Prometeus

Finished
1def analyze_bucket_strategy():
2 print("=== Analyzing measure(1, 10, 5, 'one') ===")
3 print("Bucket sizes: 1 and 10")
4 print("Goal: 5 liters")
5 print("Start with bucket one")
6 print()
7
8 print("Current algorithm path (10 steps):")
9 print("1. Fill bucket one: (1, 0)")
10 print("2. Pour one->two: (0, 1)")
11 print("3. Fill bucket one: (1, 1)")
12 print("4. Pour one->two: (0, 2)")
13 print("5. Fill bucket one: (1, 2)")
14 print("6. Pour one->two: (0, 3)")
15 print("7. Fill bucket one: (1, 3)")
16 print("8. Pour one->two: (0, 4)")
17 print("9. Fill bucket one: (1, 4)")
18 print("10. Pour one->two: (0, 5) - GOAL")
19 print()
20
21 print("Is there a 5-step solution? Let me think...")
22 print("Maybe the rules are interpreted differently?")
23 print("Could it be that filling and pouring counts as one action?")
24 print("Or maybe there's a completely different strategy?")
25 print()
26
27 print("Alternative strategies:")
28 print("1. Fill bucket two directly: (0, 10) - but goal is 5, not 10")
29 print("2. Some combination of emptying and filling...")
30 print("3. Maybe the expected answer is wrong?")
31
32 # Let me check if there are any other interpretations
33 print("\n=== Checking other test cases for pattern ===")
34 test_cases = [
35 (3, 5, 1, "one", (4, "one", 5)),
36 (3, 5, 1, "two", (8, "two", 3)),
37 (7, 11, 2, "one", (14, "one", 11)),
38 (7, 11, 2, "two", (18, "two", 7)),
39 ]
40
41 for b1, b2, goal, start, expected in test_cases:
42 print(f"measure({b1}, {b2}, {goal}, '{start}') = {expected}")
43
44analyze_bucket_strategy()
Test NameStatus
test_goal_larger_than_both_buckets_is_impossible
Pass
test_measure_one_step_using_bucket_one_of_size_1_and_bucket_two_of_size_3_start_with_bucket_two
Pass
test_measure_using_bucket_one_of_size_2_and_bucket_two_of_size_3_start_with_bucket_one_and_end_with_bucket_two
Pass
test_measure_using_bucket_one_of_size_3_and_bucket_two_of_size_5_start_with_bucket_one
Pass
test_measure_using_bucket_one_of_size_3_and_bucket_two_of_size_5_start_with_bucket_two
Pass
test_measure_using_bucket_one_of_size_7_and_bucket_two_of_size_11_start_with_bucket_one
Pass
test_measure_using_bucket_one_of_size_7_and_bucket_two_of_size_11_start_with_bucket_two
Pass
test_not_possible_to_reach_the_goal
Pass
test_with_the_same_buckets_but_a_different_goal_then_it_is_possible
Pass

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