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								"""Bisection algorithms."""
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								def insort(a, x, lo=0, hi=None):
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								    """Insert item x in list a, and keep it sorted assuming a is sorted."""
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								    if hi is None:
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								        hi = len(a)
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								    while lo < hi:
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								        mid = (lo+hi)/2
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								        if x < a[mid]: hi = mid
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								        else: lo = mid+1
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								    a.insert(lo, x)
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								def bisect(a, x, lo=0, hi=None):
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								    """Find the index where to insert item x in list a, assuming a is sorted."""
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								    if hi is None:
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								        hi = len(a)
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								    while lo < hi:
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								        mid = (lo+hi)/2
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								        if x < a[mid]: hi = mid
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								        else: lo = mid+1
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								    return lo
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