Chapter 4 Quiz

All functions should include appropriate type signatures.

1. Define a function f that takes one number as input. If the number is 1 or 100, the answer is 99. If the number is 1000 or 10000, the answer is 6. In any other case, the answer is five times the input.

Mountain Questions

The questions below all refer to a “mountain range”, which is a list of integers specifying the height in feet above sea level.

• Base camp is half of the height of the highest mountain.
• New mountains start/end when altitude goes above/below base camp.
• The mountain range data is guaranteed to begin and end with a number below the height of base camp.

Example:

     mountains = [0, 50, 100, 99, 98, 50, 75, 60, 20, 10, 15, 10, 90, -5]
     highestPeak mountains == 100
     baseCamp mountains == 50
     countPeaks mountains == 3
     tallestWidth mountains == 4

In the example above, the three mountains are:

• [50,100,99,98,50] with width = 4
• [50,75,60,20] with width = 3
• [10,90,-5] with width = 2

2. Find the height of the highest mountain..

3. Write a function to find the height of base camp.

4. Write a function to count the number of peaks.

5. Write a function to estimate the width of the tallest mountain.