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_200 | 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: [1,1,0,0,0,1,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,0,1,0,0,0,0]
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 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,1,0,1,1,1,0,0,1] | [1,0,1,0,1,1,1,0,0,1] | true | stop | 331 |
cellular_automata_test_201 | 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]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 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... | [1,0,0,0,0,0,0,1,1] | [1,0,0,0,0,0,0,1,1] | true | stop | 302 |
cellular_automata_test_202 | 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]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [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 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,1,0,0,0,0,0,0,1] | [1,1,0,0,0,0,0,0,1] | true | stop | 302 |
cellular_automata_test_203 | 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: [0,0,0,0,0,0,1,0,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → 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... | [0,0,0,0,0,1,1,0,1,1] | [0,0,0,0,0,1,1,0,1,1] | true | stop | 331 |
cellular_automata_test_204 | 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: [1,0,0,1,0,0,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,0,0,1,0,1]
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 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [1,1,1,0,1,1,0,0,1] | [1,1,1,0,1,1,0,0,1] | true | stop | 302 |
cellular_automata_test_205 | 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: [0,0,0,1,0,0,1,0,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: ne... | [0,0,1,0,1,1,0,0,0,1] | [0,0,1,0,1,1,0,0,0,1] | true | stop | 331 |
cellular_automata_test_206 | 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_207 | 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_208 | 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: [0,0,0,0,0,1,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,1,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,0,0,0,1,1,1,1] | [0,0,0,0,1,1,1,1] | true | stop | 273 |
cellular_automata_test_209 | 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: [0,0,0,0,1,1,0,0,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,1,1,0,0,1,0]
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 → 1
Pos 4: ne... | [0,0,0,1,1,1,1,1,0,1] | [0,0,0,1,1,1,1,1,0,1] | true | stop | 331 |
cellular_automata_test_210 | 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: [0,0,0,0,0,0,1,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 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... | [0,0,0,0,0,1,0,1,0] | [0,0,0,0,0,1,0,1,0] | true | stop | 302 |
cellular_automata_test_211 | 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: [1,1,0,0,0,1,0,0,1]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,0,1,0,0,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,1) → pattern 111 → 0
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,1,0,1,1,1,1,1] | [0,0,1,0,1,1,1,1,1] | true | stop | 302 |
cellular_automata_test_212 | 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: [0,1,0,0,0,1,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,0,1,1,0]
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 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,1,1,0,1,1,0,1] | [1,1,1,0,1,1,0,1] | true | stop | 273 |
cellular_automata_test_213 | 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: [1,0,0,0,0,0,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 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: neighb... | [0,1,0,0,0,1,0,0] | [0,1,0,0,0,1,0,0] | true | stop | 273 |
cellular_automata_test_214 | 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: [1,0,0,0,0,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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 → 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: neighb... | [0,1,0,0,0,0,0,1] | [0,1,0,0,0,0,0,1] | true | stop | 273 |
cellular_automata_test_215 | 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]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 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 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [0,1,1,1,0,0,0,0] | [0,1,1,1,0,0,0,0] | true | stop | 273 |
cellular_automata_test_216 | 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: [0,1,0,0,1,1,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 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 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [1,0,1,1,1,1,1,0] | [1,0,1,1,1,1,1,0] | true | stop | 273 |
cellular_automata_test_217 | 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: [0,0,1,1,1,0,0,0,1,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,1,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 0
Pos 4: ne... | [1,1,1,0,1,1,0,1,1,1] | [1,1,1,0,1,1,0,1,1,1] | true | stop | 331 |
cellular_automata_test_218 | 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: [0,0,0,0,1,1,1,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,1,1,1,0,0]
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=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [0,0,0,1,1,0,1,1,0] | [0,0,0,1,1,0,1,1,0] | true | stop | 302 |
cellular_automata_test_219 | 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]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,1,0,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 0
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos 4: neig... | [0,0,1,1,1,0,0,0,1] | [0,0,1,1,1,0,0,0,1] | true | stop | 302 |
