1. Sorting • Begin by filling an array with random numbers: import numpy as np np.random.seed(1012) DATASIZE = 1000 MAX_VALUE = 10000000 data = np.random.randint(0, MAX_VALUE, size=DATASIZE) • Write a function that is passed a numpy array. The function should walk through the array element-by-element, comparing the current element to the next element. Swap if the next is smaller than the current – sorting these two elements. • Write a second function that calls the above function n times, where n is the number of elements (size) of the array. Pass the same numpy array each time.

Programming language: Processing from Java Question attached as photo Topic: Use of Patial- Full Arrays

What is the big O notation for this function?

Write the function lastOf which searches the array a for the last occurance of any value contained in the array b. Returns the index if found. If not found, return -1. arrays.cpp 1 #include 2 int last0f(const int a[], int alen, const int b[], int bLen) { 3 4 5 6 7 8 }

Prompt: In Python language, write a function that applies the logistic sigmoid function to all elements of a NumPy array. Code:   import numpy as np import math import matplotlib.pyplot as plt import pandas as pd   def sigmoid(inputArray):               modifiedArray = np.zeros(len(inputArray))               #YOUR CODE HERE:               return(modifiedArray) def test(): inputs = np.arange(-100, 100, 0.5) outputs = sigmoid(inputs) plt.figure(1) plt.plot(inputs) plt.title('Input') plt.xlabel('Index') plt.ylabel('Value') plt.show() plt.figure(2) plt.plot(outputs,'Black') plt.title('Output') plt.xlabel('Index') plt.ylabel('Value') plt.show() test()

Write the function lastOf which searches the array a for the last occurance of any value contained in the array b. Returns the index if found. If not found, return -1. arrays.cpp 1 #include 2 3 int lastof(const int a[), int alen, const int b[], int blen) 4 { int res = 0; for (int i = 0; i =0 ; j--) if (b[j] == a[i]) { if(res[1, 9, 4, 5, 1, 5, 1, 12, 8, 11, 2, 11, 7, 8] b1->[7, 5, 9] last0f(al, 14, b1, 3): -1 Expected: 12 al->[1, 9, 4, 5, 1, 5, 1, 12, 8, 11, 2, 11, 7, 8] b2->[7, 7] lastof (al, 14, b2, 2): -1 Expected: 12 a2->[3, 2, 1, 14, 10, 6, 13, 1ө, 11, 13, 14] b2->[7, 7] lastof (a2, 11, b2, 2): -1 Expected: -1 а2->[3, 2, 1, 14, 10, 6, 13, 1ө, 11, 13, 14] b1->[7, 5, 9] last0f (a2, 11, b1, 3): -1 Expected: -1 а2->[3, 2, 1, 14, 10, 6, 13, 10, 11, 13, 14] b3->[11, 2, 1, 15] lastof (a2, 11, b3, 4): -1 Expected: 8 Score 2/5

4. Arrays. In order to test the functions in this question, you will need an array. We can create a three- dimensional test array as follows: testArray xijk - máx rij,k i=1 i=1 i=1 (b) Now suppose we want a function testFn2 which returns the d2 x d3 matrix {zj.k} where di Zj,k = Σ i=1