Determine if a triangle formed by three points a(x1,y1), b(x2, y2), and c(x3, y3) is non-degenerate. If two given points, p = (xp, yp) and q = (xq, yq), are located on or inside a triangle, they belong to the triangle. Return the correct scenario number. Scenarios: 0: the lines do not form a valid non-degenerate triangle 1: point p belongs to the triangle but point q does not • 2: point q belongs to the triangle but point p does not • 3: both points p and q belong to the triangle 4: neither point p nor point q belong to the triangle Note: A triangle is considered non-degenerate if it meets the following conditions, where |ab| denotes the length of the line segment between points a and b:
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