Cod sursa(job #2988092)

Utilizator VladPislaruPislaru Vlad Rares VladPislaru Data 3 martie 2023 16:21:42
Problema Subsir crescator maximal Scor 35
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.82 kb
#include <bits/stdc++.h>

using namespace std;

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

const int MaxN = 100005;

int a[MaxN], c[MaxN], dp[MaxN], aint[MaxN], n;
pair <int, int> b[MaxN];


/**

(1, 8) => (1, 4) => (1, 2) => (1, 1)
                           => (2, 2)
                    (3, 4) => (3, 3)
                           =>

          (5, 8) => (5 6)
                    (7 8)


*/

void Update (int nod, int st, int dr, int poz, int val) {
    if (st == dr) {
        aint[nod] = val;
        return;
    }
    int mid = (st + dr) / 2;
    if (poz <= mid)
        Update(2 * nod, st, mid, poz, val);
    else Update(2 * nod + 1, mid + 1, dr, poz, val);
    aint[nod] = max(aint[2 * nod], aint[2 * nod + 1]);
}

int Query (int nod, int st, int dr, int x, int y) {
    ///cout << nod << " " << st << " " << dr << " " << x << " " << y << "\n";
    if (x == st && y == dr)
        return aint[nod];
    int mid = (st + dr) / 2;
    if (y <= mid)
        return Query(2 * nod, st, mid, x, y);
    if (x > mid)
        return Query(2 * nod + 1, mid + 1, dr, x, y);
    return max(Query(2 * nod, st, mid, x, mid), Query(2 * nod + 1, mid + 1, dr, mid + 1, y));
}

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;
    for (int i = 1; i <= n; i++) {
        dp[i] = 1;

        if (a[i] > 1) {
            dp[i] = max(1, 1 + Query(1, 1, n, 1, a[i] - 1));
        }

        Update(1, 1, n, a[i], dp[i]);
        ans = max(ans, dp[i]);
    }
    fout << ans << "\n";
    return 0;
}