Cod sursa(job #2988059)

Utilizator VladPislaruPislaru Vlad Rares VladPislaru Data 3 martie 2023 15:35:25
Problema Subsir crescator maximal Scor 95
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.52 kb
#include <bits/stdc++.h>

using namespace std;

/**


 dp[i] = max(dp[j] + 1, dp[i]), j < i, a[j] < i



 aib[] =
 Query(a[i] - 1);
 Update(a[i], dp[i]);

*/

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

int n;
int a[100005], c[100005];

pair <int ,int> b[100005];

pair <int, int> aib[100005];
int dp[100005];
int last[100005];


void Update(int poz, int val) {
    for (int i = a[poz]; i <= n; i += (i & -i))
        if (aib[i].first <= val) {
            aib[i] = {val, poz};
        }
}

int Query (int poz) {
    int val = 0, poz_max = 0;
    for (int i = poz; i > 0; i -= (i & -i))
        if (val < aib[i].first) {
            val = aib[i].first;
            poz_max = aib[i].second;
        }

    return poz_max;
}

void Afis(int x) {
    if (x != 0) {
        Afis(last[x]);
        fout << c[x] << " ";
    }

}

int main()
{
    fin >> n;
    for (int i = 1; i <= n; i++)
        fin >> a[i], b[i] = {a[i], i}, c[i] = a[i];
    sort(b + 1, b + n + 1);
    int val = 1;
    a[b[1].second] = 1;
    for (int i = 2; i <= n; i++) {
        if (b[i].first != b[i - 1].first)
            val++;
        a[b[i].second] = val;
    }
    int ans = 1, poz_max = 0;
    for (int i = 1; i <= n; i++) {
        last[i] = Query(a[i] - 1);
        dp[i] = max(dp[i], dp[last[i]] + 1);
        Update(i, dp[i]);
        if (ans < dp[i]) {
            ans = dp[i];
            poz_max = i;
        }
    }
    fout << ans << "\n";
    Afis(poz_max);
    return 0;
}