All 26 of the letters of the English alphabet: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z) are inserted into a min-heap in an unknown order, with letters earlier in the alphabet considered smaller values (i.e. having a higher priority). The heap is a three-heap and each location in the heap can be referred to using a number labeled below. Part 1: Using the node numbers in the picture above, give the number(s) of the nodes where the letter F could possibly be found. In your answer, order possible node numbers in increasing numeric order and separate them with commas (eg. "1, 2, 3"). Enter your answer here Part 2: Give a possible insertion order of letters such that F would be in the 4th possible node position you gave in your answer to Part 1. So that we can grade for partial credit, also state which node position is the 4th possible node in your solution to part 1. To clarify, if your answer to Part 1 is {2, 3, 5, 6, 7, 9}, you would provide an insertion order of letters such that F would be found in node 6 in the diagram above. All 26 letters of the alphabet should be included in your answer. Enter your answer here