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algorithm - Is partitioning an array into halves with equal sums P or NP?

This was an algorithm interview question about the Partition Problem.

You are given an array which consists of numbers with between 0 and 5 digits. Write a function which will return whether the array can be divided into 2 halves such a that sum of the two halves would be equal.

Is this an NP problem or can it be solved by dynamic programming?

"between 0 and 5 digit" means 0 ~ 99999, I think.


I found a good answer to this outside SO here.

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This is clearly NP - a solution can be verified in polynomial time.

However it is not NP-complete because the elements are bounded (number between 0 to 5 digit range).

The problem is known to undergo a "phase transition", being easy for m / n < 1 and hard otherwise


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