Python Exercises: Divide a list of integers with the same sum value

Last update on April 19 2025 12:57:36 (UTC/GMT +8 hours)

Find Divisor with Equal Sums

Write a Python program to find an element that divides a given list of integers with the same sum value.

Sample Solution-1:

Python Code:

# Define a function named 'test' that takes a list of integers 'nums' as input.
def test(nums):
    # Iterate through the elements of 'nums' using 'enumerate'.
    for i, x in enumerate(nums[1:-1]):
        # Check if the sum of elements on the left of 'x' (before the current index)
        # is equal to the sum of elements on the right of 'x' (after the next index).
        if sum(nums[:i+1]) == sum(nums[i+2:]):
            # If the condition is met, return the element 'x'.
            return nums[i+1]
    # If no such element is found, return a message indicating that there's no such element.
    return "No such element!"

# Define a list of integers 'nums'.
nums = [0, 9, 2, 4, 5, 6]
print("Original list:")
print(nums)
# Call the 'test' function to find an element that divides the list with the same sum value on both sides.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define another list of integers 'nums'.
nums = [-4, 0, 6, 1, 0, 2]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define one more list of integers 'nums'.
nums = [1, 2, 3, 4]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define an additional list of integers 'nums'.
nums = [-4, 0, 5, 1, 0, 1]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the last list.
print("Element that divides the list with the same sum value:\n", test(nums))

Sample Output:

Original list:
[0, 9, 2, 4, 5, 6]
Element that devides the said list of integers with the same sum value:
 4

Original list:
[-4, 0, 6, 1, 0, 2]
Element that devides the said list of integers with the same sum value:
 1

Original list:
[1, 2, 3, 4]
Element that devides the said list of integers with the same sum value:
 No such element!

Original list:
[-4, 0, 5, 1, 0, 1]
Element that devides the said list of integers with the same sum value:
 1

Flowchart:

Sample Solution-2:

Python Code:

# Define a function named 'test' that takes a list of integers 'nums' as input.
def test(nums):
    # Iterate through the indices of 'nums'.
    for i in range(len(nums)):
        # Check if the sum of elements from the beginning of 'nums' up to index 'i'
        # is equal to the sum of elements from index 'i' to the end of 'nums'.
        if sum(nums[0:i+1]) == sum(nums[i:]):
            # If the condition is met, return the element at index 'i'.
            return nums[i]
    # If no such element is found, return a message indicating that there's no such element.
    return "No such element!"

# Define a list of integers 'nums'.
nums = [0, 9, 2, 4, 5, 6]
print("Original list:")
print(nums)
# Call the 'test' function to find an element that divides the list with the same sum value on both sides.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define another list of integers 'nums'.
nums = [-4, 0, 6, 1, 0, 2]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the second list.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define one more list of integers 'nums'.
nums = [1, 2, 3, 4]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the third list.
print("Element that divides the list with the same sum value:\n", test(nums))

# Define an additional list of integers 'nums'.
nums = [-4, 0, 5, 1, 0, 1]
print("\nOriginal list:")
print(nums)
# Call the 'test' function for the last list.
print("Element that divides the list with the same sum value:\n", test(nums))

Sample Output:

Original list:
[0, 9, 2, 4, 5, 6]
Element that devides the said list of integers with the same sum value:
 4

Original list:
[-4, 0, 6, 1, 0, 2]
Element that devides the said list of integers with the same sum value:
 1

Original list:
[1, 2, 3, 4]
Element that devides the said list of integers with the same sum value:
 No such element!

Original list:
[-4, 0, 5, 1, 0, 1]
Element that devides the said list of integers with the same sum value:
 1

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to find a pivot index in a list where the sum of elements on the left equals the sum on the right.
Write a Python program to identify all pivot indices in a list with equal left and right sums.
Write a Python program to check if a list can be partitioned into two parts with equal sums.
Write a Python program to find the element which, when removed, results in equal sums on both sides of the list.

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