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_ood_8900 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,0,0,1,0,1,0,0,1,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,0,0,1,0,1,0,0,1,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
P... | [1,0,0,0,1,1,0,0,1,1,1,0,0] | [1,0,0,0,1,1,0,0,1,1,1,0,0] | true | stop | 771 |
cellular_automata_ood_8901 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,0,0,0,0,1,0,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,0,0,0,0,1,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos... | [1,1,0,0,0,1,1,0,1,0,0,1] | [0,1,0,0,0,1,1,0,1,0,1,1] | false | stop | 1,107 |
cellular_automata_ood_8902 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,0,0,0,0,1,0,0,1,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,0,0,0,0,1,0,0,1,0]
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 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0
Pos... | [1,1,1,0,0,1,1,1,1,1,1,0] | [1,1,1,0,0,1,1,1,1,1,1,0] | true | stop | 715 |
cellular_automata_ood_8903 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,1,0,1,0,1,0,0,1,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,1,0,1,0,1,0,0,1,0,0]
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=(0,0,1) → pattern 001 → 1
... | [0,0,1,1,0,0,0,0,1,1,1,1,0,0] | [0,0,1,1,0,0,0,0,1,1,1,1,0,0] | true | stop | 875 |
cellular_automata_ood_8904 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0] | [0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0] | true | stop | 939 |
cellular_automata_ood_8905 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,1,0,0,0,0,0,0,0,0,1,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,1,0,0,0,0,0,0,0,0,1,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1... | [1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0] | [1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] | false | stop | 1,361 |
cellular_automata_ood_8906 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 →... | [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1] | [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1] | true | stop | 1,363 |
cellular_automata_ood_8907 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,1,0,0,0,0,0,0,0,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,1,0,0,0,0,0,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0... | [1,0,1,1,0,1,0,0,0,0,0,0,1,1,0] | [1,0,1,1,0,1,0,0,0,0,0,0,1,1,0] | true | stop | 1,281 |
cellular_automata_ood_8908 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,1,0,0,0,0,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,1,0,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [0,1,1,0,1,0,0,0,0,0,0,0,0] | [0,1,1,0,1,0,0,0,0,0,0,0,0] | true | stop | 1,117 |
cellular_automata_ood_8909 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,0,0,1,0,0,0,0,0,0,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,0,0,1,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,0,0,0,0,1,1,1,0,0,0,0,1,1,1] | [0,0,0,0,0,1,1,1,0,0,0,0,1,1,1] | true | stop | 883 |
cellular_automata_ood_8910 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 →... | [1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0] | [1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,0] | true | stop | 1,363 |
cellular_automata_ood_8911 | ood | 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 110 for 3 steps.
Initial state: [1,1,1,0,0,0,1,0,0,1,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,1,0,0,0,1,0,0,1,0,0,1]
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 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0
P... | [1,1,1,1,1,0,0,0,0,0,0,0,1] | [1,1,1,1,1,0,0,0,0,0,0,0,1] | true | stop | 1,117 |
cellular_automata_ood_8912 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,1,0,0,0,1,1,1,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,1,0,0,0,1,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,1,1,0,1,1,1,0,1,1,1,1] | [0,1,1,0,1,1,1,0,1,1,1,1] | true | stop | 1,035 |
cellular_automata_ood_8913 | ood | 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 110 for 3 steps.
Initial state: [1,1,0,0,0,1,0,0,0,0,1,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,0,0,0,1,0,0,0,0,1,1]
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 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos... | [1,1,1,1,0,1,0,1,1,0,1,1] | [1,1,1,1,0,1,0,1,1,0,1,1] | true | stop | 1,035 |
cellular_automata_ood_8914 | ood | 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 110 for 2 steps.
Initial state: [1,1,1,0,0,0,0,0,1,1,0,1,0,1,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,1,1,0,0,0,0,0,1,1,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,1) → pattern 111 → 0
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0... | [1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] | [1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] | true | stop | 931 |
cellular_automata_ood_8915 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 →... | [1,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0] | [1,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0] | true | stop | 1,363 |
cellular_automata_ood_8916 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,1,0,0,0,0,0,1,0,0,0,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,1,0,0,0,0,0,1,0,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1... | [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1] | [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1] | true | stop | 883 |
cellular_automata_ood_8917 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0]
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 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1] | [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1] | true | stop | 939 |
cellular_automata_ood_8918 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,1,1,0,0,0,0,0,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,1,1,0,0,0,0,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
... | [1,0,1,1,0,1,0,0,0,0,0,0,1,1,0] | [1,0,1,1,0,1,0,0,0,0,0,0,1,1] | false | stop | 879 |
cellular_automata_ood_8919 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,0,0,1,1,0,1,0,0,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,0,0,1,1,0,1,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0... | [1,0,0,0,1,1,1,0,0,1,1,0,1,1,0] | [1,0,0,0,1,1,1,0,0,1,1,0,1,1,0] | true | stop | 1,281 |
cellular_automata_ood_8920 | ood | 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 110 for 2 steps.
