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Questions about ways of storing data so that it can be used advantageously by algorithms.

1 vote
1 answer
101 views

an appropriate data-structure to represent a family of sets (Which supports exactly MAKE-SET...

I need to represent a family F of sets with some appropriate datastructure. The datastructure needs to support the procedures MAKE-SET(x), DISJOINT-UNION(A,B) and REPORT(A). I dont have a problem with …
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  • 83
2 votes
1 answer
648 views

Implementing SUM(i,j) and CHANGE(i,j) in O(log(n)) using a datastructure with O(n) space com...

I have two operations: $Sum(i,j)$ : Calculate $A[i]+A[i+1]+....+A[j]$ $Change(i,x)$: Set $A[i]=x$ I need to implement these operations in an appropriate data structure using $O(n)$ space ($n$ is th …
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  • 83