Cod sursa(job #2683397)

Utilizator lucamLuca Mazilescu lucam Data 11 decembrie 2020 10:09:20
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.73 kb
#include <fstream>

std::ifstream in("scmax.in");
std::ofstream out("scmax.out");

constexpr int N = 100000;
int v[N], l[N], vmin[N];

void print_subseq(int idx) {
  if (idx < 0)
    return;
  int ipred = idx - 1;
  while (ipred >= 0 && l[ipred] != l[idx] - 1)
    --ipred;
  print_subseq(ipred);
  out << v[idx] << ' ';
}

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

  l[0] = 1;
  int maxlen = 1;
  vmin[0] = v[0];
  for (int i = 1; i < n; ++i) {
    int j = std::lower_bound(vmin, vmin + maxlen, v[i]) - vmin;
    if (j == maxlen)
      ++maxlen;
    l[i] = j + 1;
    vmin[j] = v[i];
  }

  out << maxlen << '\n';
  int imaxlen = n - 1;

  while (l[imaxlen] != maxlen)
    --imaxlen;
  print_subseq(imaxlen);
}