These questions are from Data Structures. Please answer each part of the question in details as to why each of the answer correct and why the other options are wrong. Please provide details. For sufficient answer quality, I'd give a thumbs up and otherwise if the answer is short and not understood. Please explain as if you are explain the concept to a kid. Please answer all parts of the questions shown

Insert the following numbers into an empty min-heap in order: 3,5,8,2,9,12,7. Which indices will 5,8,9,12 and 7 be in the array (the array starts from index 0)? 5 will be at index , 8 will be at index , 9 will be at index 12 will be at index and 7 will be at index