#
Homework 4

*Due at 11:59:59 pm on Thursday, 9/28/2023.*

## Instructions

Download hw04.zip. Inside the archive, you will find starter files for the questions in this homework, along with a copy of the OK autograder.

**Readings:** This homework relies on following references:

## Lambdas

### Question 1: Operation-inator

Dr. Doofenshmirtz is making a secret evil device that creates functions that do basic arithmetic operations using lambda functions. The operation-inator takes in an `operation_string`

and returns a function that does that specific operation. The strings map to the functions like so:

- "self" -> function that returns the input
- "add one" -> function that adds one to the input
- "multiply together" -> Takes in two inputs and returns them multiplied
- "zero to self" -> takes in a positive integer and returns a list that counts up by ones from zero (inclusive) to the input (exclusive)

Help the good doctor implement his operation-inator by filling in the blanks with lambda functions.

See the doctests for more details.

```
def operation_inator(operation_string):
"""
>>> identity = operation_inator('self')
>>> identity(5)
5
>>> identity(6)
6
>>> add_one = operation_inator('add one')
>>> add_one(2)
3
>>> add_one(3)
4
>>> mul_together = operation_inator('multiply together')
>>> mul_together(0, 1)
0
>>> mul_together(3, 2)
6
>>> zero_to_self = operation_inator('zero to self')
>>> zero_to_self(3)
[0, 1, 2]
>>> zero_to_self(1)
[0]
"""
"*** YOUR CODE HERE ***"
```

Use OK to test your code:

`python3 ok -q operation_inator`

### Question 2: Higher Order Lambdas

Return a lambda function that takes in a multiplier (the multiplier is a number) and returns a lambda function that will take in another number and will return the new input multiplied by the multiplier.

```
def higher_order_lambdas():
"""
Return a lambda function that takes in a multiplier and returns a lambda function that given an input will
return the input multiplied by the multiplier
>>> hol = higher_order_lambdas()
>>> doubles = hol(2)
>>> doubles(3)
6
>>> hol = higher_order_lambdas()
>>> triples = hol(3)
>>> triples(4)
12
"""
"*** YOUR CODE HERE ***"
```

Use OK to test your code:

`python3 ok -q higher_order_lambdas`

### Question 3: Lambdas and Currying

We can transform multiple-argument functions into a chain of single-argument, higher order functions by taking advantage of lambda expressions. This is useful when dealing with functions that take only single-argument functions. We will see some examples of these later on.

Write a function `lambda_curry2`

that will curry any two argument
function `f2`

using lambdas. See the doctest if you're not sure what this
means.

```
def lambda_curry2(f2):
"""
Returns a Curried version of a two argument function func.
>>> from operator import add
>>> x = lambda_curry2(add)
>>> y = x(3)
>>> y(5)
8
"""
"*** YOUR CODE HERE ***"
```

Use OK to test your code:

`python3 ok -q lambda_curry2`

## Dictionaries

### Question 4: Replace All

Given a dictionary `d`

, return a new dictionary where all occurences of `x`

as a value (not a key) is replaced with `y`

.

```
def replace_all(d, x, y):
"""
>>> d = {'foo': 2, 'bar': 3, 'garply': 3, 'xyzzy': 99}
>>> e = replace_all(d, 3, 'poof')
>>> e == {'foo': 2, 'bar': 'poof', 'garply': 'poof', 'xyzzy': 99}
True
"""
"*** YOUR CODE HERE ***"
```

Use OK to test your code:

`python3 ok -q replace_all`

### Question 5: Merge Dictionaries

Implement the function `merge_dict`

. The `merge_dict`

function merges two dictionaries with the same keys together
by adding up their values for the corresponding keys and returning the resulting dictionary.

```
def merge_dict(dict1, dict2):
"""Returns a dictionary that is the result of two dictionaries being merged together.
Dictionaries are merged by adding up their values. You can assume that the same keys
appear in both dictionaries.
>>> data8 = {"midterms":1, "projects":3}
>>> data100 = {"midterms":2, "projects":3}
>>> combined_exams = merge_dict(data8, data100)
>>> combined_exams
{'midterms': 3, 'projects': 6}
>>> sunday_orders = {"pizza": 3, "hot dogs": 2, "fries": 5}
>>> monday_orders = {"pizza": 1, "hot dogs": 1, "fries": 8}
>>> combined_orders = merge_dict(sunday_orders, monday_orders)
>>> combined_orders
{'pizza': 4, 'hot dogs': 3, 'fries': 13}
"""
"*** YOUR CODE HERE ***"
```

Use OK to test your code:

`python3 ok -q merge_dict`

## Submission

When you are done, submit your file to Gradescope. You only need to upload the following files:

`hw04.py`