(.venv) PS C:\Users\jarek\Python\tree-of-thoughts> python.exe .\montecarlo_example.py
None of PyTorch, TensorFlow >= 2.0, or Flax have been found. Models won't be available and only tokenizers, configuration and file/data utilities can be used.
Using api_model gpt-3.5-turbo
New state generating thought:
Input: 4 7 8 8
Possible next steps:
4 + 8 = 12 (left: 12 7 8)
8 / 4 = 2 (left: 2 7 8)
4 + 7 = 11 (left: 11 8 8)
4 * 8 = 32 (left: 32 7 8)
8 - 4 = 4 (left: 4 7 8)
8 - 7 = 1 (left: 1 4 8)
8 / 8 = 1 (left: 1 4 7)
8 + 8 = 16 (left: 16 4 7)
Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
Possible next steps:
We receive a state of type For state: Observation: The given numbers are 4, 7, 8, and 8.
Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
Thoughts:
- Addition and subtraction are unlikely to give us 24 with these numbers.
- Multiplication might work if we combine the two 8s.
- Division could also work if we divide one of the 8s by 4 and then multiply the result by 7.
- We can try different combinations of these operations to find a solution.
Possible next steps:
- 8 * 8 = 64 (left: 64 4 7)
- 8 / 4 = 2 (left: 2 7 8)
- 2 * 7 = 14 (left: 14 8 8)
- 14 + 8 = 22 (left: 22 8)
- 22 + 8 = 30 (left: 30)
Observation: None of the previous steps have resulted in 24.
Thoughts:
- We need to revise our approach.
- Instead of focusing on multiplication and division, we can try a combination of addition and subtraction.
Possible next steps:
- 8 + 8 = 16 (left: 16 4 7)
- 16 + 7 = 23 (left: 23 4)
- 23 - 4 = 19 (left: 19)
- 19 + 8 = 27 (left: 27)
- 27 - 7 = 20 (left: 20)
- 20 + 4 = 24 (left: 24)
Observation: The combination of addition and subtraction has resulted in 24.
Thoughts:
- This solution is valid and meets the given requirements.
- We have successfully obtained the integer number 24 using the given numbers and
Evaluated Thought Value: 0.9
New state generating thought:
Input: 4 7 8 8
Possible next steps:
4 + 8 = 12 (left: 12 7 8)
8 / 4 = 2 (left: 2 7 8)
4 + 7 = 11 (left: 11 8 8)
4 * 8 = 32 (left: 32 7 8)
8 - 4 = 4 (left: 4 7 8)
8 - 7 = 1 (left: 1 4 8)
8 / 8 = 1 (left: 1 4 7)
8 + 8 = 16 (left: 16 4 7)
Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
Possible next steps:
We receive a state of type For state: Observation: The given numbers are 4, 7, 8, and 8.
Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
Thoughts: To start, let's try combining the numbers using addition, subtraction, multiplication, and division.
Thoughts: We can start by adding 4 and 8, which gives us 12. (left: 12 7 8)
Thoughts: We can divide 8 by 4, which gives us 2. (left: 2 7 8)
Thoughts: We can add 4 and 7, which gives us 11. (left: 11 8 8)
Thoughts: We can multiply 4 and 8, which gives us 32. (left: 32 7 8)
Thoughts: We can subtract 4 from 8, which gives us 4. (left: 4 7 8)
Thoughts: We can subtract 7 from 8, which gives us 1. (left: 1 4 8)
Thoughts: We can divide 8 by 8, which gives us 1. (left: 1 4 7)
Thoughts: We can add 8 and 8, which gives us 16. (left: 16 4 7)
Thoughts: None of these combinations give us 24.
Observation: None of the evaluated solutions resulted in 24.
Thoughts: Let's try a different approach.
Thoughts: We can start by multiplying 4 and 8, which gives us 32. (left: 32 7 8)
Thoughts: We can then divide 32 by 8, which gives us 4. (left: 4 7 8)
Thoughts: We can subtract 7 from 8, which gives
Evaluated Thought Value: 0.5
New state generating thought:
Input: 4 7 8 8
Possible next steps:
4 + 8 = 12 (left: 12 7 8)
8 / 4 = 2 (left: 2 7 8)
4 + 7 = 11 (left: 11 8 8)
4 * 8 = 32 (left: 32 7 8)
8 - 4 = 4 (left: 4 7 8)
8 - 7 = 1 (left: 1 4 8)
8 / 8 = 1 (left: 1 4 7)
8 + 8 = 16 (left: 16 4 7)
Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
Possible next steps:
We receive a state of type For state: Observation: The given numbers are 4, 7, 8, and 8.
Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
Thoughts: To obtain 24, we can start by trying to combine the numbers in different ways using the available operations. Let's consider the possible next steps:
1. 4 + 8 = 12 (left: 12 7 8)
2. 8 / 4 = 2 (left: 2 7 8)
3. 4 + 7 = 11 (left: 11 8 8)
4. 4 * 8 = 32 (left: 32 7 8)
5. 8 - 4 = 4 (left: 4 7 8)
6. 8 - 7 = 1 (left: 1 4 8)
7. 8 / 8 = 1 (left: 1 4 7)
8. 8 + 8 = 16 (left: 16 4 7)
Observation: None of the above steps directly lead to 24.
Thoughts: It seems that none of the individual operations can directly give us 24. We may need to combine multiple operations or use parentheses to achieve the desired result.
Observation: The operation 4 * 8 = 32 is the closest to 24.
Thoughts: We can try to modify this equation by introducing additional operations or parentheses. Let's consider the following possibilities:
1. (4 * 8) - 8 = 24 (left: 24 7 8)
2. (4 * 8) / 8 = 4 (left: 4 7 8)
3. (4 * 8) + 8 = 40 (left: 40 7 8
Evaluated Thought Value: 0.7
Answerrrrrr ['Based on the given input, the possible next steps to obtain a 24 integer number in 1 equation are:\n\n1. 4 + 8 = 12 (left: 12 7 8)\n2. 8 / 4 = 2 (left: 2 7 8)\n3. 4 + 7 = 11 (left: 11 8 8)\n4. 4 * 8 = 32 (left: 32 7 8)\n5. 8 - 4 = 4 (left: 4 7 8)\n6. 8 - 7 = 1 (left: 1 4 8)\n7. 8 / 8 = 1 (left: 1 4 7)\n8. 8 + 8 = 16 (left: 16 4 7)\n\nTo obtain a 24 integer number, we can combine the operations as follows:\n\n1. 4 * 8 = 32\n2. 32 - 8 = 24\n\nTherefore, the solution is: 4 * 8 - 8 = 24.']
Solution: ['Based on the given input, the possible next steps to obtain a 24 integer number in 1 equation are:\n\n1. 4 + 8 = 12 (left: 12 7 8)\n2. 8 / 4 = 2 (left: 2 7 8)\n3. 4 + 7 = 11 (left: 11 8 8)\n4. 4 * 8 = 32 (left: 32 7 8)\n5. 8 - 4 = 4 (left: 4 7 8)\n6. 8 - 7 = 1 (left: 1 4 8)\n7. 8 / 8 = 1 (left: 1 4 7)\n8. 8 + 8 = 16 (left: 16 4 7)\n\nTo obtain a 24 integer number, we can combine the operations as follows:\n\n1. 4 * 8 = 32\n2. 32 - 8 = 24\n\nTherefore, the solution is: 4 * 8 - 8 = 24.']
