The New York Times Connections puzzle #583, for January 14th, 2025, presents a challenging word arrangement task. Sixteen words must be categorized, requiring precision and minimal errors. Even experienced players might find this puzzle particularly difficult. This guide provides hints and solutions.

Puzzle Words: Working, Session, Body, Crowd, Puffing, Running, Swank, Flash, Sitting, Active, Gully, Period, Strap, Meeting, Functional, Lens.

General Hints:

• No categories relate to exercise.
• "Gully" and "Puffing" belong together.
• "Body" and "Flash" share a category.

Category Hints and Solutions:

Yellow Category (Easy):

• Hint: The machines are __ as intended.
• Answer: Operating
• Words: Active, Functional, Running, Working

Green Category (Medium):

• Hint: A duration, a semester, perhaps.
• Answer: Term
• Words: Meeting, Period, Session, Sitting

Blue Category (Hard):

• Hint: Everything you need to take a photo (and more!).
• Answer: Things in a Camera Kit
• Words: Body, Flash, Lens, Strap

Purple Category (Tricky):

• Hint: This category only makes sense after removing the final letter from each word.
• Answer: Bird Plus Letter
• Words: Crowd, Gully, Puffing, Swank

Complete Solutions:

• Yellow - Operating: Active, Functional, Running, Working
• Green - Term: Meeting, Period, Session, Sitting
• Blue - Things in a Camera Kit: Body, Flash, Lens, Strap
• Purple - Bird Plus Letter: Crowd, Gully, Puffing, Swank

Play the New York Times Games Connections puzzle online on various devices.