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# Runtime: 86 ms (Top 48.63%) | Memory: 14 MB (Top 27.24%)
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class Solution:
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    def computeArea(
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        self,
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        ax1: int,
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        ay1: int,
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        ax2: int,
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        ay2: int,
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        bx1: int,
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        by1: int,
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        bx2: int,
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        by2: int,
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    ) -> int:
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        def segment(ax1, ax2, bx1, bx2):
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            return min(ax2, bx2) - max(ax1, bx1) if max(ax1, bx1) < min(ax2, bx2) else 0
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        return (
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            (ax2 - ax1) * (ay2 - ay1)
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            + (bx2 - bx1) * (by2 - by1)
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            - segment(ax1, ax2, bx1, bx2) * segment(ay1, ay2, by1, by2)
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        )