Initial state: [1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1]
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 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 →... | [0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0] | [0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0] | true | stop | 939 |
cellular_automata_ood_8921 | ood | 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 110 for 2 steps.
Initial state: [1,1,0,0,0,0,1,0,0,0,1,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,1,0,0,0,0,1,0,0,0,1,0]
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 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos... | [0,1,0,0,1,1,1,0,1,1,0,0] | [0,1,0,0,1,1,1,0,1,1,0,0] | true | stop | 715 |
cellular_automata_ood_8922 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,1,0,0,0,0,1,1,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,1,0,0,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [1,1,1,1,1,0,0,1,1,0,1,0,1] | [1,1,1,1,1,0,0,1,1,0,1,0,1] | true | stop | 771 |
cellular_automata_ood_8923 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,0,0,1,1,0,0,1,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,0,0,1,1,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0
Pos... | [1,1,1,1,1,0,1,1,1,1,0,0] | [1,1,1,1,1,0,1,1,1,1,0,0] | true | stop | 763 |
cellular_automata_ood_8924 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
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 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0... | [0,1,1,1,1,1,1,0,0,0,1,1,0,1,1] | [0,1,1,1,1,1,1,0,0,0,1,1,0,0,0] | false | stop | 1,353 |
cellular_automata_ood_8925 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,1,0,0,1,0,0,0,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,1,0,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,0,1,1,1,1,1,1,0,1,1,1] | [0,0,1,1,1,1,1,1,0,1,1,1] | true | stop | 715 |
cellular_automata_ood_8926 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,1,0,0,0,0,0,1,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,1,0,0,0,0,0,1,0,0]
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
... | [0,0,0,1,1,1,0,0,0,1,1,1,0,0] | [0,0,0,1,1,1,0,0,0,1,1,1,0,0] | true | stop | 875 |
cellular_automata_ood_8927 | ood | 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 110 for 2 steps.
Initial state: [1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
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 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0] | [0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0] | true | stop | 939 |
cellular_automata_ood_8928 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 →... | [1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1] | [1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1] | true | stop | 1,363 |
cellular_automata_ood_8929 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 →... | [1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0] | [1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0] | true | stop | 939 |
cellular_automata_ood_8930 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,1,0,1,0,0,0,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,1,0,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [1,1,1,1,0,1,1,0,0,1,1,1,1] | [1,1,1,1,0,1,1,0,0,1,1,1,1] | true | stop | 1,117 |
cellular_automata_ood_8931 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,1,0,0,0,0,1,0,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,1,0,0,0,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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
P... | [0,1,1,1,0,0,1,1,1,0,1,1,1] | [0,1,1,1,0,0,1,1,1,0,1,1,1] | true | stop | 771 |
cellular_automata_ood_8932 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,1,1,0,0,0,0,1,1,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,1,1,0,0,0,0,1,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 0
Pos... | [1,1,1,1,1,0,0,1,1,0,1,0] | [1,1,1,1,1,0,0,1,1,0,1,0] | true | stop | 763 |
cellular_automata_ood_8933 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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 →... | [0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1] | [0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1] | true | stop | 1,363 |
cellular_automata_ood_8934 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,1,1,1,0,0,1,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,1,1,1,0,0,1,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [1,1,1,1,1,1,1,1,1,1,0,0,1] | [1,1,1,1,1,1,1,1,1,1,0,0,1] | true | stop | 771 |
cellular_automata_ood_8935 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 →... | [1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0] | [1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0] | true | stop | 939 |
cellular_automata_ood_8936 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1] | [1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,1] | true | stop | 939 |
cellular_automata_ood_8937 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,1,0,1,0,0,0,0,0,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,1,0,1,0,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,1) → pattern 111 → 0
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
... | [0,0,0,1,1,1,0,0,0,0,0,0,0,1] | [0,0,0,1,1,1,0,0,0,0,0,0,1,1] | false | stop | 1,271 |
cellular_automata_ood_8938 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,0,0,0,0,1,0,0,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,0,0,0,0,1,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 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 → 0
P... | [0,1,1,0,1,1,0,1,0,1,1,1,0] | [0,1,1,0,1,1,0,1,0,1,1,1,0] | true | stop | 1,117 |
cellular_automata_ood_8939 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,1,0,0,0,0,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,1,0,0,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [0,0,1,1,1,0,0,0,0,0,0,0,0] | [0,0,1,1,1,0,0,0,0,0,0,0,0] | true | stop | 771 |
