title: Max and Min heap with the same elements
body: <p>Consider the following example. I am adding random numbers to min heap and at the same time I am adding the same numbers in the same order to the max heap. So at the end those 2 heaps will have the same numbers with difference one being min heap and the second one being max heap. </p>
  
  <p>Now here's the question:</p>
  
  <p>If I decide to remove the maximal element from max heap, will that maximal element from max heap always at the bottom of min heap? If not, then another question is that if i want to remove that max element from min heap with swapping him with the last element of min heap, deleting the last element , would I need to ever run operation which would have to compare that switched element with his child in order to repair min heap? Or will it always be the case to compare it with parent in order to fix min heap? </p>