import std.stdio;
import std.range;
import std.array;
import std.string;
import std.conv;
import std.typecons;
import std.algorithm;
import std.container;

void main()
{
  auto val = readln.chomp.split.map!(to!int);
  int q = val.front;
  int k = val.back;
  alias TreeOne = RedBlackTree!(ulong, "a < b", true);
  TreeOne tree = new TreeOne();
  foreach (i; 0..q) {
    auto wal = readln.chomp.split.map!(to!ulong);
    if (wal.front == 1) {
      auto trg = wal.back;
      tree.insert(trg);
    } else {
      auto l = tree.length;
      if (l < k) {
        writeln = -1;
        continue;
      }
      ulong left = tree.front;
      ulong right = tree.back + 1;
      while (right - left > 1) {
        ulong mid = (left + right) / 2;
        auto res = tree.lowerBound(mid + 1);
        auto r = res.walkLength;
        if (r > k) {
          right = mid;
        } else {
          left = mid;
        }
      }
      auto res = tree.lowerBound(left + 1);
      if (res.walkLength < k) {
        auto trg = tree.upperBound(left).front;
        writeln =  trg;
        tree.removeKey = trg;
      } else {
        auto trg = res.back;
        writeln = trg;
        tree.removeKey = trg;
      }
    }
  }
}