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cellular_automata_test_0
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,0,0,0,1,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,0,0,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,0,0,0,0,0,1,1,1]
[1,0,0,0,0,0,1,1,1]
true
stop
302
cellular_automata_test_1
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,0,0,0,0,1,0] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0]
true
stop
273
cellular_automata_test_2
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,1,1,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,1,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: neig...
[1,0,1,0,0,1,1,0,0]
[1,0,1,0,0,1,1,0,0]
true
stop
302
cellular_automata_test_3
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,0,0,0,0,0] Rule 90 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neighb...
[0,1,0,1,0,0,0,0]
[0,1,0,1,0,0,0,0]
true
stop
273
cellular_automata_test_4
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,1,1,0,0,1,0,0,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,1,1,0,0,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 1: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[0,0,0,1,1,1,1,1,1]
[0,0,0,1,1,1,1,1,1]
true
stop
302
cellular_automata_test_5
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,0,0,0,0,0,0] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[1,1,1,0,0,0,0,1]
[1,1,1,0,0,0,0,1]
true
stop
273
cellular_automata_test_6
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,0,0,0,0,0,0,1,0]
[1,0,0,0,0,0,0,1,0]
true
stop
302
cellular_automata_test_7
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,1,0,0,0,0,1,1,0,0] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,1,0,0,0,0,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,1,0,0,1,1,0,1,1]
[1,0,1,0,0,1,1,0,1,1]
true
stop
331
cellular_automata_test_8
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,1,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,1,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[1,1,1,0,1,0,0,0,1,1]
[1,1,1,0,1,0,0,0,1,1]
true
stop
331
cellular_automata_test_9
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,1,0,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[0,0,1,0,1,1,0,1,0,0]
[0,0,1,0,1,1,0,1,0,0]
true
stop
331
cellular_automata_test_10
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,0,0,1,0,1] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,0,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[0,0,1,0,1,0,0,0]
[0,0,1,0,1,0,0,0]
true
stop
273
cellular_automata_test_11
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,0,0,0,0,1,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,1,0,0,0,0,1,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[1,1,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0]
true
stop
331
cellular_automata_test_12
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,0,1,0,1,0,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,0,1,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: ne...
[0,1,0,1,0,0,0,1,0,1]
[0,1,0,1,0,0,0,1,0,1]
true
stop
331
cellular_automata_test_13
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,1,0,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[0,0,1,0,1,1,0,1,0,0]
[0,0,1,0,1,1,0,1,0,0]
true
stop
331
cellular_automata_test_14
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,1,0,1,1,0,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,1,0,1,1,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 2: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: neig...
[1,0,0,1,0,1,0,0,1]
[1,0,0,1,0,1,0,0,1]
true
stop
302
cellular_automata_test_15
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,0,0,0,0,0] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,1,0,0,0,0,0,0,0,1]
[1,1,0,0,0,0,0,0,0,1]
true
stop
331
cellular_automata_test_16
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,1,0,1,0,0,0,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,1,0,1,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neig...
[1,0,1,0,0,1,0,0,1]
[1,0,1,0,0,1,0,0,1]
true
stop
302
cellular_automata_test_17
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,0,1,1,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neighb...
[0,1,1,0,1,0,1,0]
[0,1,1,0,1,0,1,0]
true
stop
273
cellular_automata_test_18
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,0,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,0,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,0,0,0,0,0,1,1,0]
[1,0,0,0,0,0,0,1,1,0]
true
stop
331
cellular_automata_test_19
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,1,0,1,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,1,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: neig...
[0,0,1,1,0,1,1,0,0]
[0,0,1,1,0,1,1,0,0]
true
stop
302
cellular_automata_test_20
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,1,1,1,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,1,1,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: neig...
[0,0,1,0,0,1,0,1,1]
[0,0,1,0,0,1,0,1,1]
true
stop
302
cellular_automata_test_21
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,0,0,1,1,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,0,0,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neighb...
[1,1,1,1,1,0,1,0]
[1,1,1,1,1,0,1,0]
true
stop
273
cellular_automata_test_22
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,1,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,0,0,0,0,1,1,1,0]
[0,0,0,0,0,1,1,1,0]
true
stop
302
cellular_automata_test_23
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,1,0,0,1,0,0] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,1,0,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neighb...
[1,1,1,1,1,0,1,0]
[1,1,1,1,1,0,1,0]
true
stop
273
cellular_automata_test_24
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,1,0,0,0,0,1] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,1,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neighb...
[0,1,0,1,0,0,1,1]
[0,1,0,1,0,0,1,1]
true
stop
273
cellular_automata_test_25
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,0,0,1,0,1,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,0,0,1,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[0,1,0,1,1,0,0,0,1]
[0,1,0,1,1,0,0,0,1]
true
stop
302
cellular_automata_test_26
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,0,0,1,0,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,0,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neighb...
[1,1,1,1,1,1,0,0]
