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(.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.']
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