Cod sursa(job #3244984)

Utilizator TeddyDinutaDinuta Eduard Stefan TeddyDinuta Data 26 septembrie 2024 22:15:18
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.08 kb
#include <bits/stdc++.h>

using namespace std;
ifstream in("scmax.in");
ofstream out("scmax.out");
int n;

int getPos(int x, vector<int> &dp, vector<int> &a, int lmax) {
    int l = 1, r = lmax;
    int ans = 0;
    while (l <= r) {
        int m = (l + r) / 2;
        if (a[dp[m]] < x) {
            ans = max(ans, m);
            l = m + 1;
        } else {
            r = m - 1;
        }
    }

    return ans;
}

void print_lcs(int pos, vector<int> &prev, vector<int> &a) {
    if (pos == -1) {
        return;
    }

    print_lcs(prev[pos], prev, a);
    out << a[pos] << " ";
}

int main() {
    in >> n;
    vector<int> a(n);

    for (int i = 0; i < n; i++) {
        in >> a[i];
    }

    vector<int> dp(n + 1, -1);
    vector<int> prev(n, -1);
    int lmax = 1;
    int pmax = 0;
    dp[1] = 0;

    for (int i = 1; i < n; i++) {
        int pos = getPos(a[i], dp, a, lmax);
        prev[i] = dp[pos];
        dp[pos + 1] = i;

        if (pos + 1 > lmax) {
            lmax = pos + 1;
            pmax = i;
        }
    }

    out << lmax << '\n';
    print_lcs(pmax, prev, a);
    return 0;
}