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0 | 2 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 3 | 0.4 | true | false | "[{\"code\": \"# Simulate a small case to verify the rule\\n# Input: N=3, W=3, blocks at (1,1), (1,2(...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 3 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 3 | 0.266667 | true | false | "[{\"code\": \"# Test with sample input 1\\nN, W = 5, 3\\nblocks = [\\n (1,1), (1,2), (2,2), (3,2), (...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 4 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0.466667 | true | false | "[{\"code\": \"# Test with Sample Input 1\\n# N=5, W=3\\n# Blocks at (1,1), (1,2), (2,2), (3,2), (2,(...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 5 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0 | true | false | "[{\"code\": \"# Test the simulation on sample input\\ndef simulate_steps(blocks, W, max_steps=5):\\(...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | false | 0 | 0 | [
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0 | 6 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0.333333 | true | false | "[{\"code\": \"print(\\\"Simulating on small input to verify rules...\\\")\\nprint(\\\"Details of si(...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 7 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0.133333 | true | false | "[{\"code\": \"# Simulate a small case to test movement rules\\nN, W = 2, 2\\nblocks = [(1, 2), (2, (...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 8 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0.266667 | true | false | "[{\"code\": \"# Test small simulation with sample input\\n\\ndef simulate_blocks(blocks, W, steps):(...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | true | 0 | 0 | [
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0 | 9 | "There is a grid with 10^9 rows and W columns. The cell at the x-th column from the left and the y-t(...TRUNCATED) | "[{\"role\": \"system\", \"content\": \"You are a helpful coding assistant.\\n\\nYou have access to (...TRUNCATED) | 4 | 0 | true | false | "[{\"code\": \"# Testing with sample input 1\\nN, W = 5, 3\\nblocks = [(1,1), (1,2), (2,2), (3,2), ((...TRUNCATED) | "{\"inputs\": [\"5 3\\n1 1\\n1 2\\n2 2\\n3 2\\n2 3\\n6\\n1 1\\n1 2\\n2 3\\n2 5\\n3 4\\n3 5\", \"3 2\(...TRUNCATED) | false | 0 | 0 | [
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