### Notes on how the midterm was graded:

The midterm states that problem 1 is worth 15 points and problem 2 is
worth 40 points. However, these numbers were determined according to
an earlier version of the test; in the final version, the two problems
were more comparable in terms of length and difficulty. To remedy
this we graded each test in two ways:

Problem 1 out of 15 points, problem 2 out of 40 points,
Problem 1 out of 30 points, problem 2 out of 25 points,

and used whichever produced the higher score.

### Grading statistics:

The median was 69-70. Here is a histogram of scores:
90-99 *
80-89 ***
70-79 **************
60-69 ************
50-59 ****
40-49 ***
30-39 *