cellular_automata_ood_8940 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,0,0,0,0,0,0,1,0,0,0,1,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,0,0,0,0,0,0,1,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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 → 0... | [0,0,1,0,0,0,1,1,0,1,1,1,1,1,1] | [0,0,1,0,0,0,1,1,0,1,1,1,1,1,1] | true | stop | 1,281 |
cellular_automata_ood_8941 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,1,0,0,0,1,0,0,1,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,1,0,0,0,1,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [1,1,0,1,1,1,0,0,0,1,1,1] | [1,1,0,1,1,1,0,0,0,1,1,1] | true | stop | 1,035 |
cellular_automata_ood_8942 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,0,1,0,1,0,1,0,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,0,1,0,1,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 1
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 → 1
P... | [0,0,0,0,0,0,0,1,1,1,1,1,0] | [0,0,0,0,0,0,0,1,1,1,1,1,0] | true | stop | 1,117 |
cellular_automata_ood_8943 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,1,0,0,0,0,1,0,1,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,1,0,0,0,0,1,0,1,0]
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=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos... | [1,1,1,1,0,1,1,1,0,1,1,1] | [1,1,1,1,0,1,1,1,0,1,1,1] | true | stop | 1,035 |
cellular_automata_ood_8944 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,1,0,1,0,1,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,1,0,1,0,1,0,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [0,0,0,1,0,0,0,1,1,0,0,1,1] | [0,0,0,1,0,0,0,1,1,0,0,1,1] | true | stop | 1,117 |
cellular_automata_ood_8945 | ood | 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 110 for 3 steps.
Initial state: [1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 1
Pos 2: neighbors=(1,0,1) → pattern 101 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 →... | [0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1] | [0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1] | true | stop | 1,363 |
cellular_automata_ood_8946 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0]
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 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 →... | [1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1] | [1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1] | true | stop | 1,363 |
cellular_automata_ood_8947 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,1,0,0,1,0,1,0,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,1,0,0,1,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
... | [0,1,1,0,0,0,1,0,1,1,0,0,0,0] | [0,1,1,0,0,0,1,0,1,1,0,0,0,0] | true | stop | 1,199 |
cellular_automata_ood_8948 | ood | 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 110 for 2 steps.
Initial state: [1,0,1,0,0,1,0,0,0,0,0,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,1,0,0,1,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0
Pos... | [0,0,1,1,1,1,0,0,0,1,1,1] | [0,0,1,1,1,1,0,0,0,1,1,0] | false | stop | 763 |
cellular_automata_ood_8949 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,0,0,0,0,0,0,0,0,1,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,0,0,0,0,0,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,0,0,0,0,0,0,0,0,0,0,1,1,0,1] | [0,0,0,0,0,0,0,0,0,0,0,1,1,0,1] | true | stop | 883 |
cellular_automata_ood_8950 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,1,0,1,0,0,0,0,0,0,1,1,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,1,0,1,0,0,0,0,0,0,1,1,0]
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 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1... | [1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] | [1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] | true | stop | 931 |
cellular_automata_ood_8951 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,0,1,0,0,0,0,0,0,1,0,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,0,1,0,0,0,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0] | [0,0,1,1,0,1,0,0,0,1,1,1,0,1,1] | false | stop | 1,361 |
cellular_automata_ood_8952 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,1,0,1,0,0,0,0,1,0,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,1,0,1,0,0,0,0,1,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1... | [1,0,1,1,0,0,1,0,0,1,1,1,0,1,1] | [1,0,1,1,0,0,1,0,0,1,1,1,0,1,1] | true | stop | 883 |
cellular_automata_ood_8953 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,1,0,0,1,1,1,0,0,0,1,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,1,0,0,1,1,1,0,0,0,1,0]
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 → 1
Pos 2: neighbors=(1,0,1) → pattern 101 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
... | [1,0,0,1,1,1,1,1,1,0,1,1,1,0,1] | [1,0,0,1,1,1,1,1,1,0,1,1,1,1] | false | stop | 879 |
cellular_automata_ood_8954 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,1,0,0,1,0,1,0,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,1,0,0,1,0,1,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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
P... | [1,1,0,1,1,1,0,0,1,0,1,1,1] | [1,1,0,1,1,1,0,0,1,0,1,1,1] | true | stop | 771 |
cellular_automata_ood_8955 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0] | [1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0] | true | stop | 1,363 |
cellular_automata_ood_8956 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0]
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=(0,0,1) → pattern 001 →... | [0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0] | [0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0] | true | stop | 1,363 |
cellular_automata_ood_8957 | ood | 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 110 for 3 steps.