[1,1,1,1,1,1,0,0]
true
stop
273
cellular_automata_test_27
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,1,0,0,0,1,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,1,0,0,0,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[1,1,1,1,0,1,1,1,1,0]
[1,1,1,1,0,1,1,1,1,0]
true
stop
331
cellular_automata_test_28
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,1,1,0,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,1,1,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: ne...
[0,0,1,1,0,1,0,0,1,0]
[0,0,1,1,0,1,0,0,1,0]
true
stop
331
cellular_automata_test_29
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,1,0,1,0,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,1,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neighb...
[1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0]
true
stop
273
cellular_automata_test_30
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,0,0,0,0,0] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[1,0,1,0,0,0,0,0]
[1,0,1,0,0,0,0,0]
true
stop
273
cellular_automata_test_31
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[0,0,0,0,0,0,1,1,1,0]
[0,0,0,0,0,0,1,1,1,0]
true
stop
331
cellular_automata_test_32
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,1,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,1,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 1: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[0,0,1,1,0,0,0,1,1]
[0,0,1,1,0,0,0,1,1]
true
stop
302
cellular_automata_test_33
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,0,0,0,0,0,0,0,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,0,0,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[0,1,1,0,0,0,0,0,1,1]
[0,1,1,0,0,0,0,0,1,1]
true
stop
331
cellular_automata_test_34
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,0,0,1,1,0,0,0] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,1,0,0,1,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,1,1,1,1,1,0,1,0,0]
[0,1,1,1,1,1,0,1,0,0]
true
stop
331
cellular_automata_test_35
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,1,0,1,0,0,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,1,0,1,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 4: ne...
[0,1,1,1,0,0,1,0,0,0]
[0,1,1,1,0,0,1,0,0,0]
true
stop
331
cellular_automata_test_36
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,1,1,1,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,1,1,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 4: neig...
[1,1,1,0,0,1,1,1,0]
[1,1,1,0,0,1,1,1,0]
true
stop
302
cellular_automata_test_37
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,0,0,0,0,0,1,1,1]
[0,0,0,0,0,0,1,1,1]
true
stop
302
cellular_automata_test_38
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,1,0,0,0,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,1,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neig...
[0,0,0,1,0,1,0,0,0]
[0,0,0,1,0,1,0,0,0]
true
stop
302
cellular_automata_test_39
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0,1] Rule 30 lookup table: 111β†’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) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,0,0,0,0,1,1,0,1]
[1,0,0,0,0,0,1,1,0,1]
true
stop
331
cellular_automata_test_40
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,1,0,0,1,1,0,0,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,1,0,0,1,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neig...
[0,0,1,1,1,0,1,1,1]
[0,0,1,1,1,0,1,1,1]
true
stop
302
cellular_automata_test_41
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,1,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,1,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[1,0,0,1,0,0,0,1,1]
[1,0,0,1,0,0,0,1,1]
true
stop
302
cellular_automata_test_42
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,1,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[0,0,0,0,1,1,1,0]
[0,0,0,0,1,1,1,0]
true
stop
273
cellular_automata_test_43
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,1,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[0,0,1,0,1,1,1,1,1,0]
[0,0,1,0,1,1,1,1,1,0]
true
stop
331
cellular_automata_test_44
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,0,0,0,0,0,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,0,0,0]
true
stop
302
cellular_automata_test_45
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,1,0,1,1,0,0,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,1,0,1,1,0,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: ne...
[0,1,0,0,1,0,1,1,1,0]
[0,1,0,0,1,0,1,1,1,0]
true
stop
331
cellular_automata_test_46
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,1,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,1,0,0,1,1,1,0,1]
[1,1,0,0,1,1,1,0,1]
true
stop
302
cellular_automata_test_47
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,1,0,0,0,0,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,1,0,0,0,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: ne...
[0,1,1,1,1,0,0,1,1,0]
[0,1,1,1,1,0,0,1,1,0]
true
stop
331
cellular_automata_test_48
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,0,0,0,0,0,1,1,1]
[0,0,0,0,0,0,1,1,1]
true
stop
302
cellular_automata_test_49
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,0,0,0,0,1,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,0,1,0,0,0,1,0,1]
[1,0,1,0,0,0,1,0,1]
true
stop
302
cellular_automata_test_50
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,1,1,0,0,0] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,1,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: neighb...
[0,1,1,1,1,1,0,1]
[0,1,1,1,1,1,0,1]
true
stop
273
cellular_automata_test_51
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,0,0,1,0,0,1,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,0,0,1,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,1,0,1,1,0,1,1,0,1]
[0,1,0,1,1,0,1,1,0,1]
true
stop
331
cellular_automata_test_52
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,0,0,0,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,1,0,0,0,0,0,1,1]
[0,1,0,0,0,0,0,1,1]
true
stop
302
cellular_automata_test_53
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,1,0,0,0,0,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,1,0,0,0,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,0,0,1,0,0,1,0,1,1]
[0,0,0,1,0,0,1,0,1,1]
true
stop
331
cellular_automata_test_54
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,1,0,1,1,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,1,0,1,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 4: neig...
