Flavored Ice-cream Triangle

Our friend Brilli likes three flavors of ice-cream the most : Chocolate, Vanilla and Butter pecan . Brilli buys ice-creams everyday while returning from garden to home. Today while checking her monthly spending, she wrote down price of the ice-creams she bought last month. Following are the 30 numbers representing the cost of ice-cream for 30 days :-

[74 153 30 18 110 99 123 5 26 15 285 290 74 29 290 204 4 283 144 96 255 248 212 210 162 289 26 240 282 91]

Now, Brilli labels the above costs randomly by the tag Chocolate, Vanilla or Butter Pecan, assuming she ate the labeled flavor on the given day(she doesn't remember the actual flavor she ate). The price of same flavored ice cream might vary on two days as it depends on the quantity she had chosen.

Brilli being a geometry lover, wonders in how many ways can she label the costs such that :- - The three costs of total money spent on the three flavors forms a triangle of positive area

Explanation : when we sum total her monthly spending on Chocolate, Vanilla and Butter pecan individually, we get three numbers : C , V and B which are monthly spending on Chocolate, Vanilla and Butter pecan respectively. Then find the number of ways of labeling the costs such that C,V and B form a positive area triangle.

Report the answer modulo $10^{9}+7$