47 lines
1.5 KiB
Python
47 lines
1.5 KiB
Python
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"""
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Given a list of integers, made up of (hopefully) a small number of long runs
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of consecutive integers, compute a representation of the form
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((start1, end1), (start2, end2) ...). Then answer the question "was x present
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in the original list?" in time O(log(# runs)).
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"""
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import bisect
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def intranges_from_list(list_):
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"""Represent a list of integers as a sequence of ranges:
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((start_0, end_0), (start_1, end_1), ...), such that the original
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integers are exactly those x such that start_i <= x < end_i for some i.
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"""
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sorted_list = sorted(list_)
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ranges = []
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last_write = -1
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for i in range(len(sorted_list)):
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if i+1 < len(sorted_list):
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if sorted_list[i] == sorted_list[i+1]-1:
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continue
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current_range = sorted_list[last_write+1:i+1]
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range_tuple = (current_range[0], current_range[-1] + 1)
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ranges.append(range_tuple)
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last_write = i
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return tuple(ranges)
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def intranges_contain(int_, ranges):
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"""Determine if `int_` falls into one of the ranges in `ranges`."""
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tuple_ = (int_, int_)
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pos = bisect.bisect_left(ranges, tuple_)
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# we could be immediately ahead of a tuple (start, end)
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# with start < int_ <= end
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if pos > 0:
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left, right = ranges[pos-1]
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if left <= int_ < right:
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return True
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# or we could be immediately behind a tuple (int_, end)
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if pos < len(ranges):
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left, _ = ranges[pos]
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if left == int_:
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return True
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return False
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