question_id stringlengths 24 29 | split stringclasses 3
values | domain stringclasses 1
value | task stringclasses 1
value | prompt stringlengths 398 423 | model_response stringlengths 539 3.2k | extracted_answer stringlengths 17 41 | ground_truth stringlengths 17 41 | correct bool 2
classes | finish_reason stringclasses 1
value | token_count int64 273 1.69k |
|---|---|---|---|---|---|---|---|---|---|---|
cellular_automata_test_0 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,0,0,0,0,1,1,1] | [1,0,0,0,0,0,1,1,1] | true | stop | 302 |
cellular_automata_test_1 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,0,0,0,0,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,1,1,0,0,1,0,0] | [1,1,1,0,0,1,0,0] | true | stop | 273 |
cellular_automata_test_2 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,1,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,1,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [1,0,1,0,0,1,1,0,0] | [1,0,1,0,0,1,1,0,0] | true | stop | 302 |
cellular_automata_test_3 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,0,0,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [0,1,0,1,0,0,0,0] | [0,1,0,1,0,0,0,0] | true | stop | 273 |
cellular_automata_test_4 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,1,1,0,0,1,0,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,1,0,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,1) → pattern 111 → 0
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [0,0,0,1,1,1,1,1,1] | [0,0,0,1,1,1,1,1,1] | true | stop | 302 |
cellular_automata_test_5 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,0,0,0,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,1,1,0,0,0,0,1] | [1,1,1,0,0,0,0,1] | true | stop | 273 |
cellular_automata_test_6 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,0,0,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,0,0,0,0,0,1,0] | [1,0,0,0,0,0,0,1,0] | true | stop | 302 |
cellular_automata_test_7 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,1,0,0,0,0,1,1,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,1,0,0,1,1,0,1,1] | [1,0,1,0,0,1,1,0,1,1] | true | stop | 331 |
cellular_automata_test_8 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,1,0,0,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [1,1,1,0,1,0,0,0,1,1] | [1,1,1,0,1,0,0,0,1,1] | true | stop | 331 |
cellular_automata_test_9 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,1,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,1,1,0,1,0,0] | [0,0,1,0,1,1,0,1,0,0] | true | stop | 331 |
cellular_automata_test_10 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,0,0,1,0,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,0,1,0,1,0,0,0] | [0,0,1,0,1,0,0,0] | true | stop | 273 |
cellular_automata_test_11 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,0,0,0,0,1,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,0,0,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [1,1,1,1,0,0,1,1,0,0] | [1,1,1,1,0,0,1,1,0,0] | true | stop | 331 |
cellular_automata_test_12 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,0,1,0,1,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,1,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: ne... | [0,1,0,1,0,0,0,1,0,1] | [0,1,0,1,0,0,0,1,0,1] | true | stop | 331 |
cellular_automata_test_13 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,1,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,1,1,0,1,0,0] | [0,0,1,0,1,1,0,1,0,0] | true | stop | 331 |
cellular_automata_test_14 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,1,0,1,1,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,1,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,1) → pattern 101 → 0
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neig... | [1,0,0,1,0,1,0,0,1] | [1,0,0,1,0,1,0,0,1] | true | stop | 302 |
cellular_automata_test_15 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,0,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,1,0,0,0,0,0,0,0,1] | [1,1,0,0,0,0,0,0,0,1] | true | stop | 331 |
cellular_automata_test_16 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,1,0,1,0,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,1,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,1) → pattern 111 → 0
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neig... | [1,0,1,0,0,1,0,0,1] | [1,0,1,0,0,1,0,0,1] | true | stop | 302 |
cellular_automata_test_17 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,0,1,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neighb... | [0,1,1,0,1,0,1,0] | [0,1,1,0,1,0,1,0] | true | stop | 273 |
cellular_automata_test_18 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,0,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,0,0,0,0,0,1,1,0] | [1,0,0,0,0,0,0,1,1,0] | true | stop | 331 |
cellular_automata_test_19 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,1,0,1,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [0,0,1,1,0,1,1,0,0] | [0,0,1,1,0,1,1,0,0] | true | stop | 302 |
cellular_automata_test_20 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,1,1,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,1,1,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [0,0,1,0,0,1,0,1,1] | [0,0,1,0,0,1,0,1,1] | true | stop | 302 |
cellular_automata_test_21 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,0,0,1,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [1,1,1,1,1,0,1,0] | [1,1,1,1,1,0,1,0] | true | stop | 273 |
cellular_automata_test_22 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,1,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,0,1,1,1,0] | [0,0,0,0,0,1,1,1,0] | true | stop | 302 |