cellular_automata_test_220 | 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: [0,0,0,1,0,0,0,0,0,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,0,0,0,0,1]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 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_221 | 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: [1,1,0,0,1,1,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,1,1,1,0]
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=(0,0,1) → 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_222 | 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]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [0,1,0,1,0,1,0,1] | [0,1,0,1,0,1,0,1] | true | stop | 273 |
cellular_automata_test_223 | 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: [0,1,0,1,0,1,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,1,0,1,1,0]
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=(1,0,1) → pattern 101 → 0
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neighb... | [1,1,0,1,0,1,0,1] | [1,1,0,1,0,1,0,1] | true | stop | 273 |
cellular_automata_test_224 | 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: [0,1,1,1,0,0,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,1,0,0,0,0,0,0]
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=(1,1,1) → pattern 111 → 0
Pos 3: neighbors=(1,1,0) → pattern 110 → 0
Pos 4: ne... | [1,1,0,0,1,0,0,0,0,0] | [1,1,0,0,1,0,0,0,0,0] | true | stop | 331 |
cellular_automata_test_225 | 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: [0,0,0,1,1,0,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [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 → 1
Pos 4: neighb... | [0,0,1,1,0,1,0,0] | [0,0,1,1,0,1,0,0] | true | stop | 273 |
cellular_automata_test_226 | 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: [1,0,0,0,0,0,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 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: neighb... | [0,1,0,0,0,1,0,0] | [0,1,0,0,0,1,0,0] | true | stop | 273 |
cellular_automata_test_227 | 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]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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: neighb... | [1,0,0,0,0,1,1,1] | [1,0,0,0,0,1,1,1] | true | stop | 273 |
cellular_automata_test_228 | 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: [0,0,1,1,0,0,1,1,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,1,0,0,1,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 0
Pos 4: ne... | [0,1,1,0,1,1,1,0,1,0] | [0,1,1,0,1,1,1,0,1,0] | true | stop | 331 |
cellular_automata_test_229 | 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: [0,0,0,1,0,0,1,1,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,1,1,0,1]
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: ne... | [1,0,1,0,1,1,1,1,0,0] | [1,0,1,0,1,1,1,1,0,0] | true | stop | 331 |
cellular_automata_test_230 | 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: [1,0,0,1,0,1,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,0,1,0,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 0
Pos 4: neig... | [0,1,1,0,0,0,1,0,1] | [0,1,1,0,0,0,1,0,1] | true | stop | 302 |
cellular_automata_test_231 | 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: [0,0,0,0,1,1,0,0,0,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,1,1,0,0,0,1]
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=(0,0,1) → pattern 001 → 1
Pos 4: ne... | [1,0,0,1,1,0,1,0,1,1] | [1,0,0,1,1,0,1,0,1,1] | true | stop | 331 |
cellular_automata_test_232 | 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: [0,0,0,1,0,1,0,0,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,1,0,0,1,0]
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
Pos 4: ne... | [0,0,1,1,0,1,1,1,1,1] | [0,0,1,1,0,1,1,1,1,1] | true | stop | 331 |
cellular_automata_test_233 | 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_234 | 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]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,0,0,0,1]
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: neighb... | [0,1,0,0,0,0,1,1] | [0,1,0,0,0,0,1,1] | true | stop | 273 |
cellular_automata_test_235 | 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: [0,0,1,1,1,1,1,1]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,1,1,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,1) → pattern 111 → 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_236 | 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: [1,1,0,0,1,0,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [1,0,1,1,1,1,0,1] | [1,0,1,1,1,1,0,1] | true | stop | 273 |
cellular_automata_test_237 | 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: [0,0,1,1,1,0,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,1,1,0,1,0]
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=(1,1,1) → pattern 111 → 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_238 | 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: [0,1,0,0,0,0,0,1,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,0,0,1,1,0]
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: ne... | [1,0,1,0,0,0,1,1,1,1] | [1,0,1,0,0,0,1,1,1,1] | true | stop | 331 |
cellular_automata_test_239 | 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: [0,0,0,1,1,0,1,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,1,0,1,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neig... | [0,0,1,1,0,0,1,1,0] | [0,0,1,1,0,0,1,1,0] | true | stop | 302 |
cellular_automata_test_240 | 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: [0,0,1,0,0,1,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: ne... | [0,1,1,1,1,1,1,0,0,0] | [0,1,1,1,1,1,1,0,0,0] | true | stop | 331 |
cellular_automata_test_241 | 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_242 | 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: [1,1,0,0,0,0,1,0,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,1,0,0,1,1,0,1,0] | [1,0,1,0,0,1,1,0,1,0] | true | stop | 331 |
