# (Homework Solution): 14.14 4-sum. Develop an algorithm for the 4-sum problem.

14.14 4-sum. Develop an algorithm for the 4-sum problem.

Hey,

4-sum algorithm is basically about teling the quadrruplets whose sum is given.

It can be solve best by hashing algorithm

• Function 4sum(a[], size, sum)
• Declare a map integer and pair of list
• For i=0 to size-2
• For j=i+1 to size-1
• Declare and initialize v=sum-a[i]-a[j]
• If map has a value v in it then
• Traverse through map and check the pair which have the total equal to the remaining of total
• Check if (first value of pair is not equal to i and j ) AND (second value of pair is not equal to i and j )
• PRINT a[i]+” “+a[j]+” “+a[secondvalue]+” “+a[firstvalue]
• Return true;
• EndIf
• EndLoop
• EndIf
• EndLoop
• EndLoop
• EndFunction

Call the function as 4sum(a,a.length,sum)

The complexity of it is O(n^2log(n))

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