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   two members sum in hash table question
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   Author  Topic: two members sum in hash table question  (Read 1381 times)
transgalactic
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two members sum in hash table question  
« on: Jan 15th, 2012, 7:15am »
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there is a set S which consists of n numbers.
and another number Z
 
write an algorithm which checks if there are
two different members in S which  sum is Z.
 
it should be done in avarage time of  
theta(n)
 
??
 
i thought of using the chaining method of hashing
to store our set S
(creating linked list in case of colitions)
so in this case we will have theta(1+alfa) to search  for some member.
 
so for each member in the hashe table i can use the search method to find the  
z-S[i]  member.(in linear loop)
 
 
 
and
does
my solution correct?
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Re: two members sum in hash table question  
« Reply #1 on: Jan 15th, 2012, 9:58am »
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If S is sorted, you could just put pointers at both ends, and increase the left pointer if the two elements pointed to sum to a value less than Z and decrease the right pointer if it's greater.
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transgalactic
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Re: two members sum in hash table question  
« Reply #2 on: Jan 15th, 2012, 11:52am »
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its not sorted
what about my solution with the hash table
?
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