<?php
try{
$result = "";
fscanf(STDIN
, "%d %d", $a, $b);
$now = true; // 현재 차례 패티의 차례 (false일 시 치즈의 차례)
$count = 0;
while(true){
if($now){
if(!$a) break;
$a--; $count++;
}else{
if(!$b) break;
$b--; $count++;
}
$now = !$now;
}
if($count % 2){
$count--;
}
$result = $count;
echo $result;
}catch(Exception $e){
echo $e->getMessage();
}
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