Suppose you are asked to implement an update method in the heap class to change (increase or decrease) the priority value of the item at a given heap array index. By the end of the algorithm the heap order invariant is maintained. Briefly describe the algorithm (no code!) you would use. What would be its worst-case big O running time?

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What is the biggest difference between section breaks and regular page breaks? section breaks are more difficult to add than page breaks. section breaks make it easier for you to view the document as an outline. section breaks allow you to have areas of the document with different formatting. section breaks are smaller than regular page breaks.

Write a program that performs a simple n-body simulation, called "jumping leprechauns." this simulation involves n leprechauns, numberd 1 to n. it maintains a gold value g_i for each leprechaun i, which begins with each leprechaun starting out with a million dollars worth of gold, that is, g_i = 1000000 for each i = 1,. in addition, the simulation also maintains, for each leprachaun,i, a place on the horizon, which is represented as a double-precision floating point number, x_i. in each iteration of the simulation, the simulation processes the leprachauns in order. processing a leprachaun i during its iteration begins by computing a new place on the horizon for i, which is determined by the assignment: