make all values zero of an integer array with minimum no. of binary operations

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make all values zero of an integer array with minimum no. of binary operations
I am working on a research project, where I need to convert an integer array's all value to zero using minimum no. of binary(addition/ subtraction only) operations.
For e.g.
Input Array: [ -9 , -3, -2, 8, 5, 1 ]
Output: 4
operations: op1) -9 + 8 = -1
op2) -1 + 1 = 0
op3) -3 + 5 = 2
op4) -2 + 2 = 0
Input array: [ -6, -5, -4, 6, 9]
output: 3
operations: 1) -6+6 = 0
2) -5 + 9 = 4
3) -4 + 4 =0
I cannot think of even the brute force solution.
constraints: Minimum number of Binary operations(addition/subtraction only).
its a variation of Hungarian algorithm with additional constraints for the project work.
– pankaj kashyap
Jul 1 at 14:35
I have updated the tags, and I know the algorithm( its a variation of Hungarian algorithm ), but due to additional constraints, I am not able to put up into the solution.
– pankaj kashyap
Jul 1 at 15:02
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Why do you need to do this?
– Tim Biegeleisen
Jul 1 at 14:30