[1,1,1,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0]
true
stop
302
cellular_automata_test_55
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,0,0,1,1,1,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,0,0,1,1,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,0,0,0,1,1,0,0,1]
[1,0,0,0,0,1,1,0,0,1]
true
stop
331
cellular_automata_test_56
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,0,1,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: neig...
[0,0,1,0,1,0,1,0,1]
[0,0,1,0,1,0,1,0,1]
true
stop
302
cellular_automata_test_57
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,0,0,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[0,0,1,0,1,0,0,0,0,0]
[0,0,1,0,1,0,0,0,0,0]
true
stop
331
cellular_automata_test_58
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,0,0,0,0,0,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,1,1,1,0,0,0,0,0,0]
[0,1,1,1,0,0,0,0,0,0]
true
stop
331
cellular_automata_test_59
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,0,1,0,0,1,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,0,1,0,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neig...
[1,1,0,1,0,1,1,1,0]
[1,1,0,1,0,1,1,1,0]
true
stop
302
cellular_automata_test_60
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,1,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[1,1,0,0,1,1,1,1]
[1,1,0,0,1,1,1,1]
true
stop
273
cellular_automata_test_61
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,1,0,1,1,0,1,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,1,0,1,1,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neig...
[0,0,1,0,1,0,0,1,0]
[0,0,1,0,1,0,0,1,0]
true
stop
302
cellular_automata_test_62
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,1,0,0,0,0,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: ne...
[0,0,1,1,1,0,0,0,0,0]
[0,0,1,1,1,0,0,0,0,0]
true
stop
331
cellular_automata_test_63
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,0,0,0,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,1,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[0,1,1,1,0,0,0,0,0]
[0,1,1,1,0,0,0,0,0]
true
stop
302
cellular_automata_test_64
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,1,0,0,1,1,0,0,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,1,0,0,1,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[1,0,0,1,1,1,1,1,1,1]
[1,0,0,1,1,1,1,1,1,1]
true
stop
331
cellular_automata_test_65
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,0,1,0,0,1,0,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,0,1,0,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 2: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: neig...
[0,1,0,1,1,1,1,0,1]
[0,1,0,1,1,1,1,0,1]
true
stop
302
cellular_automata_test_66
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[1,0,0,0,0,0,1,1]
[1,0,0,0,0,0,1,1]
true
stop
273
cellular_automata_test_67
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,0,0,0,1,0,1] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,0,0,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[0,1,1,0,1,0,0,1]
[0,1,1,0,1,0,0,1]
true
stop
273
cellular_automata_test_68
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,1,1,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,1,1,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 4: ne...
[1,0,1,1,1,0,0,0,1,1]
[1,0,1,1,1,0,0,0,1,1]
true
stop
331
cellular_automata_test_69
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,1,0,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,1,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: ne...
[0,0,1,0,0,0,0,0,1,0]
[0,0,1,0,0,0,0,0,1,0]
true
stop
331
cellular_automata_test_70
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,1,1,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,1,1,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,0,0,0,1,1,0,0,0]
[1,0,0,0,0,1,1,0,0,0]
true
stop
331
cellular_automata_test_71
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,1,0,0,0,1,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: ne...
[0,0,1,1,1,0,1,1,1,0]
[0,0,1,1,1,0,1,1,1,0]
true
stop
331
cellular_automata_test_72
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,1,0,0,0,1] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,1,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: neighb...
[0,0,0,0,1,0,1,0]
[0,0,0,0,1,0,1,0]
true
stop
273
cellular_automata_test_73
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,0,0,1,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,1,0,0,0,0,1,1,0]
[1,1,0,0,0,0,1,1,0]
true
stop
302
cellular_automata_test_74
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,1,1,1,1,0,1] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,1,1,1,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 4: neighb...
[1,0,1,0,0,1,0,1]
[1,0,1,0,0,1,0,1]
true
stop
273
cellular_automata_test_75
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,0,0,1,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,0,0,0,0,0,1,1,1]
[0,0,0,0,0,0,1,1,1]
true
stop
302
cellular_automata_test_76
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,0,1,0,1,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,0,1,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neig...
[0,0,1,1,0,0,0,0,0]
[0,0,1,1,0,0,0,0,0]
true
stop
302
cellular_automata_test_77
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,1,1,0,0,0] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,0,0,1,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[0,0,0,0,1,1,0,1,0,0]
[0,0,0,0,1,1,0,1,0,0]
true
stop
331
cellular_automata_test_78
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,0,0,0,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,0,0,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[0,0,0,0,0,0,1,0,1,0]
[0,0,0,0,0,0,1,0,1,0]
true
stop
331
cellular_automata_test_79
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,1,0,1,1,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,1,0,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: neig...
[1,1,1,1,0,1,0,1,1]
[1,1,1,1,0,1,0,1,1]
true
stop
302
cellular_automata_test_80
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,0,0,1,0,0,0,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,0,0,1,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: ne...
[1,0,0,0,1,0,1,0,1,0]
[1,0,0,0,1,0,1,0,1,0]
true
stop
331
cellular_automata_test_81
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,1,0,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,1,0,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,1,1,1,0,0,0,0,1,0]