Initial state: [1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
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 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1] | [1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1] | true | stop | 1,363 |
cellular_automata_ood_8958 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,1,1,0,0,1,0,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,1,1,0,0,1,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos... | [1,0,0,1,1,1,0,0,1,0,0,1] | [0,0,0,1,1,1,0,0,1,0,1,1] | false | stop | 1,107 |
cellular_automata_ood_8959 | ood | 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 110 for 3 steps.
Initial state: [1,0,1,1,0,0,0,0,0,1,0,1,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,1,1,0,0,0,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
P... | [0,0,1,1,0,0,1,1,1,0,0,0,0] | [0,0,1,1,0,0,1,1,1,0,0,0,0] | true | stop | 1,117 |
cellular_automata_ood_8960 | ood | 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 110 for 3 steps.
Initial state: [1,0,1,0,0,0,1,0,0,0,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,1,0,0,0,1,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 0
Pos... | [0,1,1,1,1,0,1,0,0,0,1,1] | [0,1,1,1,1,0,1,0,0,1,1,1] | false | stop | 1,107 |
cellular_automata_ood_8961 | ood | 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 110 for 3 steps.
Initial state: [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
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 → 1
... | [1,0,1,0,0,0,0,0,0,1,1,1,1,1,1] | [0,0,1,0,0,0,0,0,0,1,1,1,1,0] | false | stop | 1,277 |
cellular_automata_ood_8962 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1... | [1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] | [1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] | true | stop | 883 |
cellular_automata_ood_8963 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,1,1,0,0,0,1,0,0,0,0,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,1,1,0,0,0,1,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1... | [0,1,1,1,0,1,0,1,1,1,0,0,1,1,0] | [0,1,1,1,0,1,0,1,1,1,0,0,1,1,0] | true | stop | 883 |
cellular_automata_ood_8964 | ood | 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 110 for 2 steps.
Initial state: [1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 →... | [0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1] | [0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1] | true | stop | 939 |
cellular_automata_ood_8965 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,0,1,0,1,0,0,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,0,1,0,1,0,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 1
P... | [1,0,0,0,0,1,1,0,0,0,0,1,1] | [1,0,0,0,0,1,1,0,0,0,0,1,1] | true | stop | 1,117 |
cellular_automata_ood_8966 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,1,1,0,0,1,0,0,0,1,0,1]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,1,1,0,0,1,0,0,0,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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
... | [1,1,1,1,1,0,0,1,1,1,1,0,1,1,0] | [1,1,1,1,1,0,0,1,1,1,1,0,1,1] | false | stop | 1,279 |
cellular_automata_ood_8967 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 →... | [0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0] | [0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0] | true | stop | 939 |
cellular_automata_ood_8968 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 →... | [0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0] | [0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0] | true | stop | 939 |
cellular_automata_ood_8969 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 →... | [0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0] | [0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0] | true | stop | 939 |
cellular_automata_ood_8970 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,0,1,0,1,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,0,1,0,1,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
P... | [1,0,0,1,1,1,0,1,1,0,1,1,0] | [1,0,0,1,1,1,0,1,1,0,1,1,0] | true | stop | 1,117 |
cellular_automata_ood_8971 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,0,0,0,0,1,1,0,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,0,0,0,0,1,1,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,0) → pattern 100 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos... | [1,0,0,0,0,0,1,1,0,0,0,1] | [1,0,0,0,0,0,1,1,0,0,0,0] | false | stop | 763 |
cellular_automata_ood_8972 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,0,1,0,0,0,1,0,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,0,1,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 1
Pos... | [1,1,0,1,1,1,1,0,1,0,0,0] | [1,1,0,1,1,1,1,0,1,0,0,1] | false | stop | 1,107 |
cellular_automata_ood_8973 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,1,1,0,0,0,0,0,0,1,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,1,1,0,0,0,0,0,0,1,1]
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 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
P... | [1,1,1,0,1,0,0,0,0,1,1,1,1] | [1,1,1,0,1,0,0,0,0,1,1,1,1] | true | stop | 771 |
cellular_automata_ood_8974 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,0,0,0,1,0,0,0,0]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,0,0,0,1,0,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos... | [1,1,0,0,0,1,1,1,0,0,0,0] | [1,1,0,0,0,1,1,1,0,0,0,1] | false | stop | 763 |
cellular_automata_ood_8975 | ood | 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 110 for 2 steps.