cellular_automata_test_23 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,1,0,0,1,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,1,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [1,1,1,1,1,0,1,0] | [1,1,1,1,1,0,1,0] | true | stop | 273 |
cellular_automata_test_24 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,1,0,0,0,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [0,1,0,1,0,0,1,1] | [0,1,0,1,0,0,1,1] | true | stop | 273 |
cellular_automata_test_25 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,0,0,1,0,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [0,1,0,1,1,0,0,0,1] | [0,1,0,1,1,0,0,0,1] | true | stop | 302 |
cellular_automata_test_26 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,0,0,1,0,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [1,1,1,1,1,1,0,0] | [1,1,1,1,1,1,0,0] | true | stop | 273 |
cellular_automata_test_27 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,1,0,0,0,1,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,1,0,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [1,1,1,1,0,1,1,1,1,0] | [1,1,1,1,0,1,1,1,1,0] | true | stop | 331 |
cellular_automata_test_28 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,1,1,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,1,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: ne... | [0,0,1,1,0,1,0,0,1,0] | [0,0,1,1,0,1,0,0,1,0] | true | stop | 331 |
cellular_automata_test_29 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,1,0,1,0,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neighb... | [1,1,0,0,1,1,0,0] | [1,1,0,0,1,1,0,0] | true | stop | 273 |
cellular_automata_test_30 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,0,0,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,0,1,0,0,0,0,0] | [1,0,1,0,0,0,0,0] | true | stop | 273 |
cellular_automata_test_31 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,0,0,1,1,1,0] | [0,0,0,0,0,0,1,1,1,0] | true | stop | 331 |
cellular_automata_test_32 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,1,0,0,0,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,1) → pattern 111 → 0
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [0,0,1,1,0,0,0,1,1] | [0,0,1,1,0,0,0,1,1] | true | stop | 302 |
cellular_automata_test_33 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,0,0,0,0,0,0,0,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,1,1,0,0,0,0,0,1,1] | [0,1,1,0,0,0,0,0,1,1] | true | stop | 331 |
cellular_automata_test_34 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,0,0,1,1,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,1,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,1,1,1,1,0,1,0,0] | [0,1,1,1,1,1,0,1,0,0] | true | stop | 331 |
cellular_automata_test_35 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,1,0,1,0,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos 4: ne... | [0,1,1,1,0,0,1,0,0,0] | [0,1,1,1,0,0,1,0,0,0] | true | stop | 331 |
cellular_automata_test_36 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,1,1,1,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,1,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 0
Pos 4: neig... | [1,1,1,0,0,1,1,1,0] | [1,1,1,0,0,1,1,1,0] | true | stop | 302 |
cellular_automata_test_37 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,0,0,1,1,1] | [0,0,0,0,0,0,1,1,1] | true | stop | 302 |
cellular_automata_test_38 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,1,0,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [0,0,0,1,0,1,0,0,0] | [0,0,0,1,0,1,0,0,0] | true | stop | 302 |
cellular_automata_test_39 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,0,0,0,0,1,1,0,1] | [1,0,0,0,0,0,1,1,0,1] | true | stop | 331 |
cellular_automata_test_40 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,1,0,0,1,1,0,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,1,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [0,0,1,1,1,0,1,1,1] | [0,0,1,1,1,0,1,1,1] | true | stop | 302 |
cellular_automata_test_41 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,1,0,0,0,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [1,0,0,1,0,0,0,1,1] | [1,0,0,1,0,0,0,1,1] | true | stop | 302 |
cellular_automata_test_42 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,0,0,0,1,1,1,0] | [0,0,0,0,1,1,1,0] | true | stop | 273 |
cellular_automata_test_43 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,1,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,1,1,1,1,1,0] | [0,0,1,0,1,1,1,1,1,0] | true | stop | 331 |
cellular_automata_test_44 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,0,0,0,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,1,1,0,0,0,0,0,0] | [1,1,1,0,0,0,0,0,0] | true | stop | 302 |
cellular_automata_test_45 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,1,0,1,1,0,0,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,1,1,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: ne... | [0,1,0,0,1,0,1,1,1,0] | [0,1,0,0,1,0,1,1,1,0] | true | stop | 331 |
cellular_automata_test_46 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,1,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,1,0,0,1,1,1,0,1] | [1,1,0,0,1,1,1,0,1] | true | stop | 302 |
cellular_automata_test_47 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,1,0,0,0,0,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [0,1,1,1,1,0,0,1,1,0] | [0,1,1,1,1,0,0,1,1,0] | true | stop | 331 |
cellular_automata_test_48 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,0,0,1,1,1] | [0,0,0,0,0,0,1,1,1] | true | stop | 302 |
cellular_automata_test_49 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,0,0,0,0,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,1,0,0,0,1,0,1] | [1,0,1,0,0,0,1,0,1] | true | stop | 302 |
cellular_automata_test_50 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,1,1,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neighb... | [0,1,1,1,1,1,0,1] | [0,1,1,1,1,1,0,1] | true | stop | 273 |
