Nth Digit LeetCode solution in Python

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class Solution:
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    def findNthDigit(self, n: int) -> int:
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        low, high = 1, 0
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        place = 1
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        sum_ = 0
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        while True:
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            high = 10**place - 1
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            digits_sum = (high - low + 1) * place
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            if sum_ <= n <= digits_sum + sum_:
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                break
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            else:
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                low = high + 1
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                sum_ += digits_sum
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            place += 1
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        remaining_digits = n - sum_
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        position = (remaining_digits - 1) // place
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        index_ = remaining_digits - position * place - 1
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        number = low + position
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        # return str(number)[index_]
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        count = 0
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        index_ = place - 1 - index_
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        l = []
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        #
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        while number:
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            if count == index_:
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                return number % 10
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            number = number // 10
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            count += 1