# Python: Cartesian product of two or more given lists using itertools

## Python Itertools: Exercise-12 with Solution

Write a Python program to compute the Cartesian product of two or more given lists using itertools.

In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B. In terms of set-builder notation, that is

A table can be created by taking the Cartesian product of a set of rows and a set of columns. If the Cartesian product rows × columns is taken, the cells of the table contain ordered pairs of the form (row value, column

**Sample Solution:**

**Python Code:**

```
import itertools
def cartesian_product(lists):
return list(itertools.product(*lists))
ls = [[1,2],[3,4]]
print("Original Lists:",ls)
print("Cartesian product of the said lists: ",cartesian_product(ls))
ls = [[1,2,3],[3,4,5]]
print("\nOriginal Lists:",ls)
print("Cartesian product of the said lists: ",cartesian_product(ls))
ls = [[],[1,2,3]]
print("\nOriginal Lists:",ls)
print("Cartesian product of the said lists: ",cartesian_product(ls))
ls = [[1,2],[]]
print("\nOriginal Lists:",ls)
print("Cartesian product of the said lists: ",cartesian_product(ls))
```

Sample Output:

Original Lists: [[1, 2], [3, 4]] Cartesian product of the said lists: [(1, 3), (1, 4), (2, 3), (2, 4)] Original Lists: [[1, 2, 3], [3, 4, 5]] Cartesian product of the said lists: [(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 3), (3, 4), (3, 5)] Original Lists: [[], [1, 2, 3]] Cartesian product of the said lists: [] Original Lists: [[1, 2], []] Cartesian product of the said lists: []

**Python Code Editor:**

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**Previous:** Write a Python program to generate combinations of a given length of given iterable.

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## Python: Tips of the Day

**Inverts a dictionary with non-unique hashable values:**

Example:

def tips_collect_dictionary(obj): inv_obj = {} for key, value in obj.items(): inv_obj.setdefault(value, list()).append(key) return inv_obj ages = { "Owen": 25, "Jhon": 25, "Pepe": 15, } print(tips_collect_dictionary(ages))

Output:

{25: ['Owen', 'Jhon'], 15: ['Pepe']}

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