You are tasked with implementing a series of functions that perform various operations on dictionaries in Python. These functions will manipulate dictionaries that represent fruit prices and perform different operations as specified.

dictionary$\_$operations$($fruit$\_$prices: dict, fruits: list$)$

Perform a series of operations on the given fruit$\_$prices dictionary based on the fruits list:

Add fruits$[0]$ with a cost of $3.$

Modify the cost of fruits$[1]$ to $2.$

Increase the cost of fruits$[2]$ by $2.$

Delete fruits$[3]$ from fruit$\_$prices.

Print the price of fruits$[4].$

Print the names of fruits in fruit$\_$prices as a sorted list.

Print the prices of fruits in fruit$\_$prices as a sorted list.

increase$\_$prices$($fruit$\_$prices: dict$)->$ None

Increase the prices of every fruit by $20\%$ and round to two decimal places. Modify the dictionary in place.

dict$\_$from$\_$string$($string: str$,$ key$\_$type, value$\_$type$)$

Convert a string with comma$-$separated key$-$value pairs into a dictionary, converting the keys and values to the specified types.

dict$\_$to$\_$string$($D: dict$)->$ str

Convert a dictionary back into a string with each key$-$value pair on a new line, using comprehensions.

Template code:

def dictionary$\_$operations$($fruit$\_$prices:dict, fruits:list$)$:

# add the fruit fruits$[0]$ to fruit$\_$prices with cost $3$

$...$

order$\_$print$($fruit$\_$prices$)$ # this function is in the hidden code

# modify the cost of fruits$[1]$ as $2$ in fruit$\_$prices

$...$

order$\_$print$($fruit$\_$prices$)$

# increase the cost of fruits$[2]$ by $2$ in fruit$\_$prices

$...$

order$\_$print$($fruit$\_$prices$)$

# delete both key and value for fruits$[3]$ from fruit$\_$prices

$...$

order$\_$print$($fruit$\_$prices$)$

# print the price of fruits$[4]$

$...$

# print the names of fruits in fruit prices as a list sorted in ascending order

$...$

# print the prices of the fruits as a list sorted in ascending order.

$...$

def increase$\_$prices$($fruit$\_$prices:dict$)->$ None:

$\text{'}\text{'}\text{'}$

Increase the prices of every fruit by $20$ percent and round to two decimal places

Arguments:

fruit$\_$prices: dict $-$ fruit name as key and price as value

Return:

None $-$ Do not return any thing $-$ modify inplace

$\text{'}\text{'}\text{'}$

$...$

def dict$\_$from$\_$string$($string:str$,$key$\_$type,value$\_$type$)$:

$\text{'}\text{'}\text{'}$

Given a string where each line has a comma seperated key$-$value pair, create a dictionary out of it$.$ Also convert the types of key and values to the given types.

Arguments:

string $-$ str: string to be parsed

key$\_$type $-$ class: the data type of the keys

value$\_$type $-$ class: the data type of the values

Return:

D $-$ dict: the output dictionary

$\text{'}\text{'}\text{'}$

$...$

def dict$\_$to$\_$string$($D:dict$)->$ str:

$\text{'}\text{'}\text{'}$

Convert the given dictionary back to the string fromat produced by $`$dict$\_$from$\_$string$`.$ Again, do not use loops or conditionals, use comprehensions.

$\text{'}\text{'}\text{'}$

$...$