#OK to post homework
#Lucy Martinez, 01-23-22, Assignment 1
restart:read `C1.txt`:
L:=GameDB();

### Problem 2:

matrix(GameDB()[4]);
#Output:
#[[1, 0]  [1, 2]  [0, 1]]
#[[0, 3]  [0, 1]  [2, 0]];

# u_1(up, left)=1     u_2(up, left)=0
# u_1(up, middle)=1   u_2(up, middle)=2
# u_1(up, right)=0    u_2(up, right)=1
# u_1(down, left)=0   u_2(down, left)=3
# u_1(down, middle)=0 u_2(down middle)=1
# u_1(down, right)=2  u_2(down, right)=0;

matrix(GameDB()[5]);
#Output:
#[[0, 4]  [4, 0]  [5, 3]]
#[[4, 0]  [0, 4]  [5, 3]]
#[[3, 5]  [3, 5]  [6, 6]];

# u_1(T,L)=0      u_2(T,L)=4
# u_1(T,C)=4      u_2(T,C)=0
# u_1(T,R)=5      u_2(T,R)=3
# u_1(M,L)=4      u_2(M,L)=0
# u_1(M,C)=0      u_2(M,C)=4
# u_1(M,R)=5      u_2(M,R)=3
# u_1(B,L)=3      u_2(B,L)=5
# u_1(B,C)=3      u_2(B,C)=5
# u_1(B,R)=6      u_2(B,R)=6;

matrix(Rand2PlayerGame(3,3,3));
#Output:
#[[1, 1]  [3, 0]  [0, 2]]
#[[3, 0]  [1, 0]  [1, 2]]
#[[3, 2]  [2, 1]  [0, 2]];

matrix(Rand2PlayerGame(3,3,3));
#Output:
#[[2, 2]  [0, 3]  [2, 2]]
#[[3, 1]  [2, 0]  [0, 2]]
#[[0, 0]  [1, 1]  [1, 2]];

matrix(Rand2PlayerGame(3,3,3));
#Output:
#[[1, 3]  [3, 2]  [1, 0]]
#[[0, 0]  [2, 3]  [3, 0]]
#[[2, 1]  [2, 3]  [0, 1]];