Define a function cycle that takes in three functions f1, f2, f3, as arguments. cycle will return another function thatshould take in an integer argument n and return another function. That final function should take in an argument x and cyclethrough applying f1, f2, and f3 to x, depending on what n was. Here's the what the final function should do to x for afew values of n:• n = 0, return xn = : 1, apply f1 to x, or return f1(x)●n = 2, apply f1 to x and then f2 to the result of that, or return f2(f1(x))n = 3, apply f1 to x, f2 to the result of applying f1, and then f3 to the result of applying f2, orf3 (f2(f1(x)))•n = 4, start the cycle again applying f1, then f2, then f3, then f1 again, or f1(f3 (f2(f1(x)))). And so forth.Hint: most of the work goes inside the most nested function.Hint 2: given n, how many function calls are made on x ?Hint 3: for help with how to cycle through the functions (i.e., how to go back to applying f1 as your outermost function callwhen n = 4), consider looking at this python tutor demo which has similar cycling behaviour.def cycle(f1, f2, f3):""" Returns a function that is itself a higher order function>>> def add1(x):return x + 1>>> def times2(x):return x * 2☐☐☐III>>> def add3(x):return x + 3>>> my_cycle>>> identity>>> identity (5)54==cycle (add1, times2, add3)my_cycle (0)>>>add_one_then_double = my_cycle (2)>>>add_one_then_double (1)>>>do_all_functions =>>>do_all_functions (2)my_cycle (3)

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Define a function cycle that takes in three functions f1, f2, f3, as arguments. cycle will return another function that should take in an integer argument n and return another function. That final function should take in an argument x and cycle through applying f1, f2, and f3 to x, depending on what n was. Here's the what the final function should do to x for a few values of n: ● ● ● ● n = 0, return x n = 1, apply f1 to x, or return f1(x) n = 2, apply f1 to x and then f2 to the result of that, or return f2(f1(x)) n = 3, apply f1 to x, f2 to the result of applying f1, and then f3 to the result of applying f2, or f3 (f2(f1(x))) ● n = 4, start the cycle again applying f1, then f2, then f3, then f1 again, or f1(f3(f2(f1(x)))) . And so forth.

Define a function cycle that takes in three functions f1, f2, f3, as arguments. cycle will return another function that should take in an integer argument n and return another function. That final function should take in an argument x and cycle through applying f1, f2, and f3 to x, depending on what n was. Here's the what the final function should do to x for a few values of n: ● ● ● ● n = 0, return x n = 1, apply f1 to x, or return f1(x) n = 2, apply f1 to x and then f2 to the result of that, or return f2(f1(x)) n = 3, apply f1 to x, f2 to the result of applying f1, and then f3 to the result of applying f2, or f3 (f2(f1(x))) ● n = 4, start the cycle again applying f1, then f2, then f3, then f1 again, or f1(f3(f2(f1(x)))) . And so forth.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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