<?php
$v = 2**29;
$i = 0;
while(true){
    $i++;
    if($i>100)exit;
    echo $v,"\n";
    flush();
    $ans = int();
    if($ans==1){
        exit;
    }
    $v/=2;
}

function str(){return trim(fgets(STDIN));}
function ints($n = false){
  if($n===false){
    $str = trim(fgets(STDIN));if($str == '')return [];
    return array_map('intval',explode(' ',$str));
  }else{$ret = [];for($i = 0; $i < $n; $i++)foreach(array_map('intval',explode(' ',trim(fgets(STDIN)))) as $j => $v)$ret[$j][] = $v;return $ret;}
}
function int(){return intval(trim(fgets(STDIN)));}
function chmax(&$a,$b){if($a<$b){$a=$b;return 1;}return 0;}
function chmin(&$a,$b){if($a>$b){$a=$b;return 1;}return 0;}
function isqrt($n):int{$res=intval(sqrt($n))+1;while($res*$res>$n)$res--;return $res;}
function popcount($x){$c=0;while($x){$x&=$x-1;++$c;}return$c;}
function swap(&$a,&$b){$tmp=$a;$a=$b;$b=$tmp;}
function o(...$val){
  if(count($val)==1)$val=array_shift($val);
  echo debug_backtrace()[0]['line'].")";
  if(is_array($val)){
    if(count($val) == 0)echo "empty array\n";
    elseif(!is_array(current($val)))echo "array: ",implode(" ", addIndex($val)),"\n";
    else{
      echo "array:array\n";
      if(isCleanArray($val))foreach($val as $row)echo implode(" ", addIndex($row)),"\n";
      else foreach($val as $i => $row)echo "[".$i."] ".implode(" ", addIndex($row)),"\n";
    }
  }else echo $val."\n";
}