cellular_automata_test_243 | 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: [1,0,0,1,0,0,1,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,0,1,0,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [1,1,1,1,1,1,1,1,0,1] | [1,1,1,1,1,1,1,1,0,1] | true | stop | 331 |
cellular_automata_test_244 | 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: [1,0,0,1,0,1,0,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,1,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 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 → 0
Pos 4: ne... | [0,1,1,0,0,0,1,0,0,1] | [0,1,1,0,0,0,1,0,0,1] | true | stop | 331 |
cellular_automata_test_245 | 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: [1,1,0,0,0,0,1,0,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,1,0,0,0,0,1,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,1) → pattern 011 → 1
Pos 1: neighbors=(1,1,0) → pattern 110 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,0,1,0,0,1,1,0,1,0] | [1,0,1,0,0,1,1,0,1,0] | true | stop | 331 |
cellular_automata_test_246 | 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: [1,1,0,0,0,1,0,1,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,1,0,1,1,0]
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: ne... | [1,1,1,0,1,0,0,1,1,0] | [1,1,1,0,1,0,0,1,1,0] | true | stop | 331 |
cellular_automata_test_247 | 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: [0,0,1,1,0,1,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,1,0,1,1,0]
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=(1,1,0) → pattern 110 → 0
Pos 4: neighb... | [0,1,1,0,0,1,0,1] | [0,1,1,0,0,1,0,1] | true | stop | 273 |
cellular_automata_test_248 | 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: [1,0,0,1,1,0,1,0,1,1]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,1,0,1,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 0
Pos 1: neighbors=(1,0,0) → pattern 100 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: ne... | [0,1,1,1,0,0,1,0,1,0] | [0,1,1,1,0,0,1,0,1,0] | true | stop | 331 |
cellular_automata_test_249 | 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_250 | 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: [1,1,1,0,0,0,1,1,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,1,0,0,0,1,1,1,0]
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 → 1
Pos 4: ne... | [1,0,1,1,0,1,1,0,1,0] | [1,0,1,1,0,1,1,0,1,0] | true | stop | 331 |
cellular_automata_test_251 | 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: [0,1,1,0,0,0,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,0,0,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,1) → pattern 011 → 1
Pos 2: neighbors=(1,1,0) → pattern 110 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [1,1,0,1,0,1,1,1] | [1,1,0,1,0,1,1,1] | true | stop | 273 |
cellular_automata_test_252 | 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: [0,0,0,0,0,1,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,1,0,0,0,1,0] | [0,0,0,0,1,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_253 | 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: [0,0,0,0,0,1,1,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,1,1,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [0,0,0,0,1,1,1,1] | [0,0,0,0,1,1,1,1] | true | stop | 273 |
cellular_automata_test_254 | 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: [0,1,0,0,0,1,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,0,1,0,1,0,1,0] | [1,0,1,0,1,0,1,0] | true | stop | 273 |
cellular_automata_test_255 | 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: [0,1,0,0,0,1,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,1) → pattern 001 → 1
Pos 1: neighbors=(0,1,0) → pattern 010 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neighb... | [1,0,1,0,1,0,1,0] | [1,0,1,0,1,0,1,0] | true | stop | 273 |
cellular_automata_test_256 | 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: [0,0,0,0,0,1,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [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: neighb... | [1,0,0,0,1,1,0,1] | [1,0,0,0,1,1,0,1] | true | stop | 273 |
cellular_automata_test_257 | 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: [0,0,0,0,0,0,1,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 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... | [0,0,0,0,0,1,0,1,0] | [0,0,0,0,0,1,0,1,0] | true | stop | 302 |
cellular_automata_test_258 | 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: [1,0,1,0,0,1,0,1,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,0,1,0,1,1,0]
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... | [0,0,0,1,1,0,0,1,1,0] | [0,0,0,1,1,0,0,1,1,0] | true | stop | 331 |
cellular_automata_test_259 | 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]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 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... | [0,0,0,0,0,0,1,0,1] | [0,0,0,0,0,0,1,0,1] | true | stop | 302 |
cellular_automata_test_260 | 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: [0,1,0,1,0,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,1,0,0,0,0,0]
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=(1,0,1) → pattern 101 → 0
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [1,1,0,1,1,0,0,0,0] | [1,1,0,1,1,0,0,0,0] | true | stop | 302 |
cellular_automata_test_261 | 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_262 | 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: [0,0,0,0,1,1,1,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,1,1,1,0,0,0]
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=(0,0,1) → pattern 001 → 1
Pos 4: ne... | [0,0,0,1,1,0,0,1,0,0] | [0,0,0,1,1,0,0,1,0,0] | true | stop | 331 |
