State:
Thought:
Value:
None
State:
1 + 1 = 2 (left: 1 2 8)
Thought:
1 + 1 = 2 (left: 1 2 8)
Value:
21.001
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
Thought:
1 + 2 = 3 (left: 3 8)
Value:
60.0
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
3 + 8 = 11 (left: 11)
Thought:
3 + 8 = 11 (left: 11)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
3 + 8 = 11 (left: 11)
There is no possible operation as there is only one number.
Thought:
There is no possible operation as there is only one number.
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
8 - 3 = 5 (left: 5)
Thought:
8 - 3 = 5 (left: 5)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Thought:
3 * 8 = 24 (left: 24)
Value:
60.0
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: ((1 + 1) + 1) * 8 = 24
Thought:
Answer: ((1 + 1) + 1) * 8 = 24
Value:
60.0
State:
1 + 1 = 2 (left: 1 2 8)
1 + 2 = 3 (left: 3 8)
8 / 3 = 2.67 (left: 2.67)
Thought:
8 / 3 = 2.67 (left: 2.67)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
Thought:
2 * 1 = 2 (left: 2 8)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
2 + 8 = 10 (left: 10)
Thought:
2 + 8 = 10 (left: 10)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
2 * 8 = 16 (left: 16)
Thought:
2 * 8 = 16 (left: 16)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
Thought:
8 - 2 = 6 (left: 6)
Value:
20.002
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
8 + 6 = 14 (left: 8 14 14)
Thought:
8 + 6 = 14 (left: 8 14 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
8 - 6 = 2 (left: 2 8 14)
Thought:
8 - 6 = 2 (left: 2 8 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
14 - 6 = 8 (left: 8 8 8)
Thought:
14 - 6 = 8 (left: 8 8 8)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
14 + 6 = 20 (left: 8 8 20)
Thought:
14 + 6 = 20 (left: 8 8 20)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
2 * 6 = 12 (left: 8 12 14)
Thought:
2 * 6 = 12 (left: 8 12 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
14 / 6 = ~2.33 (left: ~2.33 8 8) (not a valid step, as we are only considering integer solutions)
Thought:
14 / 6 = ~2.33 (left: ~2.33 8 8) (not a valid step, as we are only considering integer solutions)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
8 / 6 = ~1.33 (left: ~1.33 8 14) (not a valid step, as we are only considering integer solutions)
Thought:
8 / 6 = ~1.33 (left: ~1.33 8 14) (not a valid step, as we are only considering integer solutions)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 - 2 = 6 (left: 6)
6 * 8 = 48 (left: 8 14 48)
Thought:
6 * 8 = 48 (left: 8 14 48)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
2 * 1 = 2 (left: 2 8)
8 / 2 = 4 (left: 4)
Thought:
8 / 2 = 4 (left: 4)
Value:
0.001
State:
1 + 1 = 2 (left: 1 2 8)
8 - 1 = 7 (left: 2 7)
Thought:
8 - 1 = 7 (left: 2 7)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 1 = 7 (left: 2 7)
2 + 7 = 9 (left: 9)
Thought:
2 + 7 = 9 (left: 9)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 1 = 7 (left: 2 7)
7 - 2 = 5 (left: 5)
Thought:
7 - 2 = 5 (left: 5)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 1 = 7 (left: 2 7)
2 * 7 = 14 (left: 14)
Thought:
2 * 7 = 14 (left: 14)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 1 = 7 (left: 2 7)
7 / 2 = 3.5 (left: 3.5)
Thought:
7 / 2 = 3.5 (left: 3.5)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
Thought:
8 - 2 = 6 (left: 1 6)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
1 + 6 = 7 (left: 7)
Thought:
1 + 6 = 7 (left: 7)
Value:
0.001
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 - 1 = 5 (left: 5)
Thought:
6 - 1 = 5 (left: 5)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
1 * 6 = 6 (left: 6)
Thought:
1 * 6 = 6 (left: 6)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
Thought:
6 / 1 = 6 (left: 6)
Value:
40.001
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
6 + 10 = 16 (left: 8 14 16)
Thought:
6 + 10 = 16 (left: 8 14 16)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
6 + 4 = 10 (left: 8 10 14)
Thought:
