This article provides solutions and hints for the New York Times Connections puzzle #579, published January 10, 2025. The puzzle features the words: Sugar, Goat, Relax, Orange, Host, Rest, Door, Hinge, Easy, Rye, Depend, Car, Rely, Chill, Enough, and Bitters.
Puzzle Words: Sugar, Goat, Relax, Orange, Host, Rest, Door, Hinge, Easy, Rye, Depend, Car, Rely, Chill, Enough, Bitters
Image 1: 
What are Bitters?
Bitters are non-alcoholic flavorings, typically bitter or bittersweet, added to cocktails. Examples include orange and Angostura bitters.
Hints & Solutions:
The puzzle is solved by categorizing the words into four groups. Below are hints and answers for each category:
Category 1: Yellow (Straightforward)
Hint: Conditional upon something else.
Image 2: 
Answer: Be Contingent On
Words: Depend, Hinge, Rely, Rest
Category 2: Green (Medium Difficulty)
Hint: "Loosen up, man. Mellow out."
Image 3:
Answer: Calm Down!
Words: Chill, Easy, Enough, Relax
Category 3: Blue (Difficult)
Hint: "Bartender, what's in this delicious drink?"
Image 4:
Answer: Ingredients in an Old Fashioned
Words: Bitters, Orange, Rye, Sugar
Category 4: Purple (Tricky)
Hint: Should you switch your door, or should you keep it? Will you get a goat?
Image 5:
Answer: Featured in the Monty Hall Problem
Words: Car, Door, Goat, Host
Image 6: 
Complete Solution Summary:
- Yellow: Be Contingent On: Depend, Hinge, Rely, Rest
- Green: Calm Down!: Chill, Easy, Enough, Relax
- Blue: Ingredients in an Old Fashioned: Bitters, Orange, Rye, Sugar
- Purple: Featured in the Monty Hall Problem: Car, Door, Goat, Host
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