Merge sort has a o(n log2(n)) complexity. if a computer can sort 1,024 elements in an amount of time x, approximately how long will it take the computer to sort 1,024 times that many, or 1,048,576 elements?

Suppose you have 9 coins and one of them is heavier than others. other 8 coins weight equally. you are also given a balance. develop and algorithm to determine the heavy coin using only two measurements with the of the balance. clearly write your algorithm in the form of a pseudocode using the similar notation that we have used in the class to represent sorting algorithms

:you areto design the controller for alight that functions both as an ordinary light and also as a motion activated light and alarm. a.if the manual switch s is on, then the light l is on. b.besides the manual switch, there is a motion detector, m1, which activatesthis light.c.if motion is detected but the light is on anyway because s is on, only then a secondoutput a, an alarm, is turned on. d.the disable switch, d, disables the motion activated light and alarmbut leaves manual control operation of the light using switch s.(i)read the problem statement and clearly identify the inputs and outputs for the circuit you are designing. (ii)create the truth table for this system; include the light, alarm, switch, disable, and the motion sensor.(iii)draw a schematic of this system.

Write and test a python program to find and print the largest number in a set of real (floating point) numbers. the program should first read a single positive integer number from the user, which will be how many numbers to read and search through. after reading in all of the numbers, the largest of the numbers input (not considering the count input) should be printed.