8..................1.2.3......................3..................2
9..................1.2.3.4.5.6.7..............7..................6
10..................2.3.4.5.6.7.8.9............8..................8


PROBLEM 3. Alternate left and right ends

Doors No. of No. of
Settings open doors open right door
1..................5.6........................2..................5
2..................5.6........................2..................6
3..................4.5.6.7.8.9................6..................4
4..................4.5.6.7.8.9................6..................9
5..................1.2.3.4.5..................5..................1
6..................1.2.3.4.5..................5..................5
7..................2.3.4.5.6.7................6..................2
8..................2.3.4.5.6.7................6..................7
9..................3.4.5.6.7.8................6..................3
10..................3.4.5.6.7.8................6..................8


PROBLEM 4. Middle

Doors No. of No. of
Settings open doors open right door
1..................4.5.6.7.8..................5..................6
2..................1.2.3......................3..................2
3..................1.2.3.4.5.6.7.8.9..........9..................5
4..................2.3.4.5.6..................5..................4
5..................6.7.8......................3..................7