
#include <map>
using namespace std;
ifstream in("scmax.in");
ofstream out("scmax.out");
const int maxn = 100005;
int aint[maxn * 4];
map <int, int> mp;
vector <int> sol;
int dp[maxn];
int v[maxn];
int a[maxn];

void update(int nod, int st, int dr, int poz, int val)
{
    if(poz < st || poz > dr)
        return;
    if(st == dr)
    {
        aint[nod] = val;
        return;
    }
    int mij = (st + dr) / 2;
    update(nod * 2, st, mij, poz, val);
    update(nod * 2 + 1, mij + 1, dr, poz, val);
    aint[nod] = max(aint[nod * 2], aint[nod * 2 + 1]);
}

int query(int nod, int st, int dr, int x, int y)
{
    if(y < st || x > dr)
        return 0;
    if(x <= st && dr <= y)
        return aint[nod];
    int mij = (st + dr) / 2;
    int a = query(nod * 2, st, mij, x, y);
    int b = query(nod * 2 + 1, mij + 1, dr, x, y);
    return max(a, b);
}

int main()
{
    int n;
    in >> n;
    for(int i = 1; i <= n; i++)
    {
        in >> v[i];
        a[i] = v[i];
    }
    sort(a + 1, a + n + 1);
    int cnt = 0;
    for(int i = 1; i <= n; i++)
        if(a[i] != a[i - 1])
            mp[a[i]] = ++cnt;
    for(int i = 1; i <= n; i++)
        a[i] = v[i];
    for(int i = 1; i <= n; i++)
        v[i] = mp[v[i]];
    for(int i = 1; i <= n; i++)
    {
        dp[i] = query(1, 1, n, 1, v[i] - 1) + 1;
        update(1, 1, n, v[i], dp[i]);
    }
    int mx = 0;
    int p = 0;
    for(int i = 1; i <= n; i++)
    {
        if(mx < dp[i])
        {
            mx = dp[i];
            p = i;
        }
    }
    out << mx << "\n";
    int need = dp[p];
    int last = (1 << 30);
    for(int i = p; i >= 1; i--)
    {
        if(dp[i] == need && v[i] < last)
        {
            last = v[i];
            need--;
            sol.push_back(a[i]);
        }
    }
    reverse(sol.begin(), sol.end());
    for(auto it : sol)
        out << it << " ";
    out << "\n";

    return 0;
}