Add see-it sequence generator
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math-problems/see-it-generator/.gitignore
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math-problems/see-it-generator/.gitignore
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output.csv
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math-problems/see-it-generator/README.md
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math-problems/see-it-generator/README.md
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# See-it Generator
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The See it sequence is exactly as the name implies, what you see is the next entry in the sequence. For example,
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$$
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1
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11
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21
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1211
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111221
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312211
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13112221
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1113213211
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$$
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I learned about this sequence from [Genius at Play](https://www.amazon.com/Genius-At-Play-Curious-Horton/dp/1620405938).
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This code just generates this sequence.
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math-problems/see-it-generator/main.py
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math-problems/see-it-generator/main.py
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import pandas as pd
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import time
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def main():
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"""
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Print out a sequence following the see-it sequence
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"""
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upper_bound = 100
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seed = "1"
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file_location = "output.csv"
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df = pd.DataFrame(columns=["Iteration", "Length", "Value"])
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val = seed
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for i in range(0,upper_bound):
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#print(f"Iteration : {i}")
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#print(f"Length : {len(val)}")
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#print(val)
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df.loc[len(df)] = [i, len(val), val]
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start_time = time.time()
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val = next_step(val)
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elasped_time = time.time() - start_time
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print(f"Iteration : {i} of {upper_bound} (took {elasped_time:.4f} seconds)")
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df.to_csv(file_location, index=False)
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print("Progress saved to file")
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print("=-=-=-=-=-=-=-=-=-=-=-=-=-=-=")
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print("Result logged to {file_location.csv}")
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def next_step(sequence: str) -> str:
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last_char = None
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last_char_count = 0
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ret = ""
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for char in sequence:
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if last_char == None:
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last_char = char
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last_char_count = 1
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elif char == last_char:
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last_char_count += 1
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else:
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ret += str(last_char_count)
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ret += str(last_char)
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last_char_count = 1
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last_char = char
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if ret != None:
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ret += str(last_char_count)
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ret += str(last_char)
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return ret
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if __name__ == "__main__":
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main()
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