Write a function function createTable (f, n), which supplies a table for a Boolean formula ff with nn inputs, which contains the output of the formula for each input. In the program code, the function f accepts an array of Boolean values of length n as a parameter. For example, the Boolean formula a \ lor ((\ neg b) \ land c) a ((b) c) is used as a TScript function

function f (x)

{

return x [0] or ((not x [1]) and x [2]);

}

expressed.

The truth table should be returned as a nested n-dimensional array. Each individual array has two indices, where index 0 stands for false and index 1 for true. The corresponding value of the formula is stored in the innermost array. In the above example, the following three-dimensional array with a total of 8 values is expected as return (line breaks and comments only to clarify the logic):

[

[

[false, # false or ((not false) and false) = false

true], # false or ((not false) and true) = true

[false, # false or ((not true) and false) = false

false] # false or ((not true) and true) = false

],

[

[true, # true or ((not false) and false) = true

true], # true or ((not false) and true) = true

[true, # true or ((not true) and false) = true

true] # true or ((not true) and true) = true

]

]

For any values a, b, c \ in \ {0, 1 \} a, b, c {0,1} it should have the property that the call of the formula

f ([a == 1, b == 1, c == 1])

gives the same result as

createTable (f, 3) [a] [b] [c]

Hints:

You can use the last property to check the correctness of your solution.

Your solution should work for any n> 0n> 0, not just for n = 3n = 3 variables.

A recursive approach may be used to build the nested arrays.

Notice that the input to function f is an array of Boolean values, not an array of values 0 and 1. Accordingly, your function should contain the values true and false in the returned array, as is the case in the example.

Write a function function createTable (t, n), which returns a table for a Boolean formula f with n inputs, which for each zu joue Input contains the output of the formula in the program code, the function takes an array of Boolean values of the lengths os a parameter opposite. For example, the Boolean formula becomes a V (1-b) c) as a TScript function in function f(x) return x[) or (not x[1]) and X[2]); [21); expressed The truth table should be returned as a nested n-dimensional array Each individual array has two indexes, with index O being for bei Index ofur false and index 1 stands for true. The corresponding value of the formula is stated in the innermost atray. The above okumpis become the following lof wird das folgendo three-dimensional array with a total of 8 values expected as return (line breaks and comments only to clarify the logic ichung der Logik) [false, true); [false, false) #false or ((not false) and false) = false.co #false or ((not false) and true) = true #false or ((not true) and false) = falsele #false or ((not true) and true) = false alte [true, true), (true, true) #true or ((not false) and false) = trueue #true or ((not false) and true) = true true #true or ((not true) and false) = true e) = true # true or ((not true) and true) = truere) = true For any values a, b, c {0,1) it should have the property that the call of the formula Formel For any values a, b, c (0,1) it should have the property that the call of the formula Formul f((a == 1, b == 1, C == 1)) gives the same result aslo createTable(1, 3)[0][b][clic Hintsise . You can use the last property to check the correctness of your solution. Your solution should work for any no, not just for n-3 variables. Variablen, A recursive approach may be used to build the nested arrays. Note that the input to function is an array of Boolean values, not an array of values and 1. Accordingly, your und false im zurckgegebenen Array enthalten, so wie es im Beispiel der Fall ist itsprechend soil ihre