Devil Dice (also called Xi) is a beautiful action-puzzle game for the PlayStation. As well as the normal 1 player, 2 player co-operative, and 2-5 player competitive modes, there is a lovely puzzle mode.

There are 100 puzzle levels constructed by the programmers of the game, which require you to clear set fields of dice within a set number of moves. Although most of these require exactly the number of moves allocated, there are some which can be solved in less moves, which presents an added challenge.

But in my opinion, the best part is the random puzzle mode which has 1000 levels, each a 4x4 field with 6 dice and 20 moves. It's not really random though – the levels are always the same. I suppose the random bit might be because the levels are generated procedurally by a pseudorandom number generator. Anyway, I think it's a fantastic idea to be able to generate so many challenges that don't require the programmers to manually create each one. I think that they're better than the normal puzzle levels too, because they weren't designed with a particular solution in mind, and there are so many possible combinations that you can't really be sure that there isn't a better solution. Uncertainty and no prospect of 100% completion, like real life – much better than those silly achievements in modern games. Isn't life more interesting because it's not all nice and orderly? Even in maths, there are some things we can't ever know – read about the work of Kurt Gödel.

For each of the 100 normal puzzle levels, 1 star is awarded for solving it with 1 or more moves remaining.

For each of the 1000 random puzzle levels, 1 star is awarded for solving it by matching 6 sixes, and 2 stars if you also have 5 or more moves remaining.

So how many stars can you get? My total so far is:

123456789X ★
0 ---------- 0
1 --○○----○- 3
2 --○--○---- 2
3 ---○---○○- 3
4 ---○-○○○○○ 6
5 -○--○--○○- 4
6 --○------- 1
7 ○--○○----○ 4
8 ○○--○○○--- 5
9 --------○- 1

A abcdefghij ★
a ○●●●○●●●●● 18
b ●●●●●●●●●● 20
c ●●○○●●●○○○ 15
d ●●●●●○●●○○ 17
e ●●●●●●●●●○ 19
f ○●○●●●○●○○ 15
g ●○●●●○●●●○ 17
h ○●●○●○○●●● 16
i ●●●●●●●●●● 20
j ○○●○●●●●●● 17

B abcdefghij ★
a ●●●●○●○○●● 17
b ●●○●●●○●○● 17
c ○●○●●●○○●○ 15
d ●●○●●○●○○● 16
e ●●○●○●○○●● 16
f ●○●○●○●○●● 16
g ●●○●●●●○●● 18
h ●●○●●●○●●● 18
i ●●○○●●●●●- 16
j ●○○●●●●○●● 17

C abcdefghij ★
a ●●○●○●●○○● 16
b ●●●○●●●●●○ 18
c ○●○●●●○●○● 16
d ●○○●●●○○○● 15
e ●●●●●○●●○● 18
f ●●●●●●●●○● 19
g ○○●○○○○○●○ 12
h ●●○●●●●○○● 17
i ●●●●○●●●●● 19
j ○○●●●○○○●○ 14

D abcdefghij ★
a ○○●●●○●○●- 14
b ●●○●●○●●●- 16
c ●○○○●●●●○● 16
d ●●○○○○○●●● 15
e ○●●●●●●○●○ 17
f ○○●●○●○●●● 16
g ●○●●●●●●●● 19
h ○○●●●●●●●● 18
i ○●○●○●●●○● 16
j ●●●●●○●●●● 19

E abcdefghij ★
a ○●●●○○●●●● 17
b ○●●●●●●○○● 17
c ●●○●●●●●●● 19
d ●●●○●●○●○- 15
e ○●○●●●●●●● 18
f ○●●●●●●●●○ 18
g ●●●●●●●●●○ 19
h ●●●●●○●○●○ 17
i ○●●●●●●○○○ 16
j ●●●●●●●○○● 18

F abcdefghij ★
a ○○●●●●●○●○ 16
b ●●○○●●●●●● 18
c ●●○●●●○●○● 17
d ○●○●●○○○●● 15
e ○●○○●●○●●● 16
f ●○●●○○○●●● 16
g ●●○○●●●●●● 18
h ●●○●●●●○●○ 17
i ○●●●●○●●○● 17
j ●●○●○○●●○● 16

G abcdefghij ★
a ●●○●●○○●○○ 15
b ●●●○●●●●●● 19
c ●●●●○●●●●● 19
d ●●○●●○●●●○ 17
e ●●●●○○●●●○ 17
f ●○●●○○○○○● 14
g ○○○●●●●●○● 16
h ●●●●●●●●●● 20
i ●●●○○●●○●● 17
j ○●○●●○○●●○ 15

H abcdefghij ★
a ●●●●●●●●○● 19
b ●●●●●●●●●● 20
c ●●●●●●●●●- 18
d ●●●●○○●●●○ 17
e ●●●●●●○●●● 19
f ○●●●●●●●●○ 18
g ●○●○○○●●●● 16
h ●●●●●●●●●○ 19
i ●○●●●●●●●● 19
j ●●●●○●●●●○ 18

I abcdefghij ★
a ○●●●○●●●●● 18
b ●●●●○●○●○● 17
c ●●●○○●○●●● 17
d ●●●●●○●●●○ 18
e ●●●●●○●○○- 15
f ●●○●○○●●●- 15
g ●○●●○○○●●● 16
h ●●○○●●●●●● 18
i ○●○○●○○●●● 15
j ●○○●○●●●●● 17

J abcdefghij ★
a ●●●●●●●●●○ 19
b ○●●●●●●●○● 18
c ●○○●●●●●●○ 17
d ●○●●●●●○●● 18
e ●○○●●●○●●● 17
f ●○●●●●●●○● 18
g ○●●●●○●○●○ 16
h ●○●○●●●●○● 17
i ●●●●●●○●●● 19
j ●●●●●●●●●● 20

○ = ★
● = ★★

Some people have kept a record of their solutions.