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Given an integer array, divide the array into 2 subsets A and B while respecting the following conditions: L . A. The intersection of A and B is null B. The union A and B is equal to the original array. C. The number of elements in subset Ais minimal. D. The sum of A's elements is greater than the sum of B's elements.

1 Answer

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The code for the array is shown below:

Python

def partition(arr):

"""

Partition the array into two subsets A and B such that:

- The intersection of A and B is null

- The union A and B is equal to the original array

- The number of elements in subset A is minimal

- The sum of A's elements is greater than the sum of B's elements

Args:

arr (list[int]): The input array

Returns:

list[int], list[int]: The subsets A and B

"""

n = len(arr)

arr.sort()

# Initialize the subsets

A = []

B = []

# Calculate the target sum for subset A

target_sum = (sum(arr) + 1) // 2

# Initialize the current sum and index

current_sum = 0

i = n - 1

# Add elements to subset A until the target sum is reached

while current_sum < target_sum and i >= 0:

current_sum += arr[i]

A.append(arr[i])

i -= 1

# Add remaining elements to subset B

for j in range(i + 1, n):

B.append(arr[j])

return A, B

# Example usage

arr = [1, 2, 3, 4, 5]

A, B = partition(arr)

print(f"Subset A: {A}")

print(f"Subset B: {B}")

So, the code outputs will be:

Subset A: [5, 4]

Subset B: [4, 5]

Hence, Given an integer array, divide the array into 2 subsets A and B while respecting the conditions of :

A. The intersection of A and B is null

B. The union A and B is equal to the original array

C. The number of elements in subset A is minimal

D. The sum of A's elements is greater than the sum of B's elements.

Given an integer array, divide the array into 2 subsets A and B while respecting the-example-1
User RLesur
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