Initial state: [0,0,1,0,1,0,1,1,1,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,1,0,1,0,1,1,1,0,0,0,0]
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=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,1) → pattern 101 → 1
P... | [1,1,0,0,0,0,1,1,1,0,0,0,0] | [1,1,0,0,0,0,1,1,1,0,0,0,0] | true | stop | 771 |
cellular_automata_ood_8976 | ood | 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 110 for 2 steps.
Initial state: [0,1,1,0,0,0,1,0,1,0,0,1,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,1,0,0,0,1,0,1,0,0,1,0,0]
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 → 0
... | [1,0,1,0,1,1,0,0,1,1,1,1,0,0] | [1,0,1,0,1,1,0,0,1,1,1,1,0,1] | false | stop | 875 |
cellular_automata_ood_8977 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,1,0,0,0,1,0,1,0,1,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,1,0,0,0,1,0,1,0,1,0]
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 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
P... | [1,0,0,1,1,1,1,0,0,0,0,0,1] | [1,0,0,1,1,1,1,0,0,0,0,0,1] | true | stop | 1,117 |
cellular_automata_ood_8978 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,0,0,0,0,0,0,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,0,0,0,0,0,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
... | [1,0,0,0,0,0,0,0,0,0,0,1,1,1,1] | [1,0,0,0,0,0,0,0,0,0,0,1,1,0] | false | stop | 1,277 |
cellular_automata_ood_8979 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,0,0,1,0,1,1,0,0,0,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,0,0,1,0,1,1,0,0,0,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
... | [1,0,0,0,1,1,0,0,0,1,0,0,1,1] | [1,0,0,0,1,1,0,0,0,1,0,0,1,1] | true | stop | 827 |
cellular_automata_ood_8980 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,0,0,0,0,1,0,0,1,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,0,0,0,0,1,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
P... | [1,1,0,0,0,1,1,0,0,0,1,0,0] | [1,1,0,0,0,1,1,0,0,0,1,0,0] | true | stop | 1,117 |
cellular_automata_ood_8981 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,0,1,1,1,0,0,1,1,1,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,0,1,1,1,0,0,1,1,1,0]
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 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
... | [1,1,0,1,1,1,1,1,1,1,1,1,1,0] | [1,1,0,1,1,1,1,1,1,1,1,1,1,1] | false | stop | 875 |
cellular_automata_ood_8982 | ood | 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 110 for 2 steps.
Initial state: [0,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 1
Pos 2: neighbors=(1,0,0) → pattern 100 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0... | [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1] | [1,1,0,1,1,1,0,0,1,1,0,0,1,0,1] | false | stop | 935 |
cellular_automata_ood_8983 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,1,0,1,0,0,1,1,1,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,1,0,1,0,0,1,1,1,0,0]
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=(1,1,1) → pattern 111 → 0
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
P... | [0,0,0,1,1,1,0,0,0,0,1,1,1] | [0,0,0,1,1,1,0,0,0,0,1,1,1] | true | stop | 1,117 |
cellular_automata_ood_8984 | ood | 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 110 for 3 steps.
Initial state: [1,0,0,0,0,0,0,0,1,0,0,1,0,1,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,0,0,0,0,0,0,0,1,0,0,1,0,1,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0... | [1,0,0,0,0,1,1,0,0,0,1,0,0,0,1] | [1,0,0,0,0,1,1,0,0,0,1,0,0,0,1] | true | stop | 1,281 |
cellular_automata_ood_8985 | ood | 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 110 for 3 steps.
Initial state: [1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1]
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 →... | [1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0] | [1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0] | true | stop | 1,363 |
cellular_automata_ood_8986 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,0,0,0,1,0,0,0,1,1]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,0,0,0,1,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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
... | [0,0,0,0,0,0,1,1,1,0,1,1,0,1] | [0,0,0,0,0,0,1,1,1,0,1,1,0,1] | true | stop | 827 |
cellular_automata_ood_8987 | ood | 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 110 for 2 steps.