[0,1,1,1,0,0,0,0,1,0]
true
stop
331
cellular_automata_test_82
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,1,0,1,0,1,0,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,1,0,1,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: ne...
[0,1,1,1,0,1,0,1,0,1]
[0,1,1,1,0,1,0,1,0,1]
true
stop
331
cellular_automata_test_83
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,0,0,0,1,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,0,0,0,1,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: neig...
[1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,0]
true
stop
302
cellular_automata_test_84
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,1,1,0,0,1,1,1] Rule 30 lookup table: 111β†’0...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,1,1,0,0,1,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: ne...
[0,1,1,1,0,1,1,1,0,0]
[0,1,1,1,0,1,1,1,0,0]
true
stop
331
cellular_automata_test_85
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,0,1,0,0,1] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,0,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,1,0,0,1,1,1,1,1]
[0,1,0,0,1,1,1,1,1]
true
stop
302
cellular_automata_test_86
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,0,0,0,1,0,0] Rule 30 lookup table: 111β†’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) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[0,0,0,0,0,1,1,1,0]
[0,0,0,0,0,1,1,1,0]
true
stop
302
cellular_automata_test_87
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,0,1,0,0,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,0,1,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 4: neig...
[1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,0,1,0]
true
stop
302
cellular_automata_test_88
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,1,0,1,1,0,0,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,1,0,1,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neig...
[0,1,1,0,1,1,1,1,0]
[0,1,1,0,1,1,1,1,0]
true
stop
302
cellular_automata_test_89
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,0,0,1,0,1,1] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,0,0,1,0,1,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,0,1,0]
true
stop
302
cellular_automata_test_90
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,1,1,1,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,1,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: neighb...
[0,0,1,1,0,0,1,0]
[0,0,1,1,0,0,1,0]
true
stop
273
cellular_automata_test_91
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,1,0,0,0,0,0,0,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,1,0,0,0,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 1: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neig...
[1,0,1,0,0,0,0,0,0]
[1,0,1,0,0,0,0,0,0]
true
stop
302
cellular_automata_test_92
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,0,0,1,1,0,1,0,0] Rule 90 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,0,0,1,1,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 4: neig...
[0,1,1,1,1,0,0,1,1]
[0,1,1,1,1,0,0,1,1]
true
stop
302
cellular_automata_test_93
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,1,1,0,1,0,0] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,1,1,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 3: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 4: neighb...
[0,1,1,0,0,1,1,0]
[0,1,1,0,0,1,1,0]
true
stop
273
cellular_automata_test_94
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,1,1,0,1,0,0,1] Rule 30 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,1,1,0,1,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 1: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 2: neighbors=(1,1,0) β†’ pattern 110 β†’ 0 Pos 3: neighbors=(1,0,1) β†’ pattern 101 β†’ 0 Pos 4: neighb...
[0,1,0,0,1,1,1,1]
[0,1,0,0,1,1,1,1]
true
stop
273
cellular_automata_test_95
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [0,0,1,0,0,1,0,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [0,0,1,0,0,1,0,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 2: neighbors=(0,1,0) β†’ pattern 010 β†’ 0 Pos 3: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 4: ne...
[0,1,0,1,1,0,0,0,1,0]
[0,1,0,1,1,0,0,0,1,0]
true
stop
331
cellular_automata_test_96
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [1,0,0,0,1,0,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [1,0,0,0,1,0,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 1: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 2: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: neig...
[1,1,0,1,1,1,0,0,1]
[1,1,0,1,1,1,0,0,1]
true
stop
302
cellular_automata_test_97
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 30 for 1 step. Initial state: [0,0,0,1,0,1,0,0,0] Rule 30 lookup table: 111β†’0 ...
<think> Problem: Simulate Rule 30 for 1 step Initial: [0,0,0,1,0,1,0,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 1: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 2: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 3: neighbors=(0,1,0) β†’ pattern 010 β†’ 1 Pos 4: neig...
[0,0,1,1,0,1,1,0,0]
[0,0,1,1,0,1,1,0,0]
true
stop
302
cellular_automata_test_98
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,0,0,0,0,0,1] Rule 90 lookup table: 111β†’0 11...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,0,0,0,0,0,1] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(1,1,1) β†’ pattern 111 β†’ 0 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,0) β†’ pattern 000 β†’ 0 Pos 4: neighb...
[0,1,1,0,0,0,1,1]
[0,1,1,0,0,0,1,1]
true
stop
273
cellular_automata_test_99
test
cellular_automata
cellular_automata_step_simulation
<|im_start|>system You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|> <|im_start|>user Solve the following problem. Show your work, then give your final answer on a line starting with "Answer:". Simulate Rule 90 for 1 step. Initial state: [1,1,0,0,1,1,1,1,0,0] Rule 90 lookup table: 111β†’0...
<think> Problem: Simulate Rule 90 for 1 step Initial: [1,1,0,0,1,1,1,1,0,0] Step 1: Apply rule to each cell (edges wrap around) Pos 0: neighbors=(0,1,1) β†’ pattern 011 β†’ 1 Pos 1: neighbors=(1,1,0) β†’ pattern 110 β†’ 1 Pos 2: neighbors=(1,0,0) β†’ pattern 100 β†’ 1 Pos 3: neighbors=(0,0,1) β†’ pattern 001 β†’ 1 Pos 4: ne...
[1,1,1,1,1,0,0,1,1,1]
[1,1,1,1,1,0,0,1,1,1]
true
stop
331
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algo-sft-eval-traces-cellular-automata-step-simulation-d5-v4