cellular_automata_test_51 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,0,0,1,0,0,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,0,0,1,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,0,1,1,0,1,1,0,1] | [0,1,0,1,1,0,1,1,0,1] | true | stop | 331 |
cellular_automata_test_52 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,0,0,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,1,0,0,0,0,0,1,1] | [0,1,0,0,0,0,0,1,1] | true | stop | 302 |
cellular_automata_test_53 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,1,0,0,0,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 0
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,0,0,1,0,0,1,0,1,1] | [0,0,0,1,0,0,1,0,1,1] | true | stop | 331 |
cellular_automata_test_54 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,1,0,1,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,0,1,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos 4: neig... | [1,1,1,1,0,1,1,0,0] | [1,1,1,1,0,1,1,0,0] | true | stop | 302 |
cellular_automata_test_55 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,0,0,1,1,1,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,1,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,0,0,0,1,1,0,0,1] | [1,0,0,0,0,1,1,0,0,1] | true | stop | 331 |
cellular_automata_test_56 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,0,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [0,0,1,0,1,0,1,0,1] | [0,0,1,0,1,0,1,0,1] | true | stop | 302 |
cellular_automata_test_57 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,0,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,1,0,0,0,0,0] | [0,0,1,0,1,0,0,0,0,0] | true | stop | 331 |
cellular_automata_test_58 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,0,0,0,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,1,1,0,0,0,0,0,0] | [0,1,1,1,0,0,0,0,0,0] | true | stop | 331 |
cellular_automata_test_59 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,0,1,0,0,1,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,1,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [1,1,0,1,0,1,1,1,0] | [1,1,0,1,0,1,1,1,0] | true | stop | 302 |
cellular_automata_test_60 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,1,0,0,1,1,1,1] | [1,1,0,0,1,1,1,1] | true | stop | 273 |
cellular_automata_test_61 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,1,0,1,1,0,1,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,1,0,1,1,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neig... | [0,0,1,0,1,0,0,1,0] | [0,0,1,0,1,0,0,1,0] | true | stop | 302 |
cellular_automata_test_62 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,1,0,0,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [0,0,1,1,1,0,0,0,0,0] | [0,0,1,1,1,0,0,0,0,0] | true | stop | 331 |
cellular_automata_test_63 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,0,0,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [0,1,1,1,0,0,0,0,0] | [0,1,1,1,0,0,0,0,0] | true | stop | 302 |
cellular_automata_test_64 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,1,0,0,1,1,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,0,1,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [1,0,0,1,1,1,1,1,1,1] | [1,0,0,1,1,1,1,1,1,1] | true | stop | 331 |
cellular_automata_test_65 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,0,1,0,0,1,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,1,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,1) → pattern 101 → 0
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [0,1,0,1,1,1,1,0,1] | [0,1,0,1,1,1,1,0,1] | true | stop | 302 |
cellular_automata_test_66 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,0,0,0,0,0,1,1] | [1,0,0,0,0,0,1,1] | true | stop | 273 |
cellular_automata_test_67 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,0,0,0,1,0,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,1,1,0,1,0,0,1] | [0,1,1,0,1,0,0,1] | true | stop | 273 |
cellular_automata_test_68 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,1,1,0,0,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos 4: ne... | [1,0,1,1,1,0,0,0,1,1] | [1,0,1,1,1,0,0,0,1,1] | true | stop | 331 |
cellular_automata_test_69 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,1,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,0,0,0,0,1,0] | [0,0,1,0,0,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_70 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,1,1,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,1,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,0,0,0,1,1,0,0,0] | [1,0,0,0,0,1,1,0,0,0] | true | stop | 331 |
cellular_automata_test_71 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,1,0,0,0,1,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [0,0,1,1,1,0,1,1,1,0] | [0,0,1,1,1,0,1,1,1,0] | true | stop | 331 |
cellular_automata_test_72 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,1,0,0,0,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,1) → pattern 101 → 0
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neighb... | [0,0,0,0,1,0,1,0] | [0,0,0,0,1,0,1,0] | true | stop | 273 |
cellular_automata_test_73 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,0,0,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,1,0,0,0,0,1,1,0] | [1,1,0,0,0,0,1,1,0] | true | stop | 302 |
cellular_automata_test_74 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,1,1,1,1,0,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,1,1,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 0
Pos 4: neighb... | [1,0,1,0,0,1,0,1] | [1,0,1,0,0,1,0,1] | true | stop | 273 |
cellular_automata_test_75 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,0,0,1,1,1] | [0,0,0,0,0,0,1,1,1] | true | stop | 302 |
