Game 3:
hidden 3_3_4_1
0_0_4_4 1_0
0_1_2_2 0_2
1_0_1_3 0_2
2_3_4_1 1_2
1_1_0_0 2_2
0_1_0_2 0_1
3_3_0_0 2_0
0_1_0_2 0_1
0_2_4_5 0_3
3_4_5_0 1_1
correct answer prob: 0.364606
map prob: 0.364606
map code: 1 3_3_4_1
