Instructions: You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
Input: Question: Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative

Option A: I only

Option B: II only

Option C: III only

Option D: I and III

Option E: I, II and III
Output:
Option D