Full eval traces for algo-sft-cellular-automata-step-simulation-d5 across test/harder/ood splits

Dataset Info

  • Rows: 2000
  • Columns: 11

Columns

Column Type Description
question_id Value('string') Unique question identifier from eval set
split Value('string') Evaluation split: test (in-distribution), harder (scaled up), ood (structural out-of-distribution)
domain Value('string') Task domain: formal_logic, conlang_morphology, cellular_automata, long_arithmetic
task Value('string') Specific task variant (e.g., formal_logic_bottom_up)
prompt Value('string') Full prompt sent to the model
model_response Value('string') Complete untruncated model output
extracted_answer Value('string') Answer extracted by domain-specific parser
ground_truth Value('string') Expected correct answer
correct Value('bool') Whether extracted_answer matched ground_truth
finish_reason Value('string') vLLM finish reason: stop (natural end) or length (hit max_tokens)
token_count Value('int64') Number of tokens in model_response

Generation Parameters

{
  "script_name": "eval_model.py",
  "model": "reasoning-degeneration-dev/algo-sft-cellular-automata-step-simulation-d5",
  "description": "Full eval traces for algo-sft-cellular-automata-step-simulation-d5 across test/harder/ood splits",
  "hyperparameters": {
    "max_tokens": 32768,
    "max_model_len": 32768,
    "temperature": 0.0,
    "base_model": "Qwen/Qwen2.5-1.5B-Instruct"
  },
  "input_datasets": []
}

Usage

from datasets import load_dataset

dataset = load_dataset("raca-workspace-v1/algo-sft-eval-traces-cellular-automata-step-simulation-d5-v4", split="train")
print(f"Loaded {len(dataset)} rows")

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