8.1 Naka-suji
A 4, 5, or 6 is the wait of two different ryanmen. 5-man is waited on by both a 34-man ryanmen and a 67-man ryanmen.
Toimen has discarded both 2-man and 8-man.
So both ryanmen are in furiten. A tile whose suji on both sides are genbutsu like this is called naka-suji.
For 5-pin, only 2-pin is genbutsu. The 34-pin ryanmen is blocked, but the 67-pin ryanmen remains. A tile whose suji is genbutsu on one side only like this is called kata-suji.
A kata-suji is far more dangerous than a naka-suji. 5-man has both ryanmen blocked, but 5-pin still has the 67-pin ryanmen.
A 4 is naka-suji only when 1 and 7 are both genbutsu. A 5 needs 2 and 8, and a 6 needs 3 and 9.
If only one of 1 and 7 is genbutsu, the 4 is kata-suji. You need to check that both are genbutsu.
Discard one naka-suji tile against toimen.
You picked . It is not a naka-suji.
2-man and 8-man are both genbutsu, so 5-man is naka-suji.
You picked . It is a kata-suji, with genbutsu on one side only.
Discard one naka-suji tile against toimen.
You picked . It is not a naka-suji.
3-man and 9-man are both genbutsu, so 6-man is naka-suji.
You picked . It is a kata-suji, with genbutsu on one side only.
Discard one naka-suji tile against toimen.
You picked . It is not a naka-suji.
1-pin and 7-pin are both genbutsu, so 4-pin is naka-suji.
You picked . It is a kata-suji, with genbutsu on one side only.
Discard one naka-suji tile against toimen.
You picked . It is not a naka-suji.
2-pin and 8-pin are both genbutsu, so 5-pin is naka-suji.
You picked . It is a kata-suji, with genbutsu on one side only.
Discard one naka-suji tile against toimen.
You picked . It is not a naka-suji.
3-sou and 9-sou are both genbutsu, so 6-sou is naka-suji.
You picked . It is a kata-suji, with genbutsu on one side only.