Chapter 6

Write for loops that iterate over the clements of a list without the use of the range function for the following tasks. a. Printing all elements of a list in a single row, separated by spaces. b. Computing the product of all elements in a list. c. Counting how many elements in a list are negative.

Compute the altemating sum of all elements in a list. For example, if your program reads the input then it computes $$\begin{array}{ccccccccc}1& 4& 9& 16& 9& 7& 4& 9& 11\\ 1-4& +9& -16& +9& -7+4& -9& +11=-2\end{array}$$

Write a function that reverses the sequence of elements in a list. For example, if you call the function with the list $\begin{array}{lllllllll}1& 4& 9& 16& 9& 7& 4& 9& 11\end{array}$ then the list is changed to $\begin{array}{lllllllll}11& 9& 4& 7& 9& 16& 9& 4& 1\end{array}$

What is an index of a list? What are the legal index values? What is a bounds error?

Write a function def equals $(a,b)$ that checks whether two lists have the same elements in the same order.

Write a loop that reads ten numbers and a second loop that displays them in the opposite order from which they were entered.

For the operations on lists below, provide the header and function comment for a function. Do not implement the functions. a. Sort the elements in decreasing order. b. Print all clements, separated by a given string. c. Count how many elements are less than a given value. d. Remove all clements that are less than a given value. e. Place all elements that are less than a given value in another list.

Write a function def saneset $(a,b)$ that checks whether two lists have the same elements in some order, ignoring duplicates. For example, the two lists and $\begin{array}{lllllll}11& 11& 7& 9& 16& 4& 1\end{array}$ would be considered identical. You will probably need one or more helper functions.

Write a function def saneflenents $(a,b)$ that checks whether two lists have the same clements in some order, with the same multiplicities. For example, $$\begin{array}{lllllllll}1& 4& 9& 16& 9& 7& 4& 9& 11\end{array}$$ and $\begin{array}{lllllllll}11& 1& 4& 9& 16& 9& 7& 4& 9\end{array}$ would be considered identical, but $$\begin{array}{lllllllll}1& 4& 9& 16& 9& 7& 4& 9& 11\end{array}$$ and $\begin{array}{lllllllll}11& 11& 7& 9& 16& 4& 1& 4& 9\end{array}$

Write a program that generates a sequence of 20 random die tosses in a list and that prints the die values, marking only the longest run, like this: $1255312.43(2222)3655631$ If there is more than one run of maximum length, mark the first one.