You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "binary_search", "description": "Performs binary search on a sorted list to find the index of a target value.", "parameters": {"arr": {"description": "The sorted list of integers.", "type": "List[int]"}, "target": {"description": "The target value to search for.", "type": "int"}}}, {"name": "find_files", "description": "Finds all files with a specific extension in a directory and its subdirectories.", "parameters": {"directory": {"description": "The directory to search in.", "type": "str"}, "extension": {"description": "The file extension to search for.", "type": "str"}}}, {"name": "format_date", "description": "Converts a date string from one format to another.", "parameters": {"date": {"description": "The date string to convert.", "type": "str"}, "input_format": {"description": "The format of the input date string.", "type": "str"}, "output_format": {"description": "The desired format of the output date string.", "type": "str"}}}, {"name": "is_armstrong_number", "description": "Checks if a number is an Armstrong number.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}]
Is 1634 an Armstrong number? Also, what is the index of 3 in the list [1, 2, 3, 4, 5, 6, 7, 8, 9]?
user
assistant
[{"name": "is_armstrong_number", "arguments": {"num": 1634}}, {"name": "binary_search", "arguments": {"arr": [1, 2, 3, 4, 5, 6, 7, 8, 9], "target": 3}}]