Problem Description Bittu is a chocolate-loving kid playing a game where he can choose bags of chocolates. Each bag has a different number of chocolates. Bittu starts with k chocolates and 1 point. He has two choices for each bag:
Accept the Bag: If the chocolates in the bag are fewer than or equal to the chocolates Bittu has, he won't accept the bag. Instead, he'll deduct the bag's chocolates from his stash and gain one point. If the chocolates in the bag are more than what Bittu has, he can accept the bag. His chocolate stash increases by the bag's chocolates, and he loses one point. Ignore the Bag: Bittu can choose to ignore any number of bags without any consequences. The goal is to maximize Bittu's points. Given an array "chocolates" with the number of chocolates in each bag, and the initial number of chocolates Bittu has, determine the maximum points he can achieve by selecting bags wisely.
In simpler terms, he wants to acquire the maximum number of points while following the above mentioned rules.
Constraints n=length of the array
1 <= n <= 1000
0 <= chocolates[i] <= 10^5
Input First line consisting of the number of chocolates in n bags separated by space.
Second line consists of an integer depicting the number of chocolates that Bittu has, initially.
Output Print the maximum points that Bittu can acquire.
Time Limit (secs) 1
Examples Example 1
Input
11 9 17 15
12
Output
2
Explanation
Initial points=1, chocolates=12
Bittu chooses chocolates[1], points=2, chocolates=3.
Chooses chocolates[2], points=1, chocolates=20.
Chooses chocolates[0], points=2, chocolates=9.
Chooses chocolates[3], points=1, chocolates=24.
So the maximum possible points is 2.
Example 2
Input
30 70 100 45 90 65
50
Output
3
Explanation
Initial points=1,chocolates=50
Bittu chooses chocolates[0], points=2, chocolates=20.
Chooses chocolates[2], points=1, chocolates=120.
Chooses chocolates[3], points=2, chocolates=80.
Chooses chocolates[5], points=3, chocolates=15.
Chooses chocolates[4], points=2, chocolates=105.
Chooses chocolates[1], points=3, chocolates=35.
So the maximum possible points is 3. Write a python code
You can use the following Python code to solve the problem:
def calculate_max_points(chocolates, initial_chocolates): points = 1 for bag in chocolates: if bag > initial_chocolates: initial_chocolates += bag points -= 1 else: initial_chocolates -= bag points += 1 if points < 1: points = 1 return max(points, 1) # Example usage chocolates = [30, 70, 100, 45, 90, 65] initial_chocolates = 50 max_points = calculate_max_points(chocolates, initial_chocolates) print(max_points)
This code defines a function calculate_max_points that takes a list of integers representing the number of chocolates in each bag and the initial number of chocolates Bittu has. It then calculates the maximum points Bittu can achieve by selecting bags wisely according to the given rules.
You can customize the chocolates and initial_chocolates variables according to your input and then use the calculate_max_points function to obtain the maximum possible points.