Problem 56030. Pay up

You live in a world where arbitrary denominations of currency exist. You owe your friend a sum of money denoted by s. However, it is possible that neither of you carry exact change for this deal. You and your friend happen to carry currency in only certain specific denominations. You both take all the money you have and lay them out on a table and identify every bill of currency you have collectively. The list L contains the values of each of the bills such that the values corresponding to your bills come with a positive sign and that of your friend negative. The function pay takes as arguments L and s and returns boolean true if the exchange is possible and false otherwise. Complete the definition of pay.
(1) sZ
(2) L ∈ T ∣ T = { { x₁,x₂,...,xₙ } ∣ xᵢ ∈ Z, i ∈ N } ∩ { ∅ }

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45.0% Correct | 55.0% Incorrect
Last Solution submitted on Oct 12, 2022

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