If you haven't checked out the
puzzles posted by
jdyer (Ghogg), don't click here! I am just posting the answers for Jota (a friend of
Grunk's) for posterity.
For number one:
HHHHTTTT
HHHTHTTT
HHHTTHTT
HHHHHTTT
For numbers two and three:
HHHHHHHH
HHHHTTTH
HHHTHTTH
HHHTHHHT
TTTTHHHT
TTTTTTTT
In the words of Jota, "Ta-da"