From the following code, explain how it works and calculate the time complexity   def bound_knapsack(i, current_weight, current_value, bound):    if i == n:        return current_value    if current_weight + weights[i] <= capacity:        # Include item i        with_i = bound_knapsack(i + 1, current_weight + weights[i], current_value + values[i], bound)    else:        with_i = float("-inf")  # Cannot include item i      # Exclude item i    without_i = bound_knapsack(i + 1, current_weight, current_value, bound)      # Update bound (relaxatiole n)    bound = max(bound, with_i, without_i)    return bound   # Example usage: n = 4 weights = [10, 20, 30, 40] values = [60, 100, 120, 240] capacity = 50 print("Branch and Bound:", bound_knapsack(0, 0, 0, float("-inf")))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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From the following code, explain how it works and calculate the time complexity

 

def bound_knapsack(i, current_weight, current_value, bound):

   if i == n:

       return current_value

   if current_weight + weights[i] <= capacity:

       # Include item i

       with_i = bound_knapsack(i + 1, current_weight + weights[i], current_value + values[i], bound)

   else:

       with_i = float("-inf")  # Cannot include item i

 

   # Exclude item i

   without_i = bound_knapsack(i + 1, current_weight, current_value, bound)

 

   # Update bound (relaxatiole n)

   bound = max(bound, with_i, without_i)

   return bound

 

# Example usage:

n = 4

weights = [10, 20, 30, 40]

values = [60, 100, 120, 240]

capacity = 50

print("Branch and Bound:", bound_knapsack(0, 0, 0, float("-inf")))

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