CF494A.Treasure

Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string $s$ written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that the goal is to replace each '#' with one or more ')' characters so that the final string becomes beautiful.

Below there was also written that a string is called beautiful if for each $i$ ( $1<=i<=|s|$ ) there are no more ')' characters than '(' characters among the first $i$ characters of $s$ and also the total number of '(' characters is equal to the total number of ')' characters.

Help Malek open the door by telling him for each '#' character how many ')' characters he must replace it with.

Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string $s$ written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that the goal is to replace each '#' with one or more ')' characters so that the final string becomes beautiful.

Below there was also written that a string is called beautiful if for each $i$ ( $1<=i<=|s|$ ) there are no more ')' characters than '(' characters among the first $i$ characters of $s$ and also the total number of '(' characters is equal to the total number of ')' characters.

Help Malek open the door by telling him for each '#' character how many ')' characters he must replace it with.

Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string $s$ written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that the goal is to replace each '#' with one or more ')' characters so that the final string becomes beautiful.

Below there was also written that a string is called beautiful if for each $i$ ( $1<=i<=|s|$ ) there are no more ')' characters than '(' characters among the first $i$ characters of $s$ and also the total number of '(' characters is equal to the total number of ')' characters.

Help Malek open the door by telling him for each '#' character how many ')' characters he must replace it with.

$|s|$ denotes the length of the string $s$ .