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Find the minimum and maximum amount to buy all N candies in Python
Suppose there is a candy store where N different types of candies are available and the prices of all N different types of candies are given. The store also provides an attractive offer. According to this offer, we can buy a single candy from the store and get maximum of K different types of other candies for free. We have to find the minimum amount of money we have to spend to buy all the N different types of candies. We also have to find maximum amount of money we have to spend to buy all the N different types candies. From the both cases we must utilize the offer and obtain maximum possible candies back. If there are k or more candies available, we must select k candies for every candy purchase. But, if less than k candies are available, we must select all candies for a candy purchase.
So, if the input is like price = [4, 3, 2, 5] and k = 2, then the output will be Minimum = 5 and Maximum = 9. This is because when k is 2, if we buy one candy and we can take maximum two more for free. In the first case we can buy the candy which costs 2 and take candies worth price 4 and 5 for free, also we can buy candy worth 3 as well, so minimum cost = 2 + 3 = 5. On the other hand, in second case we buy the candy which costs 5 and take candies worth price 2 and 3 for free, or we can also buy candy worth 4 as well. so, max cost = 4 + 5 = 9.
To solve this, we will follow these steps −
Define a function get_min() . This will take A,k
n := size of A
sort the list A
res := 0, i:= 0
while n is non-zero, do
res := res + A[i]
n := n-k
i := i + 1
return res
Define a function get_max() . This will take A, k
n := size of A
sort the list A
res := 0, idx := 0
i:= n-1
while i>=idx, do
res := res + A[i]
idx := idx + k
i := i - 1
return res
From the main method call these two functions to get the results
get_min(A, k)
get_max(A, k)
Example
Let us see the following implementation to get better understanding −
def get_min(A,k): n = len(A) A.sort() res = 0 i=0 while(n): res += A[i] n = n-k i += 1 return res def get_max(A, k): n = len(A) A.sort() res = 0 idx = 0 i=n-1 while(i>=idx): res += A[i] idx += k i -= 1 return res A = [4, 3, 2, 5] k = 2 print(get_min(A, k),get_max(A, k))
Input
[4, 3, 2, 5], 2
Output
5 9
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