The document outlines operations to be performed on a Fibonacci heap, starting from an empty heap. It specifies the insertion of elements x1 to x5, followed by an extract-min operation and a decrease-key operation on x3, before another extract-min operation. The task is to construct the final state of the Fibonacci heap after these operations.

1. (a) (2 pts) Construct the final Fibonacci heap after the following operations are performed on an
initially empty Fibonacci heap H. The key value at insertion of xi is i, for each i. Insert(H,x1),Insert(
H,x2),Insert(H,x3),Insert(H,x4),Insert(H,x5),Extract- min(H),Decrease-xey(H,x3,), Extract-min (H).