6 + 4 = 10 (left: 8 10 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
16 - 6 = 10 (left: 8 10 14)
Thought:
16 - 6 = 10 (left: 8 10 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
16 / 6 = 2.67 (left: 2.67 8 14)
Thought:
16 / 6 = 2.67 (left: 2.67 8 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
6 - 2 = 4 (left: 4 8 14)
Thought:
6 - 2 = 4 (left: 4 8 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
6 / 2 = 3 (left: 3 8 14)
Thought:
6 / 2 = 3 (left: 3 8 14)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
7 + 6 = 13 (left: 8 8 13)
Thought:
7 + 6 = 13 (left: 8 8 13)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 - 2 = 6 (left: 1 6)
6 / 1 = 6 (left: 6)
12 - 6 = 6 (left: 6 8 8)
Thought:
12 - 6 = 6 (left: 6 8 8)
Value:
0
State:
1 + 1 = 2 (left: 1 2 8)
8 / 1 = 8 (left: 2 8)
Thought:
8 / 1 = 8 (left: 2 8)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
2 * 8 = 16 (left: 1 16)
Thought:
2 * 8 = 16 (left: 1 16)
Value:
0.003
State:
1 + 1 = 2 (left: 1 2 8)
8 / 2 = 4 (left: 1 4)
Thought:
8 / 2 = 4 (left: 1 4)
Value:
0.003
State:
1 * 1 = 1 (left: 1 1 8)
Thought:
1 * 1 = 1 (left: 1 1 8)
Value:
0.003
State:
1 * 1 = 1 (left: 1 1 8)
1 + 1 = 2 (left: 2 8)
Thought:
1 + 1 = 2 (left: 2 8)
Value:
0.003
State:
1 * 1 = 1 (left: 1 1 8)
1 * 1 = 1 (left: 1 8)
Thought:
1 * 1 = 1 (left: 1 8)
Value:
0.003
State:
1 * 1 = 1 (left: 1 1 8)
8 - 1 = 7 (left: 1 7)
Thought:
8 - 1 = 7 (left: 1 7)
Value:
0.003
State:
1 * 1 = 1 (left: 1 1 8)
8 / 1 = 8 (left: 1 8)
Thought:
8 / 1 = 8 (left: 1 8)
Value:
0.003
State:
8 - 1 = 7 (left: 1 1 7)
Thought:
8 - 1 = 7 (left: 1 1 7)
Value:
0.003
State:
8 - 1 = 7 (left: 1 1 7)
1 + 1 = 2 (left: 2 7)
Thought:
1 + 1 = 2 (left: 2 7)
Value:
0.003
State:
8 - 1 = 7 (left: 1 1 7)
7 - 1 = 6 (left: 1 6)
Thought:
7 - 1 = 6 (left: 1 6)
Value:
0.003
State:
8 - 1 = 7 (left: 1 1 7)
7 / 1 = 7 (left: 1 7)
Thought:
7 / 1 = 7 (left: 1 7)
Value:
0.003
State:
8 - 1 = 7 (left: 1 1 7)
1 * 1 = 1 (left: 1 7)
Thought:
1 * 1 = 1 (left: 1 7)
Value:
0.003
State:
8 / 1 = 8 (left: 1 1 8)
Thought:
8 / 1 = 8 (left: 1 1 8)
Value:
0.003
State:
8 / 1 = 8 (left: 1 1 8)
1 + 1 = 2 (left: 2 8)
Thought:
1 + 1 = 2 (left: 2 8)
Value:
0.003
State:
8 / 1 = 8 (left: 1 1 8)
1 * 1 = 1 (left: 1 8)
Thought:
1 * 1 = 1 (left: 1 8)
Value:
0.003
State:
8 / 1 = 8 (left: 1 1 8)
8 - 1 = 7 (left: 1 7)
Thought:
8 - 1 = 7 (left: 1 7)
Value:
0.003
State:
8 / 1 = 8 (left: 1 1 8)
8 / 1 = 8 (left: 1 8)
Thought:
8 / 1 = 8 (left: 1 8)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
Thought:
1 + 1 + 1 = 3 (left: 3 8)
Value:
60.0
State:
1 + 1 + 1 = 3 (left: 3 8)
3 + 8 = 11 (left: 11)
Thought:
3 + 8 = 11 (left: 11)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
8 / 3 = 2.67 (left: 2.67)
Thought:
8 / 3 = 2.67 (left: 2.67)
Value:
0.002
State:
1 + 1 + 1 = 3 (left: 3 8)
8 - 3 = 5 (left: 5)
Thought:
8 - 3 = 5 (left: 5)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Thought:
3 * 8 = 24 (left: 24)
Value:
60.0
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: (1 + 1 + 1) * 8 = 24
Thought:
Answer: (1 + 1 + 1) * 8 = 24
Value:
60.0
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: (1 + 1 + 1) * 8 = 24
1 + 1 = 2 (left: 1 2)
Thought:
1 + 1 = 2 (left: 1 2)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: (1 + 1 + 1) * 8 = 24
1 - 1 = 0 (left: 0 1)
Thought:
1 - 1 = 0 (left: 0 1)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: (1 + 1 + 1) * 8 = 24
1 * 1 = 1 (left: 1 1)
Thought:
1 * 1 = 1 (left: 1 1)
Value:
0.003
State:
1 + 1 + 1 = 3 (left: 3 8)
3 * 8 = 24 (left: 24)
Answer: (1 + 1 + 1) * 8 = 24
This input is incomplete, it is not possible to define the next steps without knowing the remaining part of the expression.
Thought:
This input is incomplete, it is not possible to define the next steps without knowing the remaining part of the expression.
Value:
0.003
State:
8 - 1 - 1 = 6 (left: 1 6)
Thought:
8 - 1 - 1 = 6 (left: 1 6)
Value:
0.003
State:
8 / 1 / 1 = 8 (left: 1 8)
Thought:
8 / 1 / 1 = 8 (left: 1 8)
Value:
0.003