I need a help with this dynamic programming problem please.
It is from the entrance exam practice problem set:

Given an integer sequence x_1 ... x_n is there a nonempty sub
sequences
which sums to zero?

Describe - no code necessary - a dynamic programming solution based on
the predicate:

"A nonempty sub sequence of x_1 ... x_n has sum s"

I think that solution should be built on the
recursive backtracking function that selects a min
 from these subsequences choices, but I think I am missing lots of
details
here.

Any assistance is appreciated. Thank you in advance.

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