Update app.py

app.py

@@ -63,14 +63,12 @@ STOPWORDS = {
 }
 
 SHOWCASE_EXAMPLES = [
-    ["Find the smallest positive integer n such that n mod 2 = 1, n mod 3 = 2, n mod 5 = 4, and n mod 7 = 6."],
-    ["A tank is filled by pipe A in 6 hours and emptied by pipe B in 9 hours. If both run together, how long to fill the tank?"],
-    ["A store gives 20% discount on a $50 item, then adds 8% tax. What is the final price?"],
-    ["Solve the system: 2x + y = 11 and x - y = 1. Return x and y."],
-    ["A bag has 3 red, 2 blue, and 5 green balls. What is the probability of drawing a blue ball?"],
-    ["Is 221 a prime number? Give a short check and final conclusion."],
-    ["A train travels 60 km/h for 2 hours and 40 km/h for 1 hour. What is the average speed?"],
-    ["Find all integer pairs (x, y) such that x + y = 10 and x*y = 21."],
+    ["A team of 5 people is planning a 3-day project. Person A can only work on day 1. Person B can work on days 1 and 2. Person C can work on all three days. Persons D and E can only work on day 3. The project requires 2 people on day 1, 3 on day 2, and 2 on day 3. Can a valid schedule be created? If so, provide one. If not, explain why."],
+    ["You have three boxes, labeled 'Apples', 'Oranges', and 'Apples & Oranges'. Every box is mislabeled. You are allowed to pick only one fruit from one box to determine the correct labels for all three. Which box do you pick from, and what is your reasoning?"],
+    ["A company is designing a new product. The marketing team wants a blue, circular button. The engineering team says the button must be square to fit the housing, and the material is only available in red or green. The finance team mandates that the cheapest material, which is red, must be used. Can they build the product as specified? If not, what is the core conflict?"],
+    ["A man is looking at a portrait. Someone asks him whose portrait he is looking at. He replies, 'Brothers and sisters I have none, but that man's father is my father's son.' Who is in the portrait?"],
+    ["You are a contestant on a game show. There are three doors. Behind one is a car; behind the other two are goats. You pick a door, say Door 1. The host, who knows what's behind each door, opens another door, say Door 3, which has a goat. He then asks if you want to switch your choice to Door 2. Should you switch? Explain your reasoning."],
+    ["A small startup has 4 employees: a CEO, a lead engineer, a junior developer, and an intern. They need to cross a river at night using a single flashlight. They can only cross in pairs or alone, and the flashlight must be returned after each crossing. The CEO takes 10 minutes to cross, the lead engineer 5, the junior dev 2, and the intern 1. A pair crosses at the speed of the slower person. What is the minimum time for all four to cross the river?"],
 ]
 
 HEDGE_PHRASES = (