problem0():
  How many words are in the list?
  Does the list contain "osier"?
  What is the 100th word in the list?

  The file five_letters.txt contains  5757  words.
  Is "osier" in the file: True
  Word 100 = "round" or "horse"

problem1():
  Which words contain "rat"?

rates
ratio
wrath
rated
crate
grate
carat
irate
brats
karat
ratty
frats
prate
raths
sprat
grata
orate
rater
prats

problem2():
  Compute A*x for magic matrix.

  rowsums: [65, 65, 65, 65, 65]

problem2():
  Compute A*x for magic matrix.

  diagonal sum: 65
  antidiagonal sum: 65

problem4():
  Find palindromes.

parts
lived
speed
sleep
level
refer
straw
faced
spots
fires
stops
lever
smart
devil
ports
radar
pools
stool
draws
mined
spins
alley
loops
strap
sleek
madam
rotor
civic
repel
spool
snaps
depot
timed
sexes
debut
laced
snips
sloop
solos
denim
spans
warts
stink
regal
knits
revel
leper
sagas
tuber
kayak
peels
keels
remit
loots
decal
timer
deeps
pacer
trams
serif
yella
rebut
sward
minim
lager
tenet
snoot
recap
namer
toons
decaf
shahs
hales
tarps
stats
strop
toped
sprat
stets
tubed
kaiak
finif
reman
selah
demit
dewed

problem5():
  Estimate pi using the Monte Carlo method

  Number of samples n =  100
  Estimate for pi is  3.4
  Exact value is      3.141592653589793
  Error is            0.2584073464102068

problem6():
  Convert DNA string to codon list.
  The DNA string: AGTCTTATATCT
['AGT', 'CTT', 'ATA', 'TCT']
['GTC', 'TTA', 'TAT']
['TCT', 'TAT', 'ATC']

problem7():
  Find anagrams of a five letter word

  Looking for anagrams of "parts"

parts
traps
strap
tarps
sprat
prats

problem8():
  Given 3-dimensional vectors v1 and v2.
  compute v1 dot v2 (a number) and v1 cross v2 (a vector).
  Use lists to represent vectors.

  dot product =  32
  cross product =  [4, 5, -1]

problem9():
  p[i] = product of all but i-th entry of a.

  a: [1, 2, 3]
  p: [6, 3, 2]