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39 lines
966 B
Python
39 lines
966 B
Python
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from collections.abc import Iterator
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def lexical_order(max_number: int) -> Iterator[int]:
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"""
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Generate numbers in lexical order from 1 to max_number.
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>>> " ".join(map(str, lexical_order(13)))
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'1 10 11 12 13 2 3 4 5 6 7 8 9'
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>>> list(lexical_order(1))
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[1]
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>>> " ".join(map(str, lexical_order(20)))
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'1 10 11 12 13 14 15 16 17 18 19 2 20 3 4 5 6 7 8 9'
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>>> " ".join(map(str, lexical_order(25)))
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'1 10 11 12 13 14 15 16 17 18 19 2 20 21 22 23 24 25 3 4 5 6 7 8 9'
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>>> list(lexical_order(12))
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[1, 10, 11, 12, 2, 3, 4, 5, 6, 7, 8, 9]
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"""
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stack = [1]
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while stack:
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num = stack.pop()
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if num > max_number:
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continue
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yield num
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if (num % 10) != 9:
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stack.append(num + 1)
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stack.append(num * 10)
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if __name__ == "__main__":
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from doctest import testmod
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testmod()
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print(f"Numbers from 1 to 25 in lexical order: {list(lexical_order(26))}")
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