# Python Exercises: Sum of missing numbers of a list of integers

## Python List: Exercise - 278 with Solution

Write a Python program to sum the missing numbers in a given list of integers.

**Sample Data:**

([0, 3, 4, 7, 9]) -> 22

([44, 45, 48]) -> 93

([-7, -5, -4, 0]) -> -12

**Sample Solution-1:**

**Python Code:**

```
# Define a function named 'test' that takes a list 'nums' as input.
def test(nums):
# Find the maximum and minimum numbers in the input list 'nums'.
max_num = max(nums)
min_num = min(nums)
# Calculate the sum of missing numbers within the range [min_num, max_num] using the formula:
# Sum = (max + min) * (max - min + 1) // 2 - sum(nums)
return (max_num + min_num) * (max_num - min_num + 1) // 2 - sum(nums)
# Define the original list 'nums'.
nums = [0, 3, 4, 7, 9]
print("Original list:")
print(nums)
# Call the 'test' function to calculate the sum of missing numbers in the list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
# Define another list 'nums'.
nums = [44, 45, 48]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
# Define another list 'nums'.
nums = [-7, -5, -4, 0]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
```

Sample Output:

Original list: [0, 3, 4, 7, 9] Sum of missing numbers of the said list of integers: 22 Original list: [44, 45, 48] Sum of missing numbers of the said list of integers: 93 Original list: [-7, -5, -4, 0] Sum of missing numbers of the said list of integers: -12

**Flowchart:**

**Sample Solution-2:**

**Python Code:**

```
# Define a function named 'test' that takes a list 'nums' as input.
def test(nums):
# Find the maximum and minimum numbers in the input list 'nums'.
max_num = max(nums)
min_num = min(nums)
# Calculate the sum of missing numbers within the range [min_num, max_num] using the formula:
# Sum = sum(range(min_num, max_num + 1)) - sum(nums)
return sum(range(min_num, max_num + 1)) - sum(nums)
# Define the original list 'nums'.
nums = [0, 3, 4, 7, 9]
print("Original list:")
print(nums)
# Call the 'test' function to calculate the sum of missing numbers in the list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
# Define another list 'nums'.
nums = [44, 45, 48]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
# Define another list 'nums'.
nums = [-7, -5, -4, 0]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list of integers.
print("Sum of missing numbers of the said list of integers:", test(nums))
```

Sample Output:

Original list: [0, 3, 4, 7, 9] Sum of missing numbers of the said list of integers: 22 Original list: [44, 45, 48] Sum of missing numbers of the said list of integers: 93 Original list: [-7, -5, -4, 0] Sum of missing numbers of the said list of integers: -12

**Flowchart:**

**Python Code Editor:**

**Previous Python Exercise:** Largest, lowest gap between sorted values of a list.

**Next Python Exercise:** Check if each number is prime in a list of numbers.

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