style: auto-format example files with lux fmt

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

examples/standard/guessing_game.lux

@@ -1,42 +1,17 @@
-// Number guessing game - demonstrates Random and Console effects
-//
-// Expected output:
-// Welcome to the Guessing Game!
-// Target number: 42
-// Simulating guesses...
-// Guess 50: Too high!
-// Guess 25: Too low!
-// Guess 37: Too low!
-// Guess 43: Too high!
-// Guess 40: Too low!
-// Guess 41: Too low!
-// Guess 42: Correct!
-// Found in 7 attempts!
+fn checkGuess(guess: Int, secret: Int): String = if guess == secret then "Correct" else if guess < secret then "Too low" else "Too high"
 
-// Game logic - check a guess against the secret
-fn checkGuess(guess: Int, secret: Int): String =
-    if guess == secret then "Correct"
-    else if guess < secret then "Too low"
-    else "Too high"
-
-// Binary search simulation to find the number
 fn binarySearch(low: Int, high: Int, secret: Int, attempts: Int): Int with {Console} = {
-    let mid = (low + high) / 2
+    let mid = low + high / 2
     let result = checkGuess(mid, secret)
     Console.print("Guess " + toString(mid) + ": " + result + "!")
-
-    if result == "Correct" then attempts
-    else if result == "Too low" then binarySearch(mid + 1, high, secret, attempts + 1)
-    else binarySearch(low, mid - 1, secret, attempts + 1)
+    if result == "Correct" then attempts else if result == "Too low" then binarySearch(mid + 1, high, secret, attempts + 1) else binarySearch(low, mid - 1, secret, attempts + 1)
 }
 
 fn main(): Unit with {Console} = {
     Console.print("Welcome to the Guessing Game!")
-    // Use a fixed "secret" for reproducible output
     let secret = 42
     Console.print("Target number: " + toString(secret))
     Console.print("Simulating guesses...")
-
     let attempts = binarySearch(1, 100, secret, 1)
     Console.print("Found in " + toString(attempts) + " attempts!")
 }