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authorMattias Andrée <maandree@kth.se>2020-06-11 18:29:01 +0200
committerMattias Andrée <maandree@kth.se>2020-06-11 18:41:35 +0200
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Signed-off-by: Mattias Andrée <maandree@kth.se>
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+Binary multisearch
+
+Description:
+ Given a sorted list of unique items, find their in another
+ list sorted list their position or if missing where they
+ ought to be inserted. Both list must allow random access.
+
+Complexity:
+ n = number of elements in target list
+ m = number of element to locate
+
+ Time complexity: O(S(n) + m)
+ S = time complexity function of underlaying search algorithm,
+ e.g. S(n) = O(log n) in average case for binary search given O(1) comparison.
+
+ Auxiliary space complexity:
+ List return version: O(m)
+ Online version: O(log m)
+
+Notes:
+ In online version, positions for elements are returned in
+ arbitrary (deterministic) order, rather than sequential.
+
+I wrote this algorithm back in Feburary 2013.