cellular_automata_test_263 | 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: [0,1,0,0,1,0,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,1,0,1,0]
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 → 1
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [1,1,1,1,1,0,1,1] | [1,1,1,1,1,0,1,1] | true | stop | 273 |
cellular_automata_test_264 | 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: [1,0,0,1,0,0,1,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,0,1,0]
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 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neighb... | [1,1,1,1,1,1,1,0] | [1,1,1,1,1,1,1,0] | true | stop | 273 |
cellular_automata_test_265 | 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: [0,0,0,0,0,0,0,0,1,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,0,0,0,1,0,1] | [0,0,0,0,0,0,0,1,0,1] | true | stop | 331 |
cellular_automata_test_266 | 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: [1,0,1,0,1,0,0,1,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,1,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,1,0) → pattern 110 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 0
Pos 3: neighbors=(1,0,1) → pattern 101 → 0
Pos 4: neig... | [1,0,0,0,0,1,1,1,0] | [1,0,0,0,0,1,1,1,0] | true | stop | 302 |
cellular_automata_test_267 | 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_268 | 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]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,1,0,0,0,0,1,1]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(1,0,0) → pattern 100 → 1
Pos 1: neighbors=(0,0,1) → pattern 001 → 1
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [1,1,1,1,0,0,1,1,0] | [1,1,1,1,0,0,1,1,0] | true | stop | 302 |
cellular_automata_test_269 | 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: [0,0,0,0,0,0,0,0,1,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,0,0,1,1]
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... | [1,0,0,0,0,0,0,1,1,1] | [1,0,0,0,0,0,0,1,1,1] | true | stop | 331 |
cellular_automata_test_270 | 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_271 | 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: [0,0,0,1,0,0,0,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,0,0,0,1,0,0]
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... | [0,0,1,0,1,0,1,0,1,0] | [0,0,1,0,1,0,1,0,1,0] | true | stop | 331 |
cellular_automata_test_272 | 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: [0,1,0,0,0,0,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,0,0,0,1]
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: neighb... | [0,1,1,0,0,0,1,1] | [0,1,1,0,0,0,1,1] | true | stop | 273 |
cellular_automata_test_273 | 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: [0,0,0,0,0,0,0,1,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,0,1,1,0]
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: ne... | [0,0,0,0,0,0,1,1,0,1] | [0,0,0,0,0,0,1,1,0,1] | true | stop | 331 |
cellular_automata_test_274 | 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]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,1,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neighb... | [0,0,1,1,0,1,1,0] | [0,0,1,1,0,1,1,0] | true | stop | 273 |
cellular_automata_test_275 | 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: [1,0,0,0,0,0,1,0,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 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: ne... | [0,1,0,0,0,1,0,1,0,1] | [0,1,0,0,0,1,0,1,0,1] | true | stop | 331 |
cellular_automata_test_276 | 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]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 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_277 | 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: [1,0,0,0,1,0,0,1]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,1,0,0,1]
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=(0,0,1) → pattern 001 → 1
Pos 4: neighb... | [0,1,0,1,1,1,1,1] | [0,1,0,1,1,1,1,1] | true | stop | 273 |
cellular_automata_test_278 | 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: [0,0,1,0,0,0,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [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 → 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: ne... | [1,1,0,1,0,0,0,0,1,0] | [1,1,0,1,0,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_279 | 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_280 | 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: [1,0,0,1,0,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,0,0,0,0]
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 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [1,1,1,1,1,0,0,0,1] | [1,1,1,1,1,0,0,0,1] | true | stop | 302 |
cellular_automata_test_281 | 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: [1,0,0,0,1,0,0,0]
Rule 90 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,0,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 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: neighb... | [0,1,0,1,0,1,0,1] | [0,1,0,1,0,1,0,1] | true | stop | 273 |
cellular_automata_test_282 | 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_283 | 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: [1,0,1,0,0,0,1,1,0,0]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,0,1,0,0,0,1,1,0,0]
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... | [0,0,0,1,0,1,1,1,1,1] | [0,0,0,1,0,1,1,1,1,1] | true | stop | 331 |
cellular_automata_test_284 | 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: [0,1,1,0,0,0,0,0,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,1,0,0,0,0,0,0]
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 → 0
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neig... | [1,1,0,1,0,0,0,0,0] | [1,1,0,1,0,0,0,0,0] | true | stop | 302 |
