# Python Exercises: Largest, lowest gap between sorted values of a list

## Python List: Exercise - 277 with Solution

Write a Python program to calculate the largest and smallest gap between sorted elements of a list of integers.

**Sample Data:**

{1, 2 ,9, 0, 4, 6} -> 3

{23, -2, 45, 38, 12, 4, 6} -> 15

**Sample Solution-1:**

**Python Code:**

```
# Define a function named 'test' that takes a list 'nums' as input.
def test(nums):
# Sort the elements in the input list 'nums' in ascending order.
nums.sort()
# Calculate the largest gap between consecutive sorted values and store it in 'max_gap'.
max_gap = max(b - a for a, b in zip(nums, nums[1:]))
# Calculate the smallest gap between consecutive sorted values and store it in 'min_gap'.
min_gap = min(b - a for a, b in zip(nums, nums[1:]))
# Return a tuple containing both the 'max_gap' and 'min_gap'.
return max_gap, min_gap
# Define the original list 'nums'.
nums = [0, 9, 2, 4, 5, 6]
print("Original list:")
print(nums)
# Call the 'test' function to find the largest and smallest gap between sorted values in the list.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [23, -2, 45, 38, 12, 4, 6]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [1, 2, 3]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [-4, -3, 5, 20, 10, 1]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the fourth list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
```

Sample Output:

Original list: [0, 9, 2, 4, 5, 6] Largest, lowest gap between sorted values of the said list: (3, 1) Original list: [23, -2, 45, 38, 12, 4, 6] Largest, lowest gap between sorted values of the said list: (15, 2) Original list: [1, 2, 3] Largest, lowest gap between sorted values of the said list: (1, 1) Original list: [-4, -3, 5, 20, 10, 1] Largest, lowest gap between sorted values of the said list: (10, 1)

**Flowchart:**

**Sample Solution-2:**

**Python Code:**

```
# Define a function named 'test' that takes a list 'nums' as input.
def test(nums):
# Sort the elements in the input list 'nums' in ascending order.
nums.sort()
# Create a list comprehension to calculate the differences between consecutive sorted values.
# Find the maximum difference in the sorted values and store it in 'max_gap'.
max_gap = max([sorted(nums)[i] - sorted(nums)[i-1] for i in range(1, len(nums))])
# Find the minimum difference in the sorted values and store it in 'min_gap'.
min_gap = min([sorted(nums)[i] - sorted(nums)[i-1] for i in range(1, len(nums))])
# Return a tuple containing both the 'max_gap' and 'min_gap'.
return max_gap, min_gap
# Define the original list 'nums'.
nums = [0, 9, 2, 4, 5, 6]
print("Original list:")
print(nums)
# Call the 'test' function to find the largest and smallest gap between sorted values in the list.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [23, -2, 45, 38, 12, 4, 6]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [1, 2, 3]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
# Define another list 'nums'.
nums = [-4, -3, 5, 20, 10, 1]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the fourth list of numbers.
print("Largest, lowest gap between sorted values of the said list:", test(nums))
```

Sample Output:

Original list: [0, 9, 2, 4, 5, 6] Largest, lowest gap between sorted values of the said list: (3, 1) Original list: [23, -2, 45, 38, 12, 4, 6] Largest, lowest gap between sorted values of the said list: (15, 2) Original list: [1, 2, 3] Largest, lowest gap between sorted values of the said list: (1, 1) Original list: [-4, -3, 5, 20, 10, 1] Largest, lowest gap between sorted values of the said list: (10, 1)

**Flowchart:**

**Python Code Editor:**

**Previous Python Exercise:** Find the largest odd number in a list of integers.

**Next Python Exercise:** Sum of missing numbers of a list of integers.

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