title: Different potential function for the same problem has the same amortized or not?
body: <p>If I set the potential function as 2 multiple the size of the heap.</p>
  <p>The operation for the insert and delete operation might be both <code>O(logn)</code>.</p>
  <p>I check that the definition of the potential function that my potential function is correct.</p>
  <p>But the answer for the problem that the insertion took <code>O(logn)</code> and the extract-min took <code>O(1)</code>.</p>
  <p>So, it's there any problem that has different potential functions result in different amortized time complexity ?</p>
  <p>I think that maybe I set the wrong potential function.</p>
  <p>Because I think the amortized method result the same amortized time complexity, right ?</p>
  <p><a href="https://i.stack.imgur.com/9MI8j.png" rel="nofollow noreferrer">The problem</a></p>