cellular_automata_test_285 | 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: [0,0,1,1,0,0,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,1,1,0,0,0,0,0]
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=(0,1,1) → pattern 011 → 1
Pos 3: neighbors=(1,1,0) → pattern 110 → 1
Pos 4: neig... | [0,1,1,1,1,0,0,0,0] | [0,1,1,1,1,0,0,0,0] | true | stop | 302 |
cellular_automata_test_286 | 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: [0,1,0,1,0,0,0,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,1,0,0,0,1,0]
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 → 0
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: neig... | [1,1,0,1,1,0,1,1,1] | [1,1,0,1,1,0,1,1,1] | true | stop | 302 |
cellular_automata_test_287 | 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]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,1,1,0,0]
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=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [0,0,0,0,1,1,0,1,0] | [0,0,0,0,1,1,0,1,0] | true | stop | 302 |
cellular_automata_test_288 | 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: [1,0,1,0,1,0,1,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,1,0,1,0,1,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
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: ne... | [1,0,1,0,1,0,1,1,0,1] | [1,0,1,0,1,0,1,1,0,1] | true | stop | 331 |
cellular_automata_test_289 | 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: [1,0,0,0,1,0,1,1,0]
Rule 30 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,0,1,0,1,1,0]
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 → 1
Pos 2: neighbors=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,1) → pattern 001 → 1
Pos 4: neig... | [1,1,0,1,1,0,1,0,0] | [1,1,0,1,1,0,1,0,0] | true | stop | 302 |
cellular_automata_test_290 | 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: [1,0,1,0,0,1,0,0]
Rule 30 lookup table:
111→0 11... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,1,0,0,1,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,1,0) → pattern 010 → 1
Pos 1: neighbors=(1,0,1) → pattern 101 → 0
Pos 2: neighbors=(0,1,0) → pattern 010 → 1
Pos 3: neighbors=(1,0,0) → pattern 100 → 1
Pos 4: neighb... | [1,0,1,1,1,1,1,1] | [1,0,1,1,1,1,1,1] | true | stop | 273 |
cellular_automata_test_291 | 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: [1,1,0,0,0,0,0,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [1,1,0,0,0,0,0,1,0]
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: neig... | [1,1,1,0,0,0,1,0,0] | [1,1,1,0,0,0,1,0,0] | true | stop | 302 |
cellular_automata_test_292 | 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: [1,0,0,1,0,0,1,0,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [1,0,0,1,0,0,1,0,1,0]
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 → 1
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,0) → pattern 010 → 1
Pos 4: ne... | [1,1,1,1,1,1,1,0,1,0] | [1,1,1,1,1,1,1,0,1,0] | true | stop | 331 |
cellular_automata_test_293 | 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: [0,0,0,0,0,1,1,0,1]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,1,1,0,1]
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=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,0,0,1,1,1,0,0] | [1,0,0,0,1,1,1,0,0] | true | stop | 302 |
cellular_automata_test_294 | 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: [0,0,0,1,1,0,0,0,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,1,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → pattern 000 → 0
Pos 1: neighbors=(0,0,0) → pattern 000 → 0
Pos 2: neighbors=(0,0,1) → pattern 001 → 1
Pos 3: neighbors=(0,1,1) → pattern 011 → 1
Pos 4: neig... | [0,0,1,1,1,1,0,0,0] | [0,0,1,1,1,1,0,0,0] | true | stop | 302 |
cellular_automata_test_295 | 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: [0,0,0,0,0,1,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,1,0,0,0,0]
Step 1: Apply rule to each cell (edges wrap around)
Pos 0: neighbors=(0,0,0) → 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... | [0,0,0,0,1,1,1,0,0,0] | [0,0,0,0,1,1,1,0,0,0] | true | stop | 331 |
cellular_automata_test_296 | 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: [0,1,0,0,0,1,0,0,0,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,1,0,0,0,1,0,0,0,0]
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 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [1,1,1,0,1,1,1,0,0,0] | [1,1,1,0,1,1,1,0,0,0] | true | stop | 331 |
cellular_automata_test_297 | 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: [0,0,0,0,0,0,0,0,0,1]
Rule 90 lookup table:
111→0... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,0,0,0,0,0,0,0,0,1]
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... | [1,0,0,0,0,0,0,0,1,0] | [1,0,0,0,0,0,0,0,1,0] | true | stop | 331 |
cellular_automata_test_298 | 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: [0,1,0,0,0,1,0,1,0]
Rule 90 lookup table:
111→0 ... | <think>
Problem: Simulate Rule 90 for 1 step
Initial: [0,1,0,0,0,1,0,1,0]
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 → 0
Pos 2: neighbors=(1,0,0) → pattern 100 → 1
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: neig... | [1,0,1,0,1,0,0,0,1] | [1,0,1,0,1,0,0,0,1] | true | stop | 302 |
cellular_automata_test_299 | 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: [0,0,0,0,0,0,1,1,1,0]
Rule 30 lookup table:
111→0... | <think>
Problem: Simulate Rule 30 for 1 step
Initial: [0,0,0,0,0,0,1,1,1,0]
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=(0,0,0) → pattern 000 → 0
Pos 3: neighbors=(0,0,0) → pattern 000 → 0
Pos 4: ne... | [0,0,0,0,0,1,1,0,0,1] | [0,0,0,0,0,1,1,0,0,1] | true | stop | 331 |
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