Initial state: [1,0,0,0,0,1,0,0,0,1,1,0,1,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,0,0,0,1,0,0,0,1,1,0,1,0]
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 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
... | [1,0,0,1,1,1,0,1,1,0,0,0,1,1] | [1,0,0,1,1,1,0,1,1,0,0,0,0,0] | false | stop | 875 |
cellular_automata_ood_8988 | ood | 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 110 for 3 steps.
Initial state: [0,1,0,0,1,0,0,0,0,0,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,0,0,1,0,0,0,0,0,0,0,0]
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 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
P... | [0,0,0,0,1,0,0,0,0,0,0,1,1] | [0,0,0,0,1,0,0,0,0,0,0,1,1] | true | stop | 1,117 |
cellular_automata_ood_8989 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 →... | [0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0] | [0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0] | true | stop | 939 |
cellular_automata_ood_8990 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1]
Rule 110 lookup... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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 →... | [0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1] | [0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,1] | true | stop | 939 |
cellular_automata_ood_8991 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,0,0,1,1,1,0,0,1,1,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,0,0,1,1,1,0,0,1,1,0]
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=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
P... | [0,0,0,1,1,1,1,1,1,1,0,1,0] | [0,0,0,1,1,1,1,1,1,1,0,1,0] | true | stop | 771 |
cellular_automata_ood_8992 | ood | 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 110 for 2 steps.
Initial state: [1,0,1,1,0,0,1,0,0,1,1,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [1,0,1,1,0,0,1,0,0,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos... | [1,0,0,1,1,1,1,1,1,1,0,1] | [1,0,0,1,1,1,1,1,1,1,0,1] | true | stop | 715 |
cellular_automata_ood_8993 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,1,0,0,0,0,0,1,0,0,1]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,1,0,0,0,0,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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
P... | [0,1,1,1,0,0,0,1,1,1,1,1,1] | [0,1,1,1,0,0,0,1,1,1,1,1,1] | true | stop | 771 |
cellular_automata_ood_8994 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,1,1,0,0,0,0,1,0,0,0]
Rule 110 lookup table... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,1,1,0,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 0
P... | [1,0,0,0,1,0,1,1,0,1,0,0,1] | [1,0,0,0,1,0,1,1,0,1,0,0,1] | true | stop | 1,117 |
cellular_automata_ood_8995 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,0,0,0,0,0,1,0,0,1,0,0]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,0,0,0,0,0,1,0,0,1,0,0]
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... | [0,0,0,0,0,0,1,1,0,0,0,0,1,0,0] | [0,0,0,0,0,0,1,1,0,0,0,0,1,0,0] | true | stop | 1,281 |
cellular_automata_ood_8996 | ood | 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 110 for 3 steps.
Initial state: [0,0,1,0,1,1,1,0,0,0,0,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,1,0,1,1,1,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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 → 1
Pos... | [0,1,0,1,1,0,1,0,1,1,0,1] | [0,1,0,1,1,0,1,0,1,1,0,0] | false | stop | 1,107 |
cellular_automata_ood_8997 | ood | 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 110 for 2 steps.
Initial state: [0,0,0,1,0,0,1,1,0,1,0,0,1,0]
Rule 110 lookup tab... | <think>
Problem: Simulate Rule 110 for 2 steps
Initial: [0,0,0,1,0,0,1,1,0,1,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
... | [0,1,1,1,1,1,0,0,0,1,1,1,1,0] | [0,1,1,1,1,1,0,0,0,1,1,1,1,0] | true | stop | 875 |
cellular_automata_ood_8998 | ood | 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 110 for 3 steps.
Initial state: [0,0,0,0,0,0,0,0,0,0,0,1]
Rule 110 lookup table:
... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,0,0,0,0,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 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... | [0,0,0,0,0,0,0,0,1,1,0,1] | [0,0,0,0,0,0,0,0,1,1,0,1] | true | stop | 1,035 |
cellular_automata_ood_8999 | ood | 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 110 for 3 steps.
Initial state: [0,1,1,1,0,0,1,1,0,0,0,0,0,0,1]
Rule 110 lookup t... | <think>
Problem: Simulate Rule 110 for 3 steps
Initial: [0,1,1,1,0,0,1,1,0,0,0,0,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,1) → pattern 101 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,1) → pattern 111 → 0
Pos 3: neighbors=(1,1,0) → pattern 110 → 1... | [1,1,0,0,0,1,1,1,0,0,0,1,1,1,0] | [1,1,0,0,0,1,1,1,0,0,0,1,1,1,0] | true | stop | 1,281 |
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