(0,0) is the vortex for this problem
Wait what’s the value of x?
Answer:
diameter = 2 * radius = 2 * 14 = 28 cm
Answer:
Step-by-step explanation:
Known facts
- Marisol burned 670 calories
- Ling burned x fewer calories than Marisol
Setting up the equation
# of calories that Ling burned = Marisol's calorie - x = 670 -x
Hope that helps!
Answer:
Step-by-step explanation:
Heap Property: The associated priority satisfy the heap property. The (max) heap property requires for every node that the priority at a node is greater than the priority of its two children.
THEOREM: For any set S of key-value pairs, there is exactly one treap T containing the key-value
pairs in S which satisfies the treap properties.
Proof: The key k with the highest priority in S must be the root node, since otherwise the tree would not be in heap order. Then, to satisfy the property that the treap is ordered with respect to the nodes’ keys, all keys in S less than k must be in the left subtree, and all keys greater than k must be in the right subtree. Inductively, the two subtrees of k must be constructed in the same manner.
Now, if you are given a set of elements with keys and priorities, how would you build a treap
out of them? Take the element with the largest priority, make that the root. Then partition around
that root based on keys to find the elements in the right and left subtrees and recurse. What does
this remind you of?
This procedure is exactly the procedure you do for quicksort. There is a straightforward relationship between the analysis of quicksort and the height of a treap
