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Copy file name to clipboardExpand all lines: blog/2026-03-17-rocm-miles-rl-amd.md
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@@ -228,8 +228,8 @@ This work expands hardware portability across the PyTorch ecosystem and lowers t
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**question**
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Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
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Find the sum of the four least positive integers each of whose digits add to $12$.
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Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
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Find the sum of the four least positive integers each of whose digits add to $12$.
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Remember to put your answer on its own line after "Answer:".
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To solve the problem of finding the sum of the four least positive integers each of whose digits add to 12, we'll need to systematically generate numbers starting from the smallest possible and check their digit sums. The key is to begin with the smallest numbers and proceed upwards until we have the first four that meet the criteria. Let's use code to automate this process.
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```json
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{"name": "execute_python_code", "arguments": {"code": "def digit_sum(n):\n return sum(int(d) for d in str(n))\n\nnumbers = []\ncurrent = 39\nwhile len(numbers) < 4:\n if digit_sum(current) == 12:\n numbers.append(current)\n current += 1\n\nprint(numbers)"}}
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```
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<tool_call>
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{"name": "execute_python_code", "arguments": {"code": "def digit_sum(n):\n return sum(int(d) for d in str(n))\n\nnumbers = []\ncurrent = 39 # Start checking from 39 since it's the smallest two-digit number whose digits sum to 12 (3+9=12)\nwhile len(numbers) < 4:\n if digit_sum(current) == 12:\n numbers.append(current)\n current += 1\n\nprint(numbers)"}}
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</tool_call><|im_end|>
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python output: `[39, 48, 57, 66]`
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python output
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[39, 48, 57, 66]
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---
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**turn 2:**
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The code generates the first four numbers whose digits sum to 12, which are 39, 48, 57, and 66. Now, we need to calculate their sum.
Error: Validation failed for input parameters: 1 validation error for Execute_python_codeTool code Field required
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Error: Validation failed for input parameters: 1 validation error for Execute\_python\_codeTool
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code
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Field required [type=missing, input\_value={}, input\_type=dict]
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For further information visit https://errors.pydantic.dev/2.12/v/missing
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The sum of these four numbers is calculated to be 210. This confirms that the four smallest numbers are indeed 39, 48, 57, and 66, and their sum is 210.
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