Question

One of the shops in Hackermall is offering discount coupons based on a puzzling problem. There are n tags where each tag has a value denoted by val[i]. A customer needs to choose the tags in such a way that the sum of values is even.

Find the maximum sum of values for odd tags

Answer 1

The maximum sum of values for odd tags such that the overall sum is even, you can follow these steps: Calculate the total sum of all tags. If the total sum is already even, then the maximum sum of values for odd tags is the total sum. If the total sum is odd, find the smallest odd-valued tag and subtract its value from the total sum. The resulting sum will be even, and it will be the maximum sum of values for odd tags.

The maximum sum of values for odd tags such that the overall sum is even, you can follow these steps:

1. Calculate the total sum of all tags.
2. If the total sum is already even, then the maximum sum of values for odd tags is the total sum.
3. If the total sum is odd, find the smallest odd-valued tag and subtract its value from the total sum. The resulting sum will be even, and it will be the maximum sum of values for odd tags.

Here's a Python function that implements this logic:

def max_sum_of_odd_tags(val):

result = max_sum_of_odd_tags(tags_values)

print(result)

In this example, the max_sum_of_odd_tags function takes a list of tag values (val) as input and returns the maximum sum of values for odd tags. The example usage with the tags_values list demonstrates how to use the function.

Answer 2

To find the maximum sum of values for odd tags, select all the odd-valued tags. If the total sum of all tags is odd, subtract the minimum even-valued tag from the total sum.

Step-by-step explanation:

To find the maximum sum of values for odd tags, we need to understand the properties of even and odd numbers. An even number is divisible by 2 with no remainder, while an odd number leaves a remainder of 1 when divided by 2. To maximize the sum of odd tags, we should select all the odd-valued tags.

We can achieve this by iterating through the tags and summing up only the odd-valued tags. If the total sum of all tags is already even, then the maximum sum of odd tags would be the same as the total sum of all tags. If the total sum of all tags is odd, then we need to subtract the minimum even-valued tag from the total sum to get the maximum sum of odd tags. For example, let's say we have tags with the values [6, 7, 8, 9, 10]. The total sum is 40, which is even. Therefore, the maximum sum of odd tags would be 40.