cellular_automata_test_76 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,0,1,0,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,1,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [0,0,1,1,0,0,0,0,0] | [0,0,1,1,0,0,0,0,0] | true | stop | 302 |
cellular_automata_test_77 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,1,1,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,1,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,1,1,0,1,0,0] | [0,0,0,0,1,1,0,1,0,0] | true | stop | 331 |
cellular_automata_test_78 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,0,0,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,0,0,1,0,1,0] | [0,0,0,0,0,0,1,0,1,0] | true | stop | 331 |
cellular_automata_test_79 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,1,0,1,1,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [1,1,1,1,0,1,0,1,1] | [1,1,1,1,0,1,0,1,1] | true | stop | 302 |
cellular_automata_test_80 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,0,0,1,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,0,0,1,0,1,0,1,0] | [1,0,0,0,1,0,1,0,1,0] | true | stop | 331 |
cellular_automata_test_81 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,1,0,0,0,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,1,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,1,1,0,0,0,0,1,0] | [0,1,1,1,0,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_82 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,1,0,1,0,1,0,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,1,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [0,1,1,1,0,1,0,1,0,1] | [0,1,1,1,0,1,0,1,0,1] | true | stop | 331 |
cellular_automata_test_83 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,0,0,0,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [1,1,0,1,0,1,0,0,0] | [1,1,0,1,0,1,0,0,0] | true | stop | 302 |
cellular_automata_test_84 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,1,1,0,0,1,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,1,0,0,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: ne... | [0,1,1,1,0,1,1,1,0,0] | [0,1,1,1,0,1,1,1,0,0] | true | stop | 331 |
cellular_automata_test_85 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,0,1,0,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,1,0,0,1,1,1,1,1] | [0,1,0,0,1,1,1,1,1] | true | stop | 302 |
cellular_automata_test_86 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,0,0,0,1,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,0,1,1,1,0] | [0,0,0,0,0,1,1,1,0] | true | stop | 302 |
cellular_automata_test_87 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,0,1,0,0,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [1,0,1,0,1,0,0,1,0] | [1,0,1,0,1,0,0,1,0] | true | stop | 302 |
cellular_automata_test_88 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,1,0,1,1,0,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,1,0,1,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neig... | [0,1,1,0,1,1,1,1,0] | [0,1,1,0,1,1,1,1,0] | true | stop | 302 |
cellular_automata_test_89 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,0,0,1,0,1,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,0,1,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,1,0,0,1,0,0,1,0] | [1,1,0,0,1,0,0,1,0] | true | stop | 302 |
cellular_automata_test_90 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,1,1,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neighb... | [0,0,1,1,0,0,1,0] | [0,0,1,1,0,0,1,0] | true | stop | 273 |
cellular_automata_test_91 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,1,0,0,0,0,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,1,0,0,0,0,0,0] | [1,0,1,0,0,0,0,0,0] | true | stop | 302 |
cellular_automata_test_92 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,0,0,1,1,0,1,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neig... | [0,1,1,1,1,0,0,1,1] | [0,1,1,1,1,0,0,1,1] | true | stop | 302 |
cellular_automata_test_93 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,1,1,0,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 0
Pos 4: neighb... | [0,1,1,0,0,1,1,0] | [0,1,1,0,0,1,1,0] | true | stop | 273 |
cellular_automata_test_94 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,1,1,0,1,0,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 0
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neighb... | [0,1,0,0,1,1,1,1] | [0,1,0,0,1,1,1,1] | true | stop | 273 |
cellular_automata_test_95 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [0,0,1,0,0,1,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,0,0,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,0,1,1,0,0,0,1,0] | [0,1,0,1,1,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_96 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [1,0,0,0,1,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [1,1,0,1,1,1,0,0,1] | [1,1,0,1,1,1,0,0,1] | true | stop | 302 |
cellular_automata_test_97 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 30 for 1 step.
Initial state: [0,0,0,1,0,1,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [0,0,1,1,0,1,1,0,0] | [0,0,1,1,0,1,1,0,0] | true | stop | 302 |
cellular_automata_test_98 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,0,0,0,0,0,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,1,1,0,0,0,1,1] | [0,1,1,0,0,0,1,1] | true | stop | 273 |
cellular_automata_test_99 | test | cellular_automata | cellular_automata_step_simulation | <|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:".
Simulate Rule 90 for 1 step.
Initial state: [1,1,0,0,1,1,1,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,1,1,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: ne... | [1,1,1,1,1,0,0,1,1,1] | [1,1,1,1,1,0,0,1,1,1] | true | stop | 331 |
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